TSTP Solution File: HWV039+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV039+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 02:11:00 EDT 2022
% Result : Theorem 7.56s 5.17s
% Output : Proof 11.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HWV039+2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 22:10:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 7.56/5.17 % SZS status Theorem
% 7.56/5.17 % SZS output start Proof
% 7.56/5.17 tff(v180_type, type, (
% 7.56/5.17 v180: $i > $o)).
% 7.56/5.17 tff(constB127_type, type, (
% 7.56/5.17 constB127: $i)).
% 7.56/5.17 tff(tptp_fun_VarCurr_0_type, type, (
% 7.56/5.17 tptp_fun_VarCurr_0: $i)).
% 7.56/5.17 tff(constB199_type, type, (
% 7.56/5.17 constB199: $i)).
% 7.56/5.17 tff(v157_type, type, (
% 7.56/5.17 v157: $i > $o)).
% 7.56/5.17 tff(v192_type, type, (
% 7.56/5.17 v192: $i > $o)).
% 7.56/5.17 tff(v191_type, type, (
% 7.56/5.17 v191: $i > $o)).
% 7.56/5.17 tff(v82_type, type, (
% 7.56/5.17 v82: $i > $o)).
% 7.56/5.17 tff(reachableState_type, type, (
% 7.56/5.17 reachableState: $i > $o)).
% 7.56/5.17 tff(v178_type, type, (
% 7.56/5.17 v178: $i > $o)).
% 7.56/5.17 tff(constB198_type, type, (
% 7.56/5.17 constB198: $i)).
% 7.56/5.17 tff(nextState_type, type, (
% 7.56/5.17 nextState: ( $i * $i ) > $o)).
% 7.56/5.17 tff(v185_type, type, (
% 7.56/5.17 v185: $i > $o)).
% 7.56/5.17 tff(v181_type, type, (
% 7.56/5.17 v181: $i > $o)).
% 7.56/5.17 tff(v187_type, type, (
% 7.56/5.17 v187: $i > $o)).
% 7.56/5.17 tff(v186_type, type, (
% 7.56/5.17 v186: $i > $o)).
% 7.56/5.17 tff(v159_type, type, (
% 7.56/5.17 v159: $i > $o)).
% 7.56/5.17 tff(v184_type, type, (
% 7.56/5.17 v184: $i > $o)).
% 7.56/5.17 tff(v9_type, type, (
% 7.56/5.17 v9: $i > $o)).
% 7.56/5.17 tff(v39_type, type, (
% 7.56/5.17 v39: $i > $o)).
% 7.56/5.17 tff(v1_type, type, (
% 7.56/5.17 v1: $i > $o)).
% 7.56/5.17 tff(v182_type, type, (
% 7.56/5.17 v182: $i > $o)).
% 7.56/5.17 tff(constB197_type, type, (
% 7.56/5.17 constB197: $i)).
% 7.56/5.17 tff(v183_type, type, (
% 7.56/5.17 v183: $i > $o)).
% 7.56/5.17 tff(v26_type, type, (
% 7.56/5.17 v26: $i > $o)).
% 7.56/5.17 tff(v13_type, type, (
% 7.56/5.17 v13: $i > $o)).
% 7.56/5.17 tff(v6_type, type, (
% 7.56/5.17 v6: $i > $o)).
% 7.56/5.17 tff(v21_type, type, (
% 7.56/5.17 v21: $i > $o)).
% 7.56/5.17 tff(v20_type, type, (
% 7.56/5.17 v20: $i > $o)).
% 7.56/5.17 tff(v19_type, type, (
% 7.56/5.17 v19: $i > $o)).
% 7.56/5.17 tff(v22_type, type, (
% 7.56/5.17 v22: $i > $o)).
% 7.56/5.17 tff(v18_type, type, (
% 7.56/5.17 v18: $i > $o)).
% 7.56/5.17 tff(v4_type, type, (
% 7.56/5.17 v4: $i > $o)).
% 7.56/5.17 tff(v161_type, type, (
% 7.56/5.17 v161: $i > $o)).
% 7.56/5.17 tff(v168_type, type, (
% 7.56/5.17 v168: $i > $o)).
% 7.56/5.17 tff(v139_type, type, (
% 7.56/5.17 v139: $i > $o)).
% 7.56/5.17 tff(v88_type, type, (
% 7.56/5.17 v88: ( $i * $i ) > $o)).
% 7.56/5.17 tff(bitIndex2_type, type, (
% 7.56/5.17 bitIndex2: $i)).
% 7.56/5.17 tff(bitIndex1_type, type, (
% 7.56/5.17 bitIndex1: $i)).
% 7.56/5.17 tff(bitIndex0_type, type, (
% 7.56/5.17 bitIndex0: $i)).
% 7.56/5.17 tff(v90_type, type, (
% 7.56/5.17 v90: ( $i * $i ) > $o)).
% 7.56/5.17 tff(less_3_type, type, (
% 7.56/5.17 less_3: $i > $o)).
% 7.56/5.17 tff(constB196_type, type, (
% 7.56/5.17 constB196: $i)).
% 7.56/5.17 tff(v100_type, type, (
% 7.56/5.17 v100: $i > $o)).
% 7.56/5.17 tff(v110_type, type, (
% 7.56/5.17 v110: $i > $o)).
% 7.56/5.17 tff(v101_type, type, (
% 7.56/5.17 v101: $i > $o)).
% 7.56/5.17 tff(v102_type, type, (
% 7.56/5.17 v102: $i > $o)).
% 7.56/5.17 tff(v129_type, type, (
% 7.56/5.17 v129: ( $i * $i ) > $o)).
% 7.56/5.17 tff(constB195_type, type, (
% 7.56/5.17 constB195: $i)).
% 7.56/5.17 tff(v104_type, type, (
% 7.56/5.17 v104: $i > $o)).
% 7.56/5.17 tff(v108_type, type, (
% 7.56/5.17 v108: $i > $o)).
% 7.56/5.17 tff(v112_type, type, (
% 7.56/5.17 v112: $i > $o)).
% 7.56/5.17 tff(v111_type, type, (
% 7.56/5.17 v111: $i > $o)).
% 7.56/5.17 tff(v126_type, type, (
% 7.56/5.17 v126: $i > $o)).
% 7.56/5.17 tff(v113_type, type, (
% 7.56/5.17 v113: $i > $o)).
% 7.56/5.17 tff(v125_type, type, (
% 7.56/5.17 v125: $i > $o)).
% 7.56/5.17 tff(v114_type, type, (
% 7.56/5.17 v114: $i > $o)).
% 7.56/5.17 tff(v124_type, type, (
% 7.56/5.17 v124: $i > $o)).
% 7.56/5.17 tff(v115_type, type, (
% 7.56/5.17 v115: $i > $o)).
% 7.56/5.17 tff(v123_type, type, (
% 7.56/5.17 v123: $i > $o)).
% 7.56/5.17 tff(v116_type, type, (
% 7.56/5.17 v116: $i > $o)).
% 7.56/5.17 tff(v122_type, type, (
% 7.56/5.17 v122: $i > $o)).
% 7.56/5.17 tff(v117_type, type, (
% 7.56/5.17 v117: $i > $o)).
% 7.56/5.17 tff(v121_type, type, (
% 7.56/5.17 v121: $i > $o)).
% 7.56/5.17 tff(v118_type, type, (
% 7.56/5.17 v118: $i > $o)).
% 7.56/5.17 tff(v120_type, type, (
% 7.56/5.17 v120: $i > $o)).
% 7.56/5.17 tff(v119_type, type, (
% 7.56/5.17 v119: $i > $o)).
% 7.56/5.17 tff(constB194_type, type, (
% 7.56/5.17 constB194: $i)).
% 7.56/5.17 tff(constB193_type, type, (
% 7.56/5.17 constB193: $i)).
% 7.56/5.17 tff(constB192_type, type, (
% 7.56/5.17 constB192: $i)).
% 7.56/5.17 tff(constB191_type, type, (
% 7.56/5.17 constB191: $i)).
% 7.56/5.17 tff(constB190_type, type, (
% 7.56/5.17 constB190: $i)).
% 7.56/5.17 tff(constB189_type, type, (
% 7.56/5.17 constB189: $i)).
% 7.56/5.17 tff(constB188_type, type, (
% 7.56/5.17 constB188: $i)).
% 7.56/5.17 tff(constB187_type, type, (
% 7.56/5.17 constB187: $i)).
% 7.56/5.17 tff(constB186_type, type, (
% 7.56/5.17 constB186: $i)).
% 7.56/5.17 tff(constB185_type, type, (
% 7.56/5.17 constB185: $i)).
% 7.56/5.17 tff(constB184_type, type, (
% 7.56/5.17 constB184: $i)).
% 7.56/5.17 tff(constB183_type, type, (
% 7.56/5.17 constB183: $i)).
% 7.56/5.17 tff(constB182_type, type, (
% 7.56/5.17 constB182: $i)).
% 7.56/5.17 tff(constB181_type, type, (
% 7.56/5.17 constB181: $i)).
% 7.56/5.17 tff(constB180_type, type, (
% 7.56/5.17 constB180: $i)).
% 7.56/5.17 tff(constB179_type, type, (
% 7.56/5.17 constB179: $i)).
% 7.56/5.17 tff(constB178_type, type, (
% 7.56/5.17 constB178: $i)).
% 7.56/5.17 tff(constB177_type, type, (
% 7.56/5.17 constB177: $i)).
% 7.56/5.17 tff(constB176_type, type, (
% 7.56/5.17 constB176: $i)).
% 7.56/5.17 tff(constB175_type, type, (
% 7.56/5.17 constB175: $i)).
% 7.56/5.17 tff(constB174_type, type, (
% 7.56/5.17 constB174: $i)).
% 7.56/5.17 tff(constB173_type, type, (
% 7.56/5.17 constB173: $i)).
% 7.56/5.17 tff(constB172_type, type, (
% 7.56/5.17 constB172: $i)).
% 7.56/5.17 tff(constB171_type, type, (
% 7.56/5.17 constB171: $i)).
% 7.56/5.17 tff(constB170_type, type, (
% 7.56/5.17 constB170: $i)).
% 7.56/5.17 tff(constB169_type, type, (
% 7.56/5.17 constB169: $i)).
% 7.56/5.17 tff(constB168_type, type, (
% 7.56/5.17 constB168: $i)).
% 7.56/5.17 tff(constB167_type, type, (
% 7.56/5.17 constB167: $i)).
% 7.56/5.17 tff(constB166_type, type, (
% 7.56/5.17 constB166: $i)).
% 7.56/5.17 tff(constB165_type, type, (
% 7.56/5.17 constB165: $i)).
% 7.56/5.17 tff(constB164_type, type, (
% 7.56/5.17 constB164: $i)).
% 7.56/5.17 tff(constB163_type, type, (
% 7.56/5.17 constB163: $i)).
% 7.56/5.17 tff(constB162_type, type, (
% 7.56/5.17 constB162: $i)).
% 7.56/5.17 tff(constB161_type, type, (
% 7.56/5.17 constB161: $i)).
% 7.56/5.17 tff(constB160_type, type, (
% 7.56/5.17 constB160: $i)).
% 7.56/5.17 tff(constB159_type, type, (
% 7.56/5.17 constB159: $i)).
% 7.56/5.17 tff(constB158_type, type, (
% 7.56/5.17 constB158: $i)).
% 7.56/5.17 tff(constB157_type, type, (
% 7.56/5.17 constB157: $i)).
% 7.56/5.17 tff(constB156_type, type, (
% 7.56/5.17 constB156: $i)).
% 7.56/5.17 tff(constB155_type, type, (
% 7.56/5.17 constB155: $i)).
% 7.56/5.17 tff(constB154_type, type, (
% 7.56/5.17 constB154: $i)).
% 7.56/5.17 tff(constB153_type, type, (
% 7.56/5.17 constB153: $i)).
% 7.56/5.17 tff(constB152_type, type, (
% 7.56/5.17 constB152: $i)).
% 7.56/5.17 tff(constB151_type, type, (
% 7.56/5.17 constB151: $i)).
% 7.56/5.17 tff(constB150_type, type, (
% 7.56/5.17 constB150: $i)).
% 7.56/5.17 tff(constB149_type, type, (
% 7.56/5.17 constB149: $i)).
% 7.56/5.17 tff(constB148_type, type, (
% 7.56/5.17 constB148: $i)).
% 7.56/5.17 tff(constB147_type, type, (
% 7.56/5.17 constB147: $i)).
% 7.56/5.17 tff(constB146_type, type, (
% 7.56/5.17 constB146: $i)).
% 7.56/5.17 tff(constB145_type, type, (
% 7.56/5.17 constB145: $i)).
% 7.56/5.17 tff(constB144_type, type, (
% 7.56/5.17 constB144: $i)).
% 7.56/5.17 tff(constB143_type, type, (
% 7.56/5.17 constB143: $i)).
% 7.56/5.17 tff(constB142_type, type, (
% 7.56/5.17 constB142: $i)).
% 7.56/5.17 tff(constB141_type, type, (
% 7.56/5.17 constB141: $i)).
% 7.56/5.17 tff(constB140_type, type, (
% 7.56/5.17 constB140: $i)).
% 7.56/5.17 tff(constB139_type, type, (
% 7.56/5.17 constB139: $i)).
% 7.56/5.17 tff(constB138_type, type, (
% 7.56/5.17 constB138: $i)).
% 7.56/5.17 tff(constB137_type, type, (
% 7.56/5.17 constB137: $i)).
% 7.56/5.17 tff(constB136_type, type, (
% 7.56/5.17 constB136: $i)).
% 7.56/5.17 tff(constB135_type, type, (
% 7.56/5.17 constB135: $i)).
% 7.56/5.17 tff(constB134_type, type, (
% 7.56/5.17 constB134: $i)).
% 7.56/5.17 tff(constB133_type, type, (
% 7.56/5.17 constB133: $i)).
% 7.56/5.17 tff(constB132_type, type, (
% 7.56/5.17 constB132: $i)).
% 7.56/5.17 tff(constB131_type, type, (
% 7.56/5.17 constB131: $i)).
% 7.56/5.17 tff(constB130_type, type, (
% 7.56/5.17 constB130: $i)).
% 7.56/5.17 tff(constB129_type, type, (
% 7.56/5.17 constB129: $i)).
% 7.56/5.17 tff(constB128_type, type, (
% 7.56/5.17 constB128: $i)).
% 7.56/5.17 tff(constB126_type, type, (
% 7.56/5.17 constB126: $i)).
% 7.56/5.17 tff(constB125_type, type, (
% 7.56/5.17 constB125: $i)).
% 7.56/5.17 tff(constB124_type, type, (
% 7.56/5.17 constB124: $i)).
% 7.56/5.17 tff(constB123_type, type, (
% 7.56/5.17 constB123: $i)).
% 7.56/5.17 tff(constB122_type, type, (
% 7.56/5.17 constB122: $i)).
% 7.56/5.17 tff(constB121_type, type, (
% 7.56/5.17 constB121: $i)).
% 7.56/5.17 tff(constB120_type, type, (
% 7.56/5.17 constB120: $i)).
% 7.56/5.17 tff(constB119_type, type, (
% 7.56/5.17 constB119: $i)).
% 7.56/5.17 tff(constB118_type, type, (
% 7.56/5.17 constB118: $i)).
% 7.56/5.17 tff(constB117_type, type, (
% 7.56/5.17 constB117: $i)).
% 7.56/5.17 tff(constB116_type, type, (
% 7.56/5.17 constB116: $i)).
% 7.56/5.17 tff(constB115_type, type, (
% 7.56/5.17 constB115: $i)).
% 7.56/5.17 tff(constB114_type, type, (
% 7.56/5.17 constB114: $i)).
% 7.56/5.17 tff(constB113_type, type, (
% 7.56/5.17 constB113: $i)).
% 7.56/5.17 tff(constB112_type, type, (
% 7.56/5.17 constB112: $i)).
% 7.56/5.17 tff(constB111_type, type, (
% 7.56/5.17 constB111: $i)).
% 7.56/5.17 tff(constB110_type, type, (
% 7.56/5.17 constB110: $i)).
% 7.56/5.17 tff(constB109_type, type, (
% 7.56/5.17 constB109: $i)).
% 7.56/5.17 tff(constB108_type, type, (
% 7.56/5.17 constB108: $i)).
% 7.56/5.17 tff(constB107_type, type, (
% 7.56/5.17 constB107: $i)).
% 7.56/5.17 tff(constB106_type, type, (
% 7.56/5.17 constB106: $i)).
% 7.56/5.17 tff(constB105_type, type, (
% 7.56/5.17 constB105: $i)).
% 7.56/5.17 tff(constB104_type, type, (
% 7.56/5.17 constB104: $i)).
% 7.56/5.17 tff(constB103_type, type, (
% 7.56/5.17 constB103: $i)).
% 7.56/5.17 tff(constB102_type, type, (
% 7.56/5.17 constB102: $i)).
% 7.56/5.17 tff(constB101_type, type, (
% 7.56/5.17 constB101: $i)).
% 7.56/5.17 tff(constB100_type, type, (
% 7.56/5.17 constB100: $i)).
% 7.56/5.17 tff(constB99_type, type, (
% 7.56/5.17 constB99: $i)).
% 7.56/5.17 tff(constB98_type, type, (
% 7.56/5.17 constB98: $i)).
% 7.56/5.17 tff(constB97_type, type, (
% 7.56/5.17 constB97: $i)).
% 7.56/5.17 tff(constB96_type, type, (
% 7.56/5.17 constB96: $i)).
% 7.56/5.17 tff(constB95_type, type, (
% 7.56/5.17 constB95: $i)).
% 7.56/5.17 tff(constB94_type, type, (
% 7.56/5.17 constB94: $i)).
% 7.56/5.17 tff(constB93_type, type, (
% 7.56/5.17 constB93: $i)).
% 7.56/5.17 tff(constB92_type, type, (
% 7.56/5.17 constB92: $i)).
% 7.56/5.17 tff(constB91_type, type, (
% 7.56/5.17 constB91: $i)).
% 7.56/5.17 tff(constB90_type, type, (
% 7.56/5.17 constB90: $i)).
% 7.56/5.17 tff(constB89_type, type, (
% 7.56/5.17 constB89: $i)).
% 7.56/5.17 tff(constB88_type, type, (
% 7.56/5.17 constB88: $i)).
% 7.56/5.17 tff(constB87_type, type, (
% 7.56/5.17 constB87: $i)).
% 7.56/5.17 tff(constB86_type, type, (
% 7.56/5.17 constB86: $i)).
% 7.56/5.17 tff(constB85_type, type, (
% 7.56/5.17 constB85: $i)).
% 7.56/5.17 tff(constB84_type, type, (
% 7.56/5.17 constB84: $i)).
% 7.56/5.17 tff(constB83_type, type, (
% 7.56/5.17 constB83: $i)).
% 7.56/5.17 tff(constB82_type, type, (
% 7.56/5.17 constB82: $i)).
% 7.56/5.17 tff(constB81_type, type, (
% 7.56/5.17 constB81: $i)).
% 7.56/5.17 tff(constB80_type, type, (
% 7.56/5.17 constB80: $i)).
% 7.56/5.17 tff(constB79_type, type, (
% 7.56/5.17 constB79: $i)).
% 7.56/5.17 tff(constB78_type, type, (
% 7.56/5.17 constB78: $i)).
% 7.56/5.17 tff(constB77_type, type, (
% 7.56/5.17 constB77: $i)).
% 7.56/5.17 tff(constB76_type, type, (
% 7.56/5.17 constB76: $i)).
% 7.56/5.17 tff(constB75_type, type, (
% 7.56/5.17 constB75: $i)).
% 7.56/5.17 tff(constB74_type, type, (
% 7.56/5.17 constB74: $i)).
% 7.56/5.17 tff(constB73_type, type, (
% 7.56/5.17 constB73: $i)).
% 7.56/5.17 tff(constB72_type, type, (
% 7.56/5.17 constB72: $i)).
% 7.56/5.17 tff(constB71_type, type, (
% 7.56/5.17 constB71: $i)).
% 7.56/5.17 tff(constB70_type, type, (
% 7.56/5.17 constB70: $i)).
% 7.56/5.17 tff(constB69_type, type, (
% 7.56/5.17 constB69: $i)).
% 7.56/5.17 tff(constB68_type, type, (
% 7.56/5.17 constB68: $i)).
% 7.56/5.17 tff(constB67_type, type, (
% 7.56/5.17 constB67: $i)).
% 7.56/5.17 tff(constB66_type, type, (
% 7.56/5.17 constB66: $i)).
% 7.56/5.17 tff(constB65_type, type, (
% 7.56/5.17 constB65: $i)).
% 7.56/5.17 tff(constB64_type, type, (
% 7.56/5.17 constB64: $i)).
% 7.56/5.17 tff(constB63_type, type, (
% 7.56/5.17 constB63: $i)).
% 7.56/5.17 tff(constB62_type, type, (
% 7.56/5.17 constB62: $i)).
% 7.56/5.17 tff(constB61_type, type, (
% 7.56/5.17 constB61: $i)).
% 7.56/5.17 tff(constB60_type, type, (
% 7.56/5.17 constB60: $i)).
% 7.56/5.17 tff(constB59_type, type, (
% 7.56/5.17 constB59: $i)).
% 7.56/5.17 tff(constB58_type, type, (
% 7.56/5.17 constB58: $i)).
% 7.56/5.17 tff(constB57_type, type, (
% 7.56/5.17 constB57: $i)).
% 7.56/5.17 tff(constB56_type, type, (
% 7.56/5.17 constB56: $i)).
% 7.56/5.17 tff(constB55_type, type, (
% 7.56/5.17 constB55: $i)).
% 7.56/5.17 tff(constB54_type, type, (
% 7.56/5.17 constB54: $i)).
% 7.56/5.17 tff(constB53_type, type, (
% 7.56/5.17 constB53: $i)).
% 7.56/5.17 tff(constB52_type, type, (
% 7.56/5.17 constB52: $i)).
% 7.56/5.17 tff(constB51_type, type, (
% 7.56/5.17 constB51: $i)).
% 7.56/5.17 tff(constB50_type, type, (
% 7.56/5.17 constB50: $i)).
% 7.56/5.17 tff(constB49_type, type, (
% 7.56/5.17 constB49: $i)).
% 7.56/5.17 tff(constB48_type, type, (
% 7.56/5.17 constB48: $i)).
% 7.56/5.17 tff(constB47_type, type, (
% 7.56/5.17 constB47: $i)).
% 7.56/5.17 tff(constB46_type, type, (
% 7.56/5.17 constB46: $i)).
% 7.56/5.17 tff(constB45_type, type, (
% 7.56/5.17 constB45: $i)).
% 7.56/5.17 tff(constB44_type, type, (
% 7.56/5.17 constB44: $i)).
% 7.56/5.17 tff(constB43_type, type, (
% 7.56/5.17 constB43: $i)).
% 7.56/5.17 tff(constB42_type, type, (
% 7.56/5.17 constB42: $i)).
% 7.56/5.17 tff(constB41_type, type, (
% 7.56/5.17 constB41: $i)).
% 7.56/5.17 tff(constB40_type, type, (
% 7.56/5.17 constB40: $i)).
% 7.56/5.17 tff(constB39_type, type, (
% 7.56/5.17 constB39: $i)).
% 7.56/5.17 tff(constB38_type, type, (
% 7.56/5.17 constB38: $i)).
% 7.56/5.17 tff(constB37_type, type, (
% 7.56/5.17 constB37: $i)).
% 7.56/5.17 tff(constB36_type, type, (
% 7.56/5.17 constB36: $i)).
% 7.56/5.17 tff(constB35_type, type, (
% 7.56/5.17 constB35: $i)).
% 7.56/5.17 tff(constB34_type, type, (
% 7.56/5.17 constB34: $i)).
% 7.56/5.17 tff(constB33_type, type, (
% 7.56/5.17 constB33: $i)).
% 7.56/5.17 tff(constB32_type, type, (
% 7.56/5.17 constB32: $i)).
% 7.56/5.17 tff(constB31_type, type, (
% 7.56/5.17 constB31: $i)).
% 7.56/5.17 tff(constB30_type, type, (
% 7.56/5.17 constB30: $i)).
% 7.56/5.17 tff(constB29_type, type, (
% 7.56/5.17 constB29: $i)).
% 7.56/5.17 tff(constB28_type, type, (
% 7.56/5.17 constB28: $i)).
% 7.56/5.17 tff(constB27_type, type, (
% 7.56/5.17 constB27: $i)).
% 7.56/5.17 tff(constB26_type, type, (
% 7.56/5.17 constB26: $i)).
% 7.56/5.17 tff(constB25_type, type, (
% 7.56/5.17 constB25: $i)).
% 7.56/5.17 tff(constB24_type, type, (
% 7.56/5.17 constB24: $i)).
% 7.56/5.17 tff(constB23_type, type, (
% 7.56/5.17 constB23: $i)).
% 7.56/5.17 tff(constB22_type, type, (
% 7.56/5.17 constB22: $i)).
% 7.56/5.17 tff(constB21_type, type, (
% 7.56/5.17 constB21: $i)).
% 7.56/5.17 tff(constB20_type, type, (
% 7.56/5.17 constB20: $i)).
% 7.56/5.17 tff(constB19_type, type, (
% 7.56/5.17 constB19: $i)).
% 7.56/5.17 tff(constB18_type, type, (
% 7.56/5.17 constB18: $i)).
% 7.56/5.17 tff(constB17_type, type, (
% 7.56/5.17 constB17: $i)).
% 7.56/5.17 tff(constB16_type, type, (
% 7.56/5.17 constB16: $i)).
% 7.56/5.17 tff(constB15_type, type, (
% 7.56/5.17 constB15: $i)).
% 7.56/5.17 tff(constB14_type, type, (
% 7.56/5.17 constB14: $i)).
% 7.56/5.17 tff(constB13_type, type, (
% 7.56/5.17 constB13: $i)).
% 7.56/5.17 tff(constB12_type, type, (
% 7.56/5.17 constB12: $i)).
% 7.56/5.17 tff(constB11_type, type, (
% 7.56/5.17 constB11: $i)).
% 7.56/5.17 tff(constB10_type, type, (
% 7.56/5.17 constB10: $i)).
% 7.56/5.17 tff(constB9_type, type, (
% 7.56/5.17 constB9: $i)).
% 7.56/5.17 tff(constB8_type, type, (
% 7.56/5.17 constB8: $i)).
% 7.56/5.17 tff(constB7_type, type, (
% 7.56/5.17 constB7: $i)).
% 7.56/5.17 tff(constB6_type, type, (
% 7.56/5.17 constB6: $i)).
% 7.56/5.17 tff(constB5_type, type, (
% 7.56/5.17 constB5: $i)).
% 7.56/5.17 tff(constB4_type, type, (
% 7.56/5.17 constB4: $i)).
% 7.56/5.17 tff(constB3_type, type, (
% 7.56/5.17 constB3: $i)).
% 7.56/5.17 tff(constB2_type, type, (
% 7.56/5.17 constB2: $i)).
% 7.56/5.17 tff(constB1_type, type, (
% 7.56/5.17 constB1: $i)).
% 7.56/5.17 tff(constB0_type, type, (
% 7.56/5.17 constB0: $i)).
% 7.56/5.17 tff(v127_type, type, (
% 7.56/5.17 v127: ( $i * $i ) > $o)).
% 7.56/5.17 tff(v130_type, type, (
% 7.56/5.17 v130: ( $i * $i ) > $o)).
% 7.56/5.17 tff(b001_type, type, (
% 7.56/5.17 b001: $i > $o)).
% 7.56/5.17 tff(b010_type, type, (
% 7.56/5.17 b010: $i > $o)).
% 7.56/5.17 tff(b011_type, type, (
% 7.56/5.17 b011: $i > $o)).
% 7.56/5.17 tff(b100_type, type, (
% 7.56/5.17 b100: $i > $o)).
% 7.56/5.17 tff(b101_type, type, (
% 7.56/5.17 b101: $i > $o)).
% 7.56/5.17 tff(b110_type, type, (
% 7.56/5.17 b110: $i > $o)).
% 7.56/5.17 tff(v140_type, type, (
% 7.56/5.17 v140: $i > $o)).
% 7.56/5.17 tff(v164_type, type, (
% 7.56/5.17 v164: $i > $o)).
% 7.56/5.17 tff(v165_type, type, (
% 7.56/5.17 v165: $i > $o)).
% 7.56/5.17 tff(v145_type, type, (
% 7.56/5.17 v145: $i > $o)).
% 7.56/5.17 tff(v166_type, type, (
% 7.56/5.17 v166: $i > $o)).
% 7.56/5.17 tff(v142_type, type, (
% 7.56/5.17 v142: $i > $o)).
% 7.56/5.17 tff(v144_type, type, (
% 7.56/5.17 v144: $i > $o)).
% 7.56/5.17 tff(v143_type, type, (
% 7.56/5.17 v143: $i > $o)).
% 7.56/5.17 tff(v86_type, type, (
% 7.56/5.17 v86: $i > $o)).
% 7.56/5.17 tff(v84_type, type, (
% 7.56/5.17 v84: $i > $o)).
% 7.56/5.17 tff(v194_type, type, (
% 7.56/5.17 v194: $i > $o)).
% 7.56/5.17 tff(v193_type, type, (
% 7.56/5.17 v193: $i > $o)).
% 7.56/5.17 tff(v148_type, type, (
% 7.56/5.17 v148: $i > $o)).
% 7.56/5.17 tff(v135_type, type, (
% 7.56/5.17 v135: $i > $o)).
% 7.56/5.17 tff(v136_type, type, (
% 7.56/5.17 v136: $i > $o)).
% 7.56/5.17 tff(v137_type, type, (
% 7.56/5.17 v137: $i > $o)).
% 7.56/5.17 tff(v167_type, type, (
% 7.56/5.17 v167: $i > $o)).
% 7.56/5.17 tff(v141_type, type, (
% 7.56/5.17 v141: $i > $o)).
% 7.56/5.17 tff(v147_type, type, (
% 7.56/5.17 v147: $i > $o)).
% 7.56/5.17 tff(v146_type, type, (
% 7.56/5.17 v146: $i > $o)).
% 7.56/5.17 tff(constB200_type, type, (
% 7.56/5.17 constB200: $i)).
% 7.56/5.17 tff(1,assumption,(constB199 = VarCurr!0), introduced(assumption)).
% 7.56/5.17 tff(2,plain,
% 7.56/5.17 (v180(constB199) <=> v180(VarCurr!0)),
% 7.56/5.17 inference(monotonicity,[status(thm)],[1])).
% 7.56/5.17 tff(3,plain,
% 7.56/5.17 (v180(VarCurr!0) <=> v180(constB199)),
% 7.56/5.17 inference(symmetry,[status(thm)],[2])).
% 7.56/5.17 tff(4,plain,
% 7.56/5.17 (^[VarNext: $i] : refl((v157(VarNext) <=> v180(VarNext)) <=> (v157(VarNext) <=> v180(VarNext)))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(5,plain,
% 7.56/5.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext)) <=> ![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[4])).
% 7.56/5.17 tff(6,plain,
% 7.56/5.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext)) <=> ![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(7,plain,
% 7.56/5.17 (^[VarNext: $i] : rewrite(($true => (v157(VarNext) <=> v180(VarNext))) <=> (v157(VarNext) <=> v180(VarNext)))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(8,plain,
% 7.56/5.17 (![VarNext: $i] : ($true => (v157(VarNext) <=> v180(VarNext))) <=> ![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[7])).
% 7.56/5.17 tff(9,axiom,(![VarNext: $i] : ($true => (v157(VarNext) <=> v180(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 7.56/5.17 tff(10,plain,
% 7.56/5.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[9, 8])).
% 7.56/5.17 tff(11,plain,
% 7.56/5.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[10, 6])).
% 7.56/5.17 tff(12,plain,(
% 7.56/5.17 ![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 7.56/5.17 inference(skolemize,[status(sab)],[11])).
% 7.56/5.17 tff(13,plain,
% 7.56/5.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[12, 5])).
% 7.56/5.17 tff(14,plain,
% 7.56/5.17 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(VarCurr!0) <=> v180(VarCurr!0))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(15,plain,
% 7.56/5.17 (v157(VarCurr!0) <=> v180(VarCurr!0)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[14, 13])).
% 7.56/5.17 tff(16,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl((v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr))))) <=> (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(17,plain,
% 7.56/5.17 (![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[16])).
% 7.56/5.17 tff(18,plain,
% 7.56/5.17 (^[VarCurr: $i] : rewrite((v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr))) <=> (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(19,plain,
% 7.56/5.17 (![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[18])).
% 7.56/5.17 tff(20,plain,
% 7.56/5.17 (![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(21,axiom,(![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_50')).
% 7.56/5.17 tff(22,plain,
% 7.56/5.17 (![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[21, 20])).
% 7.56/5.17 tff(23,plain,(
% 7.56/5.17 ![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[22])).
% 7.56/5.17 tff(24,plain,
% 7.56/5.17 (![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[23, 19])).
% 7.56/5.17 tff(25,plain,
% 7.56/5.17 (![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[24, 17])).
% 7.56/5.17 tff(26,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))) | (v191(VarCurr!0) <=> (~((~v192(VarCurr!0)) | (~v157(VarCurr!0)))))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(27,plain,
% 7.56/5.17 (v191(VarCurr!0) <=> (~((~v192(VarCurr!0)) | (~v157(VarCurr!0))))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[26, 25])).
% 7.56/5.17 tff(28,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl(((~v82(VarCurr)) <=> v191(VarCurr)) <=> ((~v82(VarCurr)) <=> v191(VarCurr)))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(29,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[28])).
% 7.56/5.17 tff(30,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(31,axiom,(![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_17')).
% 7.56/5.17 tff(32,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[31, 30])).
% 7.56/5.17 tff(33,plain,(
% 7.56/5.17 ![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 7.56/5.17 inference(skolemize,[status(sab)],[32])).
% 7.56/5.17 tff(34,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[33, 29])).
% 7.56/5.17 tff(35,plain,
% 7.56/5.17 ((~![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))) | ((~v82(VarCurr!0)) <=> v191(VarCurr!0))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(36,plain,
% 7.56/5.17 ((~v82(VarCurr!0)) <=> v191(VarCurr!0)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[35, 34])).
% 7.56/5.17 tff(37,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(38,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(39,axiom,(~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion')).
% 7.56/5.17 tff(40,plain,
% 7.56/5.17 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[39, 38])).
% 7.56/5.17 tff(41,plain,
% 7.56/5.17 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[40, 37])).
% 7.56/5.17 tff(42,plain,
% 7.56/5.17 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[41, 37])).
% 7.56/5.17 tff(43,plain,
% 7.56/5.17 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[42, 37])).
% 7.56/5.17 tff(44,plain,
% 7.56/5.17 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[43, 37])).
% 7.56/5.17 tff(45,plain,
% 7.56/5.17 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[44, 37])).
% 7.56/5.17 tff(46,plain,
% 7.56/5.17 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[45, 37])).
% 7.56/5.17 tff(47,plain,(
% 7.56/5.17 ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[46])).
% 7.56/5.17 tff(48,plain,
% 7.56/5.17 (~v82(VarCurr!0)),
% 7.56/5.17 inference(or_elim,[status(thm)],[47])).
% 7.56/5.17 tff(49,plain,
% 7.56/5.17 ((~((~v82(VarCurr!0)) <=> v191(VarCurr!0))) | v82(VarCurr!0) | v191(VarCurr!0)),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(50,plain,
% 7.56/5.17 ((~((~v82(VarCurr!0)) <=> v191(VarCurr!0))) | v191(VarCurr!0)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[49, 48])).
% 7.56/5.17 tff(51,plain,
% 7.56/5.17 (v191(VarCurr!0)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[50, 36])).
% 7.56/5.17 tff(52,plain,
% 7.56/5.17 ((~(v191(VarCurr!0) <=> (~((~v192(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~v191(VarCurr!0)) | (~((~v192(VarCurr!0)) | (~v157(VarCurr!0))))),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(53,plain,
% 7.56/5.17 ((~(v191(VarCurr!0) <=> (~((~v192(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~((~v192(VarCurr!0)) | (~v157(VarCurr!0))))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[52, 51])).
% 7.56/5.17 tff(54,plain,
% 7.56/5.17 (~((~v192(VarCurr!0)) | (~v157(VarCurr!0)))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[53, 27])).
% 7.56/5.17 tff(55,plain,
% 7.56/5.17 (((~v192(VarCurr!0)) | (~v157(VarCurr!0))) | v157(VarCurr!0)),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(56,plain,
% 7.56/5.17 (v157(VarCurr!0)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[55, 54])).
% 7.56/5.17 tff(57,plain,
% 7.56/5.17 ((~(v157(VarCurr!0) <=> v180(VarCurr!0))) | (~v157(VarCurr!0)) | v180(VarCurr!0)),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(58,plain,
% 7.56/5.17 ((~(v157(VarCurr!0) <=> v180(VarCurr!0))) | v180(VarCurr!0)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[57, 56])).
% 7.56/5.17 tff(59,plain,
% 7.56/5.17 (v180(VarCurr!0)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[58, 15])).
% 7.56/5.17 tff(60,plain,
% 7.56/5.17 (v180(constB199)),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[59, 3])).
% 7.56/5.17 tff(61,plain,
% 7.56/5.17 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(62,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[61])).
% 7.56/5.17 tff(63,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(64,plain,
% 7.56/5.17 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(65,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[64])).
% 7.56/5.17 tff(66,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11')).
% 7.56/5.17 tff(67,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[66, 65])).
% 7.56/5.17 tff(68,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[67, 63])).
% 7.56/5.17 tff(69,plain,(
% 7.56/5.17 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[68])).
% 7.56/5.17 tff(70,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[69, 62])).
% 7.56/5.17 tff(71,plain,
% 7.56/5.17 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(72,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_198')).
% 7.56/5.17 tff(73,plain,
% 7.56/5.17 (nextState(constB198, constB199)),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[72, 71])).
% 7.56/5.17 tff(74,plain,
% 7.56/5.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB198, constB199)) | (v180(constB199) <=> v178(constB198)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB198, constB199)) | (v180(constB199) <=> v178(constB198)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(75,plain,
% 7.56/5.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB198, constB199)) | (v180(constB199) <=> v178(constB198)))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(76,plain,
% 7.56/5.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB198, constB199)) | (v180(constB199) <=> v178(constB198))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[75, 74])).
% 7.56/5.17 tff(77,plain,
% 7.56/5.17 (v180(constB199) <=> v178(constB198)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[76, 73, 70])).
% 7.56/5.17 tff(78,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl((v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(79,plain,
% 7.56/5.17 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[78])).
% 7.56/5.17 tff(80,plain,
% 7.56/5.17 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(81,axiom,(![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_47')).
% 7.56/5.17 tff(82,plain,
% 7.56/5.17 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[81, 80])).
% 7.56/5.17 tff(83,plain,(
% 7.56/5.17 ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[82])).
% 7.56/5.17 tff(84,plain,
% 7.56/5.17 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[83, 79])).
% 7.56/5.17 tff(85,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB198) <=> (v181(constB198) | v185(constB198)))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(86,plain,
% 7.56/5.17 (v178(constB198) <=> (v181(constB198) | v185(constB198))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[85, 84])).
% 7.56/5.17 tff(87,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl((v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))) <=> (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(88,plain,
% 7.56/5.17 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[87])).
% 7.56/5.17 tff(89,plain,
% 7.56/5.17 (^[VarCurr: $i] : rewrite((v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(90,plain,
% 7.56/5.17 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[89])).
% 7.56/5.17 tff(91,plain,
% 7.56/5.17 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(92,axiom,(![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_46')).
% 7.56/5.17 tff(93,plain,
% 7.56/5.17 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[92, 91])).
% 7.56/5.17 tff(94,plain,(
% 7.56/5.17 ![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[93])).
% 7.56/5.17 tff(95,plain,
% 7.56/5.17 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[94, 90])).
% 7.56/5.17 tff(96,plain,
% 7.56/5.17 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[95, 88])).
% 7.56/5.17 tff(97,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB198) <=> (~((~v186(constB198)) | (~v187(constB198)))))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(98,plain,
% 7.56/5.17 (v185(constB198) <=> (~((~v186(constB198)) | (~v187(constB198))))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[97, 96])).
% 7.56/5.17 tff(99,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl((v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr))))) <=> (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(100,plain,
% 7.56/5.17 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr))))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[99])).
% 7.56/5.17 tff(101,plain,
% 7.56/5.17 (^[VarCurr: $i] : rewrite((v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr))) <=> (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(102,plain,
% 7.56/5.17 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[101])).
% 7.56/5.17 tff(103,plain,
% 7.56/5.17 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(104,axiom,(![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_45')).
% 7.56/5.17 tff(105,plain,
% 7.56/5.17 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[104, 103])).
% 7.56/5.17 tff(106,plain,(
% 7.56/5.17 ![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[105])).
% 7.56/5.17 tff(107,plain,
% 7.56/5.17 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[106, 102])).
% 7.56/5.17 tff(108,plain,
% 7.56/5.17 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[107, 100])).
% 7.56/5.17 tff(109,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB198) <=> (~((~v184(constB198)) | (~v159(constB198)))))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(110,plain,
% 7.56/5.17 (v187(constB198) <=> (~((~v184(constB198)) | (~v159(constB198))))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[109, 108])).
% 7.56/5.17 tff(111,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl((v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(112,plain,
% 7.56/5.17 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[111])).
% 7.56/5.17 tff(113,plain,
% 7.56/5.17 (^[VarCurr: $i] : rewrite((v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(114,plain,
% 7.56/5.17 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[113])).
% 7.56/5.17 tff(115,plain,
% 7.56/5.17 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(116,axiom,(![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_42')).
% 7.56/5.17 tff(117,plain,
% 7.56/5.17 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[116, 115])).
% 7.56/5.17 tff(118,plain,(
% 7.56/5.17 ![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[117])).
% 7.56/5.17 tff(119,plain,
% 7.56/5.17 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[118, 114])).
% 7.56/5.17 tff(120,plain,
% 7.56/5.17 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[119, 112])).
% 7.56/5.17 tff(121,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(122,plain,
% 7.56/5.17 (v184(constB198) <=> (~((~v39(constB198)) | (~v9(constB198))))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[121, 120])).
% 7.56/5.17 tff(123,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(124,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[123])).
% 7.56/5.17 tff(125,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(126,axiom,(![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 7.56/5.17 tff(127,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[126, 125])).
% 7.56/5.17 tff(128,plain,(
% 7.56/5.17 ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.56/5.17 inference(skolemize,[status(sab)],[127])).
% 7.56/5.17 tff(129,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[128, 124])).
% 7.56/5.17 tff(130,plain,
% 7.56/5.17 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB198)) <=> v1(constB198))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(131,plain,
% 7.56/5.17 ((~v39(constB198)) <=> v1(constB198)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[130, 129])).
% 7.56/5.17 tff(132,plain,
% 7.56/5.17 (v1(constB198) <=> v1(constB198)),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(133,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198')).
% 7.56/5.17 tff(134,plain,
% 7.56/5.17 (v1(constB198)),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[133, 132])).
% 7.56/5.17 tff(135,plain,
% 7.56/5.17 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198)) | (~v1(constB198))),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(136,plain,
% 7.56/5.17 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[135, 134])).
% 7.56/5.17 tff(137,plain,
% 7.56/5.17 (~v39(constB198)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[136, 131])).
% 7.56/5.17 tff(138,plain,
% 7.56/5.17 (((~v39(constB198)) | (~v9(constB198))) | v39(constB198)),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(139,plain,
% 7.56/5.17 ((~v39(constB198)) | (~v9(constB198))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[138, 137])).
% 7.56/5.17 tff(140,plain,
% 7.56/5.17 ((~(v184(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v184(constB198)) | (~((~v39(constB198)) | (~v9(constB198))))),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(141,plain,
% 7.56/5.17 ((~(v184(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v184(constB198))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[140, 139])).
% 7.56/5.17 tff(142,plain,
% 7.56/5.17 (~v184(constB198)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[141, 122])).
% 7.56/5.17 tff(143,plain,
% 7.56/5.17 (((~v184(constB198)) | (~v159(constB198))) | v184(constB198)),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(144,plain,
% 7.56/5.17 ((~v184(constB198)) | (~v159(constB198))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[143, 142])).
% 7.56/5.17 tff(145,plain,
% 7.56/5.17 ((~(v187(constB198) <=> (~((~v184(constB198)) | (~v159(constB198)))))) | (~v187(constB198)) | (~((~v184(constB198)) | (~v159(constB198))))),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(146,plain,
% 7.56/5.17 ((~(v187(constB198) <=> (~((~v184(constB198)) | (~v159(constB198)))))) | (~v187(constB198))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[145, 144])).
% 7.56/5.17 tff(147,plain,
% 7.56/5.17 (~v187(constB198)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[146, 110])).
% 7.56/5.17 tff(148,plain,
% 7.56/5.17 (((~v186(constB198)) | (~v187(constB198))) | v187(constB198)),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(149,plain,
% 7.56/5.17 ((~v186(constB198)) | (~v187(constB198))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[148, 147])).
% 7.56/5.17 tff(150,plain,
% 7.56/5.17 ((~(v185(constB198) <=> (~((~v186(constB198)) | (~v187(constB198)))))) | (~v185(constB198)) | (~((~v186(constB198)) | (~v187(constB198))))),
% 7.56/5.17 inference(tautology,[status(thm)],[])).
% 7.56/5.17 tff(151,plain,
% 7.56/5.17 (~v185(constB198)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[150, 149, 98])).
% 7.56/5.17 tff(152,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl((v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr))))) <=> (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(153,plain,
% 7.56/5.17 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[152])).
% 7.56/5.17 tff(154,plain,
% 7.56/5.17 (^[VarCurr: $i] : rewrite((v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr))) <=> (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr))))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(155,plain,
% 7.56/5.17 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[154])).
% 7.56/5.17 tff(156,plain,
% 7.56/5.17 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(157,axiom,(![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_44')).
% 7.56/5.17 tff(158,plain,
% 7.56/5.17 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[157, 156])).
% 7.56/5.17 tff(159,plain,(
% 7.56/5.17 ![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[158])).
% 7.56/5.17 tff(160,plain,
% 7.56/5.17 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[159, 155])).
% 7.56/5.17 tff(161,plain,
% 7.56/5.17 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[160, 153])).
% 7.56/5.17 tff(162,plain,
% 7.56/5.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198))))))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(163,plain,
% 7.56/5.17 ((v181(constB198) <=> (~((~v182(constB198)) | (~v157(constB198))))) <=> (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198)))))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(164,plain,
% 7.56/5.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v182(constB198)) | (~v157(constB198)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198))))))),
% 7.56/5.17 inference(monotonicity,[status(thm)],[163])).
% 7.56/5.17 tff(165,plain,
% 7.56/5.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v182(constB198)) | (~v157(constB198)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198))))))),
% 7.56/5.17 inference(transitivity,[status(thm)],[164, 162])).
% 7.56/5.17 tff(166,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v182(constB198)) | (~v157(constB198)))))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(167,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[166, 165])).
% 7.56/5.17 tff(168,plain,
% 7.56/5.17 (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198))))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[167, 161])).
% 7.56/5.17 tff(169,plain,
% 7.56/5.17 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB198) <=> v180(constB198))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(170,plain,
% 7.56/5.17 (v157(constB198) <=> v180(constB198)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[169, 13])).
% 7.56/5.17 tff(171,plain,
% 7.56/5.17 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(172,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_197')).
% 7.56/5.17 tff(173,plain,
% 7.56/5.17 (nextState(constB197, constB198)),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[172, 171])).
% 7.56/5.17 tff(174,plain,
% 7.56/5.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB197, constB198)) | (v180(constB198) <=> v178(constB197)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB197, constB198)) | (v180(constB198) <=> v178(constB197)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(175,plain,
% 7.56/5.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB197, constB198)) | (v180(constB198) <=> v178(constB197)))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(176,plain,
% 7.56/5.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB197, constB198)) | (v180(constB198) <=> v178(constB197))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[175, 174])).
% 7.56/5.17 tff(177,plain,
% 7.56/5.17 (v180(constB198) <=> v178(constB197)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[176, 173, 70])).
% 7.56/5.17 tff(178,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB197) <=> (v181(constB197) | v185(constB197)))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(179,plain,
% 7.56/5.17 (v178(constB197) <=> (v181(constB197) | v185(constB197))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[178, 84])).
% 7.56/5.17 tff(180,plain,
% 7.56/5.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197))))))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(181,plain,
% 7.56/5.17 ((v181(constB197) <=> (~((~v182(constB197)) | (~v157(constB197))))) <=> (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197)))))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(182,plain,
% 7.56/5.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v182(constB197)) | (~v157(constB197)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197))))))),
% 7.56/5.17 inference(monotonicity,[status(thm)],[181])).
% 7.56/5.17 tff(183,plain,
% 7.56/5.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v182(constB197)) | (~v157(constB197)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197))))))),
% 7.56/5.17 inference(transitivity,[status(thm)],[182, 180])).
% 7.56/5.17 tff(184,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v182(constB197)) | (~v157(constB197)))))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(185,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197)))))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[184, 183])).
% 7.56/5.17 tff(186,plain,
% 7.56/5.17 (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197))))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[185, 161])).
% 7.56/5.17 tff(187,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl(((~v182(VarCurr)) <=> v183(VarCurr)) <=> ((~v182(VarCurr)) <=> v183(VarCurr)))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(188,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr)) <=> ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[187])).
% 7.56/5.17 tff(189,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr)) <=> ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(190,axiom,(![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_14')).
% 7.56/5.17 tff(191,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[190, 189])).
% 7.56/5.17 tff(192,plain,(
% 7.56/5.17 ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 7.56/5.17 inference(skolemize,[status(sab)],[191])).
% 7.56/5.17 tff(193,plain,
% 7.56/5.17 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[192, 188])).
% 7.56/5.17 tff(194,plain,
% 7.56/5.17 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB197)) <=> v183(constB197))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(195,plain,
% 7.56/5.17 ((~v182(constB197)) <=> v183(constB197)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[194, 193])).
% 7.56/5.17 tff(196,plain,
% 7.56/5.17 (^[VarCurr: $i] : refl((v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(197,plain,
% 7.56/5.17 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[196])).
% 7.56/5.17 tff(198,plain,
% 7.56/5.17 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(199,axiom,(![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_43')).
% 7.56/5.17 tff(200,plain,
% 7.56/5.17 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[199, 198])).
% 7.56/5.17 tff(201,plain,(
% 7.56/5.17 ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[200])).
% 7.56/5.17 tff(202,plain,
% 7.56/5.17 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[201, 197])).
% 7.56/5.17 tff(203,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB197) <=> (v184(constB197) | v26(constB197)))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(204,plain,
% 7.56/5.17 (v183(constB197) <=> (v184(constB197) | v26(constB197))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[203, 202])).
% 7.56/5.17 tff(205,plain,
% 7.56/5.17 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB197) <=> (~((~v39(constB197)) | (~v9(constB197)))))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(206,plain,
% 7.56/5.17 (v184(constB197) <=> (~((~v39(constB197)) | (~v9(constB197))))),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[205, 120])).
% 7.56/5.17 tff(207,plain,
% 7.56/5.17 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(208,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[207])).
% 7.56/5.17 tff(209,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(210,plain,
% 7.56/5.17 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(211,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[210])).
% 7.56/5.17 tff(212,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment')).
% 7.56/5.17 tff(213,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[212, 211])).
% 7.56/5.17 tff(214,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[213, 209])).
% 7.56/5.17 tff(215,plain,(
% 7.56/5.17 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.56/5.17 inference(skolemize,[status(sab)],[214])).
% 7.56/5.17 tff(216,plain,
% 7.56/5.17 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[215, 208])).
% 7.56/5.17 tff(217,plain,
% 7.56/5.17 (((~![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)))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(218,plain,
% 7.56/5.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))),
% 7.56/5.17 inference(quant_inst,[status(thm)],[])).
% 7.56/5.17 tff(219,plain,
% 7.56/5.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[218, 217])).
% 7.56/5.17 tff(220,plain,
% 7.56/5.17 (v13(constB198) <=> v9(constB197)),
% 7.56/5.17 inference(unit_resolution,[status(thm)],[219, 173, 216])).
% 7.56/5.17 tff(221,plain,
% 7.56/5.17 (^[VarNext: $i] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(222,plain,
% 7.56/5.17 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[221])).
% 7.56/5.17 tff(223,plain,
% 7.56/5.17 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.56/5.17 inference(rewrite,[status(thm)],[])).
% 7.56/5.17 tff(224,plain,
% 7.56/5.17 (^[VarNext: $i] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 7.56/5.17 inference(bind,[status(th)],[])).
% 7.56/5.17 tff(225,plain,
% 7.56/5.17 (![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.56/5.17 inference(quant_intro,[status(thm)],[224])).
% 7.56/5.17 tff(226,axiom,(![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 7.56/5.17 tff(227,plain,
% 7.56/5.17 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.56/5.17 inference(modus_ponens,[status(thm)],[226, 225])).
% 7.56/5.17 tff(228,plain,
% 7.56/5.17 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[227, 223])).
% 7.56/5.18 tff(229,plain,(
% 7.56/5.18 ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.56/5.18 inference(skolemize,[status(sab)],[228])).
% 7.56/5.18 tff(230,plain,
% 7.56/5.18 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[229, 222])).
% 7.56/5.18 tff(231,plain,
% 7.56/5.18 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB198) <=> v13(constB198))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(232,plain,
% 7.56/5.18 (v6(constB198) <=> v13(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[231, 230])).
% 7.56/5.18 tff(233,plain,
% 7.56/5.18 (^[VarCurr: $i] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(234,plain,
% 7.56/5.18 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[233])).
% 7.56/5.18 tff(235,plain,
% 7.56/5.18 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(236,axiom,(![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 7.56/5.18 tff(237,plain,
% 7.56/5.18 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[236, 235])).
% 7.56/5.18 tff(238,plain,(
% 7.56/5.18 ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.56/5.18 inference(skolemize,[status(sab)],[237])).
% 7.56/5.18 tff(239,plain,
% 7.56/5.18 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[238, 234])).
% 7.56/5.18 tff(240,plain,
% 7.56/5.18 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB198)) <=> v6(constB198))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(241,plain,
% 7.56/5.18 ((~v21(constB198)) <=> v6(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[240, 239])).
% 7.56/5.18 tff(242,plain,
% 7.56/5.18 (^[VarCurr: $i] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(243,plain,
% 7.56/5.18 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[242])).
% 7.56/5.18 tff(244,plain,
% 7.56/5.18 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(245,axiom,(![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits')).
% 7.56/5.18 tff(246,plain,
% 7.56/5.18 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[245, 244])).
% 7.56/5.18 tff(247,plain,(
% 7.56/5.18 ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.56/5.18 inference(skolemize,[status(sab)],[246])).
% 7.56/5.18 tff(248,plain,
% 7.56/5.18 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[247, 243])).
% 7.56/5.18 tff(249,plain,
% 7.56/5.18 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB198) <=> (v20(constB198) | v21(constB198)))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(250,plain,
% 7.56/5.18 (v19(constB198) <=> (v20(constB198) | v21(constB198))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[249, 248])).
% 7.56/5.18 tff(251,plain,
% 7.56/5.18 (^[VarCurr: $i] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(252,plain,
% 7.56/5.18 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[251])).
% 7.56/5.18 tff(253,plain,
% 7.56/5.18 (^[VarCurr: $i] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(254,plain,
% 7.56/5.18 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[253])).
% 7.56/5.18 tff(255,plain,
% 7.56/5.18 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(256,axiom,(![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_2')).
% 7.56/5.18 tff(257,plain,
% 7.56/5.18 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[256, 255])).
% 7.56/5.18 tff(258,plain,(
% 7.56/5.18 ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.56/5.18 inference(skolemize,[status(sab)],[257])).
% 7.56/5.18 tff(259,plain,
% 7.56/5.18 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[258, 254])).
% 7.56/5.18 tff(260,plain,
% 7.56/5.18 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[259, 252])).
% 7.56/5.18 tff(261,plain,
% 7.56/5.18 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198)))))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(262,plain,
% 7.56/5.18 (v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198))))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[261, 260])).
% 7.56/5.18 tff(263,plain,
% 7.56/5.18 (^[VarCurr: $i] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(264,plain,
% 7.56/5.18 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[263])).
% 7.56/5.18 tff(265,plain,
% 7.56/5.18 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(266,axiom,(![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 7.56/5.18 tff(267,plain,
% 7.56/5.18 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[266, 265])).
% 7.56/5.18 tff(268,plain,(
% 7.56/5.18 ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.56/5.18 inference(skolemize,[status(sab)],[267])).
% 7.56/5.18 tff(269,plain,
% 7.56/5.18 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[268, 264])).
% 7.56/5.18 tff(270,plain,
% 7.56/5.18 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB198)) <=> v18(constB198))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(271,plain,
% 7.56/5.18 ((~v4(constB198)) <=> v18(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[270, 269])).
% 7.56/5.18 tff(272,plain,
% 7.56/5.18 (^[VarCurr: $i] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(273,plain,
% 7.56/5.18 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 7.56/5.18 inference(quant_intro,[status(thm)],[272])).
% 7.56/5.18 tff(274,plain,
% 7.56/5.18 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(275,axiom,(![VarCurr: $i] : v4(VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption')).
% 7.56/5.18 tff(276,plain,
% 7.56/5.18 (![VarCurr: $i] : v4(VarCurr)),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[275, 274])).
% 7.56/5.18 tff(277,plain,(
% 7.56/5.18 ![VarCurr: $i] : v4(VarCurr)),
% 7.56/5.18 inference(skolemize,[status(sab)],[276])).
% 7.56/5.18 tff(278,plain,
% 7.56/5.18 (![VarCurr: $i] : v4(VarCurr)),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[277, 273])).
% 7.56/5.18 tff(279,plain,
% 7.56/5.18 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB198)),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(280,plain,
% 7.56/5.18 (v4(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[279, 278])).
% 7.56/5.18 tff(281,plain,
% 7.56/5.18 ((~((~v4(constB198)) <=> v18(constB198))) | (~v4(constB198)) | (~v18(constB198))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(282,plain,
% 7.56/5.18 (~v18(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[281, 280, 271])).
% 7.56/5.18 tff(283,plain,
% 7.56/5.18 ((~(v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198)))))) | v18(constB198) | ((~v19(constB198)) | (~v22(constB198)))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(284,plain,
% 7.56/5.18 ((~v19(constB198)) | (~v22(constB198))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[283, 282, 262])).
% 7.56/5.18 tff(285,plain,
% 7.56/5.18 (^[VarCurr: $i] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(286,plain,
% 7.56/5.18 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[285])).
% 7.56/5.18 tff(287,plain,
% 7.56/5.18 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(288,axiom,(![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_1')).
% 7.56/5.18 tff(289,plain,
% 7.56/5.18 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[288, 287])).
% 7.56/5.18 tff(290,plain,(
% 7.56/5.18 ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.56/5.18 inference(skolemize,[status(sab)],[289])).
% 7.56/5.18 tff(291,plain,
% 7.56/5.18 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[290, 286])).
% 7.56/5.18 tff(292,plain,
% 7.56/5.18 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB198) <=> (v1(constB198) | v6(constB198)))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(293,plain,
% 7.56/5.18 (v22(constB198) <=> (v1(constB198) | v6(constB198))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[292, 291])).
% 7.56/5.18 tff(294,plain,
% 7.56/5.18 ((v1(constB198) | v6(constB198)) | (~v1(constB198))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(295,plain,
% 7.56/5.18 (v1(constB198) | v6(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[294, 134])).
% 7.56/5.18 tff(296,plain,
% 7.56/5.18 ((~(v22(constB198) <=> (v1(constB198) | v6(constB198)))) | v22(constB198) | (~(v1(constB198) | v6(constB198)))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(297,plain,
% 7.56/5.18 ((~(v22(constB198) <=> (v1(constB198) | v6(constB198)))) | v22(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[296, 295])).
% 7.56/5.18 tff(298,plain,
% 7.56/5.18 (v22(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[297, 293])).
% 7.56/5.18 tff(299,plain,
% 7.56/5.18 ((~((~v19(constB198)) | (~v22(constB198)))) | (~v19(constB198)) | (~v22(constB198))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(300,plain,
% 7.56/5.18 ((~((~v19(constB198)) | (~v22(constB198)))) | (~v19(constB198))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[299, 298])).
% 7.56/5.18 tff(301,plain,
% 7.56/5.18 (~v19(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[300, 284])).
% 7.56/5.18 tff(302,plain,
% 7.56/5.18 ((~(v19(constB198) <=> (v20(constB198) | v21(constB198)))) | v19(constB198) | (~(v20(constB198) | v21(constB198)))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(303,plain,
% 7.56/5.18 (~(v20(constB198) | v21(constB198))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[302, 301, 250])).
% 7.56/5.18 tff(304,plain,
% 7.56/5.18 ((v20(constB198) | v21(constB198)) | (~v21(constB198))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(305,plain,
% 7.56/5.18 (~v21(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[304, 303])).
% 7.56/5.18 tff(306,plain,
% 7.56/5.18 ((~((~v21(constB198)) <=> v6(constB198))) | v21(constB198) | v6(constB198)),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(307,plain,
% 7.56/5.18 (v6(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[306, 305, 241])).
% 7.56/5.18 tff(308,plain,
% 7.56/5.18 ((~(v6(constB198) <=> v13(constB198))) | (~v6(constB198)) | v13(constB198)),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(309,plain,
% 7.56/5.18 (v13(constB198)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[308, 307, 232])).
% 7.56/5.18 tff(310,plain,
% 7.56/5.18 ((~(v13(constB198) <=> v9(constB197))) | (~v13(constB198)) | v9(constB197)),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(311,plain,
% 7.56/5.18 (v9(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[310, 309, 220])).
% 7.56/5.18 tff(312,plain,
% 7.56/5.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB197)) <=> v1(constB197))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(313,plain,
% 7.56/5.18 ((~v39(constB197)) <=> v1(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[312, 129])).
% 7.56/5.18 tff(314,plain,
% 7.56/5.18 ((~v1(constB197)) <=> (~v1(constB197))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(315,axiom,(~v1(constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_197')).
% 7.56/5.18 tff(316,plain,
% 7.56/5.18 (~v1(constB197)),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[315, 314])).
% 7.56/5.18 tff(317,plain,
% 7.56/5.18 ((~((~v39(constB197)) <=> v1(constB197))) | v39(constB197) | v1(constB197)),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(318,plain,
% 7.56/5.18 ((~((~v39(constB197)) <=> v1(constB197))) | v39(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[317, 316])).
% 7.56/5.18 tff(319,plain,
% 7.56/5.18 (v39(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[318, 313])).
% 7.56/5.18 tff(320,plain,
% 7.56/5.18 ((~((~v39(constB197)) | (~v9(constB197)))) | (~v39(constB197)) | (~v9(constB197))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(321,plain,
% 7.56/5.18 ((~((~v39(constB197)) | (~v9(constB197)))) | (~v9(constB197))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[320, 319])).
% 7.56/5.18 tff(322,plain,
% 7.56/5.18 (~((~v39(constB197)) | (~v9(constB197)))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[321, 311])).
% 7.56/5.18 tff(323,plain,
% 7.56/5.18 ((~(v184(constB197) <=> (~((~v39(constB197)) | (~v9(constB197)))))) | v184(constB197) | ((~v39(constB197)) | (~v9(constB197)))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(324,plain,
% 7.56/5.18 (v184(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[323, 322, 206])).
% 7.56/5.18 tff(325,plain,
% 7.56/5.18 ((v184(constB197) | v26(constB197)) | (~v184(constB197))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(326,plain,
% 7.56/5.18 (v184(constB197) | v26(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[325, 324])).
% 7.56/5.18 tff(327,plain,
% 7.56/5.18 ((~(v183(constB197) <=> (v184(constB197) | v26(constB197)))) | v183(constB197) | (~(v184(constB197) | v26(constB197)))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(328,plain,
% 7.56/5.18 (v183(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[327, 326, 204])).
% 7.56/5.18 tff(329,plain,
% 7.56/5.18 ((~((~v182(constB197)) <=> v183(constB197))) | (~v182(constB197)) | (~v183(constB197))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(330,plain,
% 7.56/5.18 (~v182(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[329, 328, 195])).
% 7.56/5.18 tff(331,plain,
% 7.56/5.18 (((~v157(constB197)) | (~v182(constB197))) | v182(constB197)),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(332,plain,
% 7.56/5.18 ((~v157(constB197)) | (~v182(constB197))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[331, 330])).
% 7.56/5.18 tff(333,plain,
% 7.56/5.18 ((~(v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197)))))) | (~v181(constB197)) | (~((~v157(constB197)) | (~v182(constB197))))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(334,plain,
% 7.56/5.18 (~v181(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[333, 332, 186])).
% 7.56/5.18 tff(335,plain,
% 7.56/5.18 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB197) <=> (~((~v186(constB197)) | (~v187(constB197)))))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(336,plain,
% 7.56/5.18 (v185(constB197) <=> (~((~v186(constB197)) | (~v187(constB197))))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[335, 96])).
% 7.56/5.18 tff(337,plain,
% 7.56/5.18 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB197) <=> (~((~v184(constB197)) | (~v159(constB197)))))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(338,plain,
% 7.56/5.18 (v187(constB197) <=> (~((~v184(constB197)) | (~v159(constB197))))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[337, 108])).
% 7.56/5.18 tff(339,plain,
% 7.56/5.18 (^[VarCurr: $i] : refl((v159(VarCurr) <=> v161(VarCurr)) <=> (v159(VarCurr) <=> v161(VarCurr)))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(340,plain,
% 7.56/5.18 (![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr)) <=> ![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[339])).
% 7.56/5.18 tff(341,plain,
% 7.56/5.18 (![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr)) <=> ![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(342,axiom,(![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_10')).
% 7.56/5.18 tff(343,plain,
% 7.56/5.18 (![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[342, 341])).
% 7.56/5.18 tff(344,plain,(
% 7.56/5.18 ![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 7.56/5.18 inference(skolemize,[status(sab)],[343])).
% 7.56/5.18 tff(345,plain,
% 7.56/5.18 (![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[344, 340])).
% 7.56/5.18 tff(346,plain,
% 7.56/5.18 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB197) <=> v161(constB197))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(347,plain,
% 7.56/5.18 (v159(constB197) <=> v161(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[346, 345])).
% 7.56/5.18 tff(348,plain,
% 7.56/5.18 (^[VarCurr: $i] : refl((v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)))) <=> (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(349,plain,
% 7.56/5.18 (![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)))) <=> ![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[348])).
% 7.56/5.18 tff(350,plain,
% 7.56/5.18 (^[VarCurr: $i] : rewrite((v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(351,plain,
% 7.56/5.18 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[350])).
% 7.56/5.18 tff(352,plain,
% 7.56/5.18 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(353,plain,
% 7.56/5.18 (^[VarCurr: $i] : rewrite((v139(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(354,plain,
% 7.56/5.18 (![VarCurr: $i] : (v139(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[353])).
% 7.56/5.18 tff(355,axiom,(![VarCurr: $i] : (v139(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9')).
% 7.56/5.18 tff(356,plain,
% 7.56/5.18 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[355, 354])).
% 7.56/5.18 tff(357,plain,
% 7.56/5.18 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[356, 352])).
% 7.56/5.18 tff(358,plain,(
% 7.56/5.18 ![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.56/5.18 inference(skolemize,[status(sab)],[357])).
% 7.56/5.18 tff(359,plain,
% 7.56/5.18 (![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[358, 351])).
% 7.56/5.18 tff(360,plain,
% 7.56/5.18 (![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[359, 349])).
% 7.56/5.18 tff(361,plain,
% 7.56/5.18 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2))))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(362,plain,
% 7.56/5.18 (v139(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2)))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[361, 360])).
% 7.56/5.18 tff(363,plain,
% 7.56/5.18 (^[VarCurr: $i, B: $i] : refl(((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(364,plain,
% 7.56/5.18 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[363])).
% 7.56/5.18 tff(365,plain,
% 7.56/5.18 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(366,plain,
% 7.56/5.18 (^[VarCurr: $i, B: $i] : rewrite((less_3(B) => (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(367,plain,
% 7.56/5.18 (![VarCurr: $i, B: $i] : (less_3(B) => (v88(VarCurr, B) <=> v90(VarCurr, B))) <=> ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[366])).
% 7.56/5.18 tff(368,axiom,(![VarCurr: $i, B: $i] : (less_3(B) => (v88(VarCurr, B) <=> v90(VarCurr, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8')).
% 7.56/5.18 tff(369,plain,
% 7.56/5.18 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[368, 367])).
% 7.56/5.18 tff(370,plain,
% 7.56/5.18 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[369, 365])).
% 7.56/5.18 tff(371,plain,(
% 7.56/5.18 ![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 7.56/5.18 inference(skolemize,[status(sab)],[370])).
% 7.56/5.18 tff(372,plain,
% 7.56/5.18 (![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[371, 364])).
% 7.56/5.18 tff(373,plain,
% 7.56/5.18 (less_3(bitIndex1) <=> less_3(bitIndex1)),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(374,axiom,(less_3(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_4')).
% 7.56/5.18 tff(375,plain,
% 7.56/5.18 (less_3(bitIndex1)),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[374, 373])).
% 7.56/5.18 tff(376,plain,
% 7.56/5.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB197, bitIndex1) <=> v90(constB197, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB197, bitIndex1) <=> v90(constB197, bitIndex1)))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(377,plain,
% 7.56/5.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB197, bitIndex1) <=> v90(constB197, bitIndex1)))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(378,plain,
% 7.56/5.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB197, bitIndex1) <=> v90(constB197, bitIndex1))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[377, 376])).
% 7.56/5.18 tff(379,plain,
% 7.56/5.18 (v88(constB197, bitIndex1) <=> v90(constB197, bitIndex1)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[378, 375, 372])).
% 7.56/5.18 tff(380,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(381,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[380])).
% 7.56/5.18 tff(382,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(383,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[382])).
% 7.56/5.18 tff(384,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(385,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(386,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[385])).
% 7.56/5.18 tff(387,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_27')).
% 7.56/5.18 tff(388,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[387, 386])).
% 7.56/5.18 tff(389,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[388, 384])).
% 7.56/5.18 tff(390,plain,(
% 7.56/5.18 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 7.56/5.18 inference(skolemize,[status(sab)],[389])).
% 7.56/5.18 tff(391,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[390, 383])).
% 7.56/5.18 tff(392,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[391, 381])).
% 7.56/5.18 tff(393,plain,
% 7.56/5.18 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(394,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196')).
% 7.56/5.18 tff(395,plain,
% 7.56/5.18 (nextState(constB196, constB197)),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[394, 393])).
% 7.56/5.18 tff(396,plain,
% 7.56/5.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(397,plain,
% 7.56/5.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(398,plain,
% 7.56/5.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[397, 396])).
% 7.56/5.18 tff(399,plain,
% 7.56/5.18 (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[398, 395, 392])).
% 7.56/5.18 tff(400,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(401,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[400])).
% 7.56/5.18 tff(402,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(403,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[402])).
% 7.56/5.18 tff(404,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(405,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(406,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[405])).
% 7.56/5.18 tff(407,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_18')).
% 7.56/5.18 tff(408,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[407, 406])).
% 7.56/5.18 tff(409,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[408, 404])).
% 7.56/5.18 tff(410,plain,(
% 7.56/5.18 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 7.56/5.18 inference(skolemize,[status(sab)],[409])).
% 7.56/5.18 tff(411,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[410, 403])).
% 7.56/5.18 tff(412,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[411, 401])).
% 7.56/5.18 tff(413,plain,
% 7.56/5.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(414,plain,
% 7.56/5.18 (((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197)))))) <=> ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(415,plain,
% 7.56/5.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))))),
% 7.56/5.18 inference(monotonicity,[status(thm)],[414])).
% 7.56/5.18 tff(416,plain,
% 7.56/5.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 7.56/5.18 inference(transitivity,[status(thm)],[415, 413])).
% 7.56/5.18 tff(417,plain,
% 7.56/5.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(418,plain,
% 7.56/5.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[417, 416])).
% 7.56/5.18 tff(419,plain,
% 7.56/5.18 (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[418, 395, 412])).
% 7.56/5.18 tff(420,plain,
% 7.56/5.18 (((~v1(constB197)) | (~v102(constB197))) | v1(constB197)),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(421,plain,
% 7.56/5.18 ((~v1(constB197)) | (~v102(constB197))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[420, 316])).
% 7.56/5.18 tff(422,plain,
% 7.56/5.18 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197)) | (~((~v1(constB197)) | (~v102(constB197))))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(423,plain,
% 7.56/5.18 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[422, 421])).
% 7.56/5.18 tff(424,plain,
% 7.56/5.18 (~v101(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[423, 419])).
% 7.56/5.18 tff(425,plain,
% 7.56/5.18 (((~v101(constB197)) | (~v110(constB197))) | v101(constB197)),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(426,plain,
% 7.56/5.18 ((~v101(constB197)) | (~v110(constB197))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[425, 424])).
% 7.56/5.18 tff(427,plain,
% 7.56/5.18 ((~(v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))) | (~v100(constB197)) | (~((~v101(constB197)) | (~v110(constB197))))),
% 7.56/5.18 inference(tautology,[status(thm)],[])).
% 7.56/5.18 tff(428,plain,
% 7.56/5.18 (~v100(constB197)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[427, 426, 399])).
% 7.56/5.18 tff(429,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : refl((v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(430,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[429])).
% 7.56/5.18 tff(431,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : rewrite((v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(432,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[431])).
% 7.56/5.18 tff(433,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(transitivity,[status(thm)],[432, 430])).
% 7.56/5.18 tff(434,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(435,plain,
% 7.56/5.18 (^[VarCurr: $i, VarNext: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))) <=> ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))), (![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))), (((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> ((~v100(VarNext)) => ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))))), rewrite(((~v100(VarNext)) => ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> (v100(VarNext) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))), (((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B)))) <=> (v100(VarNext) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B)))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))))) <=> (nextState(VarCurr, VarNext) => (v100(VarNext) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))))), rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))))),
% 7.56/5.18 inference(bind,[status(th)],[])).
% 7.56/5.18 tff(436,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B))))) <=> ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(quant_intro,[status(thm)],[435])).
% 7.56/5.18 tff(437,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v90(VarCurr, B)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1')).
% 7.56/5.18 tff(438,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[437, 436])).
% 7.56/5.18 tff(439,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[438, 434])).
% 7.56/5.18 tff(440,plain,(
% 7.56/5.18 ![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(skolemize,[status(sab)],[439])).
% 7.56/5.18 tff(441,plain,
% 7.56/5.18 (![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[440, 433])).
% 7.56/5.18 tff(442,plain,
% 7.56/5.18 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB197) | (~nextState(constB196, constB197)) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB197) | (~nextState(constB196, constB197)) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(443,plain,
% 7.56/5.18 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB197) | (~nextState(constB196, constB197)) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B))))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(444,plain,
% 7.56/5.18 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB197) | (~nextState(constB196, constB197)) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[443, 442])).
% 7.56/5.18 tff(445,plain,
% 7.56/5.18 (v100(constB197) | ![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[444, 395, 441])).
% 7.56/5.18 tff(446,plain,
% 7.56/5.18 (![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[445, 428])).
% 7.56/5.18 tff(447,plain,
% 7.56/5.18 (((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex1)) | (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex1)) | (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1)))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(448,plain,
% 7.56/5.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex1)) | (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1)))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(449,plain,
% 7.56/5.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex1)) | (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1))),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[448, 447])).
% 7.56/5.18 tff(450,plain,
% 7.56/5.18 (v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1)),
% 7.56/5.18 inference(unit_resolution,[status(thm)],[449, 375, 446])).
% 7.56/5.18 tff(451,plain,
% 7.56/5.18 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(452,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195')).
% 7.56/5.18 tff(453,plain,
% 7.56/5.18 (nextState(constB195, constB196)),
% 7.56/5.18 inference(modus_ponens,[status(thm)],[452, 451])).
% 7.56/5.18 tff(454,plain,
% 7.56/5.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 7.56/5.18 inference(rewrite,[status(thm)],[])).
% 7.56/5.18 tff(455,plain,
% 7.56/5.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 7.56/5.18 inference(quant_inst,[status(thm)],[])).
% 7.56/5.18 tff(456,plain,
% 7.56/5.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[455, 454])).
% 7.56/5.19 tff(457,plain,
% 7.56/5.19 (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[456, 453, 392])).
% 7.56/5.19 tff(458,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(459,plain,
% 7.56/5.19 (((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196)))))) <=> ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(460,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))))),
% 7.56/5.19 inference(monotonicity,[status(thm)],[459])).
% 7.56/5.19 tff(461,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 7.56/5.19 inference(transitivity,[status(thm)],[460, 458])).
% 7.56/5.19 tff(462,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(463,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[462, 461])).
% 7.56/5.19 tff(464,plain,
% 7.56/5.19 (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[463, 453, 412])).
% 7.56/5.19 tff(465,plain,
% 7.56/5.19 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(466,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[465])).
% 7.56/5.19 tff(467,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(468,plain,
% 7.56/5.19 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(469,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[468])).
% 7.56/5.19 tff(470,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 7.56/5.19 tff(471,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[470, 469])).
% 7.56/5.19 tff(472,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[471, 467])).
% 7.56/5.19 tff(473,plain,(
% 7.56/5.19 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[472])).
% 7.56/5.19 tff(474,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[473, 466])).
% 7.56/5.19 tff(475,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(476,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(477,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[476, 475])).
% 7.56/5.19 tff(478,plain,
% 7.56/5.19 ((~v102(constB196)) <=> v104(constB196)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[477, 453, 474])).
% 7.56/5.19 tff(479,plain,
% 7.56/5.19 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(480,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[479])).
% 7.56/5.19 tff(481,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(482,plain,
% 7.56/5.19 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(483,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[482])).
% 7.56/5.19 tff(484,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5')).
% 7.56/5.19 tff(485,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[484, 483])).
% 7.56/5.19 tff(486,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[485, 481])).
% 7.56/5.19 tff(487,plain,(
% 7.56/5.19 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[486])).
% 7.56/5.19 tff(488,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[487, 480])).
% 7.56/5.19 tff(489,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(490,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(491,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[490, 489])).
% 7.56/5.19 tff(492,plain,
% 7.56/5.19 (v104(constB196) <=> v1(constB195)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[491, 453, 488])).
% 7.56/5.19 tff(493,plain,
% 7.56/5.19 ((~v1(constB195)) <=> (~v1(constB195))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(494,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195')).
% 7.56/5.19 tff(495,plain,
% 7.56/5.19 (~v1(constB195)),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[494, 493])).
% 7.56/5.19 tff(496,plain,
% 7.56/5.19 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196)) | v1(constB195)),
% 7.56/5.19 inference(tautology,[status(thm)],[])).
% 7.56/5.19 tff(497,plain,
% 7.56/5.19 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[496, 495])).
% 7.56/5.19 tff(498,plain,
% 7.56/5.19 (~v104(constB196)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[497, 492])).
% 7.56/5.19 tff(499,plain,
% 7.56/5.19 ((~((~v102(constB196)) <=> v104(constB196))) | v102(constB196) | v104(constB196)),
% 7.56/5.19 inference(tautology,[status(thm)],[])).
% 7.56/5.19 tff(500,plain,
% 7.56/5.19 (v102(constB196)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[499, 498, 478])).
% 7.56/5.19 tff(501,plain,
% 7.56/5.19 (v1(constB196) <=> v1(constB196)),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(502,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196')).
% 7.56/5.19 tff(503,plain,
% 7.56/5.19 (v1(constB196)),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[502, 501])).
% 7.56/5.19 tff(504,plain,
% 7.56/5.19 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v1(constB196)) | (~v102(constB196))),
% 7.56/5.19 inference(tautology,[status(thm)],[])).
% 7.56/5.19 tff(505,plain,
% 7.56/5.19 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v102(constB196))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[504, 503])).
% 7.56/5.19 tff(506,plain,
% 7.56/5.19 (~((~v1(constB196)) | (~v102(constB196)))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[505, 500])).
% 7.56/5.19 tff(507,plain,
% 7.56/5.19 ((~(v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))) | v101(constB196) | ((~v1(constB196)) | (~v102(constB196)))),
% 7.56/5.19 inference(tautology,[status(thm)],[])).
% 7.56/5.19 tff(508,plain,
% 7.56/5.19 (v101(constB196)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[507, 506, 464])).
% 7.56/5.19 tff(509,plain,
% 7.56/5.19 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(510,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[509])).
% 7.56/5.19 tff(511,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(512,plain,
% 7.56/5.19 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(513,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[512])).
% 7.56/5.19 tff(514,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6')).
% 7.56/5.19 tff(515,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[514, 513])).
% 7.56/5.19 tff(516,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[515, 511])).
% 7.56/5.19 tff(517,plain,(
% 7.56/5.19 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[516])).
% 7.56/5.19 tff(518,plain,
% 7.56/5.19 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[517, 510])).
% 7.56/5.19 tff(519,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(520,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(521,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[520, 519])).
% 7.56/5.19 tff(522,plain,
% 7.56/5.19 (v110(constB196) <=> v108(constB195)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[521, 453, 518])).
% 7.56/5.19 tff(523,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(524,plain,
% 7.56/5.19 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[523])).
% 7.56/5.19 tff(525,plain,
% 7.56/5.19 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(526,axiom,(![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_26')).
% 7.56/5.19 tff(527,plain,
% 7.56/5.19 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[526, 525])).
% 7.56/5.19 tff(528,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[527])).
% 7.56/5.19 tff(529,plain,
% 7.56/5.19 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[528, 524])).
% 7.56/5.19 tff(530,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB195) <=> (v111(constB195) | v112(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(531,plain,
% 7.56/5.19 (v108(constB195) <=> (v111(constB195) | v112(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[530, 529])).
% 7.56/5.19 tff(532,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(533,plain,
% 7.56/5.19 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[532])).
% 7.56/5.19 tff(534,plain,
% 7.56/5.19 (^[VarCurr: $i] : rewrite((v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(535,plain,
% 7.56/5.19 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[534])).
% 7.56/5.19 tff(536,plain,
% 7.56/5.19 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(537,axiom,(![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_25')).
% 7.56/5.19 tff(538,plain,
% 7.56/5.19 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[537, 536])).
% 7.56/5.19 tff(539,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[538])).
% 7.56/5.19 tff(540,plain,
% 7.56/5.19 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[539, 535])).
% 7.56/5.19 tff(541,plain,
% 7.56/5.19 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[540, 533])).
% 7.56/5.19 tff(542,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(543,plain,
% 7.56/5.19 (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195))))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[542, 541])).
% 7.56/5.19 tff(544,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(545,plain,
% 7.56/5.19 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[544])).
% 7.56/5.19 tff(546,plain,
% 7.56/5.19 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(547,axiom,(![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_24')).
% 7.56/5.19 tff(548,plain,
% 7.56/5.19 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[547, 546])).
% 7.56/5.19 tff(549,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[548])).
% 7.56/5.19 tff(550,plain,
% 7.56/5.19 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[549, 545])).
% 7.56/5.19 tff(551,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB195) <=> (v114(constB195) | v125(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(552,plain,
% 7.56/5.19 (v113(constB195) <=> (v114(constB195) | v125(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[551, 550])).
% 7.56/5.19 tff(553,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(554,plain,
% 7.56/5.19 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[553])).
% 7.56/5.19 tff(555,plain,
% 7.56/5.19 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(556,axiom,(![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_23')).
% 7.56/5.19 tff(557,plain,
% 7.56/5.19 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[556, 555])).
% 7.56/5.19 tff(558,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[557])).
% 7.56/5.19 tff(559,plain,
% 7.56/5.19 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[558, 554])).
% 7.56/5.19 tff(560,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB195) <=> (v115(constB195) | v124(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(561,plain,
% 7.56/5.19 (v114(constB195) <=> (v115(constB195) | v124(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[560, 559])).
% 7.56/5.19 tff(562,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(563,plain,
% 7.56/5.19 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[562])).
% 7.56/5.19 tff(564,plain,
% 7.56/5.19 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(565,axiom,(![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_22')).
% 7.56/5.19 tff(566,plain,
% 7.56/5.19 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[565, 564])).
% 7.56/5.19 tff(567,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[566])).
% 7.56/5.19 tff(568,plain,
% 7.56/5.19 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[567, 563])).
% 7.56/5.19 tff(569,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB195) <=> (v116(constB195) | v123(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(570,plain,
% 7.56/5.19 (v115(constB195) <=> (v116(constB195) | v123(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[569, 568])).
% 7.56/5.19 tff(571,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(572,plain,
% 7.56/5.19 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[571])).
% 7.56/5.19 tff(573,plain,
% 7.56/5.19 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(574,axiom,(![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_21')).
% 7.56/5.19 tff(575,plain,
% 7.56/5.19 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[574, 573])).
% 7.56/5.19 tff(576,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[575])).
% 7.56/5.19 tff(577,plain,
% 7.56/5.19 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[576, 572])).
% 7.56/5.19 tff(578,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB195) <=> (v117(constB195) | v122(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(579,plain,
% 7.56/5.19 (v116(constB195) <=> (v117(constB195) | v122(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[578, 577])).
% 7.56/5.19 tff(580,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(581,plain,
% 7.56/5.19 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[580])).
% 7.56/5.19 tff(582,plain,
% 7.56/5.19 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(583,axiom,(![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_20')).
% 7.56/5.19 tff(584,plain,
% 7.56/5.19 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[583, 582])).
% 7.56/5.19 tff(585,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[584])).
% 7.56/5.19 tff(586,plain,
% 7.56/5.19 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[585, 581])).
% 7.56/5.19 tff(587,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB195) <=> (v118(constB195) | v121(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(588,plain,
% 7.56/5.19 (v117(constB195) <=> (v118(constB195) | v121(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[587, 586])).
% 7.56/5.19 tff(589,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(590,plain,
% 7.56/5.19 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[589])).
% 7.56/5.19 tff(591,plain,
% 7.56/5.19 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(592,axiom,(![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_19')).
% 7.56/5.19 tff(593,plain,
% 7.56/5.19 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[592, 591])).
% 7.56/5.19 tff(594,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[593])).
% 7.56/5.19 tff(595,plain,
% 7.56/5.19 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[594, 590])).
% 7.56/5.19 tff(596,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB195) <=> (v119(constB195) | v120(constB195)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(597,plain,
% 7.56/5.19 (v118(constB195) <=> (v119(constB195) | v120(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[596, 595])).
% 7.56/5.19 tff(598,plain,
% 7.56/5.19 (^[VarCurr: $i] : refl((v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(599,plain,
% 7.56/5.19 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[598])).
% 7.56/5.19 tff(600,plain,
% 7.56/5.19 (^[VarCurr: $i] : rewrite((v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(601,plain,
% 7.56/5.19 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[600])).
% 7.56/5.19 tff(602,plain,
% 7.56/5.19 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(603,plain,
% 7.56/5.19 (^[VarCurr: $i] : rewrite((v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))))),
% 7.56/5.19 inference(bind,[status(th)],[])).
% 7.56/5.19 tff(604,plain,
% 7.56/5.19 (![VarCurr: $i] : (v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.19 inference(quant_intro,[status(thm)],[603])).
% 7.56/5.19 tff(605,axiom,(![VarCurr: $i] : (v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3')).
% 7.56/5.19 tff(606,plain,
% 7.56/5.19 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[605, 604])).
% 7.56/5.19 tff(607,plain,
% 7.56/5.19 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[606, 602])).
% 7.56/5.19 tff(608,plain,(
% 7.56/5.19 ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.19 inference(skolemize,[status(sab)],[607])).
% 7.56/5.19 tff(609,plain,
% 7.56/5.19 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[608, 601])).
% 7.56/5.19 tff(610,plain,
% 7.56/5.19 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[609, 599])).
% 7.56/5.19 tff(611,plain,
% 7.56/5.19 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(612,plain,
% 7.56/5.19 ((v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0))))) <=> (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(613,plain,
% 7.56/5.19 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 7.56/5.19 inference(monotonicity,[status(thm)],[612])).
% 7.56/5.19 tff(614,plain,
% 7.56/5.19 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))))),
% 7.56/5.19 inference(transitivity,[status(thm)],[613, 611])).
% 7.56/5.19 tff(615,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(616,plain,
% 7.56/5.19 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[615, 614])).
% 7.56/5.19 tff(617,plain,
% 7.56/5.19 (v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[616, 610])).
% 7.56/5.19 tff(618,plain,
% 7.56/5.19 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(619,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194')).
% 7.56/5.19 tff(620,plain,
% 7.56/5.19 (nextState(constB194, constB195)),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[619, 618])).
% 7.56/5.19 tff(621,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(622,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(623,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[622, 621])).
% 7.56/5.19 tff(624,plain,
% 7.56/5.19 (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[623, 620, 392])).
% 7.56/5.19 tff(625,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(626,plain,
% 7.56/5.19 (((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195)))))) <=> ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(627,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))))),
% 7.56/5.19 inference(monotonicity,[status(thm)],[626])).
% 7.56/5.19 tff(628,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.56/5.19 inference(transitivity,[status(thm)],[627, 625])).
% 7.56/5.19 tff(629,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(630,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[629, 628])).
% 7.56/5.19 tff(631,plain,
% 7.56/5.19 (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[630, 620, 412])).
% 7.56/5.19 tff(632,plain,
% 7.56/5.19 (((~v1(constB195)) | (~v102(constB195))) | v1(constB195)),
% 7.56/5.19 inference(tautology,[status(thm)],[])).
% 7.56/5.19 tff(633,plain,
% 7.56/5.19 ((~v1(constB195)) | (~v102(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[632, 495])).
% 7.56/5.19 tff(634,plain,
% 7.56/5.19 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195)) | (~((~v1(constB195)) | (~v102(constB195))))),
% 7.56/5.19 inference(tautology,[status(thm)],[])).
% 7.56/5.19 tff(635,plain,
% 7.56/5.19 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[634, 633])).
% 7.56/5.19 tff(636,plain,
% 7.56/5.19 (~v101(constB195)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[635, 631])).
% 7.56/5.19 tff(637,plain,
% 7.56/5.19 (((~v101(constB195)) | (~v110(constB195))) | v101(constB195)),
% 7.56/5.19 inference(tautology,[status(thm)],[])).
% 7.56/5.19 tff(638,plain,
% 7.56/5.19 ((~v101(constB195)) | (~v110(constB195))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[637, 636])).
% 7.56/5.19 tff(639,plain,
% 7.56/5.19 ((~(v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))) | (~v100(constB195)) | (~((~v101(constB195)) | (~v110(constB195))))),
% 7.56/5.19 inference(tautology,[status(thm)],[])).
% 7.56/5.19 tff(640,plain,
% 7.56/5.19 (~v100(constB195)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[639, 638, 624])).
% 7.56/5.19 tff(641,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB195) | (~nextState(constB194, constB195)) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB195) | (~nextState(constB194, constB195)) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(642,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB195) | (~nextState(constB194, constB195)) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B))))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(643,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB195) | (~nextState(constB194, constB195)) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[642, 641])).
% 7.56/5.19 tff(644,plain,
% 7.56/5.19 (v100(constB195) | ![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[643, 620, 441])).
% 7.56/5.19 tff(645,plain,
% 7.56/5.19 (![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[644, 640])).
% 7.56/5.19 tff(646,plain,
% 7.56/5.19 (less_3(bitIndex2) <=> less_3(bitIndex2)),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(647,axiom,(less_3(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_5')).
% 7.56/5.19 tff(648,plain,
% 7.56/5.19 (less_3(bitIndex2)),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[647, 646])).
% 7.56/5.19 tff(649,plain,
% 7.56/5.19 (((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(650,plain,
% 7.56/5.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(651,plain,
% 7.56/5.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[650, 649])).
% 7.56/5.19 tff(652,plain,
% 7.56/5.19 (v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[651, 648, 645])).
% 7.56/5.19 tff(653,plain,
% 7.56/5.19 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(654,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193')).
% 7.56/5.19 tff(655,plain,
% 7.56/5.19 (nextState(constB193, constB194)),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[654, 653])).
% 7.56/5.19 tff(656,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(657,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(658,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[657, 656])).
% 7.56/5.19 tff(659,plain,
% 7.56/5.19 (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[658, 655, 392])).
% 7.56/5.19 tff(660,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(661,plain,
% 7.56/5.19 (((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194)))))) <=> ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(662,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))))),
% 7.56/5.19 inference(monotonicity,[status(thm)],[661])).
% 7.56/5.19 tff(663,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 7.56/5.19 inference(transitivity,[status(thm)],[662, 660])).
% 7.56/5.19 tff(664,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(665,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[664, 663])).
% 7.56/5.19 tff(666,plain,
% 7.56/5.19 (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[665, 655, 412])).
% 7.56/5.19 tff(667,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 7.56/5.19 inference(rewrite,[status(thm)],[])).
% 7.56/5.19 tff(668,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 7.56/5.19 inference(quant_inst,[status(thm)],[])).
% 7.56/5.19 tff(669,plain,
% 7.56/5.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194))),
% 7.56/5.19 inference(modus_ponens,[status(thm)],[668, 667])).
% 7.56/5.19 tff(670,plain,
% 7.56/5.19 ((~v102(constB194)) <=> v104(constB194)),
% 7.56/5.19 inference(unit_resolution,[status(thm)],[669, 655, 474])).
% 7.56/5.19 tff(671,plain,
% 7.56/5.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(672,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(673,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[672, 671])).
% 7.56/5.20 tff(674,plain,
% 7.56/5.20 (v104(constB194) <=> v1(constB193)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[673, 655, 488])).
% 7.56/5.20 tff(675,plain,
% 7.56/5.20 ((~v1(constB193)) <=> (~v1(constB193))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(676,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193')).
% 7.56/5.20 tff(677,plain,
% 7.56/5.20 (~v1(constB193)),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[676, 675])).
% 7.56/5.20 tff(678,plain,
% 7.56/5.20 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194)) | v1(constB193)),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(679,plain,
% 7.56/5.20 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[678, 677])).
% 7.56/5.20 tff(680,plain,
% 7.56/5.20 (~v104(constB194)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[679, 674])).
% 7.56/5.20 tff(681,plain,
% 7.56/5.20 ((~((~v102(constB194)) <=> v104(constB194))) | v102(constB194) | v104(constB194)),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(682,plain,
% 7.56/5.20 (v102(constB194)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[681, 680, 670])).
% 7.56/5.20 tff(683,plain,
% 7.56/5.20 (v1(constB194) <=> v1(constB194)),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(684,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194')).
% 7.56/5.20 tff(685,plain,
% 7.56/5.20 (v1(constB194)),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[684, 683])).
% 7.56/5.20 tff(686,plain,
% 7.56/5.20 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v1(constB194)) | (~v102(constB194))),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(687,plain,
% 7.56/5.20 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v102(constB194))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[686, 685])).
% 7.56/5.20 tff(688,plain,
% 7.56/5.20 (~((~v1(constB194)) | (~v102(constB194)))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[687, 682])).
% 7.56/5.20 tff(689,plain,
% 7.56/5.20 ((~(v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))) | v101(constB194) | ((~v1(constB194)) | (~v102(constB194)))),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(690,plain,
% 7.56/5.20 (v101(constB194)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[689, 688, 666])).
% 7.56/5.20 tff(691,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(692,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(693,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[692, 691])).
% 7.56/5.20 tff(694,plain,
% 7.56/5.20 (v110(constB194) <=> v108(constB193)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[693, 655, 518])).
% 7.56/5.20 tff(695,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB193) <=> (v111(constB193) | v112(constB193)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(696,plain,
% 7.56/5.20 (v108(constB193) <=> (v111(constB193) | v112(constB193))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[695, 529])).
% 7.56/5.20 tff(697,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(698,plain,
% 7.56/5.20 (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193))))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[697, 541])).
% 7.56/5.20 tff(699,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB193) <=> (v114(constB193) | v125(constB193)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(700,plain,
% 7.56/5.20 (v113(constB193) <=> (v114(constB193) | v125(constB193))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[699, 550])).
% 7.56/5.20 tff(701,plain,
% 7.56/5.20 (^[VarCurr: $i] : refl((v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))) <=> (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))))),
% 7.56/5.20 inference(bind,[status(th)],[])).
% 7.56/5.20 tff(702,plain,
% 7.56/5.20 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.20 inference(quant_intro,[status(thm)],[701])).
% 7.56/5.20 tff(703,plain,
% 7.56/5.20 (^[VarCurr: $i] : rewrite((v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))))),
% 7.56/5.20 inference(bind,[status(th)],[])).
% 7.56/5.20 tff(704,plain,
% 7.56/5.20 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.20 inference(quant_intro,[status(thm)],[703])).
% 7.56/5.20 tff(705,plain,
% 7.56/5.20 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(706,plain,
% 7.56/5.20 (^[VarCurr: $i] : rewrite((v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))))),
% 7.56/5.20 inference(bind,[status(th)],[])).
% 7.56/5.20 tff(707,plain,
% 7.56/5.20 (![VarCurr: $i] : (v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.20 inference(quant_intro,[status(thm)],[706])).
% 7.56/5.20 tff(708,axiom,(![VarCurr: $i] : (v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8')).
% 7.56/5.20 tff(709,plain,
% 7.56/5.20 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[708, 707])).
% 7.56/5.20 tff(710,plain,
% 7.56/5.20 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[709, 705])).
% 7.56/5.20 tff(711,plain,(
% 7.56/5.20 ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.20 inference(skolemize,[status(sab)],[710])).
% 7.56/5.20 tff(712,plain,
% 7.56/5.20 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[711, 704])).
% 7.56/5.20 tff(713,plain,
% 7.56/5.20 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[712, 702])).
% 7.56/5.20 tff(714,plain,
% 7.56/5.20 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(715,plain,
% 7.56/5.20 ((v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2))))) <=> (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(716,plain,
% 7.56/5.20 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))))),
% 7.56/5.20 inference(monotonicity,[status(thm)],[715])).
% 7.56/5.20 tff(717,plain,
% 7.56/5.20 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))))),
% 7.56/5.20 inference(transitivity,[status(thm)],[716, 714])).
% 7.56/5.20 tff(718,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(719,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[718, 717])).
% 7.56/5.20 tff(720,plain,
% 7.56/5.20 (v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[719, 713])).
% 7.56/5.20 tff(721,plain,
% 7.56/5.20 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(722,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192')).
% 7.56/5.20 tff(723,plain,
% 7.56/5.20 (nextState(constB192, constB193)),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[722, 721])).
% 7.56/5.20 tff(724,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(725,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(726,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[725, 724])).
% 7.56/5.20 tff(727,plain,
% 7.56/5.20 (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[726, 723, 392])).
% 7.56/5.20 tff(728,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(729,plain,
% 7.56/5.20 (((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193)))))) <=> ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(730,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))))),
% 7.56/5.20 inference(monotonicity,[status(thm)],[729])).
% 7.56/5.20 tff(731,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.56/5.20 inference(transitivity,[status(thm)],[730, 728])).
% 7.56/5.20 tff(732,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(733,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[732, 731])).
% 7.56/5.20 tff(734,plain,
% 7.56/5.20 (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[733, 723, 412])).
% 7.56/5.20 tff(735,plain,
% 7.56/5.20 (((~v1(constB193)) | (~v102(constB193))) | v1(constB193)),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(736,plain,
% 7.56/5.20 ((~v1(constB193)) | (~v102(constB193))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[735, 677])).
% 7.56/5.20 tff(737,plain,
% 7.56/5.20 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193)) | (~((~v1(constB193)) | (~v102(constB193))))),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(738,plain,
% 7.56/5.20 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[737, 736])).
% 7.56/5.20 tff(739,plain,
% 7.56/5.20 (~v101(constB193)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[738, 734])).
% 7.56/5.20 tff(740,plain,
% 7.56/5.20 (((~v101(constB193)) | (~v110(constB193))) | v101(constB193)),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(741,plain,
% 7.56/5.20 ((~v101(constB193)) | (~v110(constB193))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[740, 739])).
% 7.56/5.20 tff(742,plain,
% 7.56/5.20 ((~(v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))) | (~v100(constB193)) | (~((~v101(constB193)) | (~v110(constB193))))),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(743,plain,
% 7.56/5.20 (~v100(constB193)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[742, 741, 727])).
% 7.56/5.20 tff(744,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(745,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(746,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[745, 744])).
% 7.56/5.20 tff(747,plain,
% 7.56/5.20 (v100(constB193) | ![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[746, 723, 441])).
% 7.56/5.20 tff(748,plain,
% 7.56/5.20 (![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[747, 743])).
% 7.56/5.20 tff(749,plain,
% 7.56/5.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(750,plain,
% 7.56/5.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(751,plain,
% 7.56/5.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[750, 749])).
% 7.56/5.20 tff(752,plain,
% 7.56/5.20 (v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[751, 648, 748])).
% 7.56/5.20 tff(753,plain,
% 7.56/5.20 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(754,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191')).
% 7.56/5.20 tff(755,plain,
% 7.56/5.20 (nextState(constB191, constB192)),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[754, 753])).
% 7.56/5.20 tff(756,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(757,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(758,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[757, 756])).
% 7.56/5.20 tff(759,plain,
% 7.56/5.20 (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[758, 755, 392])).
% 7.56/5.20 tff(760,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(761,plain,
% 7.56/5.20 (((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192)))))) <=> ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(762,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))))),
% 7.56/5.20 inference(monotonicity,[status(thm)],[761])).
% 7.56/5.20 tff(763,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 7.56/5.20 inference(transitivity,[status(thm)],[762, 760])).
% 7.56/5.20 tff(764,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(765,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[764, 763])).
% 7.56/5.20 tff(766,plain,
% 7.56/5.20 (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[765, 755, 412])).
% 7.56/5.20 tff(767,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(768,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(769,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[768, 767])).
% 7.56/5.20 tff(770,plain,
% 7.56/5.20 ((~v102(constB192)) <=> v104(constB192)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[769, 755, 474])).
% 7.56/5.20 tff(771,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(772,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(773,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[772, 771])).
% 7.56/5.20 tff(774,plain,
% 7.56/5.20 (v104(constB192) <=> v1(constB191)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[773, 755, 488])).
% 7.56/5.20 tff(775,plain,
% 7.56/5.20 ((~v1(constB191)) <=> (~v1(constB191))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(776,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191')).
% 7.56/5.20 tff(777,plain,
% 7.56/5.20 (~v1(constB191)),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[776, 775])).
% 7.56/5.20 tff(778,plain,
% 7.56/5.20 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192)) | v1(constB191)),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(779,plain,
% 7.56/5.20 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[778, 777])).
% 7.56/5.20 tff(780,plain,
% 7.56/5.20 (~v104(constB192)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[779, 774])).
% 7.56/5.20 tff(781,plain,
% 7.56/5.20 ((~((~v102(constB192)) <=> v104(constB192))) | v102(constB192) | v104(constB192)),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(782,plain,
% 7.56/5.20 (v102(constB192)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[781, 780, 770])).
% 7.56/5.20 tff(783,plain,
% 7.56/5.20 (v1(constB192) <=> v1(constB192)),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(784,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192')).
% 7.56/5.20 tff(785,plain,
% 7.56/5.20 (v1(constB192)),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[784, 783])).
% 7.56/5.20 tff(786,plain,
% 7.56/5.20 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v1(constB192)) | (~v102(constB192))),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(787,plain,
% 7.56/5.20 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v102(constB192))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[786, 785])).
% 7.56/5.20 tff(788,plain,
% 7.56/5.20 (~((~v1(constB192)) | (~v102(constB192)))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[787, 782])).
% 7.56/5.20 tff(789,plain,
% 7.56/5.20 ((~(v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))) | v101(constB192) | ((~v1(constB192)) | (~v102(constB192)))),
% 7.56/5.20 inference(tautology,[status(thm)],[])).
% 7.56/5.20 tff(790,plain,
% 7.56/5.20 (v101(constB192)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[789, 788, 766])).
% 7.56/5.20 tff(791,plain,
% 7.56/5.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(792,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(793,plain,
% 7.56/5.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[792, 791])).
% 7.56/5.20 tff(794,plain,
% 7.56/5.20 (v110(constB192) <=> v108(constB191)),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[793, 755, 518])).
% 7.56/5.20 tff(795,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB191) <=> (v111(constB191) | v112(constB191)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(796,plain,
% 7.56/5.20 (v108(constB191) <=> (v111(constB191) | v112(constB191))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[795, 529])).
% 7.56/5.20 tff(797,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(798,plain,
% 7.56/5.20 (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191))))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[797, 541])).
% 7.56/5.20 tff(799,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB191) <=> (v114(constB191) | v125(constB191)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(800,plain,
% 7.56/5.20 (v113(constB191) <=> (v114(constB191) | v125(constB191))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[799, 550])).
% 7.56/5.20 tff(801,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB191) <=> (v115(constB191) | v124(constB191)))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(802,plain,
% 7.56/5.20 (v114(constB191) <=> (v115(constB191) | v124(constB191))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[801, 559])).
% 7.56/5.20 tff(803,plain,
% 7.56/5.20 (^[VarCurr: $i] : refl((v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))))),
% 7.56/5.20 inference(bind,[status(th)],[])).
% 7.56/5.20 tff(804,plain,
% 7.56/5.20 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.20 inference(quant_intro,[status(thm)],[803])).
% 7.56/5.20 tff(805,plain,
% 7.56/5.20 (^[VarCurr: $i] : rewrite((v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))))),
% 7.56/5.20 inference(bind,[status(th)],[])).
% 7.56/5.20 tff(806,plain,
% 7.56/5.20 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.20 inference(quant_intro,[status(thm)],[805])).
% 7.56/5.20 tff(807,plain,
% 7.56/5.20 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(808,plain,
% 7.56/5.20 (^[VarCurr: $i] : rewrite((v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))))),
% 7.56/5.20 inference(bind,[status(th)],[])).
% 7.56/5.20 tff(809,plain,
% 7.56/5.20 (![VarCurr: $i] : (v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.20 inference(quant_intro,[status(thm)],[808])).
% 7.56/5.20 tff(810,axiom,(![VarCurr: $i] : (v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7')).
% 7.56/5.20 tff(811,plain,
% 7.56/5.20 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[810, 809])).
% 7.56/5.20 tff(812,plain,
% 7.56/5.20 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[811, 807])).
% 7.56/5.20 tff(813,plain,(
% 7.56/5.20 ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 7.56/5.20 inference(skolemize,[status(sab)],[812])).
% 7.56/5.20 tff(814,plain,
% 7.56/5.20 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[813, 806])).
% 7.56/5.20 tff(815,plain,
% 7.56/5.20 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[814, 804])).
% 7.56/5.20 tff(816,plain,
% 7.56/5.20 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0))))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(817,plain,
% 7.56/5.20 ((v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2))))) <=> (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))))),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(818,plain,
% 7.56/5.20 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0))))))),
% 7.56/5.20 inference(monotonicity,[status(thm)],[817])).
% 7.56/5.20 tff(819,plain,
% 7.56/5.20 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0))))))),
% 7.56/5.20 inference(transitivity,[status(thm)],[818, 816])).
% 7.56/5.20 tff(820,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2)))))),
% 7.56/5.20 inference(quant_inst,[status(thm)],[])).
% 7.56/5.20 tff(821,plain,
% 7.56/5.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))))),
% 7.56/5.20 inference(modus_ponens,[status(thm)],[820, 819])).
% 7.56/5.20 tff(822,plain,
% 7.56/5.20 (v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0))))),
% 7.56/5.20 inference(unit_resolution,[status(thm)],[821, 815])).
% 7.56/5.20 tff(823,plain,
% 7.56/5.20 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 7.56/5.20 inference(rewrite,[status(thm)],[])).
% 7.56/5.20 tff(824,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190')).
% 7.56/5.20 tff(825,plain,
% 7.56/5.20 (nextState(constB190, constB191)),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[824, 823])).
% 7.56/5.21 tff(826,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(827,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(828,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[827, 826])).
% 7.56/5.21 tff(829,plain,
% 7.56/5.21 (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[828, 825, 392])).
% 7.56/5.21 tff(830,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(831,plain,
% 7.56/5.21 (((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(832,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))))),
% 7.56/5.21 inference(monotonicity,[status(thm)],[831])).
% 7.56/5.21 tff(833,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.56/5.21 inference(transitivity,[status(thm)],[832, 830])).
% 7.56/5.21 tff(834,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(835,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[834, 833])).
% 7.56/5.21 tff(836,plain,
% 7.56/5.21 (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[835, 825, 412])).
% 7.56/5.21 tff(837,plain,
% 7.56/5.21 (((~v1(constB191)) | (~v102(constB191))) | v1(constB191)),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(838,plain,
% 7.56/5.21 ((~v1(constB191)) | (~v102(constB191))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[837, 777])).
% 7.56/5.21 tff(839,plain,
% 7.56/5.21 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191)) | (~((~v1(constB191)) | (~v102(constB191))))),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(840,plain,
% 7.56/5.21 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[839, 838])).
% 7.56/5.21 tff(841,plain,
% 7.56/5.21 (~v101(constB191)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[840, 836])).
% 7.56/5.21 tff(842,plain,
% 7.56/5.21 (((~v101(constB191)) | (~v110(constB191))) | v101(constB191)),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(843,plain,
% 7.56/5.21 ((~v101(constB191)) | (~v110(constB191))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[842, 841])).
% 7.56/5.21 tff(844,plain,
% 7.56/5.21 ((~(v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))) | (~v100(constB191)) | (~((~v101(constB191)) | (~v110(constB191))))),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(845,plain,
% 7.56/5.21 (~v100(constB191)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[844, 843, 829])).
% 7.56/5.21 tff(846,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(847,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(848,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[847, 846])).
% 7.56/5.21 tff(849,plain,
% 7.56/5.21 (v100(constB191) | ![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[848, 825, 441])).
% 7.56/5.21 tff(850,plain,
% 7.56/5.21 (![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[849, 845])).
% 7.56/5.21 tff(851,plain,
% 7.56/5.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(852,plain,
% 7.56/5.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(853,plain,
% 7.56/5.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[852, 851])).
% 7.56/5.21 tff(854,plain,
% 7.56/5.21 (v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[853, 648, 850])).
% 7.56/5.21 tff(855,plain,
% 7.56/5.21 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(856,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189')).
% 7.56/5.21 tff(857,plain,
% 7.56/5.21 (nextState(constB189, constB190)),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[856, 855])).
% 7.56/5.21 tff(858,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(859,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(860,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[859, 858])).
% 7.56/5.21 tff(861,plain,
% 7.56/5.21 (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[860, 857, 392])).
% 7.56/5.21 tff(862,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(863,plain,
% 7.56/5.21 (((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(864,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))))),
% 7.56/5.21 inference(monotonicity,[status(thm)],[863])).
% 7.56/5.21 tff(865,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 7.56/5.21 inference(transitivity,[status(thm)],[864, 862])).
% 7.56/5.21 tff(866,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(867,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[866, 865])).
% 7.56/5.21 tff(868,plain,
% 7.56/5.21 (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[867, 857, 412])).
% 7.56/5.21 tff(869,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(870,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(871,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[870, 869])).
% 7.56/5.21 tff(872,plain,
% 7.56/5.21 ((~v102(constB190)) <=> v104(constB190)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[871, 857, 474])).
% 7.56/5.21 tff(873,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(874,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(875,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[874, 873])).
% 7.56/5.21 tff(876,plain,
% 7.56/5.21 (v104(constB190) <=> v1(constB189)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[875, 857, 488])).
% 7.56/5.21 tff(877,plain,
% 7.56/5.21 ((~v1(constB189)) <=> (~v1(constB189))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(878,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189')).
% 7.56/5.21 tff(879,plain,
% 7.56/5.21 (~v1(constB189)),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[878, 877])).
% 7.56/5.21 tff(880,plain,
% 7.56/5.21 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190)) | v1(constB189)),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(881,plain,
% 7.56/5.21 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[880, 879])).
% 7.56/5.21 tff(882,plain,
% 7.56/5.21 (~v104(constB190)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[881, 876])).
% 7.56/5.21 tff(883,plain,
% 7.56/5.21 ((~((~v102(constB190)) <=> v104(constB190))) | v102(constB190) | v104(constB190)),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(884,plain,
% 7.56/5.21 (v102(constB190)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[883, 882, 872])).
% 7.56/5.21 tff(885,plain,
% 7.56/5.21 (v1(constB190) <=> v1(constB190)),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(886,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190')).
% 7.56/5.21 tff(887,plain,
% 7.56/5.21 (v1(constB190)),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[886, 885])).
% 7.56/5.21 tff(888,plain,
% 7.56/5.21 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v1(constB190)) | (~v102(constB190))),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(889,plain,
% 7.56/5.21 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v102(constB190))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[888, 887])).
% 7.56/5.21 tff(890,plain,
% 7.56/5.21 (~((~v1(constB190)) | (~v102(constB190)))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[889, 884])).
% 7.56/5.21 tff(891,plain,
% 7.56/5.21 ((~(v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))) | v101(constB190) | ((~v1(constB190)) | (~v102(constB190)))),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(892,plain,
% 7.56/5.21 (v101(constB190)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[891, 890, 868])).
% 7.56/5.21 tff(893,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(894,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(895,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[894, 893])).
% 7.56/5.21 tff(896,plain,
% 7.56/5.21 (v110(constB190) <=> v108(constB189)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[895, 857, 518])).
% 7.56/5.21 tff(897,plain,
% 7.56/5.21 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB189) <=> (v111(constB189) | v112(constB189)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(898,plain,
% 7.56/5.21 (v108(constB189) <=> (v111(constB189) | v112(constB189))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[897, 529])).
% 7.56/5.21 tff(899,plain,
% 7.56/5.21 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(900,plain,
% 7.56/5.21 (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189))))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[899, 541])).
% 7.56/5.21 tff(901,plain,
% 7.56/5.21 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB189) <=> (v114(constB189) | v125(constB189)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(902,plain,
% 7.56/5.21 (v113(constB189) <=> (v114(constB189) | v125(constB189))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[901, 550])).
% 7.56/5.21 tff(903,plain,
% 7.56/5.21 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB189) <=> (v115(constB189) | v124(constB189)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(904,plain,
% 7.56/5.21 (v114(constB189) <=> (v115(constB189) | v124(constB189))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[903, 559])).
% 7.56/5.21 tff(905,plain,
% 7.56/5.21 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB189) <=> (v116(constB189) | v123(constB189)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(906,plain,
% 7.56/5.21 (v115(constB189) <=> (v116(constB189) | v123(constB189))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[905, 568])).
% 7.56/5.21 tff(907,plain,
% 7.56/5.21 (^[VarCurr: $i] : refl((v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))))),
% 7.56/5.21 inference(bind,[status(th)],[])).
% 7.56/5.21 tff(908,plain,
% 7.56/5.21 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.21 inference(quant_intro,[status(thm)],[907])).
% 7.56/5.21 tff(909,plain,
% 7.56/5.21 (^[VarCurr: $i] : rewrite((v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))))),
% 7.56/5.21 inference(bind,[status(th)],[])).
% 7.56/5.21 tff(910,plain,
% 7.56/5.21 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.21 inference(quant_intro,[status(thm)],[909])).
% 7.56/5.21 tff(911,plain,
% 7.56/5.21 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(912,plain,
% 7.56/5.21 (^[VarCurr: $i] : rewrite((v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))))),
% 7.56/5.21 inference(bind,[status(th)],[])).
% 7.56/5.21 tff(913,plain,
% 7.56/5.21 (![VarCurr: $i] : (v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.21 inference(quant_intro,[status(thm)],[912])).
% 7.56/5.21 tff(914,axiom,(![VarCurr: $i] : (v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6')).
% 7.56/5.21 tff(915,plain,
% 7.56/5.21 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[914, 913])).
% 7.56/5.21 tff(916,plain,
% 7.56/5.21 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[915, 911])).
% 7.56/5.21 tff(917,plain,(
% 7.56/5.21 ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 7.56/5.21 inference(skolemize,[status(sab)],[916])).
% 7.56/5.21 tff(918,plain,
% 7.56/5.21 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[917, 910])).
% 7.56/5.21 tff(919,plain,
% 7.56/5.21 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[918, 908])).
% 7.56/5.21 tff(920,plain,
% 7.56/5.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0)))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(921,plain,
% 7.56/5.21 ((v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2))))) <=> (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(922,plain,
% 7.56/5.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0)))))),
% 7.56/5.21 inference(monotonicity,[status(thm)],[921])).
% 7.56/5.21 tff(923,plain,
% 7.56/5.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0)))))),
% 7.56/5.21 inference(transitivity,[status(thm)],[922, 920])).
% 7.56/5.21 tff(924,plain,
% 7.56/5.21 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(925,plain,
% 7.56/5.21 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[924, 923])).
% 7.56/5.21 tff(926,plain,
% 7.56/5.21 (v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0)))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[925, 919])).
% 7.56/5.21 tff(927,plain,
% 7.56/5.21 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(928,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188')).
% 7.56/5.21 tff(929,plain,
% 7.56/5.21 (nextState(constB188, constB189)),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[928, 927])).
% 7.56/5.21 tff(930,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(931,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(932,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[931, 930])).
% 7.56/5.21 tff(933,plain,
% 7.56/5.21 (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[932, 929, 392])).
% 7.56/5.21 tff(934,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(935,plain,
% 7.56/5.21 (((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189)))))) <=> ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(936,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))))),
% 7.56/5.21 inference(monotonicity,[status(thm)],[935])).
% 7.56/5.21 tff(937,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 7.56/5.21 inference(transitivity,[status(thm)],[936, 934])).
% 7.56/5.21 tff(938,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(939,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[938, 937])).
% 7.56/5.21 tff(940,plain,
% 7.56/5.21 (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[939, 929, 412])).
% 7.56/5.21 tff(941,plain,
% 7.56/5.21 (((~v1(constB189)) | (~v102(constB189))) | v1(constB189)),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(942,plain,
% 7.56/5.21 ((~v1(constB189)) | (~v102(constB189))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[941, 879])).
% 7.56/5.21 tff(943,plain,
% 7.56/5.21 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189)) | (~((~v1(constB189)) | (~v102(constB189))))),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(944,plain,
% 7.56/5.21 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[943, 942])).
% 7.56/5.21 tff(945,plain,
% 7.56/5.21 (~v101(constB189)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[944, 940])).
% 7.56/5.21 tff(946,plain,
% 7.56/5.21 (((~v101(constB189)) | (~v110(constB189))) | v101(constB189)),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(947,plain,
% 7.56/5.21 ((~v101(constB189)) | (~v110(constB189))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[946, 945])).
% 7.56/5.21 tff(948,plain,
% 7.56/5.21 ((~(v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))) | (~v100(constB189)) | (~((~v101(constB189)) | (~v110(constB189))))),
% 7.56/5.21 inference(tautology,[status(thm)],[])).
% 7.56/5.21 tff(949,plain,
% 7.56/5.21 (~v100(constB189)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[948, 947, 933])).
% 7.56/5.21 tff(950,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(951,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(952,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[951, 950])).
% 7.56/5.21 tff(953,plain,
% 7.56/5.21 (v100(constB189) | ![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[952, 929, 441])).
% 7.56/5.21 tff(954,plain,
% 7.56/5.21 (![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[953, 949])).
% 7.56/5.21 tff(955,plain,
% 7.56/5.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(956,plain,
% 7.56/5.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(957,plain,
% 7.56/5.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[956, 955])).
% 7.56/5.21 tff(958,plain,
% 7.56/5.21 (v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2)),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[957, 648, 954])).
% 7.56/5.21 tff(959,plain,
% 7.56/5.21 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(960,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187')).
% 7.56/5.21 tff(961,plain,
% 7.56/5.21 (nextState(constB187, constB188)),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[960, 959])).
% 7.56/5.21 tff(962,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(963,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 7.56/5.21 inference(quant_inst,[status(thm)],[])).
% 7.56/5.21 tff(964,plain,
% 7.56/5.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))),
% 7.56/5.21 inference(modus_ponens,[status(thm)],[963, 962])).
% 7.56/5.21 tff(965,plain,
% 7.56/5.21 (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))),
% 7.56/5.21 inference(unit_resolution,[status(thm)],[964, 961, 392])).
% 7.56/5.21 tff(966,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(967,plain,
% 7.56/5.21 (((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188)))))) <=> ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 7.56/5.21 inference(rewrite,[status(thm)],[])).
% 7.56/5.21 tff(968,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))))),
% 7.56/5.21 inference(monotonicity,[status(thm)],[967])).
% 7.56/5.21 tff(969,plain,
% 7.56/5.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 7.56/5.22 inference(transitivity,[status(thm)],[968, 966])).
% 7.56/5.22 tff(970,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(971,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[970, 969])).
% 7.56/5.22 tff(972,plain,
% 7.56/5.22 (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[971, 961, 412])).
% 7.56/5.22 tff(973,plain,
% 7.56/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(974,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(975,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[974, 973])).
% 7.56/5.22 tff(976,plain,
% 7.56/5.22 ((~v102(constB188)) <=> v104(constB188)),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[975, 961, 474])).
% 7.56/5.22 tff(977,plain,
% 7.56/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(978,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(979,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[978, 977])).
% 7.56/5.22 tff(980,plain,
% 7.56/5.22 (v104(constB188) <=> v1(constB187)),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[979, 961, 488])).
% 7.56/5.22 tff(981,plain,
% 7.56/5.22 ((~v1(constB187)) <=> (~v1(constB187))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(982,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187')).
% 7.56/5.22 tff(983,plain,
% 7.56/5.22 (~v1(constB187)),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[982, 981])).
% 7.56/5.22 tff(984,plain,
% 7.56/5.22 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188)) | v1(constB187)),
% 7.56/5.22 inference(tautology,[status(thm)],[])).
% 7.56/5.22 tff(985,plain,
% 7.56/5.22 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[984, 983])).
% 7.56/5.22 tff(986,plain,
% 7.56/5.22 (~v104(constB188)),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[985, 980])).
% 7.56/5.22 tff(987,plain,
% 7.56/5.22 ((~((~v102(constB188)) <=> v104(constB188))) | v102(constB188) | v104(constB188)),
% 7.56/5.22 inference(tautology,[status(thm)],[])).
% 7.56/5.22 tff(988,plain,
% 7.56/5.22 (v102(constB188)),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[987, 986, 976])).
% 7.56/5.22 tff(989,plain,
% 7.56/5.22 (v1(constB188) <=> v1(constB188)),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(990,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188')).
% 7.56/5.22 tff(991,plain,
% 7.56/5.22 (v1(constB188)),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[990, 989])).
% 7.56/5.22 tff(992,plain,
% 7.56/5.22 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v1(constB188)) | (~v102(constB188))),
% 7.56/5.22 inference(tautology,[status(thm)],[])).
% 7.56/5.22 tff(993,plain,
% 7.56/5.22 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v102(constB188))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[992, 991])).
% 7.56/5.22 tff(994,plain,
% 7.56/5.22 (~((~v1(constB188)) | (~v102(constB188)))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[993, 988])).
% 7.56/5.22 tff(995,plain,
% 7.56/5.22 ((~(v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))) | v101(constB188) | ((~v1(constB188)) | (~v102(constB188)))),
% 7.56/5.22 inference(tautology,[status(thm)],[])).
% 7.56/5.22 tff(996,plain,
% 7.56/5.22 (v101(constB188)),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[995, 994, 972])).
% 7.56/5.22 tff(997,plain,
% 7.56/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(998,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(999,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[998, 997])).
% 7.56/5.22 tff(1000,plain,
% 7.56/5.22 (v110(constB188) <=> v108(constB187)),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[999, 961, 518])).
% 7.56/5.22 tff(1001,plain,
% 7.56/5.22 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB187) <=> (v111(constB187) | v112(constB187)))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1002,plain,
% 7.56/5.22 (v108(constB187) <=> (v111(constB187) | v112(constB187))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1001, 529])).
% 7.56/5.22 tff(1003,plain,
% 7.56/5.22 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1004,plain,
% 7.56/5.22 (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187))))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1003, 541])).
% 7.56/5.22 tff(1005,plain,
% 7.56/5.22 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB187) <=> (v114(constB187) | v125(constB187)))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1006,plain,
% 7.56/5.22 (v113(constB187) <=> (v114(constB187) | v125(constB187))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1005, 550])).
% 7.56/5.22 tff(1007,plain,
% 7.56/5.22 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB187) <=> (v115(constB187) | v124(constB187)))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1008,plain,
% 7.56/5.22 (v114(constB187) <=> (v115(constB187) | v124(constB187))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1007, 559])).
% 7.56/5.22 tff(1009,plain,
% 7.56/5.22 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB187) <=> (v116(constB187) | v123(constB187)))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1010,plain,
% 7.56/5.22 (v115(constB187) <=> (v116(constB187) | v123(constB187))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1009, 568])).
% 7.56/5.22 tff(1011,plain,
% 7.56/5.22 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB187) <=> (v117(constB187) | v122(constB187)))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1012,plain,
% 7.56/5.22 (v116(constB187) <=> (v117(constB187) | v122(constB187))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1011, 577])).
% 7.56/5.22 tff(1013,plain,
% 7.56/5.22 (^[VarCurr: $i] : refl((v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))))),
% 7.56/5.22 inference(bind,[status(th)],[])).
% 7.56/5.22 tff(1014,plain,
% 7.56/5.22 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 7.56/5.22 inference(quant_intro,[status(thm)],[1013])).
% 7.56/5.22 tff(1015,plain,
% 7.56/5.22 (^[VarCurr: $i] : rewrite((v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))))),
% 7.56/5.22 inference(bind,[status(th)],[])).
% 7.56/5.22 tff(1016,plain,
% 7.56/5.22 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 7.56/5.22 inference(quant_intro,[status(thm)],[1015])).
% 7.56/5.22 tff(1017,plain,
% 7.56/5.22 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(1018,plain,
% 7.56/5.22 (^[VarCurr: $i] : rewrite((v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))))),
% 7.56/5.22 inference(bind,[status(th)],[])).
% 7.56/5.22 tff(1019,plain,
% 7.56/5.22 (![VarCurr: $i] : (v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 7.56/5.22 inference(quant_intro,[status(thm)],[1018])).
% 7.56/5.22 tff(1020,axiom,(![VarCurr: $i] : (v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5')).
% 7.56/5.22 tff(1021,plain,
% 7.56/5.22 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[1020, 1019])).
% 7.56/5.22 tff(1022,plain,
% 7.56/5.22 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[1021, 1017])).
% 7.56/5.22 tff(1023,plain,(
% 7.56/5.22 ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 7.56/5.22 inference(skolemize,[status(sab)],[1022])).
% 7.56/5.22 tff(1024,plain,
% 7.56/5.22 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[1023, 1016])).
% 7.56/5.22 tff(1025,plain,
% 7.56/5.22 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[1024, 1014])).
% 7.56/5.22 tff(1026,plain,
% 7.56/5.22 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(1027,plain,
% 7.56/5.22 ((v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1))))) <=> (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(1028,plain,
% 7.56/5.22 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))))),
% 7.56/5.22 inference(monotonicity,[status(thm)],[1027])).
% 7.56/5.22 tff(1029,plain,
% 7.56/5.22 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))))),
% 7.56/5.22 inference(transitivity,[status(thm)],[1028, 1026])).
% 7.56/5.22 tff(1030,plain,
% 7.56/5.22 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)))))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1031,plain,
% 7.56/5.22 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 7.56/5.22 tff(1032,plain,
% 7.56/5.22 (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1031, 1025])).
% 7.56/5.22 tff(1033,plain,
% 7.56/5.22 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(1034,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186')).
% 7.56/5.22 tff(1035,plain,
% 7.56/5.22 (nextState(constB186, constB187)),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 7.56/5.22 tff(1036,plain,
% 7.56/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(1037,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1038,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 7.56/5.22 tff(1039,plain,
% 7.56/5.22 (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1038, 1035, 392])).
% 7.56/5.22 tff(1040,plain,
% 7.56/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(1041,plain,
% 7.56/5.22 (((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187)))))) <=> ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 7.56/5.22 inference(rewrite,[status(thm)],[])).
% 7.56/5.22 tff(1042,plain,
% 7.56/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))))),
% 7.56/5.22 inference(monotonicity,[status(thm)],[1041])).
% 7.56/5.22 tff(1043,plain,
% 7.56/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 7.56/5.22 inference(transitivity,[status(thm)],[1042, 1040])).
% 7.56/5.22 tff(1044,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))),
% 7.56/5.22 inference(quant_inst,[status(thm)],[])).
% 7.56/5.22 tff(1045,plain,
% 7.56/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))),
% 7.56/5.22 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 7.56/5.22 tff(1046,plain,
% 7.56/5.22 (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1045, 1035, 412])).
% 7.56/5.22 tff(1047,plain,
% 7.56/5.22 (((~v1(constB187)) | (~v102(constB187))) | v1(constB187)),
% 7.56/5.22 inference(tautology,[status(thm)],[])).
% 7.56/5.22 tff(1048,plain,
% 7.56/5.22 ((~v1(constB187)) | (~v102(constB187))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1047, 983])).
% 7.56/5.22 tff(1049,plain,
% 7.56/5.22 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187)) | (~((~v1(constB187)) | (~v102(constB187))))),
% 7.56/5.22 inference(tautology,[status(thm)],[])).
% 7.56/5.22 tff(1050,plain,
% 7.56/5.22 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1049, 1048])).
% 7.56/5.22 tff(1051,plain,
% 7.56/5.22 (~v101(constB187)),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1050, 1046])).
% 7.56/5.22 tff(1052,plain,
% 7.56/5.22 (((~v101(constB187)) | (~v110(constB187))) | v101(constB187)),
% 7.56/5.22 inference(tautology,[status(thm)],[])).
% 7.56/5.22 tff(1053,plain,
% 7.56/5.22 ((~v101(constB187)) | (~v110(constB187))),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1052, 1051])).
% 7.56/5.22 tff(1054,plain,
% 7.56/5.22 ((~(v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))) | (~v100(constB187)) | (~((~v101(constB187)) | (~v110(constB187))))),
% 7.56/5.22 inference(tautology,[status(thm)],[])).
% 7.56/5.22 tff(1055,plain,
% 7.56/5.22 (~v100(constB187)),
% 7.56/5.22 inference(unit_resolution,[status(thm)],[1054, 1053, 1039])).
% 7.56/5.22 tff(1056,plain,
% 7.56/5.22 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B))))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1057,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B))))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1058,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 7.65/5.22 tff(1059,plain,
% 7.65/5.22 (v100(constB187) | ![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1058, 1035, 441])).
% 7.65/5.22 tff(1060,plain,
% 7.65/5.22 (![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1059, 1055])).
% 7.65/5.22 tff(1061,plain,
% 7.65/5.22 (((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1062,plain,
% 7.65/5.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1063,plain,
% 7.65/5.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 7.65/5.22 tff(1064,plain,
% 7.65/5.22 (v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2)),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1063, 648, 1060])).
% 7.65/5.22 tff(1065,plain,
% 7.65/5.22 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1066,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185')).
% 7.65/5.22 tff(1067,plain,
% 7.65/5.22 (nextState(constB185, constB186)),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 7.65/5.22 tff(1068,plain,
% 7.65/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1069,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1070,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1069, 1068])).
% 7.65/5.22 tff(1071,plain,
% 7.65/5.22 (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1070, 1067, 392])).
% 7.65/5.22 tff(1072,plain,
% 7.65/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1073,plain,
% 7.65/5.22 (((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186)))))) <=> ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1074,plain,
% 7.65/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))))),
% 7.65/5.22 inference(monotonicity,[status(thm)],[1073])).
% 7.65/5.22 tff(1075,plain,
% 7.65/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 7.65/5.22 inference(transitivity,[status(thm)],[1074, 1072])).
% 7.65/5.22 tff(1076,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1077,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1076, 1075])).
% 7.65/5.22 tff(1078,plain,
% 7.65/5.22 (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1077, 1067, 412])).
% 7.65/5.22 tff(1079,plain,
% 7.65/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1080,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1081,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 7.65/5.22 tff(1082,plain,
% 7.65/5.22 ((~v102(constB186)) <=> v104(constB186)),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1081, 1067, 474])).
% 7.65/5.22 tff(1083,plain,
% 7.65/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1084,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1085,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 7.65/5.22 tff(1086,plain,
% 7.65/5.22 (v104(constB186) <=> v1(constB185)),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1085, 1067, 488])).
% 7.65/5.22 tff(1087,plain,
% 7.65/5.22 ((~v1(constB185)) <=> (~v1(constB185))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1088,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185')).
% 7.65/5.22 tff(1089,plain,
% 7.65/5.22 (~v1(constB185)),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 7.65/5.22 tff(1090,plain,
% 7.65/5.22 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186)) | v1(constB185)),
% 7.65/5.22 inference(tautology,[status(thm)],[])).
% 7.65/5.22 tff(1091,plain,
% 7.65/5.22 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1090, 1089])).
% 7.65/5.22 tff(1092,plain,
% 7.65/5.22 (~v104(constB186)),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1091, 1086])).
% 7.65/5.22 tff(1093,plain,
% 7.65/5.22 ((~((~v102(constB186)) <=> v104(constB186))) | v102(constB186) | v104(constB186)),
% 7.65/5.22 inference(tautology,[status(thm)],[])).
% 7.65/5.22 tff(1094,plain,
% 7.65/5.22 (v102(constB186)),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1093, 1092, 1082])).
% 7.65/5.22 tff(1095,plain,
% 7.65/5.22 (v1(constB186) <=> v1(constB186)),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1096,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186')).
% 7.65/5.22 tff(1097,plain,
% 7.65/5.22 (v1(constB186)),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1096, 1095])).
% 7.65/5.22 tff(1098,plain,
% 7.65/5.22 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v1(constB186)) | (~v102(constB186))),
% 7.65/5.22 inference(tautology,[status(thm)],[])).
% 7.65/5.22 tff(1099,plain,
% 7.65/5.22 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v102(constB186))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1098, 1097])).
% 7.65/5.22 tff(1100,plain,
% 7.65/5.22 (~((~v1(constB186)) | (~v102(constB186)))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1099, 1094])).
% 7.65/5.22 tff(1101,plain,
% 7.65/5.22 ((~(v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))) | v101(constB186) | ((~v1(constB186)) | (~v102(constB186)))),
% 7.65/5.22 inference(tautology,[status(thm)],[])).
% 7.65/5.22 tff(1102,plain,
% 7.65/5.22 (v101(constB186)),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1101, 1100, 1078])).
% 7.65/5.22 tff(1103,plain,
% 7.65/5.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1104,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1105,plain,
% 7.65/5.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1104, 1103])).
% 7.65/5.22 tff(1106,plain,
% 7.65/5.22 (v110(constB186) <=> v108(constB185)),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1105, 1067, 518])).
% 7.65/5.22 tff(1107,plain,
% 7.65/5.22 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB185) <=> (v111(constB185) | v112(constB185)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1108,plain,
% 7.65/5.22 (v108(constB185) <=> (v111(constB185) | v112(constB185))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1107, 529])).
% 7.65/5.22 tff(1109,plain,
% 7.65/5.22 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1110,plain,
% 7.65/5.22 (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185))))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1109, 541])).
% 7.65/5.22 tff(1111,plain,
% 7.65/5.22 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB185) <=> (v114(constB185) | v125(constB185)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1112,plain,
% 7.65/5.22 (v113(constB185) <=> (v114(constB185) | v125(constB185))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1111, 550])).
% 7.65/5.22 tff(1113,plain,
% 7.65/5.22 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB185) <=> (v115(constB185) | v124(constB185)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1114,plain,
% 7.65/5.22 (v114(constB185) <=> (v115(constB185) | v124(constB185))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1113, 559])).
% 7.65/5.22 tff(1115,plain,
% 7.65/5.22 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB185) <=> (v116(constB185) | v123(constB185)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1116,plain,
% 7.65/5.22 (v115(constB185) <=> (v116(constB185) | v123(constB185))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1115, 568])).
% 7.65/5.22 tff(1117,plain,
% 7.65/5.22 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB185) <=> (v117(constB185) | v122(constB185)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1118,plain,
% 7.65/5.22 (v116(constB185) <=> (v117(constB185) | v122(constB185))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1117, 577])).
% 7.65/5.22 tff(1119,plain,
% 7.65/5.22 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB185) <=> (v118(constB185) | v121(constB185)))),
% 7.65/5.22 inference(quant_inst,[status(thm)],[])).
% 7.65/5.22 tff(1120,plain,
% 7.65/5.22 (v117(constB185) <=> (v118(constB185) | v121(constB185))),
% 7.65/5.22 inference(unit_resolution,[status(thm)],[1119, 586])).
% 7.65/5.22 tff(1121,plain,
% 7.65/5.22 (^[VarCurr: $i] : refl((v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))))),
% 7.65/5.22 inference(bind,[status(th)],[])).
% 7.65/5.22 tff(1122,plain,
% 7.65/5.22 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 7.65/5.22 inference(quant_intro,[status(thm)],[1121])).
% 7.65/5.22 tff(1123,plain,
% 7.65/5.22 (^[VarCurr: $i] : rewrite((v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))))),
% 7.65/5.22 inference(bind,[status(th)],[])).
% 7.65/5.22 tff(1124,plain,
% 7.65/5.22 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 7.65/5.22 inference(quant_intro,[status(thm)],[1123])).
% 7.65/5.22 tff(1125,plain,
% 7.65/5.22 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1126,plain,
% 7.65/5.22 (^[VarCurr: $i] : rewrite((v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))))),
% 7.65/5.22 inference(bind,[status(th)],[])).
% 7.65/5.22 tff(1127,plain,
% 7.65/5.22 (![VarCurr: $i] : (v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.65/5.22 inference(quant_intro,[status(thm)],[1126])).
% 7.65/5.22 tff(1128,axiom,(![VarCurr: $i] : (v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4')).
% 7.65/5.22 tff(1129,plain,
% 7.65/5.22 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1128, 1127])).
% 7.65/5.22 tff(1130,plain,
% 7.65/5.22 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1129, 1125])).
% 7.65/5.22 tff(1131,plain,(
% 7.65/5.22 ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.65/5.22 inference(skolemize,[status(sab)],[1130])).
% 7.65/5.22 tff(1132,plain,
% 7.65/5.22 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1131, 1124])).
% 7.65/5.22 tff(1133,plain,
% 7.65/5.22 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 7.65/5.22 inference(modus_ponens,[status(thm)],[1132, 1122])).
% 7.65/5.22 tff(1134,plain,
% 7.65/5.22 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 7.65/5.22 inference(rewrite,[status(thm)],[])).
% 7.65/5.22 tff(1135,plain,
% 7.65/5.22 ((v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1))))) <=> (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1136,plain,
% 7.65/5.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 7.65/5.23 inference(monotonicity,[status(thm)],[1135])).
% 7.65/5.23 tff(1137,plain,
% 7.65/5.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))))),
% 7.65/5.23 inference(transitivity,[status(thm)],[1136, 1134])).
% 7.65/5.23 tff(1138,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1139,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 7.65/5.23 tff(1140,plain,
% 7.65/5.23 (v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1139, 1133])).
% 7.65/5.23 tff(1141,plain,
% 7.65/5.23 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1142,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184')).
% 7.65/5.23 tff(1143,plain,
% 7.65/5.23 (nextState(constB184, constB185)),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 7.65/5.23 tff(1144,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1145,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1146,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 7.65/5.23 tff(1147,plain,
% 7.65/5.23 (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1146, 1143, 392])).
% 7.65/5.23 tff(1148,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1149,plain,
% 7.65/5.23 (((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185)))))) <=> ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1150,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))))),
% 7.65/5.23 inference(monotonicity,[status(thm)],[1149])).
% 7.65/5.23 tff(1151,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 7.65/5.23 inference(transitivity,[status(thm)],[1150, 1148])).
% 7.65/5.23 tff(1152,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1153,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 7.65/5.23 tff(1154,plain,
% 7.65/5.23 (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1153, 1143, 412])).
% 7.65/5.23 tff(1155,plain,
% 7.65/5.23 (((~v1(constB185)) | (~v102(constB185))) | v1(constB185)),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1156,plain,
% 7.65/5.23 ((~v1(constB185)) | (~v102(constB185))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1155, 1089])).
% 7.65/5.23 tff(1157,plain,
% 7.65/5.23 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185)) | (~((~v1(constB185)) | (~v102(constB185))))),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1158,plain,
% 7.65/5.23 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1157, 1156])).
% 7.65/5.23 tff(1159,plain,
% 7.65/5.23 (~v101(constB185)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1158, 1154])).
% 7.65/5.23 tff(1160,plain,
% 7.65/5.23 (((~v101(constB185)) | (~v110(constB185))) | v101(constB185)),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1161,plain,
% 7.65/5.23 ((~v101(constB185)) | (~v110(constB185))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1160, 1159])).
% 7.65/5.23 tff(1162,plain,
% 7.65/5.23 ((~(v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))) | (~v100(constB185)) | (~((~v101(constB185)) | (~v110(constB185))))),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1163,plain,
% 7.65/5.23 (~v100(constB185)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1162, 1161, 1147])).
% 7.65/5.23 tff(1164,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1165,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1166,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 7.65/5.23 tff(1167,plain,
% 7.65/5.23 (v100(constB185) | ![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1166, 1143, 441])).
% 7.65/5.23 tff(1168,plain,
% 7.65/5.23 (![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1167, 1163])).
% 7.65/5.23 tff(1169,plain,
% 7.65/5.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1170,plain,
% 7.65/5.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1171,plain,
% 7.65/5.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 7.65/5.23 tff(1172,plain,
% 7.65/5.23 (v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1171, 648, 1168])).
% 7.65/5.23 tff(1173,plain,
% 7.65/5.23 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1174,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183')).
% 7.65/5.23 tff(1175,plain,
% 7.65/5.23 (nextState(constB183, constB184)),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 7.65/5.23 tff(1176,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1177,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1178,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 7.65/5.23 tff(1179,plain,
% 7.65/5.23 (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1178, 1175, 392])).
% 7.65/5.23 tff(1180,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1181,plain,
% 7.65/5.23 (((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184)))))) <=> ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1182,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))))),
% 7.65/5.23 inference(monotonicity,[status(thm)],[1181])).
% 7.65/5.23 tff(1183,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 7.65/5.23 inference(transitivity,[status(thm)],[1182, 1180])).
% 7.65/5.23 tff(1184,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1185,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1184, 1183])).
% 7.65/5.23 tff(1186,plain,
% 7.65/5.23 (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1185, 1175, 412])).
% 7.65/5.23 tff(1187,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1188,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1189,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 7.65/5.23 tff(1190,plain,
% 7.65/5.23 ((~v102(constB184)) <=> v104(constB184)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1189, 1175, 474])).
% 7.65/5.23 tff(1191,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1192,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1193,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1192, 1191])).
% 7.65/5.23 tff(1194,plain,
% 7.65/5.23 (v104(constB184) <=> v1(constB183)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1193, 1175, 488])).
% 7.65/5.23 tff(1195,plain,
% 7.65/5.23 ((~v1(constB183)) <=> (~v1(constB183))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1196,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183')).
% 7.65/5.23 tff(1197,plain,
% 7.65/5.23 (~v1(constB183)),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1196, 1195])).
% 7.65/5.23 tff(1198,plain,
% 7.65/5.23 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184)) | v1(constB183)),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1199,plain,
% 7.65/5.23 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1198, 1197])).
% 7.65/5.23 tff(1200,plain,
% 7.65/5.23 (~v104(constB184)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1199, 1194])).
% 7.65/5.23 tff(1201,plain,
% 7.65/5.23 ((~((~v102(constB184)) <=> v104(constB184))) | v102(constB184) | v104(constB184)),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1202,plain,
% 7.65/5.23 (v102(constB184)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1201, 1200, 1190])).
% 7.65/5.23 tff(1203,plain,
% 7.65/5.23 (v1(constB184) <=> v1(constB184)),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1204,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184')).
% 7.65/5.23 tff(1205,plain,
% 7.65/5.23 (v1(constB184)),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1204, 1203])).
% 7.65/5.23 tff(1206,plain,
% 7.65/5.23 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v1(constB184)) | (~v102(constB184))),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1207,plain,
% 7.65/5.23 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v102(constB184))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1206, 1205])).
% 7.65/5.23 tff(1208,plain,
% 7.65/5.23 (~((~v1(constB184)) | (~v102(constB184)))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1207, 1202])).
% 7.65/5.23 tff(1209,plain,
% 7.65/5.23 ((~(v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))) | v101(constB184) | ((~v1(constB184)) | (~v102(constB184)))),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1210,plain,
% 7.65/5.23 (v101(constB184)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1209, 1208, 1186])).
% 7.65/5.23 tff(1211,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1212,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1213,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 7.65/5.23 tff(1214,plain,
% 7.65/5.23 (v110(constB184) <=> v108(constB183)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1213, 1175, 518])).
% 7.65/5.23 tff(1215,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB183) <=> (v111(constB183) | v112(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1216,plain,
% 7.65/5.23 (v108(constB183) <=> (v111(constB183) | v112(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1215, 529])).
% 7.65/5.23 tff(1217,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1218,plain,
% 7.65/5.23 (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1217, 541])).
% 7.65/5.23 tff(1219,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB183) <=> (v114(constB183) | v125(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1220,plain,
% 7.65/5.23 (v113(constB183) <=> (v114(constB183) | v125(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1219, 550])).
% 7.65/5.23 tff(1221,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB183) <=> (v115(constB183) | v124(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1222,plain,
% 7.65/5.23 (v114(constB183) <=> (v115(constB183) | v124(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1221, 559])).
% 7.65/5.23 tff(1223,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB183) <=> (v116(constB183) | v123(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1224,plain,
% 7.65/5.23 (v115(constB183) <=> (v116(constB183) | v123(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1223, 568])).
% 7.65/5.23 tff(1225,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB183) <=> (v117(constB183) | v122(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1226,plain,
% 7.65/5.23 (v116(constB183) <=> (v117(constB183) | v122(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1225, 577])).
% 7.65/5.23 tff(1227,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB183) <=> (v118(constB183) | v121(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1228,plain,
% 7.65/5.23 (v117(constB183) <=> (v118(constB183) | v121(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1227, 586])).
% 7.65/5.23 tff(1229,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB183) <=> (v119(constB183) | v120(constB183)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1230,plain,
% 7.65/5.23 (v118(constB183) <=> (v119(constB183) | v120(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1229, 595])).
% 7.65/5.23 tff(1231,plain,
% 7.65/5.23 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1232,plain,
% 7.65/5.23 ((v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0))))) <=> (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1233,plain,
% 7.65/5.23 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0))))))),
% 7.65/5.23 inference(monotonicity,[status(thm)],[1232])).
% 7.65/5.23 tff(1234,plain,
% 7.65/5.23 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0))))))),
% 7.65/5.23 inference(transitivity,[status(thm)],[1233, 1231])).
% 7.65/5.23 tff(1235,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1236,plain,
% 7.65/5.23 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1235, 1234])).
% 7.65/5.23 tff(1237,plain,
% 7.65/5.23 (v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1236, 610])).
% 7.65/5.23 tff(1238,plain,
% 7.65/5.23 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1239,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182')).
% 7.65/5.23 tff(1240,plain,
% 7.65/5.23 (nextState(constB182, constB183)),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1239, 1238])).
% 7.65/5.23 tff(1241,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1242,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1243,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 7.65/5.23 tff(1244,plain,
% 7.65/5.23 (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1243, 1240, 392])).
% 7.65/5.23 tff(1245,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1246,plain,
% 7.65/5.23 (((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183)))))) <=> ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1247,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))))),
% 7.65/5.23 inference(monotonicity,[status(thm)],[1246])).
% 7.65/5.23 tff(1248,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 7.65/5.23 inference(transitivity,[status(thm)],[1247, 1245])).
% 7.65/5.23 tff(1249,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1250,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 7.65/5.23 tff(1251,plain,
% 7.65/5.23 (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1250, 1240, 412])).
% 7.65/5.23 tff(1252,plain,
% 7.65/5.23 (((~v1(constB183)) | (~v102(constB183))) | v1(constB183)),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1253,plain,
% 7.65/5.23 ((~v1(constB183)) | (~v102(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1252, 1197])).
% 7.65/5.23 tff(1254,plain,
% 7.65/5.23 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183)) | (~((~v1(constB183)) | (~v102(constB183))))),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1255,plain,
% 7.65/5.23 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1254, 1253])).
% 7.65/5.23 tff(1256,plain,
% 7.65/5.23 (~v101(constB183)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1255, 1251])).
% 7.65/5.23 tff(1257,plain,
% 7.65/5.23 (((~v101(constB183)) | (~v110(constB183))) | v101(constB183)),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1258,plain,
% 7.65/5.23 ((~v101(constB183)) | (~v110(constB183))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1257, 1256])).
% 7.65/5.23 tff(1259,plain,
% 7.65/5.23 ((~(v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))) | (~v100(constB183)) | (~((~v101(constB183)) | (~v110(constB183))))),
% 7.65/5.23 inference(tautology,[status(thm)],[])).
% 7.65/5.23 tff(1260,plain,
% 7.65/5.23 (~v100(constB183)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1259, 1258, 1244])).
% 7.65/5.23 tff(1261,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1262,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1263,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 7.65/5.23 tff(1264,plain,
% 7.65/5.23 (v100(constB183) | ![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1263, 1240, 441])).
% 7.65/5.23 tff(1265,plain,
% 7.65/5.23 (![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1264, 1260])).
% 7.65/5.23 tff(1266,plain,
% 7.65/5.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1267,plain,
% 7.65/5.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1268,plain,
% 7.65/5.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1267, 1266])).
% 7.65/5.23 tff(1269,plain,
% 7.65/5.23 (v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2)),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1268, 648, 1265])).
% 7.65/5.23 tff(1270,plain,
% 7.65/5.23 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1271,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181')).
% 7.65/5.23 tff(1272,plain,
% 7.65/5.23 (nextState(constB181, constB182)),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1271, 1270])).
% 7.65/5.23 tff(1273,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1274,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1275,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 7.65/5.23 tff(1276,plain,
% 7.65/5.23 (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1275, 1272, 392])).
% 7.65/5.23 tff(1277,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1278,plain,
% 7.65/5.23 (((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182)))))) <=> ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1279,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))))),
% 7.65/5.23 inference(monotonicity,[status(thm)],[1278])).
% 7.65/5.23 tff(1280,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 7.65/5.23 inference(transitivity,[status(thm)],[1279, 1277])).
% 7.65/5.23 tff(1281,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1282,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))),
% 7.65/5.23 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 7.65/5.23 tff(1283,plain,
% 7.65/5.23 (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))),
% 7.65/5.23 inference(unit_resolution,[status(thm)],[1282, 1272, 412])).
% 7.65/5.23 tff(1284,plain,
% 7.65/5.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 7.65/5.23 inference(rewrite,[status(thm)],[])).
% 7.65/5.23 tff(1285,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 7.65/5.23 inference(quant_inst,[status(thm)],[])).
% 7.65/5.23 tff(1286,plain,
% 7.65/5.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 7.65/5.24 tff(1287,plain,
% 7.65/5.24 ((~v102(constB182)) <=> v104(constB182)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1286, 1272, 474])).
% 7.65/5.24 tff(1288,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1289,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1290,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 7.65/5.24 tff(1291,plain,
% 7.65/5.24 (v104(constB182) <=> v1(constB181)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1290, 1272, 488])).
% 7.65/5.24 tff(1292,plain,
% 7.65/5.24 ((~v1(constB181)) <=> (~v1(constB181))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1293,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181')).
% 7.65/5.24 tff(1294,plain,
% 7.65/5.24 (~v1(constB181)),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 7.65/5.24 tff(1295,plain,
% 7.65/5.24 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182)) | v1(constB181)),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1296,plain,
% 7.65/5.24 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1295, 1294])).
% 7.65/5.24 tff(1297,plain,
% 7.65/5.24 (~v104(constB182)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1296, 1291])).
% 7.65/5.24 tff(1298,plain,
% 7.65/5.24 ((~((~v102(constB182)) <=> v104(constB182))) | v102(constB182) | v104(constB182)),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1299,plain,
% 7.65/5.24 (v102(constB182)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1298, 1297, 1287])).
% 7.65/5.24 tff(1300,plain,
% 7.65/5.24 (v1(constB182) <=> v1(constB182)),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1301,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182')).
% 7.65/5.24 tff(1302,plain,
% 7.65/5.24 (v1(constB182)),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 7.65/5.24 tff(1303,plain,
% 7.65/5.24 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v1(constB182)) | (~v102(constB182))),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1304,plain,
% 7.65/5.24 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v102(constB182))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1303, 1302])).
% 7.65/5.24 tff(1305,plain,
% 7.65/5.24 (~((~v1(constB182)) | (~v102(constB182)))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1304, 1299])).
% 7.65/5.24 tff(1306,plain,
% 7.65/5.24 ((~(v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))) | v101(constB182) | ((~v1(constB182)) | (~v102(constB182)))),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1307,plain,
% 7.65/5.24 (v101(constB182)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1306, 1305, 1283])).
% 7.65/5.24 tff(1308,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1309,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1310,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 7.65/5.24 tff(1311,plain,
% 7.65/5.24 (v110(constB182) <=> v108(constB181)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1310, 1272, 518])).
% 7.65/5.24 tff(1312,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB181) <=> (v111(constB181) | v112(constB181)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1313,plain,
% 7.65/5.24 (v108(constB181) <=> (v111(constB181) | v112(constB181))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1312, 529])).
% 7.65/5.24 tff(1314,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1315,plain,
% 7.65/5.24 (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1314, 541])).
% 7.65/5.24 tff(1316,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB181) <=> (v114(constB181) | v125(constB181)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1317,plain,
% 7.65/5.24 (v113(constB181) <=> (v114(constB181) | v125(constB181))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1316, 550])).
% 7.65/5.24 tff(1318,plain,
% 7.65/5.24 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1319,plain,
% 7.65/5.24 ((v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2))))) <=> (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1320,plain,
% 7.65/5.24 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))))),
% 7.65/5.24 inference(monotonicity,[status(thm)],[1319])).
% 7.65/5.24 tff(1321,plain,
% 7.65/5.24 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))))),
% 7.65/5.24 inference(transitivity,[status(thm)],[1320, 1318])).
% 7.65/5.24 tff(1322,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1323,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 7.65/5.24 tff(1324,plain,
% 7.65/5.24 (v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1323, 713])).
% 7.65/5.24 tff(1325,plain,
% 7.65/5.24 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1326,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180')).
% 7.65/5.24 tff(1327,plain,
% 7.65/5.24 (nextState(constB180, constB181)),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1326, 1325])).
% 7.65/5.24 tff(1328,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1329,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1330,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1329, 1328])).
% 7.65/5.24 tff(1331,plain,
% 7.65/5.24 (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1330, 1327, 392])).
% 7.65/5.24 tff(1332,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1333,plain,
% 7.65/5.24 (((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1334,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))))),
% 7.65/5.24 inference(monotonicity,[status(thm)],[1333])).
% 7.65/5.24 tff(1335,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 7.65/5.24 inference(transitivity,[status(thm)],[1334, 1332])).
% 7.65/5.24 tff(1336,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1337,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 7.65/5.24 tff(1338,plain,
% 7.65/5.24 (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1337, 1327, 412])).
% 7.65/5.24 tff(1339,plain,
% 7.65/5.24 (((~v1(constB181)) | (~v102(constB181))) | v1(constB181)),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1340,plain,
% 7.65/5.24 ((~v1(constB181)) | (~v102(constB181))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1339, 1294])).
% 7.65/5.24 tff(1341,plain,
% 7.65/5.24 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181)) | (~((~v1(constB181)) | (~v102(constB181))))),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1342,plain,
% 7.65/5.24 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1341, 1340])).
% 7.65/5.24 tff(1343,plain,
% 7.65/5.24 (~v101(constB181)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1342, 1338])).
% 7.65/5.24 tff(1344,plain,
% 7.65/5.24 (((~v101(constB181)) | (~v110(constB181))) | v101(constB181)),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1345,plain,
% 7.65/5.24 ((~v101(constB181)) | (~v110(constB181))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1344, 1343])).
% 7.65/5.24 tff(1346,plain,
% 7.65/5.24 ((~(v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))) | (~v100(constB181)) | (~((~v101(constB181)) | (~v110(constB181))))),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1347,plain,
% 7.65/5.24 (~v100(constB181)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1346, 1345, 1331])).
% 7.65/5.24 tff(1348,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1349,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1350,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 7.65/5.24 tff(1351,plain,
% 7.65/5.24 (v100(constB181) | ![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1350, 1327, 441])).
% 7.65/5.24 tff(1352,plain,
% 7.65/5.24 (![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1351, 1347])).
% 7.65/5.24 tff(1353,plain,
% 7.65/5.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1354,plain,
% 7.65/5.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1355,plain,
% 7.65/5.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 7.65/5.24 tff(1356,plain,
% 7.65/5.24 (v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1355, 648, 1352])).
% 7.65/5.24 tff(1357,plain,
% 7.65/5.24 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1358,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179')).
% 7.65/5.24 tff(1359,plain,
% 7.65/5.24 (nextState(constB179, constB180)),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 7.65/5.24 tff(1360,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1361,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1362,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 7.65/5.24 tff(1363,plain,
% 7.65/5.24 (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1362, 1359, 392])).
% 7.65/5.24 tff(1364,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1365,plain,
% 7.65/5.24 (((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1366,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))))),
% 7.65/5.24 inference(monotonicity,[status(thm)],[1365])).
% 7.65/5.24 tff(1367,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 7.65/5.24 inference(transitivity,[status(thm)],[1366, 1364])).
% 7.65/5.24 tff(1368,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1369,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 7.65/5.24 tff(1370,plain,
% 7.65/5.24 (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1369, 1359, 412])).
% 7.65/5.24 tff(1371,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1372,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1373,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 7.65/5.24 tff(1374,plain,
% 7.65/5.24 ((~v102(constB180)) <=> v104(constB180)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1373, 1359, 474])).
% 7.65/5.24 tff(1375,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1376,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1377,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 7.65/5.24 tff(1378,plain,
% 7.65/5.24 (v104(constB180) <=> v1(constB179)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1377, 1359, 488])).
% 7.65/5.24 tff(1379,plain,
% 7.65/5.24 ((~v1(constB179)) <=> (~v1(constB179))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1380,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179')).
% 7.65/5.24 tff(1381,plain,
% 7.65/5.24 (~v1(constB179)),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1380, 1379])).
% 7.65/5.24 tff(1382,plain,
% 7.65/5.24 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180)) | v1(constB179)),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1383,plain,
% 7.65/5.24 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1382, 1381])).
% 7.65/5.24 tff(1384,plain,
% 7.65/5.24 (~v104(constB180)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1383, 1378])).
% 7.65/5.24 tff(1385,plain,
% 7.65/5.24 ((~((~v102(constB180)) <=> v104(constB180))) | v102(constB180) | v104(constB180)),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1386,plain,
% 7.65/5.24 (v102(constB180)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1385, 1384, 1374])).
% 7.65/5.24 tff(1387,plain,
% 7.65/5.24 (v1(constB180) <=> v1(constB180)),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1388,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180')).
% 7.65/5.24 tff(1389,plain,
% 7.65/5.24 (v1(constB180)),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1388, 1387])).
% 7.65/5.24 tff(1390,plain,
% 7.65/5.24 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v1(constB180)) | (~v102(constB180))),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1391,plain,
% 7.65/5.24 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v102(constB180))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1390, 1389])).
% 7.65/5.24 tff(1392,plain,
% 7.65/5.24 (~((~v1(constB180)) | (~v102(constB180)))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1391, 1386])).
% 7.65/5.24 tff(1393,plain,
% 7.65/5.24 ((~(v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))) | v101(constB180) | ((~v1(constB180)) | (~v102(constB180)))),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1394,plain,
% 7.65/5.24 (v101(constB180)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1393, 1392, 1370])).
% 7.65/5.24 tff(1395,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1396,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1397,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 7.65/5.24 tff(1398,plain,
% 7.65/5.24 (v110(constB180) <=> v108(constB179)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1397, 1359, 518])).
% 7.65/5.24 tff(1399,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB179) <=> (v111(constB179) | v112(constB179)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1400,plain,
% 7.65/5.24 (v108(constB179) <=> (v111(constB179) | v112(constB179))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1399, 529])).
% 7.65/5.24 tff(1401,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1402,plain,
% 7.65/5.24 (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1401, 541])).
% 7.65/5.24 tff(1403,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB179) <=> (v114(constB179) | v125(constB179)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1404,plain,
% 7.65/5.24 (v113(constB179) <=> (v114(constB179) | v125(constB179))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1403, 550])).
% 7.65/5.24 tff(1405,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB179) <=> (v115(constB179) | v124(constB179)))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1406,plain,
% 7.65/5.24 (v114(constB179) <=> (v115(constB179) | v124(constB179))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1405, 559])).
% 7.65/5.24 tff(1407,plain,
% 7.65/5.24 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1408,plain,
% 7.65/5.24 ((v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2))))) <=> (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1409,plain,
% 7.65/5.24 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0))))))),
% 7.65/5.24 inference(monotonicity,[status(thm)],[1408])).
% 7.65/5.24 tff(1410,plain,
% 7.65/5.24 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0))))))),
% 7.65/5.24 inference(transitivity,[status(thm)],[1409, 1407])).
% 7.65/5.24 tff(1411,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2)))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1412,plain,
% 7.65/5.24 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 7.65/5.24 tff(1413,plain,
% 7.65/5.24 (v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1412, 815])).
% 7.65/5.24 tff(1414,plain,
% 7.65/5.24 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1415,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178')).
% 7.65/5.24 tff(1416,plain,
% 7.65/5.24 (nextState(constB178, constB179)),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 7.65/5.24 tff(1417,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1418,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1419,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1418, 1417])).
% 7.65/5.24 tff(1420,plain,
% 7.65/5.24 (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1419, 1416, 392])).
% 7.65/5.24 tff(1421,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1422,plain,
% 7.65/5.24 (((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179)))))) <=> ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1423,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))))),
% 7.65/5.24 inference(monotonicity,[status(thm)],[1422])).
% 7.65/5.24 tff(1424,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 7.65/5.24 inference(transitivity,[status(thm)],[1423, 1421])).
% 7.65/5.24 tff(1425,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))),
% 7.65/5.24 inference(quant_inst,[status(thm)],[])).
% 7.65/5.24 tff(1426,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))),
% 7.65/5.24 inference(modus_ponens,[status(thm)],[1425, 1424])).
% 7.65/5.24 tff(1427,plain,
% 7.65/5.24 (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1426, 1416, 412])).
% 7.65/5.24 tff(1428,plain,
% 7.65/5.24 (((~v1(constB179)) | (~v102(constB179))) | v1(constB179)),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1429,plain,
% 7.65/5.24 ((~v1(constB179)) | (~v102(constB179))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1428, 1381])).
% 7.65/5.24 tff(1430,plain,
% 7.65/5.24 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179)) | (~((~v1(constB179)) | (~v102(constB179))))),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1431,plain,
% 7.65/5.24 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1430, 1429])).
% 7.65/5.24 tff(1432,plain,
% 7.65/5.24 (~v101(constB179)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1431, 1427])).
% 7.65/5.24 tff(1433,plain,
% 7.65/5.24 (((~v101(constB179)) | (~v110(constB179))) | v101(constB179)),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1434,plain,
% 7.65/5.24 ((~v101(constB179)) | (~v110(constB179))),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1433, 1432])).
% 7.65/5.24 tff(1435,plain,
% 7.65/5.24 ((~(v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))) | (~v100(constB179)) | (~((~v101(constB179)) | (~v110(constB179))))),
% 7.65/5.24 inference(tautology,[status(thm)],[])).
% 7.65/5.24 tff(1436,plain,
% 7.65/5.24 (~v100(constB179)),
% 7.65/5.24 inference(unit_resolution,[status(thm)],[1435, 1434, 1420])).
% 7.65/5.24 tff(1437,plain,
% 7.65/5.24 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B))))),
% 7.65/5.24 inference(rewrite,[status(thm)],[])).
% 7.65/5.24 tff(1438,plain,
% 7.65/5.24 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1439,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1438, 1437])).
% 7.65/5.25 tff(1440,plain,
% 7.65/5.25 (v100(constB179) | ![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1439, 1416, 441])).
% 7.65/5.25 tff(1441,plain,
% 7.65/5.25 (![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1440, 1436])).
% 7.65/5.25 tff(1442,plain,
% 7.65/5.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1443,plain,
% 7.65/5.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1444,plain,
% 7.65/5.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 7.65/5.25 tff(1445,plain,
% 7.65/5.25 (v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1444, 648, 1441])).
% 7.65/5.25 tff(1446,plain,
% 7.65/5.25 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1447,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177')).
% 7.65/5.25 tff(1448,plain,
% 7.65/5.25 (nextState(constB177, constB178)),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 7.65/5.25 tff(1449,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1450,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1451,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 7.65/5.25 tff(1452,plain,
% 7.65/5.25 (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1451, 1448, 392])).
% 7.65/5.25 tff(1453,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1454,plain,
% 7.65/5.25 (((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178)))))) <=> ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1455,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))))),
% 7.65/5.25 inference(monotonicity,[status(thm)],[1454])).
% 7.65/5.25 tff(1456,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 7.65/5.25 inference(transitivity,[status(thm)],[1455, 1453])).
% 7.65/5.25 tff(1457,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1458,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1457, 1456])).
% 7.65/5.25 tff(1459,plain,
% 7.65/5.25 (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1458, 1448, 412])).
% 7.65/5.25 tff(1460,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1461,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1462,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 7.65/5.25 tff(1463,plain,
% 7.65/5.25 ((~v102(constB178)) <=> v104(constB178)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1462, 1448, 474])).
% 7.65/5.25 tff(1464,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1465,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1466,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 7.65/5.25 tff(1467,plain,
% 7.65/5.25 (v104(constB178) <=> v1(constB177)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1466, 1448, 488])).
% 7.65/5.25 tff(1468,plain,
% 7.65/5.25 ((~v1(constB177)) <=> (~v1(constB177))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1469,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177')).
% 7.65/5.25 tff(1470,plain,
% 7.65/5.25 (~v1(constB177)),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1469, 1468])).
% 7.65/5.25 tff(1471,plain,
% 7.65/5.25 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178)) | v1(constB177)),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1472,plain,
% 7.65/5.25 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1471, 1470])).
% 7.65/5.25 tff(1473,plain,
% 7.65/5.25 (~v104(constB178)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1472, 1467])).
% 7.65/5.25 tff(1474,plain,
% 7.65/5.25 ((~((~v102(constB178)) <=> v104(constB178))) | v102(constB178) | v104(constB178)),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1475,plain,
% 7.65/5.25 (v102(constB178)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1474, 1473, 1463])).
% 7.65/5.25 tff(1476,plain,
% 7.65/5.25 (v1(constB178) <=> v1(constB178)),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1477,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178')).
% 7.65/5.25 tff(1478,plain,
% 7.65/5.25 (v1(constB178)),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1477, 1476])).
% 7.65/5.25 tff(1479,plain,
% 7.65/5.25 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v1(constB178)) | (~v102(constB178))),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1480,plain,
% 7.65/5.25 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v102(constB178))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1479, 1478])).
% 7.65/5.25 tff(1481,plain,
% 7.65/5.25 (~((~v1(constB178)) | (~v102(constB178)))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1480, 1475])).
% 7.65/5.25 tff(1482,plain,
% 7.65/5.25 ((~(v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))) | v101(constB178) | ((~v1(constB178)) | (~v102(constB178)))),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1483,plain,
% 7.65/5.25 (v101(constB178)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1482, 1481, 1459])).
% 7.65/5.25 tff(1484,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1485,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1486,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 7.65/5.25 tff(1487,plain,
% 7.65/5.25 (v110(constB178) <=> v108(constB177)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1486, 1448, 518])).
% 7.65/5.25 tff(1488,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB177) <=> (v111(constB177) | v112(constB177)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1489,plain,
% 7.65/5.25 (v108(constB177) <=> (v111(constB177) | v112(constB177))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1488, 529])).
% 7.65/5.25 tff(1490,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1491,plain,
% 7.65/5.25 (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177))))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1490, 541])).
% 7.65/5.25 tff(1492,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB177) <=> (v114(constB177) | v125(constB177)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1493,plain,
% 7.65/5.25 (v113(constB177) <=> (v114(constB177) | v125(constB177))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1492, 550])).
% 7.65/5.25 tff(1494,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB177) <=> (v115(constB177) | v124(constB177)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1495,plain,
% 7.65/5.25 (v114(constB177) <=> (v115(constB177) | v124(constB177))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1494, 559])).
% 7.65/5.25 tff(1496,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB177) <=> (v116(constB177) | v123(constB177)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1497,plain,
% 7.65/5.25 (v115(constB177) <=> (v116(constB177) | v123(constB177))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1496, 568])).
% 7.65/5.25 tff(1498,plain,
% 7.65/5.25 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0)))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1499,plain,
% 7.65/5.25 ((v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2))))) <=> (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1500,plain,
% 7.65/5.25 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0)))))),
% 7.65/5.25 inference(monotonicity,[status(thm)],[1499])).
% 7.65/5.25 tff(1501,plain,
% 7.65/5.25 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0)))))),
% 7.65/5.25 inference(transitivity,[status(thm)],[1500, 1498])).
% 7.65/5.25 tff(1502,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1503,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1502, 1501])).
% 7.65/5.25 tff(1504,plain,
% 7.65/5.25 (v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0)))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1503, 919])).
% 7.65/5.25 tff(1505,plain,
% 7.65/5.25 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1506,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176')).
% 7.65/5.25 tff(1507,plain,
% 7.65/5.25 (nextState(constB176, constB177)),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 7.65/5.25 tff(1508,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1509,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1510,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 7.65/5.25 tff(1511,plain,
% 7.65/5.25 (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1510, 1507, 392])).
% 7.65/5.25 tff(1512,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1513,plain,
% 7.65/5.25 (((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177)))))) <=> ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1514,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))))),
% 7.65/5.25 inference(monotonicity,[status(thm)],[1513])).
% 7.65/5.25 tff(1515,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 7.65/5.25 inference(transitivity,[status(thm)],[1514, 1512])).
% 7.65/5.25 tff(1516,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1517,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1516, 1515])).
% 7.65/5.25 tff(1518,plain,
% 7.65/5.25 (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1517, 1507, 412])).
% 7.65/5.25 tff(1519,plain,
% 7.65/5.25 (((~v1(constB177)) | (~v102(constB177))) | v1(constB177)),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1520,plain,
% 7.65/5.25 ((~v1(constB177)) | (~v102(constB177))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1519, 1470])).
% 7.65/5.25 tff(1521,plain,
% 7.65/5.25 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177)) | (~((~v1(constB177)) | (~v102(constB177))))),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1522,plain,
% 7.65/5.25 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1521, 1520])).
% 7.65/5.25 tff(1523,plain,
% 7.65/5.25 (~v101(constB177)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1522, 1518])).
% 7.65/5.25 tff(1524,plain,
% 7.65/5.25 (((~v101(constB177)) | (~v110(constB177))) | v101(constB177)),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1525,plain,
% 7.65/5.25 ((~v101(constB177)) | (~v110(constB177))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1524, 1523])).
% 7.65/5.25 tff(1526,plain,
% 7.65/5.25 ((~(v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))) | (~v100(constB177)) | (~((~v101(constB177)) | (~v110(constB177))))),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1527,plain,
% 7.65/5.25 (~v100(constB177)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1526, 1525, 1511])).
% 7.65/5.25 tff(1528,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1529,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1530,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1529, 1528])).
% 7.65/5.25 tff(1531,plain,
% 7.65/5.25 (v100(constB177) | ![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1530, 1507, 441])).
% 7.65/5.25 tff(1532,plain,
% 7.65/5.25 (![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1531, 1527])).
% 7.65/5.25 tff(1533,plain,
% 7.65/5.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1534,plain,
% 7.65/5.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1535,plain,
% 7.65/5.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 7.65/5.25 tff(1536,plain,
% 7.65/5.25 (v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1535, 648, 1532])).
% 7.65/5.25 tff(1537,plain,
% 7.65/5.25 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1538,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175')).
% 7.65/5.25 tff(1539,plain,
% 7.65/5.25 (nextState(constB175, constB176)),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 7.65/5.25 tff(1540,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1541,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1542,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 7.65/5.25 tff(1543,plain,
% 7.65/5.25 (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1542, 1539, 392])).
% 7.65/5.25 tff(1544,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1545,plain,
% 7.65/5.25 (((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176)))))) <=> ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1546,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))))),
% 7.65/5.25 inference(monotonicity,[status(thm)],[1545])).
% 7.65/5.25 tff(1547,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 7.65/5.25 inference(transitivity,[status(thm)],[1546, 1544])).
% 7.65/5.25 tff(1548,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1549,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 7.65/5.25 tff(1550,plain,
% 7.65/5.25 (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1549, 1539, 412])).
% 7.65/5.25 tff(1551,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1552,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1553,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 7.65/5.25 tff(1554,plain,
% 7.65/5.25 ((~v102(constB176)) <=> v104(constB176)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1553, 1539, 474])).
% 7.65/5.25 tff(1555,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1556,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1557,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 7.65/5.25 tff(1558,plain,
% 7.65/5.25 (v104(constB176) <=> v1(constB175)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1557, 1539, 488])).
% 7.65/5.25 tff(1559,plain,
% 7.65/5.25 ((~v1(constB175)) <=> (~v1(constB175))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1560,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175')).
% 7.65/5.25 tff(1561,plain,
% 7.65/5.25 (~v1(constB175)),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 7.65/5.25 tff(1562,plain,
% 7.65/5.25 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176)) | v1(constB175)),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1563,plain,
% 7.65/5.25 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1562, 1561])).
% 7.65/5.25 tff(1564,plain,
% 7.65/5.25 (~v104(constB176)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1563, 1558])).
% 7.65/5.25 tff(1565,plain,
% 7.65/5.25 ((~((~v102(constB176)) <=> v104(constB176))) | v102(constB176) | v104(constB176)),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1566,plain,
% 7.65/5.25 (v102(constB176)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1565, 1564, 1554])).
% 7.65/5.25 tff(1567,plain,
% 7.65/5.25 (v1(constB176) <=> v1(constB176)),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1568,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176')).
% 7.65/5.25 tff(1569,plain,
% 7.65/5.25 (v1(constB176)),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 7.65/5.25 tff(1570,plain,
% 7.65/5.25 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v1(constB176)) | (~v102(constB176))),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1571,plain,
% 7.65/5.25 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v102(constB176))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1570, 1569])).
% 7.65/5.25 tff(1572,plain,
% 7.65/5.25 (~((~v1(constB176)) | (~v102(constB176)))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1571, 1566])).
% 7.65/5.25 tff(1573,plain,
% 7.65/5.25 ((~(v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))) | v101(constB176) | ((~v1(constB176)) | (~v102(constB176)))),
% 7.65/5.25 inference(tautology,[status(thm)],[])).
% 7.65/5.25 tff(1574,plain,
% 7.65/5.25 (v101(constB176)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1573, 1572, 1550])).
% 7.65/5.25 tff(1575,plain,
% 7.65/5.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1576,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1577,plain,
% 7.65/5.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175))),
% 7.65/5.25 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 7.65/5.25 tff(1578,plain,
% 7.65/5.25 (v110(constB176) <=> v108(constB175)),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1577, 1539, 518])).
% 7.65/5.25 tff(1579,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB175) <=> (v111(constB175) | v112(constB175)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1580,plain,
% 7.65/5.25 (v108(constB175) <=> (v111(constB175) | v112(constB175))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1579, 529])).
% 7.65/5.25 tff(1581,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1582,plain,
% 7.65/5.25 (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175))))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1581, 541])).
% 7.65/5.25 tff(1583,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB175) <=> (v114(constB175) | v125(constB175)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1584,plain,
% 7.65/5.25 (v113(constB175) <=> (v114(constB175) | v125(constB175))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1583, 550])).
% 7.65/5.25 tff(1585,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB175) <=> (v115(constB175) | v124(constB175)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1586,plain,
% 7.65/5.25 (v114(constB175) <=> (v115(constB175) | v124(constB175))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1585, 559])).
% 7.65/5.25 tff(1587,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB175) <=> (v116(constB175) | v123(constB175)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1588,plain,
% 7.65/5.25 (v115(constB175) <=> (v116(constB175) | v123(constB175))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1587, 568])).
% 7.65/5.25 tff(1589,plain,
% 7.65/5.25 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB175) <=> (v117(constB175) | v122(constB175)))),
% 7.65/5.25 inference(quant_inst,[status(thm)],[])).
% 7.65/5.25 tff(1590,plain,
% 7.65/5.25 (v116(constB175) <=> (v117(constB175) | v122(constB175))),
% 7.65/5.25 inference(unit_resolution,[status(thm)],[1589, 577])).
% 7.65/5.25 tff(1591,plain,
% 7.65/5.25 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1592,plain,
% 7.65/5.25 ((v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1))))) <=> (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 7.65/5.25 inference(rewrite,[status(thm)],[])).
% 7.65/5.25 tff(1593,plain,
% 7.65/5.25 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 7.65/5.26 inference(monotonicity,[status(thm)],[1592])).
% 7.65/5.26 tff(1594,plain,
% 7.65/5.26 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 7.65/5.26 inference(transitivity,[status(thm)],[1593, 1591])).
% 7.65/5.26 tff(1595,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1596,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 7.65/5.26 tff(1597,plain,
% 7.65/5.26 (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1596, 1025])).
% 7.65/5.26 tff(1598,plain,
% 7.65/5.26 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1599,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174')).
% 7.65/5.26 tff(1600,plain,
% 7.65/5.26 (nextState(constB174, constB175)),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 7.65/5.26 tff(1601,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1602,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1603,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 7.65/5.26 tff(1604,plain,
% 7.65/5.26 (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1603, 1600, 392])).
% 7.65/5.26 tff(1605,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1606,plain,
% 7.65/5.26 (((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175)))))) <=> ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1607,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))))),
% 7.65/5.26 inference(monotonicity,[status(thm)],[1606])).
% 7.65/5.26 tff(1608,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 7.65/5.26 inference(transitivity,[status(thm)],[1607, 1605])).
% 7.65/5.26 tff(1609,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1610,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 7.65/5.26 tff(1611,plain,
% 7.65/5.26 (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1610, 1600, 412])).
% 7.65/5.26 tff(1612,plain,
% 7.65/5.26 (((~v1(constB175)) | (~v102(constB175))) | v1(constB175)),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1613,plain,
% 7.65/5.26 ((~v1(constB175)) | (~v102(constB175))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1612, 1561])).
% 7.65/5.26 tff(1614,plain,
% 7.65/5.26 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175)) | (~((~v1(constB175)) | (~v102(constB175))))),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1615,plain,
% 7.65/5.26 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1614, 1613])).
% 7.65/5.26 tff(1616,plain,
% 7.65/5.26 (~v101(constB175)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1615, 1611])).
% 7.65/5.26 tff(1617,plain,
% 7.65/5.26 (((~v101(constB175)) | (~v110(constB175))) | v101(constB175)),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1618,plain,
% 7.65/5.26 ((~v101(constB175)) | (~v110(constB175))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1617, 1616])).
% 7.65/5.26 tff(1619,plain,
% 7.65/5.26 ((~(v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))) | (~v100(constB175)) | (~((~v101(constB175)) | (~v110(constB175))))),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1620,plain,
% 7.65/5.26 (~v100(constB175)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1619, 1618, 1604])).
% 7.65/5.26 tff(1621,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1622,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1623,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 7.65/5.26 tff(1624,plain,
% 7.65/5.26 (v100(constB175) | ![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1623, 1600, 441])).
% 7.65/5.26 tff(1625,plain,
% 7.65/5.26 (![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1624, 1620])).
% 7.65/5.26 tff(1626,plain,
% 7.65/5.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1627,plain,
% 7.65/5.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1628,plain,
% 7.65/5.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 7.65/5.26 tff(1629,plain,
% 7.65/5.26 (v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1628, 648, 1625])).
% 7.65/5.26 tff(1630,plain,
% 7.65/5.26 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1631,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173')).
% 7.65/5.26 tff(1632,plain,
% 7.65/5.26 (nextState(constB173, constB174)),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 7.65/5.26 tff(1633,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1634,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1635,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 7.65/5.26 tff(1636,plain,
% 7.65/5.26 (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1635, 1632, 392])).
% 7.65/5.26 tff(1637,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1638,plain,
% 7.65/5.26 (((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174)))))) <=> ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1639,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))))),
% 7.65/5.26 inference(monotonicity,[status(thm)],[1638])).
% 7.65/5.26 tff(1640,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 7.65/5.26 inference(transitivity,[status(thm)],[1639, 1637])).
% 7.65/5.26 tff(1641,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1642,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1641, 1640])).
% 7.65/5.26 tff(1643,plain,
% 7.65/5.26 (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1642, 1632, 412])).
% 7.65/5.26 tff(1644,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1645,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1646,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 7.65/5.26 tff(1647,plain,
% 7.65/5.26 ((~v102(constB174)) <=> v104(constB174)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1646, 1632, 474])).
% 7.65/5.26 tff(1648,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1649,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1650,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 7.65/5.26 tff(1651,plain,
% 7.65/5.26 (v104(constB174) <=> v1(constB173)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1650, 1632, 488])).
% 7.65/5.26 tff(1652,plain,
% 7.65/5.26 ((~v1(constB173)) <=> (~v1(constB173))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1653,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173')).
% 7.65/5.26 tff(1654,plain,
% 7.65/5.26 (~v1(constB173)),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 7.65/5.26 tff(1655,plain,
% 7.65/5.26 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174)) | v1(constB173)),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1656,plain,
% 7.65/5.26 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1655, 1654])).
% 7.65/5.26 tff(1657,plain,
% 7.65/5.26 (~v104(constB174)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1656, 1651])).
% 7.65/5.26 tff(1658,plain,
% 7.65/5.26 ((~((~v102(constB174)) <=> v104(constB174))) | v102(constB174) | v104(constB174)),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1659,plain,
% 7.65/5.26 (v102(constB174)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1658, 1657, 1647])).
% 7.65/5.26 tff(1660,plain,
% 7.65/5.26 (v1(constB174) <=> v1(constB174)),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1661,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174')).
% 7.65/5.26 tff(1662,plain,
% 7.65/5.26 (v1(constB174)),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 7.65/5.26 tff(1663,plain,
% 7.65/5.26 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v1(constB174)) | (~v102(constB174))),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1664,plain,
% 7.65/5.26 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v102(constB174))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1663, 1662])).
% 7.65/5.26 tff(1665,plain,
% 7.65/5.26 (~((~v1(constB174)) | (~v102(constB174)))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1664, 1659])).
% 7.65/5.26 tff(1666,plain,
% 7.65/5.26 ((~(v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))) | v101(constB174) | ((~v1(constB174)) | (~v102(constB174)))),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1667,plain,
% 7.65/5.26 (v101(constB174)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1666, 1665, 1643])).
% 7.65/5.26 tff(1668,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1669,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1670,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 7.65/5.26 tff(1671,plain,
% 7.65/5.26 (v110(constB174) <=> v108(constB173)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1670, 1632, 518])).
% 7.65/5.26 tff(1672,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB173) <=> (v111(constB173) | v112(constB173)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1673,plain,
% 7.65/5.26 (v108(constB173) <=> (v111(constB173) | v112(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1672, 529])).
% 7.65/5.26 tff(1674,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1675,plain,
% 7.65/5.26 (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173))))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1674, 541])).
% 7.65/5.26 tff(1676,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB173) <=> (v114(constB173) | v125(constB173)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1677,plain,
% 7.65/5.26 (v113(constB173) <=> (v114(constB173) | v125(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1676, 550])).
% 7.65/5.26 tff(1678,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB173) <=> (v115(constB173) | v124(constB173)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1679,plain,
% 7.65/5.26 (v114(constB173) <=> (v115(constB173) | v124(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1678, 559])).
% 7.65/5.26 tff(1680,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB173) <=> (v116(constB173) | v123(constB173)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1681,plain,
% 7.65/5.26 (v115(constB173) <=> (v116(constB173) | v123(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1680, 568])).
% 7.65/5.26 tff(1682,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB173) <=> (v117(constB173) | v122(constB173)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1683,plain,
% 7.65/5.26 (v116(constB173) <=> (v117(constB173) | v122(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1682, 577])).
% 7.65/5.26 tff(1684,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB173) <=> (v118(constB173) | v121(constB173)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1685,plain,
% 7.65/5.26 (v117(constB173) <=> (v118(constB173) | v121(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1684, 586])).
% 7.65/5.26 tff(1686,plain,
% 7.65/5.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0)))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1687,plain,
% 7.65/5.26 ((v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1))))) <=> (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1688,plain,
% 7.65/5.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0)))))),
% 7.65/5.26 inference(monotonicity,[status(thm)],[1687])).
% 7.65/5.26 tff(1689,plain,
% 7.65/5.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0)))))),
% 7.65/5.26 inference(transitivity,[status(thm)],[1688, 1686])).
% 7.65/5.26 tff(1690,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1691,plain,
% 7.65/5.26 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 7.65/5.26 tff(1692,plain,
% 7.65/5.26 (v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0)))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1691, 1133])).
% 7.65/5.26 tff(1693,plain,
% 7.65/5.26 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1694,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172')).
% 7.65/5.26 tff(1695,plain,
% 7.65/5.26 (nextState(constB172, constB173)),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 7.65/5.26 tff(1696,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1697,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1698,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1697, 1696])).
% 7.65/5.26 tff(1699,plain,
% 7.65/5.26 (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1698, 1695, 392])).
% 7.65/5.26 tff(1700,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1701,plain,
% 7.65/5.26 (((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173)))))) <=> ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1702,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))))),
% 7.65/5.26 inference(monotonicity,[status(thm)],[1701])).
% 7.65/5.26 tff(1703,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 7.65/5.26 inference(transitivity,[status(thm)],[1702, 1700])).
% 7.65/5.26 tff(1704,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1705,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 7.65/5.26 tff(1706,plain,
% 7.65/5.26 (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1705, 1695, 412])).
% 7.65/5.26 tff(1707,plain,
% 7.65/5.26 (((~v1(constB173)) | (~v102(constB173))) | v1(constB173)),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1708,plain,
% 7.65/5.26 ((~v1(constB173)) | (~v102(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1707, 1654])).
% 7.65/5.26 tff(1709,plain,
% 7.65/5.26 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173)) | (~((~v1(constB173)) | (~v102(constB173))))),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1710,plain,
% 7.65/5.26 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1709, 1708])).
% 7.65/5.26 tff(1711,plain,
% 7.65/5.26 (~v101(constB173)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1710, 1706])).
% 7.65/5.26 tff(1712,plain,
% 7.65/5.26 (((~v101(constB173)) | (~v110(constB173))) | v101(constB173)),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1713,plain,
% 7.65/5.26 ((~v101(constB173)) | (~v110(constB173))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1712, 1711])).
% 7.65/5.26 tff(1714,plain,
% 7.65/5.26 ((~(v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))) | (~v100(constB173)) | (~((~v101(constB173)) | (~v110(constB173))))),
% 7.65/5.26 inference(tautology,[status(thm)],[])).
% 7.65/5.26 tff(1715,plain,
% 7.65/5.26 (~v100(constB173)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1714, 1713, 1699])).
% 7.65/5.26 tff(1716,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B))))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1717,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B))))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1718,plain,
% 7.65/5.26 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 7.65/5.26 tff(1719,plain,
% 7.65/5.26 (v100(constB173) | ![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1718, 1695, 441])).
% 7.65/5.26 tff(1720,plain,
% 7.65/5.26 (![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1719, 1715])).
% 7.65/5.26 tff(1721,plain,
% 7.65/5.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)))),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1722,plain,
% 7.65/5.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)))),
% 7.65/5.26 inference(quant_inst,[status(thm)],[])).
% 7.65/5.26 tff(1723,plain,
% 7.65/5.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2))),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 7.65/5.26 tff(1724,plain,
% 7.65/5.26 (v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2)),
% 7.65/5.26 inference(unit_resolution,[status(thm)],[1723, 648, 1720])).
% 7.65/5.26 tff(1725,plain,
% 7.65/5.26 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 7.65/5.26 inference(rewrite,[status(thm)],[])).
% 7.65/5.26 tff(1726,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171')).
% 7.65/5.26 tff(1727,plain,
% 7.65/5.26 (nextState(constB171, constB172)),
% 7.65/5.26 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 7.65/5.26 tff(1728,plain,
% 7.65/5.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1729,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1730,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1729, 1728])).
% 7.65/5.27 tff(1731,plain,
% 7.65/5.27 (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1730, 1727, 392])).
% 7.65/5.27 tff(1732,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1733,plain,
% 7.65/5.27 (((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172)))))) <=> ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1734,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))))),
% 7.65/5.27 inference(monotonicity,[status(thm)],[1733])).
% 7.65/5.27 tff(1735,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 7.65/5.27 inference(transitivity,[status(thm)],[1734, 1732])).
% 7.65/5.27 tff(1736,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1737,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 7.65/5.27 tff(1738,plain,
% 7.65/5.27 (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1737, 1727, 412])).
% 7.65/5.27 tff(1739,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1740,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1741,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1740, 1739])).
% 7.65/5.27 tff(1742,plain,
% 7.65/5.27 ((~v102(constB172)) <=> v104(constB172)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1741, 1727, 474])).
% 7.65/5.27 tff(1743,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1744,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1745,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 7.65/5.27 tff(1746,plain,
% 7.65/5.27 (v104(constB172) <=> v1(constB171)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1745, 1727, 488])).
% 7.65/5.27 tff(1747,plain,
% 7.65/5.27 ((~v1(constB171)) <=> (~v1(constB171))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1748,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171')).
% 7.65/5.27 tff(1749,plain,
% 7.65/5.27 (~v1(constB171)),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 7.65/5.27 tff(1750,plain,
% 7.65/5.27 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172)) | v1(constB171)),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1751,plain,
% 7.65/5.27 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1750, 1749])).
% 7.65/5.27 tff(1752,plain,
% 7.65/5.27 (~v104(constB172)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1751, 1746])).
% 7.65/5.27 tff(1753,plain,
% 7.65/5.27 ((~((~v102(constB172)) <=> v104(constB172))) | v102(constB172) | v104(constB172)),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1754,plain,
% 7.65/5.27 (v102(constB172)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1753, 1752, 1742])).
% 7.65/5.27 tff(1755,plain,
% 7.65/5.27 (v1(constB172) <=> v1(constB172)),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1756,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172')).
% 7.65/5.27 tff(1757,plain,
% 7.65/5.27 (v1(constB172)),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 7.65/5.27 tff(1758,plain,
% 7.65/5.27 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v1(constB172)) | (~v102(constB172))),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1759,plain,
% 7.65/5.27 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v102(constB172))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1758, 1757])).
% 7.65/5.27 tff(1760,plain,
% 7.65/5.27 (~((~v1(constB172)) | (~v102(constB172)))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1759, 1754])).
% 7.65/5.27 tff(1761,plain,
% 7.65/5.27 ((~(v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))) | v101(constB172) | ((~v1(constB172)) | (~v102(constB172)))),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1762,plain,
% 7.65/5.27 (v101(constB172)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1761, 1760, 1738])).
% 7.65/5.27 tff(1763,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1764,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1765,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 7.65/5.27 tff(1766,plain,
% 7.65/5.27 (v110(constB172) <=> v108(constB171)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1765, 1727, 518])).
% 7.65/5.27 tff(1767,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB171) <=> (v111(constB171) | v112(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1768,plain,
% 7.65/5.27 (v108(constB171) <=> (v111(constB171) | v112(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1767, 529])).
% 7.65/5.27 tff(1769,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1770,plain,
% 7.65/5.27 (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1769, 541])).
% 7.65/5.27 tff(1771,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB171) <=> (v114(constB171) | v125(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1772,plain,
% 7.65/5.27 (v113(constB171) <=> (v114(constB171) | v125(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1771, 550])).
% 7.65/5.27 tff(1773,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB171) <=> (v115(constB171) | v124(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1774,plain,
% 7.65/5.27 (v114(constB171) <=> (v115(constB171) | v124(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1773, 559])).
% 7.65/5.27 tff(1775,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB171) <=> (v116(constB171) | v123(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1776,plain,
% 7.65/5.27 (v115(constB171) <=> (v116(constB171) | v123(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1775, 568])).
% 7.65/5.27 tff(1777,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB171) <=> (v117(constB171) | v122(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1778,plain,
% 7.65/5.27 (v116(constB171) <=> (v117(constB171) | v122(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1777, 577])).
% 7.65/5.27 tff(1779,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB171) <=> (v118(constB171) | v121(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1780,plain,
% 7.65/5.27 (v117(constB171) <=> (v118(constB171) | v121(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1779, 586])).
% 7.65/5.27 tff(1781,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB171) <=> (v119(constB171) | v120(constB171)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1782,plain,
% 7.65/5.27 (v118(constB171) <=> (v119(constB171) | v120(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1781, 595])).
% 7.65/5.27 tff(1783,plain,
% 7.65/5.27 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1784,plain,
% 7.65/5.27 ((v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0))))) <=> (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1785,plain,
% 7.65/5.27 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0))))))),
% 7.65/5.27 inference(monotonicity,[status(thm)],[1784])).
% 7.65/5.27 tff(1786,plain,
% 7.65/5.27 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0))))))),
% 7.65/5.27 inference(transitivity,[status(thm)],[1785, 1783])).
% 7.65/5.27 tff(1787,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1788,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 7.65/5.27 tff(1789,plain,
% 7.65/5.27 (v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1788, 610])).
% 7.65/5.27 tff(1790,plain,
% 7.65/5.27 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1791,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170')).
% 7.65/5.27 tff(1792,plain,
% 7.65/5.27 (nextState(constB170, constB171)),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 7.65/5.27 tff(1793,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1794,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1795,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 7.65/5.27 tff(1796,plain,
% 7.65/5.27 (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1795, 1792, 392])).
% 7.65/5.27 tff(1797,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1798,plain,
% 7.65/5.27 (((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1799,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))))),
% 7.65/5.27 inference(monotonicity,[status(thm)],[1798])).
% 7.65/5.27 tff(1800,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 7.65/5.27 inference(transitivity,[status(thm)],[1799, 1797])).
% 7.65/5.27 tff(1801,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1802,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 7.65/5.27 tff(1803,plain,
% 7.65/5.27 (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1802, 1792, 412])).
% 7.65/5.27 tff(1804,plain,
% 7.65/5.27 (((~v1(constB171)) | (~v102(constB171))) | v1(constB171)),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1805,plain,
% 7.65/5.27 ((~v1(constB171)) | (~v102(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1804, 1749])).
% 7.65/5.27 tff(1806,plain,
% 7.65/5.27 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171)) | (~((~v1(constB171)) | (~v102(constB171))))),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1807,plain,
% 7.65/5.27 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1806, 1805])).
% 7.65/5.27 tff(1808,plain,
% 7.65/5.27 (~v101(constB171)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1807, 1803])).
% 7.65/5.27 tff(1809,plain,
% 7.65/5.27 (((~v101(constB171)) | (~v110(constB171))) | v101(constB171)),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1810,plain,
% 7.65/5.27 ((~v101(constB171)) | (~v110(constB171))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1809, 1808])).
% 7.65/5.27 tff(1811,plain,
% 7.65/5.27 ((~(v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))) | (~v100(constB171)) | (~((~v101(constB171)) | (~v110(constB171))))),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1812,plain,
% 7.65/5.27 (~v100(constB171)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1811, 1810, 1796])).
% 7.65/5.27 tff(1813,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1814,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1815,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 7.65/5.27 tff(1816,plain,
% 7.65/5.27 (v100(constB171) | ![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1815, 1792, 441])).
% 7.65/5.27 tff(1817,plain,
% 7.65/5.27 (![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1816, 1812])).
% 7.65/5.27 tff(1818,plain,
% 7.65/5.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1819,plain,
% 7.65/5.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1820,plain,
% 7.65/5.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1819, 1818])).
% 7.65/5.27 tff(1821,plain,
% 7.65/5.27 (v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1820, 648, 1817])).
% 7.65/5.27 tff(1822,plain,
% 7.65/5.27 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1823,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169')).
% 7.65/5.27 tff(1824,plain,
% 7.65/5.27 (nextState(constB169, constB170)),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 7.65/5.27 tff(1825,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1826,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1827,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 7.65/5.27 tff(1828,plain,
% 7.65/5.27 (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1827, 1824, 392])).
% 7.65/5.27 tff(1829,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1830,plain,
% 7.65/5.27 (((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1831,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))))),
% 7.65/5.27 inference(monotonicity,[status(thm)],[1830])).
% 7.65/5.27 tff(1832,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 7.65/5.27 inference(transitivity,[status(thm)],[1831, 1829])).
% 7.65/5.27 tff(1833,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1834,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 7.65/5.27 tff(1835,plain,
% 7.65/5.27 (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1834, 1824, 412])).
% 7.65/5.27 tff(1836,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1837,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1838,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 7.65/5.27 tff(1839,plain,
% 7.65/5.27 ((~v102(constB170)) <=> v104(constB170)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1838, 1824, 474])).
% 7.65/5.27 tff(1840,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1841,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1842,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 7.65/5.27 tff(1843,plain,
% 7.65/5.27 (v104(constB170) <=> v1(constB169)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1842, 1824, 488])).
% 7.65/5.27 tff(1844,plain,
% 7.65/5.27 ((~v1(constB169)) <=> (~v1(constB169))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1845,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169')).
% 7.65/5.27 tff(1846,plain,
% 7.65/5.27 (~v1(constB169)),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 7.65/5.27 tff(1847,plain,
% 7.65/5.27 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170)) | v1(constB169)),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1848,plain,
% 7.65/5.27 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1847, 1846])).
% 7.65/5.27 tff(1849,plain,
% 7.65/5.27 (~v104(constB170)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1848, 1843])).
% 7.65/5.27 tff(1850,plain,
% 7.65/5.27 ((~((~v102(constB170)) <=> v104(constB170))) | v102(constB170) | v104(constB170)),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1851,plain,
% 7.65/5.27 (v102(constB170)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1850, 1849, 1839])).
% 7.65/5.27 tff(1852,plain,
% 7.65/5.27 (v1(constB170) <=> v1(constB170)),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1853,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170')).
% 7.65/5.27 tff(1854,plain,
% 7.65/5.27 (v1(constB170)),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 7.65/5.27 tff(1855,plain,
% 7.65/5.27 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v1(constB170)) | (~v102(constB170))),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1856,plain,
% 7.65/5.27 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v102(constB170))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1855, 1854])).
% 7.65/5.27 tff(1857,plain,
% 7.65/5.27 (~((~v1(constB170)) | (~v102(constB170)))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1856, 1851])).
% 7.65/5.27 tff(1858,plain,
% 7.65/5.27 ((~(v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))) | v101(constB170) | ((~v1(constB170)) | (~v102(constB170)))),
% 7.65/5.27 inference(tautology,[status(thm)],[])).
% 7.65/5.27 tff(1859,plain,
% 7.65/5.27 (v101(constB170)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1858, 1857, 1835])).
% 7.65/5.27 tff(1860,plain,
% 7.65/5.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1861,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1862,plain,
% 7.65/5.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 7.65/5.27 tff(1863,plain,
% 7.65/5.27 (v110(constB170) <=> v108(constB169)),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1862, 1824, 518])).
% 7.65/5.27 tff(1864,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB169) <=> (v111(constB169) | v112(constB169)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1865,plain,
% 7.65/5.27 (v108(constB169) <=> (v111(constB169) | v112(constB169))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1864, 529])).
% 7.65/5.27 tff(1866,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1867,plain,
% 7.65/5.27 (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169))))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1866, 541])).
% 7.65/5.27 tff(1868,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB169) <=> (v114(constB169) | v125(constB169)))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1869,plain,
% 7.65/5.27 (v113(constB169) <=> (v114(constB169) | v125(constB169))),
% 7.65/5.27 inference(unit_resolution,[status(thm)],[1868, 550])).
% 7.65/5.27 tff(1870,plain,
% 7.65/5.27 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1871,plain,
% 7.65/5.27 ((v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2))))) <=> (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 7.65/5.27 inference(rewrite,[status(thm)],[])).
% 7.65/5.27 tff(1872,plain,
% 7.65/5.27 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 7.65/5.27 inference(monotonicity,[status(thm)],[1871])).
% 7.65/5.27 tff(1873,plain,
% 7.65/5.27 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 7.65/5.27 inference(transitivity,[status(thm)],[1872, 1870])).
% 7.65/5.27 tff(1874,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))))),
% 7.65/5.27 inference(quant_inst,[status(thm)],[])).
% 7.65/5.27 tff(1875,plain,
% 7.65/5.27 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 7.65/5.27 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 7.65/5.28 tff(1876,plain,
% 7.65/5.28 (v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1875, 713])).
% 7.65/5.28 tff(1877,plain,
% 7.65/5.28 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1878,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168')).
% 7.65/5.28 tff(1879,plain,
% 7.65/5.28 (nextState(constB168, constB169)),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 7.65/5.28 tff(1880,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1881,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 7.65/5.28 inference(quant_inst,[status(thm)],[])).
% 7.65/5.28 tff(1882,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 7.65/5.28 tff(1883,plain,
% 7.65/5.28 (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1882, 1879, 392])).
% 7.65/5.28 tff(1884,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1885,plain,
% 7.65/5.28 (((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1886,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))))),
% 7.65/5.28 inference(monotonicity,[status(thm)],[1885])).
% 7.65/5.28 tff(1887,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 7.65/5.28 inference(transitivity,[status(thm)],[1886, 1884])).
% 7.65/5.28 tff(1888,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))),
% 7.65/5.28 inference(quant_inst,[status(thm)],[])).
% 7.65/5.28 tff(1889,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1888, 1887])).
% 7.65/5.28 tff(1890,plain,
% 7.65/5.28 (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1889, 1879, 412])).
% 7.65/5.28 tff(1891,plain,
% 7.65/5.28 (((~v1(constB169)) | (~v102(constB169))) | v1(constB169)),
% 7.65/5.28 inference(tautology,[status(thm)],[])).
% 7.65/5.28 tff(1892,plain,
% 7.65/5.28 ((~v1(constB169)) | (~v102(constB169))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1891, 1846])).
% 7.65/5.28 tff(1893,plain,
% 7.65/5.28 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169)) | (~((~v1(constB169)) | (~v102(constB169))))),
% 7.65/5.28 inference(tautology,[status(thm)],[])).
% 7.65/5.28 tff(1894,plain,
% 7.65/5.28 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1893, 1892])).
% 7.65/5.28 tff(1895,plain,
% 7.65/5.28 (~v101(constB169)),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1894, 1890])).
% 7.65/5.28 tff(1896,plain,
% 7.65/5.28 (((~v101(constB169)) | (~v110(constB169))) | v101(constB169)),
% 7.65/5.28 inference(tautology,[status(thm)],[])).
% 7.65/5.28 tff(1897,plain,
% 7.65/5.28 ((~v101(constB169)) | (~v110(constB169))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1896, 1895])).
% 7.65/5.28 tff(1898,plain,
% 7.65/5.28 ((~(v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))) | (~v100(constB169)) | (~((~v101(constB169)) | (~v110(constB169))))),
% 7.65/5.28 inference(tautology,[status(thm)],[])).
% 7.65/5.28 tff(1899,plain,
% 7.65/5.28 (~v100(constB169)),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1898, 1897, 1883])).
% 7.65/5.28 tff(1900,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B))))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1901,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B))))),
% 7.65/5.28 inference(quant_inst,[status(thm)],[])).
% 7.65/5.28 tff(1902,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 7.65/5.28 tff(1903,plain,
% 7.65/5.28 (v100(constB169) | ![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1902, 1879, 441])).
% 7.65/5.28 tff(1904,plain,
% 7.65/5.28 (![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1903, 1899])).
% 7.65/5.28 tff(1905,plain,
% 7.65/5.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1906,plain,
% 7.65/5.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)))),
% 7.65/5.28 inference(quant_inst,[status(thm)],[])).
% 7.65/5.28 tff(1907,plain,
% 7.65/5.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2))),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 7.65/5.28 tff(1908,plain,
% 7.65/5.28 (v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2)),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1907, 648, 1904])).
% 7.65/5.28 tff(1909,plain,
% 7.65/5.28 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1910,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167')).
% 7.65/5.28 tff(1911,plain,
% 7.65/5.28 (nextState(constB167, constB168)),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1910, 1909])).
% 7.65/5.28 tff(1912,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1913,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 7.65/5.28 inference(quant_inst,[status(thm)],[])).
% 7.65/5.28 tff(1914,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1913, 1912])).
% 7.65/5.28 tff(1915,plain,
% 7.65/5.28 (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1914, 1911, 392])).
% 7.65/5.28 tff(1916,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1917,plain,
% 7.65/5.28 (((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1918,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))))),
% 7.65/5.28 inference(monotonicity,[status(thm)],[1917])).
% 7.65/5.28 tff(1919,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 7.65/5.28 inference(transitivity,[status(thm)],[1918, 1916])).
% 7.65/5.28 tff(1920,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))),
% 7.65/5.28 inference(quant_inst,[status(thm)],[])).
% 7.65/5.28 tff(1921,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 7.65/5.28 tff(1922,plain,
% 7.65/5.28 (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1921, 1911, 412])).
% 7.65/5.28 tff(1923,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1924,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))),
% 7.65/5.28 inference(quant_inst,[status(thm)],[])).
% 7.65/5.28 tff(1925,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168))),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1924, 1923])).
% 7.65/5.28 tff(1926,plain,
% 7.65/5.28 ((~v102(constB168)) <=> v104(constB168)),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1925, 1911, 474])).
% 7.65/5.28 tff(1927,plain,
% 7.65/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1928,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 7.65/5.28 inference(quant_inst,[status(thm)],[])).
% 7.65/5.28 tff(1929,plain,
% 7.65/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167))),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 7.65/5.28 tff(1930,plain,
% 7.65/5.28 (v104(constB168) <=> v1(constB167)),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1929, 1911, 488])).
% 7.65/5.28 tff(1931,plain,
% 7.65/5.28 ((~v1(constB167)) <=> (~v1(constB167))),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1932,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167')).
% 7.65/5.28 tff(1933,plain,
% 7.65/5.28 (~v1(constB167)),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 7.65/5.28 tff(1934,plain,
% 7.65/5.28 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168)) | v1(constB167)),
% 7.65/5.28 inference(tautology,[status(thm)],[])).
% 7.65/5.28 tff(1935,plain,
% 7.65/5.28 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168))),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1934, 1933])).
% 7.65/5.28 tff(1936,plain,
% 7.65/5.28 (~v104(constB168)),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1935, 1930])).
% 7.65/5.28 tff(1937,plain,
% 7.65/5.28 ((~((~v102(constB168)) <=> v104(constB168))) | v102(constB168) | v104(constB168)),
% 7.65/5.28 inference(tautology,[status(thm)],[])).
% 7.65/5.28 tff(1938,plain,
% 7.65/5.28 (v102(constB168)),
% 7.65/5.28 inference(unit_resolution,[status(thm)],[1937, 1936, 1926])).
% 7.65/5.28 tff(1939,plain,
% 7.65/5.28 (v1(constB168) <=> v1(constB168)),
% 7.65/5.28 inference(rewrite,[status(thm)],[])).
% 7.65/5.28 tff(1940,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168')).
% 7.65/5.28 tff(1941,plain,
% 7.65/5.28 (v1(constB168)),
% 7.65/5.28 inference(modus_ponens,[status(thm)],[1940, 1939])).
% 7.65/5.28 tff(1942,plain,
% 7.65/5.28 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v1(constB168)) | (~v102(constB168))),
% 7.71/5.28 inference(tautology,[status(thm)],[])).
% 7.71/5.28 tff(1943,plain,
% 7.71/5.28 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v102(constB168))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1942, 1941])).
% 7.71/5.28 tff(1944,plain,
% 7.71/5.28 (~((~v1(constB168)) | (~v102(constB168)))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1943, 1938])).
% 7.71/5.28 tff(1945,plain,
% 7.71/5.28 ((~(v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))) | v101(constB168) | ((~v1(constB168)) | (~v102(constB168)))),
% 7.71/5.28 inference(tautology,[status(thm)],[])).
% 7.71/5.28 tff(1946,plain,
% 7.71/5.28 (v101(constB168)),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1945, 1944, 1922])).
% 7.71/5.28 tff(1947,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1948,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1949,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 7.71/5.28 tff(1950,plain,
% 7.71/5.28 (v110(constB168) <=> v108(constB167)),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1949, 1911, 518])).
% 7.71/5.28 tff(1951,plain,
% 7.71/5.28 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB167) <=> (v111(constB167) | v112(constB167)))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1952,plain,
% 7.71/5.28 (v108(constB167) <=> (v111(constB167) | v112(constB167))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1951, 529])).
% 7.71/5.28 tff(1953,plain,
% 7.71/5.28 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1954,plain,
% 7.71/5.28 (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167))))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1953, 541])).
% 7.71/5.28 tff(1955,plain,
% 7.71/5.28 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB167) <=> (v114(constB167) | v125(constB167)))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1956,plain,
% 7.71/5.28 (v113(constB167) <=> (v114(constB167) | v125(constB167))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1955, 550])).
% 7.71/5.28 tff(1957,plain,
% 7.71/5.28 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB167) <=> (v115(constB167) | v124(constB167)))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1958,plain,
% 7.71/5.28 (v114(constB167) <=> (v115(constB167) | v124(constB167))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1957, 559])).
% 7.71/5.28 tff(1959,plain,
% 7.71/5.28 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1960,plain,
% 7.71/5.28 ((v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2))))) <=> (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1961,plain,
% 7.71/5.28 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))))),
% 7.71/5.28 inference(monotonicity,[status(thm)],[1960])).
% 7.71/5.28 tff(1962,plain,
% 7.71/5.28 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))))),
% 7.71/5.28 inference(transitivity,[status(thm)],[1961, 1959])).
% 7.71/5.28 tff(1963,plain,
% 7.71/5.28 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2)))))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1964,plain,
% 7.71/5.28 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 7.71/5.28 tff(1965,plain,
% 7.71/5.28 (v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1964, 815])).
% 7.71/5.28 tff(1966,plain,
% 7.71/5.28 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1967,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166')).
% 7.71/5.28 tff(1968,plain,
% 7.71/5.28 (nextState(constB166, constB167)),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 7.71/5.28 tff(1969,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1970,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1971,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[1970, 1969])).
% 7.71/5.28 tff(1972,plain,
% 7.71/5.28 (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1971, 1968, 392])).
% 7.71/5.28 tff(1973,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1974,plain,
% 7.71/5.28 (((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167)))))) <=> ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1975,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))))),
% 7.71/5.28 inference(monotonicity,[status(thm)],[1974])).
% 7.71/5.28 tff(1976,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 7.71/5.28 inference(transitivity,[status(thm)],[1975, 1973])).
% 7.71/5.28 tff(1977,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1978,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 7.71/5.28 tff(1979,plain,
% 7.71/5.28 (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1978, 1968, 412])).
% 7.71/5.28 tff(1980,plain,
% 7.71/5.28 (((~v1(constB167)) | (~v102(constB167))) | v1(constB167)),
% 7.71/5.28 inference(tautology,[status(thm)],[])).
% 7.71/5.28 tff(1981,plain,
% 7.71/5.28 ((~v1(constB167)) | (~v102(constB167))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1980, 1933])).
% 7.71/5.28 tff(1982,plain,
% 7.71/5.28 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167)) | (~((~v1(constB167)) | (~v102(constB167))))),
% 7.71/5.28 inference(tautology,[status(thm)],[])).
% 7.71/5.28 tff(1983,plain,
% 7.71/5.28 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1982, 1981])).
% 7.71/5.28 tff(1984,plain,
% 7.71/5.28 (~v101(constB167)),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1983, 1979])).
% 7.71/5.28 tff(1985,plain,
% 7.71/5.28 (((~v101(constB167)) | (~v110(constB167))) | v101(constB167)),
% 7.71/5.28 inference(tautology,[status(thm)],[])).
% 7.71/5.28 tff(1986,plain,
% 7.71/5.28 ((~v101(constB167)) | (~v110(constB167))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1985, 1984])).
% 7.71/5.28 tff(1987,plain,
% 7.71/5.28 ((~(v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))) | (~v100(constB167)) | (~((~v101(constB167)) | (~v110(constB167))))),
% 7.71/5.28 inference(tautology,[status(thm)],[])).
% 7.71/5.28 tff(1988,plain,
% 7.71/5.28 (~v100(constB167)),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1987, 1986, 1972])).
% 7.71/5.28 tff(1989,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1990,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B))))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1991,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 7.71/5.28 tff(1992,plain,
% 7.71/5.28 (v100(constB167) | ![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1991, 1968, 441])).
% 7.71/5.28 tff(1993,plain,
% 7.71/5.28 (![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1992, 1988])).
% 7.71/5.28 tff(1994,plain,
% 7.71/5.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1995,plain,
% 7.71/5.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(1996,plain,
% 7.71/5.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 7.71/5.28 tff(1997,plain,
% 7.71/5.28 (v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2)),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[1996, 648, 1993])).
% 7.71/5.28 tff(1998,plain,
% 7.71/5.28 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(1999,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165')).
% 7.71/5.28 tff(2000,plain,
% 7.71/5.28 (nextState(constB165, constB166)),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 7.71/5.28 tff(2001,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(2002,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(2003,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[2002, 2001])).
% 7.71/5.28 tff(2004,plain,
% 7.71/5.28 (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[2003, 2000, 392])).
% 7.71/5.28 tff(2005,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(2006,plain,
% 7.71/5.28 (((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166)))))) <=> ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(2007,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))))),
% 7.71/5.28 inference(monotonicity,[status(thm)],[2006])).
% 7.71/5.28 tff(2008,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 7.71/5.28 inference(transitivity,[status(thm)],[2007, 2005])).
% 7.71/5.28 tff(2009,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(2010,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 7.71/5.28 tff(2011,plain,
% 7.71/5.28 (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[2010, 2000, 412])).
% 7.71/5.28 tff(2012,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(2013,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(2014,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166))),
% 7.71/5.28 inference(modus_ponens,[status(thm)],[2013, 2012])).
% 7.71/5.28 tff(2015,plain,
% 7.71/5.28 ((~v102(constB166)) <=> v104(constB166)),
% 7.71/5.28 inference(unit_resolution,[status(thm)],[2014, 2000, 474])).
% 7.71/5.28 tff(2016,plain,
% 7.71/5.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 7.71/5.28 inference(rewrite,[status(thm)],[])).
% 7.71/5.28 tff(2017,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 7.71/5.28 inference(quant_inst,[status(thm)],[])).
% 7.71/5.28 tff(2018,plain,
% 7.71/5.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 7.71/5.29 tff(2019,plain,
% 7.71/5.29 (v104(constB166) <=> v1(constB165)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2018, 2000, 488])).
% 7.71/5.29 tff(2020,plain,
% 7.71/5.29 ((~v1(constB165)) <=> (~v1(constB165))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2021,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165')).
% 7.71/5.29 tff(2022,plain,
% 7.71/5.29 (~v1(constB165)),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2021, 2020])).
% 7.71/5.29 tff(2023,plain,
% 7.71/5.29 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166)) | v1(constB165)),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2024,plain,
% 7.71/5.29 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2023, 2022])).
% 7.71/5.29 tff(2025,plain,
% 7.71/5.29 (~v104(constB166)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2024, 2019])).
% 7.71/5.29 tff(2026,plain,
% 7.71/5.29 ((~((~v102(constB166)) <=> v104(constB166))) | v102(constB166) | v104(constB166)),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2027,plain,
% 7.71/5.29 (v102(constB166)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2026, 2025, 2015])).
% 7.71/5.29 tff(2028,plain,
% 7.71/5.29 (v1(constB166) <=> v1(constB166)),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2029,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166')).
% 7.71/5.29 tff(2030,plain,
% 7.71/5.29 (v1(constB166)),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 7.71/5.29 tff(2031,plain,
% 7.71/5.29 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v1(constB166)) | (~v102(constB166))),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2032,plain,
% 7.71/5.29 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v102(constB166))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2031, 2030])).
% 7.71/5.29 tff(2033,plain,
% 7.71/5.29 (~((~v1(constB166)) | (~v102(constB166)))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2032, 2027])).
% 7.71/5.29 tff(2034,plain,
% 7.71/5.29 ((~(v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))) | v101(constB166) | ((~v1(constB166)) | (~v102(constB166)))),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2035,plain,
% 7.71/5.29 (v101(constB166)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2034, 2033, 2011])).
% 7.71/5.29 tff(2036,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2037,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2038,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2037, 2036])).
% 7.71/5.29 tff(2039,plain,
% 7.71/5.29 (v110(constB166) <=> v108(constB165)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2038, 2000, 518])).
% 7.71/5.29 tff(2040,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB165) <=> (v111(constB165) | v112(constB165)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2041,plain,
% 7.71/5.29 (v108(constB165) <=> (v111(constB165) | v112(constB165))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2040, 529])).
% 7.71/5.29 tff(2042,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2043,plain,
% 7.71/5.29 (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2042, 541])).
% 7.71/5.29 tff(2044,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB165) <=> (v114(constB165) | v125(constB165)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2045,plain,
% 7.71/5.29 (v113(constB165) <=> (v114(constB165) | v125(constB165))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2044, 550])).
% 7.71/5.29 tff(2046,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB165) <=> (v115(constB165) | v124(constB165)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2047,plain,
% 7.71/5.29 (v114(constB165) <=> (v115(constB165) | v124(constB165))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2046, 559])).
% 7.71/5.29 tff(2048,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB165) <=> (v116(constB165) | v123(constB165)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2049,plain,
% 7.71/5.29 (v115(constB165) <=> (v116(constB165) | v123(constB165))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2048, 568])).
% 7.71/5.29 tff(2050,plain,
% 7.71/5.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2051,plain,
% 7.71/5.29 ((v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2))))) <=> (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2052,plain,
% 7.71/5.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))))),
% 7.71/5.29 inference(monotonicity,[status(thm)],[2051])).
% 7.71/5.29 tff(2053,plain,
% 7.71/5.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))))),
% 7.71/5.29 inference(transitivity,[status(thm)],[2052, 2050])).
% 7.71/5.29 tff(2054,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2055,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2054, 2053])).
% 7.71/5.29 tff(2056,plain,
% 7.71/5.29 (v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2055, 919])).
% 7.71/5.29 tff(2057,plain,
% 7.71/5.29 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2058,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164')).
% 7.71/5.29 tff(2059,plain,
% 7.71/5.29 (nextState(constB164, constB165)),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 7.71/5.29 tff(2060,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2061,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2062,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 7.71/5.29 tff(2063,plain,
% 7.71/5.29 (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2062, 2059, 392])).
% 7.71/5.29 tff(2064,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2065,plain,
% 7.71/5.29 (((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165)))))) <=> ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2066,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))))),
% 7.71/5.29 inference(monotonicity,[status(thm)],[2065])).
% 7.71/5.29 tff(2067,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 7.71/5.29 inference(transitivity,[status(thm)],[2066, 2064])).
% 7.71/5.29 tff(2068,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2069,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 7.71/5.29 tff(2070,plain,
% 7.71/5.29 (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2069, 2059, 412])).
% 7.71/5.29 tff(2071,plain,
% 7.71/5.29 (((~v1(constB165)) | (~v102(constB165))) | v1(constB165)),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2072,plain,
% 7.71/5.29 ((~v1(constB165)) | (~v102(constB165))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2071, 2022])).
% 7.71/5.29 tff(2073,plain,
% 7.71/5.29 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165)) | (~((~v1(constB165)) | (~v102(constB165))))),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2074,plain,
% 7.71/5.29 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2073, 2072])).
% 7.71/5.29 tff(2075,plain,
% 7.71/5.29 (~v101(constB165)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2074, 2070])).
% 7.71/5.29 tff(2076,plain,
% 7.71/5.29 (((~v101(constB165)) | (~v110(constB165))) | v101(constB165)),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2077,plain,
% 7.71/5.29 ((~v101(constB165)) | (~v110(constB165))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2076, 2075])).
% 7.71/5.29 tff(2078,plain,
% 7.71/5.29 ((~(v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))) | (~v100(constB165)) | (~((~v101(constB165)) | (~v110(constB165))))),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2079,plain,
% 7.71/5.29 (~v100(constB165)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2078, 2077, 2063])).
% 7.71/5.29 tff(2080,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2081,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2082,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2081, 2080])).
% 7.71/5.29 tff(2083,plain,
% 7.71/5.29 (v100(constB165) | ![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2082, 2059, 441])).
% 7.71/5.29 tff(2084,plain,
% 7.71/5.29 (![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2083, 2079])).
% 7.71/5.29 tff(2085,plain,
% 7.71/5.29 (((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2086,plain,
% 7.71/5.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2087,plain,
% 7.71/5.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2086, 2085])).
% 7.71/5.29 tff(2088,plain,
% 7.71/5.29 (v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2087, 648, 2084])).
% 7.71/5.29 tff(2089,plain,
% 7.71/5.29 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2090,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163')).
% 7.71/5.29 tff(2091,plain,
% 7.71/5.29 (nextState(constB163, constB164)),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 7.71/5.29 tff(2092,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2093,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2094,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2093, 2092])).
% 7.71/5.29 tff(2095,plain,
% 7.71/5.29 (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2094, 2091, 392])).
% 7.71/5.29 tff(2096,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2097,plain,
% 7.71/5.29 (((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164)))))) <=> ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2098,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))))),
% 7.71/5.29 inference(monotonicity,[status(thm)],[2097])).
% 7.71/5.29 tff(2099,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 7.71/5.29 inference(transitivity,[status(thm)],[2098, 2096])).
% 7.71/5.29 tff(2100,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2101,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 7.71/5.29 tff(2102,plain,
% 7.71/5.29 (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2101, 2091, 412])).
% 7.71/5.29 tff(2103,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2104,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2105,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 7.71/5.29 tff(2106,plain,
% 7.71/5.29 ((~v102(constB164)) <=> v104(constB164)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2105, 2091, 474])).
% 7.71/5.29 tff(2107,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2108,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2109,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 7.71/5.29 tff(2110,plain,
% 7.71/5.29 (v104(constB164) <=> v1(constB163)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2109, 2091, 488])).
% 7.71/5.29 tff(2111,plain,
% 7.71/5.29 ((~v1(constB163)) <=> (~v1(constB163))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2112,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163')).
% 7.71/5.29 tff(2113,plain,
% 7.71/5.29 (~v1(constB163)),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 7.71/5.29 tff(2114,plain,
% 7.71/5.29 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164)) | v1(constB163)),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2115,plain,
% 7.71/5.29 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2114, 2113])).
% 7.71/5.29 tff(2116,plain,
% 7.71/5.29 (~v104(constB164)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2115, 2110])).
% 7.71/5.29 tff(2117,plain,
% 7.71/5.29 ((~((~v102(constB164)) <=> v104(constB164))) | v102(constB164) | v104(constB164)),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2118,plain,
% 7.71/5.29 (v102(constB164)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2117, 2116, 2106])).
% 7.71/5.29 tff(2119,plain,
% 7.71/5.29 (v1(constB164) <=> v1(constB164)),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2120,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164')).
% 7.71/5.29 tff(2121,plain,
% 7.71/5.29 (v1(constB164)),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 7.71/5.29 tff(2122,plain,
% 7.71/5.29 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v1(constB164)) | (~v102(constB164))),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2123,plain,
% 7.71/5.29 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v102(constB164))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2122, 2121])).
% 7.71/5.29 tff(2124,plain,
% 7.71/5.29 (~((~v1(constB164)) | (~v102(constB164)))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2123, 2118])).
% 7.71/5.29 tff(2125,plain,
% 7.71/5.29 ((~(v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))) | v101(constB164) | ((~v1(constB164)) | (~v102(constB164)))),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2126,plain,
% 7.71/5.29 (v101(constB164)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2125, 2124, 2102])).
% 7.71/5.29 tff(2127,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2128,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2129,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 7.71/5.29 tff(2130,plain,
% 7.71/5.29 (v110(constB164) <=> v108(constB163)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2129, 2091, 518])).
% 7.71/5.29 tff(2131,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB163) <=> (v111(constB163) | v112(constB163)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2132,plain,
% 7.71/5.29 (v108(constB163) <=> (v111(constB163) | v112(constB163))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2131, 529])).
% 7.71/5.29 tff(2133,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2134,plain,
% 7.71/5.29 (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2133, 541])).
% 7.71/5.29 tff(2135,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB163) <=> (v114(constB163) | v125(constB163)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2136,plain,
% 7.71/5.29 (v113(constB163) <=> (v114(constB163) | v125(constB163))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2135, 550])).
% 7.71/5.29 tff(2137,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB163) <=> (v115(constB163) | v124(constB163)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2138,plain,
% 7.71/5.29 (v114(constB163) <=> (v115(constB163) | v124(constB163))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2137, 559])).
% 7.71/5.29 tff(2139,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB163) <=> (v116(constB163) | v123(constB163)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2140,plain,
% 7.71/5.29 (v115(constB163) <=> (v116(constB163) | v123(constB163))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2139, 568])).
% 7.71/5.29 tff(2141,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB163) <=> (v117(constB163) | v122(constB163)))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2142,plain,
% 7.71/5.29 (v116(constB163) <=> (v117(constB163) | v122(constB163))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2141, 577])).
% 7.71/5.29 tff(2143,plain,
% 7.71/5.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2144,plain,
% 7.71/5.29 ((v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1))))) <=> (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2145,plain,
% 7.71/5.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))))),
% 7.71/5.29 inference(monotonicity,[status(thm)],[2144])).
% 7.71/5.29 tff(2146,plain,
% 7.71/5.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))))),
% 7.71/5.29 inference(transitivity,[status(thm)],[2145, 2143])).
% 7.71/5.29 tff(2147,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2148,plain,
% 7.71/5.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 7.71/5.29 tff(2149,plain,
% 7.71/5.29 (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2148, 1025])).
% 7.71/5.29 tff(2150,plain,
% 7.71/5.29 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2151,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162')).
% 7.71/5.29 tff(2152,plain,
% 7.71/5.29 (nextState(constB162, constB163)),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 7.71/5.29 tff(2153,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2154,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2155,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 7.71/5.29 tff(2156,plain,
% 7.71/5.29 (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2155, 2152, 392])).
% 7.71/5.29 tff(2157,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2158,plain,
% 7.71/5.29 (((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163)))))) <=> ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2159,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))))),
% 7.71/5.29 inference(monotonicity,[status(thm)],[2158])).
% 7.71/5.29 tff(2160,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 7.71/5.29 inference(transitivity,[status(thm)],[2159, 2157])).
% 7.71/5.29 tff(2161,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))),
% 7.71/5.29 inference(quant_inst,[status(thm)],[])).
% 7.71/5.29 tff(2162,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))),
% 7.71/5.29 inference(modus_ponens,[status(thm)],[2161, 2160])).
% 7.71/5.29 tff(2163,plain,
% 7.71/5.29 (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2162, 2152, 412])).
% 7.71/5.29 tff(2164,plain,
% 7.71/5.29 (((~v1(constB163)) | (~v102(constB163))) | v1(constB163)),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2165,plain,
% 7.71/5.29 ((~v1(constB163)) | (~v102(constB163))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2164, 2113])).
% 7.71/5.29 tff(2166,plain,
% 7.71/5.29 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163)) | (~((~v1(constB163)) | (~v102(constB163))))),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2167,plain,
% 7.71/5.29 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2166, 2165])).
% 7.71/5.29 tff(2168,plain,
% 7.71/5.29 (~v101(constB163)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2167, 2163])).
% 7.71/5.29 tff(2169,plain,
% 7.71/5.29 (((~v101(constB163)) | (~v110(constB163))) | v101(constB163)),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2170,plain,
% 7.71/5.29 ((~v101(constB163)) | (~v110(constB163))),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2169, 2168])).
% 7.71/5.29 tff(2171,plain,
% 7.71/5.29 ((~(v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))) | (~v100(constB163)) | (~((~v101(constB163)) | (~v110(constB163))))),
% 7.71/5.29 inference(tautology,[status(thm)],[])).
% 7.71/5.29 tff(2172,plain,
% 7.71/5.29 (~v100(constB163)),
% 7.71/5.29 inference(unit_resolution,[status(thm)],[2171, 2170, 2156])).
% 7.71/5.29 tff(2173,plain,
% 7.71/5.29 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B))))),
% 7.71/5.29 inference(rewrite,[status(thm)],[])).
% 7.71/5.29 tff(2174,plain,
% 7.71/5.29 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2175,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2174, 2173])).
% 7.71/5.30 tff(2176,plain,
% 7.71/5.30 (v100(constB163) | ![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2175, 2152, 441])).
% 7.71/5.30 tff(2177,plain,
% 7.71/5.30 (![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2176, 2172])).
% 7.71/5.30 tff(2178,plain,
% 7.71/5.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2179,plain,
% 7.71/5.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2180,plain,
% 7.71/5.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 7.71/5.30 tff(2181,plain,
% 7.71/5.30 (v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2180, 648, 2177])).
% 7.71/5.30 tff(2182,plain,
% 7.71/5.30 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2183,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161')).
% 7.71/5.30 tff(2184,plain,
% 7.71/5.30 (nextState(constB161, constB162)),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2183, 2182])).
% 7.71/5.30 tff(2185,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2186,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2187,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 7.71/5.30 tff(2188,plain,
% 7.71/5.30 (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2187, 2184, 392])).
% 7.71/5.30 tff(2189,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2190,plain,
% 7.71/5.30 (((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162)))))) <=> ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2191,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))))),
% 7.71/5.30 inference(monotonicity,[status(thm)],[2190])).
% 7.71/5.30 tff(2192,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 7.71/5.30 inference(transitivity,[status(thm)],[2191, 2189])).
% 7.71/5.30 tff(2193,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2194,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2193, 2192])).
% 7.71/5.30 tff(2195,plain,
% 7.71/5.30 (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2194, 2184, 412])).
% 7.71/5.30 tff(2196,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2197,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2198,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2197, 2196])).
% 7.71/5.30 tff(2199,plain,
% 7.71/5.30 ((~v102(constB162)) <=> v104(constB162)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2198, 2184, 474])).
% 7.71/5.30 tff(2200,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2201,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2202,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2201, 2200])).
% 7.71/5.30 tff(2203,plain,
% 7.71/5.30 (v104(constB162) <=> v1(constB161)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2202, 2184, 488])).
% 7.71/5.30 tff(2204,plain,
% 7.71/5.30 ((~v1(constB161)) <=> (~v1(constB161))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2205,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161')).
% 7.71/5.30 tff(2206,plain,
% 7.71/5.30 (~v1(constB161)),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2205, 2204])).
% 7.71/5.30 tff(2207,plain,
% 7.71/5.30 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162)) | v1(constB161)),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2208,plain,
% 7.71/5.30 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2207, 2206])).
% 7.71/5.30 tff(2209,plain,
% 7.71/5.30 (~v104(constB162)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2208, 2203])).
% 7.71/5.30 tff(2210,plain,
% 7.71/5.30 ((~((~v102(constB162)) <=> v104(constB162))) | v102(constB162) | v104(constB162)),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2211,plain,
% 7.71/5.30 (v102(constB162)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2210, 2209, 2199])).
% 7.71/5.30 tff(2212,plain,
% 7.71/5.30 (v1(constB162) <=> v1(constB162)),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2213,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162')).
% 7.71/5.30 tff(2214,plain,
% 7.71/5.30 (v1(constB162)),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 7.71/5.30 tff(2215,plain,
% 7.71/5.30 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v1(constB162)) | (~v102(constB162))),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2216,plain,
% 7.71/5.30 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v102(constB162))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2215, 2214])).
% 7.71/5.30 tff(2217,plain,
% 7.71/5.30 (~((~v1(constB162)) | (~v102(constB162)))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2216, 2211])).
% 7.71/5.30 tff(2218,plain,
% 7.71/5.30 ((~(v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))) | v101(constB162) | ((~v1(constB162)) | (~v102(constB162)))),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2219,plain,
% 7.71/5.30 (v101(constB162)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2218, 2217, 2195])).
% 7.71/5.30 tff(2220,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2221,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2222,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2221, 2220])).
% 7.71/5.30 tff(2223,plain,
% 7.71/5.30 (v110(constB162) <=> v108(constB161)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2222, 2184, 518])).
% 7.71/5.30 tff(2224,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB161) <=> (v111(constB161) | v112(constB161)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2225,plain,
% 7.71/5.30 (v108(constB161) <=> (v111(constB161) | v112(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2224, 529])).
% 7.71/5.30 tff(2226,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2227,plain,
% 7.71/5.30 (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161))))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2226, 541])).
% 7.71/5.30 tff(2228,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB161) <=> (v114(constB161) | v125(constB161)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2229,plain,
% 7.71/5.30 (v113(constB161) <=> (v114(constB161) | v125(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2228, 550])).
% 7.71/5.30 tff(2230,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB161) <=> (v115(constB161) | v124(constB161)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2231,plain,
% 7.71/5.30 (v114(constB161) <=> (v115(constB161) | v124(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2230, 559])).
% 7.71/5.30 tff(2232,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB161) <=> (v116(constB161) | v123(constB161)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2233,plain,
% 7.71/5.30 (v115(constB161) <=> (v116(constB161) | v123(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2232, 568])).
% 7.71/5.30 tff(2234,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB161) <=> (v117(constB161) | v122(constB161)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2235,plain,
% 7.71/5.30 (v116(constB161) <=> (v117(constB161) | v122(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2234, 577])).
% 7.71/5.30 tff(2236,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB161) <=> (v118(constB161) | v121(constB161)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2237,plain,
% 7.71/5.30 (v117(constB161) <=> (v118(constB161) | v121(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2236, 586])).
% 7.71/5.30 tff(2238,plain,
% 7.71/5.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0)))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2239,plain,
% 7.71/5.30 ((v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1))))) <=> (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2240,plain,
% 7.71/5.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0)))))),
% 7.71/5.30 inference(monotonicity,[status(thm)],[2239])).
% 7.71/5.30 tff(2241,plain,
% 7.71/5.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0)))))),
% 7.71/5.30 inference(transitivity,[status(thm)],[2240, 2238])).
% 7.71/5.30 tff(2242,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2243,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 7.71/5.30 tff(2244,plain,
% 7.71/5.30 (v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0)))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2243, 1133])).
% 7.71/5.30 tff(2245,plain,
% 7.71/5.30 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2246,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160')).
% 7.71/5.30 tff(2247,plain,
% 7.71/5.30 (nextState(constB160, constB161)),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 7.71/5.30 tff(2248,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2249,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2250,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2249, 2248])).
% 7.71/5.30 tff(2251,plain,
% 7.71/5.30 (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2250, 2247, 392])).
% 7.71/5.30 tff(2252,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2253,plain,
% 7.71/5.30 (((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161)))))) <=> ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2254,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))))),
% 7.71/5.30 inference(monotonicity,[status(thm)],[2253])).
% 7.71/5.30 tff(2255,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 7.71/5.30 inference(transitivity,[status(thm)],[2254, 2252])).
% 7.71/5.30 tff(2256,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2257,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 7.71/5.30 tff(2258,plain,
% 7.71/5.30 (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2257, 2247, 412])).
% 7.71/5.30 tff(2259,plain,
% 7.71/5.30 (((~v1(constB161)) | (~v102(constB161))) | v1(constB161)),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2260,plain,
% 7.71/5.30 ((~v1(constB161)) | (~v102(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2259, 2206])).
% 7.71/5.30 tff(2261,plain,
% 7.71/5.30 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161)) | (~((~v1(constB161)) | (~v102(constB161))))),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2262,plain,
% 7.71/5.30 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2261, 2260])).
% 7.71/5.30 tff(2263,plain,
% 7.71/5.30 (~v101(constB161)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2262, 2258])).
% 7.71/5.30 tff(2264,plain,
% 7.71/5.30 (((~v101(constB161)) | (~v110(constB161))) | v101(constB161)),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2265,plain,
% 7.71/5.30 ((~v101(constB161)) | (~v110(constB161))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2264, 2263])).
% 7.71/5.30 tff(2266,plain,
% 7.71/5.30 ((~(v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))) | (~v100(constB161)) | (~((~v101(constB161)) | (~v110(constB161))))),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2267,plain,
% 7.71/5.30 (~v100(constB161)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2266, 2265, 2251])).
% 7.71/5.30 tff(2268,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2269,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2270,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 7.71/5.30 tff(2271,plain,
% 7.71/5.30 (v100(constB161) | ![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2270, 2247, 441])).
% 7.71/5.30 tff(2272,plain,
% 7.71/5.30 (![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2271, 2267])).
% 7.71/5.30 tff(2273,plain,
% 7.71/5.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2274,plain,
% 7.71/5.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2275,plain,
% 7.71/5.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 7.71/5.30 tff(2276,plain,
% 7.71/5.30 (v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2275, 648, 2272])).
% 7.71/5.30 tff(2277,plain,
% 7.71/5.30 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2278,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159')).
% 7.71/5.30 tff(2279,plain,
% 7.71/5.30 (nextState(constB159, constB160)),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 7.71/5.30 tff(2280,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2281,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2282,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 7.71/5.30 tff(2283,plain,
% 7.71/5.30 (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2282, 2279, 392])).
% 7.71/5.30 tff(2284,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2285,plain,
% 7.71/5.30 (((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160)))))) <=> ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2286,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))))),
% 7.71/5.30 inference(monotonicity,[status(thm)],[2285])).
% 7.71/5.30 tff(2287,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 7.71/5.30 inference(transitivity,[status(thm)],[2286, 2284])).
% 7.71/5.30 tff(2288,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2289,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2288, 2287])).
% 7.71/5.30 tff(2290,plain,
% 7.71/5.30 (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2289, 2279, 412])).
% 7.71/5.30 tff(2291,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2292,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2293,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 7.71/5.30 tff(2294,plain,
% 7.71/5.30 ((~v102(constB160)) <=> v104(constB160)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2293, 2279, 474])).
% 7.71/5.30 tff(2295,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2296,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2297,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2296, 2295])).
% 7.71/5.30 tff(2298,plain,
% 7.71/5.30 (v104(constB160) <=> v1(constB159)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2297, 2279, 488])).
% 7.71/5.30 tff(2299,plain,
% 7.71/5.30 ((~v1(constB159)) <=> (~v1(constB159))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2300,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159')).
% 7.71/5.30 tff(2301,plain,
% 7.71/5.30 (~v1(constB159)),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2300, 2299])).
% 7.71/5.30 tff(2302,plain,
% 7.71/5.30 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160)) | v1(constB159)),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2303,plain,
% 7.71/5.30 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2302, 2301])).
% 7.71/5.30 tff(2304,plain,
% 7.71/5.30 (~v104(constB160)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2303, 2298])).
% 7.71/5.30 tff(2305,plain,
% 7.71/5.30 ((~((~v102(constB160)) <=> v104(constB160))) | v102(constB160) | v104(constB160)),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2306,plain,
% 7.71/5.30 (v102(constB160)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2305, 2304, 2294])).
% 7.71/5.30 tff(2307,plain,
% 7.71/5.30 (v1(constB160) <=> v1(constB160)),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2308,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160')).
% 7.71/5.30 tff(2309,plain,
% 7.71/5.30 (v1(constB160)),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 7.71/5.30 tff(2310,plain,
% 7.71/5.30 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v1(constB160)) | (~v102(constB160))),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2311,plain,
% 7.71/5.30 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v102(constB160))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2310, 2309])).
% 7.71/5.30 tff(2312,plain,
% 7.71/5.30 (~((~v1(constB160)) | (~v102(constB160)))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2311, 2306])).
% 7.71/5.30 tff(2313,plain,
% 7.71/5.30 ((~(v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))) | v101(constB160) | ((~v1(constB160)) | (~v102(constB160)))),
% 7.71/5.30 inference(tautology,[status(thm)],[])).
% 7.71/5.30 tff(2314,plain,
% 7.71/5.30 (v101(constB160)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2313, 2312, 2290])).
% 7.71/5.30 tff(2315,plain,
% 7.71/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 7.71/5.30 inference(rewrite,[status(thm)],[])).
% 7.71/5.30 tff(2316,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2317,plain,
% 7.71/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159))),
% 7.71/5.30 inference(modus_ponens,[status(thm)],[2316, 2315])).
% 7.71/5.30 tff(2318,plain,
% 7.71/5.30 (v110(constB160) <=> v108(constB159)),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2317, 2279, 518])).
% 7.71/5.30 tff(2319,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB159) <=> (v111(constB159) | v112(constB159)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2320,plain,
% 7.71/5.30 (v108(constB159) <=> (v111(constB159) | v112(constB159))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2319, 529])).
% 7.71/5.30 tff(2321,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2322,plain,
% 7.71/5.30 (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159))))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2321, 541])).
% 7.71/5.30 tff(2323,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB159) <=> (v114(constB159) | v125(constB159)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2324,plain,
% 7.71/5.30 (v113(constB159) <=> (v114(constB159) | v125(constB159))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2323, 550])).
% 7.71/5.30 tff(2325,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB159) <=> (v115(constB159) | v124(constB159)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2326,plain,
% 7.71/5.30 (v114(constB159) <=> (v115(constB159) | v124(constB159))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2325, 559])).
% 7.71/5.30 tff(2327,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB159) <=> (v116(constB159) | v123(constB159)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2328,plain,
% 7.71/5.30 (v115(constB159) <=> (v116(constB159) | v123(constB159))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2327, 568])).
% 7.71/5.30 tff(2329,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB159) <=> (v117(constB159) | v122(constB159)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2330,plain,
% 7.71/5.30 (v116(constB159) <=> (v117(constB159) | v122(constB159))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2329, 577])).
% 7.71/5.30 tff(2331,plain,
% 7.71/5.30 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB159) <=> (v118(constB159) | v121(constB159)))),
% 7.71/5.30 inference(quant_inst,[status(thm)],[])).
% 7.71/5.30 tff(2332,plain,
% 7.71/5.30 (v117(constB159) <=> (v118(constB159) | v121(constB159))),
% 7.71/5.30 inference(unit_resolution,[status(thm)],[2331, 586])).
% 7.71/5.31 tff(2333,plain,
% 7.71/5.31 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB159) <=> (v119(constB159) | v120(constB159)))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2334,plain,
% 7.71/5.31 (v118(constB159) <=> (v119(constB159) | v120(constB159))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2333, 595])).
% 7.71/5.31 tff(2335,plain,
% 7.71/5.31 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2336,plain,
% 7.71/5.31 ((v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0))))) <=> (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2337,plain,
% 7.71/5.31 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0))))))),
% 7.71/5.31 inference(monotonicity,[status(thm)],[2336])).
% 7.71/5.31 tff(2338,plain,
% 7.71/5.31 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0))))))),
% 7.71/5.31 inference(transitivity,[status(thm)],[2337, 2335])).
% 7.71/5.31 tff(2339,plain,
% 7.71/5.31 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2340,plain,
% 7.71/5.31 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 7.71/5.31 tff(2341,plain,
% 7.71/5.31 (v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2340, 610])).
% 7.71/5.31 tff(2342,plain,
% 7.71/5.31 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2343,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158')).
% 7.71/5.31 tff(2344,plain,
% 7.71/5.31 (nextState(constB158, constB159)),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 7.71/5.31 tff(2345,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2346,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2347,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 7.71/5.31 tff(2348,plain,
% 7.71/5.31 (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2347, 2344, 392])).
% 7.71/5.31 tff(2349,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2350,plain,
% 7.71/5.31 (((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2351,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))))),
% 7.71/5.31 inference(monotonicity,[status(thm)],[2350])).
% 7.71/5.31 tff(2352,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 7.71/5.31 inference(transitivity,[status(thm)],[2351, 2349])).
% 7.71/5.31 tff(2353,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2354,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2353, 2352])).
% 7.71/5.31 tff(2355,plain,
% 7.71/5.31 (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2354, 2344, 412])).
% 7.71/5.31 tff(2356,plain,
% 7.71/5.31 (((~v1(constB159)) | (~v102(constB159))) | v1(constB159)),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2357,plain,
% 7.71/5.31 ((~v1(constB159)) | (~v102(constB159))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2356, 2301])).
% 7.71/5.31 tff(2358,plain,
% 7.71/5.31 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159)) | (~((~v1(constB159)) | (~v102(constB159))))),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2359,plain,
% 7.71/5.31 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2358, 2357])).
% 7.71/5.31 tff(2360,plain,
% 7.71/5.31 (~v101(constB159)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2359, 2355])).
% 7.71/5.31 tff(2361,plain,
% 7.71/5.31 (((~v101(constB159)) | (~v110(constB159))) | v101(constB159)),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2362,plain,
% 7.71/5.31 ((~v101(constB159)) | (~v110(constB159))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2361, 2360])).
% 7.71/5.31 tff(2363,plain,
% 7.71/5.31 ((~(v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))) | (~v100(constB159)) | (~((~v101(constB159)) | (~v110(constB159))))),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2364,plain,
% 7.71/5.31 (~v100(constB159)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2363, 2362, 2348])).
% 7.71/5.31 tff(2365,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2366,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2367,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 7.71/5.31 tff(2368,plain,
% 7.71/5.31 (v100(constB159) | ![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2367, 2344, 441])).
% 7.71/5.31 tff(2369,plain,
% 7.71/5.31 (![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2368, 2364])).
% 7.71/5.31 tff(2370,plain,
% 7.71/5.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2371,plain,
% 7.71/5.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2372,plain,
% 7.71/5.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2371, 2370])).
% 7.71/5.31 tff(2373,plain,
% 7.71/5.31 (v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2372, 648, 2369])).
% 7.71/5.31 tff(2374,plain,
% 7.71/5.31 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2375,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157')).
% 7.71/5.31 tff(2376,plain,
% 7.71/5.31 (nextState(constB157, constB158)),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 7.71/5.31 tff(2377,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2378,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2379,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 7.71/5.31 tff(2380,plain,
% 7.71/5.31 (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2379, 2376, 392])).
% 7.71/5.31 tff(2381,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2382,plain,
% 7.71/5.31 (((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2383,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))))),
% 7.71/5.31 inference(monotonicity,[status(thm)],[2382])).
% 7.71/5.31 tff(2384,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 7.71/5.31 inference(transitivity,[status(thm)],[2383, 2381])).
% 7.71/5.31 tff(2385,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2386,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 7.71/5.31 tff(2387,plain,
% 7.71/5.31 (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2386, 2376, 412])).
% 7.71/5.31 tff(2388,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2389,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2390,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2389, 2388])).
% 7.71/5.31 tff(2391,plain,
% 7.71/5.31 ((~v102(constB158)) <=> v104(constB158)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2390, 2376, 474])).
% 7.71/5.31 tff(2392,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2393,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2394,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 7.71/5.31 tff(2395,plain,
% 7.71/5.31 (v104(constB158) <=> v1(constB157)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2394, 2376, 488])).
% 7.71/5.31 tff(2396,plain,
% 7.71/5.31 ((~v1(constB157)) <=> (~v1(constB157))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2397,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157')).
% 7.71/5.31 tff(2398,plain,
% 7.71/5.31 (~v1(constB157)),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 7.71/5.31 tff(2399,plain,
% 7.71/5.31 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158)) | v1(constB157)),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2400,plain,
% 7.71/5.31 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2399, 2398])).
% 7.71/5.31 tff(2401,plain,
% 7.71/5.31 (~v104(constB158)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2400, 2395])).
% 7.71/5.31 tff(2402,plain,
% 7.71/5.31 ((~((~v102(constB158)) <=> v104(constB158))) | v102(constB158) | v104(constB158)),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2403,plain,
% 7.71/5.31 (v102(constB158)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2402, 2401, 2391])).
% 7.71/5.31 tff(2404,plain,
% 7.71/5.31 (v1(constB158) <=> v1(constB158)),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2405,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158')).
% 7.71/5.31 tff(2406,plain,
% 7.71/5.31 (v1(constB158)),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 7.71/5.31 tff(2407,plain,
% 7.71/5.31 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v1(constB158)) | (~v102(constB158))),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2408,plain,
% 7.71/5.31 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v102(constB158))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2407, 2406])).
% 7.71/5.31 tff(2409,plain,
% 7.71/5.31 (~((~v1(constB158)) | (~v102(constB158)))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2408, 2403])).
% 7.71/5.31 tff(2410,plain,
% 7.71/5.31 ((~(v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))) | v101(constB158) | ((~v1(constB158)) | (~v102(constB158)))),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2411,plain,
% 7.71/5.31 (v101(constB158)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2410, 2409, 2387])).
% 7.71/5.31 tff(2412,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2413,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2414,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 7.71/5.31 tff(2415,plain,
% 7.71/5.31 (v110(constB158) <=> v108(constB157)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2414, 2376, 518])).
% 7.71/5.31 tff(2416,plain,
% 7.71/5.31 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB157) <=> (v111(constB157) | v112(constB157)))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2417,plain,
% 7.71/5.31 (v108(constB157) <=> (v111(constB157) | v112(constB157))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2416, 529])).
% 7.71/5.31 tff(2418,plain,
% 7.71/5.31 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2419,plain,
% 7.71/5.31 (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2418, 541])).
% 7.71/5.31 tff(2420,plain,
% 7.71/5.31 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB157) <=> (v114(constB157) | v125(constB157)))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2421,plain,
% 7.71/5.31 (v113(constB157) <=> (v114(constB157) | v125(constB157))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2420, 550])).
% 7.71/5.31 tff(2422,plain,
% 7.71/5.31 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2423,plain,
% 7.71/5.31 ((v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2))))) <=> (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2424,plain,
% 7.71/5.31 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))))),
% 7.71/5.31 inference(monotonicity,[status(thm)],[2423])).
% 7.71/5.31 tff(2425,plain,
% 7.71/5.31 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))))),
% 7.71/5.31 inference(transitivity,[status(thm)],[2424, 2422])).
% 7.71/5.31 tff(2426,plain,
% 7.71/5.31 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2427,plain,
% 7.71/5.31 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 7.71/5.31 tff(2428,plain,
% 7.71/5.31 (v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2427, 713])).
% 7.71/5.31 tff(2429,plain,
% 7.71/5.31 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2430,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156')).
% 7.71/5.31 tff(2431,plain,
% 7.71/5.31 (nextState(constB156, constB157)),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 7.71/5.31 tff(2432,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2433,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2434,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2433, 2432])).
% 7.71/5.31 tff(2435,plain,
% 7.71/5.31 (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2434, 2431, 392])).
% 7.71/5.31 tff(2436,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2437,plain,
% 7.71/5.31 (((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157)))))) <=> ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2438,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))))),
% 7.71/5.31 inference(monotonicity,[status(thm)],[2437])).
% 7.71/5.31 tff(2439,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 7.71/5.31 inference(transitivity,[status(thm)],[2438, 2436])).
% 7.71/5.31 tff(2440,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2441,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2440, 2439])).
% 7.71/5.31 tff(2442,plain,
% 7.71/5.31 (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2441, 2431, 412])).
% 7.71/5.31 tff(2443,plain,
% 7.71/5.31 (((~v1(constB157)) | (~v102(constB157))) | v1(constB157)),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2444,plain,
% 7.71/5.31 ((~v1(constB157)) | (~v102(constB157))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2443, 2398])).
% 7.71/5.31 tff(2445,plain,
% 7.71/5.31 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157)) | (~((~v1(constB157)) | (~v102(constB157))))),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2446,plain,
% 7.71/5.31 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2445, 2444])).
% 7.71/5.31 tff(2447,plain,
% 7.71/5.31 (~v101(constB157)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2446, 2442])).
% 7.71/5.31 tff(2448,plain,
% 7.71/5.31 (((~v101(constB157)) | (~v110(constB157))) | v101(constB157)),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2449,plain,
% 7.71/5.31 ((~v101(constB157)) | (~v110(constB157))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2448, 2447])).
% 7.71/5.31 tff(2450,plain,
% 7.71/5.31 ((~(v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))) | (~v100(constB157)) | (~((~v101(constB157)) | (~v110(constB157))))),
% 7.71/5.31 inference(tautology,[status(thm)],[])).
% 7.71/5.31 tff(2451,plain,
% 7.71/5.31 (~v100(constB157)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2450, 2449, 2435])).
% 7.71/5.31 tff(2452,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2453,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2454,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 7.71/5.31 tff(2455,plain,
% 7.71/5.31 (v100(constB157) | ![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2454, 2431, 441])).
% 7.71/5.31 tff(2456,plain,
% 7.71/5.31 (![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2455, 2451])).
% 7.71/5.31 tff(2457,plain,
% 7.71/5.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2458,plain,
% 7.71/5.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2459,plain,
% 7.71/5.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2458, 2457])).
% 7.71/5.31 tff(2460,plain,
% 7.71/5.31 (v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2)),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2459, 648, 2456])).
% 7.71/5.31 tff(2461,plain,
% 7.71/5.31 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2462,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155')).
% 7.71/5.31 tff(2463,plain,
% 7.71/5.31 (nextState(constB155, constB156)),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2462, 2461])).
% 7.71/5.31 tff(2464,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2465,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 7.71/5.31 inference(quant_inst,[status(thm)],[])).
% 7.71/5.31 tff(2466,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))),
% 7.71/5.31 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 7.71/5.31 tff(2467,plain,
% 7.71/5.31 (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))),
% 7.71/5.31 inference(unit_resolution,[status(thm)],[2466, 2463, 392])).
% 7.71/5.31 tff(2468,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2469,plain,
% 7.71/5.31 (((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156)))))) <=> ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 7.71/5.31 inference(rewrite,[status(thm)],[])).
% 7.71/5.31 tff(2470,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))))),
% 7.71/5.31 inference(monotonicity,[status(thm)],[2469])).
% 7.71/5.31 tff(2471,plain,
% 7.71/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 7.71/5.31 inference(transitivity,[status(thm)],[2470, 2468])).
% 7.71/5.31 tff(2472,plain,
% 7.71/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2473,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 7.71/5.32 tff(2474,plain,
% 7.71/5.32 (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2473, 2463, 412])).
% 7.71/5.32 tff(2475,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2476,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2477,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 7.71/5.32 tff(2478,plain,
% 7.71/5.32 ((~v102(constB156)) <=> v104(constB156)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2477, 2463, 474])).
% 7.71/5.32 tff(2479,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2480,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2481,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 7.71/5.32 tff(2482,plain,
% 7.71/5.32 (v104(constB156) <=> v1(constB155)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2481, 2463, 488])).
% 7.71/5.32 tff(2483,plain,
% 7.71/5.32 ((~v1(constB155)) <=> (~v1(constB155))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2484,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155')).
% 7.71/5.32 tff(2485,plain,
% 7.71/5.32 (~v1(constB155)),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2484, 2483])).
% 7.71/5.32 tff(2486,plain,
% 7.71/5.32 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156)) | v1(constB155)),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2487,plain,
% 7.71/5.32 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2486, 2485])).
% 7.71/5.32 tff(2488,plain,
% 7.71/5.32 (~v104(constB156)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2487, 2482])).
% 7.71/5.32 tff(2489,plain,
% 7.71/5.32 ((~((~v102(constB156)) <=> v104(constB156))) | v102(constB156) | v104(constB156)),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2490,plain,
% 7.71/5.32 (v102(constB156)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2489, 2488, 2478])).
% 7.71/5.32 tff(2491,plain,
% 7.71/5.32 (v1(constB156) <=> v1(constB156)),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2492,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156')).
% 7.71/5.32 tff(2493,plain,
% 7.71/5.32 (v1(constB156)),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 7.71/5.32 tff(2494,plain,
% 7.71/5.32 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v1(constB156)) | (~v102(constB156))),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2495,plain,
% 7.71/5.32 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v102(constB156))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2494, 2493])).
% 7.71/5.32 tff(2496,plain,
% 7.71/5.32 (~((~v1(constB156)) | (~v102(constB156)))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2495, 2490])).
% 7.71/5.32 tff(2497,plain,
% 7.71/5.32 ((~(v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))) | v101(constB156) | ((~v1(constB156)) | (~v102(constB156)))),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2498,plain,
% 7.71/5.32 (v101(constB156)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2497, 2496, 2474])).
% 7.71/5.32 tff(2499,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2500,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2501,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 7.71/5.32 tff(2502,plain,
% 7.71/5.32 (v110(constB156) <=> v108(constB155)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2501, 2463, 518])).
% 7.71/5.32 tff(2503,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB155) <=> (v111(constB155) | v112(constB155)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2504,plain,
% 7.71/5.32 (v108(constB155) <=> (v111(constB155) | v112(constB155))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2503, 529])).
% 7.71/5.32 tff(2505,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2506,plain,
% 7.71/5.32 (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2505, 541])).
% 7.71/5.32 tff(2507,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB155) <=> (v114(constB155) | v125(constB155)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2508,plain,
% 7.71/5.32 (v113(constB155) <=> (v114(constB155) | v125(constB155))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2507, 550])).
% 7.71/5.32 tff(2509,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB155) <=> (v115(constB155) | v124(constB155)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2510,plain,
% 7.71/5.32 (v114(constB155) <=> (v115(constB155) | v124(constB155))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2509, 559])).
% 7.71/5.32 tff(2511,plain,
% 7.71/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2512,plain,
% 7.71/5.32 ((v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2))))) <=> (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2513,plain,
% 7.71/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 7.71/5.32 inference(monotonicity,[status(thm)],[2512])).
% 7.71/5.32 tff(2514,plain,
% 7.71/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))))),
% 7.71/5.32 inference(transitivity,[status(thm)],[2513, 2511])).
% 7.71/5.32 tff(2515,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2516,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2515, 2514])).
% 7.71/5.32 tff(2517,plain,
% 7.71/5.32 (v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2516, 815])).
% 7.71/5.32 tff(2518,plain,
% 7.71/5.32 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2519,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154')).
% 7.71/5.32 tff(2520,plain,
% 7.71/5.32 (nextState(constB154, constB155)),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2519, 2518])).
% 7.71/5.32 tff(2521,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2522,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2523,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2522, 2521])).
% 7.71/5.32 tff(2524,plain,
% 7.71/5.32 (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2523, 2520, 392])).
% 7.71/5.32 tff(2525,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2526,plain,
% 7.71/5.32 (((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155)))))) <=> ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2527,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))))),
% 7.71/5.32 inference(monotonicity,[status(thm)],[2526])).
% 7.71/5.32 tff(2528,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 7.71/5.32 inference(transitivity,[status(thm)],[2527, 2525])).
% 7.71/5.32 tff(2529,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2530,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 7.71/5.32 tff(2531,plain,
% 7.71/5.32 (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2530, 2520, 412])).
% 7.71/5.32 tff(2532,plain,
% 7.71/5.32 (((~v1(constB155)) | (~v102(constB155))) | v1(constB155)),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2533,plain,
% 7.71/5.32 ((~v1(constB155)) | (~v102(constB155))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2532, 2485])).
% 7.71/5.32 tff(2534,plain,
% 7.71/5.32 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155)) | (~((~v1(constB155)) | (~v102(constB155))))),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2535,plain,
% 7.71/5.32 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2534, 2533])).
% 7.71/5.32 tff(2536,plain,
% 7.71/5.32 (~v101(constB155)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2535, 2531])).
% 7.71/5.32 tff(2537,plain,
% 7.71/5.32 (((~v101(constB155)) | (~v110(constB155))) | v101(constB155)),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2538,plain,
% 7.71/5.32 ((~v101(constB155)) | (~v110(constB155))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2537, 2536])).
% 7.71/5.32 tff(2539,plain,
% 7.71/5.32 ((~(v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))) | (~v100(constB155)) | (~((~v101(constB155)) | (~v110(constB155))))),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2540,plain,
% 7.71/5.32 (~v100(constB155)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2539, 2538, 2524])).
% 7.71/5.32 tff(2541,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2542,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2543,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2542, 2541])).
% 7.71/5.32 tff(2544,plain,
% 7.71/5.32 (v100(constB155) | ![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2543, 2520, 441])).
% 7.71/5.32 tff(2545,plain,
% 7.71/5.32 (![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2544, 2540])).
% 7.71/5.32 tff(2546,plain,
% 7.71/5.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2547,plain,
% 7.71/5.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2548,plain,
% 7.71/5.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 7.71/5.32 tff(2549,plain,
% 7.71/5.32 (v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2548, 648, 2545])).
% 7.71/5.32 tff(2550,plain,
% 7.71/5.32 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2551,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153')).
% 7.71/5.32 tff(2552,plain,
% 7.71/5.32 (nextState(constB153, constB154)),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 7.71/5.32 tff(2553,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2554,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2555,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 7.71/5.32 tff(2556,plain,
% 7.71/5.32 (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2555, 2552, 392])).
% 7.71/5.32 tff(2557,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2558,plain,
% 7.71/5.32 (((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154)))))) <=> ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2559,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))))),
% 7.71/5.32 inference(monotonicity,[status(thm)],[2558])).
% 7.71/5.32 tff(2560,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 7.71/5.32 inference(transitivity,[status(thm)],[2559, 2557])).
% 7.71/5.32 tff(2561,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2562,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2561, 2560])).
% 7.71/5.32 tff(2563,plain,
% 7.71/5.32 (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2562, 2552, 412])).
% 7.71/5.32 tff(2564,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2565,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2566,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2565, 2564])).
% 7.71/5.32 tff(2567,plain,
% 7.71/5.32 ((~v102(constB154)) <=> v104(constB154)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2566, 2552, 474])).
% 7.71/5.32 tff(2568,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2569,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2570,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2569, 2568])).
% 7.71/5.32 tff(2571,plain,
% 7.71/5.32 (v104(constB154) <=> v1(constB153)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2570, 2552, 488])).
% 7.71/5.32 tff(2572,plain,
% 7.71/5.32 ((~v1(constB153)) <=> (~v1(constB153))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2573,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153')).
% 7.71/5.32 tff(2574,plain,
% 7.71/5.32 (~v1(constB153)),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 7.71/5.32 tff(2575,plain,
% 7.71/5.32 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154)) | v1(constB153)),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2576,plain,
% 7.71/5.32 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2575, 2574])).
% 7.71/5.32 tff(2577,plain,
% 7.71/5.32 (~v104(constB154)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2576, 2571])).
% 7.71/5.32 tff(2578,plain,
% 7.71/5.32 ((~((~v102(constB154)) <=> v104(constB154))) | v102(constB154) | v104(constB154)),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2579,plain,
% 7.71/5.32 (v102(constB154)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2578, 2577, 2567])).
% 7.71/5.32 tff(2580,plain,
% 7.71/5.32 (v1(constB154) <=> v1(constB154)),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2581,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154')).
% 7.71/5.32 tff(2582,plain,
% 7.71/5.32 (v1(constB154)),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 7.71/5.32 tff(2583,plain,
% 7.71/5.32 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v1(constB154)) | (~v102(constB154))),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2584,plain,
% 7.71/5.32 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v102(constB154))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2583, 2582])).
% 7.71/5.32 tff(2585,plain,
% 7.71/5.32 (~((~v1(constB154)) | (~v102(constB154)))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2584, 2579])).
% 7.71/5.32 tff(2586,plain,
% 7.71/5.32 ((~(v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))) | v101(constB154) | ((~v1(constB154)) | (~v102(constB154)))),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.32 tff(2587,plain,
% 7.71/5.32 (v101(constB154)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2586, 2585, 2563])).
% 7.71/5.32 tff(2588,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2589,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2590,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 7.71/5.32 tff(2591,plain,
% 7.71/5.32 (v110(constB154) <=> v108(constB153)),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2590, 2552, 518])).
% 7.71/5.32 tff(2592,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB153) <=> (v111(constB153) | v112(constB153)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2593,plain,
% 7.71/5.32 (v108(constB153) <=> (v111(constB153) | v112(constB153))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2592, 529])).
% 7.71/5.32 tff(2594,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2595,plain,
% 7.71/5.32 (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2594, 541])).
% 7.71/5.32 tff(2596,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB153) <=> (v114(constB153) | v125(constB153)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2597,plain,
% 7.71/5.32 (v113(constB153) <=> (v114(constB153) | v125(constB153))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2596, 550])).
% 7.71/5.32 tff(2598,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB153) <=> (v115(constB153) | v124(constB153)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2599,plain,
% 7.71/5.32 (v114(constB153) <=> (v115(constB153) | v124(constB153))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2598, 559])).
% 7.71/5.32 tff(2600,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB153) <=> (v116(constB153) | v123(constB153)))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2601,plain,
% 7.71/5.32 (v115(constB153) <=> (v116(constB153) | v123(constB153))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2600, 568])).
% 7.71/5.32 tff(2602,plain,
% 7.71/5.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2603,plain,
% 7.71/5.32 ((v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))))) <=> (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2604,plain,
% 7.71/5.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))))),
% 7.71/5.32 inference(monotonicity,[status(thm)],[2603])).
% 7.71/5.32 tff(2605,plain,
% 7.71/5.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))))),
% 7.71/5.32 inference(transitivity,[status(thm)],[2604, 2602])).
% 7.71/5.32 tff(2606,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2607,plain,
% 7.71/5.32 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 7.71/5.32 tff(2608,plain,
% 7.71/5.32 (v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2607, 919])).
% 7.71/5.32 tff(2609,plain,
% 7.71/5.32 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2610,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152')).
% 7.71/5.32 tff(2611,plain,
% 7.71/5.32 (nextState(constB152, constB153)),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2610, 2609])).
% 7.71/5.32 tff(2612,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2613,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2614,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2613, 2612])).
% 7.71/5.32 tff(2615,plain,
% 7.71/5.32 (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2614, 2611, 392])).
% 7.71/5.32 tff(2616,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2617,plain,
% 7.71/5.32 (((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153)))))) <=> ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 7.71/5.32 inference(rewrite,[status(thm)],[])).
% 7.71/5.32 tff(2618,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))))),
% 7.71/5.32 inference(monotonicity,[status(thm)],[2617])).
% 7.71/5.32 tff(2619,plain,
% 7.71/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 7.71/5.32 inference(transitivity,[status(thm)],[2618, 2616])).
% 7.71/5.32 tff(2620,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))),
% 7.71/5.32 inference(quant_inst,[status(thm)],[])).
% 7.71/5.32 tff(2621,plain,
% 7.71/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))),
% 7.71/5.32 inference(modus_ponens,[status(thm)],[2620, 2619])).
% 7.71/5.32 tff(2622,plain,
% 7.71/5.32 (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))),
% 7.71/5.32 inference(unit_resolution,[status(thm)],[2621, 2611, 412])).
% 7.71/5.32 tff(2623,plain,
% 7.71/5.32 (((~v1(constB153)) | (~v102(constB153))) | v1(constB153)),
% 7.71/5.32 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2624,plain,
% 7.71/5.33 ((~v1(constB153)) | (~v102(constB153))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2623, 2574])).
% 7.71/5.33 tff(2625,plain,
% 7.71/5.33 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153)) | (~((~v1(constB153)) | (~v102(constB153))))),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2626,plain,
% 7.71/5.33 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2625, 2624])).
% 7.71/5.33 tff(2627,plain,
% 7.71/5.33 (~v101(constB153)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2626, 2622])).
% 7.71/5.33 tff(2628,plain,
% 7.71/5.33 (((~v101(constB153)) | (~v110(constB153))) | v101(constB153)),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2629,plain,
% 7.71/5.33 ((~v101(constB153)) | (~v110(constB153))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2628, 2627])).
% 7.71/5.33 tff(2630,plain,
% 7.71/5.33 ((~(v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))) | (~v100(constB153)) | (~((~v101(constB153)) | (~v110(constB153))))),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2631,plain,
% 7.71/5.33 (~v100(constB153)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2630, 2629, 2615])).
% 7.71/5.33 tff(2632,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2633,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2634,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2633, 2632])).
% 7.71/5.33 tff(2635,plain,
% 7.71/5.33 (v100(constB153) | ![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2634, 2611, 441])).
% 7.71/5.33 tff(2636,plain,
% 7.71/5.33 (![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2635, 2631])).
% 7.71/5.33 tff(2637,plain,
% 7.71/5.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2638,plain,
% 7.71/5.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2639,plain,
% 7.71/5.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 7.71/5.33 tff(2640,plain,
% 7.71/5.33 (v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2639, 648, 2636])).
% 7.71/5.33 tff(2641,plain,
% 7.71/5.33 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2642,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151')).
% 7.71/5.33 tff(2643,plain,
% 7.71/5.33 (nextState(constB151, constB152)),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 7.71/5.33 tff(2644,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2645,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2646,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 7.71/5.33 tff(2647,plain,
% 7.71/5.33 (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2646, 2643, 392])).
% 7.71/5.33 tff(2648,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2649,plain,
% 7.71/5.33 (((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152)))))) <=> ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2650,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))))),
% 7.71/5.33 inference(monotonicity,[status(thm)],[2649])).
% 7.71/5.33 tff(2651,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 7.71/5.33 inference(transitivity,[status(thm)],[2650, 2648])).
% 7.71/5.33 tff(2652,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2653,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2652, 2651])).
% 7.71/5.33 tff(2654,plain,
% 7.71/5.33 (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2653, 2643, 412])).
% 7.71/5.33 tff(2655,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2656,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2657,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 7.71/5.33 tff(2658,plain,
% 7.71/5.33 ((~v102(constB152)) <=> v104(constB152)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2657, 2643, 474])).
% 7.71/5.33 tff(2659,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2660,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2661,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2660, 2659])).
% 7.71/5.33 tff(2662,plain,
% 7.71/5.33 (v104(constB152) <=> v1(constB151)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2661, 2643, 488])).
% 7.71/5.33 tff(2663,plain,
% 7.71/5.33 ((~v1(constB151)) <=> (~v1(constB151))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2664,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151')).
% 7.71/5.33 tff(2665,plain,
% 7.71/5.33 (~v1(constB151)),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 7.71/5.33 tff(2666,plain,
% 7.71/5.33 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152)) | v1(constB151)),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2667,plain,
% 7.71/5.33 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2666, 2665])).
% 7.71/5.33 tff(2668,plain,
% 7.71/5.33 (~v104(constB152)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2667, 2662])).
% 7.71/5.33 tff(2669,plain,
% 7.71/5.33 ((~((~v102(constB152)) <=> v104(constB152))) | v102(constB152) | v104(constB152)),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2670,plain,
% 7.71/5.33 (v102(constB152)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2669, 2668, 2658])).
% 7.71/5.33 tff(2671,plain,
% 7.71/5.33 (v1(constB152) <=> v1(constB152)),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2672,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152')).
% 7.71/5.33 tff(2673,plain,
% 7.71/5.33 (v1(constB152)),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 7.71/5.33 tff(2674,plain,
% 7.71/5.33 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v1(constB152)) | (~v102(constB152))),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2675,plain,
% 7.71/5.33 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v102(constB152))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2674, 2673])).
% 7.71/5.33 tff(2676,plain,
% 7.71/5.33 (~((~v1(constB152)) | (~v102(constB152)))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2675, 2670])).
% 7.71/5.33 tff(2677,plain,
% 7.71/5.33 ((~(v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))) | v101(constB152) | ((~v1(constB152)) | (~v102(constB152)))),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2678,plain,
% 7.71/5.33 (v101(constB152)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2677, 2676, 2654])).
% 7.71/5.33 tff(2679,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2680,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2681,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 7.71/5.33 tff(2682,plain,
% 7.71/5.33 (v110(constB152) <=> v108(constB151)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2681, 2643, 518])).
% 7.71/5.33 tff(2683,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB151) <=> (v111(constB151) | v112(constB151)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2684,plain,
% 7.71/5.33 (v108(constB151) <=> (v111(constB151) | v112(constB151))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2683, 529])).
% 7.71/5.33 tff(2685,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2686,plain,
% 7.71/5.33 (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2685, 541])).
% 7.71/5.33 tff(2687,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB151) <=> (v114(constB151) | v125(constB151)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2688,plain,
% 7.71/5.33 (v113(constB151) <=> (v114(constB151) | v125(constB151))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2687, 550])).
% 7.71/5.33 tff(2689,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB151) <=> (v115(constB151) | v124(constB151)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2690,plain,
% 7.71/5.33 (v114(constB151) <=> (v115(constB151) | v124(constB151))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2689, 559])).
% 7.71/5.33 tff(2691,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB151) <=> (v116(constB151) | v123(constB151)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2692,plain,
% 7.71/5.33 (v115(constB151) <=> (v116(constB151) | v123(constB151))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2691, 568])).
% 7.71/5.33 tff(2693,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB151) <=> (v117(constB151) | v122(constB151)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2694,plain,
% 7.71/5.33 (v116(constB151) <=> (v117(constB151) | v122(constB151))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2693, 577])).
% 7.71/5.33 tff(2695,plain,
% 7.71/5.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2696,plain,
% 7.71/5.33 ((v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1))))) <=> (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2697,plain,
% 7.71/5.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 7.71/5.33 inference(monotonicity,[status(thm)],[2696])).
% 7.71/5.33 tff(2698,plain,
% 7.71/5.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 7.71/5.33 inference(transitivity,[status(thm)],[2697, 2695])).
% 7.71/5.33 tff(2699,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2700,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 7.71/5.33 tff(2701,plain,
% 7.71/5.33 (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2700, 1025])).
% 7.71/5.33 tff(2702,plain,
% 7.71/5.33 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2703,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150')).
% 7.71/5.33 tff(2704,plain,
% 7.71/5.33 (nextState(constB150, constB151)),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 7.71/5.33 tff(2705,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2706,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2707,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 7.71/5.33 tff(2708,plain,
% 7.71/5.33 (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2707, 2704, 392])).
% 7.71/5.33 tff(2709,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2710,plain,
% 7.71/5.33 (((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151)))))) <=> ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2711,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))))),
% 7.71/5.33 inference(monotonicity,[status(thm)],[2710])).
% 7.71/5.33 tff(2712,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 7.71/5.33 inference(transitivity,[status(thm)],[2711, 2709])).
% 7.71/5.33 tff(2713,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2714,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 7.71/5.33 tff(2715,plain,
% 7.71/5.33 (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2714, 2704, 412])).
% 7.71/5.33 tff(2716,plain,
% 7.71/5.33 (((~v1(constB151)) | (~v102(constB151))) | v1(constB151)),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2717,plain,
% 7.71/5.33 ((~v1(constB151)) | (~v102(constB151))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2716, 2665])).
% 7.71/5.33 tff(2718,plain,
% 7.71/5.33 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151)) | (~((~v1(constB151)) | (~v102(constB151))))),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2719,plain,
% 7.71/5.33 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2718, 2717])).
% 7.71/5.33 tff(2720,plain,
% 7.71/5.33 (~v101(constB151)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2719, 2715])).
% 7.71/5.33 tff(2721,plain,
% 7.71/5.33 (((~v101(constB151)) | (~v110(constB151))) | v101(constB151)),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2722,plain,
% 7.71/5.33 ((~v101(constB151)) | (~v110(constB151))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2721, 2720])).
% 7.71/5.33 tff(2723,plain,
% 7.71/5.33 ((~(v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))) | (~v100(constB151)) | (~((~v101(constB151)) | (~v110(constB151))))),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2724,plain,
% 7.71/5.33 (~v100(constB151)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2723, 2722, 2708])).
% 7.71/5.33 tff(2725,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2726,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2727,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2726, 2725])).
% 7.71/5.33 tff(2728,plain,
% 7.71/5.33 (v100(constB151) | ![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2727, 2704, 441])).
% 7.71/5.33 tff(2729,plain,
% 7.71/5.33 (![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2728, 2724])).
% 7.71/5.33 tff(2730,plain,
% 7.71/5.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2731,plain,
% 7.71/5.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2732,plain,
% 7.71/5.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2731, 2730])).
% 7.71/5.33 tff(2733,plain,
% 7.71/5.33 (v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2732, 648, 2729])).
% 7.71/5.33 tff(2734,plain,
% 7.71/5.33 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2735,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149')).
% 7.71/5.33 tff(2736,plain,
% 7.71/5.33 (nextState(constB149, constB150)),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 7.71/5.33 tff(2737,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2738,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2739,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2738, 2737])).
% 7.71/5.33 tff(2740,plain,
% 7.71/5.33 (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2739, 2736, 392])).
% 7.71/5.33 tff(2741,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2742,plain,
% 7.71/5.33 (((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150)))))) <=> ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2743,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))))),
% 7.71/5.33 inference(monotonicity,[status(thm)],[2742])).
% 7.71/5.33 tff(2744,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 7.71/5.33 inference(transitivity,[status(thm)],[2743, 2741])).
% 7.71/5.33 tff(2745,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2746,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 7.71/5.33 tff(2747,plain,
% 7.71/5.33 (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2746, 2736, 412])).
% 7.71/5.33 tff(2748,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2749,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2750,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2749, 2748])).
% 7.71/5.33 tff(2751,plain,
% 7.71/5.33 ((~v102(constB150)) <=> v104(constB150)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2750, 2736, 474])).
% 7.71/5.33 tff(2752,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2753,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2754,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2753, 2752])).
% 7.71/5.33 tff(2755,plain,
% 7.71/5.33 (v104(constB150) <=> v1(constB149)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2754, 2736, 488])).
% 7.71/5.33 tff(2756,plain,
% 7.71/5.33 ((~v1(constB149)) <=> (~v1(constB149))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2757,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149')).
% 7.71/5.33 tff(2758,plain,
% 7.71/5.33 (~v1(constB149)),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2757, 2756])).
% 7.71/5.33 tff(2759,plain,
% 7.71/5.33 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150)) | v1(constB149)),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2760,plain,
% 7.71/5.33 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2759, 2758])).
% 7.71/5.33 tff(2761,plain,
% 7.71/5.33 (~v104(constB150)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2760, 2755])).
% 7.71/5.33 tff(2762,plain,
% 7.71/5.33 ((~((~v102(constB150)) <=> v104(constB150))) | v102(constB150) | v104(constB150)),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2763,plain,
% 7.71/5.33 (v102(constB150)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2762, 2761, 2751])).
% 7.71/5.33 tff(2764,plain,
% 7.71/5.33 (v1(constB150) <=> v1(constB150)),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2765,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150')).
% 7.71/5.33 tff(2766,plain,
% 7.71/5.33 (v1(constB150)),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2765, 2764])).
% 7.71/5.33 tff(2767,plain,
% 7.71/5.33 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v1(constB150)) | (~v102(constB150))),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2768,plain,
% 7.71/5.33 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v102(constB150))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2767, 2766])).
% 7.71/5.33 tff(2769,plain,
% 7.71/5.33 (~((~v1(constB150)) | (~v102(constB150)))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2768, 2763])).
% 7.71/5.33 tff(2770,plain,
% 7.71/5.33 ((~(v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))) | v101(constB150) | ((~v1(constB150)) | (~v102(constB150)))),
% 7.71/5.33 inference(tautology,[status(thm)],[])).
% 7.71/5.33 tff(2771,plain,
% 7.71/5.33 (v101(constB150)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2770, 2769, 2747])).
% 7.71/5.33 tff(2772,plain,
% 7.71/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 7.71/5.33 inference(rewrite,[status(thm)],[])).
% 7.71/5.33 tff(2773,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2774,plain,
% 7.71/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149))),
% 7.71/5.33 inference(modus_ponens,[status(thm)],[2773, 2772])).
% 7.71/5.33 tff(2775,plain,
% 7.71/5.33 (v110(constB150) <=> v108(constB149)),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2774, 2736, 518])).
% 7.71/5.33 tff(2776,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB149) <=> (v111(constB149) | v112(constB149)))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2777,plain,
% 7.71/5.33 (v108(constB149) <=> (v111(constB149) | v112(constB149))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2776, 529])).
% 7.71/5.33 tff(2778,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))),
% 7.71/5.33 inference(quant_inst,[status(thm)],[])).
% 7.71/5.33 tff(2779,plain,
% 7.71/5.33 (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149))))),
% 7.71/5.33 inference(unit_resolution,[status(thm)],[2778, 541])).
% 7.71/5.33 tff(2780,plain,
% 7.71/5.33 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB149) <=> (v114(constB149) | v125(constB149)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2781,plain,
% 7.71/5.34 (v113(constB149) <=> (v114(constB149) | v125(constB149))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2780, 550])).
% 7.71/5.34 tff(2782,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB149) <=> (v115(constB149) | v124(constB149)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2783,plain,
% 7.71/5.34 (v114(constB149) <=> (v115(constB149) | v124(constB149))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2782, 559])).
% 7.71/5.34 tff(2784,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB149) <=> (v116(constB149) | v123(constB149)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2785,plain,
% 7.71/5.34 (v115(constB149) <=> (v116(constB149) | v123(constB149))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2784, 568])).
% 7.71/5.34 tff(2786,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB149) <=> (v117(constB149) | v122(constB149)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2787,plain,
% 7.71/5.34 (v116(constB149) <=> (v117(constB149) | v122(constB149))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2786, 577])).
% 7.71/5.34 tff(2788,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB149) <=> (v118(constB149) | v121(constB149)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2789,plain,
% 7.71/5.34 (v117(constB149) <=> (v118(constB149) | v121(constB149))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2788, 586])).
% 7.71/5.34 tff(2790,plain,
% 7.71/5.34 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2791,plain,
% 7.71/5.34 ((v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1))))) <=> (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2792,plain,
% 7.71/5.34 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))))),
% 7.71/5.34 inference(monotonicity,[status(thm)],[2791])).
% 7.71/5.34 tff(2793,plain,
% 7.71/5.34 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))))),
% 7.71/5.34 inference(transitivity,[status(thm)],[2792, 2790])).
% 7.71/5.34 tff(2794,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2795,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 7.71/5.34 tff(2796,plain,
% 7.71/5.34 (v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2795, 1133])).
% 7.71/5.34 tff(2797,plain,
% 7.71/5.34 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2798,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148')).
% 7.71/5.34 tff(2799,plain,
% 7.71/5.34 (nextState(constB148, constB149)),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2798, 2797])).
% 7.71/5.34 tff(2800,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2801,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2802,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 7.71/5.34 tff(2803,plain,
% 7.71/5.34 (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2802, 2799, 392])).
% 7.71/5.34 tff(2804,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2805,plain,
% 7.71/5.34 (((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2806,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))))),
% 7.71/5.34 inference(monotonicity,[status(thm)],[2805])).
% 7.71/5.34 tff(2807,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 7.71/5.34 inference(transitivity,[status(thm)],[2806, 2804])).
% 7.71/5.34 tff(2808,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2809,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2808, 2807])).
% 7.71/5.34 tff(2810,plain,
% 7.71/5.34 (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2809, 2799, 412])).
% 7.71/5.34 tff(2811,plain,
% 7.71/5.34 (((~v1(constB149)) | (~v102(constB149))) | v1(constB149)),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2812,plain,
% 7.71/5.34 ((~v1(constB149)) | (~v102(constB149))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2811, 2758])).
% 7.71/5.34 tff(2813,plain,
% 7.71/5.34 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149)) | (~((~v1(constB149)) | (~v102(constB149))))),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2814,plain,
% 7.71/5.34 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2813, 2812])).
% 7.71/5.34 tff(2815,plain,
% 7.71/5.34 (~v101(constB149)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2814, 2810])).
% 7.71/5.34 tff(2816,plain,
% 7.71/5.34 (((~v101(constB149)) | (~v110(constB149))) | v101(constB149)),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2817,plain,
% 7.71/5.34 ((~v101(constB149)) | (~v110(constB149))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2816, 2815])).
% 7.71/5.34 tff(2818,plain,
% 7.71/5.34 ((~(v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))) | (~v100(constB149)) | (~((~v101(constB149)) | (~v110(constB149))))),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2819,plain,
% 7.71/5.34 (~v100(constB149)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2818, 2817, 2803])).
% 7.71/5.34 tff(2820,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2821,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2822,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 7.71/5.34 tff(2823,plain,
% 7.71/5.34 (v100(constB149) | ![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2822, 2799, 441])).
% 7.71/5.34 tff(2824,plain,
% 7.71/5.34 (![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2823, 2819])).
% 7.71/5.34 tff(2825,plain,
% 7.71/5.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2826,plain,
% 7.71/5.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2827,plain,
% 7.71/5.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2826, 2825])).
% 7.71/5.34 tff(2828,plain,
% 7.71/5.34 (v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2827, 648, 2824])).
% 7.71/5.34 tff(2829,plain,
% 7.71/5.34 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2830,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147')).
% 7.71/5.34 tff(2831,plain,
% 7.71/5.34 (nextState(constB147, constB148)),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2830, 2829])).
% 7.71/5.34 tff(2832,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2833,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2834,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 7.71/5.34 tff(2835,plain,
% 7.71/5.34 (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2834, 2831, 392])).
% 7.71/5.34 tff(2836,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2837,plain,
% 7.71/5.34 (((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2838,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))))),
% 7.71/5.34 inference(monotonicity,[status(thm)],[2837])).
% 7.71/5.34 tff(2839,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 7.71/5.34 inference(transitivity,[status(thm)],[2838, 2836])).
% 7.71/5.34 tff(2840,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2841,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 7.71/5.34 tff(2842,plain,
% 7.71/5.34 (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2841, 2831, 412])).
% 7.71/5.34 tff(2843,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2844,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2845,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 7.71/5.34 tff(2846,plain,
% 7.71/5.34 ((~v102(constB148)) <=> v104(constB148)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2845, 2831, 474])).
% 7.71/5.34 tff(2847,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2848,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2849,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 7.71/5.34 tff(2850,plain,
% 7.71/5.34 (v104(constB148) <=> v1(constB147)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2849, 2831, 488])).
% 7.71/5.34 tff(2851,plain,
% 7.71/5.34 ((~v1(constB147)) <=> (~v1(constB147))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2852,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147')).
% 7.71/5.34 tff(2853,plain,
% 7.71/5.34 (~v1(constB147)),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2852, 2851])).
% 7.71/5.34 tff(2854,plain,
% 7.71/5.34 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148)) | v1(constB147)),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2855,plain,
% 7.71/5.34 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2854, 2853])).
% 7.71/5.34 tff(2856,plain,
% 7.71/5.34 (~v104(constB148)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2855, 2850])).
% 7.71/5.34 tff(2857,plain,
% 7.71/5.34 ((~((~v102(constB148)) <=> v104(constB148))) | v102(constB148) | v104(constB148)),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2858,plain,
% 7.71/5.34 (v102(constB148)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2857, 2856, 2846])).
% 7.71/5.34 tff(2859,plain,
% 7.71/5.34 (v1(constB148) <=> v1(constB148)),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2860,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148')).
% 7.71/5.34 tff(2861,plain,
% 7.71/5.34 (v1(constB148)),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2860, 2859])).
% 7.71/5.34 tff(2862,plain,
% 7.71/5.34 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v1(constB148)) | (~v102(constB148))),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2863,plain,
% 7.71/5.34 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v102(constB148))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2862, 2861])).
% 7.71/5.34 tff(2864,plain,
% 7.71/5.34 (~((~v1(constB148)) | (~v102(constB148)))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2863, 2858])).
% 7.71/5.34 tff(2865,plain,
% 7.71/5.34 ((~(v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))) | v101(constB148) | ((~v1(constB148)) | (~v102(constB148)))),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2866,plain,
% 7.71/5.34 (v101(constB148)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2865, 2864, 2842])).
% 7.71/5.34 tff(2867,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2868,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2869,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2868, 2867])).
% 7.71/5.34 tff(2870,plain,
% 7.71/5.34 (v110(constB148) <=> v108(constB147)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2869, 2831, 518])).
% 7.71/5.34 tff(2871,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB147) <=> (v111(constB147) | v112(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2872,plain,
% 7.71/5.34 (v108(constB147) <=> (v111(constB147) | v112(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2871, 529])).
% 7.71/5.34 tff(2873,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2874,plain,
% 7.71/5.34 (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147))))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2873, 541])).
% 7.71/5.34 tff(2875,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB147) <=> (v114(constB147) | v125(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2876,plain,
% 7.71/5.34 (v113(constB147) <=> (v114(constB147) | v125(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2875, 550])).
% 7.71/5.34 tff(2877,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB147) <=> (v115(constB147) | v124(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2878,plain,
% 7.71/5.34 (v114(constB147) <=> (v115(constB147) | v124(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2877, 559])).
% 7.71/5.34 tff(2879,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB147) <=> (v116(constB147) | v123(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2880,plain,
% 7.71/5.34 (v115(constB147) <=> (v116(constB147) | v123(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2879, 568])).
% 7.71/5.34 tff(2881,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB147) <=> (v117(constB147) | v122(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2882,plain,
% 7.71/5.34 (v116(constB147) <=> (v117(constB147) | v122(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2881, 577])).
% 7.71/5.34 tff(2883,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB147) <=> (v118(constB147) | v121(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2884,plain,
% 7.71/5.34 (v117(constB147) <=> (v118(constB147) | v121(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2883, 586])).
% 7.71/5.34 tff(2885,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB147) <=> (v119(constB147) | v120(constB147)))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2886,plain,
% 7.71/5.34 (v118(constB147) <=> (v119(constB147) | v120(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2885, 595])).
% 7.71/5.34 tff(2887,plain,
% 7.71/5.34 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2888,plain,
% 7.71/5.34 ((v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0))))) <=> (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2889,plain,
% 7.71/5.34 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))))),
% 7.71/5.34 inference(monotonicity,[status(thm)],[2888])).
% 7.71/5.34 tff(2890,plain,
% 7.71/5.34 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))))),
% 7.71/5.34 inference(transitivity,[status(thm)],[2889, 2887])).
% 7.71/5.34 tff(2891,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2892,plain,
% 7.71/5.34 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2891, 2890])).
% 7.71/5.34 tff(2893,plain,
% 7.71/5.34 (v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2892, 610])).
% 7.71/5.34 tff(2894,plain,
% 7.71/5.34 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2895,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146')).
% 7.71/5.34 tff(2896,plain,
% 7.71/5.34 (nextState(constB146, constB147)),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 7.71/5.34 tff(2897,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2898,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2899,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 7.71/5.34 tff(2900,plain,
% 7.71/5.34 (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2899, 2896, 392])).
% 7.71/5.34 tff(2901,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2902,plain,
% 7.71/5.34 (((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147)))))) <=> ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 7.71/5.34 inference(rewrite,[status(thm)],[])).
% 7.71/5.34 tff(2903,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))))),
% 7.71/5.34 inference(monotonicity,[status(thm)],[2902])).
% 7.71/5.34 tff(2904,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 7.71/5.34 inference(transitivity,[status(thm)],[2903, 2901])).
% 7.71/5.34 tff(2905,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))),
% 7.71/5.34 inference(quant_inst,[status(thm)],[])).
% 7.71/5.34 tff(2906,plain,
% 7.71/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))),
% 7.71/5.34 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 7.71/5.34 tff(2907,plain,
% 7.71/5.34 (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2906, 2896, 412])).
% 7.71/5.34 tff(2908,plain,
% 7.71/5.34 (((~v1(constB147)) | (~v102(constB147))) | v1(constB147)),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2909,plain,
% 7.71/5.34 ((~v1(constB147)) | (~v102(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2908, 2853])).
% 7.71/5.34 tff(2910,plain,
% 7.71/5.34 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147)) | (~((~v1(constB147)) | (~v102(constB147))))),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2911,plain,
% 7.71/5.34 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2910, 2909])).
% 7.71/5.34 tff(2912,plain,
% 7.71/5.34 (~v101(constB147)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2911, 2907])).
% 7.71/5.34 tff(2913,plain,
% 7.71/5.34 (((~v101(constB147)) | (~v110(constB147))) | v101(constB147)),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2914,plain,
% 7.71/5.34 ((~v101(constB147)) | (~v110(constB147))),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2913, 2912])).
% 7.71/5.34 tff(2915,plain,
% 7.71/5.34 ((~(v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))) | (~v100(constB147)) | (~((~v101(constB147)) | (~v110(constB147))))),
% 7.71/5.34 inference(tautology,[status(thm)],[])).
% 7.71/5.34 tff(2916,plain,
% 7.71/5.34 (~v100(constB147)),
% 7.71/5.34 inference(unit_resolution,[status(thm)],[2915, 2914, 2900])).
% 7.71/5.34 tff(2917,plain,
% 7.71/5.34 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2918,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2919,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 7.71/5.35 tff(2920,plain,
% 7.71/5.35 (v100(constB147) | ![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2919, 2896, 441])).
% 7.71/5.35 tff(2921,plain,
% 7.71/5.35 (![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2920, 2916])).
% 7.71/5.35 tff(2922,plain,
% 7.71/5.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2923,plain,
% 7.71/5.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2924,plain,
% 7.71/5.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 7.71/5.35 tff(2925,plain,
% 7.71/5.35 (v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2924, 648, 2921])).
% 7.71/5.35 tff(2926,plain,
% 7.71/5.35 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2927,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145')).
% 7.71/5.35 tff(2928,plain,
% 7.71/5.35 (nextState(constB145, constB146)),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2927, 2926])).
% 7.71/5.35 tff(2929,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2930,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2931,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2930, 2929])).
% 7.71/5.35 tff(2932,plain,
% 7.71/5.35 (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2931, 2928, 392])).
% 7.71/5.35 tff(2933,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2934,plain,
% 7.71/5.35 (((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146)))))) <=> ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2935,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))))),
% 7.71/5.35 inference(monotonicity,[status(thm)],[2934])).
% 7.71/5.35 tff(2936,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 7.71/5.35 inference(transitivity,[status(thm)],[2935, 2933])).
% 7.71/5.35 tff(2937,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2938,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 7.71/5.35 tff(2939,plain,
% 7.71/5.35 (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2938, 2928, 412])).
% 7.71/5.35 tff(2940,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2941,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2942,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 7.71/5.35 tff(2943,plain,
% 7.71/5.35 ((~v102(constB146)) <=> v104(constB146)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2942, 2928, 474])).
% 7.71/5.35 tff(2944,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2945,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2946,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 7.71/5.35 tff(2947,plain,
% 7.71/5.35 (v104(constB146) <=> v1(constB145)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2946, 2928, 488])).
% 7.71/5.35 tff(2948,plain,
% 7.71/5.35 ((~v1(constB145)) <=> (~v1(constB145))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2949,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145')).
% 7.71/5.35 tff(2950,plain,
% 7.71/5.35 (~v1(constB145)),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2949, 2948])).
% 7.71/5.35 tff(2951,plain,
% 7.71/5.35 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146)) | v1(constB145)),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(2952,plain,
% 7.71/5.35 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2951, 2950])).
% 7.71/5.35 tff(2953,plain,
% 7.71/5.35 (~v104(constB146)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2952, 2947])).
% 7.71/5.35 tff(2954,plain,
% 7.71/5.35 ((~((~v102(constB146)) <=> v104(constB146))) | v102(constB146) | v104(constB146)),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(2955,plain,
% 7.71/5.35 (v102(constB146)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2954, 2953, 2943])).
% 7.71/5.35 tff(2956,plain,
% 7.71/5.35 (v1(constB146) <=> v1(constB146)),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2957,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146')).
% 7.71/5.35 tff(2958,plain,
% 7.71/5.35 (v1(constB146)),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2957, 2956])).
% 7.71/5.35 tff(2959,plain,
% 7.71/5.35 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v1(constB146)) | (~v102(constB146))),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(2960,plain,
% 7.71/5.35 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v102(constB146))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2959, 2958])).
% 7.71/5.35 tff(2961,plain,
% 7.71/5.35 (~((~v1(constB146)) | (~v102(constB146)))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2960, 2955])).
% 7.71/5.35 tff(2962,plain,
% 7.71/5.35 ((~(v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))) | v101(constB146) | ((~v1(constB146)) | (~v102(constB146)))),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(2963,plain,
% 7.71/5.35 (v101(constB146)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2962, 2961, 2939])).
% 7.71/5.35 tff(2964,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2965,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2966,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 7.71/5.35 tff(2967,plain,
% 7.71/5.35 (v110(constB146) <=> v108(constB145)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2966, 2928, 518])).
% 7.71/5.35 tff(2968,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB145) <=> (v111(constB145) | v112(constB145)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2969,plain,
% 7.71/5.35 (v108(constB145) <=> (v111(constB145) | v112(constB145))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2968, 529])).
% 7.71/5.35 tff(2970,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2971,plain,
% 7.71/5.35 (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145))))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2970, 541])).
% 7.71/5.35 tff(2972,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB145) <=> (v114(constB145) | v125(constB145)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2973,plain,
% 7.71/5.35 (v113(constB145) <=> (v114(constB145) | v125(constB145))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2972, 550])).
% 7.71/5.35 tff(2974,plain,
% 7.71/5.35 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2975,plain,
% 7.71/5.35 ((v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2))))) <=> (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2976,plain,
% 7.71/5.35 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 7.71/5.35 inference(monotonicity,[status(thm)],[2975])).
% 7.71/5.35 tff(2977,plain,
% 7.71/5.35 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 7.71/5.35 inference(transitivity,[status(thm)],[2976, 2974])).
% 7.71/5.35 tff(2978,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2979,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 7.71/5.35 tff(2980,plain,
% 7.71/5.35 (v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2979, 713])).
% 7.71/5.35 tff(2981,plain,
% 7.71/5.35 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2982,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144')).
% 7.71/5.35 tff(2983,plain,
% 7.71/5.35 (nextState(constB144, constB145)),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 7.71/5.35 tff(2984,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2985,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2986,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2985, 2984])).
% 7.71/5.35 tff(2987,plain,
% 7.71/5.35 (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2986, 2983, 392])).
% 7.71/5.35 tff(2988,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2989,plain,
% 7.71/5.35 (((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145)))))) <=> ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(2990,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))))),
% 7.71/5.35 inference(monotonicity,[status(thm)],[2989])).
% 7.71/5.35 tff(2991,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 7.71/5.35 inference(transitivity,[status(thm)],[2990, 2988])).
% 7.71/5.35 tff(2992,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(2993,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[2992, 2991])).
% 7.71/5.35 tff(2994,plain,
% 7.71/5.35 (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2993, 2983, 412])).
% 7.71/5.35 tff(2995,plain,
% 7.71/5.35 (((~v1(constB145)) | (~v102(constB145))) | v1(constB145)),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(2996,plain,
% 7.71/5.35 ((~v1(constB145)) | (~v102(constB145))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2995, 2950])).
% 7.71/5.35 tff(2997,plain,
% 7.71/5.35 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145)) | (~((~v1(constB145)) | (~v102(constB145))))),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(2998,plain,
% 7.71/5.35 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2997, 2996])).
% 7.71/5.35 tff(2999,plain,
% 7.71/5.35 (~v101(constB145)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[2998, 2994])).
% 7.71/5.35 tff(3000,plain,
% 7.71/5.35 (((~v101(constB145)) | (~v110(constB145))) | v101(constB145)),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(3001,plain,
% 7.71/5.35 ((~v101(constB145)) | (~v110(constB145))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3000, 2999])).
% 7.71/5.35 tff(3002,plain,
% 7.71/5.35 ((~(v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))) | (~v100(constB145)) | (~((~v101(constB145)) | (~v110(constB145))))),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(3003,plain,
% 7.71/5.35 (~v100(constB145)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3002, 3001, 2987])).
% 7.71/5.35 tff(3004,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3005,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3006,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3005, 3004])).
% 7.71/5.35 tff(3007,plain,
% 7.71/5.35 (v100(constB145) | ![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3006, 2983, 441])).
% 7.71/5.35 tff(3008,plain,
% 7.71/5.35 (![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3007, 3003])).
% 7.71/5.35 tff(3009,plain,
% 7.71/5.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3010,plain,
% 7.71/5.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3011,plain,
% 7.71/5.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3010, 3009])).
% 7.71/5.35 tff(3012,plain,
% 7.71/5.35 (v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3011, 648, 3008])).
% 7.71/5.35 tff(3013,plain,
% 7.71/5.35 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3014,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143')).
% 7.71/5.35 tff(3015,plain,
% 7.71/5.35 (nextState(constB143, constB144)),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 7.71/5.35 tff(3016,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3017,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3018,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3017, 3016])).
% 7.71/5.35 tff(3019,plain,
% 7.71/5.35 (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3018, 3015, 392])).
% 7.71/5.35 tff(3020,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3021,plain,
% 7.71/5.35 (((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144)))))) <=> ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3022,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))))),
% 7.71/5.35 inference(monotonicity,[status(thm)],[3021])).
% 7.71/5.35 tff(3023,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 7.71/5.35 inference(transitivity,[status(thm)],[3022, 3020])).
% 7.71/5.35 tff(3024,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3025,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3024, 3023])).
% 7.71/5.35 tff(3026,plain,
% 7.71/5.35 (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3025, 3015, 412])).
% 7.71/5.35 tff(3027,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3028,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3029,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 7.71/5.35 tff(3030,plain,
% 7.71/5.35 ((~v102(constB144)) <=> v104(constB144)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3029, 3015, 474])).
% 7.71/5.35 tff(3031,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3032,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3033,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3032, 3031])).
% 7.71/5.35 tff(3034,plain,
% 7.71/5.35 (v104(constB144) <=> v1(constB143)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3033, 3015, 488])).
% 7.71/5.35 tff(3035,plain,
% 7.71/5.35 ((~v1(constB143)) <=> (~v1(constB143))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3036,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143')).
% 7.71/5.35 tff(3037,plain,
% 7.71/5.35 (~v1(constB143)),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3036, 3035])).
% 7.71/5.35 tff(3038,plain,
% 7.71/5.35 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144)) | v1(constB143)),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(3039,plain,
% 7.71/5.35 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3038, 3037])).
% 7.71/5.35 tff(3040,plain,
% 7.71/5.35 (~v104(constB144)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3039, 3034])).
% 7.71/5.35 tff(3041,plain,
% 7.71/5.35 ((~((~v102(constB144)) <=> v104(constB144))) | v102(constB144) | v104(constB144)),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(3042,plain,
% 7.71/5.35 (v102(constB144)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3041, 3040, 3030])).
% 7.71/5.35 tff(3043,plain,
% 7.71/5.35 (v1(constB144) <=> v1(constB144)),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3044,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144')).
% 7.71/5.35 tff(3045,plain,
% 7.71/5.35 (v1(constB144)),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3044, 3043])).
% 7.71/5.35 tff(3046,plain,
% 7.71/5.35 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v1(constB144)) | (~v102(constB144))),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(3047,plain,
% 7.71/5.35 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v102(constB144))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3046, 3045])).
% 7.71/5.35 tff(3048,plain,
% 7.71/5.35 (~((~v1(constB144)) | (~v102(constB144)))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3047, 3042])).
% 7.71/5.35 tff(3049,plain,
% 7.71/5.35 ((~(v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))) | v101(constB144) | ((~v1(constB144)) | (~v102(constB144)))),
% 7.71/5.35 inference(tautology,[status(thm)],[])).
% 7.71/5.35 tff(3050,plain,
% 7.71/5.35 (v101(constB144)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3049, 3048, 3026])).
% 7.71/5.35 tff(3051,plain,
% 7.71/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3052,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3053,plain,
% 7.71/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143))),
% 7.71/5.35 inference(modus_ponens,[status(thm)],[3052, 3051])).
% 7.71/5.35 tff(3054,plain,
% 7.71/5.35 (v110(constB144) <=> v108(constB143)),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3053, 3015, 518])).
% 7.71/5.35 tff(3055,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB143) <=> (v111(constB143) | v112(constB143)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3056,plain,
% 7.71/5.35 (v108(constB143) <=> (v111(constB143) | v112(constB143))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3055, 529])).
% 7.71/5.35 tff(3057,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3058,plain,
% 7.71/5.35 (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143))))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3057, 541])).
% 7.71/5.35 tff(3059,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB143) <=> (v114(constB143) | v125(constB143)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3060,plain,
% 7.71/5.35 (v113(constB143) <=> (v114(constB143) | v125(constB143))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3059, 550])).
% 7.71/5.35 tff(3061,plain,
% 7.71/5.35 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB143) <=> (v115(constB143) | v124(constB143)))),
% 7.71/5.35 inference(quant_inst,[status(thm)],[])).
% 7.71/5.35 tff(3062,plain,
% 7.71/5.35 (v114(constB143) <=> (v115(constB143) | v124(constB143))),
% 7.71/5.35 inference(unit_resolution,[status(thm)],[3061, 559])).
% 7.71/5.35 tff(3063,plain,
% 7.71/5.35 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0))))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3064,plain,
% 7.71/5.35 ((v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2))))) <=> (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))))),
% 7.71/5.35 inference(rewrite,[status(thm)],[])).
% 7.71/5.35 tff(3065,plain,
% 7.71/5.35 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0))))))),
% 7.78/5.36 inference(monotonicity,[status(thm)],[3064])).
% 7.78/5.36 tff(3066,plain,
% 7.78/5.36 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0))))))),
% 7.78/5.36 inference(transitivity,[status(thm)],[3065, 3063])).
% 7.78/5.36 tff(3067,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2)))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3068,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3067, 3066])).
% 7.78/5.36 tff(3069,plain,
% 7.78/5.36 (v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3068, 815])).
% 7.78/5.36 tff(3070,plain,
% 7.78/5.36 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3071,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142')).
% 7.78/5.36 tff(3072,plain,
% 7.78/5.36 (nextState(constB142, constB143)),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3071, 3070])).
% 7.78/5.36 tff(3073,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3074,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3075,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 7.78/5.36 tff(3076,plain,
% 7.78/5.36 (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3075, 3072, 392])).
% 7.78/5.36 tff(3077,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3078,plain,
% 7.78/5.36 (((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143)))))) <=> ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3079,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))))),
% 7.78/5.36 inference(monotonicity,[status(thm)],[3078])).
% 7.78/5.36 tff(3080,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 7.78/5.36 inference(transitivity,[status(thm)],[3079, 3077])).
% 7.78/5.36 tff(3081,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3082,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3081, 3080])).
% 7.78/5.36 tff(3083,plain,
% 7.78/5.36 (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3082, 3072, 412])).
% 7.78/5.36 tff(3084,plain,
% 7.78/5.36 (((~v1(constB143)) | (~v102(constB143))) | v1(constB143)),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3085,plain,
% 7.78/5.36 ((~v1(constB143)) | (~v102(constB143))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3084, 3037])).
% 7.78/5.36 tff(3086,plain,
% 7.78/5.36 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143)) | (~((~v1(constB143)) | (~v102(constB143))))),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3087,plain,
% 7.78/5.36 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3086, 3085])).
% 7.78/5.36 tff(3088,plain,
% 7.78/5.36 (~v101(constB143)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3087, 3083])).
% 7.78/5.36 tff(3089,plain,
% 7.78/5.36 (((~v101(constB143)) | (~v110(constB143))) | v101(constB143)),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3090,plain,
% 7.78/5.36 ((~v101(constB143)) | (~v110(constB143))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3089, 3088])).
% 7.78/5.36 tff(3091,plain,
% 7.78/5.36 ((~(v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))) | (~v100(constB143)) | (~((~v101(constB143)) | (~v110(constB143))))),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3092,plain,
% 7.78/5.36 (~v100(constB143)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3091, 3090, 3076])).
% 7.78/5.36 tff(3093,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3094,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3095,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3094, 3093])).
% 7.78/5.36 tff(3096,plain,
% 7.78/5.36 (v100(constB143) | ![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3095, 3072, 441])).
% 7.78/5.36 tff(3097,plain,
% 7.78/5.36 (![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3096, 3092])).
% 7.78/5.36 tff(3098,plain,
% 7.78/5.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3099,plain,
% 7.78/5.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3100,plain,
% 7.78/5.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3099, 3098])).
% 7.78/5.36 tff(3101,plain,
% 7.78/5.36 (v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3100, 648, 3097])).
% 7.78/5.36 tff(3102,plain,
% 7.78/5.36 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3103,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141')).
% 7.78/5.36 tff(3104,plain,
% 7.78/5.36 (nextState(constB141, constB142)),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 7.78/5.36 tff(3105,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3106,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3107,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3106, 3105])).
% 7.78/5.36 tff(3108,plain,
% 7.78/5.36 (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3107, 3104, 392])).
% 7.78/5.36 tff(3109,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3110,plain,
% 7.78/5.36 (((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142)))))) <=> ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3111,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))))),
% 7.78/5.36 inference(monotonicity,[status(thm)],[3110])).
% 7.78/5.36 tff(3112,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 7.78/5.36 inference(transitivity,[status(thm)],[3111, 3109])).
% 7.78/5.36 tff(3113,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3114,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3113, 3112])).
% 7.78/5.36 tff(3115,plain,
% 7.78/5.36 (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3114, 3104, 412])).
% 7.78/5.36 tff(3116,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3117,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3118,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3117, 3116])).
% 7.78/5.36 tff(3119,plain,
% 7.78/5.36 ((~v102(constB142)) <=> v104(constB142)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3118, 3104, 474])).
% 7.78/5.36 tff(3120,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3121,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3122,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3121, 3120])).
% 7.78/5.36 tff(3123,plain,
% 7.78/5.36 (v104(constB142) <=> v1(constB141)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3122, 3104, 488])).
% 7.78/5.36 tff(3124,plain,
% 7.78/5.36 ((~v1(constB141)) <=> (~v1(constB141))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3125,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141')).
% 7.78/5.36 tff(3126,plain,
% 7.78/5.36 (~v1(constB141)),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3125, 3124])).
% 7.78/5.36 tff(3127,plain,
% 7.78/5.36 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142)) | v1(constB141)),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3128,plain,
% 7.78/5.36 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3127, 3126])).
% 7.78/5.36 tff(3129,plain,
% 7.78/5.36 (~v104(constB142)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3128, 3123])).
% 7.78/5.36 tff(3130,plain,
% 7.78/5.36 ((~((~v102(constB142)) <=> v104(constB142))) | v102(constB142) | v104(constB142)),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3131,plain,
% 7.78/5.36 (v102(constB142)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3130, 3129, 3119])).
% 7.78/5.36 tff(3132,plain,
% 7.78/5.36 (v1(constB142) <=> v1(constB142)),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3133,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142')).
% 7.78/5.36 tff(3134,plain,
% 7.78/5.36 (v1(constB142)),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3133, 3132])).
% 7.78/5.36 tff(3135,plain,
% 7.78/5.36 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v1(constB142)) | (~v102(constB142))),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3136,plain,
% 7.78/5.36 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v102(constB142))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3135, 3134])).
% 7.78/5.36 tff(3137,plain,
% 7.78/5.36 (~((~v1(constB142)) | (~v102(constB142)))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3136, 3131])).
% 7.78/5.36 tff(3138,plain,
% 7.78/5.36 ((~(v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))) | v101(constB142) | ((~v1(constB142)) | (~v102(constB142)))),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3139,plain,
% 7.78/5.36 (v101(constB142)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3138, 3137, 3115])).
% 7.78/5.36 tff(3140,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3141,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3142,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 7.78/5.36 tff(3143,plain,
% 7.78/5.36 (v110(constB142) <=> v108(constB141)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3142, 3104, 518])).
% 7.78/5.36 tff(3144,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB141) <=> (v111(constB141) | v112(constB141)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3145,plain,
% 7.78/5.36 (v108(constB141) <=> (v111(constB141) | v112(constB141))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3144, 529])).
% 7.78/5.36 tff(3146,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3147,plain,
% 7.78/5.36 (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3146, 541])).
% 7.78/5.36 tff(3148,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB141) <=> (v114(constB141) | v125(constB141)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3149,plain,
% 7.78/5.36 (v113(constB141) <=> (v114(constB141) | v125(constB141))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3148, 550])).
% 7.78/5.36 tff(3150,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB141) <=> (v115(constB141) | v124(constB141)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3151,plain,
% 7.78/5.36 (v114(constB141) <=> (v115(constB141) | v124(constB141))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3150, 559])).
% 7.78/5.36 tff(3152,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB141) <=> (v116(constB141) | v123(constB141)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3153,plain,
% 7.78/5.36 (v115(constB141) <=> (v116(constB141) | v123(constB141))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3152, 568])).
% 7.78/5.36 tff(3154,plain,
% 7.78/5.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0)))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3155,plain,
% 7.78/5.36 ((v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2))))) <=> (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3156,plain,
% 7.78/5.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0)))))),
% 7.78/5.36 inference(monotonicity,[status(thm)],[3155])).
% 7.78/5.36 tff(3157,plain,
% 7.78/5.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0)))))),
% 7.78/5.36 inference(transitivity,[status(thm)],[3156, 3154])).
% 7.78/5.36 tff(3158,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3159,plain,
% 7.78/5.36 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3158, 3157])).
% 7.78/5.36 tff(3160,plain,
% 7.78/5.36 (v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0)))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3159, 919])).
% 7.78/5.36 tff(3161,plain,
% 7.78/5.36 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3162,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140')).
% 7.78/5.36 tff(3163,plain,
% 7.78/5.36 (nextState(constB140, constB141)),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3162, 3161])).
% 7.78/5.36 tff(3164,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3165,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3166,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 7.78/5.36 tff(3167,plain,
% 7.78/5.36 (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3166, 3163, 392])).
% 7.78/5.36 tff(3168,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3169,plain,
% 7.78/5.36 (((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3170,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))))),
% 7.78/5.36 inference(monotonicity,[status(thm)],[3169])).
% 7.78/5.36 tff(3171,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 7.78/5.36 inference(transitivity,[status(thm)],[3170, 3168])).
% 7.78/5.36 tff(3172,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3173,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 7.78/5.36 tff(3174,plain,
% 7.78/5.36 (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3173, 3163, 412])).
% 7.78/5.36 tff(3175,plain,
% 7.78/5.36 (((~v1(constB141)) | (~v102(constB141))) | v1(constB141)),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3176,plain,
% 7.78/5.36 ((~v1(constB141)) | (~v102(constB141))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3175, 3126])).
% 7.78/5.36 tff(3177,plain,
% 7.78/5.36 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141)) | (~((~v1(constB141)) | (~v102(constB141))))),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3178,plain,
% 7.78/5.36 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3177, 3176])).
% 7.78/5.36 tff(3179,plain,
% 7.78/5.36 (~v101(constB141)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3178, 3174])).
% 7.78/5.36 tff(3180,plain,
% 7.78/5.36 (((~v101(constB141)) | (~v110(constB141))) | v101(constB141)),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3181,plain,
% 7.78/5.36 ((~v101(constB141)) | (~v110(constB141))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3180, 3179])).
% 7.78/5.36 tff(3182,plain,
% 7.78/5.36 ((~(v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))) | (~v100(constB141)) | (~((~v101(constB141)) | (~v110(constB141))))),
% 7.78/5.36 inference(tautology,[status(thm)],[])).
% 7.78/5.36 tff(3183,plain,
% 7.78/5.36 (~v100(constB141)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3182, 3181, 3167])).
% 7.78/5.36 tff(3184,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3185,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3186,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3185, 3184])).
% 7.78/5.36 tff(3187,plain,
% 7.78/5.36 (v100(constB141) | ![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3186, 3163, 441])).
% 7.78/5.36 tff(3188,plain,
% 7.78/5.36 (![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3187, 3183])).
% 7.78/5.36 tff(3189,plain,
% 7.78/5.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3190,plain,
% 7.78/5.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3191,plain,
% 7.78/5.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3190, 3189])).
% 7.78/5.36 tff(3192,plain,
% 7.78/5.36 (v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2)),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3191, 648, 3188])).
% 7.78/5.36 tff(3193,plain,
% 7.78/5.36 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3194,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139')).
% 7.78/5.36 tff(3195,plain,
% 7.78/5.36 (nextState(constB139, constB140)),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3194, 3193])).
% 7.78/5.36 tff(3196,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3197,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3198,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 7.78/5.36 tff(3199,plain,
% 7.78/5.36 (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))),
% 7.78/5.36 inference(unit_resolution,[status(thm)],[3198, 3195, 392])).
% 7.78/5.36 tff(3200,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3201,plain,
% 7.78/5.36 (((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 7.78/5.36 inference(rewrite,[status(thm)],[])).
% 7.78/5.36 tff(3202,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))))),
% 7.78/5.36 inference(monotonicity,[status(thm)],[3201])).
% 7.78/5.36 tff(3203,plain,
% 7.78/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 7.78/5.36 inference(transitivity,[status(thm)],[3202, 3200])).
% 7.78/5.36 tff(3204,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))),
% 7.78/5.36 inference(quant_inst,[status(thm)],[])).
% 7.78/5.36 tff(3205,plain,
% 7.78/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))),
% 7.78/5.36 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 7.78/5.36 tff(3206,plain,
% 7.78/5.36 (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3205, 3195, 412])).
% 7.78/5.37 tff(3207,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3208,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3209,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 7.78/5.37 tff(3210,plain,
% 7.78/5.37 ((~v102(constB140)) <=> v104(constB140)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3209, 3195, 474])).
% 7.78/5.37 tff(3211,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3212,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3213,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 7.78/5.37 tff(3214,plain,
% 7.78/5.37 (v104(constB140) <=> v1(constB139)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3213, 3195, 488])).
% 7.78/5.37 tff(3215,plain,
% 7.78/5.37 ((~v1(constB139)) <=> (~v1(constB139))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3216,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139')).
% 7.78/5.37 tff(3217,plain,
% 7.78/5.37 (~v1(constB139)),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 7.78/5.37 tff(3218,plain,
% 7.78/5.37 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140)) | v1(constB139)),
% 7.78/5.37 inference(tautology,[status(thm)],[])).
% 7.78/5.37 tff(3219,plain,
% 7.78/5.37 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3218, 3217])).
% 7.78/5.37 tff(3220,plain,
% 7.78/5.37 (~v104(constB140)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3219, 3214])).
% 7.78/5.37 tff(3221,plain,
% 7.78/5.37 ((~((~v102(constB140)) <=> v104(constB140))) | v102(constB140) | v104(constB140)),
% 7.78/5.37 inference(tautology,[status(thm)],[])).
% 7.78/5.37 tff(3222,plain,
% 7.78/5.37 (v102(constB140)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3221, 3220, 3210])).
% 7.78/5.37 tff(3223,plain,
% 7.78/5.37 (v1(constB140) <=> v1(constB140)),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3224,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140')).
% 7.78/5.37 tff(3225,plain,
% 7.78/5.37 (v1(constB140)),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3224, 3223])).
% 7.78/5.37 tff(3226,plain,
% 7.78/5.37 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v1(constB140)) | (~v102(constB140))),
% 7.78/5.37 inference(tautology,[status(thm)],[])).
% 7.78/5.37 tff(3227,plain,
% 7.78/5.37 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v102(constB140))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3226, 3225])).
% 7.78/5.37 tff(3228,plain,
% 7.78/5.37 (~((~v1(constB140)) | (~v102(constB140)))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3227, 3222])).
% 7.78/5.37 tff(3229,plain,
% 7.78/5.37 ((~(v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))) | v101(constB140) | ((~v1(constB140)) | (~v102(constB140)))),
% 7.78/5.37 inference(tautology,[status(thm)],[])).
% 7.78/5.37 tff(3230,plain,
% 7.78/5.37 (v101(constB140)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3229, 3228, 3206])).
% 7.78/5.37 tff(3231,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3232,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3233,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3232, 3231])).
% 7.78/5.37 tff(3234,plain,
% 7.78/5.37 (v110(constB140) <=> v108(constB139)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3233, 3195, 518])).
% 7.78/5.37 tff(3235,plain,
% 7.78/5.37 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB139) <=> (v111(constB139) | v112(constB139)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3236,plain,
% 7.78/5.37 (v108(constB139) <=> (v111(constB139) | v112(constB139))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3235, 529])).
% 7.78/5.37 tff(3237,plain,
% 7.78/5.37 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3238,plain,
% 7.78/5.37 (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139))))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3237, 541])).
% 7.78/5.37 tff(3239,plain,
% 7.78/5.37 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB139) <=> (v114(constB139) | v125(constB139)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3240,plain,
% 7.78/5.37 (v113(constB139) <=> (v114(constB139) | v125(constB139))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3239, 550])).
% 7.78/5.37 tff(3241,plain,
% 7.78/5.37 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB139) <=> (v115(constB139) | v124(constB139)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3242,plain,
% 7.78/5.37 (v114(constB139) <=> (v115(constB139) | v124(constB139))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3241, 559])).
% 7.78/5.37 tff(3243,plain,
% 7.78/5.37 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB139) <=> (v116(constB139) | v123(constB139)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3244,plain,
% 7.78/5.37 (v115(constB139) <=> (v116(constB139) | v123(constB139))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3243, 568])).
% 7.78/5.37 tff(3245,plain,
% 7.78/5.37 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB139) <=> (v117(constB139) | v122(constB139)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3246,plain,
% 7.78/5.37 (v116(constB139) <=> (v117(constB139) | v122(constB139))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3245, 577])).
% 7.78/5.37 tff(3247,plain,
% 7.78/5.37 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3248,plain,
% 7.78/5.37 ((v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1))))) <=> (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3249,plain,
% 7.78/5.37 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))))),
% 7.78/5.37 inference(monotonicity,[status(thm)],[3248])).
% 7.78/5.37 tff(3250,plain,
% 7.78/5.37 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))))),
% 7.78/5.37 inference(transitivity,[status(thm)],[3249, 3247])).
% 7.78/5.37 tff(3251,plain,
% 7.78/5.37 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)))))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3252,plain,
% 7.78/5.37 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 7.78/5.37 tff(3253,plain,
% 7.78/5.37 (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3252, 1025])).
% 7.78/5.37 tff(3254,plain,
% 7.78/5.37 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3255,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138')).
% 7.78/5.37 tff(3256,plain,
% 7.78/5.37 (nextState(constB138, constB139)),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 7.78/5.37 tff(3257,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3258,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3259,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 7.78/5.37 tff(3260,plain,
% 7.78/5.37 (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3259, 3256, 392])).
% 7.78/5.37 tff(3261,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3262,plain,
% 7.78/5.37 (((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139)))))) <=> ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3263,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))))),
% 7.78/5.37 inference(monotonicity,[status(thm)],[3262])).
% 7.78/5.37 tff(3264,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 7.78/5.37 inference(transitivity,[status(thm)],[3263, 3261])).
% 7.78/5.37 tff(3265,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3266,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 7.78/5.37 tff(3267,plain,
% 7.78/5.37 (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3266, 3256, 412])).
% 7.78/5.37 tff(3268,plain,
% 7.78/5.37 (((~v1(constB139)) | (~v102(constB139))) | v1(constB139)),
% 7.78/5.37 inference(tautology,[status(thm)],[])).
% 7.78/5.37 tff(3269,plain,
% 7.78/5.37 ((~v1(constB139)) | (~v102(constB139))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3268, 3217])).
% 7.78/5.37 tff(3270,plain,
% 7.78/5.37 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139)) | (~((~v1(constB139)) | (~v102(constB139))))),
% 7.78/5.37 inference(tautology,[status(thm)],[])).
% 7.78/5.37 tff(3271,plain,
% 7.78/5.37 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3270, 3269])).
% 7.78/5.37 tff(3272,plain,
% 7.78/5.37 (~v101(constB139)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3271, 3267])).
% 7.78/5.37 tff(3273,plain,
% 7.78/5.37 (((~v101(constB139)) | (~v110(constB139))) | v101(constB139)),
% 7.78/5.37 inference(tautology,[status(thm)],[])).
% 7.78/5.37 tff(3274,plain,
% 7.78/5.37 ((~v101(constB139)) | (~v110(constB139))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3273, 3272])).
% 7.78/5.37 tff(3275,plain,
% 7.78/5.37 ((~(v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))) | (~v100(constB139)) | (~((~v101(constB139)) | (~v110(constB139))))),
% 7.78/5.37 inference(tautology,[status(thm)],[])).
% 7.78/5.37 tff(3276,plain,
% 7.78/5.37 (~v100(constB139)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3275, 3274, 3260])).
% 7.78/5.37 tff(3277,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B))))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3278,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B))))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3279,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3278, 3277])).
% 7.78/5.37 tff(3280,plain,
% 7.78/5.37 (v100(constB139) | ![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3279, 3256, 441])).
% 7.78/5.37 tff(3281,plain,
% 7.78/5.37 (![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3280, 3276])).
% 7.78/5.37 tff(3282,plain,
% 7.78/5.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3283,plain,
% 7.78/5.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3284,plain,
% 7.78/5.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 7.78/5.37 tff(3285,plain,
% 7.78/5.37 (v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2)),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3284, 648, 3281])).
% 7.78/5.37 tff(3286,plain,
% 7.78/5.37 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3287,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137')).
% 7.78/5.37 tff(3288,plain,
% 7.78/5.37 (nextState(constB137, constB138)),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 7.78/5.37 tff(3289,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 7.78/5.37 inference(rewrite,[status(thm)],[])).
% 7.78/5.37 tff(3290,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 7.78/5.37 inference(quant_inst,[status(thm)],[])).
% 7.78/5.37 tff(3291,plain,
% 7.78/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))),
% 7.78/5.37 inference(modus_ponens,[status(thm)],[3290, 3289])).
% 7.78/5.37 tff(3292,plain,
% 7.78/5.37 (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))),
% 7.78/5.37 inference(unit_resolution,[status(thm)],[3291, 3288, 392])).
% 7.78/5.37 tff(3293,plain,
% 7.78/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3294,plain,
% 7.80/5.37 (((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138)))))) <=> ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3295,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))))),
% 7.80/5.37 inference(monotonicity,[status(thm)],[3294])).
% 7.80/5.37 tff(3296,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 7.80/5.37 inference(transitivity,[status(thm)],[3295, 3293])).
% 7.80/5.37 tff(3297,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3298,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3297, 3296])).
% 7.80/5.37 tff(3299,plain,
% 7.80/5.37 (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3298, 3288, 412])).
% 7.80/5.37 tff(3300,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3301,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3302,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3301, 3300])).
% 7.80/5.37 tff(3303,plain,
% 7.80/5.37 ((~v102(constB138)) <=> v104(constB138)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3302, 3288, 474])).
% 7.80/5.37 tff(3304,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3305,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3306,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3305, 3304])).
% 7.80/5.37 tff(3307,plain,
% 7.80/5.37 (v104(constB138) <=> v1(constB137)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3306, 3288, 488])).
% 7.80/5.37 tff(3308,plain,
% 7.80/5.37 ((~v1(constB137)) <=> (~v1(constB137))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3309,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137')).
% 7.80/5.37 tff(3310,plain,
% 7.80/5.37 (~v1(constB137)),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3309, 3308])).
% 7.80/5.37 tff(3311,plain,
% 7.80/5.37 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138)) | v1(constB137)),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(3312,plain,
% 7.80/5.37 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3311, 3310])).
% 7.80/5.37 tff(3313,plain,
% 7.80/5.37 (~v104(constB138)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3312, 3307])).
% 7.80/5.37 tff(3314,plain,
% 7.80/5.37 ((~((~v102(constB138)) <=> v104(constB138))) | v102(constB138) | v104(constB138)),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(3315,plain,
% 7.80/5.37 (v102(constB138)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3314, 3313, 3303])).
% 7.80/5.37 tff(3316,plain,
% 7.80/5.37 (v1(constB138) <=> v1(constB138)),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3317,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138')).
% 7.80/5.37 tff(3318,plain,
% 7.80/5.37 (v1(constB138)),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3317, 3316])).
% 7.80/5.37 tff(3319,plain,
% 7.80/5.37 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v1(constB138)) | (~v102(constB138))),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(3320,plain,
% 7.80/5.37 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v102(constB138))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3319, 3318])).
% 7.80/5.37 tff(3321,plain,
% 7.80/5.37 (~((~v1(constB138)) | (~v102(constB138)))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3320, 3315])).
% 7.80/5.37 tff(3322,plain,
% 7.80/5.37 ((~(v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))) | v101(constB138) | ((~v1(constB138)) | (~v102(constB138)))),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(3323,plain,
% 7.80/5.37 (v101(constB138)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3322, 3321, 3299])).
% 7.80/5.37 tff(3324,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3325,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3326,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 7.80/5.37 tff(3327,plain,
% 7.80/5.37 (v110(constB138) <=> v108(constB137)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3326, 3288, 518])).
% 7.80/5.37 tff(3328,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB137) <=> (v111(constB137) | v112(constB137)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3329,plain,
% 7.80/5.37 (v108(constB137) <=> (v111(constB137) | v112(constB137))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3328, 529])).
% 7.80/5.37 tff(3330,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3331,plain,
% 7.80/5.37 (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137))))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3330, 541])).
% 7.80/5.37 tff(3332,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB137) <=> (v114(constB137) | v125(constB137)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3333,plain,
% 7.80/5.37 (v113(constB137) <=> (v114(constB137) | v125(constB137))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3332, 550])).
% 7.80/5.37 tff(3334,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB137) <=> (v115(constB137) | v124(constB137)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3335,plain,
% 7.80/5.37 (v114(constB137) <=> (v115(constB137) | v124(constB137))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3334, 559])).
% 7.80/5.37 tff(3336,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB137) <=> (v116(constB137) | v123(constB137)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3337,plain,
% 7.80/5.37 (v115(constB137) <=> (v116(constB137) | v123(constB137))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3336, 568])).
% 7.80/5.37 tff(3338,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB137) <=> (v117(constB137) | v122(constB137)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3339,plain,
% 7.80/5.37 (v116(constB137) <=> (v117(constB137) | v122(constB137))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3338, 577])).
% 7.80/5.37 tff(3340,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB137) <=> (v118(constB137) | v121(constB137)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3341,plain,
% 7.80/5.37 (v117(constB137) <=> (v118(constB137) | v121(constB137))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3340, 586])).
% 7.80/5.37 tff(3342,plain,
% 7.80/5.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0)))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3343,plain,
% 7.80/5.37 ((v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1))))) <=> (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3344,plain,
% 7.80/5.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0)))))),
% 7.80/5.37 inference(monotonicity,[status(thm)],[3343])).
% 7.80/5.37 tff(3345,plain,
% 7.80/5.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0)))))),
% 7.80/5.37 inference(transitivity,[status(thm)],[3344, 3342])).
% 7.80/5.37 tff(3346,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3347,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 7.80/5.37 tff(3348,plain,
% 7.80/5.37 (v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0)))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3347, 1133])).
% 7.80/5.37 tff(3349,plain,
% 7.80/5.37 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3350,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136')).
% 7.80/5.37 tff(3351,plain,
% 7.80/5.37 (nextState(constB136, constB137)),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 7.80/5.37 tff(3352,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3353,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(3354,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 7.80/5.37 tff(3355,plain,
% 7.80/5.37 (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[3354, 3351, 392])).
% 7.80/5.37 tff(3356,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3357,plain,
% 7.80/5.37 (((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137)))))) <=> ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(3358,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))))),
% 7.80/5.37 inference(monotonicity,[status(thm)],[3357])).
% 7.80/5.37 tff(3359,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 7.80/5.37 inference(transitivity,[status(thm)],[3358, 3356])).
% 7.80/5.37 tff(3360,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3361,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 7.80/5.38 tff(3362,plain,
% 7.80/5.38 (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3361, 3351, 412])).
% 7.80/5.38 tff(3363,plain,
% 7.80/5.38 (((~v1(constB137)) | (~v102(constB137))) | v1(constB137)),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3364,plain,
% 7.80/5.38 ((~v1(constB137)) | (~v102(constB137))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3363, 3310])).
% 7.80/5.38 tff(3365,plain,
% 7.80/5.38 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137)) | (~((~v1(constB137)) | (~v102(constB137))))),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3366,plain,
% 7.80/5.38 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3365, 3364])).
% 7.80/5.38 tff(3367,plain,
% 7.80/5.38 (~v101(constB137)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3366, 3362])).
% 7.80/5.38 tff(3368,plain,
% 7.80/5.38 (((~v101(constB137)) | (~v110(constB137))) | v101(constB137)),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3369,plain,
% 7.80/5.38 ((~v101(constB137)) | (~v110(constB137))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3368, 3367])).
% 7.80/5.38 tff(3370,plain,
% 7.80/5.38 ((~(v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))) | (~v100(constB137)) | (~((~v101(constB137)) | (~v110(constB137))))),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3371,plain,
% 7.80/5.38 (~v100(constB137)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3370, 3369, 3355])).
% 7.80/5.38 tff(3372,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3373,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3374,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 7.80/5.38 tff(3375,plain,
% 7.80/5.38 (v100(constB137) | ![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3374, 3351, 441])).
% 7.80/5.38 tff(3376,plain,
% 7.80/5.38 (![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3375, 3371])).
% 7.80/5.38 tff(3377,plain,
% 7.80/5.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3378,plain,
% 7.80/5.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3379,plain,
% 7.80/5.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3378, 3377])).
% 7.80/5.38 tff(3380,plain,
% 7.80/5.38 (v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3379, 648, 3376])).
% 7.80/5.38 tff(3381,plain,
% 7.80/5.38 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3382,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135')).
% 7.80/5.38 tff(3383,plain,
% 7.80/5.38 (nextState(constB135, constB136)),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3382, 3381])).
% 7.80/5.38 tff(3384,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3385,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3386,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3385, 3384])).
% 7.80/5.38 tff(3387,plain,
% 7.80/5.38 (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3386, 3383, 392])).
% 7.80/5.38 tff(3388,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3389,plain,
% 7.80/5.38 (((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136)))))) <=> ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3390,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))))),
% 7.80/5.38 inference(monotonicity,[status(thm)],[3389])).
% 7.80/5.38 tff(3391,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 7.80/5.38 inference(transitivity,[status(thm)],[3390, 3388])).
% 7.80/5.38 tff(3392,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3393,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 7.80/5.38 tff(3394,plain,
% 7.80/5.38 (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3393, 3383, 412])).
% 7.80/5.38 tff(3395,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3396,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3397,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 7.80/5.38 tff(3398,plain,
% 7.80/5.38 ((~v102(constB136)) <=> v104(constB136)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3397, 3383, 474])).
% 7.80/5.38 tff(3399,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3400,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3401,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3400, 3399])).
% 7.80/5.38 tff(3402,plain,
% 7.80/5.38 (v104(constB136) <=> v1(constB135)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3401, 3383, 488])).
% 7.80/5.38 tff(3403,plain,
% 7.80/5.38 ((~v1(constB135)) <=> (~v1(constB135))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3404,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135')).
% 7.80/5.38 tff(3405,plain,
% 7.80/5.38 (~v1(constB135)),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 7.80/5.38 tff(3406,plain,
% 7.80/5.38 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136)) | v1(constB135)),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3407,plain,
% 7.80/5.38 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3406, 3405])).
% 7.80/5.38 tff(3408,plain,
% 7.80/5.38 (~v104(constB136)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3407, 3402])).
% 7.80/5.38 tff(3409,plain,
% 7.80/5.38 ((~((~v102(constB136)) <=> v104(constB136))) | v102(constB136) | v104(constB136)),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3410,plain,
% 7.80/5.38 (v102(constB136)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3409, 3408, 3398])).
% 7.80/5.38 tff(3411,plain,
% 7.80/5.38 (v1(constB136) <=> v1(constB136)),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3412,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136')).
% 7.80/5.38 tff(3413,plain,
% 7.80/5.38 (v1(constB136)),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3412, 3411])).
% 7.80/5.38 tff(3414,plain,
% 7.80/5.38 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v1(constB136)) | (~v102(constB136))),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3415,plain,
% 7.80/5.38 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v102(constB136))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3414, 3413])).
% 7.80/5.38 tff(3416,plain,
% 7.80/5.38 (~((~v1(constB136)) | (~v102(constB136)))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3415, 3410])).
% 7.80/5.38 tff(3417,plain,
% 7.80/5.38 ((~(v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))) | v101(constB136) | ((~v1(constB136)) | (~v102(constB136)))),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3418,plain,
% 7.80/5.38 (v101(constB136)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3417, 3416, 3394])).
% 7.80/5.38 tff(3419,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3420,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3421,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3420, 3419])).
% 7.80/5.38 tff(3422,plain,
% 7.80/5.38 (v110(constB136) <=> v108(constB135)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3421, 3383, 518])).
% 7.80/5.38 tff(3423,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB135) <=> (v111(constB135) | v112(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3424,plain,
% 7.80/5.38 (v108(constB135) <=> (v111(constB135) | v112(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3423, 529])).
% 7.80/5.38 tff(3425,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3426,plain,
% 7.80/5.38 (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3425, 541])).
% 7.80/5.38 tff(3427,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB135) <=> (v114(constB135) | v125(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3428,plain,
% 7.80/5.38 (v113(constB135) <=> (v114(constB135) | v125(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3427, 550])).
% 7.80/5.38 tff(3429,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB135) <=> (v115(constB135) | v124(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3430,plain,
% 7.80/5.38 (v114(constB135) <=> (v115(constB135) | v124(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3429, 559])).
% 7.80/5.38 tff(3431,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB135) <=> (v116(constB135) | v123(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3432,plain,
% 7.80/5.38 (v115(constB135) <=> (v116(constB135) | v123(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3431, 568])).
% 7.80/5.38 tff(3433,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB135) <=> (v117(constB135) | v122(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3434,plain,
% 7.80/5.38 (v116(constB135) <=> (v117(constB135) | v122(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3433, 577])).
% 7.80/5.38 tff(3435,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB135) <=> (v118(constB135) | v121(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3436,plain,
% 7.80/5.38 (v117(constB135) <=> (v118(constB135) | v121(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3435, 586])).
% 7.80/5.38 tff(3437,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB135) <=> (v119(constB135) | v120(constB135)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3438,plain,
% 7.80/5.38 (v118(constB135) <=> (v119(constB135) | v120(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3437, 595])).
% 7.80/5.38 tff(3439,plain,
% 7.80/5.38 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3440,plain,
% 7.80/5.38 ((v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))))) <=> (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3441,plain,
% 7.80/5.38 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 7.80/5.38 inference(monotonicity,[status(thm)],[3440])).
% 7.80/5.38 tff(3442,plain,
% 7.80/5.38 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))))),
% 7.80/5.38 inference(transitivity,[status(thm)],[3441, 3439])).
% 7.80/5.38 tff(3443,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3444,plain,
% 7.80/5.38 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 7.80/5.38 tff(3445,plain,
% 7.80/5.38 (v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3444, 610])).
% 7.80/5.38 tff(3446,plain,
% 7.80/5.38 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3447,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134')).
% 7.80/5.38 tff(3448,plain,
% 7.80/5.38 (nextState(constB134, constB135)),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3447, 3446])).
% 7.80/5.38 tff(3449,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3450,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3451,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3450, 3449])).
% 7.80/5.38 tff(3452,plain,
% 7.80/5.38 (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3451, 3448, 392])).
% 7.80/5.38 tff(3453,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3454,plain,
% 7.80/5.38 (((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135)))))) <=> ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3455,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))))),
% 7.80/5.38 inference(monotonicity,[status(thm)],[3454])).
% 7.80/5.38 tff(3456,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 7.80/5.38 inference(transitivity,[status(thm)],[3455, 3453])).
% 7.80/5.38 tff(3457,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3458,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 7.80/5.38 tff(3459,plain,
% 7.80/5.38 (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3458, 3448, 412])).
% 7.80/5.38 tff(3460,plain,
% 7.80/5.38 (((~v1(constB135)) | (~v102(constB135))) | v1(constB135)),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3461,plain,
% 7.80/5.38 ((~v1(constB135)) | (~v102(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3460, 3405])).
% 7.80/5.38 tff(3462,plain,
% 7.80/5.38 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135)) | (~((~v1(constB135)) | (~v102(constB135))))),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3463,plain,
% 7.80/5.38 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3462, 3461])).
% 7.80/5.38 tff(3464,plain,
% 7.80/5.38 (~v101(constB135)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3463, 3459])).
% 7.80/5.38 tff(3465,plain,
% 7.80/5.38 (((~v101(constB135)) | (~v110(constB135))) | v101(constB135)),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3466,plain,
% 7.80/5.38 ((~v101(constB135)) | (~v110(constB135))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3465, 3464])).
% 7.80/5.38 tff(3467,plain,
% 7.80/5.38 ((~(v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))) | (~v100(constB135)) | (~((~v101(constB135)) | (~v110(constB135))))),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3468,plain,
% 7.80/5.38 (~v100(constB135)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3467, 3466, 3452])).
% 7.80/5.38 tff(3469,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3470,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3471,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3470, 3469])).
% 7.80/5.38 tff(3472,plain,
% 7.80/5.38 (v100(constB135) | ![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3471, 3448, 441])).
% 7.80/5.38 tff(3473,plain,
% 7.80/5.38 (![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3472, 3468])).
% 7.80/5.38 tff(3474,plain,
% 7.80/5.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3475,plain,
% 7.80/5.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3476,plain,
% 7.80/5.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 7.80/5.38 tff(3477,plain,
% 7.80/5.38 (v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3476, 648, 3473])).
% 7.80/5.38 tff(3478,plain,
% 7.80/5.38 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3479,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133')).
% 7.80/5.38 tff(3480,plain,
% 7.80/5.38 (nextState(constB133, constB134)),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 7.80/5.38 tff(3481,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3482,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3483,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 7.80/5.38 tff(3484,plain,
% 7.80/5.38 (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3483, 3480, 392])).
% 7.80/5.38 tff(3485,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3486,plain,
% 7.80/5.38 (((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134)))))) <=> ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3487,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))))),
% 7.80/5.38 inference(monotonicity,[status(thm)],[3486])).
% 7.80/5.38 tff(3488,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 7.80/5.38 inference(transitivity,[status(thm)],[3487, 3485])).
% 7.80/5.38 tff(3489,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3490,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3489, 3488])).
% 7.80/5.38 tff(3491,plain,
% 7.80/5.38 (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3490, 3480, 412])).
% 7.80/5.38 tff(3492,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3493,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3494,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 7.80/5.38 tff(3495,plain,
% 7.80/5.38 ((~v102(constB134)) <=> v104(constB134)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3494, 3480, 474])).
% 7.80/5.38 tff(3496,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3497,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 7.80/5.38 inference(quant_inst,[status(thm)],[])).
% 7.80/5.38 tff(3498,plain,
% 7.80/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133))),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 7.80/5.38 tff(3499,plain,
% 7.80/5.38 (v104(constB134) <=> v1(constB133)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3498, 3480, 488])).
% 7.80/5.38 tff(3500,plain,
% 7.80/5.38 ((~v1(constB133)) <=> (~v1(constB133))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3501,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133')).
% 7.80/5.38 tff(3502,plain,
% 7.80/5.38 (~v1(constB133)),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3501, 3500])).
% 7.80/5.38 tff(3503,plain,
% 7.80/5.38 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134)) | v1(constB133)),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3504,plain,
% 7.80/5.38 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3503, 3502])).
% 7.80/5.38 tff(3505,plain,
% 7.80/5.38 (~v104(constB134)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3504, 3499])).
% 7.80/5.38 tff(3506,plain,
% 7.80/5.38 ((~((~v102(constB134)) <=> v104(constB134))) | v102(constB134) | v104(constB134)),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3507,plain,
% 7.80/5.38 (v102(constB134)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3506, 3505, 3495])).
% 7.80/5.38 tff(3508,plain,
% 7.80/5.38 (v1(constB134) <=> v1(constB134)),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.38 tff(3509,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134')).
% 7.80/5.38 tff(3510,plain,
% 7.80/5.38 (v1(constB134)),
% 7.80/5.38 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 7.80/5.38 tff(3511,plain,
% 7.80/5.38 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v1(constB134)) | (~v102(constB134))),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3512,plain,
% 7.80/5.38 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v102(constB134))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3511, 3510])).
% 7.80/5.38 tff(3513,plain,
% 7.80/5.38 (~((~v1(constB134)) | (~v102(constB134)))),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3512, 3507])).
% 7.80/5.38 tff(3514,plain,
% 7.80/5.38 ((~(v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))) | v101(constB134) | ((~v1(constB134)) | (~v102(constB134)))),
% 7.80/5.38 inference(tautology,[status(thm)],[])).
% 7.80/5.38 tff(3515,plain,
% 7.80/5.38 (v101(constB134)),
% 7.80/5.38 inference(unit_resolution,[status(thm)],[3514, 3513, 3491])).
% 7.80/5.38 tff(3516,plain,
% 7.80/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 7.80/5.38 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3517,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3518,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 7.80/5.39 tff(3519,plain,
% 7.80/5.39 (v110(constB134) <=> v108(constB133)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3518, 3480, 518])).
% 7.80/5.39 tff(3520,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB133) <=> (v111(constB133) | v112(constB133)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3521,plain,
% 7.80/5.39 (v108(constB133) <=> (v111(constB133) | v112(constB133))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3520, 529])).
% 7.80/5.39 tff(3522,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3523,plain,
% 7.80/5.39 (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3522, 541])).
% 7.80/5.39 tff(3524,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB133) <=> (v114(constB133) | v125(constB133)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3525,plain,
% 7.80/5.39 (v113(constB133) <=> (v114(constB133) | v125(constB133))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3524, 550])).
% 7.80/5.39 tff(3526,plain,
% 7.80/5.39 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3527,plain,
% 7.80/5.39 ((v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2))))) <=> (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3528,plain,
% 7.80/5.39 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))))),
% 7.80/5.39 inference(monotonicity,[status(thm)],[3527])).
% 7.80/5.39 tff(3529,plain,
% 7.80/5.39 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))))),
% 7.80/5.39 inference(transitivity,[status(thm)],[3528, 3526])).
% 7.80/5.39 tff(3530,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3531,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3530, 3529])).
% 7.80/5.39 tff(3532,plain,
% 7.80/5.39 (v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3531, 713])).
% 7.80/5.39 tff(3533,plain,
% 7.80/5.39 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3534,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132')).
% 7.80/5.39 tff(3535,plain,
% 7.80/5.39 (nextState(constB132, constB133)),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 7.80/5.39 tff(3536,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3537,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3538,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 7.80/5.39 tff(3539,plain,
% 7.80/5.39 (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3538, 3535, 392])).
% 7.80/5.39 tff(3540,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3541,plain,
% 7.80/5.39 (((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133)))))) <=> ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3542,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))))),
% 7.80/5.39 inference(monotonicity,[status(thm)],[3541])).
% 7.80/5.39 tff(3543,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 7.80/5.39 inference(transitivity,[status(thm)],[3542, 3540])).
% 7.80/5.39 tff(3544,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3545,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3544, 3543])).
% 7.80/5.39 tff(3546,plain,
% 7.80/5.39 (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3545, 3535, 412])).
% 7.80/5.39 tff(3547,plain,
% 7.80/5.39 (((~v1(constB133)) | (~v102(constB133))) | v1(constB133)),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3548,plain,
% 7.80/5.39 ((~v1(constB133)) | (~v102(constB133))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3547, 3502])).
% 7.80/5.39 tff(3549,plain,
% 7.80/5.39 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133)) | (~((~v1(constB133)) | (~v102(constB133))))),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3550,plain,
% 7.80/5.39 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3549, 3548])).
% 7.80/5.39 tff(3551,plain,
% 7.80/5.39 (~v101(constB133)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3550, 3546])).
% 7.80/5.39 tff(3552,plain,
% 7.80/5.39 (((~v101(constB133)) | (~v110(constB133))) | v101(constB133)),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3553,plain,
% 7.80/5.39 ((~v101(constB133)) | (~v110(constB133))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3552, 3551])).
% 7.80/5.39 tff(3554,plain,
% 7.80/5.39 ((~(v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))) | (~v100(constB133)) | (~((~v101(constB133)) | (~v110(constB133))))),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3555,plain,
% 7.80/5.39 (~v100(constB133)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3554, 3553, 3539])).
% 7.80/5.39 tff(3556,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3557,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3558,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 7.80/5.39 tff(3559,plain,
% 7.80/5.39 (v100(constB133) | ![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3558, 3535, 441])).
% 7.80/5.39 tff(3560,plain,
% 7.80/5.39 (![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3559, 3555])).
% 7.80/5.39 tff(3561,plain,
% 7.80/5.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3562,plain,
% 7.80/5.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3563,plain,
% 7.80/5.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3562, 3561])).
% 7.80/5.39 tff(3564,plain,
% 7.80/5.39 (v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3563, 648, 3560])).
% 7.80/5.39 tff(3565,plain,
% 7.80/5.39 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3566,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131')).
% 7.80/5.39 tff(3567,plain,
% 7.80/5.39 (nextState(constB131, constB132)),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3566, 3565])).
% 7.80/5.39 tff(3568,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3569,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3570,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 7.80/5.39 tff(3571,plain,
% 7.80/5.39 (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3570, 3567, 392])).
% 7.80/5.39 tff(3572,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3573,plain,
% 7.80/5.39 (((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132)))))) <=> ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3574,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))))),
% 7.80/5.39 inference(monotonicity,[status(thm)],[3573])).
% 7.80/5.39 tff(3575,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 7.80/5.39 inference(transitivity,[status(thm)],[3574, 3572])).
% 7.80/5.39 tff(3576,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3577,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 7.80/5.39 tff(3578,plain,
% 7.80/5.39 (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3577, 3567, 412])).
% 7.80/5.39 tff(3579,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3580,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3581,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 7.80/5.39 tff(3582,plain,
% 7.80/5.39 ((~v102(constB132)) <=> v104(constB132)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3581, 3567, 474])).
% 7.80/5.39 tff(3583,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3584,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3585,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 7.80/5.39 tff(3586,plain,
% 7.80/5.39 (v104(constB132) <=> v1(constB131)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3585, 3567, 488])).
% 7.80/5.39 tff(3587,plain,
% 7.80/5.39 ((~v1(constB131)) <=> (~v1(constB131))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3588,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131')).
% 7.80/5.39 tff(3589,plain,
% 7.80/5.39 (~v1(constB131)),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3588, 3587])).
% 7.80/5.39 tff(3590,plain,
% 7.80/5.39 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132)) | v1(constB131)),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3591,plain,
% 7.80/5.39 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3590, 3589])).
% 7.80/5.39 tff(3592,plain,
% 7.80/5.39 (~v104(constB132)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3591, 3586])).
% 7.80/5.39 tff(3593,plain,
% 7.80/5.39 ((~((~v102(constB132)) <=> v104(constB132))) | v102(constB132) | v104(constB132)),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3594,plain,
% 7.80/5.39 (v102(constB132)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3593, 3592, 3582])).
% 7.80/5.39 tff(3595,plain,
% 7.80/5.39 (v1(constB132) <=> v1(constB132)),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3596,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132')).
% 7.80/5.39 tff(3597,plain,
% 7.80/5.39 (v1(constB132)),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3596, 3595])).
% 7.80/5.39 tff(3598,plain,
% 7.80/5.39 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v1(constB132)) | (~v102(constB132))),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3599,plain,
% 7.80/5.39 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v102(constB132))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3598, 3597])).
% 7.80/5.39 tff(3600,plain,
% 7.80/5.39 (~((~v1(constB132)) | (~v102(constB132)))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3599, 3594])).
% 7.80/5.39 tff(3601,plain,
% 7.80/5.39 ((~(v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))) | v101(constB132) | ((~v1(constB132)) | (~v102(constB132)))),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3602,plain,
% 7.80/5.39 (v101(constB132)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3601, 3600, 3578])).
% 7.80/5.39 tff(3603,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3604,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3605,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3604, 3603])).
% 7.80/5.39 tff(3606,plain,
% 7.80/5.39 (v110(constB132) <=> v108(constB131)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3605, 3567, 518])).
% 7.80/5.39 tff(3607,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB131) <=> (v111(constB131) | v112(constB131)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3608,plain,
% 7.80/5.39 (v108(constB131) <=> (v111(constB131) | v112(constB131))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3607, 529])).
% 7.80/5.39 tff(3609,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3610,plain,
% 7.80/5.39 (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3609, 541])).
% 7.80/5.39 tff(3611,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB131) <=> (v114(constB131) | v125(constB131)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3612,plain,
% 7.80/5.39 (v113(constB131) <=> (v114(constB131) | v125(constB131))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3611, 550])).
% 7.80/5.39 tff(3613,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB131) <=> (v115(constB131) | v124(constB131)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3614,plain,
% 7.80/5.39 (v114(constB131) <=> (v115(constB131) | v124(constB131))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3613, 559])).
% 7.80/5.39 tff(3615,plain,
% 7.80/5.39 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3616,plain,
% 7.80/5.39 ((v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2))))) <=> (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3617,plain,
% 7.80/5.39 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0))))))),
% 7.80/5.39 inference(monotonicity,[status(thm)],[3616])).
% 7.80/5.39 tff(3618,plain,
% 7.80/5.39 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0))))))),
% 7.80/5.39 inference(transitivity,[status(thm)],[3617, 3615])).
% 7.80/5.39 tff(3619,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2)))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3620,plain,
% 7.80/5.39 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3619, 3618])).
% 7.80/5.39 tff(3621,plain,
% 7.80/5.39 (v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3620, 815])).
% 7.80/5.39 tff(3622,plain,
% 7.80/5.39 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3623,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130')).
% 7.80/5.39 tff(3624,plain,
% 7.80/5.39 (nextState(constB130, constB131)),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3623, 3622])).
% 7.80/5.39 tff(3625,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3626,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3627,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 7.80/5.39 tff(3628,plain,
% 7.80/5.39 (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3627, 3624, 392])).
% 7.80/5.39 tff(3629,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3630,plain,
% 7.80/5.39 (((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3631,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))))),
% 7.80/5.39 inference(monotonicity,[status(thm)],[3630])).
% 7.80/5.39 tff(3632,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 7.80/5.39 inference(transitivity,[status(thm)],[3631, 3629])).
% 7.80/5.39 tff(3633,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3634,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3633, 3632])).
% 7.80/5.39 tff(3635,plain,
% 7.80/5.39 (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3634, 3624, 412])).
% 7.80/5.39 tff(3636,plain,
% 7.80/5.39 (((~v1(constB131)) | (~v102(constB131))) | v1(constB131)),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3637,plain,
% 7.80/5.39 ((~v1(constB131)) | (~v102(constB131))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3636, 3589])).
% 7.80/5.39 tff(3638,plain,
% 7.80/5.39 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131)) | (~((~v1(constB131)) | (~v102(constB131))))),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3639,plain,
% 7.80/5.39 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3638, 3637])).
% 7.80/5.39 tff(3640,plain,
% 7.80/5.39 (~v101(constB131)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3639, 3635])).
% 7.80/5.39 tff(3641,plain,
% 7.80/5.39 (((~v101(constB131)) | (~v110(constB131))) | v101(constB131)),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3642,plain,
% 7.80/5.39 ((~v101(constB131)) | (~v110(constB131))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3641, 3640])).
% 7.80/5.39 tff(3643,plain,
% 7.80/5.39 ((~(v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))) | (~v100(constB131)) | (~((~v101(constB131)) | (~v110(constB131))))),
% 7.80/5.39 inference(tautology,[status(thm)],[])).
% 7.80/5.39 tff(3644,plain,
% 7.80/5.39 (~v100(constB131)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3643, 3642, 3628])).
% 7.80/5.39 tff(3645,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3646,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3647,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 7.80/5.39 tff(3648,plain,
% 7.80/5.39 (v100(constB131) | ![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3647, 3624, 441])).
% 7.80/5.39 tff(3649,plain,
% 7.80/5.39 (![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3648, 3644])).
% 7.80/5.39 tff(3650,plain,
% 7.80/5.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3651,plain,
% 7.80/5.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3652,plain,
% 7.80/5.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3651, 3650])).
% 7.80/5.39 tff(3653,plain,
% 7.80/5.39 (v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2)),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3652, 648, 3649])).
% 7.80/5.39 tff(3654,plain,
% 7.80/5.39 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3655,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129')).
% 7.80/5.39 tff(3656,plain,
% 7.80/5.39 (nextState(constB129, constB130)),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3655, 3654])).
% 7.80/5.39 tff(3657,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 7.80/5.39 inference(rewrite,[status(thm)],[])).
% 7.80/5.39 tff(3658,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 7.80/5.39 inference(quant_inst,[status(thm)],[])).
% 7.80/5.39 tff(3659,plain,
% 7.80/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))),
% 7.80/5.39 inference(modus_ponens,[status(thm)],[3658, 3657])).
% 7.80/5.39 tff(3660,plain,
% 7.80/5.39 (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))),
% 7.80/5.39 inference(unit_resolution,[status(thm)],[3659, 3656, 392])).
% 7.80/5.39 tff(3661,plain,
% 7.80/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3662,plain,
% 7.80/5.40 (((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3663,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))))),
% 7.80/5.40 inference(monotonicity,[status(thm)],[3662])).
% 7.80/5.40 tff(3664,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 7.80/5.40 inference(transitivity,[status(thm)],[3663, 3661])).
% 7.80/5.40 tff(3665,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3666,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 7.80/5.40 tff(3667,plain,
% 7.80/5.40 (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3666, 3656, 412])).
% 7.80/5.40 tff(3668,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3669,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3670,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 7.80/5.40 tff(3671,plain,
% 7.80/5.40 ((~v102(constB130)) <=> v104(constB130)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3670, 3656, 474])).
% 7.80/5.40 tff(3672,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3673,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3674,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 7.80/5.40 tff(3675,plain,
% 7.80/5.40 (v104(constB130) <=> v1(constB129)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3674, 3656, 488])).
% 7.80/5.40 tff(3676,plain,
% 7.80/5.40 ((~v1(constB129)) <=> (~v1(constB129))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3677,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129')).
% 7.80/5.40 tff(3678,plain,
% 7.80/5.40 (~v1(constB129)),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 7.80/5.40 tff(3679,plain,
% 7.80/5.40 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130)) | v1(constB129)),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3680,plain,
% 7.80/5.40 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3679, 3678])).
% 7.80/5.40 tff(3681,plain,
% 7.80/5.40 (~v104(constB130)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3680, 3675])).
% 7.80/5.40 tff(3682,plain,
% 7.80/5.40 ((~((~v102(constB130)) <=> v104(constB130))) | v102(constB130) | v104(constB130)),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3683,plain,
% 7.80/5.40 (v102(constB130)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3682, 3681, 3671])).
% 7.80/5.40 tff(3684,plain,
% 7.80/5.40 (v1(constB130) <=> v1(constB130)),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3685,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130')).
% 7.80/5.40 tff(3686,plain,
% 7.80/5.40 (v1(constB130)),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3685, 3684])).
% 7.80/5.40 tff(3687,plain,
% 7.80/5.40 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v1(constB130)) | (~v102(constB130))),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3688,plain,
% 7.80/5.40 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v102(constB130))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3687, 3686])).
% 7.80/5.40 tff(3689,plain,
% 7.80/5.40 (~((~v1(constB130)) | (~v102(constB130)))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3688, 3683])).
% 7.80/5.40 tff(3690,plain,
% 7.80/5.40 ((~(v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))) | v101(constB130) | ((~v1(constB130)) | (~v102(constB130)))),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3691,plain,
% 7.80/5.40 (v101(constB130)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3690, 3689, 3667])).
% 7.80/5.40 tff(3692,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3693,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3694,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3693, 3692])).
% 7.80/5.40 tff(3695,plain,
% 7.80/5.40 (v110(constB130) <=> v108(constB129)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3694, 3656, 518])).
% 7.80/5.40 tff(3696,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB129) <=> (v111(constB129) | v112(constB129)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3697,plain,
% 7.80/5.40 (v108(constB129) <=> (v111(constB129) | v112(constB129))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3696, 529])).
% 7.80/5.40 tff(3698,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3699,plain,
% 7.80/5.40 (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3698, 541])).
% 7.80/5.40 tff(3700,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB129) <=> (v114(constB129) | v125(constB129)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3701,plain,
% 7.80/5.40 (v113(constB129) <=> (v114(constB129) | v125(constB129))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3700, 550])).
% 7.80/5.40 tff(3702,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB129) <=> (v115(constB129) | v124(constB129)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3703,plain,
% 7.80/5.40 (v114(constB129) <=> (v115(constB129) | v124(constB129))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3702, 559])).
% 7.80/5.40 tff(3704,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB129) <=> (v116(constB129) | v123(constB129)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3705,plain,
% 7.80/5.40 (v115(constB129) <=> (v116(constB129) | v123(constB129))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3704, 568])).
% 7.80/5.40 tff(3706,plain,
% 7.80/5.40 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0)))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3707,plain,
% 7.80/5.40 ((v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2))))) <=> (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3708,plain,
% 7.80/5.40 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0)))))),
% 7.80/5.40 inference(monotonicity,[status(thm)],[3707])).
% 7.80/5.40 tff(3709,plain,
% 7.80/5.40 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0)))))),
% 7.80/5.40 inference(transitivity,[status(thm)],[3708, 3706])).
% 7.80/5.40 tff(3710,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3711,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 7.80/5.40 tff(3712,plain,
% 7.80/5.40 (v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0)))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3711, 919])).
% 7.80/5.40 tff(3713,plain,
% 7.80/5.40 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3714,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128')).
% 7.80/5.40 tff(3715,plain,
% 7.80/5.40 (nextState(constB128, constB129)),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 7.80/5.40 tff(3716,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3717,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3718,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 7.80/5.40 tff(3719,plain,
% 7.80/5.40 (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3718, 3715, 392])).
% 7.80/5.40 tff(3720,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3721,plain,
% 7.80/5.40 (((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129)))))) <=> ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3722,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))))),
% 7.80/5.40 inference(monotonicity,[status(thm)],[3721])).
% 7.80/5.40 tff(3723,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 7.80/5.40 inference(transitivity,[status(thm)],[3722, 3720])).
% 7.80/5.40 tff(3724,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3725,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 7.80/5.40 tff(3726,plain,
% 7.80/5.40 (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3725, 3715, 412])).
% 7.80/5.40 tff(3727,plain,
% 7.80/5.40 (((~v1(constB129)) | (~v102(constB129))) | v1(constB129)),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3728,plain,
% 7.80/5.40 ((~v1(constB129)) | (~v102(constB129))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3727, 3678])).
% 7.80/5.40 tff(3729,plain,
% 7.80/5.40 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129)) | (~((~v1(constB129)) | (~v102(constB129))))),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3730,plain,
% 7.80/5.40 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3729, 3728])).
% 7.80/5.40 tff(3731,plain,
% 7.80/5.40 (~v101(constB129)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3730, 3726])).
% 7.80/5.40 tff(3732,plain,
% 7.80/5.40 (((~v101(constB129)) | (~v110(constB129))) | v101(constB129)),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3733,plain,
% 7.80/5.40 ((~v101(constB129)) | (~v110(constB129))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3732, 3731])).
% 7.80/5.40 tff(3734,plain,
% 7.80/5.40 ((~(v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))) | (~v100(constB129)) | (~((~v101(constB129)) | (~v110(constB129))))),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3735,plain,
% 7.80/5.40 (~v100(constB129)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3734, 3733, 3719])).
% 7.80/5.40 tff(3736,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3737,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3738,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 7.80/5.40 tff(3739,plain,
% 7.80/5.40 (v100(constB129) | ![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3738, 3715, 441])).
% 7.80/5.40 tff(3740,plain,
% 7.80/5.40 (![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3739, 3735])).
% 7.80/5.40 tff(3741,plain,
% 7.80/5.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3742,plain,
% 7.80/5.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3743,plain,
% 7.80/5.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 7.80/5.40 tff(3744,plain,
% 7.80/5.40 (v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3743, 648, 3740])).
% 7.80/5.40 tff(3745,plain,
% 7.80/5.40 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3746,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127')).
% 7.80/5.40 tff(3747,plain,
% 7.80/5.40 (nextState(constB127, constB128)),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 7.80/5.40 tff(3748,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3749,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3750,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 7.80/5.40 tff(3751,plain,
% 7.80/5.40 (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3750, 3747, 392])).
% 7.80/5.40 tff(3752,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3753,plain,
% 7.80/5.40 (((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128)))))) <=> ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3754,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))))),
% 7.80/5.40 inference(monotonicity,[status(thm)],[3753])).
% 7.80/5.40 tff(3755,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 7.80/5.40 inference(transitivity,[status(thm)],[3754, 3752])).
% 7.80/5.40 tff(3756,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3757,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3756, 3755])).
% 7.80/5.40 tff(3758,plain,
% 7.80/5.40 (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3757, 3747, 412])).
% 7.80/5.40 tff(3759,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3760,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3761,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 7.80/5.40 tff(3762,plain,
% 7.80/5.40 ((~v102(constB128)) <=> v104(constB128)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3761, 3747, 474])).
% 7.80/5.40 tff(3763,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3764,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3765,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3764, 3763])).
% 7.80/5.40 tff(3766,plain,
% 7.80/5.40 (v104(constB128) <=> v1(constB127)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3765, 3747, 488])).
% 7.80/5.40 tff(3767,plain,
% 7.80/5.40 ((~v1(constB127)) <=> (~v1(constB127))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3768,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127')).
% 7.80/5.40 tff(3769,plain,
% 7.80/5.40 (~v1(constB127)),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3768, 3767])).
% 7.80/5.40 tff(3770,plain,
% 7.80/5.40 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128)) | v1(constB127)),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3771,plain,
% 7.80/5.40 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3770, 3769])).
% 7.80/5.40 tff(3772,plain,
% 7.80/5.40 (~v104(constB128)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3771, 3766])).
% 7.80/5.40 tff(3773,plain,
% 7.80/5.40 ((~((~v102(constB128)) <=> v104(constB128))) | v102(constB128) | v104(constB128)),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3774,plain,
% 7.80/5.40 (v102(constB128)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3773, 3772, 3762])).
% 7.80/5.40 tff(3775,plain,
% 7.80/5.40 (v1(constB128) <=> v1(constB128)),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3776,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128')).
% 7.80/5.40 tff(3777,plain,
% 7.80/5.40 (v1(constB128)),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3776, 3775])).
% 7.80/5.40 tff(3778,plain,
% 7.80/5.40 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v1(constB128)) | (~v102(constB128))),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3779,plain,
% 7.80/5.40 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v102(constB128))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3778, 3777])).
% 7.80/5.40 tff(3780,plain,
% 7.80/5.40 (~((~v1(constB128)) | (~v102(constB128)))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3779, 3774])).
% 7.80/5.40 tff(3781,plain,
% 7.80/5.40 ((~(v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))) | v101(constB128) | ((~v1(constB128)) | (~v102(constB128)))),
% 7.80/5.40 inference(tautology,[status(thm)],[])).
% 7.80/5.40 tff(3782,plain,
% 7.80/5.40 (v101(constB128)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3781, 3780, 3758])).
% 7.80/5.40 tff(3783,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3784,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3785,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3784, 3783])).
% 7.80/5.40 tff(3786,plain,
% 7.80/5.40 (v110(constB128) <=> v108(constB127)),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3785, 3747, 518])).
% 7.80/5.40 tff(3787,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB127) <=> (v111(constB127) | v112(constB127)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3788,plain,
% 7.80/5.40 (v108(constB127) <=> (v111(constB127) | v112(constB127))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3787, 529])).
% 7.80/5.40 tff(3789,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3790,plain,
% 7.80/5.40 (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3789, 541])).
% 7.80/5.40 tff(3791,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB127) <=> (v114(constB127) | v125(constB127)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3792,plain,
% 7.80/5.40 (v113(constB127) <=> (v114(constB127) | v125(constB127))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3791, 550])).
% 7.80/5.40 tff(3793,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB127) <=> (v115(constB127) | v124(constB127)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3794,plain,
% 7.80/5.40 (v114(constB127) <=> (v115(constB127) | v124(constB127))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3793, 559])).
% 7.80/5.40 tff(3795,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB127) <=> (v116(constB127) | v123(constB127)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3796,plain,
% 7.80/5.40 (v115(constB127) <=> (v116(constB127) | v123(constB127))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3795, 568])).
% 7.80/5.40 tff(3797,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB127) <=> (v117(constB127) | v122(constB127)))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3798,plain,
% 7.80/5.40 (v116(constB127) <=> (v117(constB127) | v122(constB127))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3797, 577])).
% 7.80/5.40 tff(3799,plain,
% 7.80/5.40 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3800,plain,
% 7.80/5.40 ((v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1))))) <=> (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3801,plain,
% 7.80/5.40 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))))),
% 7.80/5.40 inference(monotonicity,[status(thm)],[3800])).
% 7.80/5.40 tff(3802,plain,
% 7.80/5.40 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))))),
% 7.80/5.40 inference(transitivity,[status(thm)],[3801, 3799])).
% 7.80/5.40 tff(3803,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3804,plain,
% 7.80/5.40 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 7.80/5.40 tff(3805,plain,
% 7.80/5.40 (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3804, 1025])).
% 7.80/5.40 tff(3806,plain,
% 7.80/5.40 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3807,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126')).
% 7.80/5.40 tff(3808,plain,
% 7.80/5.40 (nextState(constB126, constB127)),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 7.80/5.40 tff(3809,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3810,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3811,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))),
% 7.80/5.40 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 7.80/5.40 tff(3812,plain,
% 7.80/5.40 (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))),
% 7.80/5.40 inference(unit_resolution,[status(thm)],[3811, 3808, 392])).
% 7.80/5.40 tff(3813,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3814,plain,
% 7.80/5.40 (((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127)))))) <=> ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 7.80/5.40 inference(rewrite,[status(thm)],[])).
% 7.80/5.40 tff(3815,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))))),
% 7.80/5.40 inference(monotonicity,[status(thm)],[3814])).
% 7.80/5.40 tff(3816,plain,
% 7.80/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 7.80/5.40 inference(transitivity,[status(thm)],[3815, 3813])).
% 7.80/5.40 tff(3817,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))),
% 7.80/5.40 inference(quant_inst,[status(thm)],[])).
% 7.80/5.40 tff(3818,plain,
% 7.80/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3817, 3816])).
% 7.80/5.41 tff(3819,plain,
% 7.80/5.41 (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3818, 3808, 412])).
% 7.80/5.41 tff(3820,plain,
% 7.80/5.41 (((~v1(constB127)) | (~v102(constB127))) | v1(constB127)),
% 7.80/5.41 inference(tautology,[status(thm)],[])).
% 7.80/5.41 tff(3821,plain,
% 7.80/5.41 ((~v1(constB127)) | (~v102(constB127))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3820, 3769])).
% 7.80/5.41 tff(3822,plain,
% 7.80/5.41 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127)) | (~((~v1(constB127)) | (~v102(constB127))))),
% 7.80/5.41 inference(tautology,[status(thm)],[])).
% 7.80/5.41 tff(3823,plain,
% 7.80/5.41 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3822, 3821])).
% 7.80/5.41 tff(3824,plain,
% 7.80/5.41 (~v101(constB127)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3823, 3819])).
% 7.80/5.41 tff(3825,plain,
% 7.80/5.41 (((~v101(constB127)) | (~v110(constB127))) | v101(constB127)),
% 7.80/5.41 inference(tautology,[status(thm)],[])).
% 7.80/5.41 tff(3826,plain,
% 7.80/5.41 ((~v101(constB127)) | (~v110(constB127))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3825, 3824])).
% 7.80/5.41 tff(3827,plain,
% 7.80/5.41 ((~(v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))) | (~v100(constB127)) | (~((~v101(constB127)) | (~v110(constB127))))),
% 7.80/5.41 inference(tautology,[status(thm)],[])).
% 7.80/5.41 tff(3828,plain,
% 7.80/5.41 (~v100(constB127)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3827, 3826, 3812])).
% 7.80/5.41 tff(3829,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3830,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B))))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3831,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3830, 3829])).
% 7.80/5.41 tff(3832,plain,
% 7.80/5.41 (v100(constB127) | ![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3831, 3808, 441])).
% 7.80/5.41 tff(3833,plain,
% 7.80/5.41 (![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3832, 3828])).
% 7.80/5.41 tff(3834,plain,
% 7.80/5.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3835,plain,
% 7.80/5.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3836,plain,
% 7.80/5.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3835, 3834])).
% 7.80/5.41 tff(3837,plain,
% 7.80/5.41 (v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3836, 648, 3833])).
% 7.80/5.41 tff(3838,plain,
% 7.80/5.41 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3839,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125')).
% 7.80/5.41 tff(3840,plain,
% 7.80/5.41 (nextState(constB125, constB126)),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 7.80/5.41 tff(3841,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3842,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3843,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3842, 3841])).
% 7.80/5.41 tff(3844,plain,
% 7.80/5.41 (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3843, 3840, 392])).
% 7.80/5.41 tff(3845,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3846,plain,
% 7.80/5.41 (((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126)))))) <=> ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3847,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))))),
% 7.80/5.41 inference(monotonicity,[status(thm)],[3846])).
% 7.80/5.41 tff(3848,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 7.80/5.41 inference(transitivity,[status(thm)],[3847, 3845])).
% 7.80/5.41 tff(3849,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3850,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3849, 3848])).
% 7.80/5.41 tff(3851,plain,
% 7.80/5.41 (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3850, 3840, 412])).
% 7.80/5.41 tff(3852,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3853,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3854,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3853, 3852])).
% 7.80/5.41 tff(3855,plain,
% 7.80/5.41 ((~v102(constB126)) <=> v104(constB126)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3854, 3840, 474])).
% 7.80/5.41 tff(3856,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3857,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3858,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3857, 3856])).
% 7.80/5.41 tff(3859,plain,
% 7.80/5.41 (v104(constB126) <=> v1(constB125)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3858, 3840, 488])).
% 7.80/5.41 tff(3860,plain,
% 7.80/5.41 ((~v1(constB125)) <=> (~v1(constB125))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3861,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125')).
% 7.80/5.41 tff(3862,plain,
% 7.80/5.41 (~v1(constB125)),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3861, 3860])).
% 7.80/5.41 tff(3863,plain,
% 7.80/5.41 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126)) | v1(constB125)),
% 7.80/5.41 inference(tautology,[status(thm)],[])).
% 7.80/5.41 tff(3864,plain,
% 7.80/5.41 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3863, 3862])).
% 7.80/5.41 tff(3865,plain,
% 7.80/5.41 (~v104(constB126)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3864, 3859])).
% 7.80/5.41 tff(3866,plain,
% 7.80/5.41 ((~((~v102(constB126)) <=> v104(constB126))) | v102(constB126) | v104(constB126)),
% 7.80/5.41 inference(tautology,[status(thm)],[])).
% 7.80/5.41 tff(3867,plain,
% 7.80/5.41 (v102(constB126)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3866, 3865, 3855])).
% 7.80/5.41 tff(3868,plain,
% 7.80/5.41 (v1(constB126) <=> v1(constB126)),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3869,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126')).
% 7.80/5.41 tff(3870,plain,
% 7.80/5.41 (v1(constB126)),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3869, 3868])).
% 7.80/5.41 tff(3871,plain,
% 7.80/5.41 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v1(constB126)) | (~v102(constB126))),
% 7.80/5.41 inference(tautology,[status(thm)],[])).
% 7.80/5.41 tff(3872,plain,
% 7.80/5.41 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v102(constB126))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3871, 3870])).
% 7.80/5.41 tff(3873,plain,
% 7.80/5.41 (~((~v1(constB126)) | (~v102(constB126)))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3872, 3867])).
% 7.80/5.41 tff(3874,plain,
% 7.80/5.41 ((~(v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))) | v101(constB126) | ((~v1(constB126)) | (~v102(constB126)))),
% 7.80/5.41 inference(tautology,[status(thm)],[])).
% 7.80/5.41 tff(3875,plain,
% 7.80/5.41 (v101(constB126)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3874, 3873, 3851])).
% 7.80/5.41 tff(3876,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3877,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3878,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3877, 3876])).
% 7.80/5.41 tff(3879,plain,
% 7.80/5.41 (v110(constB126) <=> v108(constB125)),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3878, 3840, 518])).
% 7.80/5.41 tff(3880,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB125) <=> (v111(constB125) | v112(constB125)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3881,plain,
% 7.80/5.41 (v108(constB125) <=> (v111(constB125) | v112(constB125))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3880, 529])).
% 7.80/5.41 tff(3882,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3883,plain,
% 7.80/5.41 (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125))))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3882, 541])).
% 7.80/5.41 tff(3884,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB125) <=> (v114(constB125) | v125(constB125)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3885,plain,
% 7.80/5.41 (v113(constB125) <=> (v114(constB125) | v125(constB125))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3884, 550])).
% 7.80/5.41 tff(3886,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB125) <=> (v115(constB125) | v124(constB125)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3887,plain,
% 7.80/5.41 (v114(constB125) <=> (v115(constB125) | v124(constB125))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3886, 559])).
% 7.80/5.41 tff(3888,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB125) <=> (v116(constB125) | v123(constB125)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3889,plain,
% 7.80/5.41 (v115(constB125) <=> (v116(constB125) | v123(constB125))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3888, 568])).
% 7.80/5.41 tff(3890,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB125) <=> (v117(constB125) | v122(constB125)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3891,plain,
% 7.80/5.41 (v116(constB125) <=> (v117(constB125) | v122(constB125))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3890, 577])).
% 7.80/5.41 tff(3892,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB125) <=> (v118(constB125) | v121(constB125)))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3893,plain,
% 7.80/5.41 (v117(constB125) <=> (v118(constB125) | v121(constB125))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3892, 586])).
% 7.80/5.41 tff(3894,plain,
% 7.80/5.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3895,plain,
% 7.80/5.41 ((v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1))))) <=> (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3896,plain,
% 7.80/5.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 7.80/5.41 inference(monotonicity,[status(thm)],[3895])).
% 7.80/5.41 tff(3897,plain,
% 7.80/5.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))))),
% 7.80/5.41 inference(transitivity,[status(thm)],[3896, 3894])).
% 7.80/5.41 tff(3898,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3899,plain,
% 7.80/5.41 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 7.80/5.41 tff(3900,plain,
% 7.80/5.41 (v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3899, 1133])).
% 7.80/5.41 tff(3901,plain,
% 7.80/5.41 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3902,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124')).
% 7.80/5.41 tff(3903,plain,
% 7.80/5.41 (nextState(constB124, constB125)),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3902, 3901])).
% 7.80/5.41 tff(3904,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3905,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 7.80/5.41 inference(quant_inst,[status(thm)],[])).
% 7.80/5.41 tff(3906,plain,
% 7.80/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))),
% 7.80/5.41 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 7.80/5.41 tff(3907,plain,
% 7.80/5.41 (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))),
% 7.80/5.41 inference(unit_resolution,[status(thm)],[3906, 3903, 392])).
% 7.80/5.41 tff(3908,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3909,plain,
% 7.80/5.41 (((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125)))))) <=> ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 7.80/5.41 inference(rewrite,[status(thm)],[])).
% 7.80/5.41 tff(3910,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))))),
% 7.80/5.41 inference(monotonicity,[status(thm)],[3909])).
% 7.80/5.41 tff(3911,plain,
% 7.80/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 7.80/5.41 inference(transitivity,[status(thm)],[3910, 3908])).
% 7.84/5.41 tff(3912,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))),
% 7.84/5.41 inference(quant_inst,[status(thm)],[])).
% 7.84/5.41 tff(3913,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3912, 3911])).
% 7.84/5.41 tff(3914,plain,
% 7.84/5.41 (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3913, 3903, 412])).
% 7.84/5.41 tff(3915,plain,
% 7.84/5.41 (((~v1(constB125)) | (~v102(constB125))) | v1(constB125)),
% 7.84/5.41 inference(tautology,[status(thm)],[])).
% 7.84/5.41 tff(3916,plain,
% 7.84/5.41 ((~v1(constB125)) | (~v102(constB125))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3915, 3862])).
% 7.84/5.41 tff(3917,plain,
% 7.84/5.41 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125)) | (~((~v1(constB125)) | (~v102(constB125))))),
% 7.84/5.41 inference(tautology,[status(thm)],[])).
% 7.84/5.41 tff(3918,plain,
% 7.84/5.41 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3917, 3916])).
% 7.84/5.41 tff(3919,plain,
% 7.84/5.41 (~v101(constB125)),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3918, 3914])).
% 7.84/5.41 tff(3920,plain,
% 7.84/5.41 (((~v101(constB125)) | (~v110(constB125))) | v101(constB125)),
% 7.84/5.41 inference(tautology,[status(thm)],[])).
% 7.84/5.41 tff(3921,plain,
% 7.84/5.41 ((~v101(constB125)) | (~v110(constB125))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3920, 3919])).
% 7.84/5.41 tff(3922,plain,
% 7.84/5.41 ((~(v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))) | (~v100(constB125)) | (~((~v101(constB125)) | (~v110(constB125))))),
% 7.84/5.41 inference(tautology,[status(thm)],[])).
% 7.84/5.41 tff(3923,plain,
% 7.84/5.41 (~v100(constB125)),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3922, 3921, 3907])).
% 7.84/5.41 tff(3924,plain,
% 7.84/5.41 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B))))),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3925,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B))))),
% 7.84/5.41 inference(quant_inst,[status(thm)],[])).
% 7.84/5.41 tff(3926,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3925, 3924])).
% 7.84/5.41 tff(3927,plain,
% 7.84/5.41 (v100(constB125) | ![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3926, 3903, 441])).
% 7.84/5.41 tff(3928,plain,
% 7.84/5.41 (![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3927, 3923])).
% 7.84/5.41 tff(3929,plain,
% 7.84/5.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)))),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3930,plain,
% 7.84/5.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)))),
% 7.84/5.41 inference(quant_inst,[status(thm)],[])).
% 7.84/5.41 tff(3931,plain,
% 7.84/5.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2))),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 7.84/5.41 tff(3932,plain,
% 7.84/5.41 (v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2)),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3931, 648, 3928])).
% 7.84/5.41 tff(3933,plain,
% 7.84/5.41 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3934,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123')).
% 7.84/5.41 tff(3935,plain,
% 7.84/5.41 (nextState(constB123, constB124)),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3934, 3933])).
% 7.84/5.41 tff(3936,plain,
% 7.84/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3937,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 7.84/5.41 inference(quant_inst,[status(thm)],[])).
% 7.84/5.41 tff(3938,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3937, 3936])).
% 7.84/5.41 tff(3939,plain,
% 7.84/5.41 (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3938, 3935, 392])).
% 7.84/5.41 tff(3940,plain,
% 7.84/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3941,plain,
% 7.84/5.41 (((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124)))))) <=> ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3942,plain,
% 7.84/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))))),
% 7.84/5.41 inference(monotonicity,[status(thm)],[3941])).
% 7.84/5.41 tff(3943,plain,
% 7.84/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 7.84/5.41 inference(transitivity,[status(thm)],[3942, 3940])).
% 7.84/5.41 tff(3944,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))),
% 7.84/5.41 inference(quant_inst,[status(thm)],[])).
% 7.84/5.41 tff(3945,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 7.84/5.41 tff(3946,plain,
% 7.84/5.41 (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3945, 3935, 412])).
% 7.84/5.41 tff(3947,plain,
% 7.84/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3948,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))),
% 7.84/5.41 inference(quant_inst,[status(thm)],[])).
% 7.84/5.41 tff(3949,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124))),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3948, 3947])).
% 7.84/5.41 tff(3950,plain,
% 7.84/5.41 ((~v102(constB124)) <=> v104(constB124)),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3949, 3935, 474])).
% 7.84/5.41 tff(3951,plain,
% 7.84/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3952,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 7.84/5.41 inference(quant_inst,[status(thm)],[])).
% 7.84/5.41 tff(3953,plain,
% 7.84/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123))),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 7.84/5.41 tff(3954,plain,
% 7.84/5.41 (v104(constB124) <=> v1(constB123)),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3953, 3935, 488])).
% 7.84/5.41 tff(3955,plain,
% 7.84/5.41 ((~v1(constB123)) <=> (~v1(constB123))),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3956,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123')).
% 7.84/5.41 tff(3957,plain,
% 7.84/5.41 (~v1(constB123)),
% 7.84/5.41 inference(modus_ponens,[status(thm)],[3956, 3955])).
% 7.84/5.41 tff(3958,plain,
% 7.84/5.41 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124)) | v1(constB123)),
% 7.84/5.41 inference(tautology,[status(thm)],[])).
% 7.84/5.41 tff(3959,plain,
% 7.84/5.41 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124))),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3958, 3957])).
% 7.84/5.41 tff(3960,plain,
% 7.84/5.41 (~v104(constB124)),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3959, 3954])).
% 7.84/5.41 tff(3961,plain,
% 7.84/5.41 ((~((~v102(constB124)) <=> v104(constB124))) | v102(constB124) | v104(constB124)),
% 7.84/5.41 inference(tautology,[status(thm)],[])).
% 7.84/5.41 tff(3962,plain,
% 7.84/5.41 (v102(constB124)),
% 7.84/5.41 inference(unit_resolution,[status(thm)],[3961, 3960, 3950])).
% 7.84/5.41 tff(3963,plain,
% 7.84/5.41 (v1(constB124) <=> v1(constB124)),
% 7.84/5.41 inference(rewrite,[status(thm)],[])).
% 7.84/5.41 tff(3964,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124')).
% 7.84/5.42 tff(3965,plain,
% 7.84/5.42 (v1(constB124)),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 7.84/5.42 tff(3966,plain,
% 7.84/5.42 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v1(constB124)) | (~v102(constB124))),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(3967,plain,
% 7.84/5.42 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v102(constB124))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3966, 3965])).
% 7.84/5.42 tff(3968,plain,
% 7.84/5.42 (~((~v1(constB124)) | (~v102(constB124)))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3967, 3962])).
% 7.84/5.42 tff(3969,plain,
% 7.84/5.42 ((~(v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))) | v101(constB124) | ((~v1(constB124)) | (~v102(constB124)))),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(3970,plain,
% 7.84/5.42 (v101(constB124)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3969, 3968, 3946])).
% 7.84/5.42 tff(3971,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(3972,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3973,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[3972, 3971])).
% 7.84/5.42 tff(3974,plain,
% 7.84/5.42 (v110(constB124) <=> v108(constB123)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3973, 3935, 518])).
% 7.84/5.42 tff(3975,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB123) <=> (v111(constB123) | v112(constB123)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3976,plain,
% 7.84/5.42 (v108(constB123) <=> (v111(constB123) | v112(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3975, 529])).
% 7.84/5.42 tff(3977,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3978,plain,
% 7.84/5.42 (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3977, 541])).
% 7.84/5.42 tff(3979,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB123) <=> (v114(constB123) | v125(constB123)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3980,plain,
% 7.84/5.42 (v113(constB123) <=> (v114(constB123) | v125(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3979, 550])).
% 7.84/5.42 tff(3981,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB123) <=> (v115(constB123) | v124(constB123)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3982,plain,
% 7.84/5.42 (v114(constB123) <=> (v115(constB123) | v124(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3981, 559])).
% 7.84/5.42 tff(3983,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB123) <=> (v116(constB123) | v123(constB123)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3984,plain,
% 7.84/5.42 (v115(constB123) <=> (v116(constB123) | v123(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3983, 568])).
% 7.84/5.42 tff(3985,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB123) <=> (v117(constB123) | v122(constB123)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3986,plain,
% 7.84/5.42 (v116(constB123) <=> (v117(constB123) | v122(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3985, 577])).
% 7.84/5.42 tff(3987,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB123) <=> (v118(constB123) | v121(constB123)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3988,plain,
% 7.84/5.42 (v117(constB123) <=> (v118(constB123) | v121(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3987, 586])).
% 7.84/5.42 tff(3989,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB123) <=> (v119(constB123) | v120(constB123)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3990,plain,
% 7.84/5.42 (v118(constB123) <=> (v119(constB123) | v120(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3989, 595])).
% 7.84/5.42 tff(3991,plain,
% 7.84/5.42 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(3992,plain,
% 7.84/5.42 ((v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0))))) <=> (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(3993,plain,
% 7.84/5.42 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0))))))),
% 7.84/5.42 inference(monotonicity,[status(thm)],[3992])).
% 7.84/5.42 tff(3994,plain,
% 7.84/5.42 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0))))))),
% 7.84/5.42 inference(transitivity,[status(thm)],[3993, 3991])).
% 7.84/5.42 tff(3995,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(3996,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[3995, 3994])).
% 7.84/5.42 tff(3997,plain,
% 7.84/5.42 (v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[3996, 610])).
% 7.84/5.42 tff(3998,plain,
% 7.84/5.42 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(3999,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122')).
% 7.84/5.42 tff(4000,plain,
% 7.84/5.42 (nextState(constB122, constB123)),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[3999, 3998])).
% 7.84/5.42 tff(4001,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4002,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4003,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4002, 4001])).
% 7.84/5.42 tff(4004,plain,
% 7.84/5.42 (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4003, 4000, 392])).
% 7.84/5.42 tff(4005,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4006,plain,
% 7.84/5.42 (((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123)))))) <=> ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4007,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))))),
% 7.84/5.42 inference(monotonicity,[status(thm)],[4006])).
% 7.84/5.42 tff(4008,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 7.84/5.42 inference(transitivity,[status(thm)],[4007, 4005])).
% 7.84/5.42 tff(4009,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4010,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4009, 4008])).
% 7.84/5.42 tff(4011,plain,
% 7.84/5.42 (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4010, 4000, 412])).
% 7.84/5.42 tff(4012,plain,
% 7.84/5.42 (((~v1(constB123)) | (~v102(constB123))) | v1(constB123)),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4013,plain,
% 7.84/5.42 ((~v1(constB123)) | (~v102(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4012, 3957])).
% 7.84/5.42 tff(4014,plain,
% 7.84/5.42 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123)) | (~((~v1(constB123)) | (~v102(constB123))))),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4015,plain,
% 7.84/5.42 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4014, 4013])).
% 7.84/5.42 tff(4016,plain,
% 7.84/5.42 (~v101(constB123)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4015, 4011])).
% 7.84/5.42 tff(4017,plain,
% 7.84/5.42 (((~v101(constB123)) | (~v110(constB123))) | v101(constB123)),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4018,plain,
% 7.84/5.42 ((~v101(constB123)) | (~v110(constB123))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4017, 4016])).
% 7.84/5.42 tff(4019,plain,
% 7.84/5.42 ((~(v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))) | (~v100(constB123)) | (~((~v101(constB123)) | (~v110(constB123))))),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4020,plain,
% 7.84/5.42 (~v100(constB123)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4019, 4018, 4004])).
% 7.84/5.42 tff(4021,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4022,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4023,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 7.84/5.42 tff(4024,plain,
% 7.84/5.42 (v100(constB123) | ![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4023, 4000, 441])).
% 7.84/5.42 tff(4025,plain,
% 7.84/5.42 (![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4024, 4020])).
% 7.84/5.42 tff(4026,plain,
% 7.84/5.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4027,plain,
% 7.84/5.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4028,plain,
% 7.84/5.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4027, 4026])).
% 7.84/5.42 tff(4029,plain,
% 7.84/5.42 (v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4028, 648, 4025])).
% 7.84/5.42 tff(4030,plain,
% 7.84/5.42 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4031,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121')).
% 7.84/5.42 tff(4032,plain,
% 7.84/5.42 (nextState(constB121, constB122)),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 7.84/5.42 tff(4033,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4034,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4035,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4034, 4033])).
% 7.84/5.42 tff(4036,plain,
% 7.84/5.42 (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4035, 4032, 392])).
% 7.84/5.42 tff(4037,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4038,plain,
% 7.84/5.42 (((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122)))))) <=> ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4039,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))))),
% 7.84/5.42 inference(monotonicity,[status(thm)],[4038])).
% 7.84/5.42 tff(4040,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 7.84/5.42 inference(transitivity,[status(thm)],[4039, 4037])).
% 7.84/5.42 tff(4041,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4042,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4041, 4040])).
% 7.84/5.42 tff(4043,plain,
% 7.84/5.42 (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4042, 4032, 412])).
% 7.84/5.42 tff(4044,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4045,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4046,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4045, 4044])).
% 7.84/5.42 tff(4047,plain,
% 7.84/5.42 ((~v102(constB122)) <=> v104(constB122)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4046, 4032, 474])).
% 7.84/5.42 tff(4048,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4049,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4050,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4049, 4048])).
% 7.84/5.42 tff(4051,plain,
% 7.84/5.42 (v104(constB122) <=> v1(constB121)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4050, 4032, 488])).
% 7.84/5.42 tff(4052,plain,
% 7.84/5.42 ((~v1(constB121)) <=> (~v1(constB121))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4053,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121')).
% 7.84/5.42 tff(4054,plain,
% 7.84/5.42 (~v1(constB121)),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4053, 4052])).
% 7.84/5.42 tff(4055,plain,
% 7.84/5.42 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122)) | v1(constB121)),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4056,plain,
% 7.84/5.42 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4055, 4054])).
% 7.84/5.42 tff(4057,plain,
% 7.84/5.42 (~v104(constB122)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4056, 4051])).
% 7.84/5.42 tff(4058,plain,
% 7.84/5.42 ((~((~v102(constB122)) <=> v104(constB122))) | v102(constB122) | v104(constB122)),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4059,plain,
% 7.84/5.42 (v102(constB122)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4058, 4057, 4047])).
% 7.84/5.42 tff(4060,plain,
% 7.84/5.42 (v1(constB122) <=> v1(constB122)),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4061,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122')).
% 7.84/5.42 tff(4062,plain,
% 7.84/5.42 (v1(constB122)),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4061, 4060])).
% 7.84/5.42 tff(4063,plain,
% 7.84/5.42 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v1(constB122)) | (~v102(constB122))),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4064,plain,
% 7.84/5.42 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v102(constB122))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4063, 4062])).
% 7.84/5.42 tff(4065,plain,
% 7.84/5.42 (~((~v1(constB122)) | (~v102(constB122)))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4064, 4059])).
% 7.84/5.42 tff(4066,plain,
% 7.84/5.42 ((~(v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))) | v101(constB122) | ((~v1(constB122)) | (~v102(constB122)))),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4067,plain,
% 7.84/5.42 (v101(constB122)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4066, 4065, 4043])).
% 7.84/5.42 tff(4068,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4069,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4070,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 7.84/5.42 tff(4071,plain,
% 7.84/5.42 (v110(constB122) <=> v108(constB121)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4070, 4032, 518])).
% 7.84/5.42 tff(4072,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB121) <=> (v111(constB121) | v112(constB121)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4073,plain,
% 7.84/5.42 (v108(constB121) <=> (v111(constB121) | v112(constB121))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4072, 529])).
% 7.84/5.42 tff(4074,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4075,plain,
% 7.84/5.42 (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4074, 541])).
% 7.84/5.42 tff(4076,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB121) <=> (v114(constB121) | v125(constB121)))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4077,plain,
% 7.84/5.42 (v113(constB121) <=> (v114(constB121) | v125(constB121))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4076, 550])).
% 7.84/5.42 tff(4078,plain,
% 7.84/5.42 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4079,plain,
% 7.84/5.42 ((v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2))))) <=> (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4080,plain,
% 7.84/5.42 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))))),
% 7.84/5.42 inference(monotonicity,[status(thm)],[4079])).
% 7.84/5.42 tff(4081,plain,
% 7.84/5.42 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))))),
% 7.84/5.42 inference(transitivity,[status(thm)],[4080, 4078])).
% 7.84/5.42 tff(4082,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4083,plain,
% 7.84/5.42 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4082, 4081])).
% 7.84/5.42 tff(4084,plain,
% 7.84/5.42 (v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4083, 713])).
% 7.84/5.42 tff(4085,plain,
% 7.84/5.42 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4086,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120')).
% 7.84/5.42 tff(4087,plain,
% 7.84/5.42 (nextState(constB120, constB121)),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 7.84/5.42 tff(4088,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4089,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4090,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4089, 4088])).
% 7.84/5.42 tff(4091,plain,
% 7.84/5.42 (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4090, 4087, 392])).
% 7.84/5.42 tff(4092,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4093,plain,
% 7.84/5.42 (((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4094,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))))),
% 7.84/5.42 inference(monotonicity,[status(thm)],[4093])).
% 7.84/5.42 tff(4095,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 7.84/5.42 inference(transitivity,[status(thm)],[4094, 4092])).
% 7.84/5.42 tff(4096,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4097,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4096, 4095])).
% 7.84/5.42 tff(4098,plain,
% 7.84/5.42 (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4097, 4087, 412])).
% 7.84/5.42 tff(4099,plain,
% 7.84/5.42 (((~v1(constB121)) | (~v102(constB121))) | v1(constB121)),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4100,plain,
% 7.84/5.42 ((~v1(constB121)) | (~v102(constB121))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4099, 4054])).
% 7.84/5.42 tff(4101,plain,
% 7.84/5.42 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121)) | (~((~v1(constB121)) | (~v102(constB121))))),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4102,plain,
% 7.84/5.42 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4101, 4100])).
% 7.84/5.42 tff(4103,plain,
% 7.84/5.42 (~v101(constB121)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4102, 4098])).
% 7.84/5.42 tff(4104,plain,
% 7.84/5.42 (((~v101(constB121)) | (~v110(constB121))) | v101(constB121)),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4105,plain,
% 7.84/5.42 ((~v101(constB121)) | (~v110(constB121))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4104, 4103])).
% 7.84/5.42 tff(4106,plain,
% 7.84/5.42 ((~(v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))) | (~v100(constB121)) | (~((~v101(constB121)) | (~v110(constB121))))),
% 7.84/5.42 inference(tautology,[status(thm)],[])).
% 7.84/5.42 tff(4107,plain,
% 7.84/5.42 (~v100(constB121)),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4106, 4105, 4091])).
% 7.84/5.42 tff(4108,plain,
% 7.84/5.42 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B))))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.42 tff(4109,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B))))),
% 7.84/5.42 inference(quant_inst,[status(thm)],[])).
% 7.84/5.42 tff(4110,plain,
% 7.84/5.42 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))),
% 7.84/5.42 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 7.84/5.42 tff(4111,plain,
% 7.84/5.42 (v100(constB121) | ![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4110, 4087, 441])).
% 7.84/5.42 tff(4112,plain,
% 7.84/5.42 (![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))),
% 7.84/5.42 inference(unit_resolution,[status(thm)],[4111, 4107])).
% 7.84/5.42 tff(4113,plain,
% 7.84/5.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)))),
% 7.84/5.42 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4114,plain,
% 7.84/5.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4115,plain,
% 7.84/5.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 7.84/5.43 tff(4116,plain,
% 7.84/5.43 (v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4115, 648, 4112])).
% 7.84/5.43 tff(4117,plain,
% 7.84/5.43 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4118,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119')).
% 7.84/5.43 tff(4119,plain,
% 7.84/5.43 (nextState(constB119, constB120)),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4118, 4117])).
% 7.84/5.43 tff(4120,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4121,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4122,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 7.84/5.43 tff(4123,plain,
% 7.84/5.43 (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4122, 4119, 392])).
% 7.84/5.43 tff(4124,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4125,plain,
% 7.84/5.43 (((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4126,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))))),
% 7.84/5.43 inference(monotonicity,[status(thm)],[4125])).
% 7.84/5.43 tff(4127,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 7.84/5.43 inference(transitivity,[status(thm)],[4126, 4124])).
% 7.84/5.43 tff(4128,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4129,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 7.84/5.43 tff(4130,plain,
% 7.84/5.43 (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4129, 4119, 412])).
% 7.84/5.43 tff(4131,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4132,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4133,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4132, 4131])).
% 7.84/5.43 tff(4134,plain,
% 7.84/5.43 ((~v102(constB120)) <=> v104(constB120)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4133, 4119, 474])).
% 7.84/5.43 tff(4135,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4136,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4137,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 7.84/5.43 tff(4138,plain,
% 7.84/5.43 (v104(constB120) <=> v1(constB119)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4137, 4119, 488])).
% 7.84/5.43 tff(4139,plain,
% 7.84/5.43 ((~v1(constB119)) <=> (~v1(constB119))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4140,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119')).
% 7.84/5.43 tff(4141,plain,
% 7.84/5.43 (~v1(constB119)),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4140, 4139])).
% 7.84/5.43 tff(4142,plain,
% 7.84/5.43 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120)) | v1(constB119)),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4143,plain,
% 7.84/5.43 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4142, 4141])).
% 7.84/5.43 tff(4144,plain,
% 7.84/5.43 (~v104(constB120)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4143, 4138])).
% 7.84/5.43 tff(4145,plain,
% 7.84/5.43 ((~((~v102(constB120)) <=> v104(constB120))) | v102(constB120) | v104(constB120)),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4146,plain,
% 7.84/5.43 (v102(constB120)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4145, 4144, 4134])).
% 7.84/5.43 tff(4147,plain,
% 7.84/5.43 (v1(constB120) <=> v1(constB120)),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4148,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120')).
% 7.84/5.43 tff(4149,plain,
% 7.84/5.43 (v1(constB120)),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4148, 4147])).
% 7.84/5.43 tff(4150,plain,
% 7.84/5.43 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v1(constB120)) | (~v102(constB120))),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4151,plain,
% 7.84/5.43 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v102(constB120))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4150, 4149])).
% 7.84/5.43 tff(4152,plain,
% 7.84/5.43 (~((~v1(constB120)) | (~v102(constB120)))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4151, 4146])).
% 7.84/5.43 tff(4153,plain,
% 7.84/5.43 ((~(v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))) | v101(constB120) | ((~v1(constB120)) | (~v102(constB120)))),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4154,plain,
% 7.84/5.43 (v101(constB120)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4153, 4152, 4130])).
% 7.84/5.43 tff(4155,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4156,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4157,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4156, 4155])).
% 7.84/5.43 tff(4158,plain,
% 7.84/5.43 (v110(constB120) <=> v108(constB119)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4157, 4119, 518])).
% 7.84/5.43 tff(4159,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB119) <=> (v111(constB119) | v112(constB119)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4160,plain,
% 7.84/5.43 (v108(constB119) <=> (v111(constB119) | v112(constB119))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4159, 529])).
% 7.84/5.43 tff(4161,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4162,plain,
% 7.84/5.43 (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4161, 541])).
% 7.84/5.43 tff(4163,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB119) <=> (v114(constB119) | v125(constB119)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4164,plain,
% 7.84/5.43 (v113(constB119) <=> (v114(constB119) | v125(constB119))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4163, 550])).
% 7.84/5.43 tff(4165,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB119) <=> (v115(constB119) | v124(constB119)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4166,plain,
% 7.84/5.43 (v114(constB119) <=> (v115(constB119) | v124(constB119))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4165, 559])).
% 7.84/5.43 tff(4167,plain,
% 7.84/5.43 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4168,plain,
% 7.84/5.43 ((v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2))))) <=> (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4169,plain,
% 7.84/5.43 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0))))))),
% 7.84/5.43 inference(monotonicity,[status(thm)],[4168])).
% 7.84/5.43 tff(4170,plain,
% 7.84/5.43 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0))))))),
% 7.84/5.43 inference(transitivity,[status(thm)],[4169, 4167])).
% 7.84/5.43 tff(4171,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2)))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4172,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4171, 4170])).
% 7.84/5.43 tff(4173,plain,
% 7.84/5.43 (v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4172, 815])).
% 7.84/5.43 tff(4174,plain,
% 7.84/5.43 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4175,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118')).
% 7.84/5.43 tff(4176,plain,
% 7.84/5.43 (nextState(constB118, constB119)),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4175, 4174])).
% 7.84/5.43 tff(4177,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4178,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4179,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 7.84/5.43 tff(4180,plain,
% 7.84/5.43 (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4179, 4176, 392])).
% 7.84/5.43 tff(4181,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4182,plain,
% 7.84/5.43 (((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4183,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))))),
% 7.84/5.43 inference(monotonicity,[status(thm)],[4182])).
% 7.84/5.43 tff(4184,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 7.84/5.43 inference(transitivity,[status(thm)],[4183, 4181])).
% 7.84/5.43 tff(4185,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4186,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 7.84/5.43 tff(4187,plain,
% 7.84/5.43 (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4186, 4176, 412])).
% 7.84/5.43 tff(4188,plain,
% 7.84/5.43 (((~v1(constB119)) | (~v102(constB119))) | v1(constB119)),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4189,plain,
% 7.84/5.43 ((~v1(constB119)) | (~v102(constB119))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4188, 4141])).
% 7.84/5.43 tff(4190,plain,
% 7.84/5.43 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119)) | (~((~v1(constB119)) | (~v102(constB119))))),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4191,plain,
% 7.84/5.43 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4190, 4189])).
% 7.84/5.43 tff(4192,plain,
% 7.84/5.43 (~v101(constB119)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4191, 4187])).
% 7.84/5.43 tff(4193,plain,
% 7.84/5.43 (((~v101(constB119)) | (~v110(constB119))) | v101(constB119)),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4194,plain,
% 7.84/5.43 ((~v101(constB119)) | (~v110(constB119))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4193, 4192])).
% 7.84/5.43 tff(4195,plain,
% 7.84/5.43 ((~(v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))) | (~v100(constB119)) | (~((~v101(constB119)) | (~v110(constB119))))),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4196,plain,
% 7.84/5.43 (~v100(constB119)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4195, 4194, 4180])).
% 7.84/5.43 tff(4197,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4198,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4199,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 7.84/5.43 tff(4200,plain,
% 7.84/5.43 (v100(constB119) | ![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4199, 4176, 441])).
% 7.84/5.43 tff(4201,plain,
% 7.84/5.43 (![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4200, 4196])).
% 7.84/5.43 tff(4202,plain,
% 7.84/5.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4203,plain,
% 7.84/5.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4204,plain,
% 7.84/5.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 7.84/5.43 tff(4205,plain,
% 7.84/5.43 (v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4204, 648, 4201])).
% 7.84/5.43 tff(4206,plain,
% 7.84/5.43 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4207,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117')).
% 7.84/5.43 tff(4208,plain,
% 7.84/5.43 (nextState(constB117, constB118)),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4207, 4206])).
% 7.84/5.43 tff(4209,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4210,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4211,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 7.84/5.43 tff(4212,plain,
% 7.84/5.43 (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4211, 4208, 392])).
% 7.84/5.43 tff(4213,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4214,plain,
% 7.84/5.43 (((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4215,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))))),
% 7.84/5.43 inference(monotonicity,[status(thm)],[4214])).
% 7.84/5.43 tff(4216,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 7.84/5.43 inference(transitivity,[status(thm)],[4215, 4213])).
% 7.84/5.43 tff(4217,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4218,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 7.84/5.43 tff(4219,plain,
% 7.84/5.43 (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4218, 4208, 412])).
% 7.84/5.43 tff(4220,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4221,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4222,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 7.84/5.43 tff(4223,plain,
% 7.84/5.43 ((~v102(constB118)) <=> v104(constB118)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4222, 4208, 474])).
% 7.84/5.43 tff(4224,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4225,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4226,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 7.84/5.43 tff(4227,plain,
% 7.84/5.43 (v104(constB118) <=> v1(constB117)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4226, 4208, 488])).
% 7.84/5.43 tff(4228,plain,
% 7.84/5.43 ((~v1(constB117)) <=> (~v1(constB117))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4229,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117')).
% 7.84/5.43 tff(4230,plain,
% 7.84/5.43 (~v1(constB117)),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 7.84/5.43 tff(4231,plain,
% 7.84/5.43 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118)) | v1(constB117)),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4232,plain,
% 7.84/5.43 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4231, 4230])).
% 7.84/5.43 tff(4233,plain,
% 7.84/5.43 (~v104(constB118)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4232, 4227])).
% 7.84/5.43 tff(4234,plain,
% 7.84/5.43 ((~((~v102(constB118)) <=> v104(constB118))) | v102(constB118) | v104(constB118)),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4235,plain,
% 7.84/5.43 (v102(constB118)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4234, 4233, 4223])).
% 7.84/5.43 tff(4236,plain,
% 7.84/5.43 (v1(constB118) <=> v1(constB118)),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4237,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118')).
% 7.84/5.43 tff(4238,plain,
% 7.84/5.43 (v1(constB118)),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4237, 4236])).
% 7.84/5.43 tff(4239,plain,
% 7.84/5.43 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v1(constB118)) | (~v102(constB118))),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4240,plain,
% 7.84/5.43 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v102(constB118))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4239, 4238])).
% 7.84/5.43 tff(4241,plain,
% 7.84/5.43 (~((~v1(constB118)) | (~v102(constB118)))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4240, 4235])).
% 7.84/5.43 tff(4242,plain,
% 7.84/5.43 ((~(v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))) | v101(constB118) | ((~v1(constB118)) | (~v102(constB118)))),
% 7.84/5.43 inference(tautology,[status(thm)],[])).
% 7.84/5.43 tff(4243,plain,
% 7.84/5.43 (v101(constB118)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4242, 4241, 4219])).
% 7.84/5.43 tff(4244,plain,
% 7.84/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4245,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4246,plain,
% 7.84/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4245, 4244])).
% 7.84/5.43 tff(4247,plain,
% 7.84/5.43 (v110(constB118) <=> v108(constB117)),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4246, 4208, 518])).
% 7.84/5.43 tff(4248,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB117) <=> (v111(constB117) | v112(constB117)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4249,plain,
% 7.84/5.43 (v108(constB117) <=> (v111(constB117) | v112(constB117))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4248, 529])).
% 7.84/5.43 tff(4250,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4251,plain,
% 7.84/5.43 (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117))))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4250, 541])).
% 7.84/5.43 tff(4252,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB117) <=> (v114(constB117) | v125(constB117)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4253,plain,
% 7.84/5.43 (v113(constB117) <=> (v114(constB117) | v125(constB117))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4252, 550])).
% 7.84/5.43 tff(4254,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB117) <=> (v115(constB117) | v124(constB117)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4255,plain,
% 7.84/5.43 (v114(constB117) <=> (v115(constB117) | v124(constB117))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4254, 559])).
% 7.84/5.43 tff(4256,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB117) <=> (v116(constB117) | v123(constB117)))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4257,plain,
% 7.84/5.43 (v115(constB117) <=> (v116(constB117) | v123(constB117))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4256, 568])).
% 7.84/5.43 tff(4258,plain,
% 7.84/5.43 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0)))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4259,plain,
% 7.84/5.43 ((v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2))))) <=> (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))))),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.43 tff(4260,plain,
% 7.84/5.43 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0)))))),
% 7.84/5.43 inference(monotonicity,[status(thm)],[4259])).
% 7.84/5.43 tff(4261,plain,
% 7.84/5.43 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0)))))),
% 7.84/5.43 inference(transitivity,[status(thm)],[4260, 4258])).
% 7.84/5.43 tff(4262,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)))))),
% 7.84/5.43 inference(quant_inst,[status(thm)],[])).
% 7.84/5.43 tff(4263,plain,
% 7.84/5.43 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))))),
% 7.84/5.43 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 7.84/5.43 tff(4264,plain,
% 7.84/5.43 (v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0)))),
% 7.84/5.43 inference(unit_resolution,[status(thm)],[4263, 919])).
% 7.84/5.43 tff(4265,plain,
% 7.84/5.43 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 7.84/5.43 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4266,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116')).
% 7.84/5.44 tff(4267,plain,
% 7.84/5.44 (nextState(constB116, constB117)),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 7.84/5.44 tff(4268,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4269,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4270,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 7.84/5.44 tff(4271,plain,
% 7.84/5.44 (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4270, 4267, 392])).
% 7.84/5.44 tff(4272,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4273,plain,
% 7.84/5.44 (((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117)))))) <=> ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4274,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))))),
% 7.84/5.44 inference(monotonicity,[status(thm)],[4273])).
% 7.84/5.44 tff(4275,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 7.84/5.44 inference(transitivity,[status(thm)],[4274, 4272])).
% 7.84/5.44 tff(4276,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4277,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 7.84/5.44 tff(4278,plain,
% 7.84/5.44 (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4277, 4267, 412])).
% 7.84/5.44 tff(4279,plain,
% 7.84/5.44 (((~v1(constB117)) | (~v102(constB117))) | v1(constB117)),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4280,plain,
% 7.84/5.44 ((~v1(constB117)) | (~v102(constB117))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4279, 4230])).
% 7.84/5.44 tff(4281,plain,
% 7.84/5.44 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117)) | (~((~v1(constB117)) | (~v102(constB117))))),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4282,plain,
% 7.84/5.44 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4281, 4280])).
% 7.84/5.44 tff(4283,plain,
% 7.84/5.44 (~v101(constB117)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4282, 4278])).
% 7.84/5.44 tff(4284,plain,
% 7.84/5.44 (((~v101(constB117)) | (~v110(constB117))) | v101(constB117)),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4285,plain,
% 7.84/5.44 ((~v101(constB117)) | (~v110(constB117))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4284, 4283])).
% 7.84/5.44 tff(4286,plain,
% 7.84/5.44 ((~(v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))) | (~v100(constB117)) | (~((~v101(constB117)) | (~v110(constB117))))),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4287,plain,
% 7.84/5.44 (~v100(constB117)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4286, 4285, 4271])).
% 7.84/5.44 tff(4288,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4289,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4290,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 7.84/5.44 tff(4291,plain,
% 7.84/5.44 (v100(constB117) | ![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4290, 4267, 441])).
% 7.84/5.44 tff(4292,plain,
% 7.84/5.44 (![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4291, 4287])).
% 7.84/5.44 tff(4293,plain,
% 7.84/5.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4294,plain,
% 7.84/5.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4295,plain,
% 7.84/5.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4294, 4293])).
% 7.84/5.44 tff(4296,plain,
% 7.84/5.44 (v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4295, 648, 4292])).
% 7.84/5.44 tff(4297,plain,
% 7.84/5.44 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4298,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115')).
% 7.84/5.44 tff(4299,plain,
% 7.84/5.44 (nextState(constB115, constB116)),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 7.84/5.44 tff(4300,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4301,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4302,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4301, 4300])).
% 7.84/5.44 tff(4303,plain,
% 7.84/5.44 (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4302, 4299, 392])).
% 7.84/5.44 tff(4304,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4305,plain,
% 7.84/5.44 (((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116)))))) <=> ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4306,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))))),
% 7.84/5.44 inference(monotonicity,[status(thm)],[4305])).
% 7.84/5.44 tff(4307,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 7.84/5.44 inference(transitivity,[status(thm)],[4306, 4304])).
% 7.84/5.44 tff(4308,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4309,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 7.84/5.44 tff(4310,plain,
% 7.84/5.44 (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4309, 4299, 412])).
% 7.84/5.44 tff(4311,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4312,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4313,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4312, 4311])).
% 7.84/5.44 tff(4314,plain,
% 7.84/5.44 ((~v102(constB116)) <=> v104(constB116)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4313, 4299, 474])).
% 7.84/5.44 tff(4315,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4316,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4317,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 7.84/5.44 tff(4318,plain,
% 7.84/5.44 (v104(constB116) <=> v1(constB115)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4317, 4299, 488])).
% 7.84/5.44 tff(4319,plain,
% 7.84/5.44 ((~v1(constB115)) <=> (~v1(constB115))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4320,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115')).
% 7.84/5.44 tff(4321,plain,
% 7.84/5.44 (~v1(constB115)),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 7.84/5.44 tff(4322,plain,
% 7.84/5.44 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116)) | v1(constB115)),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4323,plain,
% 7.84/5.44 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4322, 4321])).
% 7.84/5.44 tff(4324,plain,
% 7.84/5.44 (~v104(constB116)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4323, 4318])).
% 7.84/5.44 tff(4325,plain,
% 7.84/5.44 ((~((~v102(constB116)) <=> v104(constB116))) | v102(constB116) | v104(constB116)),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4326,plain,
% 7.84/5.44 (v102(constB116)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4325, 4324, 4314])).
% 7.84/5.44 tff(4327,plain,
% 7.84/5.44 (v1(constB116) <=> v1(constB116)),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4328,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116')).
% 7.84/5.44 tff(4329,plain,
% 7.84/5.44 (v1(constB116)),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 7.84/5.44 tff(4330,plain,
% 7.84/5.44 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v1(constB116)) | (~v102(constB116))),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4331,plain,
% 7.84/5.44 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v102(constB116))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4330, 4329])).
% 7.84/5.44 tff(4332,plain,
% 7.84/5.44 (~((~v1(constB116)) | (~v102(constB116)))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4331, 4326])).
% 7.84/5.44 tff(4333,plain,
% 7.84/5.44 ((~(v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))) | v101(constB116) | ((~v1(constB116)) | (~v102(constB116)))),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4334,plain,
% 7.84/5.44 (v101(constB116)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4333, 4332, 4310])).
% 7.84/5.44 tff(4335,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4336,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4337,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4336, 4335])).
% 7.84/5.44 tff(4338,plain,
% 7.84/5.44 (v110(constB116) <=> v108(constB115)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4337, 4299, 518])).
% 7.84/5.44 tff(4339,plain,
% 7.84/5.44 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB115) <=> (v111(constB115) | v112(constB115)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4340,plain,
% 7.84/5.44 (v108(constB115) <=> (v111(constB115) | v112(constB115))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4339, 529])).
% 7.84/5.44 tff(4341,plain,
% 7.84/5.44 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4342,plain,
% 7.84/5.44 (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4341, 541])).
% 7.84/5.44 tff(4343,plain,
% 7.84/5.44 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB115) <=> (v114(constB115) | v125(constB115)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4344,plain,
% 7.84/5.44 (v113(constB115) <=> (v114(constB115) | v125(constB115))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4343, 550])).
% 7.84/5.44 tff(4345,plain,
% 7.84/5.44 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB115) <=> (v115(constB115) | v124(constB115)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4346,plain,
% 7.84/5.44 (v114(constB115) <=> (v115(constB115) | v124(constB115))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4345, 559])).
% 7.84/5.44 tff(4347,plain,
% 7.84/5.44 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB115) <=> (v116(constB115) | v123(constB115)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4348,plain,
% 7.84/5.44 (v115(constB115) <=> (v116(constB115) | v123(constB115))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4347, 568])).
% 7.84/5.44 tff(4349,plain,
% 7.84/5.44 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB115) <=> (v117(constB115) | v122(constB115)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4350,plain,
% 7.84/5.44 (v116(constB115) <=> (v117(constB115) | v122(constB115))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4349, 577])).
% 7.84/5.44 tff(4351,plain,
% 7.84/5.44 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4352,plain,
% 7.84/5.44 ((v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1))))) <=> (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4353,plain,
% 7.84/5.44 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 7.84/5.44 inference(monotonicity,[status(thm)],[4352])).
% 7.84/5.44 tff(4354,plain,
% 7.84/5.44 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 7.84/5.44 inference(transitivity,[status(thm)],[4353, 4351])).
% 7.84/5.44 tff(4355,plain,
% 7.84/5.44 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4356,plain,
% 7.84/5.44 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4355, 4354])).
% 7.84/5.44 tff(4357,plain,
% 7.84/5.44 (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4356, 1025])).
% 7.84/5.44 tff(4358,plain,
% 7.84/5.44 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4359,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114')).
% 7.84/5.44 tff(4360,plain,
% 7.84/5.44 (nextState(constB114, constB115)),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 7.84/5.44 tff(4361,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4362,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4363,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4362, 4361])).
% 7.84/5.44 tff(4364,plain,
% 7.84/5.44 (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4363, 4360, 392])).
% 7.84/5.44 tff(4365,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4366,plain,
% 7.84/5.44 (((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115)))))) <=> ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4367,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))))),
% 7.84/5.44 inference(monotonicity,[status(thm)],[4366])).
% 7.84/5.44 tff(4368,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 7.84/5.44 inference(transitivity,[status(thm)],[4367, 4365])).
% 7.84/5.44 tff(4369,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4370,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 7.84/5.44 tff(4371,plain,
% 7.84/5.44 (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4370, 4360, 412])).
% 7.84/5.44 tff(4372,plain,
% 7.84/5.44 (((~v1(constB115)) | (~v102(constB115))) | v1(constB115)),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4373,plain,
% 7.84/5.44 ((~v1(constB115)) | (~v102(constB115))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4372, 4321])).
% 7.84/5.44 tff(4374,plain,
% 7.84/5.44 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115)) | (~((~v1(constB115)) | (~v102(constB115))))),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4375,plain,
% 7.84/5.44 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4374, 4373])).
% 7.84/5.44 tff(4376,plain,
% 7.84/5.44 (~v101(constB115)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4375, 4371])).
% 7.84/5.44 tff(4377,plain,
% 7.84/5.44 (((~v101(constB115)) | (~v110(constB115))) | v101(constB115)),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4378,plain,
% 7.84/5.44 ((~v101(constB115)) | (~v110(constB115))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4377, 4376])).
% 7.84/5.44 tff(4379,plain,
% 7.84/5.44 ((~(v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))) | (~v100(constB115)) | (~((~v101(constB115)) | (~v110(constB115))))),
% 7.84/5.44 inference(tautology,[status(thm)],[])).
% 7.84/5.44 tff(4380,plain,
% 7.84/5.44 (~v100(constB115)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4379, 4378, 4364])).
% 7.84/5.44 tff(4381,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4382,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4383,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 7.84/5.44 tff(4384,plain,
% 7.84/5.44 (v100(constB115) | ![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4383, 4360, 441])).
% 7.84/5.44 tff(4385,plain,
% 7.84/5.44 (![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4384, 4380])).
% 7.84/5.44 tff(4386,plain,
% 7.84/5.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4387,plain,
% 7.84/5.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4388,plain,
% 7.84/5.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 7.84/5.44 tff(4389,plain,
% 7.84/5.44 (v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4388, 648, 4385])).
% 7.84/5.44 tff(4390,plain,
% 7.84/5.44 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4391,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113')).
% 7.84/5.44 tff(4392,plain,
% 7.84/5.44 (nextState(constB113, constB114)),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4391, 4390])).
% 7.84/5.44 tff(4393,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4394,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4395,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 7.84/5.44 tff(4396,plain,
% 7.84/5.44 (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4395, 4392, 392])).
% 7.84/5.44 tff(4397,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4398,plain,
% 7.84/5.44 (((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114)))))) <=> ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4399,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))))),
% 7.84/5.44 inference(monotonicity,[status(thm)],[4398])).
% 7.84/5.44 tff(4400,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 7.84/5.44 inference(transitivity,[status(thm)],[4399, 4397])).
% 7.84/5.44 tff(4401,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4402,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 7.84/5.44 tff(4403,plain,
% 7.84/5.44 (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4402, 4392, 412])).
% 7.84/5.44 tff(4404,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4405,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))),
% 7.84/5.44 inference(quant_inst,[status(thm)],[])).
% 7.84/5.44 tff(4406,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114))),
% 7.84/5.44 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 7.84/5.44 tff(4407,plain,
% 7.84/5.44 ((~v102(constB114)) <=> v104(constB114)),
% 7.84/5.44 inference(unit_resolution,[status(thm)],[4406, 4392, 474])).
% 7.84/5.44 tff(4408,plain,
% 7.84/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 7.84/5.44 inference(rewrite,[status(thm)],[])).
% 7.84/5.44 tff(4409,plain,
% 7.84/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4410,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113))),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 7.84/5.45 tff(4411,plain,
% 7.84/5.45 (v104(constB114) <=> v1(constB113)),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4410, 4392, 488])).
% 7.84/5.45 tff(4412,plain,
% 7.84/5.45 ((~v1(constB113)) <=> (~v1(constB113))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4413,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113')).
% 7.84/5.45 tff(4414,plain,
% 7.84/5.45 (~v1(constB113)),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 7.84/5.45 tff(4415,plain,
% 7.84/5.45 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114)) | v1(constB113)),
% 7.84/5.45 inference(tautology,[status(thm)],[])).
% 7.84/5.45 tff(4416,plain,
% 7.84/5.45 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4415, 4414])).
% 7.84/5.45 tff(4417,plain,
% 7.84/5.45 (~v104(constB114)),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4416, 4411])).
% 7.84/5.45 tff(4418,plain,
% 7.84/5.45 ((~((~v102(constB114)) <=> v104(constB114))) | v102(constB114) | v104(constB114)),
% 7.84/5.45 inference(tautology,[status(thm)],[])).
% 7.84/5.45 tff(4419,plain,
% 7.84/5.45 (v102(constB114)),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4418, 4417, 4407])).
% 7.84/5.45 tff(4420,plain,
% 7.84/5.45 (v1(constB114) <=> v1(constB114)),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4421,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114')).
% 7.84/5.45 tff(4422,plain,
% 7.84/5.45 (v1(constB114)),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 7.84/5.45 tff(4423,plain,
% 7.84/5.45 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v1(constB114)) | (~v102(constB114))),
% 7.84/5.45 inference(tautology,[status(thm)],[])).
% 7.84/5.45 tff(4424,plain,
% 7.84/5.45 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v102(constB114))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4423, 4422])).
% 7.84/5.45 tff(4425,plain,
% 7.84/5.45 (~((~v1(constB114)) | (~v102(constB114)))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4424, 4419])).
% 7.84/5.45 tff(4426,plain,
% 7.84/5.45 ((~(v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))) | v101(constB114) | ((~v1(constB114)) | (~v102(constB114)))),
% 7.84/5.45 inference(tautology,[status(thm)],[])).
% 7.84/5.45 tff(4427,plain,
% 7.84/5.45 (v101(constB114)),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4426, 4425, 4403])).
% 7.84/5.45 tff(4428,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4429,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4430,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113))),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 7.84/5.45 tff(4431,plain,
% 7.84/5.45 (v110(constB114) <=> v108(constB113)),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4430, 4392, 518])).
% 7.84/5.45 tff(4432,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB113) <=> (v111(constB113) | v112(constB113)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4433,plain,
% 7.84/5.45 (v108(constB113) <=> (v111(constB113) | v112(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4432, 529])).
% 7.84/5.45 tff(4434,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4435,plain,
% 7.84/5.45 (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113))))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4434, 541])).
% 7.84/5.45 tff(4436,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB113) <=> (v114(constB113) | v125(constB113)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4437,plain,
% 7.84/5.45 (v113(constB113) <=> (v114(constB113) | v125(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4436, 550])).
% 7.84/5.45 tff(4438,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB113) <=> (v115(constB113) | v124(constB113)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4439,plain,
% 7.84/5.45 (v114(constB113) <=> (v115(constB113) | v124(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4438, 559])).
% 7.84/5.45 tff(4440,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB113) <=> (v116(constB113) | v123(constB113)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4441,plain,
% 7.84/5.45 (v115(constB113) <=> (v116(constB113) | v123(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4440, 568])).
% 7.84/5.45 tff(4442,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB113) <=> (v117(constB113) | v122(constB113)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4443,plain,
% 7.84/5.45 (v116(constB113) <=> (v117(constB113) | v122(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4442, 577])).
% 7.84/5.45 tff(4444,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB113) <=> (v118(constB113) | v121(constB113)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4445,plain,
% 7.84/5.45 (v117(constB113) <=> (v118(constB113) | v121(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4444, 586])).
% 7.84/5.45 tff(4446,plain,
% 7.84/5.45 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0)))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4447,plain,
% 7.84/5.45 ((v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1))))) <=> (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4448,plain,
% 7.84/5.45 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0)))))),
% 7.84/5.45 inference(monotonicity,[status(thm)],[4447])).
% 7.84/5.45 tff(4449,plain,
% 7.84/5.45 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0)))))),
% 7.84/5.45 inference(transitivity,[status(thm)],[4448, 4446])).
% 7.84/5.45 tff(4450,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)))))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4451,plain,
% 7.84/5.45 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))))),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 7.84/5.45 tff(4452,plain,
% 7.84/5.45 (v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0)))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4451, 1133])).
% 7.84/5.45 tff(4453,plain,
% 7.84/5.45 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4454,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112')).
% 7.84/5.45 tff(4455,plain,
% 7.84/5.45 (nextState(constB112, constB113)),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4454, 4453])).
% 7.84/5.45 tff(4456,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4457,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4458,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4457, 4456])).
% 7.84/5.45 tff(4459,plain,
% 7.84/5.45 (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4458, 4455, 392])).
% 7.84/5.45 tff(4460,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4461,plain,
% 7.84/5.45 (((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113)))))) <=> ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4462,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))))),
% 7.84/5.45 inference(monotonicity,[status(thm)],[4461])).
% 7.84/5.45 tff(4463,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 7.84/5.45 inference(transitivity,[status(thm)],[4462, 4460])).
% 7.84/5.45 tff(4464,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4465,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 7.84/5.45 tff(4466,plain,
% 7.84/5.45 (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4465, 4455, 412])).
% 7.84/5.45 tff(4467,plain,
% 7.84/5.45 (((~v1(constB113)) | (~v102(constB113))) | v1(constB113)),
% 7.84/5.45 inference(tautology,[status(thm)],[])).
% 7.84/5.45 tff(4468,plain,
% 7.84/5.45 ((~v1(constB113)) | (~v102(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4467, 4414])).
% 7.84/5.45 tff(4469,plain,
% 7.84/5.45 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113)) | (~((~v1(constB113)) | (~v102(constB113))))),
% 7.84/5.45 inference(tautology,[status(thm)],[])).
% 7.84/5.45 tff(4470,plain,
% 7.84/5.45 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4469, 4468])).
% 7.84/5.45 tff(4471,plain,
% 7.84/5.45 (~v101(constB113)),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4470, 4466])).
% 7.84/5.45 tff(4472,plain,
% 7.84/5.45 (((~v101(constB113)) | (~v110(constB113))) | v101(constB113)),
% 7.84/5.45 inference(tautology,[status(thm)],[])).
% 7.84/5.45 tff(4473,plain,
% 7.84/5.45 ((~v101(constB113)) | (~v110(constB113))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4472, 4471])).
% 7.84/5.45 tff(4474,plain,
% 7.84/5.45 ((~(v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))) | (~v100(constB113)) | (~((~v101(constB113)) | (~v110(constB113))))),
% 7.84/5.45 inference(tautology,[status(thm)],[])).
% 7.84/5.45 tff(4475,plain,
% 7.84/5.45 (~v100(constB113)),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4474, 4473, 4459])).
% 7.84/5.45 tff(4476,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4477,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B))))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4478,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4477, 4476])).
% 7.84/5.45 tff(4479,plain,
% 7.84/5.45 (v100(constB113) | ![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4478, 4455, 441])).
% 7.84/5.45 tff(4480,plain,
% 7.84/5.45 (![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4479, 4475])).
% 7.84/5.45 tff(4481,plain,
% 7.84/5.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4482,plain,
% 7.84/5.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4483,plain,
% 7.84/5.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2))),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4482, 4481])).
% 7.84/5.45 tff(4484,plain,
% 7.84/5.45 (v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2)),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4483, 648, 4480])).
% 7.84/5.45 tff(4485,plain,
% 7.84/5.45 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4486,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111')).
% 7.84/5.45 tff(4487,plain,
% 7.84/5.45 (nextState(constB111, constB112)),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4486, 4485])).
% 7.84/5.45 tff(4488,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4489,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 7.84/5.45 inference(quant_inst,[status(thm)],[])).
% 7.84/5.45 tff(4490,plain,
% 7.84/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))),
% 7.84/5.45 inference(modus_ponens,[status(thm)],[4489, 4488])).
% 7.84/5.45 tff(4491,plain,
% 7.84/5.45 (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))),
% 7.84/5.45 inference(unit_resolution,[status(thm)],[4490, 4487, 392])).
% 7.84/5.45 tff(4492,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4493,plain,
% 7.84/5.45 (((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112)))))) <=> ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 7.84/5.45 inference(rewrite,[status(thm)],[])).
% 7.84/5.45 tff(4494,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))))),
% 7.84/5.45 inference(monotonicity,[status(thm)],[4493])).
% 7.84/5.45 tff(4495,plain,
% 7.84/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 7.88/5.45 inference(transitivity,[status(thm)],[4494, 4492])).
% 7.88/5.45 tff(4496,plain,
% 7.88/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4497,plain,
% 7.88/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))),
% 7.88/5.45 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 7.88/5.45 tff(4498,plain,
% 7.88/5.45 (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4497, 4487, 412])).
% 7.88/5.45 tff(4499,plain,
% 7.88/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))),
% 7.88/5.45 inference(rewrite,[status(thm)],[])).
% 7.88/5.45 tff(4500,plain,
% 7.88/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4501,plain,
% 7.88/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112))),
% 7.88/5.45 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 7.88/5.45 tff(4502,plain,
% 7.88/5.45 ((~v102(constB112)) <=> v104(constB112)),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4501, 4487, 474])).
% 7.88/5.45 tff(4503,plain,
% 7.88/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 7.88/5.45 inference(rewrite,[status(thm)],[])).
% 7.88/5.45 tff(4504,plain,
% 7.88/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4505,plain,
% 7.88/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111))),
% 7.88/5.45 inference(modus_ponens,[status(thm)],[4504, 4503])).
% 7.88/5.45 tff(4506,plain,
% 7.88/5.45 (v104(constB112) <=> v1(constB111)),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4505, 4487, 488])).
% 7.88/5.45 tff(4507,plain,
% 7.88/5.45 ((~v1(constB111)) <=> (~v1(constB111))),
% 7.88/5.45 inference(rewrite,[status(thm)],[])).
% 7.88/5.45 tff(4508,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111')).
% 7.88/5.45 tff(4509,plain,
% 7.88/5.45 (~v1(constB111)),
% 7.88/5.45 inference(modus_ponens,[status(thm)],[4508, 4507])).
% 7.88/5.45 tff(4510,plain,
% 7.88/5.45 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112)) | v1(constB111)),
% 7.88/5.45 inference(tautology,[status(thm)],[])).
% 7.88/5.45 tff(4511,plain,
% 7.88/5.45 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4510, 4509])).
% 7.88/5.45 tff(4512,plain,
% 7.88/5.45 (~v104(constB112)),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4511, 4506])).
% 7.88/5.45 tff(4513,plain,
% 7.88/5.45 ((~((~v102(constB112)) <=> v104(constB112))) | v102(constB112) | v104(constB112)),
% 7.88/5.45 inference(tautology,[status(thm)],[])).
% 7.88/5.45 tff(4514,plain,
% 7.88/5.45 (v102(constB112)),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4513, 4512, 4502])).
% 7.88/5.45 tff(4515,plain,
% 7.88/5.45 (v1(constB112) <=> v1(constB112)),
% 7.88/5.45 inference(rewrite,[status(thm)],[])).
% 7.88/5.45 tff(4516,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112')).
% 7.88/5.45 tff(4517,plain,
% 7.88/5.45 (v1(constB112)),
% 7.88/5.45 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 7.88/5.45 tff(4518,plain,
% 7.88/5.45 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v1(constB112)) | (~v102(constB112))),
% 7.88/5.45 inference(tautology,[status(thm)],[])).
% 7.88/5.45 tff(4519,plain,
% 7.88/5.45 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v102(constB112))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4518, 4517])).
% 7.88/5.45 tff(4520,plain,
% 7.88/5.45 (~((~v1(constB112)) | (~v102(constB112)))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4519, 4514])).
% 7.88/5.45 tff(4521,plain,
% 7.88/5.45 ((~(v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))) | v101(constB112) | ((~v1(constB112)) | (~v102(constB112)))),
% 7.88/5.45 inference(tautology,[status(thm)],[])).
% 7.88/5.45 tff(4522,plain,
% 7.88/5.45 (v101(constB112)),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4521, 4520, 4498])).
% 7.88/5.45 tff(4523,plain,
% 7.88/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 7.88/5.45 inference(rewrite,[status(thm)],[])).
% 7.88/5.45 tff(4524,plain,
% 7.88/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4525,plain,
% 7.88/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111))),
% 7.88/5.45 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 7.88/5.45 tff(4526,plain,
% 7.88/5.45 (v110(constB112) <=> v108(constB111)),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4525, 4487, 518])).
% 7.88/5.45 tff(4527,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB111) <=> (v111(constB111) | v112(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4528,plain,
% 7.88/5.45 (v108(constB111) <=> (v111(constB111) | v112(constB111))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4527, 529])).
% 7.88/5.45 tff(4529,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4530,plain,
% 7.88/5.45 (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111))))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4529, 541])).
% 7.88/5.45 tff(4531,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB111) <=> (v114(constB111) | v125(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4532,plain,
% 7.88/5.45 (v113(constB111) <=> (v114(constB111) | v125(constB111))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4531, 550])).
% 7.88/5.45 tff(4533,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB111) <=> (v115(constB111) | v124(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4534,plain,
% 7.88/5.45 (v114(constB111) <=> (v115(constB111) | v124(constB111))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4533, 559])).
% 7.88/5.45 tff(4535,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB111) <=> (v116(constB111) | v123(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4536,plain,
% 7.88/5.45 (v115(constB111) <=> (v116(constB111) | v123(constB111))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4535, 568])).
% 7.88/5.45 tff(4537,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB111) <=> (v117(constB111) | v122(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4538,plain,
% 7.88/5.45 (v116(constB111) <=> (v117(constB111) | v122(constB111))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4537, 577])).
% 7.88/5.45 tff(4539,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB111) <=> (v118(constB111) | v121(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4540,plain,
% 7.88/5.45 (v117(constB111) <=> (v118(constB111) | v121(constB111))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4539, 586])).
% 7.88/5.45 tff(4541,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB111) <=> (v119(constB111) | v120(constB111)))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4542,plain,
% 7.88/5.45 (v118(constB111) <=> (v119(constB111) | v120(constB111))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4541, 595])).
% 7.88/5.45 tff(4543,plain,
% 7.88/5.45 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0))))))),
% 7.88/5.45 inference(rewrite,[status(thm)],[])).
% 7.88/5.45 tff(4544,plain,
% 7.88/5.45 ((v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0))))) <=> (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))))),
% 7.88/5.45 inference(rewrite,[status(thm)],[])).
% 7.88/5.45 tff(4545,plain,
% 7.88/5.45 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0))))))),
% 7.88/5.45 inference(monotonicity,[status(thm)],[4544])).
% 7.88/5.45 tff(4546,plain,
% 7.88/5.45 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0))))))),
% 7.88/5.45 inference(transitivity,[status(thm)],[4545, 4543])).
% 7.88/5.45 tff(4547,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))))),
% 7.88/5.45 inference(quant_inst,[status(thm)],[])).
% 7.88/5.45 tff(4548,plain,
% 7.88/5.45 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))))),
% 7.88/5.45 inference(modus_ponens,[status(thm)],[4547, 4546])).
% 7.88/5.45 tff(4549,plain,
% 7.88/5.45 (v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0))))),
% 7.88/5.45 inference(unit_resolution,[status(thm)],[4548, 610])).
% 7.88/5.45 tff(4550,plain,
% 7.88/5.45 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 7.88/5.45 inference(rewrite,[status(thm)],[])).
% 7.88/5.45 tff(4551,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110')).
% 7.88/5.45 tff(4552,plain,
% 7.88/5.45 (nextState(constB110, constB111)),
% 7.88/5.45 inference(modus_ponens,[status(thm)],[4551, 4550])).
% 7.88/5.45 tff(4553,plain,
% 7.88/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4554,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4555,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 7.88/5.46 tff(4556,plain,
% 7.88/5.46 (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4555, 4552, 392])).
% 7.88/5.46 tff(4557,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4558,plain,
% 7.88/5.46 (((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4559,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))))),
% 7.88/5.46 inference(monotonicity,[status(thm)],[4558])).
% 7.88/5.46 tff(4560,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 7.88/5.46 inference(transitivity,[status(thm)],[4559, 4557])).
% 7.88/5.46 tff(4561,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4562,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4561, 4560])).
% 7.88/5.46 tff(4563,plain,
% 7.88/5.46 (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4562, 4552, 412])).
% 7.88/5.46 tff(4564,plain,
% 7.88/5.46 (((~v1(constB111)) | (~v102(constB111))) | v1(constB111)),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4565,plain,
% 7.88/5.46 ((~v1(constB111)) | (~v102(constB111))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4564, 4509])).
% 7.88/5.46 tff(4566,plain,
% 7.88/5.46 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111)) | (~((~v1(constB111)) | (~v102(constB111))))),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4567,plain,
% 7.88/5.46 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4566, 4565])).
% 7.88/5.46 tff(4568,plain,
% 7.88/5.46 (~v101(constB111)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4567, 4563])).
% 7.88/5.46 tff(4569,plain,
% 7.88/5.46 (((~v101(constB111)) | (~v110(constB111))) | v101(constB111)),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4570,plain,
% 7.88/5.46 ((~v101(constB111)) | (~v110(constB111))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4569, 4568])).
% 7.88/5.46 tff(4571,plain,
% 7.88/5.46 ((~(v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))) | (~v100(constB111)) | (~((~v101(constB111)) | (~v110(constB111))))),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4572,plain,
% 7.88/5.46 (~v100(constB111)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4571, 4570, 4556])).
% 7.88/5.46 tff(4573,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4574,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4575,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4574, 4573])).
% 7.88/5.46 tff(4576,plain,
% 7.88/5.46 (v100(constB111) | ![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4575, 4552, 441])).
% 7.88/5.46 tff(4577,plain,
% 7.88/5.46 (![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4576, 4572])).
% 7.88/5.46 tff(4578,plain,
% 7.88/5.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4579,plain,
% 7.88/5.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4580,plain,
% 7.88/5.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 7.88/5.46 tff(4581,plain,
% 7.88/5.46 (v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4580, 648, 4577])).
% 7.88/5.46 tff(4582,plain,
% 7.88/5.46 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4583,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109')).
% 7.88/5.46 tff(4584,plain,
% 7.88/5.46 (nextState(constB109, constB110)),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 7.88/5.46 tff(4585,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4586,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4587,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 7.88/5.46 tff(4588,plain,
% 7.88/5.46 (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4587, 4584, 392])).
% 7.88/5.46 tff(4589,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4590,plain,
% 7.88/5.46 (((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4591,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))))),
% 7.88/5.46 inference(monotonicity,[status(thm)],[4590])).
% 7.88/5.46 tff(4592,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 7.88/5.46 inference(transitivity,[status(thm)],[4591, 4589])).
% 7.88/5.46 tff(4593,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4594,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 7.88/5.46 tff(4595,plain,
% 7.88/5.46 (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4594, 4584, 412])).
% 7.88/5.46 tff(4596,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4597,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4598,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4597, 4596])).
% 7.88/5.46 tff(4599,plain,
% 7.88/5.46 ((~v102(constB110)) <=> v104(constB110)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4598, 4584, 474])).
% 7.88/5.46 tff(4600,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4601,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4602,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4601, 4600])).
% 7.88/5.46 tff(4603,plain,
% 7.88/5.46 (v104(constB110) <=> v1(constB109)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4602, 4584, 488])).
% 7.88/5.46 tff(4604,plain,
% 7.88/5.46 ((~v1(constB109)) <=> (~v1(constB109))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4605,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109')).
% 7.88/5.46 tff(4606,plain,
% 7.88/5.46 (~v1(constB109)),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 7.88/5.46 tff(4607,plain,
% 7.88/5.46 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110)) | v1(constB109)),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4608,plain,
% 7.88/5.46 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4607, 4606])).
% 7.88/5.46 tff(4609,plain,
% 7.88/5.46 (~v104(constB110)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4608, 4603])).
% 7.88/5.46 tff(4610,plain,
% 7.88/5.46 ((~((~v102(constB110)) <=> v104(constB110))) | v102(constB110) | v104(constB110)),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4611,plain,
% 7.88/5.46 (v102(constB110)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4610, 4609, 4599])).
% 7.88/5.46 tff(4612,plain,
% 7.88/5.46 (v1(constB110) <=> v1(constB110)),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4613,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110')).
% 7.88/5.46 tff(4614,plain,
% 7.88/5.46 (v1(constB110)),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4613, 4612])).
% 7.88/5.46 tff(4615,plain,
% 7.88/5.46 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v1(constB110)) | (~v102(constB110))),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4616,plain,
% 7.88/5.46 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v102(constB110))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4615, 4614])).
% 7.88/5.46 tff(4617,plain,
% 7.88/5.46 (~((~v1(constB110)) | (~v102(constB110)))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4616, 4611])).
% 7.88/5.46 tff(4618,plain,
% 7.88/5.46 ((~(v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))) | v101(constB110) | ((~v1(constB110)) | (~v102(constB110)))),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4619,plain,
% 7.88/5.46 (v101(constB110)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4618, 4617, 4595])).
% 7.88/5.46 tff(4620,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4621,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4622,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 7.88/5.46 tff(4623,plain,
% 7.88/5.46 (v110(constB110) <=> v108(constB109)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4622, 4584, 518])).
% 7.88/5.46 tff(4624,plain,
% 7.88/5.46 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB109) <=> (v111(constB109) | v112(constB109)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4625,plain,
% 7.88/5.46 (v108(constB109) <=> (v111(constB109) | v112(constB109))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4624, 529])).
% 7.88/5.46 tff(4626,plain,
% 7.88/5.46 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4627,plain,
% 7.88/5.46 (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4626, 541])).
% 7.88/5.46 tff(4628,plain,
% 7.88/5.46 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB109) <=> (v114(constB109) | v125(constB109)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4629,plain,
% 7.88/5.46 (v113(constB109) <=> (v114(constB109) | v125(constB109))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4628, 550])).
% 7.88/5.46 tff(4630,plain,
% 7.88/5.46 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4631,plain,
% 7.88/5.46 ((v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2))))) <=> (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4632,plain,
% 7.88/5.46 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 7.88/5.46 inference(monotonicity,[status(thm)],[4631])).
% 7.88/5.46 tff(4633,plain,
% 7.88/5.46 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 7.88/5.46 inference(transitivity,[status(thm)],[4632, 4630])).
% 7.88/5.46 tff(4634,plain,
% 7.88/5.46 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4635,plain,
% 7.88/5.46 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 7.88/5.46 tff(4636,plain,
% 7.88/5.46 (v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4635, 713])).
% 7.88/5.46 tff(4637,plain,
% 7.88/5.46 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4638,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108')).
% 7.88/5.46 tff(4639,plain,
% 7.88/5.46 (nextState(constB108, constB109)),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4638, 4637])).
% 7.88/5.46 tff(4640,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4641,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4642,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 7.88/5.46 tff(4643,plain,
% 7.88/5.46 (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4642, 4639, 392])).
% 7.88/5.46 tff(4644,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4645,plain,
% 7.88/5.46 (((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4646,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))))),
% 7.88/5.46 inference(monotonicity,[status(thm)],[4645])).
% 7.88/5.46 tff(4647,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 7.88/5.46 inference(transitivity,[status(thm)],[4646, 4644])).
% 7.88/5.46 tff(4648,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4649,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 7.88/5.46 tff(4650,plain,
% 7.88/5.46 (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4649, 4639, 412])).
% 7.88/5.46 tff(4651,plain,
% 7.88/5.46 (((~v1(constB109)) | (~v102(constB109))) | v1(constB109)),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4652,plain,
% 7.88/5.46 ((~v1(constB109)) | (~v102(constB109))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4651, 4606])).
% 7.88/5.46 tff(4653,plain,
% 7.88/5.46 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109)) | (~((~v1(constB109)) | (~v102(constB109))))),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4654,plain,
% 7.88/5.46 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4653, 4652])).
% 7.88/5.46 tff(4655,plain,
% 7.88/5.46 (~v101(constB109)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4654, 4650])).
% 7.88/5.46 tff(4656,plain,
% 7.88/5.46 (((~v101(constB109)) | (~v110(constB109))) | v101(constB109)),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4657,plain,
% 7.88/5.46 ((~v101(constB109)) | (~v110(constB109))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4656, 4655])).
% 7.88/5.46 tff(4658,plain,
% 7.88/5.46 ((~(v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))) | (~v100(constB109)) | (~((~v101(constB109)) | (~v110(constB109))))),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4659,plain,
% 7.88/5.46 (~v100(constB109)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4658, 4657, 4643])).
% 7.88/5.46 tff(4660,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4661,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4662,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4661, 4660])).
% 7.88/5.46 tff(4663,plain,
% 7.88/5.46 (v100(constB109) | ![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4662, 4639, 441])).
% 7.88/5.46 tff(4664,plain,
% 7.88/5.46 (![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4663, 4659])).
% 7.88/5.46 tff(4665,plain,
% 7.88/5.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4666,plain,
% 7.88/5.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4667,plain,
% 7.88/5.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 7.88/5.46 tff(4668,plain,
% 7.88/5.46 (v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4667, 648, 4664])).
% 7.88/5.46 tff(4669,plain,
% 7.88/5.46 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4670,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107')).
% 7.88/5.46 tff(4671,plain,
% 7.88/5.46 (nextState(constB107, constB108)),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4670, 4669])).
% 7.88/5.46 tff(4672,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4673,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4674,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4673, 4672])).
% 7.88/5.46 tff(4675,plain,
% 7.88/5.46 (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4674, 4671, 392])).
% 7.88/5.46 tff(4676,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4677,plain,
% 7.88/5.46 (((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4678,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))))),
% 7.88/5.46 inference(monotonicity,[status(thm)],[4677])).
% 7.88/5.46 tff(4679,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 7.88/5.46 inference(transitivity,[status(thm)],[4678, 4676])).
% 7.88/5.46 tff(4680,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4681,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4680, 4679])).
% 7.88/5.46 tff(4682,plain,
% 7.88/5.46 (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4681, 4671, 412])).
% 7.88/5.46 tff(4683,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4684,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4685,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4684, 4683])).
% 7.88/5.46 tff(4686,plain,
% 7.88/5.46 ((~v102(constB108)) <=> v104(constB108)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4685, 4671, 474])).
% 7.88/5.46 tff(4687,plain,
% 7.88/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4688,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 7.88/5.46 inference(quant_inst,[status(thm)],[])).
% 7.88/5.46 tff(4689,plain,
% 7.88/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107))),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 7.88/5.46 tff(4690,plain,
% 7.88/5.46 (v104(constB108) <=> v1(constB107)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4689, 4671, 488])).
% 7.88/5.46 tff(4691,plain,
% 7.88/5.46 ((~v1(constB107)) <=> (~v1(constB107))),
% 7.88/5.46 inference(rewrite,[status(thm)],[])).
% 7.88/5.46 tff(4692,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107')).
% 7.88/5.46 tff(4693,plain,
% 7.88/5.46 (~v1(constB107)),
% 7.88/5.46 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 7.88/5.46 tff(4694,plain,
% 7.88/5.46 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108)) | v1(constB107)),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4695,plain,
% 7.88/5.46 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108))),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4694, 4693])).
% 7.88/5.46 tff(4696,plain,
% 7.88/5.46 (~v104(constB108)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4695, 4690])).
% 7.88/5.46 tff(4697,plain,
% 7.88/5.46 ((~((~v102(constB108)) <=> v104(constB108))) | v102(constB108) | v104(constB108)),
% 7.88/5.46 inference(tautology,[status(thm)],[])).
% 7.88/5.46 tff(4698,plain,
% 7.88/5.46 (v102(constB108)),
% 7.88/5.46 inference(unit_resolution,[status(thm)],[4697, 4696, 4686])).
% 7.88/5.46 tff(4699,plain,
% 7.88/5.46 (v1(constB108) <=> v1(constB108)),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4700,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108')).
% 7.88/5.47 tff(4701,plain,
% 7.88/5.47 (v1(constB108)),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 7.88/5.47 tff(4702,plain,
% 7.88/5.47 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v1(constB108)) | (~v102(constB108))),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4703,plain,
% 7.88/5.47 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v102(constB108))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4702, 4701])).
% 7.88/5.47 tff(4704,plain,
% 7.88/5.47 (~((~v1(constB108)) | (~v102(constB108)))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4703, 4698])).
% 7.88/5.47 tff(4705,plain,
% 7.88/5.47 ((~(v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))) | v101(constB108) | ((~v1(constB108)) | (~v102(constB108)))),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4706,plain,
% 7.88/5.47 (v101(constB108)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4705, 4704, 4682])).
% 7.88/5.47 tff(4707,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4708,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4709,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4708, 4707])).
% 7.88/5.47 tff(4710,plain,
% 7.88/5.47 (v110(constB108) <=> v108(constB107)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4709, 4671, 518])).
% 7.88/5.47 tff(4711,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB107) <=> (v111(constB107) | v112(constB107)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4712,plain,
% 7.88/5.47 (v108(constB107) <=> (v111(constB107) | v112(constB107))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4711, 529])).
% 7.88/5.47 tff(4713,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4714,plain,
% 7.88/5.47 (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4713, 541])).
% 7.88/5.47 tff(4715,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB107) <=> (v114(constB107) | v125(constB107)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4716,plain,
% 7.88/5.47 (v113(constB107) <=> (v114(constB107) | v125(constB107))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4715, 550])).
% 7.88/5.47 tff(4717,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB107) <=> (v115(constB107) | v124(constB107)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4718,plain,
% 7.88/5.47 (v114(constB107) <=> (v115(constB107) | v124(constB107))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4717, 559])).
% 7.88/5.47 tff(4719,plain,
% 7.88/5.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4720,plain,
% 7.88/5.47 ((v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2))))) <=> (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4721,plain,
% 7.88/5.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))))),
% 7.88/5.47 inference(monotonicity,[status(thm)],[4720])).
% 7.88/5.47 tff(4722,plain,
% 7.88/5.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))))),
% 7.88/5.47 inference(transitivity,[status(thm)],[4721, 4719])).
% 7.88/5.47 tff(4723,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2)))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4724,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 7.88/5.47 tff(4725,plain,
% 7.88/5.47 (v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4724, 815])).
% 7.88/5.47 tff(4726,plain,
% 7.88/5.47 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4727,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106')).
% 7.88/5.47 tff(4728,plain,
% 7.88/5.47 (nextState(constB106, constB107)),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 7.88/5.47 tff(4729,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4730,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4731,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 7.88/5.47 tff(4732,plain,
% 7.88/5.47 (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4731, 4728, 392])).
% 7.88/5.47 tff(4733,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4734,plain,
% 7.88/5.47 (((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107)))))) <=> ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4735,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))))),
% 7.88/5.47 inference(monotonicity,[status(thm)],[4734])).
% 7.88/5.47 tff(4736,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 7.88/5.47 inference(transitivity,[status(thm)],[4735, 4733])).
% 7.88/5.47 tff(4737,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4738,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4737, 4736])).
% 7.88/5.47 tff(4739,plain,
% 7.88/5.47 (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4738, 4728, 412])).
% 7.88/5.47 tff(4740,plain,
% 7.88/5.47 (((~v1(constB107)) | (~v102(constB107))) | v1(constB107)),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4741,plain,
% 7.88/5.47 ((~v1(constB107)) | (~v102(constB107))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4740, 4693])).
% 7.88/5.47 tff(4742,plain,
% 7.88/5.47 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107)) | (~((~v1(constB107)) | (~v102(constB107))))),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4743,plain,
% 7.88/5.47 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4742, 4741])).
% 7.88/5.47 tff(4744,plain,
% 7.88/5.47 (~v101(constB107)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4743, 4739])).
% 7.88/5.47 tff(4745,plain,
% 7.88/5.47 (((~v101(constB107)) | (~v110(constB107))) | v101(constB107)),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4746,plain,
% 7.88/5.47 ((~v101(constB107)) | (~v110(constB107))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4745, 4744])).
% 7.88/5.47 tff(4747,plain,
% 7.88/5.47 ((~(v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))) | (~v100(constB107)) | (~((~v101(constB107)) | (~v110(constB107))))),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4748,plain,
% 7.88/5.47 (~v100(constB107)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4747, 4746, 4732])).
% 7.88/5.47 tff(4749,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4750,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4751,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4750, 4749])).
% 7.88/5.47 tff(4752,plain,
% 7.88/5.47 (v100(constB107) | ![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4751, 4728, 441])).
% 7.88/5.47 tff(4753,plain,
% 7.88/5.47 (![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4752, 4748])).
% 7.88/5.47 tff(4754,plain,
% 7.88/5.47 (((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4755,plain,
% 7.88/5.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4756,plain,
% 7.88/5.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4755, 4754])).
% 7.88/5.47 tff(4757,plain,
% 7.88/5.47 (v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4756, 648, 4753])).
% 7.88/5.47 tff(4758,plain,
% 7.88/5.47 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4759,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105')).
% 7.88/5.47 tff(4760,plain,
% 7.88/5.47 (nextState(constB105, constB106)),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4759, 4758])).
% 7.88/5.47 tff(4761,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4762,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4763,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 7.88/5.47 tff(4764,plain,
% 7.88/5.47 (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4763, 4760, 392])).
% 7.88/5.47 tff(4765,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4766,plain,
% 7.88/5.47 (((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106)))))) <=> ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4767,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))))),
% 7.88/5.47 inference(monotonicity,[status(thm)],[4766])).
% 7.88/5.47 tff(4768,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 7.88/5.47 inference(transitivity,[status(thm)],[4767, 4765])).
% 7.88/5.47 tff(4769,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4770,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 7.88/5.47 tff(4771,plain,
% 7.88/5.47 (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4770, 4760, 412])).
% 7.88/5.47 tff(4772,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4773,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4774,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4773, 4772])).
% 7.88/5.47 tff(4775,plain,
% 7.88/5.47 ((~v102(constB106)) <=> v104(constB106)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4774, 4760, 474])).
% 7.88/5.47 tff(4776,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4777,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4778,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4777, 4776])).
% 7.88/5.47 tff(4779,plain,
% 7.88/5.47 (v104(constB106) <=> v1(constB105)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4778, 4760, 488])).
% 7.88/5.47 tff(4780,plain,
% 7.88/5.47 ((~v1(constB105)) <=> (~v1(constB105))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4781,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105')).
% 7.88/5.47 tff(4782,plain,
% 7.88/5.47 (~v1(constB105)),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4781, 4780])).
% 7.88/5.47 tff(4783,plain,
% 7.88/5.47 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106)) | v1(constB105)),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4784,plain,
% 7.88/5.47 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4783, 4782])).
% 7.88/5.47 tff(4785,plain,
% 7.88/5.47 (~v104(constB106)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4784, 4779])).
% 7.88/5.47 tff(4786,plain,
% 7.88/5.47 ((~((~v102(constB106)) <=> v104(constB106))) | v102(constB106) | v104(constB106)),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4787,plain,
% 7.88/5.47 (v102(constB106)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4786, 4785, 4775])).
% 7.88/5.47 tff(4788,plain,
% 7.88/5.47 (v1(constB106) <=> v1(constB106)),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4789,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106')).
% 7.88/5.47 tff(4790,plain,
% 7.88/5.47 (v1(constB106)),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 7.88/5.47 tff(4791,plain,
% 7.88/5.47 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v1(constB106)) | (~v102(constB106))),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4792,plain,
% 7.88/5.47 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v102(constB106))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4791, 4790])).
% 7.88/5.47 tff(4793,plain,
% 7.88/5.47 (~((~v1(constB106)) | (~v102(constB106)))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4792, 4787])).
% 7.88/5.47 tff(4794,plain,
% 7.88/5.47 ((~(v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))) | v101(constB106) | ((~v1(constB106)) | (~v102(constB106)))),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4795,plain,
% 7.88/5.47 (v101(constB106)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4794, 4793, 4771])).
% 7.88/5.47 tff(4796,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4797,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4798,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 7.88/5.47 tff(4799,plain,
% 7.88/5.47 (v110(constB106) <=> v108(constB105)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4798, 4760, 518])).
% 7.88/5.47 tff(4800,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB105) <=> (v111(constB105) | v112(constB105)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4801,plain,
% 7.88/5.47 (v108(constB105) <=> (v111(constB105) | v112(constB105))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4800, 529])).
% 7.88/5.47 tff(4802,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4803,plain,
% 7.88/5.47 (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4802, 541])).
% 7.88/5.47 tff(4804,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB105) <=> (v114(constB105) | v125(constB105)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4805,plain,
% 7.88/5.47 (v113(constB105) <=> (v114(constB105) | v125(constB105))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4804, 550])).
% 7.88/5.47 tff(4806,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB105) <=> (v115(constB105) | v124(constB105)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4807,plain,
% 7.88/5.47 (v114(constB105) <=> (v115(constB105) | v124(constB105))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4806, 559])).
% 7.88/5.47 tff(4808,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB105) <=> (v116(constB105) | v123(constB105)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4809,plain,
% 7.88/5.47 (v115(constB105) <=> (v116(constB105) | v123(constB105))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4808, 568])).
% 7.88/5.47 tff(4810,plain,
% 7.88/5.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4811,plain,
% 7.88/5.47 ((v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2))))) <=> (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4812,plain,
% 7.88/5.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))))),
% 7.88/5.47 inference(monotonicity,[status(thm)],[4811])).
% 7.88/5.47 tff(4813,plain,
% 7.88/5.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))))),
% 7.88/5.47 inference(transitivity,[status(thm)],[4812, 4810])).
% 7.88/5.47 tff(4814,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4815,plain,
% 7.88/5.47 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 7.88/5.47 tff(4816,plain,
% 7.88/5.47 (v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4815, 919])).
% 7.88/5.47 tff(4817,plain,
% 7.88/5.47 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4818,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104')).
% 7.88/5.47 tff(4819,plain,
% 7.88/5.47 (nextState(constB104, constB105)),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4818, 4817])).
% 7.88/5.47 tff(4820,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4821,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4822,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 7.88/5.47 tff(4823,plain,
% 7.88/5.47 (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4822, 4819, 392])).
% 7.88/5.47 tff(4824,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4825,plain,
% 7.88/5.47 (((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105)))))) <=> ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4826,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))))),
% 7.88/5.47 inference(monotonicity,[status(thm)],[4825])).
% 7.88/5.47 tff(4827,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 7.88/5.47 inference(transitivity,[status(thm)],[4826, 4824])).
% 7.88/5.47 tff(4828,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4829,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 7.88/5.47 tff(4830,plain,
% 7.88/5.47 (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4829, 4819, 412])).
% 7.88/5.47 tff(4831,plain,
% 7.88/5.47 (((~v1(constB105)) | (~v102(constB105))) | v1(constB105)),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4832,plain,
% 7.88/5.47 ((~v1(constB105)) | (~v102(constB105))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4831, 4782])).
% 7.88/5.47 tff(4833,plain,
% 7.88/5.47 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105)) | (~((~v1(constB105)) | (~v102(constB105))))),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4834,plain,
% 7.88/5.47 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4833, 4832])).
% 7.88/5.47 tff(4835,plain,
% 7.88/5.47 (~v101(constB105)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4834, 4830])).
% 7.88/5.47 tff(4836,plain,
% 7.88/5.47 (((~v101(constB105)) | (~v110(constB105))) | v101(constB105)),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4837,plain,
% 7.88/5.47 ((~v101(constB105)) | (~v110(constB105))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4836, 4835])).
% 7.88/5.47 tff(4838,plain,
% 7.88/5.47 ((~(v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))) | (~v100(constB105)) | (~((~v101(constB105)) | (~v110(constB105))))),
% 7.88/5.47 inference(tautology,[status(thm)],[])).
% 7.88/5.47 tff(4839,plain,
% 7.88/5.47 (~v100(constB105)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4838, 4837, 4823])).
% 7.88/5.47 tff(4840,plain,
% 7.88/5.47 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B))))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4841,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B))))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4842,plain,
% 7.88/5.47 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 7.88/5.47 tff(4843,plain,
% 7.88/5.47 (v100(constB105) | ![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4842, 4819, 441])).
% 7.88/5.47 tff(4844,plain,
% 7.88/5.47 (![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4843, 4839])).
% 7.88/5.47 tff(4845,plain,
% 7.88/5.47 (((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)))),
% 7.88/5.47 inference(rewrite,[status(thm)],[])).
% 7.88/5.47 tff(4846,plain,
% 7.88/5.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)))),
% 7.88/5.47 inference(quant_inst,[status(thm)],[])).
% 7.88/5.47 tff(4847,plain,
% 7.88/5.47 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2))),
% 7.88/5.47 inference(modus_ponens,[status(thm)],[4846, 4845])).
% 7.88/5.47 tff(4848,plain,
% 7.88/5.47 (v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2)),
% 7.88/5.47 inference(unit_resolution,[status(thm)],[4847, 648, 4844])).
% 7.88/5.48 tff(4849,plain,
% 7.88/5.48 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4850,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103')).
% 7.88/5.48 tff(4851,plain,
% 7.88/5.48 (nextState(constB103, constB104)),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4850, 4849])).
% 7.88/5.48 tff(4852,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4853,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4854,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 7.88/5.48 tff(4855,plain,
% 7.88/5.48 (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4854, 4851, 392])).
% 7.88/5.48 tff(4856,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4857,plain,
% 7.88/5.48 (((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104)))))) <=> ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4858,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))))),
% 7.88/5.48 inference(monotonicity,[status(thm)],[4857])).
% 7.88/5.48 tff(4859,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 7.88/5.48 inference(transitivity,[status(thm)],[4858, 4856])).
% 7.88/5.48 tff(4860,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4861,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4860, 4859])).
% 7.88/5.48 tff(4862,plain,
% 7.88/5.48 (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4861, 4851, 412])).
% 7.88/5.48 tff(4863,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4864,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4865,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4864, 4863])).
% 7.88/5.48 tff(4866,plain,
% 7.88/5.48 ((~v102(constB104)) <=> v104(constB104)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4865, 4851, 474])).
% 7.88/5.48 tff(4867,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4868,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4869,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4868, 4867])).
% 7.88/5.48 tff(4870,plain,
% 7.88/5.48 (v104(constB104) <=> v1(constB103)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4869, 4851, 488])).
% 7.88/5.48 tff(4871,plain,
% 7.88/5.48 ((~v1(constB103)) <=> (~v1(constB103))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4872,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103')).
% 7.88/5.48 tff(4873,plain,
% 7.88/5.48 (~v1(constB103)),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 7.88/5.48 tff(4874,plain,
% 7.88/5.48 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104)) | v1(constB103)),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4875,plain,
% 7.88/5.48 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4874, 4873])).
% 7.88/5.48 tff(4876,plain,
% 7.88/5.48 (~v104(constB104)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4875, 4870])).
% 7.88/5.48 tff(4877,plain,
% 7.88/5.48 ((~((~v102(constB104)) <=> v104(constB104))) | v102(constB104) | v104(constB104)),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4878,plain,
% 7.88/5.48 (v102(constB104)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4877, 4876, 4866])).
% 7.88/5.48 tff(4879,plain,
% 7.88/5.48 (v1(constB104) <=> v1(constB104)),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4880,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104')).
% 7.88/5.48 tff(4881,plain,
% 7.88/5.48 (v1(constB104)),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4880, 4879])).
% 7.88/5.48 tff(4882,plain,
% 7.88/5.48 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v1(constB104)) | (~v102(constB104))),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4883,plain,
% 7.88/5.48 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v102(constB104))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4882, 4881])).
% 7.88/5.48 tff(4884,plain,
% 7.88/5.48 (~((~v1(constB104)) | (~v102(constB104)))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4883, 4878])).
% 7.88/5.48 tff(4885,plain,
% 7.88/5.48 ((~(v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))) | v101(constB104) | ((~v1(constB104)) | (~v102(constB104)))),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4886,plain,
% 7.88/5.48 (v101(constB104)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4885, 4884, 4862])).
% 7.88/5.48 tff(4887,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4888,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4889,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4888, 4887])).
% 7.88/5.48 tff(4890,plain,
% 7.88/5.48 (v110(constB104) <=> v108(constB103)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4889, 4851, 518])).
% 7.88/5.48 tff(4891,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB103) <=> (v111(constB103) | v112(constB103)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4892,plain,
% 7.88/5.48 (v108(constB103) <=> (v111(constB103) | v112(constB103))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4891, 529])).
% 7.88/5.48 tff(4893,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4894,plain,
% 7.88/5.48 (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4893, 541])).
% 7.88/5.48 tff(4895,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB103) <=> (v114(constB103) | v125(constB103)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4896,plain,
% 7.88/5.48 (v113(constB103) <=> (v114(constB103) | v125(constB103))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4895, 550])).
% 7.88/5.48 tff(4897,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB103) <=> (v115(constB103) | v124(constB103)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4898,plain,
% 7.88/5.48 (v114(constB103) <=> (v115(constB103) | v124(constB103))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4897, 559])).
% 7.88/5.48 tff(4899,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB103) <=> (v116(constB103) | v123(constB103)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4900,plain,
% 7.88/5.48 (v115(constB103) <=> (v116(constB103) | v123(constB103))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4899, 568])).
% 7.88/5.48 tff(4901,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB103) <=> (v117(constB103) | v122(constB103)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4902,plain,
% 7.88/5.48 (v116(constB103) <=> (v117(constB103) | v122(constB103))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4901, 577])).
% 7.88/5.48 tff(4903,plain,
% 7.88/5.48 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4904,plain,
% 7.88/5.48 ((v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1))))) <=> (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4905,plain,
% 7.88/5.48 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))))),
% 7.88/5.48 inference(monotonicity,[status(thm)],[4904])).
% 7.88/5.48 tff(4906,plain,
% 7.88/5.48 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))))),
% 7.88/5.48 inference(transitivity,[status(thm)],[4905, 4903])).
% 7.88/5.48 tff(4907,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4908,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 7.88/5.48 tff(4909,plain,
% 7.88/5.48 (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4908, 1025])).
% 7.88/5.48 tff(4910,plain,
% 7.88/5.48 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4911,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102')).
% 7.88/5.48 tff(4912,plain,
% 7.88/5.48 (nextState(constB102, constB103)),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 7.88/5.48 tff(4913,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4914,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4915,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4914, 4913])).
% 7.88/5.48 tff(4916,plain,
% 7.88/5.48 (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4915, 4912, 392])).
% 7.88/5.48 tff(4917,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4918,plain,
% 7.88/5.48 (((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103)))))) <=> ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4919,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))))),
% 7.88/5.48 inference(monotonicity,[status(thm)],[4918])).
% 7.88/5.48 tff(4920,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 7.88/5.48 inference(transitivity,[status(thm)],[4919, 4917])).
% 7.88/5.48 tff(4921,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4922,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 7.88/5.48 tff(4923,plain,
% 7.88/5.48 (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4922, 4912, 412])).
% 7.88/5.48 tff(4924,plain,
% 7.88/5.48 (((~v1(constB103)) | (~v102(constB103))) | v1(constB103)),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4925,plain,
% 7.88/5.48 ((~v1(constB103)) | (~v102(constB103))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4924, 4873])).
% 7.88/5.48 tff(4926,plain,
% 7.88/5.48 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103)) | (~((~v1(constB103)) | (~v102(constB103))))),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4927,plain,
% 7.88/5.48 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4926, 4925])).
% 7.88/5.48 tff(4928,plain,
% 7.88/5.48 (~v101(constB103)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4927, 4923])).
% 7.88/5.48 tff(4929,plain,
% 7.88/5.48 (((~v101(constB103)) | (~v110(constB103))) | v101(constB103)),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4930,plain,
% 7.88/5.48 ((~v101(constB103)) | (~v110(constB103))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4929, 4928])).
% 7.88/5.48 tff(4931,plain,
% 7.88/5.48 ((~(v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))) | (~v100(constB103)) | (~((~v101(constB103)) | (~v110(constB103))))),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4932,plain,
% 7.88/5.48 (~v100(constB103)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4931, 4930, 4916])).
% 7.88/5.48 tff(4933,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4934,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4935,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 7.88/5.48 tff(4936,plain,
% 7.88/5.48 (v100(constB103) | ![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4935, 4912, 441])).
% 7.88/5.48 tff(4937,plain,
% 7.88/5.48 (![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4936, 4932])).
% 7.88/5.48 tff(4938,plain,
% 7.88/5.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4939,plain,
% 7.88/5.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4940,plain,
% 7.88/5.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 7.88/5.48 tff(4941,plain,
% 7.88/5.48 (v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4940, 648, 4937])).
% 7.88/5.48 tff(4942,plain,
% 7.88/5.48 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4943,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101')).
% 7.88/5.48 tff(4944,plain,
% 7.88/5.48 (nextState(constB101, constB102)),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4943, 4942])).
% 7.88/5.48 tff(4945,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4946,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4947,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 7.88/5.48 tff(4948,plain,
% 7.88/5.48 (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4947, 4944, 392])).
% 7.88/5.48 tff(4949,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4950,plain,
% 7.88/5.48 (((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102)))))) <=> ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4951,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))))),
% 7.88/5.48 inference(monotonicity,[status(thm)],[4950])).
% 7.88/5.48 tff(4952,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 7.88/5.48 inference(transitivity,[status(thm)],[4951, 4949])).
% 7.88/5.48 tff(4953,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4954,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 7.88/5.48 tff(4955,plain,
% 7.88/5.48 (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4954, 4944, 412])).
% 7.88/5.48 tff(4956,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4957,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4958,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4957, 4956])).
% 7.88/5.48 tff(4959,plain,
% 7.88/5.48 ((~v102(constB102)) <=> v104(constB102)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4958, 4944, 474])).
% 7.88/5.48 tff(4960,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4961,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4962,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 7.88/5.48 tff(4963,plain,
% 7.88/5.48 (v104(constB102) <=> v1(constB101)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4962, 4944, 488])).
% 7.88/5.48 tff(4964,plain,
% 7.88/5.48 ((~v1(constB101)) <=> (~v1(constB101))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4965,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101')).
% 7.88/5.48 tff(4966,plain,
% 7.88/5.48 (~v1(constB101)),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 7.88/5.48 tff(4967,plain,
% 7.88/5.48 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102)) | v1(constB101)),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4968,plain,
% 7.88/5.48 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4967, 4966])).
% 7.88/5.48 tff(4969,plain,
% 7.88/5.48 (~v104(constB102)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4968, 4963])).
% 7.88/5.48 tff(4970,plain,
% 7.88/5.48 ((~((~v102(constB102)) <=> v104(constB102))) | v102(constB102) | v104(constB102)),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4971,plain,
% 7.88/5.48 (v102(constB102)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4970, 4969, 4959])).
% 7.88/5.48 tff(4972,plain,
% 7.88/5.48 (v1(constB102) <=> v1(constB102)),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4973,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102')).
% 7.88/5.48 tff(4974,plain,
% 7.88/5.48 (v1(constB102)),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 7.88/5.48 tff(4975,plain,
% 7.88/5.48 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v1(constB102)) | (~v102(constB102))),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4976,plain,
% 7.88/5.48 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v102(constB102))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4975, 4974])).
% 7.88/5.48 tff(4977,plain,
% 7.88/5.48 (~((~v1(constB102)) | (~v102(constB102)))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4976, 4971])).
% 7.88/5.48 tff(4978,plain,
% 7.88/5.48 ((~(v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))) | v101(constB102) | ((~v1(constB102)) | (~v102(constB102)))),
% 7.88/5.48 inference(tautology,[status(thm)],[])).
% 7.88/5.48 tff(4979,plain,
% 7.88/5.48 (v101(constB102)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4978, 4977, 4955])).
% 7.88/5.48 tff(4980,plain,
% 7.88/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4981,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4982,plain,
% 7.88/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101))),
% 7.88/5.48 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 7.88/5.48 tff(4983,plain,
% 7.88/5.48 (v110(constB102) <=> v108(constB101)),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4982, 4944, 518])).
% 7.88/5.48 tff(4984,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB101) <=> (v111(constB101) | v112(constB101)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4985,plain,
% 7.88/5.48 (v108(constB101) <=> (v111(constB101) | v112(constB101))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4984, 529])).
% 7.88/5.48 tff(4986,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4987,plain,
% 7.88/5.48 (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101))))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4986, 541])).
% 7.88/5.48 tff(4988,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB101) <=> (v114(constB101) | v125(constB101)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4989,plain,
% 7.88/5.48 (v113(constB101) <=> (v114(constB101) | v125(constB101))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4988, 550])).
% 7.88/5.48 tff(4990,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB101) <=> (v115(constB101) | v124(constB101)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4991,plain,
% 7.88/5.48 (v114(constB101) <=> (v115(constB101) | v124(constB101))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4990, 559])).
% 7.88/5.48 tff(4992,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB101) <=> (v116(constB101) | v123(constB101)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4993,plain,
% 7.88/5.48 (v115(constB101) <=> (v116(constB101) | v123(constB101))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4992, 568])).
% 7.88/5.48 tff(4994,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB101) <=> (v117(constB101) | v122(constB101)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4995,plain,
% 7.88/5.48 (v116(constB101) <=> (v117(constB101) | v122(constB101))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4994, 577])).
% 7.88/5.48 tff(4996,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB101) <=> (v118(constB101) | v121(constB101)))),
% 7.88/5.48 inference(quant_inst,[status(thm)],[])).
% 7.88/5.48 tff(4997,plain,
% 7.88/5.48 (v117(constB101) <=> (v118(constB101) | v121(constB101))),
% 7.88/5.48 inference(unit_resolution,[status(thm)],[4996, 586])).
% 7.88/5.48 tff(4998,plain,
% 7.88/5.48 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0)))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(4999,plain,
% 7.88/5.48 ((v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1))))) <=> (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))))),
% 7.88/5.48 inference(rewrite,[status(thm)],[])).
% 7.88/5.48 tff(5000,plain,
% 7.88/5.48 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0)))))),
% 7.88/5.48 inference(monotonicity,[status(thm)],[4999])).
% 7.88/5.48 tff(5001,plain,
% 7.88/5.48 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0)))))),
% 7.88/5.48 inference(transitivity,[status(thm)],[5000, 4998])).
% 7.88/5.48 tff(5002,plain,
% 7.88/5.48 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5003,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 7.88/5.49 tff(5004,plain,
% 7.88/5.49 (v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0)))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5003, 1133])).
% 7.88/5.49 tff(5005,plain,
% 7.88/5.49 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5006,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100')).
% 7.88/5.49 tff(5007,plain,
% 7.88/5.49 (nextState(constB100, constB101)),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 7.88/5.49 tff(5008,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5009,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5010,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5009, 5008])).
% 7.88/5.49 tff(5011,plain,
% 7.88/5.49 (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5010, 5007, 392])).
% 7.88/5.49 tff(5012,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5013,plain,
% 7.88/5.49 (((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101)))))) <=> ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5014,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))))),
% 7.88/5.49 inference(monotonicity,[status(thm)],[5013])).
% 7.88/5.49 tff(5015,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 7.88/5.49 inference(transitivity,[status(thm)],[5014, 5012])).
% 7.88/5.49 tff(5016,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5017,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 7.88/5.49 tff(5018,plain,
% 7.88/5.49 (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5017, 5007, 412])).
% 7.88/5.49 tff(5019,plain,
% 7.88/5.49 (((~v1(constB101)) | (~v102(constB101))) | v1(constB101)),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5020,plain,
% 7.88/5.49 ((~v1(constB101)) | (~v102(constB101))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5019, 4966])).
% 7.88/5.49 tff(5021,plain,
% 7.88/5.49 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101)) | (~((~v1(constB101)) | (~v102(constB101))))),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5022,plain,
% 7.88/5.49 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5021, 5020])).
% 7.88/5.49 tff(5023,plain,
% 7.88/5.49 (~v101(constB101)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5022, 5018])).
% 7.88/5.49 tff(5024,plain,
% 7.88/5.49 (((~v101(constB101)) | (~v110(constB101))) | v101(constB101)),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5025,plain,
% 7.88/5.49 ((~v101(constB101)) | (~v110(constB101))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5024, 5023])).
% 7.88/5.49 tff(5026,plain,
% 7.88/5.49 ((~(v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))) | (~v100(constB101)) | (~((~v101(constB101)) | (~v110(constB101))))),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5027,plain,
% 7.88/5.49 (~v100(constB101)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5026, 5025, 5011])).
% 7.88/5.49 tff(5028,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5029,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5030,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 7.88/5.49 tff(5031,plain,
% 7.88/5.49 (v100(constB101) | ![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5030, 5007, 441])).
% 7.88/5.49 tff(5032,plain,
% 7.88/5.49 (![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5031, 5027])).
% 7.88/5.49 tff(5033,plain,
% 7.88/5.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5034,plain,
% 7.88/5.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5035,plain,
% 7.88/5.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5034, 5033])).
% 7.88/5.49 tff(5036,plain,
% 7.88/5.49 (v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5035, 648, 5032])).
% 7.88/5.49 tff(5037,plain,
% 7.88/5.49 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5038,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99')).
% 7.88/5.49 tff(5039,plain,
% 7.88/5.49 (nextState(constB99, constB100)),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5038, 5037])).
% 7.88/5.49 tff(5040,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5041,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5042,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 7.88/5.49 tff(5043,plain,
% 7.88/5.49 (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5042, 5039, 392])).
% 7.88/5.49 tff(5044,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5045,plain,
% 7.88/5.49 (((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100)))))) <=> ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5046,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))))),
% 7.88/5.49 inference(monotonicity,[status(thm)],[5045])).
% 7.88/5.49 tff(5047,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 7.88/5.49 inference(transitivity,[status(thm)],[5046, 5044])).
% 7.88/5.49 tff(5048,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5049,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5048, 5047])).
% 7.88/5.49 tff(5050,plain,
% 7.88/5.49 (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5049, 5039, 412])).
% 7.88/5.49 tff(5051,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5052,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5053,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 7.88/5.49 tff(5054,plain,
% 7.88/5.49 ((~v102(constB100)) <=> v104(constB100)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5053, 5039, 474])).
% 7.88/5.49 tff(5055,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5056,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5057,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 7.88/5.49 tff(5058,plain,
% 7.88/5.49 (v104(constB100) <=> v1(constB99)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5057, 5039, 488])).
% 7.88/5.49 tff(5059,plain,
% 7.88/5.49 ((~v1(constB99)) <=> (~v1(constB99))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5060,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99')).
% 7.88/5.49 tff(5061,plain,
% 7.88/5.49 (~v1(constB99)),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5060, 5059])).
% 7.88/5.49 tff(5062,plain,
% 7.88/5.49 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100)) | v1(constB99)),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5063,plain,
% 7.88/5.49 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5062, 5061])).
% 7.88/5.49 tff(5064,plain,
% 7.88/5.49 (~v104(constB100)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5063, 5058])).
% 7.88/5.49 tff(5065,plain,
% 7.88/5.49 ((~((~v102(constB100)) <=> v104(constB100))) | v102(constB100) | v104(constB100)),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5066,plain,
% 7.88/5.49 (v102(constB100)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5065, 5064, 5054])).
% 7.88/5.49 tff(5067,plain,
% 7.88/5.49 (v1(constB100) <=> v1(constB100)),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5068,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100')).
% 7.88/5.49 tff(5069,plain,
% 7.88/5.49 (v1(constB100)),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 7.88/5.49 tff(5070,plain,
% 7.88/5.49 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v1(constB100)) | (~v102(constB100))),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5071,plain,
% 7.88/5.49 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v102(constB100))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5070, 5069])).
% 7.88/5.49 tff(5072,plain,
% 7.88/5.49 (~((~v1(constB100)) | (~v102(constB100)))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5071, 5066])).
% 7.88/5.49 tff(5073,plain,
% 7.88/5.49 ((~(v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))) | v101(constB100) | ((~v1(constB100)) | (~v102(constB100)))),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5074,plain,
% 7.88/5.49 (v101(constB100)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5073, 5072, 5050])).
% 7.88/5.49 tff(5075,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5076,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5077,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 7.88/5.49 tff(5078,plain,
% 7.88/5.49 (v110(constB100) <=> v108(constB99)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5077, 5039, 518])).
% 7.88/5.49 tff(5079,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB99) <=> (v111(constB99) | v112(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5080,plain,
% 7.88/5.49 (v108(constB99) <=> (v111(constB99) | v112(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5079, 529])).
% 7.88/5.49 tff(5081,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5082,plain,
% 7.88/5.49 (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5081, 541])).
% 7.88/5.49 tff(5083,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB99) <=> (v114(constB99) | v125(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5084,plain,
% 7.88/5.49 (v113(constB99) <=> (v114(constB99) | v125(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5083, 550])).
% 7.88/5.49 tff(5085,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB99) <=> (v115(constB99) | v124(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5086,plain,
% 7.88/5.49 (v114(constB99) <=> (v115(constB99) | v124(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5085, 559])).
% 7.88/5.49 tff(5087,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB99) <=> (v116(constB99) | v123(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5088,plain,
% 7.88/5.49 (v115(constB99) <=> (v116(constB99) | v123(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5087, 568])).
% 7.88/5.49 tff(5089,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB99) <=> (v117(constB99) | v122(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5090,plain,
% 7.88/5.49 (v116(constB99) <=> (v117(constB99) | v122(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5089, 577])).
% 7.88/5.49 tff(5091,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB99) <=> (v118(constB99) | v121(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5092,plain,
% 7.88/5.49 (v117(constB99) <=> (v118(constB99) | v121(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5091, 586])).
% 7.88/5.49 tff(5093,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB99) <=> (v119(constB99) | v120(constB99)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5094,plain,
% 7.88/5.49 (v118(constB99) <=> (v119(constB99) | v120(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5093, 595])).
% 7.88/5.49 tff(5095,plain,
% 7.88/5.49 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5096,plain,
% 7.88/5.49 ((v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0))))) <=> (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5097,plain,
% 7.88/5.49 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0))))))),
% 7.88/5.49 inference(monotonicity,[status(thm)],[5096])).
% 7.88/5.49 tff(5098,plain,
% 7.88/5.49 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0))))))),
% 7.88/5.49 inference(transitivity,[status(thm)],[5097, 5095])).
% 7.88/5.49 tff(5099,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5100,plain,
% 7.88/5.49 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 7.88/5.49 tff(5101,plain,
% 7.88/5.49 (v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5100, 610])).
% 7.88/5.49 tff(5102,plain,
% 7.88/5.49 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5103,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98')).
% 7.88/5.49 tff(5104,plain,
% 7.88/5.49 (nextState(constB98, constB99)),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 7.88/5.49 tff(5105,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5106,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5107,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 7.88/5.49 tff(5108,plain,
% 7.88/5.49 (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5107, 5104, 392])).
% 7.88/5.49 tff(5109,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5110,plain,
% 7.88/5.49 (((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99)))))) <=> ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5111,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))))),
% 7.88/5.49 inference(monotonicity,[status(thm)],[5110])).
% 7.88/5.49 tff(5112,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 7.88/5.49 inference(transitivity,[status(thm)],[5111, 5109])).
% 7.88/5.49 tff(5113,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5114,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5113, 5112])).
% 7.88/5.49 tff(5115,plain,
% 7.88/5.49 (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5114, 5104, 412])).
% 7.88/5.49 tff(5116,plain,
% 7.88/5.49 (((~v1(constB99)) | (~v102(constB99))) | v1(constB99)),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5117,plain,
% 7.88/5.49 ((~v1(constB99)) | (~v102(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5116, 5061])).
% 7.88/5.49 tff(5118,plain,
% 7.88/5.49 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99)) | (~((~v1(constB99)) | (~v102(constB99))))),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5119,plain,
% 7.88/5.49 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5118, 5117])).
% 7.88/5.49 tff(5120,plain,
% 7.88/5.49 (~v101(constB99)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5119, 5115])).
% 7.88/5.49 tff(5121,plain,
% 7.88/5.49 (((~v101(constB99)) | (~v110(constB99))) | v101(constB99)),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5122,plain,
% 7.88/5.49 ((~v101(constB99)) | (~v110(constB99))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5121, 5120])).
% 7.88/5.49 tff(5123,plain,
% 7.88/5.49 ((~(v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))) | (~v100(constB99)) | (~((~v101(constB99)) | (~v110(constB99))))),
% 7.88/5.49 inference(tautology,[status(thm)],[])).
% 7.88/5.49 tff(5124,plain,
% 7.88/5.49 (~v100(constB99)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5123, 5122, 5108])).
% 7.88/5.49 tff(5125,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5126,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5127,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5126, 5125])).
% 7.88/5.49 tff(5128,plain,
% 7.88/5.49 (v100(constB99) | ![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5127, 5104, 441])).
% 7.88/5.49 tff(5129,plain,
% 7.88/5.49 (![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5128, 5124])).
% 7.88/5.49 tff(5130,plain,
% 7.88/5.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5131,plain,
% 7.88/5.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5132,plain,
% 7.88/5.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 7.88/5.49 tff(5133,plain,
% 7.88/5.49 (v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2)),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5132, 648, 5129])).
% 7.88/5.49 tff(5134,plain,
% 7.88/5.49 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5135,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97')).
% 7.88/5.49 tff(5136,plain,
% 7.88/5.49 (nextState(constB97, constB98)),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 7.88/5.49 tff(5137,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5138,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5139,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5138, 5137])).
% 7.88/5.49 tff(5140,plain,
% 7.88/5.49 (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5139, 5136, 392])).
% 7.88/5.49 tff(5141,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5142,plain,
% 7.88/5.49 (((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98)))))) <=> ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5143,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))))),
% 7.88/5.49 inference(monotonicity,[status(thm)],[5142])).
% 7.88/5.49 tff(5144,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 7.88/5.49 inference(transitivity,[status(thm)],[5143, 5141])).
% 7.88/5.49 tff(5145,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))),
% 7.88/5.49 inference(quant_inst,[status(thm)],[])).
% 7.88/5.49 tff(5146,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))),
% 7.88/5.49 inference(modus_ponens,[status(thm)],[5145, 5144])).
% 7.88/5.49 tff(5147,plain,
% 7.88/5.49 (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))),
% 7.88/5.49 inference(unit_resolution,[status(thm)],[5146, 5136, 412])).
% 7.88/5.49 tff(5148,plain,
% 7.88/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))),
% 7.88/5.49 inference(rewrite,[status(thm)],[])).
% 7.88/5.49 tff(5149,plain,
% 7.88/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5150,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 7.88/5.50 tff(5151,plain,
% 7.88/5.50 ((~v102(constB98)) <=> v104(constB98)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5150, 5136, 474])).
% 7.88/5.50 tff(5152,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5153,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5154,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5153, 5152])).
% 7.88/5.50 tff(5155,plain,
% 7.88/5.50 (v104(constB98) <=> v1(constB97)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5154, 5136, 488])).
% 7.88/5.50 tff(5156,plain,
% 7.88/5.50 ((~v1(constB97)) <=> (~v1(constB97))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5157,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97')).
% 7.88/5.50 tff(5158,plain,
% 7.88/5.50 (~v1(constB97)),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 7.88/5.50 tff(5159,plain,
% 7.88/5.50 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98)) | v1(constB97)),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5160,plain,
% 7.88/5.50 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5159, 5158])).
% 7.88/5.50 tff(5161,plain,
% 7.88/5.50 (~v104(constB98)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5160, 5155])).
% 7.88/5.50 tff(5162,plain,
% 7.88/5.50 ((~((~v102(constB98)) <=> v104(constB98))) | v102(constB98) | v104(constB98)),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5163,plain,
% 7.88/5.50 (v102(constB98)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5162, 5161, 5151])).
% 7.88/5.50 tff(5164,plain,
% 7.88/5.50 (v1(constB98) <=> v1(constB98)),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5165,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98')).
% 7.88/5.50 tff(5166,plain,
% 7.88/5.50 (v1(constB98)),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 7.88/5.50 tff(5167,plain,
% 7.88/5.50 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v1(constB98)) | (~v102(constB98))),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5168,plain,
% 7.88/5.50 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v102(constB98))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5167, 5166])).
% 7.88/5.50 tff(5169,plain,
% 7.88/5.50 (~((~v1(constB98)) | (~v102(constB98)))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5168, 5163])).
% 7.88/5.50 tff(5170,plain,
% 7.88/5.50 ((~(v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))) | v101(constB98) | ((~v1(constB98)) | (~v102(constB98)))),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5171,plain,
% 7.88/5.50 (v101(constB98)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5170, 5169, 5147])).
% 7.88/5.50 tff(5172,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5173,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5174,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 7.88/5.50 tff(5175,plain,
% 7.88/5.50 (v110(constB98) <=> v108(constB97)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5174, 5136, 518])).
% 7.88/5.50 tff(5176,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB97) <=> (v111(constB97) | v112(constB97)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5177,plain,
% 7.88/5.50 (v108(constB97) <=> (v111(constB97) | v112(constB97))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5176, 529])).
% 7.88/5.50 tff(5178,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5179,plain,
% 7.88/5.50 (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5178, 541])).
% 7.88/5.50 tff(5180,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB97) <=> (v114(constB97) | v125(constB97)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5181,plain,
% 7.88/5.50 (v113(constB97) <=> (v114(constB97) | v125(constB97))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5180, 550])).
% 7.88/5.50 tff(5182,plain,
% 7.88/5.50 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5183,plain,
% 7.88/5.50 ((v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2))))) <=> (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5184,plain,
% 7.88/5.50 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))))),
% 7.88/5.50 inference(monotonicity,[status(thm)],[5183])).
% 7.88/5.50 tff(5185,plain,
% 7.88/5.50 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))))),
% 7.88/5.50 inference(transitivity,[status(thm)],[5184, 5182])).
% 7.88/5.50 tff(5186,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5187,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 7.88/5.50 tff(5188,plain,
% 7.88/5.50 (v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5187, 713])).
% 7.88/5.50 tff(5189,plain,
% 7.88/5.50 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5190,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96')).
% 7.88/5.50 tff(5191,plain,
% 7.88/5.50 (nextState(constB96, constB97)),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 7.88/5.50 tff(5192,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5193,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5194,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5193, 5192])).
% 7.88/5.50 tff(5195,plain,
% 7.88/5.50 (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5194, 5191, 392])).
% 7.88/5.50 tff(5196,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5197,plain,
% 7.88/5.50 (((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97)))))) <=> ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5198,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))))),
% 7.88/5.50 inference(monotonicity,[status(thm)],[5197])).
% 7.88/5.50 tff(5199,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 7.88/5.50 inference(transitivity,[status(thm)],[5198, 5196])).
% 7.88/5.50 tff(5200,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5201,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 7.88/5.50 tff(5202,plain,
% 7.88/5.50 (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5201, 5191, 412])).
% 7.88/5.50 tff(5203,plain,
% 7.88/5.50 (((~v1(constB97)) | (~v102(constB97))) | v1(constB97)),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5204,plain,
% 7.88/5.50 ((~v1(constB97)) | (~v102(constB97))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5203, 5158])).
% 7.88/5.50 tff(5205,plain,
% 7.88/5.50 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97)) | (~((~v1(constB97)) | (~v102(constB97))))),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5206,plain,
% 7.88/5.50 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5205, 5204])).
% 7.88/5.50 tff(5207,plain,
% 7.88/5.50 (~v101(constB97)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5206, 5202])).
% 7.88/5.50 tff(5208,plain,
% 7.88/5.50 (((~v101(constB97)) | (~v110(constB97))) | v101(constB97)),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5209,plain,
% 7.88/5.50 ((~v101(constB97)) | (~v110(constB97))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5208, 5207])).
% 7.88/5.50 tff(5210,plain,
% 7.88/5.50 ((~(v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))) | (~v100(constB97)) | (~((~v101(constB97)) | (~v110(constB97))))),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5211,plain,
% 7.88/5.50 (~v100(constB97)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5210, 5209, 5195])).
% 7.88/5.50 tff(5212,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5213,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5214,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5213, 5212])).
% 7.88/5.50 tff(5215,plain,
% 7.88/5.50 (v100(constB97) | ![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5214, 5191, 441])).
% 7.88/5.50 tff(5216,plain,
% 7.88/5.50 (![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5215, 5211])).
% 7.88/5.50 tff(5217,plain,
% 7.88/5.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5218,plain,
% 7.88/5.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5219,plain,
% 7.88/5.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 7.88/5.50 tff(5220,plain,
% 7.88/5.50 (v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5219, 648, 5216])).
% 7.88/5.50 tff(5221,plain,
% 7.88/5.50 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5222,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95')).
% 7.88/5.50 tff(5223,plain,
% 7.88/5.50 (nextState(constB95, constB96)),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5222, 5221])).
% 7.88/5.50 tff(5224,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5225,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5226,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5225, 5224])).
% 7.88/5.50 tff(5227,plain,
% 7.88/5.50 (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5226, 5223, 392])).
% 7.88/5.50 tff(5228,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5229,plain,
% 7.88/5.50 (((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96)))))) <=> ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5230,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))))),
% 7.88/5.50 inference(monotonicity,[status(thm)],[5229])).
% 7.88/5.50 tff(5231,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 7.88/5.50 inference(transitivity,[status(thm)],[5230, 5228])).
% 7.88/5.50 tff(5232,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5233,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 7.88/5.50 tff(5234,plain,
% 7.88/5.50 (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5233, 5223, 412])).
% 7.88/5.50 tff(5235,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5236,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5237,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 7.88/5.50 tff(5238,plain,
% 7.88/5.50 ((~v102(constB96)) <=> v104(constB96)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5237, 5223, 474])).
% 7.88/5.50 tff(5239,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5240,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5241,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 7.88/5.50 tff(5242,plain,
% 7.88/5.50 (v104(constB96) <=> v1(constB95)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5241, 5223, 488])).
% 7.88/5.50 tff(5243,plain,
% 7.88/5.50 ((~v1(constB95)) <=> (~v1(constB95))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5244,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95')).
% 7.88/5.50 tff(5245,plain,
% 7.88/5.50 (~v1(constB95)),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 7.88/5.50 tff(5246,plain,
% 7.88/5.50 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96)) | v1(constB95)),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5247,plain,
% 7.88/5.50 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5246, 5245])).
% 7.88/5.50 tff(5248,plain,
% 7.88/5.50 (~v104(constB96)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5247, 5242])).
% 7.88/5.50 tff(5249,plain,
% 7.88/5.50 ((~((~v102(constB96)) <=> v104(constB96))) | v102(constB96) | v104(constB96)),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5250,plain,
% 7.88/5.50 (v102(constB96)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5249, 5248, 5238])).
% 7.88/5.50 tff(5251,plain,
% 7.88/5.50 (v1(constB96) <=> v1(constB96)),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5252,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96')).
% 7.88/5.50 tff(5253,plain,
% 7.88/5.50 (v1(constB96)),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 7.88/5.50 tff(5254,plain,
% 7.88/5.50 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v1(constB96)) | (~v102(constB96))),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5255,plain,
% 7.88/5.50 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v102(constB96))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5254, 5253])).
% 7.88/5.50 tff(5256,plain,
% 7.88/5.50 (~((~v1(constB96)) | (~v102(constB96)))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5255, 5250])).
% 7.88/5.50 tff(5257,plain,
% 7.88/5.50 ((~(v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))) | v101(constB96) | ((~v1(constB96)) | (~v102(constB96)))),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5258,plain,
% 7.88/5.50 (v101(constB96)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5257, 5256, 5234])).
% 7.88/5.50 tff(5259,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5260,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5261,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 7.88/5.50 tff(5262,plain,
% 7.88/5.50 (v110(constB96) <=> v108(constB95)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5261, 5223, 518])).
% 7.88/5.50 tff(5263,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB95) <=> (v111(constB95) | v112(constB95)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5264,plain,
% 7.88/5.50 (v108(constB95) <=> (v111(constB95) | v112(constB95))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5263, 529])).
% 7.88/5.50 tff(5265,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5266,plain,
% 7.88/5.50 (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5265, 541])).
% 7.88/5.50 tff(5267,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB95) <=> (v114(constB95) | v125(constB95)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5268,plain,
% 7.88/5.50 (v113(constB95) <=> (v114(constB95) | v125(constB95))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5267, 550])).
% 7.88/5.50 tff(5269,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB95) <=> (v115(constB95) | v124(constB95)))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5270,plain,
% 7.88/5.50 (v114(constB95) <=> (v115(constB95) | v124(constB95))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5269, 559])).
% 7.88/5.50 tff(5271,plain,
% 7.88/5.50 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5272,plain,
% 7.88/5.50 ((v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2))))) <=> (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5273,plain,
% 7.88/5.50 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 7.88/5.50 inference(monotonicity,[status(thm)],[5272])).
% 7.88/5.50 tff(5274,plain,
% 7.88/5.50 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))))),
% 7.88/5.50 inference(transitivity,[status(thm)],[5273, 5271])).
% 7.88/5.50 tff(5275,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5276,plain,
% 7.88/5.50 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 7.88/5.50 tff(5277,plain,
% 7.88/5.50 (v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5276, 815])).
% 7.88/5.50 tff(5278,plain,
% 7.88/5.50 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5279,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94')).
% 7.88/5.50 tff(5280,plain,
% 7.88/5.50 (nextState(constB94, constB95)),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5279, 5278])).
% 7.88/5.50 tff(5281,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5282,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5283,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 7.88/5.50 tff(5284,plain,
% 7.88/5.50 (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5283, 5280, 392])).
% 7.88/5.50 tff(5285,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5286,plain,
% 7.88/5.50 (((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95)))))) <=> ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5287,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))))),
% 7.88/5.50 inference(monotonicity,[status(thm)],[5286])).
% 7.88/5.50 tff(5288,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 7.88/5.50 inference(transitivity,[status(thm)],[5287, 5285])).
% 7.88/5.50 tff(5289,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5290,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5289, 5288])).
% 7.88/5.50 tff(5291,plain,
% 7.88/5.50 (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5290, 5280, 412])).
% 7.88/5.50 tff(5292,plain,
% 7.88/5.50 (((~v1(constB95)) | (~v102(constB95))) | v1(constB95)),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5293,plain,
% 7.88/5.50 ((~v1(constB95)) | (~v102(constB95))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5292, 5245])).
% 7.88/5.50 tff(5294,plain,
% 7.88/5.50 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95)) | (~((~v1(constB95)) | (~v102(constB95))))),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5295,plain,
% 7.88/5.50 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5294, 5293])).
% 7.88/5.50 tff(5296,plain,
% 7.88/5.50 (~v101(constB95)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5295, 5291])).
% 7.88/5.50 tff(5297,plain,
% 7.88/5.50 (((~v101(constB95)) | (~v110(constB95))) | v101(constB95)),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5298,plain,
% 7.88/5.50 ((~v101(constB95)) | (~v110(constB95))),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5297, 5296])).
% 7.88/5.50 tff(5299,plain,
% 7.88/5.50 ((~(v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))) | (~v100(constB95)) | (~((~v101(constB95)) | (~v110(constB95))))),
% 7.88/5.50 inference(tautology,[status(thm)],[])).
% 7.88/5.50 tff(5300,plain,
% 7.88/5.50 (~v100(constB95)),
% 7.88/5.50 inference(unit_resolution,[status(thm)],[5299, 5298, 5284])).
% 7.88/5.50 tff(5301,plain,
% 7.88/5.50 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B))))),
% 7.88/5.50 inference(rewrite,[status(thm)],[])).
% 7.88/5.50 tff(5302,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B))))),
% 7.88/5.50 inference(quant_inst,[status(thm)],[])).
% 7.88/5.50 tff(5303,plain,
% 7.88/5.50 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))),
% 7.88/5.50 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 7.88/5.50 tff(5304,plain,
% 7.88/5.50 (v100(constB95) | ![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5303, 5280, 441])).
% 7.88/5.51 tff(5305,plain,
% 7.88/5.51 (![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5304, 5300])).
% 7.88/5.51 tff(5306,plain,
% 7.88/5.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5307,plain,
% 7.88/5.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5308,plain,
% 7.88/5.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 7.88/5.51 tff(5309,plain,
% 7.88/5.51 (v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5308, 648, 5305])).
% 7.88/5.51 tff(5310,plain,
% 7.88/5.51 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5311,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93')).
% 7.88/5.51 tff(5312,plain,
% 7.88/5.51 (nextState(constB93, constB94)),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 7.88/5.51 tff(5313,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5314,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5315,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5314, 5313])).
% 7.88/5.51 tff(5316,plain,
% 7.88/5.51 (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5315, 5312, 392])).
% 7.88/5.51 tff(5317,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5318,plain,
% 7.88/5.51 (((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94)))))) <=> ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5319,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))))),
% 7.88/5.51 inference(monotonicity,[status(thm)],[5318])).
% 7.88/5.51 tff(5320,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 7.88/5.51 inference(transitivity,[status(thm)],[5319, 5317])).
% 7.88/5.51 tff(5321,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5322,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5321, 5320])).
% 7.88/5.51 tff(5323,plain,
% 7.88/5.51 (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5322, 5312, 412])).
% 7.88/5.51 tff(5324,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5325,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5326,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5325, 5324])).
% 7.88/5.51 tff(5327,plain,
% 7.88/5.51 ((~v102(constB94)) <=> v104(constB94)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5326, 5312, 474])).
% 7.88/5.51 tff(5328,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5329,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5330,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5329, 5328])).
% 7.88/5.51 tff(5331,plain,
% 7.88/5.51 (v104(constB94) <=> v1(constB93)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5330, 5312, 488])).
% 7.88/5.51 tff(5332,plain,
% 7.88/5.51 ((~v1(constB93)) <=> (~v1(constB93))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5333,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93')).
% 7.88/5.51 tff(5334,plain,
% 7.88/5.51 (~v1(constB93)),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5333, 5332])).
% 7.88/5.51 tff(5335,plain,
% 7.88/5.51 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94)) | v1(constB93)),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5336,plain,
% 7.88/5.51 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5335, 5334])).
% 7.88/5.51 tff(5337,plain,
% 7.88/5.51 (~v104(constB94)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5336, 5331])).
% 7.88/5.51 tff(5338,plain,
% 7.88/5.51 ((~((~v102(constB94)) <=> v104(constB94))) | v102(constB94) | v104(constB94)),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5339,plain,
% 7.88/5.51 (v102(constB94)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5338, 5337, 5327])).
% 7.88/5.51 tff(5340,plain,
% 7.88/5.51 (v1(constB94) <=> v1(constB94)),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5341,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94')).
% 7.88/5.51 tff(5342,plain,
% 7.88/5.51 (v1(constB94)),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5341, 5340])).
% 7.88/5.51 tff(5343,plain,
% 7.88/5.51 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v1(constB94)) | (~v102(constB94))),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5344,plain,
% 7.88/5.51 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v102(constB94))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5343, 5342])).
% 7.88/5.51 tff(5345,plain,
% 7.88/5.51 (~((~v1(constB94)) | (~v102(constB94)))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5344, 5339])).
% 7.88/5.51 tff(5346,plain,
% 7.88/5.51 ((~(v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))) | v101(constB94) | ((~v1(constB94)) | (~v102(constB94)))),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5347,plain,
% 7.88/5.51 (v101(constB94)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5346, 5345, 5323])).
% 7.88/5.51 tff(5348,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5349,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5350,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5349, 5348])).
% 7.88/5.51 tff(5351,plain,
% 7.88/5.51 (v110(constB94) <=> v108(constB93)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5350, 5312, 518])).
% 7.88/5.51 tff(5352,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB93) <=> (v111(constB93) | v112(constB93)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5353,plain,
% 7.88/5.51 (v108(constB93) <=> (v111(constB93) | v112(constB93))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5352, 529])).
% 7.88/5.51 tff(5354,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5355,plain,
% 7.88/5.51 (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93))))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5354, 541])).
% 7.88/5.51 tff(5356,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB93) <=> (v114(constB93) | v125(constB93)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5357,plain,
% 7.88/5.51 (v113(constB93) <=> (v114(constB93) | v125(constB93))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5356, 550])).
% 7.88/5.51 tff(5358,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB93) <=> (v115(constB93) | v124(constB93)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5359,plain,
% 7.88/5.51 (v114(constB93) <=> (v115(constB93) | v124(constB93))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5358, 559])).
% 7.88/5.51 tff(5360,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB93) <=> (v116(constB93) | v123(constB93)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5361,plain,
% 7.88/5.51 (v115(constB93) <=> (v116(constB93) | v123(constB93))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5360, 568])).
% 7.88/5.51 tff(5362,plain,
% 7.88/5.51 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5363,plain,
% 7.88/5.51 ((v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2))))) <=> (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5364,plain,
% 7.88/5.51 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))))),
% 7.88/5.51 inference(monotonicity,[status(thm)],[5363])).
% 7.88/5.51 tff(5365,plain,
% 7.88/5.51 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))))),
% 7.88/5.51 inference(transitivity,[status(thm)],[5364, 5362])).
% 7.88/5.51 tff(5366,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5367,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 7.88/5.51 tff(5368,plain,
% 7.88/5.51 (v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5367, 919])).
% 7.88/5.51 tff(5369,plain,
% 7.88/5.51 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5370,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92')).
% 7.88/5.51 tff(5371,plain,
% 7.88/5.51 (nextState(constB92, constB93)),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5370, 5369])).
% 7.88/5.51 tff(5372,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5373,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5374,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5373, 5372])).
% 7.88/5.51 tff(5375,plain,
% 7.88/5.51 (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5374, 5371, 392])).
% 7.88/5.51 tff(5376,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5377,plain,
% 7.88/5.51 (((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93)))))) <=> ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5378,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))))),
% 7.88/5.51 inference(monotonicity,[status(thm)],[5377])).
% 7.88/5.51 tff(5379,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 7.88/5.51 inference(transitivity,[status(thm)],[5378, 5376])).
% 7.88/5.51 tff(5380,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5381,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5380, 5379])).
% 7.88/5.51 tff(5382,plain,
% 7.88/5.51 (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5381, 5371, 412])).
% 7.88/5.51 tff(5383,plain,
% 7.88/5.51 (((~v1(constB93)) | (~v102(constB93))) | v1(constB93)),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5384,plain,
% 7.88/5.51 ((~v1(constB93)) | (~v102(constB93))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5383, 5334])).
% 7.88/5.51 tff(5385,plain,
% 7.88/5.51 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93)) | (~((~v1(constB93)) | (~v102(constB93))))),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5386,plain,
% 7.88/5.51 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5385, 5384])).
% 7.88/5.51 tff(5387,plain,
% 7.88/5.51 (~v101(constB93)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5386, 5382])).
% 7.88/5.51 tff(5388,plain,
% 7.88/5.51 (((~v101(constB93)) | (~v110(constB93))) | v101(constB93)),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5389,plain,
% 7.88/5.51 ((~v101(constB93)) | (~v110(constB93))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5388, 5387])).
% 7.88/5.51 tff(5390,plain,
% 7.88/5.51 ((~(v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))) | (~v100(constB93)) | (~((~v101(constB93)) | (~v110(constB93))))),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5391,plain,
% 7.88/5.51 (~v100(constB93)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5390, 5389, 5375])).
% 7.88/5.51 tff(5392,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5393,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5394,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 7.88/5.51 tff(5395,plain,
% 7.88/5.51 (v100(constB93) | ![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5394, 5371, 441])).
% 7.88/5.51 tff(5396,plain,
% 7.88/5.51 (![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5395, 5391])).
% 7.88/5.51 tff(5397,plain,
% 7.88/5.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5398,plain,
% 7.88/5.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5399,plain,
% 7.88/5.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 7.88/5.51 tff(5400,plain,
% 7.88/5.51 (v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5399, 648, 5396])).
% 7.88/5.51 tff(5401,plain,
% 7.88/5.51 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5402,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91')).
% 7.88/5.51 tff(5403,plain,
% 7.88/5.51 (nextState(constB91, constB92)),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 7.88/5.51 tff(5404,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5405,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5406,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5405, 5404])).
% 7.88/5.51 tff(5407,plain,
% 7.88/5.51 (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5406, 5403, 392])).
% 7.88/5.51 tff(5408,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5409,plain,
% 7.88/5.51 (((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92)))))) <=> ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5410,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))))),
% 7.88/5.51 inference(monotonicity,[status(thm)],[5409])).
% 7.88/5.51 tff(5411,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 7.88/5.51 inference(transitivity,[status(thm)],[5410, 5408])).
% 7.88/5.51 tff(5412,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5413,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5412, 5411])).
% 7.88/5.51 tff(5414,plain,
% 7.88/5.51 (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5413, 5403, 412])).
% 7.88/5.51 tff(5415,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5416,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5417,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5416, 5415])).
% 7.88/5.51 tff(5418,plain,
% 7.88/5.51 ((~v102(constB92)) <=> v104(constB92)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5417, 5403, 474])).
% 7.88/5.51 tff(5419,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5420,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5421,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5420, 5419])).
% 7.88/5.51 tff(5422,plain,
% 7.88/5.51 (v104(constB92) <=> v1(constB91)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5421, 5403, 488])).
% 7.88/5.51 tff(5423,plain,
% 7.88/5.51 ((~v1(constB91)) <=> (~v1(constB91))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5424,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91')).
% 7.88/5.51 tff(5425,plain,
% 7.88/5.51 (~v1(constB91)),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 7.88/5.51 tff(5426,plain,
% 7.88/5.51 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92)) | v1(constB91)),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5427,plain,
% 7.88/5.51 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5426, 5425])).
% 7.88/5.51 tff(5428,plain,
% 7.88/5.51 (~v104(constB92)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5427, 5422])).
% 7.88/5.51 tff(5429,plain,
% 7.88/5.51 ((~((~v102(constB92)) <=> v104(constB92))) | v102(constB92) | v104(constB92)),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5430,plain,
% 7.88/5.51 (v102(constB92)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5429, 5428, 5418])).
% 7.88/5.51 tff(5431,plain,
% 7.88/5.51 (v1(constB92) <=> v1(constB92)),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5432,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92')).
% 7.88/5.51 tff(5433,plain,
% 7.88/5.51 (v1(constB92)),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 7.88/5.51 tff(5434,plain,
% 7.88/5.51 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v1(constB92)) | (~v102(constB92))),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5435,plain,
% 7.88/5.51 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v102(constB92))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5434, 5433])).
% 7.88/5.51 tff(5436,plain,
% 7.88/5.51 (~((~v1(constB92)) | (~v102(constB92)))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5435, 5430])).
% 7.88/5.51 tff(5437,plain,
% 7.88/5.51 ((~(v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))) | v101(constB92) | ((~v1(constB92)) | (~v102(constB92)))),
% 7.88/5.51 inference(tautology,[status(thm)],[])).
% 7.88/5.51 tff(5438,plain,
% 7.88/5.51 (v101(constB92)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5437, 5436, 5414])).
% 7.88/5.51 tff(5439,plain,
% 7.88/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5440,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5441,plain,
% 7.88/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91))),
% 7.88/5.51 inference(modus_ponens,[status(thm)],[5440, 5439])).
% 7.88/5.51 tff(5442,plain,
% 7.88/5.51 (v110(constB92) <=> v108(constB91)),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5441, 5403, 518])).
% 7.88/5.51 tff(5443,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB91) <=> (v111(constB91) | v112(constB91)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5444,plain,
% 7.88/5.51 (v108(constB91) <=> (v111(constB91) | v112(constB91))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5443, 529])).
% 7.88/5.51 tff(5445,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5446,plain,
% 7.88/5.51 (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91))))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5445, 541])).
% 7.88/5.51 tff(5447,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB91) <=> (v114(constB91) | v125(constB91)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5448,plain,
% 7.88/5.51 (v113(constB91) <=> (v114(constB91) | v125(constB91))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5447, 550])).
% 7.88/5.51 tff(5449,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB91) <=> (v115(constB91) | v124(constB91)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5450,plain,
% 7.88/5.51 (v114(constB91) <=> (v115(constB91) | v124(constB91))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5449, 559])).
% 7.88/5.51 tff(5451,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB91) <=> (v116(constB91) | v123(constB91)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5452,plain,
% 7.88/5.51 (v115(constB91) <=> (v116(constB91) | v123(constB91))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5451, 568])).
% 7.88/5.51 tff(5453,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB91) <=> (v117(constB91) | v122(constB91)))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.51 tff(5454,plain,
% 7.88/5.51 (v116(constB91) <=> (v117(constB91) | v122(constB91))),
% 7.88/5.51 inference(unit_resolution,[status(thm)],[5453, 577])).
% 7.88/5.51 tff(5455,plain,
% 7.88/5.51 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5456,plain,
% 7.88/5.51 ((v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1))))) <=> (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 7.88/5.51 inference(rewrite,[status(thm)],[])).
% 7.88/5.51 tff(5457,plain,
% 7.88/5.51 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 7.88/5.51 inference(monotonicity,[status(thm)],[5456])).
% 7.88/5.51 tff(5458,plain,
% 7.88/5.51 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 7.88/5.51 inference(transitivity,[status(thm)],[5457, 5455])).
% 7.88/5.51 tff(5459,plain,
% 7.88/5.51 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))),
% 7.88/5.51 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5460,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5459, 5458])).
% 7.88/5.52 tff(5461,plain,
% 7.88/5.52 (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5460, 1025])).
% 7.88/5.52 tff(5462,plain,
% 7.88/5.52 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5463,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90')).
% 7.88/5.52 tff(5464,plain,
% 7.88/5.52 (nextState(constB90, constB91)),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5463, 5462])).
% 7.88/5.52 tff(5465,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5466,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5467,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 7.88/5.52 tff(5468,plain,
% 7.88/5.52 (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5467, 5464, 392])).
% 7.88/5.52 tff(5469,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5470,plain,
% 7.88/5.52 (((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5471,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))))),
% 7.88/5.52 inference(monotonicity,[status(thm)],[5470])).
% 7.88/5.52 tff(5472,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 7.88/5.52 inference(transitivity,[status(thm)],[5471, 5469])).
% 7.88/5.52 tff(5473,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5474,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 7.88/5.52 tff(5475,plain,
% 7.88/5.52 (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5474, 5464, 412])).
% 7.88/5.52 tff(5476,plain,
% 7.88/5.52 (((~v1(constB91)) | (~v102(constB91))) | v1(constB91)),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5477,plain,
% 7.88/5.52 ((~v1(constB91)) | (~v102(constB91))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5476, 5425])).
% 7.88/5.52 tff(5478,plain,
% 7.88/5.52 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91)) | (~((~v1(constB91)) | (~v102(constB91))))),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5479,plain,
% 7.88/5.52 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5478, 5477])).
% 7.88/5.52 tff(5480,plain,
% 7.88/5.52 (~v101(constB91)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5479, 5475])).
% 7.88/5.52 tff(5481,plain,
% 7.88/5.52 (((~v101(constB91)) | (~v110(constB91))) | v101(constB91)),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5482,plain,
% 7.88/5.52 ((~v101(constB91)) | (~v110(constB91))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5481, 5480])).
% 7.88/5.52 tff(5483,plain,
% 7.88/5.52 ((~(v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))) | (~v100(constB91)) | (~((~v101(constB91)) | (~v110(constB91))))),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5484,plain,
% 7.88/5.52 (~v100(constB91)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5483, 5482, 5468])).
% 7.88/5.52 tff(5485,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5486,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5487,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5486, 5485])).
% 7.88/5.52 tff(5488,plain,
% 7.88/5.52 (v100(constB91) | ![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5487, 5464, 441])).
% 7.88/5.52 tff(5489,plain,
% 7.88/5.52 (![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5488, 5484])).
% 7.88/5.52 tff(5490,plain,
% 7.88/5.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5491,plain,
% 7.88/5.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5492,plain,
% 7.88/5.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 7.88/5.52 tff(5493,plain,
% 7.88/5.52 (v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5492, 648, 5489])).
% 7.88/5.52 tff(5494,plain,
% 7.88/5.52 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5495,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89')).
% 7.88/5.52 tff(5496,plain,
% 7.88/5.52 (nextState(constB89, constB90)),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5495, 5494])).
% 7.88/5.52 tff(5497,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5498,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5499,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 7.88/5.52 tff(5500,plain,
% 7.88/5.52 (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5499, 5496, 392])).
% 7.88/5.52 tff(5501,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5502,plain,
% 7.88/5.52 (((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5503,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))))),
% 7.88/5.52 inference(monotonicity,[status(thm)],[5502])).
% 7.88/5.52 tff(5504,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 7.88/5.52 inference(transitivity,[status(thm)],[5503, 5501])).
% 7.88/5.52 tff(5505,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5506,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5505, 5504])).
% 7.88/5.52 tff(5507,plain,
% 7.88/5.52 (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5506, 5496, 412])).
% 7.88/5.52 tff(5508,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5509,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5510,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5509, 5508])).
% 7.88/5.52 tff(5511,plain,
% 7.88/5.52 ((~v102(constB90)) <=> v104(constB90)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5510, 5496, 474])).
% 7.88/5.52 tff(5512,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5513,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5514,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5513, 5512])).
% 7.88/5.52 tff(5515,plain,
% 7.88/5.52 (v104(constB90) <=> v1(constB89)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5514, 5496, 488])).
% 7.88/5.52 tff(5516,plain,
% 7.88/5.52 ((~v1(constB89)) <=> (~v1(constB89))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5517,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89')).
% 7.88/5.52 tff(5518,plain,
% 7.88/5.52 (~v1(constB89)),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5517, 5516])).
% 7.88/5.52 tff(5519,plain,
% 7.88/5.52 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90)) | v1(constB89)),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5520,plain,
% 7.88/5.52 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5519, 5518])).
% 7.88/5.52 tff(5521,plain,
% 7.88/5.52 (~v104(constB90)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5520, 5515])).
% 7.88/5.52 tff(5522,plain,
% 7.88/5.52 ((~((~v102(constB90)) <=> v104(constB90))) | v102(constB90) | v104(constB90)),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5523,plain,
% 7.88/5.52 (v102(constB90)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5522, 5521, 5511])).
% 7.88/5.52 tff(5524,plain,
% 7.88/5.52 (v1(constB90) <=> v1(constB90)),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5525,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90')).
% 7.88/5.52 tff(5526,plain,
% 7.88/5.52 (v1(constB90)),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 7.88/5.52 tff(5527,plain,
% 7.88/5.52 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v1(constB90)) | (~v102(constB90))),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5528,plain,
% 7.88/5.52 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v102(constB90))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5527, 5526])).
% 7.88/5.52 tff(5529,plain,
% 7.88/5.52 (~((~v1(constB90)) | (~v102(constB90)))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5528, 5523])).
% 7.88/5.52 tff(5530,plain,
% 7.88/5.52 ((~(v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))) | v101(constB90) | ((~v1(constB90)) | (~v102(constB90)))),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5531,plain,
% 7.88/5.52 (v101(constB90)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5530, 5529, 5507])).
% 7.88/5.52 tff(5532,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5533,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5534,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5533, 5532])).
% 7.88/5.52 tff(5535,plain,
% 7.88/5.52 (v110(constB90) <=> v108(constB89)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5534, 5496, 518])).
% 7.88/5.52 tff(5536,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB89) <=> (v111(constB89) | v112(constB89)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5537,plain,
% 7.88/5.52 (v108(constB89) <=> (v111(constB89) | v112(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5536, 529])).
% 7.88/5.52 tff(5538,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5539,plain,
% 7.88/5.52 (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5538, 541])).
% 7.88/5.52 tff(5540,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB89) <=> (v114(constB89) | v125(constB89)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5541,plain,
% 7.88/5.52 (v113(constB89) <=> (v114(constB89) | v125(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5540, 550])).
% 7.88/5.52 tff(5542,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB89) <=> (v115(constB89) | v124(constB89)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5543,plain,
% 7.88/5.52 (v114(constB89) <=> (v115(constB89) | v124(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5542, 559])).
% 7.88/5.52 tff(5544,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB89) <=> (v116(constB89) | v123(constB89)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5545,plain,
% 7.88/5.52 (v115(constB89) <=> (v116(constB89) | v123(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5544, 568])).
% 7.88/5.52 tff(5546,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB89) <=> (v117(constB89) | v122(constB89)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5547,plain,
% 7.88/5.52 (v116(constB89) <=> (v117(constB89) | v122(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5546, 577])).
% 7.88/5.52 tff(5548,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB89) <=> (v118(constB89) | v121(constB89)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5549,plain,
% 7.88/5.52 (v117(constB89) <=> (v118(constB89) | v121(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5548, 586])).
% 7.88/5.52 tff(5550,plain,
% 7.88/5.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5551,plain,
% 7.88/5.52 ((v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1))))) <=> (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5552,plain,
% 7.88/5.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))))),
% 7.88/5.52 inference(monotonicity,[status(thm)],[5551])).
% 7.88/5.52 tff(5553,plain,
% 7.88/5.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))))),
% 7.88/5.52 inference(transitivity,[status(thm)],[5552, 5550])).
% 7.88/5.52 tff(5554,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5555,plain,
% 7.88/5.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 7.88/5.52 tff(5556,plain,
% 7.88/5.52 (v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5555, 1133])).
% 7.88/5.52 tff(5557,plain,
% 7.88/5.52 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5558,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88')).
% 7.88/5.52 tff(5559,plain,
% 7.88/5.52 (nextState(constB88, constB89)),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 7.88/5.52 tff(5560,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5561,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5562,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 7.88/5.52 tff(5563,plain,
% 7.88/5.52 (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5562, 5559, 392])).
% 7.88/5.52 tff(5564,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5565,plain,
% 7.88/5.52 (((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5566,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))))),
% 7.88/5.52 inference(monotonicity,[status(thm)],[5565])).
% 7.88/5.52 tff(5567,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 7.88/5.52 inference(transitivity,[status(thm)],[5566, 5564])).
% 7.88/5.52 tff(5568,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5569,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 7.88/5.52 tff(5570,plain,
% 7.88/5.52 (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5569, 5559, 412])).
% 7.88/5.52 tff(5571,plain,
% 7.88/5.52 (((~v1(constB89)) | (~v102(constB89))) | v1(constB89)),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5572,plain,
% 7.88/5.52 ((~v1(constB89)) | (~v102(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5571, 5518])).
% 7.88/5.52 tff(5573,plain,
% 7.88/5.52 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89)) | (~((~v1(constB89)) | (~v102(constB89))))),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5574,plain,
% 7.88/5.52 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5573, 5572])).
% 7.88/5.52 tff(5575,plain,
% 7.88/5.52 (~v101(constB89)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5574, 5570])).
% 7.88/5.52 tff(5576,plain,
% 7.88/5.52 (((~v101(constB89)) | (~v110(constB89))) | v101(constB89)),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5577,plain,
% 7.88/5.52 ((~v101(constB89)) | (~v110(constB89))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5576, 5575])).
% 7.88/5.52 tff(5578,plain,
% 7.88/5.52 ((~(v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))) | (~v100(constB89)) | (~((~v101(constB89)) | (~v110(constB89))))),
% 7.88/5.52 inference(tautology,[status(thm)],[])).
% 7.88/5.52 tff(5579,plain,
% 7.88/5.52 (~v100(constB89)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5578, 5577, 5563])).
% 7.88/5.52 tff(5580,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5581,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5582,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 7.88/5.52 tff(5583,plain,
% 7.88/5.52 (v100(constB89) | ![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5582, 5559, 441])).
% 7.88/5.52 tff(5584,plain,
% 7.88/5.52 (![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5583, 5579])).
% 7.88/5.52 tff(5585,plain,
% 7.88/5.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5586,plain,
% 7.88/5.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5587,plain,
% 7.88/5.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5586, 5585])).
% 7.88/5.52 tff(5588,plain,
% 7.88/5.52 (v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5587, 648, 5584])).
% 7.88/5.52 tff(5589,plain,
% 7.88/5.52 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5590,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87')).
% 7.88/5.52 tff(5591,plain,
% 7.88/5.52 (nextState(constB87, constB88)),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 7.88/5.52 tff(5592,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5593,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5594,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5593, 5592])).
% 7.88/5.52 tff(5595,plain,
% 7.88/5.52 (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5594, 5591, 392])).
% 7.88/5.52 tff(5596,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5597,plain,
% 7.88/5.52 (((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5598,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))))),
% 7.88/5.52 inference(monotonicity,[status(thm)],[5597])).
% 7.88/5.52 tff(5599,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 7.88/5.52 inference(transitivity,[status(thm)],[5598, 5596])).
% 7.88/5.52 tff(5600,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5601,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5600, 5599])).
% 7.88/5.52 tff(5602,plain,
% 7.88/5.52 (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5601, 5591, 412])).
% 7.88/5.52 tff(5603,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))),
% 7.88/5.52 inference(rewrite,[status(thm)],[])).
% 7.88/5.52 tff(5604,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))),
% 7.88/5.52 inference(quant_inst,[status(thm)],[])).
% 7.88/5.52 tff(5605,plain,
% 7.88/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88))),
% 7.88/5.52 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 7.88/5.52 tff(5606,plain,
% 7.88/5.52 ((~v102(constB88)) <=> v104(constB88)),
% 7.88/5.52 inference(unit_resolution,[status(thm)],[5605, 5591, 474])).
% 7.88/5.52 tff(5607,plain,
% 7.88/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5608,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5609,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 7.88/5.53 tff(5610,plain,
% 7.88/5.53 (v104(constB88) <=> v1(constB87)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5609, 5591, 488])).
% 7.88/5.53 tff(5611,plain,
% 7.88/5.53 ((~v1(constB87)) <=> (~v1(constB87))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5612,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87')).
% 7.88/5.53 tff(5613,plain,
% 7.88/5.53 (~v1(constB87)),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5612, 5611])).
% 7.88/5.53 tff(5614,plain,
% 7.88/5.53 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88)) | v1(constB87)),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5615,plain,
% 7.88/5.53 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5614, 5613])).
% 7.88/5.53 tff(5616,plain,
% 7.88/5.53 (~v104(constB88)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5615, 5610])).
% 7.88/5.53 tff(5617,plain,
% 7.88/5.53 ((~((~v102(constB88)) <=> v104(constB88))) | v102(constB88) | v104(constB88)),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5618,plain,
% 7.88/5.53 (v102(constB88)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5617, 5616, 5606])).
% 7.88/5.53 tff(5619,plain,
% 7.88/5.53 (v1(constB88) <=> v1(constB88)),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5620,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88')).
% 7.88/5.53 tff(5621,plain,
% 7.88/5.53 (v1(constB88)),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 7.88/5.53 tff(5622,plain,
% 7.88/5.53 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v1(constB88)) | (~v102(constB88))),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5623,plain,
% 7.88/5.53 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v102(constB88))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5622, 5621])).
% 7.88/5.53 tff(5624,plain,
% 7.88/5.53 (~((~v1(constB88)) | (~v102(constB88)))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5623, 5618])).
% 7.88/5.53 tff(5625,plain,
% 7.88/5.53 ((~(v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))) | v101(constB88) | ((~v1(constB88)) | (~v102(constB88)))),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5626,plain,
% 7.88/5.53 (v101(constB88)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5625, 5624, 5602])).
% 7.88/5.53 tff(5627,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5628,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5629,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 7.88/5.53 tff(5630,plain,
% 7.88/5.53 (v110(constB88) <=> v108(constB87)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5629, 5591, 518])).
% 7.88/5.53 tff(5631,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB87) <=> (v111(constB87) | v112(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5632,plain,
% 7.88/5.53 (v108(constB87) <=> (v111(constB87) | v112(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5631, 529])).
% 7.88/5.53 tff(5633,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5634,plain,
% 7.88/5.53 (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5633, 541])).
% 7.88/5.53 tff(5635,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB87) <=> (v114(constB87) | v125(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5636,plain,
% 7.88/5.53 (v113(constB87) <=> (v114(constB87) | v125(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5635, 550])).
% 7.88/5.53 tff(5637,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB87) <=> (v115(constB87) | v124(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5638,plain,
% 7.88/5.53 (v114(constB87) <=> (v115(constB87) | v124(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5637, 559])).
% 7.88/5.53 tff(5639,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB87) <=> (v116(constB87) | v123(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5640,plain,
% 7.88/5.53 (v115(constB87) <=> (v116(constB87) | v123(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5639, 568])).
% 7.88/5.53 tff(5641,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB87) <=> (v117(constB87) | v122(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5642,plain,
% 7.88/5.53 (v116(constB87) <=> (v117(constB87) | v122(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5641, 577])).
% 7.88/5.53 tff(5643,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB87) <=> (v118(constB87) | v121(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5644,plain,
% 7.88/5.53 (v117(constB87) <=> (v118(constB87) | v121(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5643, 586])).
% 7.88/5.53 tff(5645,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB87) <=> (v119(constB87) | v120(constB87)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5646,plain,
% 7.88/5.53 (v118(constB87) <=> (v119(constB87) | v120(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5645, 595])).
% 7.88/5.53 tff(5647,plain,
% 7.88/5.53 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5648,plain,
% 7.88/5.53 ((v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0))))) <=> (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5649,plain,
% 7.88/5.53 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))))),
% 7.88/5.53 inference(monotonicity,[status(thm)],[5648])).
% 7.88/5.53 tff(5650,plain,
% 7.88/5.53 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))))),
% 7.88/5.53 inference(transitivity,[status(thm)],[5649, 5647])).
% 7.88/5.53 tff(5651,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5652,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5651, 5650])).
% 7.88/5.53 tff(5653,plain,
% 7.88/5.53 (v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5652, 610])).
% 7.88/5.53 tff(5654,plain,
% 7.88/5.53 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5655,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86')).
% 7.88/5.53 tff(5656,plain,
% 7.88/5.53 (nextState(constB86, constB87)),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 7.88/5.53 tff(5657,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5658,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5659,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 7.88/5.53 tff(5660,plain,
% 7.88/5.53 (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5659, 5656, 392])).
% 7.88/5.53 tff(5661,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5662,plain,
% 7.88/5.53 (((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87)))))) <=> ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5663,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))))),
% 7.88/5.53 inference(monotonicity,[status(thm)],[5662])).
% 7.88/5.53 tff(5664,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 7.88/5.53 inference(transitivity,[status(thm)],[5663, 5661])).
% 7.88/5.53 tff(5665,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5666,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 7.88/5.53 tff(5667,plain,
% 7.88/5.53 (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5666, 5656, 412])).
% 7.88/5.53 tff(5668,plain,
% 7.88/5.53 (((~v1(constB87)) | (~v102(constB87))) | v1(constB87)),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5669,plain,
% 7.88/5.53 ((~v1(constB87)) | (~v102(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5668, 5613])).
% 7.88/5.53 tff(5670,plain,
% 7.88/5.53 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87)) | (~((~v1(constB87)) | (~v102(constB87))))),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5671,plain,
% 7.88/5.53 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5670, 5669])).
% 7.88/5.53 tff(5672,plain,
% 7.88/5.53 (~v101(constB87)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5671, 5667])).
% 7.88/5.53 tff(5673,plain,
% 7.88/5.53 (((~v101(constB87)) | (~v110(constB87))) | v101(constB87)),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5674,plain,
% 7.88/5.53 ((~v101(constB87)) | (~v110(constB87))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5673, 5672])).
% 7.88/5.53 tff(5675,plain,
% 7.88/5.53 ((~(v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))) | (~v100(constB87)) | (~((~v101(constB87)) | (~v110(constB87))))),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5676,plain,
% 7.88/5.53 (~v100(constB87)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5675, 5674, 5660])).
% 7.88/5.53 tff(5677,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5678,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5679,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 7.88/5.53 tff(5680,plain,
% 7.88/5.53 (v100(constB87) | ![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5679, 5656, 441])).
% 7.88/5.53 tff(5681,plain,
% 7.88/5.53 (![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5680, 5676])).
% 7.88/5.53 tff(5682,plain,
% 7.88/5.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5683,plain,
% 7.88/5.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5684,plain,
% 7.88/5.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5683, 5682])).
% 7.88/5.53 tff(5685,plain,
% 7.88/5.53 (v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5684, 648, 5681])).
% 7.88/5.53 tff(5686,plain,
% 7.88/5.53 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5687,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85')).
% 7.88/5.53 tff(5688,plain,
% 7.88/5.53 (nextState(constB85, constB86)),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5687, 5686])).
% 7.88/5.53 tff(5689,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5690,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5691,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5690, 5689])).
% 7.88/5.53 tff(5692,plain,
% 7.88/5.53 (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5691, 5688, 392])).
% 7.88/5.53 tff(5693,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5694,plain,
% 7.88/5.53 (((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86)))))) <=> ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5695,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))))),
% 7.88/5.53 inference(monotonicity,[status(thm)],[5694])).
% 7.88/5.53 tff(5696,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 7.88/5.53 inference(transitivity,[status(thm)],[5695, 5693])).
% 7.88/5.53 tff(5697,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5698,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5697, 5696])).
% 7.88/5.53 tff(5699,plain,
% 7.88/5.53 (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5698, 5688, 412])).
% 7.88/5.53 tff(5700,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5701,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5702,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5701, 5700])).
% 7.88/5.53 tff(5703,plain,
% 7.88/5.53 ((~v102(constB86)) <=> v104(constB86)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5702, 5688, 474])).
% 7.88/5.53 tff(5704,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5705,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5706,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5705, 5704])).
% 7.88/5.53 tff(5707,plain,
% 7.88/5.53 (v104(constB86) <=> v1(constB85)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5706, 5688, 488])).
% 7.88/5.53 tff(5708,plain,
% 7.88/5.53 ((~v1(constB85)) <=> (~v1(constB85))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5709,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85')).
% 7.88/5.53 tff(5710,plain,
% 7.88/5.53 (~v1(constB85)),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5709, 5708])).
% 7.88/5.53 tff(5711,plain,
% 7.88/5.53 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86)) | v1(constB85)),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5712,plain,
% 7.88/5.53 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5711, 5710])).
% 7.88/5.53 tff(5713,plain,
% 7.88/5.53 (~v104(constB86)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5712, 5707])).
% 7.88/5.53 tff(5714,plain,
% 7.88/5.53 ((~((~v102(constB86)) <=> v104(constB86))) | v102(constB86) | v104(constB86)),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5715,plain,
% 7.88/5.53 (v102(constB86)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5714, 5713, 5703])).
% 7.88/5.53 tff(5716,plain,
% 7.88/5.53 (v1(constB86) <=> v1(constB86)),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5717,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86')).
% 7.88/5.53 tff(5718,plain,
% 7.88/5.53 (v1(constB86)),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5717, 5716])).
% 7.88/5.53 tff(5719,plain,
% 7.88/5.53 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v1(constB86)) | (~v102(constB86))),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5720,plain,
% 7.88/5.53 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v102(constB86))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5719, 5718])).
% 7.88/5.53 tff(5721,plain,
% 7.88/5.53 (~((~v1(constB86)) | (~v102(constB86)))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5720, 5715])).
% 7.88/5.53 tff(5722,plain,
% 7.88/5.53 ((~(v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))) | v101(constB86) | ((~v1(constB86)) | (~v102(constB86)))),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5723,plain,
% 7.88/5.53 (v101(constB86)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5722, 5721, 5699])).
% 7.88/5.53 tff(5724,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5725,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5726,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5725, 5724])).
% 7.88/5.53 tff(5727,plain,
% 7.88/5.53 (v110(constB86) <=> v108(constB85)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5726, 5688, 518])).
% 7.88/5.53 tff(5728,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB85) <=> (v111(constB85) | v112(constB85)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5729,plain,
% 7.88/5.53 (v108(constB85) <=> (v111(constB85) | v112(constB85))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5728, 529])).
% 7.88/5.53 tff(5730,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5731,plain,
% 7.88/5.53 (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5730, 541])).
% 7.88/5.53 tff(5732,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB85) <=> (v114(constB85) | v125(constB85)))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5733,plain,
% 7.88/5.53 (v113(constB85) <=> (v114(constB85) | v125(constB85))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5732, 550])).
% 7.88/5.53 tff(5734,plain,
% 7.88/5.53 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5735,plain,
% 7.88/5.53 ((v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2))))) <=> (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5736,plain,
% 7.88/5.53 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 7.88/5.53 inference(monotonicity,[status(thm)],[5735])).
% 7.88/5.53 tff(5737,plain,
% 7.88/5.53 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 7.88/5.53 inference(transitivity,[status(thm)],[5736, 5734])).
% 7.88/5.53 tff(5738,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5739,plain,
% 7.88/5.53 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 7.88/5.53 tff(5740,plain,
% 7.88/5.53 (v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5739, 713])).
% 7.88/5.53 tff(5741,plain,
% 7.88/5.53 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5742,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84')).
% 7.88/5.53 tff(5743,plain,
% 7.88/5.53 (nextState(constB84, constB85)),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5742, 5741])).
% 7.88/5.53 tff(5744,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5745,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5746,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5745, 5744])).
% 7.88/5.53 tff(5747,plain,
% 7.88/5.53 (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5746, 5743, 392])).
% 7.88/5.53 tff(5748,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5749,plain,
% 7.88/5.53 (((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85)))))) <=> ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5750,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))))),
% 7.88/5.53 inference(monotonicity,[status(thm)],[5749])).
% 7.88/5.53 tff(5751,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 7.88/5.53 inference(transitivity,[status(thm)],[5750, 5748])).
% 7.88/5.53 tff(5752,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))),
% 7.88/5.53 inference(quant_inst,[status(thm)],[])).
% 7.88/5.53 tff(5753,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))),
% 7.88/5.53 inference(modus_ponens,[status(thm)],[5752, 5751])).
% 7.88/5.53 tff(5754,plain,
% 7.88/5.53 (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5753, 5743, 412])).
% 7.88/5.53 tff(5755,plain,
% 7.88/5.53 (((~v1(constB85)) | (~v102(constB85))) | v1(constB85)),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5756,plain,
% 7.88/5.53 ((~v1(constB85)) | (~v102(constB85))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5755, 5710])).
% 7.88/5.53 tff(5757,plain,
% 7.88/5.53 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85)) | (~((~v1(constB85)) | (~v102(constB85))))),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5758,plain,
% 7.88/5.53 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5757, 5756])).
% 7.88/5.53 tff(5759,plain,
% 7.88/5.53 (~v101(constB85)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5758, 5754])).
% 7.88/5.53 tff(5760,plain,
% 7.88/5.53 (((~v101(constB85)) | (~v110(constB85))) | v101(constB85)),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5761,plain,
% 7.88/5.53 ((~v101(constB85)) | (~v110(constB85))),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5760, 5759])).
% 7.88/5.53 tff(5762,plain,
% 7.88/5.53 ((~(v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))) | (~v100(constB85)) | (~((~v101(constB85)) | (~v110(constB85))))),
% 7.88/5.53 inference(tautology,[status(thm)],[])).
% 7.88/5.53 tff(5763,plain,
% 7.88/5.53 (~v100(constB85)),
% 7.88/5.53 inference(unit_resolution,[status(thm)],[5762, 5761, 5747])).
% 7.88/5.53 tff(5764,plain,
% 7.88/5.53 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B))))),
% 7.88/5.53 inference(rewrite,[status(thm)],[])).
% 7.88/5.53 tff(5765,plain,
% 7.88/5.53 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B))))),
% 7.88/5.54 inference(quant_inst,[status(thm)],[])).
% 7.88/5.54 tff(5766,plain,
% 7.88/5.54 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))),
% 7.88/5.54 inference(modus_ponens,[status(thm)],[5765, 5764])).
% 7.88/5.54 tff(5767,plain,
% 7.88/5.54 (v100(constB85) | ![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))),
% 7.88/5.54 inference(unit_resolution,[status(thm)],[5766, 5743, 441])).
% 7.88/5.54 tff(5768,plain,
% 7.88/5.54 (![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))),
% 7.88/5.54 inference(unit_resolution,[status(thm)],[5767, 5763])).
% 7.88/5.54 tff(5769,plain,
% 7.88/5.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5770,plain,
% 7.96/5.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5771,plain,
% 7.96/5.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5770, 5769])).
% 7.96/5.54 tff(5772,plain,
% 7.96/5.54 (v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5771, 648, 5768])).
% 7.96/5.54 tff(5773,plain,
% 7.96/5.54 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5774,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83')).
% 7.96/5.54 tff(5775,plain,
% 7.96/5.54 (nextState(constB83, constB84)),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 7.96/5.54 tff(5776,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5777,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5778,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5777, 5776])).
% 7.96/5.54 tff(5779,plain,
% 7.96/5.54 (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5778, 5775, 392])).
% 7.96/5.54 tff(5780,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5781,plain,
% 7.96/5.54 (((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5782,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))))),
% 7.96/5.54 inference(monotonicity,[status(thm)],[5781])).
% 7.96/5.54 tff(5783,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 7.96/5.54 inference(transitivity,[status(thm)],[5782, 5780])).
% 7.96/5.54 tff(5784,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5785,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 7.96/5.54 tff(5786,plain,
% 7.96/5.54 (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5785, 5775, 412])).
% 7.96/5.54 tff(5787,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5788,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5789,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5788, 5787])).
% 7.96/5.54 tff(5790,plain,
% 7.96/5.54 ((~v102(constB84)) <=> v104(constB84)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5789, 5775, 474])).
% 7.96/5.54 tff(5791,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5792,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5793,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 7.96/5.54 tff(5794,plain,
% 7.96/5.54 (v104(constB84) <=> v1(constB83)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5793, 5775, 488])).
% 7.96/5.54 tff(5795,plain,
% 7.96/5.54 ((~v1(constB83)) <=> (~v1(constB83))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5796,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83')).
% 7.96/5.54 tff(5797,plain,
% 7.96/5.54 (~v1(constB83)),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5796, 5795])).
% 7.96/5.54 tff(5798,plain,
% 7.96/5.54 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84)) | v1(constB83)),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5799,plain,
% 7.96/5.54 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5798, 5797])).
% 7.96/5.54 tff(5800,plain,
% 7.96/5.54 (~v104(constB84)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5799, 5794])).
% 7.96/5.54 tff(5801,plain,
% 7.96/5.54 ((~((~v102(constB84)) <=> v104(constB84))) | v102(constB84) | v104(constB84)),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5802,plain,
% 7.96/5.54 (v102(constB84)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5801, 5800, 5790])).
% 7.96/5.54 tff(5803,plain,
% 7.96/5.54 (v1(constB84) <=> v1(constB84)),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5804,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84')).
% 7.96/5.54 tff(5805,plain,
% 7.96/5.54 (v1(constB84)),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5804, 5803])).
% 7.96/5.54 tff(5806,plain,
% 7.96/5.54 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v1(constB84)) | (~v102(constB84))),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5807,plain,
% 7.96/5.54 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v102(constB84))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5806, 5805])).
% 7.96/5.54 tff(5808,plain,
% 7.96/5.54 (~((~v1(constB84)) | (~v102(constB84)))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5807, 5802])).
% 7.96/5.54 tff(5809,plain,
% 7.96/5.54 ((~(v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))) | v101(constB84) | ((~v1(constB84)) | (~v102(constB84)))),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5810,plain,
% 7.96/5.54 (v101(constB84)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5809, 5808, 5786])).
% 7.96/5.54 tff(5811,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5812,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5813,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 7.96/5.54 tff(5814,plain,
% 7.96/5.54 (v110(constB84) <=> v108(constB83)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5813, 5775, 518])).
% 7.96/5.54 tff(5815,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB83) <=> (v111(constB83) | v112(constB83)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5816,plain,
% 7.96/5.54 (v108(constB83) <=> (v111(constB83) | v112(constB83))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5815, 529])).
% 7.96/5.54 tff(5817,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5818,plain,
% 7.96/5.54 (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5817, 541])).
% 7.96/5.54 tff(5819,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB83) <=> (v114(constB83) | v125(constB83)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5820,plain,
% 7.96/5.54 (v113(constB83) <=> (v114(constB83) | v125(constB83))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5819, 550])).
% 7.96/5.54 tff(5821,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB83) <=> (v115(constB83) | v124(constB83)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5822,plain,
% 7.96/5.54 (v114(constB83) <=> (v115(constB83) | v124(constB83))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5821, 559])).
% 7.96/5.54 tff(5823,plain,
% 7.96/5.54 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5824,plain,
% 7.96/5.54 ((v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2))))) <=> (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5825,plain,
% 7.96/5.54 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0))))))),
% 7.96/5.54 inference(monotonicity,[status(thm)],[5824])).
% 7.96/5.54 tff(5826,plain,
% 7.96/5.54 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0))))))),
% 7.96/5.54 inference(transitivity,[status(thm)],[5825, 5823])).
% 7.96/5.54 tff(5827,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2)))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5828,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5827, 5826])).
% 7.96/5.54 tff(5829,plain,
% 7.96/5.54 (v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5828, 815])).
% 7.96/5.54 tff(5830,plain,
% 7.96/5.54 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5831,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82')).
% 7.96/5.54 tff(5832,plain,
% 7.96/5.54 (nextState(constB82, constB83)),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5831, 5830])).
% 7.96/5.54 tff(5833,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5834,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5835,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5834, 5833])).
% 7.96/5.54 tff(5836,plain,
% 7.96/5.54 (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5835, 5832, 392])).
% 7.96/5.54 tff(5837,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5838,plain,
% 7.96/5.54 (((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5839,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))))),
% 7.96/5.54 inference(monotonicity,[status(thm)],[5838])).
% 7.96/5.54 tff(5840,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 7.96/5.54 inference(transitivity,[status(thm)],[5839, 5837])).
% 7.96/5.54 tff(5841,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5842,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 7.96/5.54 tff(5843,plain,
% 7.96/5.54 (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5842, 5832, 412])).
% 7.96/5.54 tff(5844,plain,
% 7.96/5.54 (((~v1(constB83)) | (~v102(constB83))) | v1(constB83)),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5845,plain,
% 7.96/5.54 ((~v1(constB83)) | (~v102(constB83))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5844, 5797])).
% 7.96/5.54 tff(5846,plain,
% 7.96/5.54 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83)) | (~((~v1(constB83)) | (~v102(constB83))))),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5847,plain,
% 7.96/5.54 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5846, 5845])).
% 7.96/5.54 tff(5848,plain,
% 7.96/5.54 (~v101(constB83)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5847, 5843])).
% 7.96/5.54 tff(5849,plain,
% 7.96/5.54 (((~v101(constB83)) | (~v110(constB83))) | v101(constB83)),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5850,plain,
% 7.96/5.54 ((~v101(constB83)) | (~v110(constB83))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5849, 5848])).
% 7.96/5.54 tff(5851,plain,
% 7.96/5.54 ((~(v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))) | (~v100(constB83)) | (~((~v101(constB83)) | (~v110(constB83))))),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5852,plain,
% 7.96/5.54 (~v100(constB83)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5851, 5850, 5836])).
% 7.96/5.54 tff(5853,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5854,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5855,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 7.96/5.54 tff(5856,plain,
% 7.96/5.54 (v100(constB83) | ![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5855, 5832, 441])).
% 7.96/5.54 tff(5857,plain,
% 7.96/5.54 (![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5856, 5852])).
% 7.96/5.54 tff(5858,plain,
% 7.96/5.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5859,plain,
% 7.96/5.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5860,plain,
% 7.96/5.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 7.96/5.54 tff(5861,plain,
% 7.96/5.54 (v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5860, 648, 5857])).
% 7.96/5.54 tff(5862,plain,
% 7.96/5.54 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5863,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81')).
% 7.96/5.54 tff(5864,plain,
% 7.96/5.54 (nextState(constB81, constB82)),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 7.96/5.54 tff(5865,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5866,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5867,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5866, 5865])).
% 7.96/5.54 tff(5868,plain,
% 7.96/5.54 (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5867, 5864, 392])).
% 7.96/5.54 tff(5869,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5870,plain,
% 7.96/5.54 (((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5871,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))))),
% 7.96/5.54 inference(monotonicity,[status(thm)],[5870])).
% 7.96/5.54 tff(5872,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 7.96/5.54 inference(transitivity,[status(thm)],[5871, 5869])).
% 7.96/5.54 tff(5873,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5874,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5873, 5872])).
% 7.96/5.54 tff(5875,plain,
% 7.96/5.54 (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5874, 5864, 412])).
% 7.96/5.54 tff(5876,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5877,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5878,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5877, 5876])).
% 7.96/5.54 tff(5879,plain,
% 7.96/5.54 ((~v102(constB82)) <=> v104(constB82)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5878, 5864, 474])).
% 7.96/5.54 tff(5880,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5881,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5882,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5881, 5880])).
% 7.96/5.54 tff(5883,plain,
% 7.96/5.54 (v104(constB82) <=> v1(constB81)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5882, 5864, 488])).
% 7.96/5.54 tff(5884,plain,
% 7.96/5.54 ((~v1(constB81)) <=> (~v1(constB81))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5885,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81')).
% 7.96/5.54 tff(5886,plain,
% 7.96/5.54 (~v1(constB81)),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5885, 5884])).
% 7.96/5.54 tff(5887,plain,
% 7.96/5.54 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82)) | v1(constB81)),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5888,plain,
% 7.96/5.54 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5887, 5886])).
% 7.96/5.54 tff(5889,plain,
% 7.96/5.54 (~v104(constB82)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5888, 5883])).
% 7.96/5.54 tff(5890,plain,
% 7.96/5.54 ((~((~v102(constB82)) <=> v104(constB82))) | v102(constB82) | v104(constB82)),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5891,plain,
% 7.96/5.54 (v102(constB82)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5890, 5889, 5879])).
% 7.96/5.54 tff(5892,plain,
% 7.96/5.54 (v1(constB82) <=> v1(constB82)),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5893,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82')).
% 7.96/5.54 tff(5894,plain,
% 7.96/5.54 (v1(constB82)),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5893, 5892])).
% 7.96/5.54 tff(5895,plain,
% 7.96/5.54 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v1(constB82)) | (~v102(constB82))),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5896,plain,
% 7.96/5.54 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v102(constB82))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5895, 5894])).
% 7.96/5.54 tff(5897,plain,
% 7.96/5.54 (~((~v1(constB82)) | (~v102(constB82)))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5896, 5891])).
% 7.96/5.54 tff(5898,plain,
% 7.96/5.54 ((~(v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))) | v101(constB82) | ((~v1(constB82)) | (~v102(constB82)))),
% 7.96/5.54 inference(tautology,[status(thm)],[])).
% 7.96/5.54 tff(5899,plain,
% 7.96/5.54 (v101(constB82)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5898, 5897, 5875])).
% 7.96/5.54 tff(5900,plain,
% 7.96/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5901,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5902,plain,
% 7.96/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81))),
% 7.96/5.54 inference(modus_ponens,[status(thm)],[5901, 5900])).
% 7.96/5.54 tff(5903,plain,
% 7.96/5.54 (v110(constB82) <=> v108(constB81)),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5902, 5864, 518])).
% 7.96/5.54 tff(5904,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB81) <=> (v111(constB81) | v112(constB81)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5905,plain,
% 7.96/5.54 (v108(constB81) <=> (v111(constB81) | v112(constB81))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5904, 529])).
% 7.96/5.54 tff(5906,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5907,plain,
% 7.96/5.54 (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81))))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5906, 541])).
% 7.96/5.54 tff(5908,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB81) <=> (v114(constB81) | v125(constB81)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5909,plain,
% 7.96/5.54 (v113(constB81) <=> (v114(constB81) | v125(constB81))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5908, 550])).
% 7.96/5.54 tff(5910,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB81) <=> (v115(constB81) | v124(constB81)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5911,plain,
% 7.96/5.54 (v114(constB81) <=> (v115(constB81) | v124(constB81))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5910, 559])).
% 7.96/5.54 tff(5912,plain,
% 7.96/5.54 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB81) <=> (v116(constB81) | v123(constB81)))),
% 7.96/5.54 inference(quant_inst,[status(thm)],[])).
% 7.96/5.54 tff(5913,plain,
% 7.96/5.54 (v115(constB81) <=> (v116(constB81) | v123(constB81))),
% 7.96/5.54 inference(unit_resolution,[status(thm)],[5912, 568])).
% 7.96/5.54 tff(5914,plain,
% 7.96/5.54 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0)))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5915,plain,
% 7.96/5.54 ((v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2))))) <=> (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))))),
% 7.96/5.54 inference(rewrite,[status(thm)],[])).
% 7.96/5.54 tff(5916,plain,
% 7.96/5.54 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0)))))),
% 7.96/5.55 inference(monotonicity,[status(thm)],[5915])).
% 7.96/5.55 tff(5917,plain,
% 7.96/5.55 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0)))))),
% 7.96/5.55 inference(transitivity,[status(thm)],[5916, 5914])).
% 7.96/5.55 tff(5918,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5919,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5918, 5917])).
% 7.96/5.55 tff(5920,plain,
% 7.96/5.55 (v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0)))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5919, 919])).
% 7.96/5.55 tff(5921,plain,
% 7.96/5.55 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5922,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80')).
% 7.96/5.55 tff(5923,plain,
% 7.96/5.55 (nextState(constB80, constB81)),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 7.96/5.55 tff(5924,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5925,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5926,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 7.96/5.55 tff(5927,plain,
% 7.96/5.55 (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5926, 5923, 392])).
% 7.96/5.55 tff(5928,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5929,plain,
% 7.96/5.55 (((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5930,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))))),
% 7.96/5.55 inference(monotonicity,[status(thm)],[5929])).
% 7.96/5.55 tff(5931,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 7.96/5.55 inference(transitivity,[status(thm)],[5930, 5928])).
% 7.96/5.55 tff(5932,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5933,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5932, 5931])).
% 7.96/5.55 tff(5934,plain,
% 7.96/5.55 (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5933, 5923, 412])).
% 7.96/5.55 tff(5935,plain,
% 7.96/5.55 (((~v1(constB81)) | (~v102(constB81))) | v1(constB81)),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(5936,plain,
% 7.96/5.55 ((~v1(constB81)) | (~v102(constB81))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5935, 5886])).
% 7.96/5.55 tff(5937,plain,
% 7.96/5.55 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81)) | (~((~v1(constB81)) | (~v102(constB81))))),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(5938,plain,
% 7.96/5.55 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5937, 5936])).
% 7.96/5.55 tff(5939,plain,
% 7.96/5.55 (~v101(constB81)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5938, 5934])).
% 7.96/5.55 tff(5940,plain,
% 7.96/5.55 (((~v101(constB81)) | (~v110(constB81))) | v101(constB81)),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(5941,plain,
% 7.96/5.55 ((~v101(constB81)) | (~v110(constB81))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5940, 5939])).
% 7.96/5.55 tff(5942,plain,
% 7.96/5.55 ((~(v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))) | (~v100(constB81)) | (~((~v101(constB81)) | (~v110(constB81))))),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(5943,plain,
% 7.96/5.55 (~v100(constB81)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5942, 5941, 5927])).
% 7.96/5.55 tff(5944,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5945,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5946,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 7.96/5.55 tff(5947,plain,
% 7.96/5.55 (v100(constB81) | ![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5946, 5923, 441])).
% 7.96/5.55 tff(5948,plain,
% 7.96/5.55 (![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5947, 5943])).
% 7.96/5.55 tff(5949,plain,
% 7.96/5.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5950,plain,
% 7.96/5.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5951,plain,
% 7.96/5.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 7.96/5.55 tff(5952,plain,
% 7.96/5.55 (v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5951, 648, 5948])).
% 7.96/5.55 tff(5953,plain,
% 7.96/5.55 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5954,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79')).
% 7.96/5.55 tff(5955,plain,
% 7.96/5.55 (nextState(constB79, constB80)),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 7.96/5.55 tff(5956,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5957,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5958,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5957, 5956])).
% 7.96/5.55 tff(5959,plain,
% 7.96/5.55 (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5958, 5955, 392])).
% 7.96/5.55 tff(5960,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5961,plain,
% 7.96/5.55 (((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5962,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))))),
% 7.96/5.55 inference(monotonicity,[status(thm)],[5961])).
% 7.96/5.55 tff(5963,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 7.96/5.55 inference(transitivity,[status(thm)],[5962, 5960])).
% 7.96/5.55 tff(5964,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5965,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 7.96/5.55 tff(5966,plain,
% 7.96/5.55 (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5965, 5955, 412])).
% 7.96/5.55 tff(5967,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5968,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5969,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 7.96/5.55 tff(5970,plain,
% 7.96/5.55 ((~v102(constB80)) <=> v104(constB80)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5969, 5955, 474])).
% 7.96/5.55 tff(5971,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5972,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5973,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5972, 5971])).
% 7.96/5.55 tff(5974,plain,
% 7.96/5.55 (v104(constB80) <=> v1(constB79)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5973, 5955, 488])).
% 7.96/5.55 tff(5975,plain,
% 7.96/5.55 ((~v1(constB79)) <=> (~v1(constB79))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5976,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79')).
% 7.96/5.55 tff(5977,plain,
% 7.96/5.55 (~v1(constB79)),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 7.96/5.55 tff(5978,plain,
% 7.96/5.55 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80)) | v1(constB79)),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(5979,plain,
% 7.96/5.55 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5978, 5977])).
% 7.96/5.55 tff(5980,plain,
% 7.96/5.55 (~v104(constB80)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5979, 5974])).
% 7.96/5.55 tff(5981,plain,
% 7.96/5.55 ((~((~v102(constB80)) <=> v104(constB80))) | v102(constB80) | v104(constB80)),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(5982,plain,
% 7.96/5.55 (v102(constB80)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5981, 5980, 5970])).
% 7.96/5.55 tff(5983,plain,
% 7.96/5.55 (v1(constB80) <=> v1(constB80)),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5984,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80')).
% 7.96/5.55 tff(5985,plain,
% 7.96/5.55 (v1(constB80)),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5984, 5983])).
% 7.96/5.55 tff(5986,plain,
% 7.96/5.55 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v1(constB80)) | (~v102(constB80))),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(5987,plain,
% 7.96/5.55 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v102(constB80))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5986, 5985])).
% 7.96/5.55 tff(5988,plain,
% 7.96/5.55 (~((~v1(constB80)) | (~v102(constB80)))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5987, 5982])).
% 7.96/5.55 tff(5989,plain,
% 7.96/5.55 ((~(v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))) | v101(constB80) | ((~v1(constB80)) | (~v102(constB80)))),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(5990,plain,
% 7.96/5.55 (v101(constB80)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5989, 5988, 5966])).
% 7.96/5.55 tff(5991,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(5992,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5993,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[5992, 5991])).
% 7.96/5.55 tff(5994,plain,
% 7.96/5.55 (v110(constB80) <=> v108(constB79)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5993, 5955, 518])).
% 7.96/5.55 tff(5995,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB79) <=> (v111(constB79) | v112(constB79)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5996,plain,
% 7.96/5.55 (v108(constB79) <=> (v111(constB79) | v112(constB79))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5995, 529])).
% 7.96/5.55 tff(5997,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(5998,plain,
% 7.96/5.55 (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5997, 541])).
% 7.96/5.55 tff(5999,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB79) <=> (v114(constB79) | v125(constB79)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6000,plain,
% 7.96/5.55 (v113(constB79) <=> (v114(constB79) | v125(constB79))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[5999, 550])).
% 7.96/5.55 tff(6001,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB79) <=> (v115(constB79) | v124(constB79)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6002,plain,
% 7.96/5.55 (v114(constB79) <=> (v115(constB79) | v124(constB79))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6001, 559])).
% 7.96/5.55 tff(6003,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB79) <=> (v116(constB79) | v123(constB79)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6004,plain,
% 7.96/5.55 (v115(constB79) <=> (v116(constB79) | v123(constB79))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6003, 568])).
% 7.96/5.55 tff(6005,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB79) <=> (v117(constB79) | v122(constB79)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6006,plain,
% 7.96/5.55 (v116(constB79) <=> (v117(constB79) | v122(constB79))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6005, 577])).
% 7.96/5.55 tff(6007,plain,
% 7.96/5.55 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6008,plain,
% 7.96/5.55 ((v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1))))) <=> (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6009,plain,
% 7.96/5.55 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))))),
% 7.96/5.55 inference(monotonicity,[status(thm)],[6008])).
% 7.96/5.55 tff(6010,plain,
% 7.96/5.55 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))))),
% 7.96/5.55 inference(transitivity,[status(thm)],[6009, 6007])).
% 7.96/5.55 tff(6011,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6012,plain,
% 7.96/5.55 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[6011, 6010])).
% 7.96/5.55 tff(6013,plain,
% 7.96/5.55 (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6012, 1025])).
% 7.96/5.55 tff(6014,plain,
% 7.96/5.55 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6015,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78')).
% 7.96/5.55 tff(6016,plain,
% 7.96/5.55 (nextState(constB78, constB79)),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[6015, 6014])).
% 7.96/5.55 tff(6017,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6018,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6019,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 7.96/5.55 tff(6020,plain,
% 7.96/5.55 (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6019, 6016, 392])).
% 7.96/5.55 tff(6021,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6022,plain,
% 7.96/5.55 (((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6023,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))))),
% 7.96/5.55 inference(monotonicity,[status(thm)],[6022])).
% 7.96/5.55 tff(6024,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 7.96/5.55 inference(transitivity,[status(thm)],[6023, 6021])).
% 7.96/5.55 tff(6025,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6026,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[6025, 6024])).
% 7.96/5.55 tff(6027,plain,
% 7.96/5.55 (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6026, 6016, 412])).
% 7.96/5.55 tff(6028,plain,
% 7.96/5.55 (((~v1(constB79)) | (~v102(constB79))) | v1(constB79)),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(6029,plain,
% 7.96/5.55 ((~v1(constB79)) | (~v102(constB79))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6028, 5977])).
% 7.96/5.55 tff(6030,plain,
% 7.96/5.55 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79)) | (~((~v1(constB79)) | (~v102(constB79))))),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(6031,plain,
% 7.96/5.55 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6030, 6029])).
% 7.96/5.55 tff(6032,plain,
% 7.96/5.55 (~v101(constB79)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6031, 6027])).
% 7.96/5.55 tff(6033,plain,
% 7.96/5.55 (((~v101(constB79)) | (~v110(constB79))) | v101(constB79)),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(6034,plain,
% 7.96/5.55 ((~v101(constB79)) | (~v110(constB79))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6033, 6032])).
% 7.96/5.55 tff(6035,plain,
% 7.96/5.55 ((~(v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))) | (~v100(constB79)) | (~((~v101(constB79)) | (~v110(constB79))))),
% 7.96/5.55 inference(tautology,[status(thm)],[])).
% 7.96/5.55 tff(6036,plain,
% 7.96/5.55 (~v100(constB79)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6035, 6034, 6020])).
% 7.96/5.55 tff(6037,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6038,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6039,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 7.96/5.55 tff(6040,plain,
% 7.96/5.55 (v100(constB79) | ![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6039, 6016, 441])).
% 7.96/5.55 tff(6041,plain,
% 7.96/5.55 (![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6040, 6036])).
% 7.96/5.55 tff(6042,plain,
% 7.96/5.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6043,plain,
% 7.96/5.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6044,plain,
% 7.96/5.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 7.96/5.55 tff(6045,plain,
% 7.96/5.55 (v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2)),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6044, 648, 6041])).
% 7.96/5.55 tff(6046,plain,
% 7.96/5.55 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6047,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77')).
% 7.96/5.55 tff(6048,plain,
% 7.96/5.55 (nextState(constB77, constB78)),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[6047, 6046])).
% 7.96/5.55 tff(6049,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 7.96/5.55 inference(rewrite,[status(thm)],[])).
% 7.96/5.55 tff(6050,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 7.96/5.55 inference(quant_inst,[status(thm)],[])).
% 7.96/5.55 tff(6051,plain,
% 7.96/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))),
% 7.96/5.55 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 7.96/5.55 tff(6052,plain,
% 7.96/5.55 (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))),
% 7.96/5.55 inference(unit_resolution,[status(thm)],[6051, 6048, 392])).
% 7.96/5.55 tff(6053,plain,
% 7.96/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6054,plain,
% 7.96/5.56 (((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6055,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))))),
% 7.96/5.56 inference(monotonicity,[status(thm)],[6054])).
% 7.96/5.56 tff(6056,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 7.96/5.56 inference(transitivity,[status(thm)],[6055, 6053])).
% 7.96/5.56 tff(6057,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6058,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6057, 6056])).
% 7.96/5.56 tff(6059,plain,
% 7.96/5.56 (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6058, 6048, 412])).
% 7.96/5.56 tff(6060,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6061,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6062,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 7.96/5.56 tff(6063,plain,
% 7.96/5.56 ((~v102(constB78)) <=> v104(constB78)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6062, 6048, 474])).
% 7.96/5.56 tff(6064,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6065,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6066,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6065, 6064])).
% 7.96/5.56 tff(6067,plain,
% 7.96/5.56 (v104(constB78) <=> v1(constB77)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6066, 6048, 488])).
% 7.96/5.56 tff(6068,plain,
% 7.96/5.56 ((~v1(constB77)) <=> (~v1(constB77))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6069,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77')).
% 7.96/5.56 tff(6070,plain,
% 7.96/5.56 (~v1(constB77)),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 7.96/5.56 tff(6071,plain,
% 7.96/5.56 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78)) | v1(constB77)),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6072,plain,
% 7.96/5.56 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6071, 6070])).
% 7.96/5.56 tff(6073,plain,
% 7.96/5.56 (~v104(constB78)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6072, 6067])).
% 7.96/5.56 tff(6074,plain,
% 7.96/5.56 ((~((~v102(constB78)) <=> v104(constB78))) | v102(constB78) | v104(constB78)),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6075,plain,
% 7.96/5.56 (v102(constB78)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6074, 6073, 6063])).
% 7.96/5.56 tff(6076,plain,
% 7.96/5.56 (v1(constB78) <=> v1(constB78)),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6077,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78')).
% 7.96/5.56 tff(6078,plain,
% 7.96/5.56 (v1(constB78)),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 7.96/5.56 tff(6079,plain,
% 7.96/5.56 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v1(constB78)) | (~v102(constB78))),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6080,plain,
% 7.96/5.56 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v102(constB78))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6079, 6078])).
% 7.96/5.56 tff(6081,plain,
% 7.96/5.56 (~((~v1(constB78)) | (~v102(constB78)))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6080, 6075])).
% 7.96/5.56 tff(6082,plain,
% 7.96/5.56 ((~(v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))) | v101(constB78) | ((~v1(constB78)) | (~v102(constB78)))),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6083,plain,
% 7.96/5.56 (v101(constB78)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6082, 6081, 6059])).
% 7.96/5.56 tff(6084,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6085,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6086,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 7.96/5.56 tff(6087,plain,
% 7.96/5.56 (v110(constB78) <=> v108(constB77)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6086, 6048, 518])).
% 7.96/5.56 tff(6088,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB77) <=> (v111(constB77) | v112(constB77)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6089,plain,
% 7.96/5.56 (v108(constB77) <=> (v111(constB77) | v112(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6088, 529])).
% 7.96/5.56 tff(6090,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6091,plain,
% 7.96/5.56 (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6090, 541])).
% 7.96/5.56 tff(6092,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB77) <=> (v114(constB77) | v125(constB77)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6093,plain,
% 7.96/5.56 (v113(constB77) <=> (v114(constB77) | v125(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6092, 550])).
% 7.96/5.56 tff(6094,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB77) <=> (v115(constB77) | v124(constB77)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6095,plain,
% 7.96/5.56 (v114(constB77) <=> (v115(constB77) | v124(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6094, 559])).
% 7.96/5.56 tff(6096,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB77) <=> (v116(constB77) | v123(constB77)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6097,plain,
% 7.96/5.56 (v115(constB77) <=> (v116(constB77) | v123(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6096, 568])).
% 7.96/5.56 tff(6098,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB77) <=> (v117(constB77) | v122(constB77)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6099,plain,
% 7.96/5.56 (v116(constB77) <=> (v117(constB77) | v122(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6098, 577])).
% 7.96/5.56 tff(6100,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB77) <=> (v118(constB77) | v121(constB77)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6101,plain,
% 7.96/5.56 (v117(constB77) <=> (v118(constB77) | v121(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6100, 586])).
% 7.96/5.56 tff(6102,plain,
% 7.96/5.56 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0)))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6103,plain,
% 7.96/5.56 ((v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1))))) <=> (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6104,plain,
% 7.96/5.56 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0)))))),
% 7.96/5.56 inference(monotonicity,[status(thm)],[6103])).
% 7.96/5.56 tff(6105,plain,
% 7.96/5.56 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0)))))),
% 7.96/5.56 inference(transitivity,[status(thm)],[6104, 6102])).
% 7.96/5.56 tff(6106,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6107,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 7.96/5.56 tff(6108,plain,
% 7.96/5.56 (v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0)))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6107, 1133])).
% 7.96/5.56 tff(6109,plain,
% 7.96/5.56 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6110,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76')).
% 7.96/5.56 tff(6111,plain,
% 7.96/5.56 (nextState(constB76, constB77)),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6110, 6109])).
% 7.96/5.56 tff(6112,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6113,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6114,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 7.96/5.56 tff(6115,plain,
% 7.96/5.56 (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6114, 6111, 392])).
% 7.96/5.56 tff(6116,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6117,plain,
% 7.96/5.56 (((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6118,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))))),
% 7.96/5.56 inference(monotonicity,[status(thm)],[6117])).
% 7.96/5.56 tff(6119,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 7.96/5.56 inference(transitivity,[status(thm)],[6118, 6116])).
% 7.96/5.56 tff(6120,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6121,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6120, 6119])).
% 7.96/5.56 tff(6122,plain,
% 7.96/5.56 (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6121, 6111, 412])).
% 7.96/5.56 tff(6123,plain,
% 7.96/5.56 (((~v1(constB77)) | (~v102(constB77))) | v1(constB77)),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6124,plain,
% 7.96/5.56 ((~v1(constB77)) | (~v102(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6123, 6070])).
% 7.96/5.56 tff(6125,plain,
% 7.96/5.56 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77)) | (~((~v1(constB77)) | (~v102(constB77))))),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6126,plain,
% 7.96/5.56 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6125, 6124])).
% 7.96/5.56 tff(6127,plain,
% 7.96/5.56 (~v101(constB77)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6126, 6122])).
% 7.96/5.56 tff(6128,plain,
% 7.96/5.56 (((~v101(constB77)) | (~v110(constB77))) | v101(constB77)),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6129,plain,
% 7.96/5.56 ((~v101(constB77)) | (~v110(constB77))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6128, 6127])).
% 7.96/5.56 tff(6130,plain,
% 7.96/5.56 ((~(v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))) | (~v100(constB77)) | (~((~v101(constB77)) | (~v110(constB77))))),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6131,plain,
% 7.96/5.56 (~v100(constB77)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6130, 6129, 6115])).
% 7.96/5.56 tff(6132,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6133,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6134,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6133, 6132])).
% 7.96/5.56 tff(6135,plain,
% 7.96/5.56 (v100(constB77) | ![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6134, 6111, 441])).
% 7.96/5.56 tff(6136,plain,
% 7.96/5.56 (![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6135, 6131])).
% 7.96/5.56 tff(6137,plain,
% 7.96/5.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6138,plain,
% 7.96/5.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6139,plain,
% 7.96/5.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 7.96/5.56 tff(6140,plain,
% 7.96/5.56 (v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6139, 648, 6136])).
% 7.96/5.56 tff(6141,plain,
% 7.96/5.56 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6142,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75')).
% 7.96/5.56 tff(6143,plain,
% 7.96/5.56 (nextState(constB75, constB76)),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 7.96/5.56 tff(6144,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6145,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6146,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6145, 6144])).
% 7.96/5.56 tff(6147,plain,
% 7.96/5.56 (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6146, 6143, 392])).
% 7.96/5.56 tff(6148,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6149,plain,
% 7.96/5.56 (((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6150,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))))),
% 7.96/5.56 inference(monotonicity,[status(thm)],[6149])).
% 7.96/5.56 tff(6151,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 7.96/5.56 inference(transitivity,[status(thm)],[6150, 6148])).
% 7.96/5.56 tff(6152,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6153,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 7.96/5.56 tff(6154,plain,
% 7.96/5.56 (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6153, 6143, 412])).
% 7.96/5.56 tff(6155,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6156,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6157,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6156, 6155])).
% 7.96/5.56 tff(6158,plain,
% 7.96/5.56 ((~v102(constB76)) <=> v104(constB76)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6157, 6143, 474])).
% 7.96/5.56 tff(6159,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6160,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6161,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 7.96/5.56 tff(6162,plain,
% 7.96/5.56 (v104(constB76) <=> v1(constB75)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6161, 6143, 488])).
% 7.96/5.56 tff(6163,plain,
% 7.96/5.56 ((~v1(constB75)) <=> (~v1(constB75))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6164,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75')).
% 7.96/5.56 tff(6165,plain,
% 7.96/5.56 (~v1(constB75)),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 7.96/5.56 tff(6166,plain,
% 7.96/5.56 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76)) | v1(constB75)),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6167,plain,
% 7.96/5.56 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6166, 6165])).
% 7.96/5.56 tff(6168,plain,
% 7.96/5.56 (~v104(constB76)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6167, 6162])).
% 7.96/5.56 tff(6169,plain,
% 7.96/5.56 ((~((~v102(constB76)) <=> v104(constB76))) | v102(constB76) | v104(constB76)),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6170,plain,
% 7.96/5.56 (v102(constB76)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6169, 6168, 6158])).
% 7.96/5.56 tff(6171,plain,
% 7.96/5.56 (v1(constB76) <=> v1(constB76)),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6172,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76')).
% 7.96/5.56 tff(6173,plain,
% 7.96/5.56 (v1(constB76)),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 7.96/5.56 tff(6174,plain,
% 7.96/5.56 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v1(constB76)) | (~v102(constB76))),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6175,plain,
% 7.96/5.56 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v102(constB76))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6174, 6173])).
% 7.96/5.56 tff(6176,plain,
% 7.96/5.56 (~((~v1(constB76)) | (~v102(constB76)))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6175, 6170])).
% 7.96/5.56 tff(6177,plain,
% 7.96/5.56 ((~(v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))) | v101(constB76) | ((~v1(constB76)) | (~v102(constB76)))),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6178,plain,
% 7.96/5.56 (v101(constB76)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6177, 6176, 6154])).
% 7.96/5.56 tff(6179,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6180,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6181,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6180, 6179])).
% 7.96/5.56 tff(6182,plain,
% 7.96/5.56 (v110(constB76) <=> v108(constB75)),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6181, 6143, 518])).
% 7.96/5.56 tff(6183,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB75) <=> (v111(constB75) | v112(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6184,plain,
% 7.96/5.56 (v108(constB75) <=> (v111(constB75) | v112(constB75))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6183, 529])).
% 7.96/5.56 tff(6185,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6186,plain,
% 7.96/5.56 (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6185, 541])).
% 7.96/5.56 tff(6187,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB75) <=> (v114(constB75) | v125(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6188,plain,
% 7.96/5.56 (v113(constB75) <=> (v114(constB75) | v125(constB75))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6187, 550])).
% 7.96/5.56 tff(6189,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB75) <=> (v115(constB75) | v124(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6190,plain,
% 7.96/5.56 (v114(constB75) <=> (v115(constB75) | v124(constB75))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6189, 559])).
% 7.96/5.56 tff(6191,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB75) <=> (v116(constB75) | v123(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6192,plain,
% 7.96/5.56 (v115(constB75) <=> (v116(constB75) | v123(constB75))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6191, 568])).
% 7.96/5.56 tff(6193,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB75) <=> (v117(constB75) | v122(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6194,plain,
% 7.96/5.56 (v116(constB75) <=> (v117(constB75) | v122(constB75))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6193, 577])).
% 7.96/5.56 tff(6195,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB75) <=> (v118(constB75) | v121(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6196,plain,
% 7.96/5.56 (v117(constB75) <=> (v118(constB75) | v121(constB75))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6195, 586])).
% 7.96/5.56 tff(6197,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB75) <=> (v119(constB75) | v120(constB75)))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6198,plain,
% 7.96/5.56 (v118(constB75) <=> (v119(constB75) | v120(constB75))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6197, 595])).
% 7.96/5.56 tff(6199,plain,
% 7.96/5.56 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6200,plain,
% 7.96/5.56 ((v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))))) <=> (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6201,plain,
% 7.96/5.56 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 7.96/5.56 inference(monotonicity,[status(thm)],[6200])).
% 7.96/5.56 tff(6202,plain,
% 7.96/5.56 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))))),
% 7.96/5.56 inference(transitivity,[status(thm)],[6201, 6199])).
% 7.96/5.56 tff(6203,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6204,plain,
% 7.96/5.56 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6203, 6202])).
% 7.96/5.56 tff(6205,plain,
% 7.96/5.56 (v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6204, 610])).
% 7.96/5.56 tff(6206,plain,
% 7.96/5.56 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6207,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74')).
% 7.96/5.56 tff(6208,plain,
% 7.96/5.56 (nextState(constB74, constB75)),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 7.96/5.56 tff(6209,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6210,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6211,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 7.96/5.56 tff(6212,plain,
% 7.96/5.56 (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6211, 6208, 392])).
% 7.96/5.56 tff(6213,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6214,plain,
% 7.96/5.56 (((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 7.96/5.56 inference(rewrite,[status(thm)],[])).
% 7.96/5.56 tff(6215,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))))),
% 7.96/5.56 inference(monotonicity,[status(thm)],[6214])).
% 7.96/5.56 tff(6216,plain,
% 7.96/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 7.96/5.56 inference(transitivity,[status(thm)],[6215, 6213])).
% 7.96/5.56 tff(6217,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))),
% 7.96/5.56 inference(quant_inst,[status(thm)],[])).
% 7.96/5.56 tff(6218,plain,
% 7.96/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))),
% 7.96/5.56 inference(modus_ponens,[status(thm)],[6217, 6216])).
% 7.96/5.56 tff(6219,plain,
% 7.96/5.56 (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))),
% 7.96/5.56 inference(unit_resolution,[status(thm)],[6218, 6208, 412])).
% 7.96/5.56 tff(6220,plain,
% 7.96/5.56 (((~v1(constB75)) | (~v102(constB75))) | v1(constB75)),
% 7.96/5.56 inference(tautology,[status(thm)],[])).
% 7.96/5.56 tff(6221,plain,
% 7.96/5.56 ((~v1(constB75)) | (~v102(constB75))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6220, 6165])).
% 7.96/5.57 tff(6222,plain,
% 7.96/5.57 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75)) | (~((~v1(constB75)) | (~v102(constB75))))),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6223,plain,
% 7.96/5.57 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6222, 6221])).
% 7.96/5.57 tff(6224,plain,
% 7.96/5.57 (~v101(constB75)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6223, 6219])).
% 7.96/5.57 tff(6225,plain,
% 7.96/5.57 (((~v101(constB75)) | (~v110(constB75))) | v101(constB75)),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6226,plain,
% 7.96/5.57 ((~v101(constB75)) | (~v110(constB75))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6225, 6224])).
% 7.96/5.57 tff(6227,plain,
% 7.96/5.57 ((~(v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))) | (~v100(constB75)) | (~((~v101(constB75)) | (~v110(constB75))))),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6228,plain,
% 7.96/5.57 (~v100(constB75)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6227, 6226, 6212])).
% 7.96/5.57 tff(6229,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6230,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6231,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 7.96/5.57 tff(6232,plain,
% 7.96/5.57 (v100(constB75) | ![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6231, 6208, 441])).
% 7.96/5.57 tff(6233,plain,
% 7.96/5.57 (![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6232, 6228])).
% 7.96/5.57 tff(6234,plain,
% 7.96/5.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6235,plain,
% 7.96/5.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6236,plain,
% 7.96/5.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6235, 6234])).
% 7.96/5.57 tff(6237,plain,
% 7.96/5.57 (v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6236, 648, 6233])).
% 7.96/5.57 tff(6238,plain,
% 7.96/5.57 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6239,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73')).
% 7.96/5.57 tff(6240,plain,
% 7.96/5.57 (nextState(constB73, constB74)),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6239, 6238])).
% 7.96/5.57 tff(6241,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6242,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6243,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6242, 6241])).
% 7.96/5.57 tff(6244,plain,
% 7.96/5.57 (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6243, 6240, 392])).
% 7.96/5.57 tff(6245,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6246,plain,
% 7.96/5.57 (((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6247,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))))),
% 7.96/5.57 inference(monotonicity,[status(thm)],[6246])).
% 7.96/5.57 tff(6248,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 7.96/5.57 inference(transitivity,[status(thm)],[6247, 6245])).
% 7.96/5.57 tff(6249,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6250,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6249, 6248])).
% 7.96/5.57 tff(6251,plain,
% 7.96/5.57 (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6250, 6240, 412])).
% 7.96/5.57 tff(6252,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6253,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6254,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 7.96/5.57 tff(6255,plain,
% 7.96/5.57 ((~v102(constB74)) <=> v104(constB74)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6254, 6240, 474])).
% 7.96/5.57 tff(6256,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6257,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6258,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6257, 6256])).
% 7.96/5.57 tff(6259,plain,
% 7.96/5.57 (v104(constB74) <=> v1(constB73)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6258, 6240, 488])).
% 7.96/5.57 tff(6260,plain,
% 7.96/5.57 ((~v1(constB73)) <=> (~v1(constB73))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6261,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73')).
% 7.96/5.57 tff(6262,plain,
% 7.96/5.57 (~v1(constB73)),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6261, 6260])).
% 7.96/5.57 tff(6263,plain,
% 7.96/5.57 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74)) | v1(constB73)),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6264,plain,
% 7.96/5.57 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6263, 6262])).
% 7.96/5.57 tff(6265,plain,
% 7.96/5.57 (~v104(constB74)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6264, 6259])).
% 7.96/5.57 tff(6266,plain,
% 7.96/5.57 ((~((~v102(constB74)) <=> v104(constB74))) | v102(constB74) | v104(constB74)),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6267,plain,
% 7.96/5.57 (v102(constB74)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6266, 6265, 6255])).
% 7.96/5.57 tff(6268,plain,
% 7.96/5.57 (v1(constB74) <=> v1(constB74)),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6269,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74')).
% 7.96/5.57 tff(6270,plain,
% 7.96/5.57 (v1(constB74)),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 7.96/5.57 tff(6271,plain,
% 7.96/5.57 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v1(constB74)) | (~v102(constB74))),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6272,plain,
% 7.96/5.57 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v102(constB74))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6271, 6270])).
% 7.96/5.57 tff(6273,plain,
% 7.96/5.57 (~((~v1(constB74)) | (~v102(constB74)))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6272, 6267])).
% 7.96/5.57 tff(6274,plain,
% 7.96/5.57 ((~(v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))) | v101(constB74) | ((~v1(constB74)) | (~v102(constB74)))),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6275,plain,
% 7.96/5.57 (v101(constB74)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6274, 6273, 6251])).
% 7.96/5.57 tff(6276,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6277,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6278,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 7.96/5.57 tff(6279,plain,
% 7.96/5.57 (v110(constB74) <=> v108(constB73)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6278, 6240, 518])).
% 7.96/5.57 tff(6280,plain,
% 7.96/5.57 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB73) <=> (v111(constB73) | v112(constB73)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6281,plain,
% 7.96/5.57 (v108(constB73) <=> (v111(constB73) | v112(constB73))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6280, 529])).
% 7.96/5.57 tff(6282,plain,
% 7.96/5.57 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6283,plain,
% 7.96/5.57 (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73))))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6282, 541])).
% 7.96/5.57 tff(6284,plain,
% 7.96/5.57 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB73) <=> (v114(constB73) | v125(constB73)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6285,plain,
% 7.96/5.57 (v113(constB73) <=> (v114(constB73) | v125(constB73))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6284, 550])).
% 7.96/5.57 tff(6286,plain,
% 7.96/5.57 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6287,plain,
% 7.96/5.57 ((v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2))))) <=> (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6288,plain,
% 7.96/5.57 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))))),
% 7.96/5.57 inference(monotonicity,[status(thm)],[6287])).
% 7.96/5.57 tff(6289,plain,
% 7.96/5.57 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))))),
% 7.96/5.57 inference(transitivity,[status(thm)],[6288, 6286])).
% 7.96/5.57 tff(6290,plain,
% 7.96/5.57 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6291,plain,
% 7.96/5.57 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6290, 6289])).
% 7.96/5.57 tff(6292,plain,
% 7.96/5.57 (v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6291, 713])).
% 7.96/5.57 tff(6293,plain,
% 7.96/5.57 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6294,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72')).
% 7.96/5.57 tff(6295,plain,
% 7.96/5.57 (nextState(constB72, constB73)),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6294, 6293])).
% 7.96/5.57 tff(6296,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6297,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6298,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 7.96/5.57 tff(6299,plain,
% 7.96/5.57 (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6298, 6295, 392])).
% 7.96/5.57 tff(6300,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6301,plain,
% 7.96/5.57 (((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6302,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))))),
% 7.96/5.57 inference(monotonicity,[status(thm)],[6301])).
% 7.96/5.57 tff(6303,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 7.96/5.57 inference(transitivity,[status(thm)],[6302, 6300])).
% 7.96/5.57 tff(6304,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6305,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6304, 6303])).
% 7.96/5.57 tff(6306,plain,
% 7.96/5.57 (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6305, 6295, 412])).
% 7.96/5.57 tff(6307,plain,
% 7.96/5.57 (((~v1(constB73)) | (~v102(constB73))) | v1(constB73)),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6308,plain,
% 7.96/5.57 ((~v1(constB73)) | (~v102(constB73))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6307, 6262])).
% 7.96/5.57 tff(6309,plain,
% 7.96/5.57 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73)) | (~((~v1(constB73)) | (~v102(constB73))))),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6310,plain,
% 7.96/5.57 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6309, 6308])).
% 7.96/5.57 tff(6311,plain,
% 7.96/5.57 (~v101(constB73)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6310, 6306])).
% 7.96/5.57 tff(6312,plain,
% 7.96/5.57 (((~v101(constB73)) | (~v110(constB73))) | v101(constB73)),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6313,plain,
% 7.96/5.57 ((~v101(constB73)) | (~v110(constB73))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6312, 6311])).
% 7.96/5.57 tff(6314,plain,
% 7.96/5.57 ((~(v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))) | (~v100(constB73)) | (~((~v101(constB73)) | (~v110(constB73))))),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6315,plain,
% 7.96/5.57 (~v100(constB73)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6314, 6313, 6299])).
% 7.96/5.57 tff(6316,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6317,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6318,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 7.96/5.57 tff(6319,plain,
% 7.96/5.57 (v100(constB73) | ![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6318, 6295, 441])).
% 7.96/5.57 tff(6320,plain,
% 7.96/5.57 (![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6319, 6315])).
% 7.96/5.57 tff(6321,plain,
% 7.96/5.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6322,plain,
% 7.96/5.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6323,plain,
% 7.96/5.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6322, 6321])).
% 7.96/5.57 tff(6324,plain,
% 7.96/5.57 (v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6323, 648, 6320])).
% 7.96/5.57 tff(6325,plain,
% 7.96/5.57 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6326,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71')).
% 7.96/5.57 tff(6327,plain,
% 7.96/5.57 (nextState(constB71, constB72)),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6326, 6325])).
% 7.96/5.57 tff(6328,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6329,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6330,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6329, 6328])).
% 7.96/5.57 tff(6331,plain,
% 7.96/5.57 (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6330, 6327, 392])).
% 7.96/5.57 tff(6332,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6333,plain,
% 7.96/5.57 (((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6334,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))))),
% 7.96/5.57 inference(monotonicity,[status(thm)],[6333])).
% 7.96/5.57 tff(6335,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 7.96/5.57 inference(transitivity,[status(thm)],[6334, 6332])).
% 7.96/5.57 tff(6336,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6337,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6336, 6335])).
% 7.96/5.57 tff(6338,plain,
% 7.96/5.57 (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6337, 6327, 412])).
% 7.96/5.57 tff(6339,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6340,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6341,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 7.96/5.57 tff(6342,plain,
% 7.96/5.57 ((~v102(constB72)) <=> v104(constB72)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6341, 6327, 474])).
% 7.96/5.57 tff(6343,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6344,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 7.96/5.57 inference(quant_inst,[status(thm)],[])).
% 7.96/5.57 tff(6345,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71))),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 7.96/5.57 tff(6346,plain,
% 7.96/5.57 (v104(constB72) <=> v1(constB71)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6345, 6327, 488])).
% 7.96/5.57 tff(6347,plain,
% 7.96/5.57 ((~v1(constB71)) <=> (~v1(constB71))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6348,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71')).
% 7.96/5.57 tff(6349,plain,
% 7.96/5.57 (~v1(constB71)),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 7.96/5.57 tff(6350,plain,
% 7.96/5.57 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72)) | v1(constB71)),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6351,plain,
% 7.96/5.57 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6350, 6349])).
% 7.96/5.57 tff(6352,plain,
% 7.96/5.57 (~v104(constB72)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6351, 6346])).
% 7.96/5.57 tff(6353,plain,
% 7.96/5.57 ((~((~v102(constB72)) <=> v104(constB72))) | v102(constB72) | v104(constB72)),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6354,plain,
% 7.96/5.57 (v102(constB72)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6353, 6352, 6342])).
% 7.96/5.57 tff(6355,plain,
% 7.96/5.57 (v1(constB72) <=> v1(constB72)),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6356,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72')).
% 7.96/5.57 tff(6357,plain,
% 7.96/5.57 (v1(constB72)),
% 7.96/5.57 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 7.96/5.57 tff(6358,plain,
% 7.96/5.57 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v1(constB72)) | (~v102(constB72))),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6359,plain,
% 7.96/5.57 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v102(constB72))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6358, 6357])).
% 7.96/5.57 tff(6360,plain,
% 7.96/5.57 (~((~v1(constB72)) | (~v102(constB72)))),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6359, 6354])).
% 7.96/5.57 tff(6361,plain,
% 7.96/5.57 ((~(v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))) | v101(constB72) | ((~v1(constB72)) | (~v102(constB72)))),
% 7.96/5.57 inference(tautology,[status(thm)],[])).
% 7.96/5.57 tff(6362,plain,
% 7.96/5.57 (v101(constB72)),
% 7.96/5.57 inference(unit_resolution,[status(thm)],[6361, 6360, 6338])).
% 7.96/5.57 tff(6363,plain,
% 7.96/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 7.96/5.57 inference(rewrite,[status(thm)],[])).
% 7.96/5.57 tff(6364,plain,
% 7.96/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6365,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 7.96/5.58 tff(6366,plain,
% 7.96/5.58 (v110(constB72) <=> v108(constB71)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6365, 6327, 518])).
% 7.96/5.58 tff(6367,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB71) <=> (v111(constB71) | v112(constB71)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6368,plain,
% 7.96/5.58 (v108(constB71) <=> (v111(constB71) | v112(constB71))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6367, 529])).
% 7.96/5.58 tff(6369,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6370,plain,
% 7.96/5.58 (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6369, 541])).
% 7.96/5.58 tff(6371,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB71) <=> (v114(constB71) | v125(constB71)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6372,plain,
% 7.96/5.58 (v113(constB71) <=> (v114(constB71) | v125(constB71))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6371, 550])).
% 7.96/5.58 tff(6373,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB71) <=> (v115(constB71) | v124(constB71)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6374,plain,
% 7.96/5.58 (v114(constB71) <=> (v115(constB71) | v124(constB71))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6373, 559])).
% 7.96/5.58 tff(6375,plain,
% 7.96/5.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6376,plain,
% 7.96/5.58 ((v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2))))) <=> (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6377,plain,
% 7.96/5.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0))))))),
% 7.96/5.58 inference(monotonicity,[status(thm)],[6376])).
% 7.96/5.58 tff(6378,plain,
% 7.96/5.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0))))))),
% 7.96/5.58 inference(transitivity,[status(thm)],[6377, 6375])).
% 7.96/5.58 tff(6379,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2)))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6380,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 7.96/5.58 tff(6381,plain,
% 7.96/5.58 (v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6380, 815])).
% 7.96/5.58 tff(6382,plain,
% 7.96/5.58 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6383,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70')).
% 7.96/5.58 tff(6384,plain,
% 7.96/5.58 (nextState(constB70, constB71)),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 7.96/5.58 tff(6385,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6386,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6387,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6386, 6385])).
% 7.96/5.58 tff(6388,plain,
% 7.96/5.58 (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6387, 6384, 392])).
% 7.96/5.58 tff(6389,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6390,plain,
% 7.96/5.58 (((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6391,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))))),
% 7.96/5.58 inference(monotonicity,[status(thm)],[6390])).
% 7.96/5.58 tff(6392,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 7.96/5.58 inference(transitivity,[status(thm)],[6391, 6389])).
% 7.96/5.58 tff(6393,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6394,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6393, 6392])).
% 7.96/5.58 tff(6395,plain,
% 7.96/5.58 (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6394, 6384, 412])).
% 7.96/5.58 tff(6396,plain,
% 7.96/5.58 (((~v1(constB71)) | (~v102(constB71))) | v1(constB71)),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6397,plain,
% 7.96/5.58 ((~v1(constB71)) | (~v102(constB71))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6396, 6349])).
% 7.96/5.58 tff(6398,plain,
% 7.96/5.58 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71)) | (~((~v1(constB71)) | (~v102(constB71))))),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6399,plain,
% 7.96/5.58 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6398, 6397])).
% 7.96/5.58 tff(6400,plain,
% 7.96/5.58 (~v101(constB71)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6399, 6395])).
% 7.96/5.58 tff(6401,plain,
% 7.96/5.58 (((~v101(constB71)) | (~v110(constB71))) | v101(constB71)),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6402,plain,
% 7.96/5.58 ((~v101(constB71)) | (~v110(constB71))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6401, 6400])).
% 7.96/5.58 tff(6403,plain,
% 7.96/5.58 ((~(v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))) | (~v100(constB71)) | (~((~v101(constB71)) | (~v110(constB71))))),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6404,plain,
% 7.96/5.58 (~v100(constB71)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6403, 6402, 6388])).
% 7.96/5.58 tff(6405,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6406,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6407,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 7.96/5.58 tff(6408,plain,
% 7.96/5.58 (v100(constB71) | ![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6407, 6384, 441])).
% 7.96/5.58 tff(6409,plain,
% 7.96/5.58 (![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6408, 6404])).
% 7.96/5.58 tff(6410,plain,
% 7.96/5.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6411,plain,
% 7.96/5.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6412,plain,
% 7.96/5.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6411, 6410])).
% 7.96/5.58 tff(6413,plain,
% 7.96/5.58 (v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6412, 648, 6409])).
% 7.96/5.58 tff(6414,plain,
% 7.96/5.58 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6415,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69')).
% 7.96/5.58 tff(6416,plain,
% 7.96/5.58 (nextState(constB69, constB70)),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 7.96/5.58 tff(6417,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6418,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6419,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 7.96/5.58 tff(6420,plain,
% 7.96/5.58 (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6419, 6416, 392])).
% 7.96/5.58 tff(6421,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6422,plain,
% 7.96/5.58 (((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6423,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))))),
% 7.96/5.58 inference(monotonicity,[status(thm)],[6422])).
% 7.96/5.58 tff(6424,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 7.96/5.58 inference(transitivity,[status(thm)],[6423, 6421])).
% 7.96/5.58 tff(6425,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6426,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 7.96/5.58 tff(6427,plain,
% 7.96/5.58 (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6426, 6416, 412])).
% 7.96/5.58 tff(6428,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6429,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6430,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 7.96/5.58 tff(6431,plain,
% 7.96/5.58 ((~v102(constB70)) <=> v104(constB70)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6430, 6416, 474])).
% 7.96/5.58 tff(6432,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6433,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6434,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6433, 6432])).
% 7.96/5.58 tff(6435,plain,
% 7.96/5.58 (v104(constB70) <=> v1(constB69)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6434, 6416, 488])).
% 7.96/5.58 tff(6436,plain,
% 7.96/5.58 ((~v1(constB69)) <=> (~v1(constB69))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6437,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69')).
% 7.96/5.58 tff(6438,plain,
% 7.96/5.58 (~v1(constB69)),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 7.96/5.58 tff(6439,plain,
% 7.96/5.58 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70)) | v1(constB69)),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6440,plain,
% 7.96/5.58 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6439, 6438])).
% 7.96/5.58 tff(6441,plain,
% 7.96/5.58 (~v104(constB70)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6440, 6435])).
% 7.96/5.58 tff(6442,plain,
% 7.96/5.58 ((~((~v102(constB70)) <=> v104(constB70))) | v102(constB70) | v104(constB70)),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6443,plain,
% 7.96/5.58 (v102(constB70)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6442, 6441, 6431])).
% 7.96/5.58 tff(6444,plain,
% 7.96/5.58 (v1(constB70) <=> v1(constB70)),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6445,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70')).
% 7.96/5.58 tff(6446,plain,
% 7.96/5.58 (v1(constB70)),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6445, 6444])).
% 7.96/5.58 tff(6447,plain,
% 7.96/5.58 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v1(constB70)) | (~v102(constB70))),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6448,plain,
% 7.96/5.58 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v102(constB70))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6447, 6446])).
% 7.96/5.58 tff(6449,plain,
% 7.96/5.58 (~((~v1(constB70)) | (~v102(constB70)))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6448, 6443])).
% 7.96/5.58 tff(6450,plain,
% 7.96/5.58 ((~(v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))) | v101(constB70) | ((~v1(constB70)) | (~v102(constB70)))),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6451,plain,
% 7.96/5.58 (v101(constB70)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6450, 6449, 6427])).
% 7.96/5.58 tff(6452,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6453,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6454,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6453, 6452])).
% 7.96/5.58 tff(6455,plain,
% 7.96/5.58 (v110(constB70) <=> v108(constB69)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6454, 6416, 518])).
% 7.96/5.58 tff(6456,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB69) <=> (v111(constB69) | v112(constB69)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6457,plain,
% 7.96/5.58 (v108(constB69) <=> (v111(constB69) | v112(constB69))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6456, 529])).
% 7.96/5.58 tff(6458,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6459,plain,
% 7.96/5.58 (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6458, 541])).
% 7.96/5.58 tff(6460,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB69) <=> (v114(constB69) | v125(constB69)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6461,plain,
% 7.96/5.58 (v113(constB69) <=> (v114(constB69) | v125(constB69))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6460, 550])).
% 7.96/5.58 tff(6462,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB69) <=> (v115(constB69) | v124(constB69)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6463,plain,
% 7.96/5.58 (v114(constB69) <=> (v115(constB69) | v124(constB69))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6462, 559])).
% 7.96/5.58 tff(6464,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB69) <=> (v116(constB69) | v123(constB69)))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6465,plain,
% 7.96/5.58 (v115(constB69) <=> (v116(constB69) | v123(constB69))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6464, 568])).
% 7.96/5.58 tff(6466,plain,
% 7.96/5.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0)))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6467,plain,
% 7.96/5.58 ((v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2))))) <=> (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6468,plain,
% 7.96/5.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0)))))),
% 7.96/5.58 inference(monotonicity,[status(thm)],[6467])).
% 7.96/5.58 tff(6469,plain,
% 7.96/5.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0)))))),
% 7.96/5.58 inference(transitivity,[status(thm)],[6468, 6466])).
% 7.96/5.58 tff(6470,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6471,plain,
% 7.96/5.58 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6470, 6469])).
% 7.96/5.58 tff(6472,plain,
% 7.96/5.58 (v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0)))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6471, 919])).
% 7.96/5.58 tff(6473,plain,
% 7.96/5.58 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6474,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68')).
% 7.96/5.58 tff(6475,plain,
% 7.96/5.58 (nextState(constB68, constB69)),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 7.96/5.58 tff(6476,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6477,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6478,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6477, 6476])).
% 7.96/5.58 tff(6479,plain,
% 7.96/5.58 (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6478, 6475, 392])).
% 7.96/5.58 tff(6480,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6481,plain,
% 7.96/5.58 (((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 7.96/5.58 inference(rewrite,[status(thm)],[])).
% 7.96/5.58 tff(6482,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))))),
% 7.96/5.58 inference(monotonicity,[status(thm)],[6481])).
% 7.96/5.58 tff(6483,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 7.96/5.58 inference(transitivity,[status(thm)],[6482, 6480])).
% 7.96/5.58 tff(6484,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))),
% 7.96/5.58 inference(quant_inst,[status(thm)],[])).
% 7.96/5.58 tff(6485,plain,
% 7.96/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))),
% 7.96/5.58 inference(modus_ponens,[status(thm)],[6484, 6483])).
% 7.96/5.58 tff(6486,plain,
% 7.96/5.58 (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6485, 6475, 412])).
% 7.96/5.58 tff(6487,plain,
% 7.96/5.58 (((~v1(constB69)) | (~v102(constB69))) | v1(constB69)),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6488,plain,
% 7.96/5.58 ((~v1(constB69)) | (~v102(constB69))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6487, 6438])).
% 7.96/5.58 tff(6489,plain,
% 7.96/5.58 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69)) | (~((~v1(constB69)) | (~v102(constB69))))),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6490,plain,
% 7.96/5.58 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6489, 6488])).
% 7.96/5.58 tff(6491,plain,
% 7.96/5.58 (~v101(constB69)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6490, 6486])).
% 7.96/5.58 tff(6492,plain,
% 7.96/5.58 (((~v101(constB69)) | (~v110(constB69))) | v101(constB69)),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6493,plain,
% 7.96/5.58 ((~v101(constB69)) | (~v110(constB69))),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6492, 6491])).
% 7.96/5.58 tff(6494,plain,
% 7.96/5.58 ((~(v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))) | (~v100(constB69)) | (~((~v101(constB69)) | (~v110(constB69))))),
% 7.96/5.58 inference(tautology,[status(thm)],[])).
% 7.96/5.58 tff(6495,plain,
% 7.96/5.58 (~v100(constB69)),
% 7.96/5.58 inference(unit_resolution,[status(thm)],[6494, 6493, 6479])).
% 7.96/5.58 tff(6496,plain,
% 7.96/5.58 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6497,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6498,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 7.96/5.59 tff(6499,plain,
% 7.96/5.59 (v100(constB69) | ![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6498, 6475, 441])).
% 7.96/5.59 tff(6500,plain,
% 7.96/5.59 (![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6499, 6495])).
% 7.96/5.59 tff(6501,plain,
% 7.96/5.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6502,plain,
% 7.96/5.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6503,plain,
% 7.96/5.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6502, 6501])).
% 7.96/5.59 tff(6504,plain,
% 7.96/5.59 (v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6503, 648, 6500])).
% 7.96/5.59 tff(6505,plain,
% 7.96/5.59 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6506,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67')).
% 7.96/5.59 tff(6507,plain,
% 7.96/5.59 (nextState(constB67, constB68)),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6506, 6505])).
% 7.96/5.59 tff(6508,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6509,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6510,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6509, 6508])).
% 7.96/5.59 tff(6511,plain,
% 7.96/5.59 (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6510, 6507, 392])).
% 7.96/5.59 tff(6512,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6513,plain,
% 7.96/5.59 (((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6514,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))))),
% 7.96/5.59 inference(monotonicity,[status(thm)],[6513])).
% 7.96/5.59 tff(6515,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 7.96/5.59 inference(transitivity,[status(thm)],[6514, 6512])).
% 7.96/5.59 tff(6516,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6517,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 7.96/5.59 tff(6518,plain,
% 7.96/5.59 (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6517, 6507, 412])).
% 7.96/5.59 tff(6519,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6520,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6521,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 7.96/5.59 tff(6522,plain,
% 7.96/5.59 ((~v102(constB68)) <=> v104(constB68)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6521, 6507, 474])).
% 7.96/5.59 tff(6523,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6524,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6525,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6524, 6523])).
% 7.96/5.59 tff(6526,plain,
% 7.96/5.59 (v104(constB68) <=> v1(constB67)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6525, 6507, 488])).
% 7.96/5.59 tff(6527,plain,
% 7.96/5.59 ((~v1(constB67)) <=> (~v1(constB67))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6528,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67')).
% 7.96/5.59 tff(6529,plain,
% 7.96/5.59 (~v1(constB67)),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 7.96/5.59 tff(6530,plain,
% 7.96/5.59 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68)) | v1(constB67)),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6531,plain,
% 7.96/5.59 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6530, 6529])).
% 7.96/5.59 tff(6532,plain,
% 7.96/5.59 (~v104(constB68)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6531, 6526])).
% 7.96/5.59 tff(6533,plain,
% 7.96/5.59 ((~((~v102(constB68)) <=> v104(constB68))) | v102(constB68) | v104(constB68)),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6534,plain,
% 7.96/5.59 (v102(constB68)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6533, 6532, 6522])).
% 7.96/5.59 tff(6535,plain,
% 7.96/5.59 (v1(constB68) <=> v1(constB68)),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6536,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68')).
% 7.96/5.59 tff(6537,plain,
% 7.96/5.59 (v1(constB68)),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 7.96/5.59 tff(6538,plain,
% 7.96/5.59 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v1(constB68)) | (~v102(constB68))),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6539,plain,
% 7.96/5.59 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v102(constB68))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6538, 6537])).
% 7.96/5.59 tff(6540,plain,
% 7.96/5.59 (~((~v1(constB68)) | (~v102(constB68)))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6539, 6534])).
% 7.96/5.59 tff(6541,plain,
% 7.96/5.59 ((~(v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))) | v101(constB68) | ((~v1(constB68)) | (~v102(constB68)))),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6542,plain,
% 7.96/5.59 (v101(constB68)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6541, 6540, 6518])).
% 7.96/5.59 tff(6543,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6544,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6545,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6544, 6543])).
% 7.96/5.59 tff(6546,plain,
% 7.96/5.59 (v110(constB68) <=> v108(constB67)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6545, 6507, 518])).
% 7.96/5.59 tff(6547,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB67) <=> (v111(constB67) | v112(constB67)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6548,plain,
% 7.96/5.59 (v108(constB67) <=> (v111(constB67) | v112(constB67))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6547, 529])).
% 7.96/5.59 tff(6549,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6550,plain,
% 7.96/5.59 (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6549, 541])).
% 7.96/5.59 tff(6551,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB67) <=> (v114(constB67) | v125(constB67)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6552,plain,
% 7.96/5.59 (v113(constB67) <=> (v114(constB67) | v125(constB67))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6551, 550])).
% 7.96/5.59 tff(6553,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB67) <=> (v115(constB67) | v124(constB67)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6554,plain,
% 7.96/5.59 (v114(constB67) <=> (v115(constB67) | v124(constB67))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6553, 559])).
% 7.96/5.59 tff(6555,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB67) <=> (v116(constB67) | v123(constB67)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6556,plain,
% 7.96/5.59 (v115(constB67) <=> (v116(constB67) | v123(constB67))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6555, 568])).
% 7.96/5.59 tff(6557,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB67) <=> (v117(constB67) | v122(constB67)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6558,plain,
% 7.96/5.59 (v116(constB67) <=> (v117(constB67) | v122(constB67))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6557, 577])).
% 7.96/5.59 tff(6559,plain,
% 7.96/5.59 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6560,plain,
% 7.96/5.59 ((v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1))))) <=> (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6561,plain,
% 7.96/5.59 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))))),
% 7.96/5.59 inference(monotonicity,[status(thm)],[6560])).
% 7.96/5.59 tff(6562,plain,
% 7.96/5.59 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))))),
% 7.96/5.59 inference(transitivity,[status(thm)],[6561, 6559])).
% 7.96/5.59 tff(6563,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6564,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6563, 6562])).
% 7.96/5.59 tff(6565,plain,
% 7.96/5.59 (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6564, 1025])).
% 7.96/5.59 tff(6566,plain,
% 7.96/5.59 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6567,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66')).
% 7.96/5.59 tff(6568,plain,
% 7.96/5.59 (nextState(constB66, constB67)),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 7.96/5.59 tff(6569,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6570,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6571,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 7.96/5.59 tff(6572,plain,
% 7.96/5.59 (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6571, 6568, 392])).
% 7.96/5.59 tff(6573,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6574,plain,
% 7.96/5.59 (((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6575,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))))),
% 7.96/5.59 inference(monotonicity,[status(thm)],[6574])).
% 7.96/5.59 tff(6576,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 7.96/5.59 inference(transitivity,[status(thm)],[6575, 6573])).
% 7.96/5.59 tff(6577,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6578,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6577, 6576])).
% 7.96/5.59 tff(6579,plain,
% 7.96/5.59 (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6578, 6568, 412])).
% 7.96/5.59 tff(6580,plain,
% 7.96/5.59 (((~v1(constB67)) | (~v102(constB67))) | v1(constB67)),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6581,plain,
% 7.96/5.59 ((~v1(constB67)) | (~v102(constB67))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6580, 6529])).
% 7.96/5.59 tff(6582,plain,
% 7.96/5.59 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67)) | (~((~v1(constB67)) | (~v102(constB67))))),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6583,plain,
% 7.96/5.59 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6582, 6581])).
% 7.96/5.59 tff(6584,plain,
% 7.96/5.59 (~v101(constB67)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6583, 6579])).
% 7.96/5.59 tff(6585,plain,
% 7.96/5.59 (((~v101(constB67)) | (~v110(constB67))) | v101(constB67)),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6586,plain,
% 7.96/5.59 ((~v101(constB67)) | (~v110(constB67))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6585, 6584])).
% 7.96/5.59 tff(6587,plain,
% 7.96/5.59 ((~(v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))) | (~v100(constB67)) | (~((~v101(constB67)) | (~v110(constB67))))),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6588,plain,
% 7.96/5.59 (~v100(constB67)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6587, 6586, 6572])).
% 7.96/5.59 tff(6589,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6590,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6591,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6590, 6589])).
% 7.96/5.59 tff(6592,plain,
% 7.96/5.59 (v100(constB67) | ![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6591, 6568, 441])).
% 7.96/5.59 tff(6593,plain,
% 7.96/5.59 (![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6592, 6588])).
% 7.96/5.59 tff(6594,plain,
% 7.96/5.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6595,plain,
% 7.96/5.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6596,plain,
% 7.96/5.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 7.96/5.59 tff(6597,plain,
% 7.96/5.59 (v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6596, 648, 6593])).
% 7.96/5.59 tff(6598,plain,
% 7.96/5.59 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6599,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65')).
% 7.96/5.59 tff(6600,plain,
% 7.96/5.59 (nextState(constB65, constB66)),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 7.96/5.59 tff(6601,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6602,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6603,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6602, 6601])).
% 7.96/5.59 tff(6604,plain,
% 7.96/5.59 (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6603, 6600, 392])).
% 7.96/5.59 tff(6605,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6606,plain,
% 7.96/5.59 (((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6607,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))))),
% 7.96/5.59 inference(monotonicity,[status(thm)],[6606])).
% 7.96/5.59 tff(6608,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 7.96/5.59 inference(transitivity,[status(thm)],[6607, 6605])).
% 7.96/5.59 tff(6609,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6610,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6609, 6608])).
% 7.96/5.59 tff(6611,plain,
% 7.96/5.59 (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6610, 6600, 412])).
% 7.96/5.59 tff(6612,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6613,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6614,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6613, 6612])).
% 7.96/5.59 tff(6615,plain,
% 7.96/5.59 ((~v102(constB66)) <=> v104(constB66)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6614, 6600, 474])).
% 7.96/5.59 tff(6616,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6617,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6618,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6617, 6616])).
% 7.96/5.59 tff(6619,plain,
% 7.96/5.59 (v104(constB66) <=> v1(constB65)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6618, 6600, 488])).
% 7.96/5.59 tff(6620,plain,
% 7.96/5.59 ((~v1(constB65)) <=> (~v1(constB65))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6621,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65')).
% 7.96/5.59 tff(6622,plain,
% 7.96/5.59 (~v1(constB65)),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6621, 6620])).
% 7.96/5.59 tff(6623,plain,
% 7.96/5.59 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66)) | v1(constB65)),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6624,plain,
% 7.96/5.59 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6623, 6622])).
% 7.96/5.59 tff(6625,plain,
% 7.96/5.59 (~v104(constB66)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6624, 6619])).
% 7.96/5.59 tff(6626,plain,
% 7.96/5.59 ((~((~v102(constB66)) <=> v104(constB66))) | v102(constB66) | v104(constB66)),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6627,plain,
% 7.96/5.59 (v102(constB66)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6626, 6625, 6615])).
% 7.96/5.59 tff(6628,plain,
% 7.96/5.59 (v1(constB66) <=> v1(constB66)),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6629,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66')).
% 7.96/5.59 tff(6630,plain,
% 7.96/5.59 (v1(constB66)),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6629, 6628])).
% 7.96/5.59 tff(6631,plain,
% 7.96/5.59 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v1(constB66)) | (~v102(constB66))),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6632,plain,
% 7.96/5.59 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v102(constB66))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6631, 6630])).
% 7.96/5.59 tff(6633,plain,
% 7.96/5.59 (~((~v1(constB66)) | (~v102(constB66)))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6632, 6627])).
% 7.96/5.59 tff(6634,plain,
% 7.96/5.59 ((~(v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))) | v101(constB66) | ((~v1(constB66)) | (~v102(constB66)))),
% 7.96/5.59 inference(tautology,[status(thm)],[])).
% 7.96/5.59 tff(6635,plain,
% 7.96/5.59 (v101(constB66)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6634, 6633, 6611])).
% 7.96/5.59 tff(6636,plain,
% 7.96/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6637,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6638,plain,
% 7.96/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65))),
% 7.96/5.59 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 7.96/5.59 tff(6639,plain,
% 7.96/5.59 (v110(constB66) <=> v108(constB65)),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6638, 6600, 518])).
% 7.96/5.59 tff(6640,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB65) <=> (v111(constB65) | v112(constB65)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6641,plain,
% 7.96/5.59 (v108(constB65) <=> (v111(constB65) | v112(constB65))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6640, 529])).
% 7.96/5.59 tff(6642,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6643,plain,
% 7.96/5.59 (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65))))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6642, 541])).
% 7.96/5.59 tff(6644,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB65) <=> (v114(constB65) | v125(constB65)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6645,plain,
% 7.96/5.59 (v113(constB65) <=> (v114(constB65) | v125(constB65))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6644, 550])).
% 7.96/5.59 tff(6646,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB65) <=> (v115(constB65) | v124(constB65)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6647,plain,
% 7.96/5.59 (v114(constB65) <=> (v115(constB65) | v124(constB65))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6646, 559])).
% 7.96/5.59 tff(6648,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB65) <=> (v116(constB65) | v123(constB65)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6649,plain,
% 7.96/5.59 (v115(constB65) <=> (v116(constB65) | v123(constB65))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6648, 568])).
% 7.96/5.59 tff(6650,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB65) <=> (v117(constB65) | v122(constB65)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6651,plain,
% 7.96/5.59 (v116(constB65) <=> (v117(constB65) | v122(constB65))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6650, 577])).
% 7.96/5.59 tff(6652,plain,
% 7.96/5.59 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB65) <=> (v118(constB65) | v121(constB65)))),
% 7.96/5.59 inference(quant_inst,[status(thm)],[])).
% 7.96/5.59 tff(6653,plain,
% 7.96/5.59 (v117(constB65) <=> (v118(constB65) | v121(constB65))),
% 7.96/5.59 inference(unit_resolution,[status(thm)],[6652, 586])).
% 7.96/5.59 tff(6654,plain,
% 7.96/5.59 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 7.96/5.59 inference(rewrite,[status(thm)],[])).
% 7.96/5.59 tff(6655,plain,
% 7.96/5.59 ((v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1))))) <=> (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6656,plain,
% 8.02/5.60 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[6655])).
% 8.02/5.60 tff(6657,plain,
% 8.02/5.60 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[6656, 6654])).
% 8.02/5.60 tff(6658,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6659,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 8.02/5.60 tff(6660,plain,
% 8.02/5.60 (v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6659, 1133])).
% 8.02/5.60 tff(6661,plain,
% 8.02/5.60 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6662,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64')).
% 8.02/5.60 tff(6663,plain,
% 8.02/5.60 (nextState(constB64, constB65)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 8.02/5.60 tff(6664,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6665,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6666,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 8.02/5.60 tff(6667,plain,
% 8.02/5.60 (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6666, 6663, 392])).
% 8.02/5.60 tff(6668,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6669,plain,
% 8.02/5.60 (((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6670,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[6669])).
% 8.02/5.60 tff(6671,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[6670, 6668])).
% 8.02/5.60 tff(6672,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6673,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6672, 6671])).
% 8.02/5.60 tff(6674,plain,
% 8.02/5.60 (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6673, 6663, 412])).
% 8.02/5.60 tff(6675,plain,
% 8.02/5.60 (((~v1(constB65)) | (~v102(constB65))) | v1(constB65)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6676,plain,
% 8.02/5.60 ((~v1(constB65)) | (~v102(constB65))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6675, 6622])).
% 8.02/5.60 tff(6677,plain,
% 8.02/5.60 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65)) | (~((~v1(constB65)) | (~v102(constB65))))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6678,plain,
% 8.02/5.60 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6677, 6676])).
% 8.02/5.60 tff(6679,plain,
% 8.02/5.60 (~v101(constB65)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6678, 6674])).
% 8.02/5.60 tff(6680,plain,
% 8.02/5.60 (((~v101(constB65)) | (~v110(constB65))) | v101(constB65)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6681,plain,
% 8.02/5.60 ((~v101(constB65)) | (~v110(constB65))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6680, 6679])).
% 8.02/5.60 tff(6682,plain,
% 8.02/5.60 ((~(v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))) | (~v100(constB65)) | (~((~v101(constB65)) | (~v110(constB65))))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6683,plain,
% 8.02/5.60 (~v100(constB65)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6682, 6681, 6667])).
% 8.02/5.60 tff(6684,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6685,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6686,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 8.02/5.60 tff(6687,plain,
% 8.02/5.60 (v100(constB65) | ![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6686, 6663, 441])).
% 8.02/5.60 tff(6688,plain,
% 8.02/5.60 (![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6687, 6683])).
% 8.02/5.60 tff(6689,plain,
% 8.02/5.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6690,plain,
% 8.02/5.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6691,plain,
% 8.02/5.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 8.02/5.60 tff(6692,plain,
% 8.02/5.60 (v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6691, 648, 6688])).
% 8.02/5.60 tff(6693,plain,
% 8.02/5.60 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6694,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63')).
% 8.02/5.60 tff(6695,plain,
% 8.02/5.60 (nextState(constB63, constB64)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 8.02/5.60 tff(6696,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6697,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6698,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 8.02/5.60 tff(6699,plain,
% 8.02/5.60 (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6698, 6695, 392])).
% 8.02/5.60 tff(6700,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6701,plain,
% 8.02/5.60 (((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6702,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[6701])).
% 8.02/5.60 tff(6703,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[6702, 6700])).
% 8.02/5.60 tff(6704,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6705,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6704, 6703])).
% 8.02/5.60 tff(6706,plain,
% 8.02/5.60 (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6705, 6695, 412])).
% 8.02/5.60 tff(6707,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6708,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6709,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6708, 6707])).
% 8.02/5.60 tff(6710,plain,
% 8.02/5.60 ((~v102(constB64)) <=> v104(constB64)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6709, 6695, 474])).
% 8.02/5.60 tff(6711,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6712,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6713,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6712, 6711])).
% 8.02/5.60 tff(6714,plain,
% 8.02/5.60 (v104(constB64) <=> v1(constB63)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6713, 6695, 488])).
% 8.02/5.60 tff(6715,plain,
% 8.02/5.60 ((~v1(constB63)) <=> (~v1(constB63))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6716,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63')).
% 8.02/5.60 tff(6717,plain,
% 8.02/5.60 (~v1(constB63)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6716, 6715])).
% 8.02/5.60 tff(6718,plain,
% 8.02/5.60 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64)) | v1(constB63)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6719,plain,
% 8.02/5.60 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6718, 6717])).
% 8.02/5.60 tff(6720,plain,
% 8.02/5.60 (~v104(constB64)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6719, 6714])).
% 8.02/5.60 tff(6721,plain,
% 8.02/5.60 ((~((~v102(constB64)) <=> v104(constB64))) | v102(constB64) | v104(constB64)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6722,plain,
% 8.02/5.60 (v102(constB64)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6721, 6720, 6710])).
% 8.02/5.60 tff(6723,plain,
% 8.02/5.60 (v1(constB64) <=> v1(constB64)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6724,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64')).
% 8.02/5.60 tff(6725,plain,
% 8.02/5.60 (v1(constB64)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 8.02/5.60 tff(6726,plain,
% 8.02/5.60 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v1(constB64)) | (~v102(constB64))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6727,plain,
% 8.02/5.60 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v102(constB64))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6726, 6725])).
% 8.02/5.60 tff(6728,plain,
% 8.02/5.60 (~((~v1(constB64)) | (~v102(constB64)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6727, 6722])).
% 8.02/5.60 tff(6729,plain,
% 8.02/5.60 ((~(v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))) | v101(constB64) | ((~v1(constB64)) | (~v102(constB64)))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6730,plain,
% 8.02/5.60 (v101(constB64)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6729, 6728, 6706])).
% 8.02/5.60 tff(6731,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6732,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6733,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6732, 6731])).
% 8.02/5.60 tff(6734,plain,
% 8.02/5.60 (v110(constB64) <=> v108(constB63)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6733, 6695, 518])).
% 8.02/5.60 tff(6735,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB63) <=> (v111(constB63) | v112(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6736,plain,
% 8.02/5.60 (v108(constB63) <=> (v111(constB63) | v112(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6735, 529])).
% 8.02/5.60 tff(6737,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6738,plain,
% 8.02/5.60 (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6737, 541])).
% 8.02/5.60 tff(6739,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB63) <=> (v114(constB63) | v125(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6740,plain,
% 8.02/5.60 (v113(constB63) <=> (v114(constB63) | v125(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6739, 550])).
% 8.02/5.60 tff(6741,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB63) <=> (v115(constB63) | v124(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6742,plain,
% 8.02/5.60 (v114(constB63) <=> (v115(constB63) | v124(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6741, 559])).
% 8.02/5.60 tff(6743,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB63) <=> (v116(constB63) | v123(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6744,plain,
% 8.02/5.60 (v115(constB63) <=> (v116(constB63) | v123(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6743, 568])).
% 8.02/5.60 tff(6745,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB63) <=> (v117(constB63) | v122(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6746,plain,
% 8.02/5.60 (v116(constB63) <=> (v117(constB63) | v122(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6745, 577])).
% 8.02/5.60 tff(6747,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB63) <=> (v118(constB63) | v121(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6748,plain,
% 8.02/5.60 (v117(constB63) <=> (v118(constB63) | v121(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6747, 586])).
% 8.02/5.60 tff(6749,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB63) <=> (v119(constB63) | v120(constB63)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6750,plain,
% 8.02/5.60 (v118(constB63) <=> (v119(constB63) | v120(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6749, 595])).
% 8.02/5.60 tff(6751,plain,
% 8.02/5.60 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6752,plain,
% 8.02/5.60 ((v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0))))) <=> (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6753,plain,
% 8.02/5.60 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[6752])).
% 8.02/5.60 tff(6754,plain,
% 8.02/5.60 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0))))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[6753, 6751])).
% 8.02/5.60 tff(6755,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6756,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6755, 6754])).
% 8.02/5.60 tff(6757,plain,
% 8.02/5.60 (v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6756, 610])).
% 8.02/5.60 tff(6758,plain,
% 8.02/5.60 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6759,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62')).
% 8.02/5.60 tff(6760,plain,
% 8.02/5.60 (nextState(constB62, constB63)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6759, 6758])).
% 8.02/5.60 tff(6761,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6762,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6763,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 8.02/5.60 tff(6764,plain,
% 8.02/5.60 (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6763, 6760, 392])).
% 8.02/5.60 tff(6765,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6766,plain,
% 8.02/5.60 (((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6767,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[6766])).
% 8.02/5.60 tff(6768,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[6767, 6765])).
% 8.02/5.60 tff(6769,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6770,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6769, 6768])).
% 8.02/5.60 tff(6771,plain,
% 8.02/5.60 (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6770, 6760, 412])).
% 8.02/5.60 tff(6772,plain,
% 8.02/5.60 (((~v1(constB63)) | (~v102(constB63))) | v1(constB63)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6773,plain,
% 8.02/5.60 ((~v1(constB63)) | (~v102(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6772, 6717])).
% 8.02/5.60 tff(6774,plain,
% 8.02/5.60 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63)) | (~((~v1(constB63)) | (~v102(constB63))))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6775,plain,
% 8.02/5.60 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6774, 6773])).
% 8.02/5.60 tff(6776,plain,
% 8.02/5.60 (~v101(constB63)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6775, 6771])).
% 8.02/5.60 tff(6777,plain,
% 8.02/5.60 (((~v101(constB63)) | (~v110(constB63))) | v101(constB63)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6778,plain,
% 8.02/5.60 ((~v101(constB63)) | (~v110(constB63))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6777, 6776])).
% 8.02/5.60 tff(6779,plain,
% 8.02/5.60 ((~(v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))) | (~v100(constB63)) | (~((~v101(constB63)) | (~v110(constB63))))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(6780,plain,
% 8.02/5.60 (~v100(constB63)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6779, 6778, 6764])).
% 8.02/5.60 tff(6781,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6782,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6783,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 8.02/5.60 tff(6784,plain,
% 8.02/5.60 (v100(constB63) | ![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6783, 6760, 441])).
% 8.02/5.60 tff(6785,plain,
% 8.02/5.60 (![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6784, 6780])).
% 8.02/5.60 tff(6786,plain,
% 8.02/5.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6787,plain,
% 8.02/5.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6788,plain,
% 8.02/5.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6787, 6786])).
% 8.02/5.60 tff(6789,plain,
% 8.02/5.60 (v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6788, 648, 6785])).
% 8.02/5.60 tff(6790,plain,
% 8.02/5.60 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6791,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61')).
% 8.02/5.60 tff(6792,plain,
% 8.02/5.60 (nextState(constB61, constB62)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6791, 6790])).
% 8.02/5.60 tff(6793,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6794,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(6795,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 8.02/5.60 tff(6796,plain,
% 8.02/5.60 (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[6795, 6792, 392])).
% 8.02/5.60 tff(6797,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6798,plain,
% 8.02/5.60 (((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(6799,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[6798])).
% 8.02/5.60 tff(6800,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[6799, 6797])).
% 8.02/5.60 tff(6801,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6802,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 8.02/5.61 tff(6803,plain,
% 8.02/5.61 (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6802, 6792, 412])).
% 8.02/5.61 tff(6804,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6805,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6806,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 8.02/5.61 tff(6807,plain,
% 8.02/5.61 ((~v102(constB62)) <=> v104(constB62)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6806, 6792, 474])).
% 8.02/5.61 tff(6808,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6809,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6810,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 8.02/5.61 tff(6811,plain,
% 8.02/5.61 (v104(constB62) <=> v1(constB61)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6810, 6792, 488])).
% 8.02/5.61 tff(6812,plain,
% 8.02/5.61 ((~v1(constB61)) <=> (~v1(constB61))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6813,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61')).
% 8.02/5.61 tff(6814,plain,
% 8.02/5.61 (~v1(constB61)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6813, 6812])).
% 8.02/5.61 tff(6815,plain,
% 8.02/5.61 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62)) | v1(constB61)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6816,plain,
% 8.02/5.61 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6815, 6814])).
% 8.02/5.61 tff(6817,plain,
% 8.02/5.61 (~v104(constB62)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6816, 6811])).
% 8.02/5.61 tff(6818,plain,
% 8.02/5.61 ((~((~v102(constB62)) <=> v104(constB62))) | v102(constB62) | v104(constB62)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6819,plain,
% 8.02/5.61 (v102(constB62)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6818, 6817, 6807])).
% 8.02/5.61 tff(6820,plain,
% 8.02/5.61 (v1(constB62) <=> v1(constB62)),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6821,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62')).
% 8.02/5.61 tff(6822,plain,
% 8.02/5.61 (v1(constB62)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6821, 6820])).
% 8.02/5.61 tff(6823,plain,
% 8.02/5.61 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v1(constB62)) | (~v102(constB62))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6824,plain,
% 8.02/5.61 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v102(constB62))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6823, 6822])).
% 8.02/5.61 tff(6825,plain,
% 8.02/5.61 (~((~v1(constB62)) | (~v102(constB62)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6824, 6819])).
% 8.02/5.61 tff(6826,plain,
% 8.02/5.61 ((~(v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))) | v101(constB62) | ((~v1(constB62)) | (~v102(constB62)))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6827,plain,
% 8.02/5.61 (v101(constB62)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6826, 6825, 6803])).
% 8.02/5.61 tff(6828,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6829,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6830,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 8.02/5.61 tff(6831,plain,
% 8.02/5.61 (v110(constB62) <=> v108(constB61)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6830, 6792, 518])).
% 8.02/5.61 tff(6832,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB61) <=> (v111(constB61) | v112(constB61)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6833,plain,
% 8.02/5.61 (v108(constB61) <=> (v111(constB61) | v112(constB61))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6832, 529])).
% 8.02/5.61 tff(6834,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6835,plain,
% 8.02/5.61 (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6834, 541])).
% 8.02/5.61 tff(6836,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB61) <=> (v114(constB61) | v125(constB61)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6837,plain,
% 8.02/5.61 (v113(constB61) <=> (v114(constB61) | v125(constB61))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6836, 550])).
% 8.02/5.61 tff(6838,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6839,plain,
% 8.02/5.61 ((v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2))))) <=> (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6840,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))))),
% 8.02/5.61 inference(monotonicity,[status(thm)],[6839])).
% 8.02/5.61 tff(6841,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[6840, 6838])).
% 8.02/5.61 tff(6842,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6843,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 8.02/5.61 tff(6844,plain,
% 8.02/5.61 (v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6843, 713])).
% 8.02/5.61 tff(6845,plain,
% 8.02/5.61 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6846,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60')).
% 8.02/5.61 tff(6847,plain,
% 8.02/5.61 (nextState(constB60, constB61)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 8.02/5.61 tff(6848,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6849,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6850,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6849, 6848])).
% 8.02/5.61 tff(6851,plain,
% 8.02/5.61 (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6850, 6847, 392])).
% 8.02/5.61 tff(6852,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6853,plain,
% 8.02/5.61 (((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6854,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))))),
% 8.02/5.61 inference(monotonicity,[status(thm)],[6853])).
% 8.02/5.61 tff(6855,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[6854, 6852])).
% 8.02/5.61 tff(6856,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6857,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6856, 6855])).
% 8.02/5.61 tff(6858,plain,
% 8.02/5.61 (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6857, 6847, 412])).
% 8.02/5.61 tff(6859,plain,
% 8.02/5.61 (((~v1(constB61)) | (~v102(constB61))) | v1(constB61)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6860,plain,
% 8.02/5.61 ((~v1(constB61)) | (~v102(constB61))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6859, 6814])).
% 8.02/5.61 tff(6861,plain,
% 8.02/5.61 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61)) | (~((~v1(constB61)) | (~v102(constB61))))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6862,plain,
% 8.02/5.61 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6861, 6860])).
% 8.02/5.61 tff(6863,plain,
% 8.02/5.61 (~v101(constB61)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6862, 6858])).
% 8.02/5.61 tff(6864,plain,
% 8.02/5.61 (((~v101(constB61)) | (~v110(constB61))) | v101(constB61)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6865,plain,
% 8.02/5.61 ((~v101(constB61)) | (~v110(constB61))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6864, 6863])).
% 8.02/5.61 tff(6866,plain,
% 8.02/5.61 ((~(v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))) | (~v100(constB61)) | (~((~v101(constB61)) | (~v110(constB61))))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6867,plain,
% 8.02/5.61 (~v100(constB61)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6866, 6865, 6851])).
% 8.02/5.61 tff(6868,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6869,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6870,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 8.02/5.61 tff(6871,plain,
% 8.02/5.61 (v100(constB61) | ![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6870, 6847, 441])).
% 8.02/5.61 tff(6872,plain,
% 8.02/5.61 (![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6871, 6867])).
% 8.02/5.61 tff(6873,plain,
% 8.02/5.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6874,plain,
% 8.02/5.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6875,plain,
% 8.02/5.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6874, 6873])).
% 8.02/5.61 tff(6876,plain,
% 8.02/5.61 (v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6875, 648, 6872])).
% 8.02/5.61 tff(6877,plain,
% 8.02/5.61 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6878,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59')).
% 8.02/5.61 tff(6879,plain,
% 8.02/5.61 (nextState(constB59, constB60)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6878, 6877])).
% 8.02/5.61 tff(6880,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6881,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6882,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 8.02/5.61 tff(6883,plain,
% 8.02/5.61 (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6882, 6879, 392])).
% 8.02/5.61 tff(6884,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6885,plain,
% 8.02/5.61 (((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6886,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))))),
% 8.02/5.61 inference(monotonicity,[status(thm)],[6885])).
% 8.02/5.61 tff(6887,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[6886, 6884])).
% 8.02/5.61 tff(6888,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6889,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6888, 6887])).
% 8.02/5.61 tff(6890,plain,
% 8.02/5.61 (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6889, 6879, 412])).
% 8.02/5.61 tff(6891,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6892,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6893,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 8.02/5.61 tff(6894,plain,
% 8.02/5.61 ((~v102(constB60)) <=> v104(constB60)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6893, 6879, 474])).
% 8.02/5.61 tff(6895,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6896,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6897,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 8.02/5.61 tff(6898,plain,
% 8.02/5.61 (v104(constB60) <=> v1(constB59)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6897, 6879, 488])).
% 8.02/5.61 tff(6899,plain,
% 8.02/5.61 ((~v1(constB59)) <=> (~v1(constB59))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6900,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59')).
% 8.02/5.61 tff(6901,plain,
% 8.02/5.61 (~v1(constB59)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6900, 6899])).
% 8.02/5.61 tff(6902,plain,
% 8.02/5.61 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60)) | v1(constB59)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6903,plain,
% 8.02/5.61 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6902, 6901])).
% 8.02/5.61 tff(6904,plain,
% 8.02/5.61 (~v104(constB60)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6903, 6898])).
% 8.02/5.61 tff(6905,plain,
% 8.02/5.61 ((~((~v102(constB60)) <=> v104(constB60))) | v102(constB60) | v104(constB60)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6906,plain,
% 8.02/5.61 (v102(constB60)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6905, 6904, 6894])).
% 8.02/5.61 tff(6907,plain,
% 8.02/5.61 (v1(constB60) <=> v1(constB60)),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6908,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60')).
% 8.02/5.61 tff(6909,plain,
% 8.02/5.61 (v1(constB60)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6908, 6907])).
% 8.02/5.61 tff(6910,plain,
% 8.02/5.61 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v1(constB60)) | (~v102(constB60))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6911,plain,
% 8.02/5.61 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v102(constB60))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6910, 6909])).
% 8.02/5.61 tff(6912,plain,
% 8.02/5.61 (~((~v1(constB60)) | (~v102(constB60)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6911, 6906])).
% 8.02/5.61 tff(6913,plain,
% 8.02/5.61 ((~(v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))) | v101(constB60) | ((~v1(constB60)) | (~v102(constB60)))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6914,plain,
% 8.02/5.61 (v101(constB60)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6913, 6912, 6890])).
% 8.02/5.61 tff(6915,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6916,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6917,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 8.02/5.61 tff(6918,plain,
% 8.02/5.61 (v110(constB60) <=> v108(constB59)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6917, 6879, 518])).
% 8.02/5.61 tff(6919,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB59) <=> (v111(constB59) | v112(constB59)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6920,plain,
% 8.02/5.61 (v108(constB59) <=> (v111(constB59) | v112(constB59))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6919, 529])).
% 8.02/5.61 tff(6921,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6922,plain,
% 8.02/5.61 (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6921, 541])).
% 8.02/5.61 tff(6923,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB59) <=> (v114(constB59) | v125(constB59)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6924,plain,
% 8.02/5.61 (v113(constB59) <=> (v114(constB59) | v125(constB59))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6923, 550])).
% 8.02/5.61 tff(6925,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB59) <=> (v115(constB59) | v124(constB59)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6926,plain,
% 8.02/5.61 (v114(constB59) <=> (v115(constB59) | v124(constB59))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6925, 559])).
% 8.02/5.61 tff(6927,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6928,plain,
% 8.02/5.61 ((v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2))))) <=> (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6929,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0))))))),
% 8.02/5.61 inference(monotonicity,[status(thm)],[6928])).
% 8.02/5.61 tff(6930,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0))))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[6929, 6927])).
% 8.02/5.61 tff(6931,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2)))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6932,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6931, 6930])).
% 8.02/5.61 tff(6933,plain,
% 8.02/5.61 (v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6932, 815])).
% 8.02/5.61 tff(6934,plain,
% 8.02/5.61 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6935,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58')).
% 8.02/5.61 tff(6936,plain,
% 8.02/5.61 (nextState(constB58, constB59)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 8.02/5.61 tff(6937,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6938,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6939,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6938, 6937])).
% 8.02/5.61 tff(6940,plain,
% 8.02/5.61 (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6939, 6936, 392])).
% 8.02/5.61 tff(6941,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6942,plain,
% 8.02/5.61 (((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(6943,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))))),
% 8.02/5.61 inference(monotonicity,[status(thm)],[6942])).
% 8.02/5.61 tff(6944,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[6943, 6941])).
% 8.02/5.61 tff(6945,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(6946,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 8.02/5.61 tff(6947,plain,
% 8.02/5.61 (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6946, 6936, 412])).
% 8.02/5.61 tff(6948,plain,
% 8.02/5.61 (((~v1(constB59)) | (~v102(constB59))) | v1(constB59)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6949,plain,
% 8.02/5.61 ((~v1(constB59)) | (~v102(constB59))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6948, 6901])).
% 8.02/5.61 tff(6950,plain,
% 8.02/5.61 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59)) | (~((~v1(constB59)) | (~v102(constB59))))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6951,plain,
% 8.02/5.61 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6950, 6949])).
% 8.02/5.61 tff(6952,plain,
% 8.02/5.61 (~v101(constB59)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6951, 6947])).
% 8.02/5.61 tff(6953,plain,
% 8.02/5.61 (((~v101(constB59)) | (~v110(constB59))) | v101(constB59)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6954,plain,
% 8.02/5.61 ((~v101(constB59)) | (~v110(constB59))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6953, 6952])).
% 8.02/5.61 tff(6955,plain,
% 8.02/5.61 ((~(v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))) | (~v100(constB59)) | (~((~v101(constB59)) | (~v110(constB59))))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(6956,plain,
% 8.02/5.61 (~v100(constB59)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[6955, 6954, 6940])).
% 8.02/5.61 tff(6957,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6958,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(6959,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6958, 6957])).
% 8.02/5.62 tff(6960,plain,
% 8.02/5.62 (v100(constB59) | ![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6959, 6936, 441])).
% 8.02/5.62 tff(6961,plain,
% 8.02/5.62 (![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6960, 6956])).
% 8.02/5.62 tff(6962,plain,
% 8.02/5.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6963,plain,
% 8.02/5.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(6964,plain,
% 8.02/5.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 8.02/5.62 tff(6965,plain,
% 8.02/5.62 (v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6964, 648, 6961])).
% 8.02/5.62 tff(6966,plain,
% 8.02/5.62 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6967,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57')).
% 8.02/5.62 tff(6968,plain,
% 8.02/5.62 (nextState(constB57, constB58)),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6967, 6966])).
% 8.02/5.62 tff(6969,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6970,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(6971,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 8.02/5.62 tff(6972,plain,
% 8.02/5.62 (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6971, 6968, 392])).
% 8.02/5.62 tff(6973,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6974,plain,
% 8.02/5.62 (((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6975,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))))),
% 8.02/5.62 inference(monotonicity,[status(thm)],[6974])).
% 8.02/5.62 tff(6976,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 8.02/5.62 inference(transitivity,[status(thm)],[6975, 6973])).
% 8.02/5.62 tff(6977,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(6978,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6977, 6976])).
% 8.02/5.62 tff(6979,plain,
% 8.02/5.62 (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6978, 6968, 412])).
% 8.02/5.62 tff(6980,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6981,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(6982,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6981, 6980])).
% 8.02/5.62 tff(6983,plain,
% 8.02/5.62 ((~v102(constB58)) <=> v104(constB58)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6982, 6968, 474])).
% 8.02/5.62 tff(6984,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6985,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(6986,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6985, 6984])).
% 8.02/5.62 tff(6987,plain,
% 8.02/5.62 (v104(constB58) <=> v1(constB57)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6986, 6968, 488])).
% 8.02/5.62 tff(6988,plain,
% 8.02/5.62 ((~v1(constB57)) <=> (~v1(constB57))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6989,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57')).
% 8.02/5.62 tff(6990,plain,
% 8.02/5.62 (~v1(constB57)),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6989, 6988])).
% 8.02/5.62 tff(6991,plain,
% 8.02/5.62 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58)) | v1(constB57)),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(6992,plain,
% 8.02/5.62 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6991, 6990])).
% 8.02/5.62 tff(6993,plain,
% 8.02/5.62 (~v104(constB58)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6992, 6987])).
% 8.02/5.62 tff(6994,plain,
% 8.02/5.62 ((~((~v102(constB58)) <=> v104(constB58))) | v102(constB58) | v104(constB58)),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(6995,plain,
% 8.02/5.62 (v102(constB58)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6994, 6993, 6983])).
% 8.02/5.62 tff(6996,plain,
% 8.02/5.62 (v1(constB58) <=> v1(constB58)),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(6997,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58')).
% 8.02/5.62 tff(6998,plain,
% 8.02/5.62 (v1(constB58)),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[6997, 6996])).
% 8.02/5.62 tff(6999,plain,
% 8.02/5.62 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v1(constB58)) | (~v102(constB58))),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7000,plain,
% 8.02/5.62 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v102(constB58))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[6999, 6998])).
% 8.02/5.62 tff(7001,plain,
% 8.02/5.62 (~((~v1(constB58)) | (~v102(constB58)))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7000, 6995])).
% 8.02/5.62 tff(7002,plain,
% 8.02/5.62 ((~(v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))) | v101(constB58) | ((~v1(constB58)) | (~v102(constB58)))),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7003,plain,
% 8.02/5.62 (v101(constB58)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7002, 7001, 6979])).
% 8.02/5.62 tff(7004,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7005,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7006,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7005, 7004])).
% 8.02/5.62 tff(7007,plain,
% 8.02/5.62 (v110(constB58) <=> v108(constB57)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7006, 6968, 518])).
% 8.02/5.62 tff(7008,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB57) <=> (v111(constB57) | v112(constB57)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7009,plain,
% 8.02/5.62 (v108(constB57) <=> (v111(constB57) | v112(constB57))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7008, 529])).
% 8.02/5.62 tff(7010,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7011,plain,
% 8.02/5.62 (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57))))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7010, 541])).
% 8.02/5.62 tff(7012,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB57) <=> (v114(constB57) | v125(constB57)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7013,plain,
% 8.02/5.62 (v113(constB57) <=> (v114(constB57) | v125(constB57))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7012, 550])).
% 8.02/5.62 tff(7014,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB57) <=> (v115(constB57) | v124(constB57)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7015,plain,
% 8.02/5.62 (v114(constB57) <=> (v115(constB57) | v124(constB57))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7014, 559])).
% 8.02/5.62 tff(7016,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB57) <=> (v116(constB57) | v123(constB57)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7017,plain,
% 8.02/5.62 (v115(constB57) <=> (v116(constB57) | v123(constB57))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7016, 568])).
% 8.02/5.62 tff(7018,plain,
% 8.02/5.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0)))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7019,plain,
% 8.02/5.62 ((v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2))))) <=> (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7020,plain,
% 8.02/5.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0)))))),
% 8.02/5.62 inference(monotonicity,[status(thm)],[7019])).
% 8.02/5.62 tff(7021,plain,
% 8.02/5.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0)))))),
% 8.02/5.62 inference(transitivity,[status(thm)],[7020, 7018])).
% 8.02/5.62 tff(7022,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7023,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 8.02/5.62 tff(7024,plain,
% 8.02/5.62 (v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0)))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7023, 919])).
% 8.02/5.62 tff(7025,plain,
% 8.02/5.62 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7026,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56')).
% 8.02/5.62 tff(7027,plain,
% 8.02/5.62 (nextState(constB56, constB57)),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7026, 7025])).
% 8.02/5.62 tff(7028,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7029,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7030,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7029, 7028])).
% 8.02/5.62 tff(7031,plain,
% 8.02/5.62 (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7030, 7027, 392])).
% 8.02/5.62 tff(7032,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7033,plain,
% 8.02/5.62 (((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7034,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))))),
% 8.02/5.62 inference(monotonicity,[status(thm)],[7033])).
% 8.02/5.62 tff(7035,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 8.02/5.62 inference(transitivity,[status(thm)],[7034, 7032])).
% 8.02/5.62 tff(7036,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7037,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7036, 7035])).
% 8.02/5.62 tff(7038,plain,
% 8.02/5.62 (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7037, 7027, 412])).
% 8.02/5.62 tff(7039,plain,
% 8.02/5.62 (((~v1(constB57)) | (~v102(constB57))) | v1(constB57)),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7040,plain,
% 8.02/5.62 ((~v1(constB57)) | (~v102(constB57))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7039, 6990])).
% 8.02/5.62 tff(7041,plain,
% 8.02/5.62 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57)) | (~((~v1(constB57)) | (~v102(constB57))))),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7042,plain,
% 8.02/5.62 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7041, 7040])).
% 8.02/5.62 tff(7043,plain,
% 8.02/5.62 (~v101(constB57)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7042, 7038])).
% 8.02/5.62 tff(7044,plain,
% 8.02/5.62 (((~v101(constB57)) | (~v110(constB57))) | v101(constB57)),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7045,plain,
% 8.02/5.62 ((~v101(constB57)) | (~v110(constB57))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7044, 7043])).
% 8.02/5.62 tff(7046,plain,
% 8.02/5.62 ((~(v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))) | (~v100(constB57)) | (~((~v101(constB57)) | (~v110(constB57))))),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7047,plain,
% 8.02/5.62 (~v100(constB57)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7046, 7045, 7031])).
% 8.02/5.62 tff(7048,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7049,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7050,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7049, 7048])).
% 8.02/5.62 tff(7051,plain,
% 8.02/5.62 (v100(constB57) | ![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7050, 7027, 441])).
% 8.02/5.62 tff(7052,plain,
% 8.02/5.62 (![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7051, 7047])).
% 8.02/5.62 tff(7053,plain,
% 8.02/5.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7054,plain,
% 8.02/5.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7055,plain,
% 8.02/5.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 8.02/5.62 tff(7056,plain,
% 8.02/5.62 (v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7055, 648, 7052])).
% 8.02/5.62 tff(7057,plain,
% 8.02/5.62 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7058,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55')).
% 8.02/5.62 tff(7059,plain,
% 8.02/5.62 (nextState(constB55, constB56)),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7058, 7057])).
% 8.02/5.62 tff(7060,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7061,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7062,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7061, 7060])).
% 8.02/5.62 tff(7063,plain,
% 8.02/5.62 (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7062, 7059, 392])).
% 8.02/5.62 tff(7064,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7065,plain,
% 8.02/5.62 (((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7066,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))))),
% 8.02/5.62 inference(monotonicity,[status(thm)],[7065])).
% 8.02/5.62 tff(7067,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 8.02/5.62 inference(transitivity,[status(thm)],[7066, 7064])).
% 8.02/5.62 tff(7068,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7069,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 8.02/5.62 tff(7070,plain,
% 8.02/5.62 (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7069, 7059, 412])).
% 8.02/5.62 tff(7071,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7072,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7073,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 8.02/5.62 tff(7074,plain,
% 8.02/5.62 ((~v102(constB56)) <=> v104(constB56)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7073, 7059, 474])).
% 8.02/5.62 tff(7075,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7076,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7077,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 8.02/5.62 tff(7078,plain,
% 8.02/5.62 (v104(constB56) <=> v1(constB55)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7077, 7059, 488])).
% 8.02/5.62 tff(7079,plain,
% 8.02/5.62 ((~v1(constB55)) <=> (~v1(constB55))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7080,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55')).
% 8.02/5.62 tff(7081,plain,
% 8.02/5.62 (~v1(constB55)),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 8.02/5.62 tff(7082,plain,
% 8.02/5.62 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56)) | v1(constB55)),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7083,plain,
% 8.02/5.62 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7082, 7081])).
% 8.02/5.62 tff(7084,plain,
% 8.02/5.62 (~v104(constB56)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7083, 7078])).
% 8.02/5.62 tff(7085,plain,
% 8.02/5.62 ((~((~v102(constB56)) <=> v104(constB56))) | v102(constB56) | v104(constB56)),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7086,plain,
% 8.02/5.62 (v102(constB56)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7085, 7084, 7074])).
% 8.02/5.62 tff(7087,plain,
% 8.02/5.62 (v1(constB56) <=> v1(constB56)),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7088,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56')).
% 8.02/5.62 tff(7089,plain,
% 8.02/5.62 (v1(constB56)),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7088, 7087])).
% 8.02/5.62 tff(7090,plain,
% 8.02/5.62 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v1(constB56)) | (~v102(constB56))),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7091,plain,
% 8.02/5.62 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v102(constB56))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7090, 7089])).
% 8.02/5.62 tff(7092,plain,
% 8.02/5.62 (~((~v1(constB56)) | (~v102(constB56)))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7091, 7086])).
% 8.02/5.62 tff(7093,plain,
% 8.02/5.62 ((~(v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))) | v101(constB56) | ((~v1(constB56)) | (~v102(constB56)))),
% 8.02/5.62 inference(tautology,[status(thm)],[])).
% 8.02/5.62 tff(7094,plain,
% 8.02/5.62 (v101(constB56)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7093, 7092, 7070])).
% 8.02/5.62 tff(7095,plain,
% 8.02/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7096,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7097,plain,
% 8.02/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55))),
% 8.02/5.62 inference(modus_ponens,[status(thm)],[7096, 7095])).
% 8.02/5.62 tff(7098,plain,
% 8.02/5.62 (v110(constB56) <=> v108(constB55)),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7097, 7059, 518])).
% 8.02/5.62 tff(7099,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB55) <=> (v111(constB55) | v112(constB55)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7100,plain,
% 8.02/5.62 (v108(constB55) <=> (v111(constB55) | v112(constB55))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7099, 529])).
% 8.02/5.62 tff(7101,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7102,plain,
% 8.02/5.62 (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55))))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7101, 541])).
% 8.02/5.62 tff(7103,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB55) <=> (v114(constB55) | v125(constB55)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7104,plain,
% 8.02/5.62 (v113(constB55) <=> (v114(constB55) | v125(constB55))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7103, 550])).
% 8.02/5.62 tff(7105,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB55) <=> (v115(constB55) | v124(constB55)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7106,plain,
% 8.02/5.62 (v114(constB55) <=> (v115(constB55) | v124(constB55))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7105, 559])).
% 8.02/5.62 tff(7107,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB55) <=> (v116(constB55) | v123(constB55)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7108,plain,
% 8.02/5.62 (v115(constB55) <=> (v116(constB55) | v123(constB55))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7107, 568])).
% 8.02/5.62 tff(7109,plain,
% 8.02/5.62 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB55) <=> (v117(constB55) | v122(constB55)))),
% 8.02/5.62 inference(quant_inst,[status(thm)],[])).
% 8.02/5.62 tff(7110,plain,
% 8.02/5.62 (v116(constB55) <=> (v117(constB55) | v122(constB55))),
% 8.02/5.62 inference(unit_resolution,[status(thm)],[7109, 577])).
% 8.02/5.62 tff(7111,plain,
% 8.02/5.62 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7112,plain,
% 8.02/5.62 ((v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1))))) <=> (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 8.02/5.62 inference(rewrite,[status(thm)],[])).
% 8.02/5.62 tff(7113,plain,
% 8.02/5.62 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 8.02/5.63 inference(monotonicity,[status(thm)],[7112])).
% 8.02/5.63 tff(7114,plain,
% 8.02/5.63 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 8.02/5.63 inference(transitivity,[status(thm)],[7113, 7111])).
% 8.02/5.63 tff(7115,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7116,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 8.02/5.63 tff(7117,plain,
% 8.02/5.63 (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7116, 1025])).
% 8.02/5.63 tff(7118,plain,
% 8.02/5.63 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7119,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54')).
% 8.02/5.63 tff(7120,plain,
% 8.02/5.63 (nextState(constB54, constB55)),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 8.02/5.63 tff(7121,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7122,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7123,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7122, 7121])).
% 8.02/5.63 tff(7124,plain,
% 8.02/5.63 (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7123, 7120, 392])).
% 8.02/5.63 tff(7125,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7126,plain,
% 8.02/5.63 (((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7127,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))))),
% 8.02/5.63 inference(monotonicity,[status(thm)],[7126])).
% 8.02/5.63 tff(7128,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 8.02/5.63 inference(transitivity,[status(thm)],[7127, 7125])).
% 8.02/5.63 tff(7129,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7130,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7129, 7128])).
% 8.02/5.63 tff(7131,plain,
% 8.02/5.63 (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7130, 7120, 412])).
% 8.02/5.63 tff(7132,plain,
% 8.02/5.63 (((~v1(constB55)) | (~v102(constB55))) | v1(constB55)),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7133,plain,
% 8.02/5.63 ((~v1(constB55)) | (~v102(constB55))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7132, 7081])).
% 8.02/5.63 tff(7134,plain,
% 8.02/5.63 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55)) | (~((~v1(constB55)) | (~v102(constB55))))),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7135,plain,
% 8.02/5.63 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7134, 7133])).
% 8.02/5.63 tff(7136,plain,
% 8.02/5.63 (~v101(constB55)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7135, 7131])).
% 8.02/5.63 tff(7137,plain,
% 8.02/5.63 (((~v101(constB55)) | (~v110(constB55))) | v101(constB55)),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7138,plain,
% 8.02/5.63 ((~v101(constB55)) | (~v110(constB55))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7137, 7136])).
% 8.02/5.63 tff(7139,plain,
% 8.02/5.63 ((~(v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))) | (~v100(constB55)) | (~((~v101(constB55)) | (~v110(constB55))))),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7140,plain,
% 8.02/5.63 (~v100(constB55)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7139, 7138, 7124])).
% 8.02/5.63 tff(7141,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7142,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7143,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7142, 7141])).
% 8.02/5.63 tff(7144,plain,
% 8.02/5.63 (v100(constB55) | ![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7143, 7120, 441])).
% 8.02/5.63 tff(7145,plain,
% 8.02/5.63 (![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7144, 7140])).
% 8.02/5.63 tff(7146,plain,
% 8.02/5.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7147,plain,
% 8.02/5.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7148,plain,
% 8.02/5.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7147, 7146])).
% 8.02/5.63 tff(7149,plain,
% 8.02/5.63 (v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7148, 648, 7145])).
% 8.02/5.63 tff(7150,plain,
% 8.02/5.63 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7151,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53')).
% 8.02/5.63 tff(7152,plain,
% 8.02/5.63 (nextState(constB53, constB54)),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 8.02/5.63 tff(7153,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7154,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7155,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 8.02/5.63 tff(7156,plain,
% 8.02/5.63 (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7155, 7152, 392])).
% 8.02/5.63 tff(7157,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7158,plain,
% 8.02/5.63 (((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7159,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))))),
% 8.02/5.63 inference(monotonicity,[status(thm)],[7158])).
% 8.02/5.63 tff(7160,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 8.02/5.63 inference(transitivity,[status(thm)],[7159, 7157])).
% 8.02/5.63 tff(7161,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7162,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7161, 7160])).
% 8.02/5.63 tff(7163,plain,
% 8.02/5.63 (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7162, 7152, 412])).
% 8.02/5.63 tff(7164,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7165,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7166,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7165, 7164])).
% 8.02/5.63 tff(7167,plain,
% 8.02/5.63 ((~v102(constB54)) <=> v104(constB54)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7166, 7152, 474])).
% 8.02/5.63 tff(7168,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7169,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7170,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7169, 7168])).
% 8.02/5.63 tff(7171,plain,
% 8.02/5.63 (v104(constB54) <=> v1(constB53)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7170, 7152, 488])).
% 8.02/5.63 tff(7172,plain,
% 8.02/5.63 ((~v1(constB53)) <=> (~v1(constB53))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7173,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53')).
% 8.02/5.63 tff(7174,plain,
% 8.02/5.63 (~v1(constB53)),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7173, 7172])).
% 8.02/5.63 tff(7175,plain,
% 8.02/5.63 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54)) | v1(constB53)),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7176,plain,
% 8.02/5.63 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7175, 7174])).
% 8.02/5.63 tff(7177,plain,
% 8.02/5.63 (~v104(constB54)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7176, 7171])).
% 8.02/5.63 tff(7178,plain,
% 8.02/5.63 ((~((~v102(constB54)) <=> v104(constB54))) | v102(constB54) | v104(constB54)),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7179,plain,
% 8.02/5.63 (v102(constB54)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7178, 7177, 7167])).
% 8.02/5.63 tff(7180,plain,
% 8.02/5.63 (v1(constB54) <=> v1(constB54)),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7181,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54')).
% 8.02/5.63 tff(7182,plain,
% 8.02/5.63 (v1(constB54)),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7181, 7180])).
% 8.02/5.63 tff(7183,plain,
% 8.02/5.63 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v1(constB54)) | (~v102(constB54))),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7184,plain,
% 8.02/5.63 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v102(constB54))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7183, 7182])).
% 8.02/5.63 tff(7185,plain,
% 8.02/5.63 (~((~v1(constB54)) | (~v102(constB54)))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7184, 7179])).
% 8.02/5.63 tff(7186,plain,
% 8.02/5.63 ((~(v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))) | v101(constB54) | ((~v1(constB54)) | (~v102(constB54)))),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7187,plain,
% 8.02/5.63 (v101(constB54)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7186, 7185, 7163])).
% 8.02/5.63 tff(7188,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7189,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7190,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 8.02/5.63 tff(7191,plain,
% 8.02/5.63 (v110(constB54) <=> v108(constB53)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7190, 7152, 518])).
% 8.02/5.63 tff(7192,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB53) <=> (v111(constB53) | v112(constB53)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7193,plain,
% 8.02/5.63 (v108(constB53) <=> (v111(constB53) | v112(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7192, 529])).
% 8.02/5.63 tff(7194,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7195,plain,
% 8.02/5.63 (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53))))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7194, 541])).
% 8.02/5.63 tff(7196,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB53) <=> (v114(constB53) | v125(constB53)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7197,plain,
% 8.02/5.63 (v113(constB53) <=> (v114(constB53) | v125(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7196, 550])).
% 8.02/5.63 tff(7198,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB53) <=> (v115(constB53) | v124(constB53)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7199,plain,
% 8.02/5.63 (v114(constB53) <=> (v115(constB53) | v124(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7198, 559])).
% 8.02/5.63 tff(7200,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB53) <=> (v116(constB53) | v123(constB53)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7201,plain,
% 8.02/5.63 (v115(constB53) <=> (v116(constB53) | v123(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7200, 568])).
% 8.02/5.63 tff(7202,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB53) <=> (v117(constB53) | v122(constB53)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7203,plain,
% 8.02/5.63 (v116(constB53) <=> (v117(constB53) | v122(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7202, 577])).
% 8.02/5.63 tff(7204,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB53) <=> (v118(constB53) | v121(constB53)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7205,plain,
% 8.02/5.63 (v117(constB53) <=> (v118(constB53) | v121(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7204, 586])).
% 8.02/5.63 tff(7206,plain,
% 8.02/5.63 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0)))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7207,plain,
% 8.02/5.63 ((v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1))))) <=> (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7208,plain,
% 8.02/5.63 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0)))))),
% 8.02/5.63 inference(monotonicity,[status(thm)],[7207])).
% 8.02/5.63 tff(7209,plain,
% 8.02/5.63 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0)))))),
% 8.02/5.63 inference(transitivity,[status(thm)],[7208, 7206])).
% 8.02/5.63 tff(7210,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7211,plain,
% 8.02/5.63 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7210, 7209])).
% 8.02/5.63 tff(7212,plain,
% 8.02/5.63 (v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0)))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7211, 1133])).
% 8.02/5.63 tff(7213,plain,
% 8.02/5.63 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7214,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52')).
% 8.02/5.63 tff(7215,plain,
% 8.02/5.63 (nextState(constB52, constB53)),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 8.02/5.63 tff(7216,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7217,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7218,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 8.02/5.63 tff(7219,plain,
% 8.02/5.63 (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7218, 7215, 392])).
% 8.02/5.63 tff(7220,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7221,plain,
% 8.02/5.63 (((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7222,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))))),
% 8.02/5.63 inference(monotonicity,[status(thm)],[7221])).
% 8.02/5.63 tff(7223,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 8.02/5.63 inference(transitivity,[status(thm)],[7222, 7220])).
% 8.02/5.63 tff(7224,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7225,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7224, 7223])).
% 8.02/5.63 tff(7226,plain,
% 8.02/5.63 (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7225, 7215, 412])).
% 8.02/5.63 tff(7227,plain,
% 8.02/5.63 (((~v1(constB53)) | (~v102(constB53))) | v1(constB53)),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7228,plain,
% 8.02/5.63 ((~v1(constB53)) | (~v102(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7227, 7174])).
% 8.02/5.63 tff(7229,plain,
% 8.02/5.63 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53)) | (~((~v1(constB53)) | (~v102(constB53))))),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7230,plain,
% 8.02/5.63 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7229, 7228])).
% 8.02/5.63 tff(7231,plain,
% 8.02/5.63 (~v101(constB53)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7230, 7226])).
% 8.02/5.63 tff(7232,plain,
% 8.02/5.63 (((~v101(constB53)) | (~v110(constB53))) | v101(constB53)),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7233,plain,
% 8.02/5.63 ((~v101(constB53)) | (~v110(constB53))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7232, 7231])).
% 8.02/5.63 tff(7234,plain,
% 8.02/5.63 ((~(v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))) | (~v100(constB53)) | (~((~v101(constB53)) | (~v110(constB53))))),
% 8.02/5.63 inference(tautology,[status(thm)],[])).
% 8.02/5.63 tff(7235,plain,
% 8.02/5.63 (~v100(constB53)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7234, 7233, 7219])).
% 8.02/5.63 tff(7236,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B))))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7237,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B))))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7238,plain,
% 8.02/5.63 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 8.02/5.63 tff(7239,plain,
% 8.02/5.63 (v100(constB53) | ![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7238, 7215, 441])).
% 8.02/5.63 tff(7240,plain,
% 8.02/5.63 (![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7239, 7235])).
% 8.02/5.63 tff(7241,plain,
% 8.02/5.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)))),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7242,plain,
% 8.02/5.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)))),
% 8.02/5.63 inference(quant_inst,[status(thm)],[])).
% 8.02/5.63 tff(7243,plain,
% 8.02/5.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2))),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 8.02/5.63 tff(7244,plain,
% 8.02/5.63 (v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2)),
% 8.02/5.63 inference(unit_resolution,[status(thm)],[7243, 648, 7240])).
% 8.02/5.63 tff(7245,plain,
% 8.02/5.63 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 8.02/5.63 inference(rewrite,[status(thm)],[])).
% 8.02/5.63 tff(7246,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51')).
% 8.02/5.63 tff(7247,plain,
% 8.02/5.63 (nextState(constB51, constB52)),
% 8.02/5.63 inference(modus_ponens,[status(thm)],[7246, 7245])).
% 8.02/5.63 tff(7248,plain,
% 8.02/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7249,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7250,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7249, 7248])).
% 8.02/5.64 tff(7251,plain,
% 8.02/5.64 (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7250, 7247, 392])).
% 8.02/5.64 tff(7252,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7253,plain,
% 8.02/5.64 (((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7254,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))))),
% 8.02/5.64 inference(monotonicity,[status(thm)],[7253])).
% 8.02/5.64 tff(7255,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 8.02/5.64 inference(transitivity,[status(thm)],[7254, 7252])).
% 8.02/5.64 tff(7256,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7257,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 8.02/5.64 tff(7258,plain,
% 8.02/5.64 (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7257, 7247, 412])).
% 8.02/5.64 tff(7259,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7260,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7261,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7260, 7259])).
% 8.02/5.64 tff(7262,plain,
% 8.02/5.64 ((~v102(constB52)) <=> v104(constB52)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7261, 7247, 474])).
% 8.02/5.64 tff(7263,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7264,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7265,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 8.02/5.64 tff(7266,plain,
% 8.02/5.64 (v104(constB52) <=> v1(constB51)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7265, 7247, 488])).
% 8.02/5.64 tff(7267,plain,
% 8.02/5.64 ((~v1(constB51)) <=> (~v1(constB51))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7268,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51')).
% 8.02/5.64 tff(7269,plain,
% 8.02/5.64 (~v1(constB51)),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 8.02/5.64 tff(7270,plain,
% 8.02/5.64 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52)) | v1(constB51)),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7271,plain,
% 8.02/5.64 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7270, 7269])).
% 8.02/5.64 tff(7272,plain,
% 8.02/5.64 (~v104(constB52)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7271, 7266])).
% 8.02/5.64 tff(7273,plain,
% 8.02/5.64 ((~((~v102(constB52)) <=> v104(constB52))) | v102(constB52) | v104(constB52)),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7274,plain,
% 8.02/5.64 (v102(constB52)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7273, 7272, 7262])).
% 8.02/5.64 tff(7275,plain,
% 8.02/5.64 (v1(constB52) <=> v1(constB52)),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7276,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52')).
% 8.02/5.64 tff(7277,plain,
% 8.02/5.64 (v1(constB52)),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7276, 7275])).
% 8.02/5.64 tff(7278,plain,
% 8.02/5.64 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v1(constB52)) | (~v102(constB52))),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7279,plain,
% 8.02/5.64 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v102(constB52))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7278, 7277])).
% 8.02/5.64 tff(7280,plain,
% 8.02/5.64 (~((~v1(constB52)) | (~v102(constB52)))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7279, 7274])).
% 8.02/5.64 tff(7281,plain,
% 8.02/5.64 ((~(v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))) | v101(constB52) | ((~v1(constB52)) | (~v102(constB52)))),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7282,plain,
% 8.02/5.64 (v101(constB52)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7281, 7280, 7258])).
% 8.02/5.64 tff(7283,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7284,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7285,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7284, 7283])).
% 8.02/5.64 tff(7286,plain,
% 8.02/5.64 (v110(constB52) <=> v108(constB51)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7285, 7247, 518])).
% 8.02/5.64 tff(7287,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB51) <=> (v111(constB51) | v112(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7288,plain,
% 8.02/5.64 (v108(constB51) <=> (v111(constB51) | v112(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7287, 529])).
% 8.02/5.64 tff(7289,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7290,plain,
% 8.02/5.64 (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7289, 541])).
% 8.02/5.64 tff(7291,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB51) <=> (v114(constB51) | v125(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7292,plain,
% 8.02/5.64 (v113(constB51) <=> (v114(constB51) | v125(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7291, 550])).
% 8.02/5.64 tff(7293,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB51) <=> (v115(constB51) | v124(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7294,plain,
% 8.02/5.64 (v114(constB51) <=> (v115(constB51) | v124(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7293, 559])).
% 8.02/5.64 tff(7295,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB51) <=> (v116(constB51) | v123(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7296,plain,
% 8.02/5.64 (v115(constB51) <=> (v116(constB51) | v123(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7295, 568])).
% 8.02/5.64 tff(7297,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB51) <=> (v117(constB51) | v122(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7298,plain,
% 8.02/5.64 (v116(constB51) <=> (v117(constB51) | v122(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7297, 577])).
% 8.02/5.64 tff(7299,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB51) <=> (v118(constB51) | v121(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7300,plain,
% 8.02/5.64 (v117(constB51) <=> (v118(constB51) | v121(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7299, 586])).
% 8.02/5.64 tff(7301,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB51) <=> (v119(constB51) | v120(constB51)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7302,plain,
% 8.02/5.64 (v118(constB51) <=> (v119(constB51) | v120(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7301, 595])).
% 8.02/5.64 tff(7303,plain,
% 8.02/5.64 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7304,plain,
% 8.02/5.64 ((v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0))))) <=> (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7305,plain,
% 8.02/5.64 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0))))))),
% 8.02/5.64 inference(monotonicity,[status(thm)],[7304])).
% 8.02/5.64 tff(7306,plain,
% 8.02/5.64 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0))))))),
% 8.02/5.64 inference(transitivity,[status(thm)],[7305, 7303])).
% 8.02/5.64 tff(7307,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7308,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7307, 7306])).
% 8.02/5.64 tff(7309,plain,
% 8.02/5.64 (v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7308, 610])).
% 8.02/5.64 tff(7310,plain,
% 8.02/5.64 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7311,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50')).
% 8.02/5.64 tff(7312,plain,
% 8.02/5.64 (nextState(constB50, constB51)),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7311, 7310])).
% 8.02/5.64 tff(7313,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7314,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7315,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 8.02/5.64 tff(7316,plain,
% 8.02/5.64 (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7315, 7312, 392])).
% 8.02/5.64 tff(7317,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7318,plain,
% 8.02/5.64 (((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7319,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))))),
% 8.02/5.64 inference(monotonicity,[status(thm)],[7318])).
% 8.02/5.64 tff(7320,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 8.02/5.64 inference(transitivity,[status(thm)],[7319, 7317])).
% 8.02/5.64 tff(7321,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7322,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 8.02/5.64 tff(7323,plain,
% 8.02/5.64 (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7322, 7312, 412])).
% 8.02/5.64 tff(7324,plain,
% 8.02/5.64 (((~v1(constB51)) | (~v102(constB51))) | v1(constB51)),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7325,plain,
% 8.02/5.64 ((~v1(constB51)) | (~v102(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7324, 7269])).
% 8.02/5.64 tff(7326,plain,
% 8.02/5.64 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51)) | (~((~v1(constB51)) | (~v102(constB51))))),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7327,plain,
% 8.02/5.64 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7326, 7325])).
% 8.02/5.64 tff(7328,plain,
% 8.02/5.64 (~v101(constB51)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7327, 7323])).
% 8.02/5.64 tff(7329,plain,
% 8.02/5.64 (((~v101(constB51)) | (~v110(constB51))) | v101(constB51)),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7330,plain,
% 8.02/5.64 ((~v101(constB51)) | (~v110(constB51))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7329, 7328])).
% 8.02/5.64 tff(7331,plain,
% 8.02/5.64 ((~(v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))) | (~v100(constB51)) | (~((~v101(constB51)) | (~v110(constB51))))),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7332,plain,
% 8.02/5.64 (~v100(constB51)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7331, 7330, 7316])).
% 8.02/5.64 tff(7333,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7334,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7335,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7334, 7333])).
% 8.02/5.64 tff(7336,plain,
% 8.02/5.64 (v100(constB51) | ![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7335, 7312, 441])).
% 8.02/5.64 tff(7337,plain,
% 8.02/5.64 (![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7336, 7332])).
% 8.02/5.64 tff(7338,plain,
% 8.02/5.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7339,plain,
% 8.02/5.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7340,plain,
% 8.02/5.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7339, 7338])).
% 8.02/5.64 tff(7341,plain,
% 8.02/5.64 (v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7340, 648, 7337])).
% 8.02/5.64 tff(7342,plain,
% 8.02/5.64 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7343,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49')).
% 8.02/5.64 tff(7344,plain,
% 8.02/5.64 (nextState(constB49, constB50)),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7343, 7342])).
% 8.02/5.64 tff(7345,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7346,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7347,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 8.02/5.64 tff(7348,plain,
% 8.02/5.64 (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7347, 7344, 392])).
% 8.02/5.64 tff(7349,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7350,plain,
% 8.02/5.64 (((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7351,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))))),
% 8.02/5.64 inference(monotonicity,[status(thm)],[7350])).
% 8.02/5.64 tff(7352,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 8.02/5.64 inference(transitivity,[status(thm)],[7351, 7349])).
% 8.02/5.64 tff(7353,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7354,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7353, 7352])).
% 8.02/5.64 tff(7355,plain,
% 8.02/5.64 (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7354, 7344, 412])).
% 8.02/5.64 tff(7356,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7357,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7358,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 8.02/5.64 tff(7359,plain,
% 8.02/5.64 ((~v102(constB50)) <=> v104(constB50)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7358, 7344, 474])).
% 8.02/5.64 tff(7360,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7361,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7362,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7361, 7360])).
% 8.02/5.64 tff(7363,plain,
% 8.02/5.64 (v104(constB50) <=> v1(constB49)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7362, 7344, 488])).
% 8.02/5.64 tff(7364,plain,
% 8.02/5.64 ((~v1(constB49)) <=> (~v1(constB49))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7365,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49')).
% 8.02/5.64 tff(7366,plain,
% 8.02/5.64 (~v1(constB49)),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7365, 7364])).
% 8.02/5.64 tff(7367,plain,
% 8.02/5.64 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50)) | v1(constB49)),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7368,plain,
% 8.02/5.64 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7367, 7366])).
% 8.02/5.64 tff(7369,plain,
% 8.02/5.64 (~v104(constB50)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7368, 7363])).
% 8.02/5.64 tff(7370,plain,
% 8.02/5.64 ((~((~v102(constB50)) <=> v104(constB50))) | v102(constB50) | v104(constB50)),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7371,plain,
% 8.02/5.64 (v102(constB50)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7370, 7369, 7359])).
% 8.02/5.64 tff(7372,plain,
% 8.02/5.64 (v1(constB50) <=> v1(constB50)),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7373,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50')).
% 8.02/5.64 tff(7374,plain,
% 8.02/5.64 (v1(constB50)),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 8.02/5.64 tff(7375,plain,
% 8.02/5.64 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v1(constB50)) | (~v102(constB50))),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7376,plain,
% 8.02/5.64 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v102(constB50))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7375, 7374])).
% 8.02/5.64 tff(7377,plain,
% 8.02/5.64 (~((~v1(constB50)) | (~v102(constB50)))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7376, 7371])).
% 8.02/5.64 tff(7378,plain,
% 8.02/5.64 ((~(v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))) | v101(constB50) | ((~v1(constB50)) | (~v102(constB50)))),
% 8.02/5.64 inference(tautology,[status(thm)],[])).
% 8.02/5.64 tff(7379,plain,
% 8.02/5.64 (v101(constB50)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7378, 7377, 7355])).
% 8.02/5.64 tff(7380,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7381,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7382,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 8.02/5.64 tff(7383,plain,
% 8.02/5.64 (v110(constB50) <=> v108(constB49)),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7382, 7344, 518])).
% 8.02/5.64 tff(7384,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB49) <=> (v111(constB49) | v112(constB49)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7385,plain,
% 8.02/5.64 (v108(constB49) <=> (v111(constB49) | v112(constB49))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7384, 529])).
% 8.02/5.64 tff(7386,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7387,plain,
% 8.02/5.64 (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49))))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7386, 541])).
% 8.02/5.64 tff(7388,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB49) <=> (v114(constB49) | v125(constB49)))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7389,plain,
% 8.02/5.64 (v113(constB49) <=> (v114(constB49) | v125(constB49))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7388, 550])).
% 8.02/5.64 tff(7390,plain,
% 8.02/5.64 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7391,plain,
% 8.02/5.64 ((v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2))))) <=> (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7392,plain,
% 8.02/5.64 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 8.02/5.64 inference(monotonicity,[status(thm)],[7391])).
% 8.02/5.64 tff(7393,plain,
% 8.02/5.64 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 8.02/5.64 inference(transitivity,[status(thm)],[7392, 7390])).
% 8.02/5.64 tff(7394,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7395,plain,
% 8.02/5.64 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 8.02/5.64 tff(7396,plain,
% 8.02/5.64 (v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))),
% 8.02/5.64 inference(unit_resolution,[status(thm)],[7395, 713])).
% 8.02/5.64 tff(7397,plain,
% 8.02/5.64 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7398,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48')).
% 8.02/5.64 tff(7399,plain,
% 8.02/5.64 (nextState(constB48, constB49)),
% 8.02/5.64 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 8.02/5.64 tff(7400,plain,
% 8.02/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 8.02/5.64 inference(rewrite,[status(thm)],[])).
% 8.02/5.64 tff(7401,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 8.02/5.64 inference(quant_inst,[status(thm)],[])).
% 8.02/5.64 tff(7402,plain,
% 8.02/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 8.02/5.65 tff(7403,plain,
% 8.02/5.65 (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7402, 7399, 392])).
% 8.02/5.65 tff(7404,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7405,plain,
% 8.02/5.65 (((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7406,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))))),
% 8.02/5.65 inference(monotonicity,[status(thm)],[7405])).
% 8.02/5.65 tff(7407,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 8.02/5.65 inference(transitivity,[status(thm)],[7406, 7404])).
% 8.02/5.65 tff(7408,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7409,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7408, 7407])).
% 8.02/5.65 tff(7410,plain,
% 8.02/5.65 (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7409, 7399, 412])).
% 8.02/5.65 tff(7411,plain,
% 8.02/5.65 (((~v1(constB49)) | (~v102(constB49))) | v1(constB49)),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7412,plain,
% 8.02/5.65 ((~v1(constB49)) | (~v102(constB49))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7411, 7366])).
% 8.02/5.65 tff(7413,plain,
% 8.02/5.65 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49)) | (~((~v1(constB49)) | (~v102(constB49))))),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7414,plain,
% 8.02/5.65 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7413, 7412])).
% 8.02/5.65 tff(7415,plain,
% 8.02/5.65 (~v101(constB49)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7414, 7410])).
% 8.02/5.65 tff(7416,plain,
% 8.02/5.65 (((~v101(constB49)) | (~v110(constB49))) | v101(constB49)),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7417,plain,
% 8.02/5.65 ((~v101(constB49)) | (~v110(constB49))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7416, 7415])).
% 8.02/5.65 tff(7418,plain,
% 8.02/5.65 ((~(v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))) | (~v100(constB49)) | (~((~v101(constB49)) | (~v110(constB49))))),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7419,plain,
% 8.02/5.65 (~v100(constB49)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7418, 7417, 7403])).
% 8.02/5.65 tff(7420,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7421,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7422,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 8.02/5.65 tff(7423,plain,
% 8.02/5.65 (v100(constB49) | ![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7422, 7399, 441])).
% 8.02/5.65 tff(7424,plain,
% 8.02/5.65 (![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7423, 7419])).
% 8.02/5.65 tff(7425,plain,
% 8.02/5.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7426,plain,
% 8.02/5.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7427,plain,
% 8.02/5.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7426, 7425])).
% 8.02/5.65 tff(7428,plain,
% 8.02/5.65 (v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7427, 648, 7424])).
% 8.02/5.65 tff(7429,plain,
% 8.02/5.65 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7430,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47')).
% 8.02/5.65 tff(7431,plain,
% 8.02/5.65 (nextState(constB47, constB48)),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 8.02/5.65 tff(7432,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7433,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7434,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 8.02/5.65 tff(7435,plain,
% 8.02/5.65 (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7434, 7431, 392])).
% 8.02/5.65 tff(7436,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7437,plain,
% 8.02/5.65 (((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7438,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))))),
% 8.02/5.65 inference(monotonicity,[status(thm)],[7437])).
% 8.02/5.65 tff(7439,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 8.02/5.65 inference(transitivity,[status(thm)],[7438, 7436])).
% 8.02/5.65 tff(7440,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7441,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7440, 7439])).
% 8.02/5.65 tff(7442,plain,
% 8.02/5.65 (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7441, 7431, 412])).
% 8.02/5.65 tff(7443,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7444,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7445,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 8.02/5.65 tff(7446,plain,
% 8.02/5.65 ((~v102(constB48)) <=> v104(constB48)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7445, 7431, 474])).
% 8.02/5.65 tff(7447,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7448,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7449,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 8.02/5.65 tff(7450,plain,
% 8.02/5.65 (v104(constB48) <=> v1(constB47)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7449, 7431, 488])).
% 8.02/5.65 tff(7451,plain,
% 8.02/5.65 ((~v1(constB47)) <=> (~v1(constB47))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7452,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47')).
% 8.02/5.65 tff(7453,plain,
% 8.02/5.65 (~v1(constB47)),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 8.02/5.65 tff(7454,plain,
% 8.02/5.65 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48)) | v1(constB47)),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7455,plain,
% 8.02/5.65 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7454, 7453])).
% 8.02/5.65 tff(7456,plain,
% 8.02/5.65 (~v104(constB48)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7455, 7450])).
% 8.02/5.65 tff(7457,plain,
% 8.02/5.65 ((~((~v102(constB48)) <=> v104(constB48))) | v102(constB48) | v104(constB48)),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7458,plain,
% 8.02/5.65 (v102(constB48)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7457, 7456, 7446])).
% 8.02/5.65 tff(7459,plain,
% 8.02/5.65 (v1(constB48) <=> v1(constB48)),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7460,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48')).
% 8.02/5.65 tff(7461,plain,
% 8.02/5.65 (v1(constB48)),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7460, 7459])).
% 8.02/5.65 tff(7462,plain,
% 8.02/5.65 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v1(constB48)) | (~v102(constB48))),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7463,plain,
% 8.02/5.65 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v102(constB48))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7462, 7461])).
% 8.02/5.65 tff(7464,plain,
% 8.02/5.65 (~((~v1(constB48)) | (~v102(constB48)))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7463, 7458])).
% 8.02/5.65 tff(7465,plain,
% 8.02/5.65 ((~(v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))) | v101(constB48) | ((~v1(constB48)) | (~v102(constB48)))),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7466,plain,
% 8.02/5.65 (v101(constB48)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7465, 7464, 7442])).
% 8.02/5.65 tff(7467,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7468,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7469,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7468, 7467])).
% 8.02/5.65 tff(7470,plain,
% 8.02/5.65 (v110(constB48) <=> v108(constB47)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7469, 7431, 518])).
% 8.02/5.65 tff(7471,plain,
% 8.02/5.65 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB47) <=> (v111(constB47) | v112(constB47)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7472,plain,
% 8.02/5.65 (v108(constB47) <=> (v111(constB47) | v112(constB47))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7471, 529])).
% 8.02/5.65 tff(7473,plain,
% 8.02/5.65 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7474,plain,
% 8.02/5.65 (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7473, 541])).
% 8.02/5.65 tff(7475,plain,
% 8.02/5.65 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB47) <=> (v114(constB47) | v125(constB47)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7476,plain,
% 8.02/5.65 (v113(constB47) <=> (v114(constB47) | v125(constB47))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7475, 550])).
% 8.02/5.65 tff(7477,plain,
% 8.02/5.65 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB47) <=> (v115(constB47) | v124(constB47)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7478,plain,
% 8.02/5.65 (v114(constB47) <=> (v115(constB47) | v124(constB47))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7477, 559])).
% 8.02/5.65 tff(7479,plain,
% 8.02/5.65 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7480,plain,
% 8.02/5.65 ((v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2))))) <=> (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7481,plain,
% 8.02/5.65 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))))),
% 8.02/5.65 inference(monotonicity,[status(thm)],[7480])).
% 8.02/5.65 tff(7482,plain,
% 8.02/5.65 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))))),
% 8.02/5.65 inference(transitivity,[status(thm)],[7481, 7479])).
% 8.02/5.65 tff(7483,plain,
% 8.02/5.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2)))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7484,plain,
% 8.02/5.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7483, 7482])).
% 8.02/5.65 tff(7485,plain,
% 8.02/5.65 (v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7484, 815])).
% 8.02/5.65 tff(7486,plain,
% 8.02/5.65 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7487,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46')).
% 8.02/5.65 tff(7488,plain,
% 8.02/5.65 (nextState(constB46, constB47)),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7487, 7486])).
% 8.02/5.65 tff(7489,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7490,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7491,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7490, 7489])).
% 8.02/5.65 tff(7492,plain,
% 8.02/5.65 (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7491, 7488, 392])).
% 8.02/5.65 tff(7493,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7494,plain,
% 8.02/5.65 (((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7495,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))))),
% 8.02/5.65 inference(monotonicity,[status(thm)],[7494])).
% 8.02/5.65 tff(7496,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 8.02/5.65 inference(transitivity,[status(thm)],[7495, 7493])).
% 8.02/5.65 tff(7497,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7498,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 8.02/5.65 tff(7499,plain,
% 8.02/5.65 (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7498, 7488, 412])).
% 8.02/5.65 tff(7500,plain,
% 8.02/5.65 (((~v1(constB47)) | (~v102(constB47))) | v1(constB47)),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7501,plain,
% 8.02/5.65 ((~v1(constB47)) | (~v102(constB47))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7500, 7453])).
% 8.02/5.65 tff(7502,plain,
% 8.02/5.65 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47)) | (~((~v1(constB47)) | (~v102(constB47))))),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7503,plain,
% 8.02/5.65 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7502, 7501])).
% 8.02/5.65 tff(7504,plain,
% 8.02/5.65 (~v101(constB47)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7503, 7499])).
% 8.02/5.65 tff(7505,plain,
% 8.02/5.65 (((~v101(constB47)) | (~v110(constB47))) | v101(constB47)),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7506,plain,
% 8.02/5.65 ((~v101(constB47)) | (~v110(constB47))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7505, 7504])).
% 8.02/5.65 tff(7507,plain,
% 8.02/5.65 ((~(v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))) | (~v100(constB47)) | (~((~v101(constB47)) | (~v110(constB47))))),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7508,plain,
% 8.02/5.65 (~v100(constB47)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7507, 7506, 7492])).
% 8.02/5.65 tff(7509,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7510,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7511,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7510, 7509])).
% 8.02/5.65 tff(7512,plain,
% 8.02/5.65 (v100(constB47) | ![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7511, 7488, 441])).
% 8.02/5.65 tff(7513,plain,
% 8.02/5.65 (![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7512, 7508])).
% 8.02/5.65 tff(7514,plain,
% 8.02/5.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7515,plain,
% 8.02/5.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7516,plain,
% 8.02/5.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 8.02/5.65 tff(7517,plain,
% 8.02/5.65 (v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7516, 648, 7513])).
% 8.02/5.65 tff(7518,plain,
% 8.02/5.65 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7519,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45')).
% 8.02/5.65 tff(7520,plain,
% 8.02/5.65 (nextState(constB45, constB46)),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7519, 7518])).
% 8.02/5.65 tff(7521,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7522,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7523,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7522, 7521])).
% 8.02/5.65 tff(7524,plain,
% 8.02/5.65 (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7523, 7520, 392])).
% 8.02/5.65 tff(7525,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7526,plain,
% 8.02/5.65 (((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46)))))) <=> ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7527,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))))),
% 8.02/5.65 inference(monotonicity,[status(thm)],[7526])).
% 8.02/5.65 tff(7528,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 8.02/5.65 inference(transitivity,[status(thm)],[7527, 7525])).
% 8.02/5.65 tff(7529,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7530,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 8.02/5.65 tff(7531,plain,
% 8.02/5.65 (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7530, 7520, 412])).
% 8.02/5.65 tff(7532,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7533,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7534,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 8.02/5.65 tff(7535,plain,
% 8.02/5.65 ((~v102(constB46)) <=> v104(constB46)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7534, 7520, 474])).
% 8.02/5.65 tff(7536,plain,
% 8.02/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7537,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 8.02/5.65 inference(quant_inst,[status(thm)],[])).
% 8.02/5.65 tff(7538,plain,
% 8.02/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45))),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 8.02/5.65 tff(7539,plain,
% 8.02/5.65 (v104(constB46) <=> v1(constB45)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7538, 7520, 488])).
% 8.02/5.65 tff(7540,plain,
% 8.02/5.65 ((~v1(constB45)) <=> (~v1(constB45))),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7541,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45')).
% 8.02/5.65 tff(7542,plain,
% 8.02/5.65 (~v1(constB45)),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7541, 7540])).
% 8.02/5.65 tff(7543,plain,
% 8.02/5.65 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46)) | v1(constB45)),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7544,plain,
% 8.02/5.65 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7543, 7542])).
% 8.02/5.65 tff(7545,plain,
% 8.02/5.65 (~v104(constB46)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7544, 7539])).
% 8.02/5.65 tff(7546,plain,
% 8.02/5.65 ((~((~v102(constB46)) <=> v104(constB46))) | v102(constB46) | v104(constB46)),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7547,plain,
% 8.02/5.65 (v102(constB46)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7546, 7545, 7535])).
% 8.02/5.65 tff(7548,plain,
% 8.02/5.65 (v1(constB46) <=> v1(constB46)),
% 8.02/5.65 inference(rewrite,[status(thm)],[])).
% 8.02/5.65 tff(7549,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46')).
% 8.02/5.65 tff(7550,plain,
% 8.02/5.65 (v1(constB46)),
% 8.02/5.65 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 8.02/5.65 tff(7551,plain,
% 8.02/5.65 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v1(constB46)) | (~v102(constB46))),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7552,plain,
% 8.02/5.65 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v102(constB46))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7551, 7550])).
% 8.02/5.65 tff(7553,plain,
% 8.02/5.65 (~((~v1(constB46)) | (~v102(constB46)))),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7552, 7547])).
% 8.02/5.65 tff(7554,plain,
% 8.02/5.65 ((~(v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))) | v101(constB46) | ((~v1(constB46)) | (~v102(constB46)))),
% 8.02/5.65 inference(tautology,[status(thm)],[])).
% 8.02/5.65 tff(7555,plain,
% 8.02/5.65 (v101(constB46)),
% 8.02/5.65 inference(unit_resolution,[status(thm)],[7554, 7553, 7531])).
% 8.08/5.66 tff(7556,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7557,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7558,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 8.08/5.66 tff(7559,plain,
% 8.08/5.66 (v110(constB46) <=> v108(constB45)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7558, 7520, 518])).
% 8.08/5.66 tff(7560,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB45) <=> (v111(constB45) | v112(constB45)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7561,plain,
% 8.08/5.66 (v108(constB45) <=> (v111(constB45) | v112(constB45))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7560, 529])).
% 8.08/5.66 tff(7562,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7563,plain,
% 8.08/5.66 (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7562, 541])).
% 8.08/5.66 tff(7564,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB45) <=> (v114(constB45) | v125(constB45)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7565,plain,
% 8.08/5.66 (v113(constB45) <=> (v114(constB45) | v125(constB45))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7564, 550])).
% 8.08/5.66 tff(7566,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB45) <=> (v115(constB45) | v124(constB45)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7567,plain,
% 8.08/5.66 (v114(constB45) <=> (v115(constB45) | v124(constB45))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7566, 559])).
% 8.08/5.66 tff(7568,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB45) <=> (v116(constB45) | v123(constB45)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7569,plain,
% 8.08/5.66 (v115(constB45) <=> (v116(constB45) | v123(constB45))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7568, 568])).
% 8.08/5.66 tff(7570,plain,
% 8.08/5.66 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7571,plain,
% 8.08/5.66 ((v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2))))) <=> (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7572,plain,
% 8.08/5.66 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))))),
% 8.08/5.66 inference(monotonicity,[status(thm)],[7571])).
% 8.08/5.66 tff(7573,plain,
% 8.08/5.66 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))))),
% 8.08/5.66 inference(transitivity,[status(thm)],[7572, 7570])).
% 8.08/5.66 tff(7574,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7575,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7574, 7573])).
% 8.08/5.66 tff(7576,plain,
% 8.08/5.66 (v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7575, 919])).
% 8.08/5.66 tff(7577,plain,
% 8.08/5.66 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7578,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44')).
% 8.08/5.66 tff(7579,plain,
% 8.08/5.66 (nextState(constB44, constB45)),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7578, 7577])).
% 8.08/5.66 tff(7580,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7581,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7582,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7581, 7580])).
% 8.08/5.66 tff(7583,plain,
% 8.08/5.66 (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7582, 7579, 392])).
% 8.08/5.66 tff(7584,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7585,plain,
% 8.08/5.66 (((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7586,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))))),
% 8.08/5.66 inference(monotonicity,[status(thm)],[7585])).
% 8.08/5.66 tff(7587,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 8.08/5.66 inference(transitivity,[status(thm)],[7586, 7584])).
% 8.08/5.66 tff(7588,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7589,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7588, 7587])).
% 8.08/5.66 tff(7590,plain,
% 8.08/5.66 (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7589, 7579, 412])).
% 8.08/5.66 tff(7591,plain,
% 8.08/5.66 (((~v1(constB45)) | (~v102(constB45))) | v1(constB45)),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7592,plain,
% 8.08/5.66 ((~v1(constB45)) | (~v102(constB45))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7591, 7542])).
% 8.08/5.66 tff(7593,plain,
% 8.08/5.66 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45)) | (~((~v1(constB45)) | (~v102(constB45))))),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7594,plain,
% 8.08/5.66 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7593, 7592])).
% 8.08/5.66 tff(7595,plain,
% 8.08/5.66 (~v101(constB45)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7594, 7590])).
% 8.08/5.66 tff(7596,plain,
% 8.08/5.66 (((~v101(constB45)) | (~v110(constB45))) | v101(constB45)),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7597,plain,
% 8.08/5.66 ((~v101(constB45)) | (~v110(constB45))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7596, 7595])).
% 8.08/5.66 tff(7598,plain,
% 8.08/5.66 ((~(v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))) | (~v100(constB45)) | (~((~v101(constB45)) | (~v110(constB45))))),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7599,plain,
% 8.08/5.66 (~v100(constB45)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7598, 7597, 7583])).
% 8.08/5.66 tff(7600,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7601,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7602,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7601, 7600])).
% 8.08/5.66 tff(7603,plain,
% 8.08/5.66 (v100(constB45) | ![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7602, 7579, 441])).
% 8.08/5.66 tff(7604,plain,
% 8.08/5.66 (![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7603, 7599])).
% 8.08/5.66 tff(7605,plain,
% 8.08/5.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7606,plain,
% 8.08/5.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7607,plain,
% 8.08/5.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7606, 7605])).
% 8.08/5.66 tff(7608,plain,
% 8.08/5.66 (v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7607, 648, 7604])).
% 8.08/5.66 tff(7609,plain,
% 8.08/5.66 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7610,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43')).
% 8.08/5.66 tff(7611,plain,
% 8.08/5.66 (nextState(constB43, constB44)),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7610, 7609])).
% 8.08/5.66 tff(7612,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7613,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7614,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7613, 7612])).
% 8.08/5.66 tff(7615,plain,
% 8.08/5.66 (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7614, 7611, 392])).
% 8.08/5.66 tff(7616,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7617,plain,
% 8.08/5.66 (((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44)))))) <=> ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7618,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))))),
% 8.08/5.66 inference(monotonicity,[status(thm)],[7617])).
% 8.08/5.66 tff(7619,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 8.08/5.66 inference(transitivity,[status(thm)],[7618, 7616])).
% 8.08/5.66 tff(7620,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7621,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 8.08/5.66 tff(7622,plain,
% 8.08/5.66 (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7621, 7611, 412])).
% 8.08/5.66 tff(7623,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7624,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7625,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7624, 7623])).
% 8.08/5.66 tff(7626,plain,
% 8.08/5.66 ((~v102(constB44)) <=> v104(constB44)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7625, 7611, 474])).
% 8.08/5.66 tff(7627,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7628,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7629,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7628, 7627])).
% 8.08/5.66 tff(7630,plain,
% 8.08/5.66 (v104(constB44) <=> v1(constB43)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7629, 7611, 488])).
% 8.08/5.66 tff(7631,plain,
% 8.08/5.66 ((~v1(constB43)) <=> (~v1(constB43))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7632,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43')).
% 8.08/5.66 tff(7633,plain,
% 8.08/5.66 (~v1(constB43)),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 8.08/5.66 tff(7634,plain,
% 8.08/5.66 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44)) | v1(constB43)),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7635,plain,
% 8.08/5.66 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7634, 7633])).
% 8.08/5.66 tff(7636,plain,
% 8.08/5.66 (~v104(constB44)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7635, 7630])).
% 8.08/5.66 tff(7637,plain,
% 8.08/5.66 ((~((~v102(constB44)) <=> v104(constB44))) | v102(constB44) | v104(constB44)),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7638,plain,
% 8.08/5.66 (v102(constB44)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7637, 7636, 7626])).
% 8.08/5.66 tff(7639,plain,
% 8.08/5.66 (v1(constB44) <=> v1(constB44)),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7640,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44')).
% 8.08/5.66 tff(7641,plain,
% 8.08/5.66 (v1(constB44)),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 8.08/5.66 tff(7642,plain,
% 8.08/5.66 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v1(constB44)) | (~v102(constB44))),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7643,plain,
% 8.08/5.66 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v102(constB44))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7642, 7641])).
% 8.08/5.66 tff(7644,plain,
% 8.08/5.66 (~((~v1(constB44)) | (~v102(constB44)))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7643, 7638])).
% 8.08/5.66 tff(7645,plain,
% 8.08/5.66 ((~(v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))) | v101(constB44) | ((~v1(constB44)) | (~v102(constB44)))),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7646,plain,
% 8.08/5.66 (v101(constB44)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7645, 7644, 7622])).
% 8.08/5.66 tff(7647,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7648,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7649,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7648, 7647])).
% 8.08/5.66 tff(7650,plain,
% 8.08/5.66 (v110(constB44) <=> v108(constB43)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7649, 7611, 518])).
% 8.08/5.66 tff(7651,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB43) <=> (v111(constB43) | v112(constB43)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7652,plain,
% 8.08/5.66 (v108(constB43) <=> (v111(constB43) | v112(constB43))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7651, 529])).
% 8.08/5.66 tff(7653,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7654,plain,
% 8.08/5.66 (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7653, 541])).
% 8.08/5.66 tff(7655,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB43) <=> (v114(constB43) | v125(constB43)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7656,plain,
% 8.08/5.66 (v113(constB43) <=> (v114(constB43) | v125(constB43))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7655, 550])).
% 8.08/5.66 tff(7657,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB43) <=> (v115(constB43) | v124(constB43)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7658,plain,
% 8.08/5.66 (v114(constB43) <=> (v115(constB43) | v124(constB43))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7657, 559])).
% 8.08/5.66 tff(7659,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB43) <=> (v116(constB43) | v123(constB43)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7660,plain,
% 8.08/5.66 (v115(constB43) <=> (v116(constB43) | v123(constB43))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7659, 568])).
% 8.08/5.66 tff(7661,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB43) <=> (v117(constB43) | v122(constB43)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7662,plain,
% 8.08/5.66 (v116(constB43) <=> (v117(constB43) | v122(constB43))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7661, 577])).
% 8.08/5.66 tff(7663,plain,
% 8.08/5.66 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7664,plain,
% 8.08/5.66 ((v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1))))) <=> (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7665,plain,
% 8.08/5.66 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))))),
% 8.08/5.66 inference(monotonicity,[status(thm)],[7664])).
% 8.08/5.66 tff(7666,plain,
% 8.08/5.66 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))))),
% 8.08/5.66 inference(transitivity,[status(thm)],[7665, 7663])).
% 8.08/5.66 tff(7667,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7668,plain,
% 8.08/5.66 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7667, 7666])).
% 8.08/5.66 tff(7669,plain,
% 8.08/5.66 (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7668, 1025])).
% 8.08/5.66 tff(7670,plain,
% 8.08/5.66 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7671,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42')).
% 8.08/5.66 tff(7672,plain,
% 8.08/5.66 (nextState(constB42, constB43)),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 8.08/5.66 tff(7673,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7674,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7675,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 8.08/5.66 tff(7676,plain,
% 8.08/5.66 (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7675, 7672, 392])).
% 8.08/5.66 tff(7677,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7678,plain,
% 8.08/5.66 (((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7679,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))))),
% 8.08/5.66 inference(monotonicity,[status(thm)],[7678])).
% 8.08/5.66 tff(7680,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 8.08/5.66 inference(transitivity,[status(thm)],[7679, 7677])).
% 8.08/5.66 tff(7681,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7682,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 8.08/5.66 tff(7683,plain,
% 8.08/5.66 (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7682, 7672, 412])).
% 8.08/5.66 tff(7684,plain,
% 8.08/5.66 (((~v1(constB43)) | (~v102(constB43))) | v1(constB43)),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7685,plain,
% 8.08/5.66 ((~v1(constB43)) | (~v102(constB43))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7684, 7633])).
% 8.08/5.66 tff(7686,plain,
% 8.08/5.66 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43)) | (~((~v1(constB43)) | (~v102(constB43))))),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7687,plain,
% 8.08/5.66 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7686, 7685])).
% 8.08/5.66 tff(7688,plain,
% 8.08/5.66 (~v101(constB43)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7687, 7683])).
% 8.08/5.66 tff(7689,plain,
% 8.08/5.66 (((~v101(constB43)) | (~v110(constB43))) | v101(constB43)),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7690,plain,
% 8.08/5.66 ((~v101(constB43)) | (~v110(constB43))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7689, 7688])).
% 8.08/5.66 tff(7691,plain,
% 8.08/5.66 ((~(v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))) | (~v100(constB43)) | (~((~v101(constB43)) | (~v110(constB43))))),
% 8.08/5.66 inference(tautology,[status(thm)],[])).
% 8.08/5.66 tff(7692,plain,
% 8.08/5.66 (~v100(constB43)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7691, 7690, 7676])).
% 8.08/5.66 tff(7693,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7694,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B))))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7695,plain,
% 8.08/5.66 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 8.08/5.66 tff(7696,plain,
% 8.08/5.66 (v100(constB43) | ![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7695, 7672, 441])).
% 8.08/5.66 tff(7697,plain,
% 8.08/5.66 (![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7696, 7692])).
% 8.08/5.66 tff(7698,plain,
% 8.08/5.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7699,plain,
% 8.08/5.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)))),
% 8.08/5.66 inference(quant_inst,[status(thm)],[])).
% 8.08/5.66 tff(7700,plain,
% 8.08/5.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2))),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7699, 7698])).
% 8.08/5.66 tff(7701,plain,
% 8.08/5.66 (v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2)),
% 8.08/5.66 inference(unit_resolution,[status(thm)],[7700, 648, 7697])).
% 8.08/5.66 tff(7702,plain,
% 8.08/5.66 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.66 tff(7703,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41')).
% 8.08/5.66 tff(7704,plain,
% 8.08/5.66 (nextState(constB41, constB42)),
% 8.08/5.66 inference(modus_ponens,[status(thm)],[7703, 7702])).
% 8.08/5.66 tff(7705,plain,
% 8.08/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 8.08/5.66 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7706,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7707,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7706, 7705])).
% 8.08/5.67 tff(7708,plain,
% 8.08/5.67 (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7707, 7704, 392])).
% 8.08/5.67 tff(7709,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7710,plain,
% 8.08/5.67 (((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42)))))) <=> ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7711,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))))),
% 8.08/5.67 inference(monotonicity,[status(thm)],[7710])).
% 8.08/5.67 tff(7712,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 8.08/5.67 inference(transitivity,[status(thm)],[7711, 7709])).
% 8.08/5.67 tff(7713,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7714,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7713, 7712])).
% 8.08/5.67 tff(7715,plain,
% 8.08/5.67 (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7714, 7704, 412])).
% 8.08/5.67 tff(7716,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7717,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7718,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 8.08/5.67 tff(7719,plain,
% 8.08/5.67 ((~v102(constB42)) <=> v104(constB42)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7718, 7704, 474])).
% 8.08/5.67 tff(7720,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7721,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7722,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 8.08/5.67 tff(7723,plain,
% 8.08/5.67 (v104(constB42) <=> v1(constB41)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7722, 7704, 488])).
% 8.08/5.67 tff(7724,plain,
% 8.08/5.67 ((~v1(constB41)) <=> (~v1(constB41))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7725,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41')).
% 8.08/5.67 tff(7726,plain,
% 8.08/5.67 (~v1(constB41)),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 8.08/5.67 tff(7727,plain,
% 8.08/5.67 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42)) | v1(constB41)),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7728,plain,
% 8.08/5.67 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7727, 7726])).
% 8.08/5.67 tff(7729,plain,
% 8.08/5.67 (~v104(constB42)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7728, 7723])).
% 8.08/5.67 tff(7730,plain,
% 8.08/5.67 ((~((~v102(constB42)) <=> v104(constB42))) | v102(constB42) | v104(constB42)),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7731,plain,
% 8.08/5.67 (v102(constB42)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7730, 7729, 7719])).
% 8.08/5.67 tff(7732,plain,
% 8.08/5.67 (v1(constB42) <=> v1(constB42)),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7733,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42')).
% 8.08/5.67 tff(7734,plain,
% 8.08/5.67 (v1(constB42)),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7733, 7732])).
% 8.08/5.67 tff(7735,plain,
% 8.08/5.67 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v1(constB42)) | (~v102(constB42))),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7736,plain,
% 8.08/5.67 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v102(constB42))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7735, 7734])).
% 8.08/5.67 tff(7737,plain,
% 8.08/5.67 (~((~v1(constB42)) | (~v102(constB42)))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7736, 7731])).
% 8.08/5.67 tff(7738,plain,
% 8.08/5.67 ((~(v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))) | v101(constB42) | ((~v1(constB42)) | (~v102(constB42)))),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7739,plain,
% 8.08/5.67 (v101(constB42)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7738, 7737, 7715])).
% 8.08/5.67 tff(7740,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7741,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7742,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 8.08/5.67 tff(7743,plain,
% 8.08/5.67 (v110(constB42) <=> v108(constB41)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7742, 7704, 518])).
% 8.08/5.67 tff(7744,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB41) <=> (v111(constB41) | v112(constB41)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7745,plain,
% 8.08/5.67 (v108(constB41) <=> (v111(constB41) | v112(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7744, 529])).
% 8.08/5.67 tff(7746,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7747,plain,
% 8.08/5.67 (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7746, 541])).
% 8.08/5.67 tff(7748,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB41) <=> (v114(constB41) | v125(constB41)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7749,plain,
% 8.08/5.67 (v113(constB41) <=> (v114(constB41) | v125(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7748, 550])).
% 8.08/5.67 tff(7750,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB41) <=> (v115(constB41) | v124(constB41)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7751,plain,
% 8.08/5.67 (v114(constB41) <=> (v115(constB41) | v124(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7750, 559])).
% 8.08/5.67 tff(7752,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB41) <=> (v116(constB41) | v123(constB41)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7753,plain,
% 8.08/5.67 (v115(constB41) <=> (v116(constB41) | v123(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7752, 568])).
% 8.08/5.67 tff(7754,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB41) <=> (v117(constB41) | v122(constB41)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7755,plain,
% 8.08/5.67 (v116(constB41) <=> (v117(constB41) | v122(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7754, 577])).
% 8.08/5.67 tff(7756,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB41) <=> (v118(constB41) | v121(constB41)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7757,plain,
% 8.08/5.67 (v117(constB41) <=> (v118(constB41) | v121(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7756, 586])).
% 8.08/5.67 tff(7758,plain,
% 8.08/5.67 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0)))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7759,plain,
% 8.08/5.67 ((v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1))))) <=> (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7760,plain,
% 8.08/5.67 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0)))))),
% 8.08/5.67 inference(monotonicity,[status(thm)],[7759])).
% 8.08/5.67 tff(7761,plain,
% 8.08/5.67 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0)))))),
% 8.08/5.67 inference(transitivity,[status(thm)],[7760, 7758])).
% 8.08/5.67 tff(7762,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7763,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7762, 7761])).
% 8.08/5.67 tff(7764,plain,
% 8.08/5.67 (v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0)))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7763, 1133])).
% 8.08/5.67 tff(7765,plain,
% 8.08/5.67 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7766,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40')).
% 8.08/5.67 tff(7767,plain,
% 8.08/5.67 (nextState(constB40, constB41)),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7766, 7765])).
% 8.08/5.67 tff(7768,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7769,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7770,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7769, 7768])).
% 8.08/5.67 tff(7771,plain,
% 8.08/5.67 (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7770, 7767, 392])).
% 8.08/5.67 tff(7772,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7773,plain,
% 8.08/5.67 (((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7774,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))))),
% 8.08/5.67 inference(monotonicity,[status(thm)],[7773])).
% 8.08/5.67 tff(7775,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 8.08/5.67 inference(transitivity,[status(thm)],[7774, 7772])).
% 8.08/5.67 tff(7776,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7777,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 8.08/5.67 tff(7778,plain,
% 8.08/5.67 (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7777, 7767, 412])).
% 8.08/5.67 tff(7779,plain,
% 8.08/5.67 (((~v1(constB41)) | (~v102(constB41))) | v1(constB41)),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7780,plain,
% 8.08/5.67 ((~v1(constB41)) | (~v102(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7779, 7726])).
% 8.08/5.67 tff(7781,plain,
% 8.08/5.67 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41)) | (~((~v1(constB41)) | (~v102(constB41))))),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7782,plain,
% 8.08/5.67 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7781, 7780])).
% 8.08/5.67 tff(7783,plain,
% 8.08/5.67 (~v101(constB41)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7782, 7778])).
% 8.08/5.67 tff(7784,plain,
% 8.08/5.67 (((~v101(constB41)) | (~v110(constB41))) | v101(constB41)),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7785,plain,
% 8.08/5.67 ((~v101(constB41)) | (~v110(constB41))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7784, 7783])).
% 8.08/5.67 tff(7786,plain,
% 8.08/5.67 ((~(v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))) | (~v100(constB41)) | (~((~v101(constB41)) | (~v110(constB41))))),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7787,plain,
% 8.08/5.67 (~v100(constB41)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7786, 7785, 7771])).
% 8.08/5.67 tff(7788,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7789,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7790,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 8.08/5.67 tff(7791,plain,
% 8.08/5.67 (v100(constB41) | ![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7790, 7767, 441])).
% 8.08/5.67 tff(7792,plain,
% 8.08/5.67 (![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7791, 7787])).
% 8.08/5.67 tff(7793,plain,
% 8.08/5.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7794,plain,
% 8.08/5.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7795,plain,
% 8.08/5.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 8.08/5.67 tff(7796,plain,
% 8.08/5.67 (v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7795, 648, 7792])).
% 8.08/5.67 tff(7797,plain,
% 8.08/5.67 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7798,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39')).
% 8.08/5.67 tff(7799,plain,
% 8.08/5.67 (nextState(constB39, constB40)),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 8.08/5.67 tff(7800,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7801,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7802,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7801, 7800])).
% 8.08/5.67 tff(7803,plain,
% 8.08/5.67 (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7802, 7799, 392])).
% 8.08/5.67 tff(7804,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7805,plain,
% 8.08/5.67 (((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7806,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))))),
% 8.08/5.67 inference(monotonicity,[status(thm)],[7805])).
% 8.08/5.67 tff(7807,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 8.08/5.67 inference(transitivity,[status(thm)],[7806, 7804])).
% 8.08/5.67 tff(7808,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7809,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7808, 7807])).
% 8.08/5.67 tff(7810,plain,
% 8.08/5.67 (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7809, 7799, 412])).
% 8.08/5.67 tff(7811,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7812,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7813,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 8.08/5.67 tff(7814,plain,
% 8.08/5.67 ((~v102(constB40)) <=> v104(constB40)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7813, 7799, 474])).
% 8.08/5.67 tff(7815,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7816,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7817,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7816, 7815])).
% 8.08/5.67 tff(7818,plain,
% 8.08/5.67 (v104(constB40) <=> v1(constB39)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7817, 7799, 488])).
% 8.08/5.67 tff(7819,plain,
% 8.08/5.67 ((~v1(constB39)) <=> (~v1(constB39))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7820,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39')).
% 8.08/5.67 tff(7821,plain,
% 8.08/5.67 (~v1(constB39)),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7820, 7819])).
% 8.08/5.67 tff(7822,plain,
% 8.08/5.67 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40)) | v1(constB39)),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7823,plain,
% 8.08/5.67 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7822, 7821])).
% 8.08/5.67 tff(7824,plain,
% 8.08/5.67 (~v104(constB40)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7823, 7818])).
% 8.08/5.67 tff(7825,plain,
% 8.08/5.67 ((~((~v102(constB40)) <=> v104(constB40))) | v102(constB40) | v104(constB40)),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7826,plain,
% 8.08/5.67 (v102(constB40)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7825, 7824, 7814])).
% 8.08/5.67 tff(7827,plain,
% 8.08/5.67 (v1(constB40) <=> v1(constB40)),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7828,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40')).
% 8.08/5.67 tff(7829,plain,
% 8.08/5.67 (v1(constB40)),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7828, 7827])).
% 8.08/5.67 tff(7830,plain,
% 8.08/5.67 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v1(constB40)) | (~v102(constB40))),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7831,plain,
% 8.08/5.67 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v102(constB40))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7830, 7829])).
% 8.08/5.67 tff(7832,plain,
% 8.08/5.67 (~((~v1(constB40)) | (~v102(constB40)))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7831, 7826])).
% 8.08/5.67 tff(7833,plain,
% 8.08/5.67 ((~(v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))) | v101(constB40) | ((~v1(constB40)) | (~v102(constB40)))),
% 8.08/5.67 inference(tautology,[status(thm)],[])).
% 8.08/5.67 tff(7834,plain,
% 8.08/5.67 (v101(constB40)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7833, 7832, 7810])).
% 8.08/5.67 tff(7835,plain,
% 8.08/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7836,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7837,plain,
% 8.08/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7836, 7835])).
% 8.08/5.67 tff(7838,plain,
% 8.08/5.67 (v110(constB40) <=> v108(constB39)),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7837, 7799, 518])).
% 8.08/5.67 tff(7839,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB39) <=> (v111(constB39) | v112(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7840,plain,
% 8.08/5.67 (v108(constB39) <=> (v111(constB39) | v112(constB39))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7839, 529])).
% 8.08/5.67 tff(7841,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7842,plain,
% 8.08/5.67 (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7841, 541])).
% 8.08/5.67 tff(7843,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB39) <=> (v114(constB39) | v125(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7844,plain,
% 8.08/5.67 (v113(constB39) <=> (v114(constB39) | v125(constB39))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7843, 550])).
% 8.08/5.67 tff(7845,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB39) <=> (v115(constB39) | v124(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7846,plain,
% 8.08/5.67 (v114(constB39) <=> (v115(constB39) | v124(constB39))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7845, 559])).
% 8.08/5.67 tff(7847,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB39) <=> (v116(constB39) | v123(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7848,plain,
% 8.08/5.67 (v115(constB39) <=> (v116(constB39) | v123(constB39))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7847, 568])).
% 8.08/5.67 tff(7849,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB39) <=> (v117(constB39) | v122(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7850,plain,
% 8.08/5.67 (v116(constB39) <=> (v117(constB39) | v122(constB39))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7849, 577])).
% 8.08/5.67 tff(7851,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB39) <=> (v118(constB39) | v121(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7852,plain,
% 8.08/5.67 (v117(constB39) <=> (v118(constB39) | v121(constB39))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7851, 586])).
% 8.08/5.67 tff(7853,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB39) <=> (v119(constB39) | v120(constB39)))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7854,plain,
% 8.08/5.67 (v118(constB39) <=> (v119(constB39) | v120(constB39))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7853, 595])).
% 8.08/5.67 tff(7855,plain,
% 8.08/5.67 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0))))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7856,plain,
% 8.08/5.67 ((v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0))))) <=> (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))))),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7857,plain,
% 8.08/5.67 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0))))))),
% 8.08/5.67 inference(monotonicity,[status(thm)],[7856])).
% 8.08/5.67 tff(7858,plain,
% 8.08/5.67 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0))))))),
% 8.08/5.67 inference(transitivity,[status(thm)],[7857, 7855])).
% 8.08/5.67 tff(7859,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))))),
% 8.08/5.67 inference(quant_inst,[status(thm)],[])).
% 8.08/5.67 tff(7860,plain,
% 8.08/5.67 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))))),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 8.08/5.67 tff(7861,plain,
% 8.08/5.67 (v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0))))),
% 8.08/5.67 inference(unit_resolution,[status(thm)],[7860, 610])).
% 8.08/5.67 tff(7862,plain,
% 8.08/5.67 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 8.08/5.67 inference(rewrite,[status(thm)],[])).
% 8.08/5.67 tff(7863,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38')).
% 8.08/5.67 tff(7864,plain,
% 8.08/5.67 (nextState(constB38, constB39)),
% 8.08/5.67 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 8.08/5.68 tff(7865,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7866,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7867,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 8.08/5.68 tff(7868,plain,
% 8.08/5.68 (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7867, 7864, 392])).
% 8.08/5.68 tff(7869,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7870,plain,
% 8.08/5.68 (((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7871,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))))),
% 8.08/5.68 inference(monotonicity,[status(thm)],[7870])).
% 8.08/5.68 tff(7872,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 8.08/5.68 inference(transitivity,[status(thm)],[7871, 7869])).
% 8.08/5.68 tff(7873,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7874,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 8.08/5.68 tff(7875,plain,
% 8.08/5.68 (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7874, 7864, 412])).
% 8.08/5.68 tff(7876,plain,
% 8.08/5.68 (((~v1(constB39)) | (~v102(constB39))) | v1(constB39)),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7877,plain,
% 8.08/5.68 ((~v1(constB39)) | (~v102(constB39))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7876, 7821])).
% 8.08/5.68 tff(7878,plain,
% 8.08/5.68 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39)) | (~((~v1(constB39)) | (~v102(constB39))))),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7879,plain,
% 8.08/5.68 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7878, 7877])).
% 8.08/5.68 tff(7880,plain,
% 8.08/5.68 (~v101(constB39)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7879, 7875])).
% 8.08/5.68 tff(7881,plain,
% 8.08/5.68 (((~v101(constB39)) | (~v110(constB39))) | v101(constB39)),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7882,plain,
% 8.08/5.68 ((~v101(constB39)) | (~v110(constB39))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7881, 7880])).
% 8.08/5.68 tff(7883,plain,
% 8.08/5.68 ((~(v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))) | (~v100(constB39)) | (~((~v101(constB39)) | (~v110(constB39))))),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7884,plain,
% 8.08/5.68 (~v100(constB39)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7883, 7882, 7868])).
% 8.08/5.68 tff(7885,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7886,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7887,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7886, 7885])).
% 8.08/5.68 tff(7888,plain,
% 8.08/5.68 (v100(constB39) | ![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7887, 7864, 441])).
% 8.08/5.68 tff(7889,plain,
% 8.08/5.68 (![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7888, 7884])).
% 8.08/5.68 tff(7890,plain,
% 8.08/5.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7891,plain,
% 8.08/5.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7892,plain,
% 8.08/5.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7891, 7890])).
% 8.08/5.68 tff(7893,plain,
% 8.08/5.68 (v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7892, 648, 7889])).
% 8.08/5.68 tff(7894,plain,
% 8.08/5.68 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7895,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37')).
% 8.08/5.68 tff(7896,plain,
% 8.08/5.68 (nextState(constB37, constB38)),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7895, 7894])).
% 8.08/5.68 tff(7897,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7898,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7899,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 8.08/5.68 tff(7900,plain,
% 8.08/5.68 (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7899, 7896, 392])).
% 8.08/5.68 tff(7901,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7902,plain,
% 8.08/5.68 (((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7903,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))))),
% 8.08/5.68 inference(monotonicity,[status(thm)],[7902])).
% 8.08/5.68 tff(7904,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 8.08/5.68 inference(transitivity,[status(thm)],[7903, 7901])).
% 8.08/5.68 tff(7905,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7906,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7905, 7904])).
% 8.08/5.68 tff(7907,plain,
% 8.08/5.68 (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7906, 7896, 412])).
% 8.08/5.68 tff(7908,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7909,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7910,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 8.08/5.68 tff(7911,plain,
% 8.08/5.68 ((~v102(constB38)) <=> v104(constB38)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7910, 7896, 474])).
% 8.08/5.68 tff(7912,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7913,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7914,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7913, 7912])).
% 8.08/5.68 tff(7915,plain,
% 8.08/5.68 (v104(constB38) <=> v1(constB37)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7914, 7896, 488])).
% 8.08/5.68 tff(7916,plain,
% 8.08/5.68 ((~v1(constB37)) <=> (~v1(constB37))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7917,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37')).
% 8.08/5.68 tff(7918,plain,
% 8.08/5.68 (~v1(constB37)),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7917, 7916])).
% 8.08/5.68 tff(7919,plain,
% 8.08/5.68 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38)) | v1(constB37)),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7920,plain,
% 8.08/5.68 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7919, 7918])).
% 8.08/5.68 tff(7921,plain,
% 8.08/5.68 (~v104(constB38)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7920, 7915])).
% 8.08/5.68 tff(7922,plain,
% 8.08/5.68 ((~((~v102(constB38)) <=> v104(constB38))) | v102(constB38) | v104(constB38)),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7923,plain,
% 8.08/5.68 (v102(constB38)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7922, 7921, 7911])).
% 8.08/5.68 tff(7924,plain,
% 8.08/5.68 (v1(constB38) <=> v1(constB38)),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7925,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38')).
% 8.08/5.68 tff(7926,plain,
% 8.08/5.68 (v1(constB38)),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7925, 7924])).
% 8.08/5.68 tff(7927,plain,
% 8.08/5.68 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v1(constB38)) | (~v102(constB38))),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7928,plain,
% 8.08/5.68 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v102(constB38))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7927, 7926])).
% 8.08/5.68 tff(7929,plain,
% 8.08/5.68 (~((~v1(constB38)) | (~v102(constB38)))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7928, 7923])).
% 8.08/5.68 tff(7930,plain,
% 8.08/5.68 ((~(v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))) | v101(constB38) | ((~v1(constB38)) | (~v102(constB38)))),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7931,plain,
% 8.08/5.68 (v101(constB38)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7930, 7929, 7907])).
% 8.08/5.68 tff(7932,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7933,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7934,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7933, 7932])).
% 8.08/5.68 tff(7935,plain,
% 8.08/5.68 (v110(constB38) <=> v108(constB37)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7934, 7896, 518])).
% 8.08/5.68 tff(7936,plain,
% 8.08/5.68 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB37) <=> (v111(constB37) | v112(constB37)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7937,plain,
% 8.08/5.68 (v108(constB37) <=> (v111(constB37) | v112(constB37))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7936, 529])).
% 8.08/5.68 tff(7938,plain,
% 8.08/5.68 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7939,plain,
% 8.08/5.68 (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7938, 541])).
% 8.08/5.68 tff(7940,plain,
% 8.08/5.68 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB37) <=> (v114(constB37) | v125(constB37)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7941,plain,
% 8.08/5.68 (v113(constB37) <=> (v114(constB37) | v125(constB37))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7940, 550])).
% 8.08/5.68 tff(7942,plain,
% 8.08/5.68 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7943,plain,
% 8.08/5.68 ((v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2))))) <=> (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7944,plain,
% 8.08/5.68 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))))),
% 8.08/5.68 inference(monotonicity,[status(thm)],[7943])).
% 8.08/5.68 tff(7945,plain,
% 8.08/5.68 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))))),
% 8.08/5.68 inference(transitivity,[status(thm)],[7944, 7942])).
% 8.08/5.68 tff(7946,plain,
% 8.08/5.68 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7947,plain,
% 8.08/5.68 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7946, 7945])).
% 8.08/5.68 tff(7948,plain,
% 8.08/5.68 (v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7947, 713])).
% 8.08/5.68 tff(7949,plain,
% 8.08/5.68 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7950,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36')).
% 8.08/5.68 tff(7951,plain,
% 8.08/5.68 (nextState(constB36, constB37)),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 8.08/5.68 tff(7952,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7953,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7954,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 8.08/5.68 tff(7955,plain,
% 8.08/5.68 (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7954, 7951, 392])).
% 8.08/5.68 tff(7956,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7957,plain,
% 8.08/5.68 (((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7958,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))))),
% 8.08/5.68 inference(monotonicity,[status(thm)],[7957])).
% 8.08/5.68 tff(7959,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 8.08/5.68 inference(transitivity,[status(thm)],[7958, 7956])).
% 8.08/5.68 tff(7960,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7961,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 8.08/5.68 tff(7962,plain,
% 8.08/5.68 (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7961, 7951, 412])).
% 8.08/5.68 tff(7963,plain,
% 8.08/5.68 (((~v1(constB37)) | (~v102(constB37))) | v1(constB37)),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7964,plain,
% 8.08/5.68 ((~v1(constB37)) | (~v102(constB37))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7963, 7918])).
% 8.08/5.68 tff(7965,plain,
% 8.08/5.68 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37)) | (~((~v1(constB37)) | (~v102(constB37))))),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7966,plain,
% 8.08/5.68 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7965, 7964])).
% 8.08/5.68 tff(7967,plain,
% 8.08/5.68 (~v101(constB37)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7966, 7962])).
% 8.08/5.68 tff(7968,plain,
% 8.08/5.68 (((~v101(constB37)) | (~v110(constB37))) | v101(constB37)),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7969,plain,
% 8.08/5.68 ((~v101(constB37)) | (~v110(constB37))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7968, 7967])).
% 8.08/5.68 tff(7970,plain,
% 8.08/5.68 ((~(v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))) | (~v100(constB37)) | (~((~v101(constB37)) | (~v110(constB37))))),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(7971,plain,
% 8.08/5.68 (~v100(constB37)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7970, 7969, 7955])).
% 8.08/5.68 tff(7972,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7973,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7974,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 8.08/5.68 tff(7975,plain,
% 8.08/5.68 (v100(constB37) | ![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7974, 7951, 441])).
% 8.08/5.68 tff(7976,plain,
% 8.08/5.68 (![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7975, 7971])).
% 8.08/5.68 tff(7977,plain,
% 8.08/5.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7978,plain,
% 8.08/5.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7979,plain,
% 8.08/5.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7978, 7977])).
% 8.08/5.68 tff(7980,plain,
% 8.08/5.68 (v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7979, 648, 7976])).
% 8.08/5.68 tff(7981,plain,
% 8.08/5.68 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7982,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35')).
% 8.08/5.68 tff(7983,plain,
% 8.08/5.68 (nextState(constB35, constB36)),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 8.08/5.68 tff(7984,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7985,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7986,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7985, 7984])).
% 8.08/5.68 tff(7987,plain,
% 8.08/5.68 (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7986, 7983, 392])).
% 8.08/5.68 tff(7988,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7989,plain,
% 8.08/5.68 (((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7990,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))))),
% 8.08/5.68 inference(monotonicity,[status(thm)],[7989])).
% 8.08/5.68 tff(7991,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 8.08/5.68 inference(transitivity,[status(thm)],[7990, 7988])).
% 8.08/5.68 tff(7992,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7993,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 8.08/5.68 tff(7994,plain,
% 8.08/5.68 (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7993, 7983, 412])).
% 8.08/5.68 tff(7995,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(7996,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(7997,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[7996, 7995])).
% 8.08/5.68 tff(7998,plain,
% 8.08/5.68 ((~v102(constB36)) <=> v104(constB36)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[7997, 7983, 474])).
% 8.08/5.68 tff(7999,plain,
% 8.08/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(8000,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 8.08/5.68 inference(quant_inst,[status(thm)],[])).
% 8.08/5.68 tff(8001,plain,
% 8.08/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35))),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 8.08/5.68 tff(8002,plain,
% 8.08/5.68 (v104(constB36) <=> v1(constB35)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[8001, 7983, 488])).
% 8.08/5.68 tff(8003,plain,
% 8.08/5.68 ((~v1(constB35)) <=> (~v1(constB35))),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(8004,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35')).
% 8.08/5.68 tff(8005,plain,
% 8.08/5.68 (~v1(constB35)),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[8004, 8003])).
% 8.08/5.68 tff(8006,plain,
% 8.08/5.68 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36)) | v1(constB35)),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(8007,plain,
% 8.08/5.68 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36))),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[8006, 8005])).
% 8.08/5.68 tff(8008,plain,
% 8.08/5.68 (~v104(constB36)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[8007, 8002])).
% 8.08/5.68 tff(8009,plain,
% 8.08/5.68 ((~((~v102(constB36)) <=> v104(constB36))) | v102(constB36) | v104(constB36)),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.68 tff(8010,plain,
% 8.08/5.68 (v102(constB36)),
% 8.08/5.68 inference(unit_resolution,[status(thm)],[8009, 8008, 7998])).
% 8.08/5.68 tff(8011,plain,
% 8.08/5.68 (v1(constB36) <=> v1(constB36)),
% 8.08/5.68 inference(rewrite,[status(thm)],[])).
% 8.08/5.68 tff(8012,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36')).
% 8.08/5.68 tff(8013,plain,
% 8.08/5.68 (v1(constB36)),
% 8.08/5.68 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 8.08/5.68 tff(8014,plain,
% 8.08/5.68 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v1(constB36)) | (~v102(constB36))),
% 8.08/5.68 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8015,plain,
% 8.08/5.69 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v102(constB36))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8014, 8013])).
% 8.08/5.69 tff(8016,plain,
% 8.08/5.69 (~((~v1(constB36)) | (~v102(constB36)))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8015, 8010])).
% 8.08/5.69 tff(8017,plain,
% 8.08/5.69 ((~(v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))) | v101(constB36) | ((~v1(constB36)) | (~v102(constB36)))),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8018,plain,
% 8.08/5.69 (v101(constB36)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8017, 8016, 7994])).
% 8.08/5.69 tff(8019,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8020,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8021,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 8.08/5.69 tff(8022,plain,
% 8.08/5.69 (v110(constB36) <=> v108(constB35)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8021, 7983, 518])).
% 8.08/5.69 tff(8023,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB35) <=> (v111(constB35) | v112(constB35)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8024,plain,
% 8.08/5.69 (v108(constB35) <=> (v111(constB35) | v112(constB35))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8023, 529])).
% 8.08/5.69 tff(8025,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8026,plain,
% 8.08/5.69 (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8025, 541])).
% 8.08/5.69 tff(8027,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB35) <=> (v114(constB35) | v125(constB35)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8028,plain,
% 8.08/5.69 (v113(constB35) <=> (v114(constB35) | v125(constB35))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8027, 550])).
% 8.08/5.69 tff(8029,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB35) <=> (v115(constB35) | v124(constB35)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8030,plain,
% 8.08/5.69 (v114(constB35) <=> (v115(constB35) | v124(constB35))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8029, 559])).
% 8.08/5.69 tff(8031,plain,
% 8.08/5.69 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8032,plain,
% 8.08/5.69 ((v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2))))) <=> (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8033,plain,
% 8.08/5.69 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 8.08/5.69 inference(monotonicity,[status(thm)],[8032])).
% 8.08/5.69 tff(8034,plain,
% 8.08/5.69 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))))),
% 8.08/5.69 inference(transitivity,[status(thm)],[8033, 8031])).
% 8.08/5.69 tff(8035,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8036,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 8.08/5.69 tff(8037,plain,
% 8.08/5.69 (v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8036, 815])).
% 8.08/5.69 tff(8038,plain,
% 8.08/5.69 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8039,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34')).
% 8.08/5.69 tff(8040,plain,
% 8.08/5.69 (nextState(constB34, constB35)),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 8.08/5.69 tff(8041,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8042,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8043,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8042, 8041])).
% 8.08/5.69 tff(8044,plain,
% 8.08/5.69 (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8043, 8040, 392])).
% 8.08/5.69 tff(8045,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8046,plain,
% 8.08/5.69 (((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8047,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))))),
% 8.08/5.69 inference(monotonicity,[status(thm)],[8046])).
% 8.08/5.69 tff(8048,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 8.08/5.69 inference(transitivity,[status(thm)],[8047, 8045])).
% 8.08/5.69 tff(8049,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8050,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8049, 8048])).
% 8.08/5.69 tff(8051,plain,
% 8.08/5.69 (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8050, 8040, 412])).
% 8.08/5.69 tff(8052,plain,
% 8.08/5.69 (((~v1(constB35)) | (~v102(constB35))) | v1(constB35)),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8053,plain,
% 8.08/5.69 ((~v1(constB35)) | (~v102(constB35))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8052, 8005])).
% 8.08/5.69 tff(8054,plain,
% 8.08/5.69 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35)) | (~((~v1(constB35)) | (~v102(constB35))))),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8055,plain,
% 8.08/5.69 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8054, 8053])).
% 8.08/5.69 tff(8056,plain,
% 8.08/5.69 (~v101(constB35)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8055, 8051])).
% 8.08/5.69 tff(8057,plain,
% 8.08/5.69 (((~v101(constB35)) | (~v110(constB35))) | v101(constB35)),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8058,plain,
% 8.08/5.69 ((~v101(constB35)) | (~v110(constB35))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8057, 8056])).
% 8.08/5.69 tff(8059,plain,
% 8.08/5.69 ((~(v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))) | (~v100(constB35)) | (~((~v101(constB35)) | (~v110(constB35))))),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8060,plain,
% 8.08/5.69 (~v100(constB35)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8059, 8058, 8044])).
% 8.08/5.69 tff(8061,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8062,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8063,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 8.08/5.69 tff(8064,plain,
% 8.08/5.69 (v100(constB35) | ![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8063, 8040, 441])).
% 8.08/5.69 tff(8065,plain,
% 8.08/5.69 (![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8064, 8060])).
% 8.08/5.69 tff(8066,plain,
% 8.08/5.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8067,plain,
% 8.08/5.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8068,plain,
% 8.08/5.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8067, 8066])).
% 8.08/5.69 tff(8069,plain,
% 8.08/5.69 (v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8068, 648, 8065])).
% 8.08/5.69 tff(8070,plain,
% 8.08/5.69 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8071,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33')).
% 8.08/5.69 tff(8072,plain,
% 8.08/5.69 (nextState(constB33, constB34)),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8071, 8070])).
% 8.08/5.69 tff(8073,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8074,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8075,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 8.08/5.69 tff(8076,plain,
% 8.08/5.69 (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8075, 8072, 392])).
% 8.08/5.69 tff(8077,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8078,plain,
% 8.08/5.69 (((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8079,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))))),
% 8.08/5.69 inference(monotonicity,[status(thm)],[8078])).
% 8.08/5.69 tff(8080,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 8.08/5.69 inference(transitivity,[status(thm)],[8079, 8077])).
% 8.08/5.69 tff(8081,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8082,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 8.08/5.69 tff(8083,plain,
% 8.08/5.69 (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8082, 8072, 412])).
% 8.08/5.69 tff(8084,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8085,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8086,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8085, 8084])).
% 8.08/5.69 tff(8087,plain,
% 8.08/5.69 ((~v102(constB34)) <=> v104(constB34)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8086, 8072, 474])).
% 8.08/5.69 tff(8088,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8089,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8090,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 8.08/5.69 tff(8091,plain,
% 8.08/5.69 (v104(constB34) <=> v1(constB33)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8090, 8072, 488])).
% 8.08/5.69 tff(8092,plain,
% 8.08/5.69 ((~v1(constB33)) <=> (~v1(constB33))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8093,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33')).
% 8.08/5.69 tff(8094,plain,
% 8.08/5.69 (~v1(constB33)),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 8.08/5.69 tff(8095,plain,
% 8.08/5.69 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34)) | v1(constB33)),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8096,plain,
% 8.08/5.69 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8095, 8094])).
% 8.08/5.69 tff(8097,plain,
% 8.08/5.69 (~v104(constB34)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8096, 8091])).
% 8.08/5.69 tff(8098,plain,
% 8.08/5.69 ((~((~v102(constB34)) <=> v104(constB34))) | v102(constB34) | v104(constB34)),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8099,plain,
% 8.08/5.69 (v102(constB34)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8098, 8097, 8087])).
% 8.08/5.69 tff(8100,plain,
% 8.08/5.69 (v1(constB34) <=> v1(constB34)),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8101,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34')).
% 8.08/5.69 tff(8102,plain,
% 8.08/5.69 (v1(constB34)),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 8.08/5.69 tff(8103,plain,
% 8.08/5.69 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v1(constB34)) | (~v102(constB34))),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8104,plain,
% 8.08/5.69 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v102(constB34))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8103, 8102])).
% 8.08/5.69 tff(8105,plain,
% 8.08/5.69 (~((~v1(constB34)) | (~v102(constB34)))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8104, 8099])).
% 8.08/5.69 tff(8106,plain,
% 8.08/5.69 ((~(v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))) | v101(constB34) | ((~v1(constB34)) | (~v102(constB34)))),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8107,plain,
% 8.08/5.69 (v101(constB34)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8106, 8105, 8083])).
% 8.08/5.69 tff(8108,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8109,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8110,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 8.08/5.69 tff(8111,plain,
% 8.08/5.69 (v110(constB34) <=> v108(constB33)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8110, 8072, 518])).
% 8.08/5.69 tff(8112,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB33) <=> (v111(constB33) | v112(constB33)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8113,plain,
% 8.08/5.69 (v108(constB33) <=> (v111(constB33) | v112(constB33))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8112, 529])).
% 8.08/5.69 tff(8114,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8115,plain,
% 8.08/5.69 (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8114, 541])).
% 8.08/5.69 tff(8116,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB33) <=> (v114(constB33) | v125(constB33)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8117,plain,
% 8.08/5.69 (v113(constB33) <=> (v114(constB33) | v125(constB33))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8116, 550])).
% 8.08/5.69 tff(8118,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB33) <=> (v115(constB33) | v124(constB33)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8119,plain,
% 8.08/5.69 (v114(constB33) <=> (v115(constB33) | v124(constB33))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8118, 559])).
% 8.08/5.69 tff(8120,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB33) <=> (v116(constB33) | v123(constB33)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8121,plain,
% 8.08/5.69 (v115(constB33) <=> (v116(constB33) | v123(constB33))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8120, 568])).
% 8.08/5.69 tff(8122,plain,
% 8.08/5.69 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8123,plain,
% 8.08/5.69 ((v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))))) <=> (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8124,plain,
% 8.08/5.69 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))))),
% 8.08/5.69 inference(monotonicity,[status(thm)],[8123])).
% 8.08/5.69 tff(8125,plain,
% 8.08/5.69 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))))),
% 8.08/5.69 inference(transitivity,[status(thm)],[8124, 8122])).
% 8.08/5.69 tff(8126,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8127,plain,
% 8.08/5.69 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8126, 8125])).
% 8.08/5.69 tff(8128,plain,
% 8.08/5.69 (v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8127, 919])).
% 8.08/5.69 tff(8129,plain,
% 8.08/5.69 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8130,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32')).
% 8.08/5.69 tff(8131,plain,
% 8.08/5.69 (nextState(constB32, constB33)),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8130, 8129])).
% 8.08/5.69 tff(8132,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8133,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8134,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8133, 8132])).
% 8.08/5.69 tff(8135,plain,
% 8.08/5.69 (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8134, 8131, 392])).
% 8.08/5.69 tff(8136,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8137,plain,
% 8.08/5.69 (((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8138,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))))),
% 8.08/5.69 inference(monotonicity,[status(thm)],[8137])).
% 8.08/5.69 tff(8139,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 8.08/5.69 inference(transitivity,[status(thm)],[8138, 8136])).
% 8.08/5.69 tff(8140,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8141,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8140, 8139])).
% 8.08/5.69 tff(8142,plain,
% 8.08/5.69 (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8141, 8131, 412])).
% 8.08/5.69 tff(8143,plain,
% 8.08/5.69 (((~v1(constB33)) | (~v102(constB33))) | v1(constB33)),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8144,plain,
% 8.08/5.69 ((~v1(constB33)) | (~v102(constB33))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8143, 8094])).
% 8.08/5.69 tff(8145,plain,
% 8.08/5.69 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33)) | (~((~v1(constB33)) | (~v102(constB33))))),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8146,plain,
% 8.08/5.69 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8145, 8144])).
% 8.08/5.69 tff(8147,plain,
% 8.08/5.69 (~v101(constB33)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8146, 8142])).
% 8.08/5.69 tff(8148,plain,
% 8.08/5.69 (((~v101(constB33)) | (~v110(constB33))) | v101(constB33)),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8149,plain,
% 8.08/5.69 ((~v101(constB33)) | (~v110(constB33))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8148, 8147])).
% 8.08/5.69 tff(8150,plain,
% 8.08/5.69 ((~(v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))) | (~v100(constB33)) | (~((~v101(constB33)) | (~v110(constB33))))),
% 8.08/5.69 inference(tautology,[status(thm)],[])).
% 8.08/5.69 tff(8151,plain,
% 8.08/5.69 (~v100(constB33)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8150, 8149, 8135])).
% 8.08/5.69 tff(8152,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8153,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B))))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8154,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 8.08/5.69 tff(8155,plain,
% 8.08/5.69 (v100(constB33) | ![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8154, 8131, 441])).
% 8.08/5.69 tff(8156,plain,
% 8.08/5.69 (![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8155, 8151])).
% 8.08/5.69 tff(8157,plain,
% 8.08/5.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8158,plain,
% 8.08/5.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)))),
% 8.08/5.69 inference(quant_inst,[status(thm)],[])).
% 8.08/5.69 tff(8159,plain,
% 8.08/5.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2))),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8158, 8157])).
% 8.08/5.69 tff(8160,plain,
% 8.08/5.69 (v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2)),
% 8.08/5.69 inference(unit_resolution,[status(thm)],[8159, 648, 8156])).
% 8.08/5.69 tff(8161,plain,
% 8.08/5.69 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8162,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31')).
% 8.08/5.69 tff(8163,plain,
% 8.08/5.69 (nextState(constB31, constB32)),
% 8.08/5.69 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 8.08/5.69 tff(8164,plain,
% 8.08/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 8.08/5.69 inference(rewrite,[status(thm)],[])).
% 8.08/5.69 tff(8165,plain,
% 8.08/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 8.08/5.70 inference(quant_inst,[status(thm)],[])).
% 8.08/5.70 tff(8166,plain,
% 8.08/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))),
% 8.08/5.70 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 8.08/5.70 tff(8167,plain,
% 8.08/5.70 (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))),
% 8.08/5.70 inference(unit_resolution,[status(thm)],[8166, 8163, 392])).
% 8.08/5.70 tff(8168,plain,
% 8.08/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 8.08/5.70 inference(rewrite,[status(thm)],[])).
% 8.08/5.70 tff(8169,plain,
% 8.08/5.70 (((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 8.08/5.70 inference(rewrite,[status(thm)],[])).
% 8.08/5.70 tff(8170,plain,
% 8.08/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))))),
% 8.08/5.70 inference(monotonicity,[status(thm)],[8169])).
% 8.08/5.70 tff(8171,plain,
% 8.08/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 8.08/5.70 inference(transitivity,[status(thm)],[8170, 8168])).
% 8.08/5.70 tff(8172,plain,
% 8.08/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))),
% 8.08/5.70 inference(quant_inst,[status(thm)],[])).
% 8.08/5.70 tff(8173,plain,
% 8.08/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))),
% 8.08/5.70 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 8.08/5.70 tff(8174,plain,
% 8.08/5.70 (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))),
% 8.08/5.70 inference(unit_resolution,[status(thm)],[8173, 8163, 412])).
% 8.08/5.70 tff(8175,plain,
% 8.08/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))),
% 8.08/5.70 inference(rewrite,[status(thm)],[])).
% 8.08/5.70 tff(8176,plain,
% 8.08/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))),
% 8.08/5.70 inference(quant_inst,[status(thm)],[])).
% 8.08/5.70 tff(8177,plain,
% 8.08/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32))),
% 8.08/5.70 inference(modus_ponens,[status(thm)],[8176, 8175])).
% 8.08/5.70 tff(8178,plain,
% 8.08/5.70 ((~v102(constB32)) <=> v104(constB32)),
% 8.08/5.70 inference(unit_resolution,[status(thm)],[8177, 8163, 474])).
% 8.08/5.70 tff(8179,plain,
% 8.08/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 8.08/5.70 inference(rewrite,[status(thm)],[])).
% 8.08/5.70 tff(8180,plain,
% 8.08/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 8.08/5.70 inference(quant_inst,[status(thm)],[])).
% 8.08/5.70 tff(8181,plain,
% 8.08/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31))),
% 8.08/5.70 inference(modus_ponens,[status(thm)],[8180, 8179])).
% 8.08/5.70 tff(8182,plain,
% 8.08/5.70 (v104(constB32) <=> v1(constB31)),
% 8.08/5.70 inference(unit_resolution,[status(thm)],[8181, 8163, 488])).
% 8.08/5.70 tff(8183,plain,
% 8.08/5.70 ((~v1(constB31)) <=> (~v1(constB31))),
% 8.08/5.70 inference(rewrite,[status(thm)],[])).
% 8.08/5.70 tff(8184,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31')).
% 8.08/5.70 tff(8185,plain,
% 8.08/5.70 (~v1(constB31)),
% 8.08/5.70 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 8.08/5.70 tff(8186,plain,
% 8.08/5.70 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32)) | v1(constB31)),
% 8.08/5.70 inference(tautology,[status(thm)],[])).
% 8.08/5.70 tff(8187,plain,
% 8.08/5.70 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32))),
% 8.08/5.70 inference(unit_resolution,[status(thm)],[8186, 8185])).
% 8.08/5.70 tff(8188,plain,
% 8.08/5.70 (~v104(constB32)),
% 8.08/5.70 inference(unit_resolution,[status(thm)],[8187, 8182])).
% 8.08/5.70 tff(8189,plain,
% 8.08/5.70 ((~((~v102(constB32)) <=> v104(constB32))) | v102(constB32) | v104(constB32)),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8190,plain,
% 8.12/5.70 (v102(constB32)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8189, 8188, 8178])).
% 8.12/5.70 tff(8191,plain,
% 8.12/5.70 (v1(constB32) <=> v1(constB32)),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8192,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32')).
% 8.12/5.70 tff(8193,plain,
% 8.12/5.70 (v1(constB32)),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 8.12/5.70 tff(8194,plain,
% 8.12/5.70 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v1(constB32)) | (~v102(constB32))),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8195,plain,
% 8.12/5.70 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v102(constB32))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8194, 8193])).
% 8.12/5.70 tff(8196,plain,
% 8.12/5.70 (~((~v1(constB32)) | (~v102(constB32)))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8195, 8190])).
% 8.12/5.70 tff(8197,plain,
% 8.12/5.70 ((~(v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))) | v101(constB32) | ((~v1(constB32)) | (~v102(constB32)))),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8198,plain,
% 8.12/5.70 (v101(constB32)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8197, 8196, 8174])).
% 8.12/5.70 tff(8199,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8200,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8201,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8200, 8199])).
% 8.12/5.70 tff(8202,plain,
% 8.12/5.70 (v110(constB32) <=> v108(constB31)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8201, 8163, 518])).
% 8.12/5.70 tff(8203,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB31) <=> (v111(constB31) | v112(constB31)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8204,plain,
% 8.12/5.70 (v108(constB31) <=> (v111(constB31) | v112(constB31))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8203, 529])).
% 8.12/5.70 tff(8205,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8206,plain,
% 8.12/5.70 (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31))))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8205, 541])).
% 8.12/5.70 tff(8207,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB31) <=> (v114(constB31) | v125(constB31)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8208,plain,
% 8.12/5.70 (v113(constB31) <=> (v114(constB31) | v125(constB31))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8207, 550])).
% 8.12/5.70 tff(8209,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB31) <=> (v115(constB31) | v124(constB31)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8210,plain,
% 8.12/5.70 (v114(constB31) <=> (v115(constB31) | v124(constB31))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8209, 559])).
% 8.12/5.70 tff(8211,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB31) <=> (v116(constB31) | v123(constB31)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8212,plain,
% 8.12/5.70 (v115(constB31) <=> (v116(constB31) | v123(constB31))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8211, 568])).
% 8.12/5.70 tff(8213,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB31) <=> (v117(constB31) | v122(constB31)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8214,plain,
% 8.12/5.70 (v116(constB31) <=> (v117(constB31) | v122(constB31))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8213, 577])).
% 8.12/5.70 tff(8215,plain,
% 8.12/5.70 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8216,plain,
% 8.12/5.70 ((v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1))))) <=> (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8217,plain,
% 8.12/5.70 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 8.12/5.70 inference(monotonicity,[status(thm)],[8216])).
% 8.12/5.70 tff(8218,plain,
% 8.12/5.70 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 8.12/5.70 inference(transitivity,[status(thm)],[8217, 8215])).
% 8.12/5.70 tff(8219,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8220,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 8.12/5.70 tff(8221,plain,
% 8.12/5.70 (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8220, 1025])).
% 8.12/5.70 tff(8222,plain,
% 8.12/5.70 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8223,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30')).
% 8.12/5.70 tff(8224,plain,
% 8.12/5.70 (nextState(constB30, constB31)),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8223, 8222])).
% 8.12/5.70 tff(8225,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8226,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8227,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8226, 8225])).
% 8.12/5.70 tff(8228,plain,
% 8.12/5.70 (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8227, 8224, 392])).
% 8.12/5.70 tff(8229,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8230,plain,
% 8.12/5.70 (((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8231,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))))),
% 8.12/5.70 inference(monotonicity,[status(thm)],[8230])).
% 8.12/5.70 tff(8232,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 8.12/5.70 inference(transitivity,[status(thm)],[8231, 8229])).
% 8.12/5.70 tff(8233,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8234,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8233, 8232])).
% 8.12/5.70 tff(8235,plain,
% 8.12/5.70 (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8234, 8224, 412])).
% 8.12/5.70 tff(8236,plain,
% 8.12/5.70 (((~v1(constB31)) | (~v102(constB31))) | v1(constB31)),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8237,plain,
% 8.12/5.70 ((~v1(constB31)) | (~v102(constB31))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8236, 8185])).
% 8.12/5.70 tff(8238,plain,
% 8.12/5.70 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31)) | (~((~v1(constB31)) | (~v102(constB31))))),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8239,plain,
% 8.12/5.70 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8238, 8237])).
% 8.12/5.70 tff(8240,plain,
% 8.12/5.70 (~v101(constB31)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8239, 8235])).
% 8.12/5.70 tff(8241,plain,
% 8.12/5.70 (((~v101(constB31)) | (~v110(constB31))) | v101(constB31)),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8242,plain,
% 8.12/5.70 ((~v101(constB31)) | (~v110(constB31))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8241, 8240])).
% 8.12/5.70 tff(8243,plain,
% 8.12/5.70 ((~(v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))) | (~v100(constB31)) | (~((~v101(constB31)) | (~v110(constB31))))),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8244,plain,
% 8.12/5.70 (~v100(constB31)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8243, 8242, 8228])).
% 8.12/5.70 tff(8245,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8246,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8247,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 8.12/5.70 tff(8248,plain,
% 8.12/5.70 (v100(constB31) | ![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8247, 8224, 441])).
% 8.12/5.70 tff(8249,plain,
% 8.12/5.70 (![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8248, 8244])).
% 8.12/5.70 tff(8250,plain,
% 8.12/5.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8251,plain,
% 8.12/5.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8252,plain,
% 8.12/5.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 8.12/5.70 tff(8253,plain,
% 8.12/5.70 (v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8252, 648, 8249])).
% 8.12/5.70 tff(8254,plain,
% 8.12/5.70 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8255,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29')).
% 8.12/5.70 tff(8256,plain,
% 8.12/5.70 (nextState(constB29, constB30)),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 8.12/5.70 tff(8257,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8258,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8259,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8258, 8257])).
% 8.12/5.70 tff(8260,plain,
% 8.12/5.70 (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8259, 8256, 392])).
% 8.12/5.70 tff(8261,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8262,plain,
% 8.12/5.70 (((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8263,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))))),
% 8.12/5.70 inference(monotonicity,[status(thm)],[8262])).
% 8.12/5.70 tff(8264,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 8.12/5.70 inference(transitivity,[status(thm)],[8263, 8261])).
% 8.12/5.70 tff(8265,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8266,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8265, 8264])).
% 8.12/5.70 tff(8267,plain,
% 8.12/5.70 (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8266, 8256, 412])).
% 8.12/5.70 tff(8268,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8269,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8270,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8269, 8268])).
% 8.12/5.70 tff(8271,plain,
% 8.12/5.70 ((~v102(constB30)) <=> v104(constB30)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8270, 8256, 474])).
% 8.12/5.70 tff(8272,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8273,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8274,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 8.12/5.70 tff(8275,plain,
% 8.12/5.70 (v104(constB30) <=> v1(constB29)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8274, 8256, 488])).
% 8.12/5.70 tff(8276,plain,
% 8.12/5.70 ((~v1(constB29)) <=> (~v1(constB29))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8277,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29')).
% 8.12/5.70 tff(8278,plain,
% 8.12/5.70 (~v1(constB29)),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8277, 8276])).
% 8.12/5.70 tff(8279,plain,
% 8.12/5.70 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30)) | v1(constB29)),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8280,plain,
% 8.12/5.70 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8279, 8278])).
% 8.12/5.70 tff(8281,plain,
% 8.12/5.70 (~v104(constB30)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8280, 8275])).
% 8.12/5.70 tff(8282,plain,
% 8.12/5.70 ((~((~v102(constB30)) <=> v104(constB30))) | v102(constB30) | v104(constB30)),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8283,plain,
% 8.12/5.70 (v102(constB30)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8282, 8281, 8271])).
% 8.12/5.70 tff(8284,plain,
% 8.12/5.70 (v1(constB30) <=> v1(constB30)),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8285,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30')).
% 8.12/5.70 tff(8286,plain,
% 8.12/5.70 (v1(constB30)),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8285, 8284])).
% 8.12/5.70 tff(8287,plain,
% 8.12/5.70 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v1(constB30)) | (~v102(constB30))),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8288,plain,
% 8.12/5.70 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v102(constB30))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8287, 8286])).
% 8.12/5.70 tff(8289,plain,
% 8.12/5.70 (~((~v1(constB30)) | (~v102(constB30)))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8288, 8283])).
% 8.12/5.70 tff(8290,plain,
% 8.12/5.70 ((~(v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))) | v101(constB30) | ((~v1(constB30)) | (~v102(constB30)))),
% 8.12/5.70 inference(tautology,[status(thm)],[])).
% 8.12/5.70 tff(8291,plain,
% 8.12/5.70 (v101(constB30)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8290, 8289, 8267])).
% 8.12/5.70 tff(8292,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8293,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8294,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8293, 8292])).
% 8.12/5.70 tff(8295,plain,
% 8.12/5.70 (v110(constB30) <=> v108(constB29)),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8294, 8256, 518])).
% 8.12/5.70 tff(8296,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB29) <=> (v111(constB29) | v112(constB29)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8297,plain,
% 8.12/5.70 (v108(constB29) <=> (v111(constB29) | v112(constB29))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8296, 529])).
% 8.12/5.70 tff(8298,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8299,plain,
% 8.12/5.70 (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29))))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8298, 541])).
% 8.12/5.70 tff(8300,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB29) <=> (v114(constB29) | v125(constB29)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8301,plain,
% 8.12/5.70 (v113(constB29) <=> (v114(constB29) | v125(constB29))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8300, 550])).
% 8.12/5.70 tff(8302,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB29) <=> (v115(constB29) | v124(constB29)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8303,plain,
% 8.12/5.70 (v114(constB29) <=> (v115(constB29) | v124(constB29))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8302, 559])).
% 8.12/5.70 tff(8304,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB29) <=> (v116(constB29) | v123(constB29)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8305,plain,
% 8.12/5.70 (v115(constB29) <=> (v116(constB29) | v123(constB29))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8304, 568])).
% 8.12/5.70 tff(8306,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB29) <=> (v117(constB29) | v122(constB29)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8307,plain,
% 8.12/5.70 (v116(constB29) <=> (v117(constB29) | v122(constB29))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8306, 577])).
% 8.12/5.70 tff(8308,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB29) <=> (v118(constB29) | v121(constB29)))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8309,plain,
% 8.12/5.70 (v117(constB29) <=> (v118(constB29) | v121(constB29))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8308, 586])).
% 8.12/5.70 tff(8310,plain,
% 8.12/5.70 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8311,plain,
% 8.12/5.70 ((v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1))))) <=> (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8312,plain,
% 8.12/5.70 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))))),
% 8.12/5.70 inference(monotonicity,[status(thm)],[8311])).
% 8.12/5.70 tff(8313,plain,
% 8.12/5.70 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))))),
% 8.12/5.70 inference(transitivity,[status(thm)],[8312, 8310])).
% 8.12/5.70 tff(8314,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))),
% 8.12/5.70 inference(quant_inst,[status(thm)],[])).
% 8.12/5.70 tff(8315,plain,
% 8.12/5.70 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 8.12/5.70 tff(8316,plain,
% 8.12/5.70 (v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)))),
% 8.12/5.70 inference(unit_resolution,[status(thm)],[8315, 1133])).
% 8.12/5.70 tff(8317,plain,
% 8.12/5.70 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8318,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28')).
% 8.12/5.70 tff(8319,plain,
% 8.12/5.70 (nextState(constB28, constB29)),
% 8.12/5.70 inference(modus_ponens,[status(thm)],[8318, 8317])).
% 8.12/5.70 tff(8320,plain,
% 8.12/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 8.12/5.70 inference(rewrite,[status(thm)],[])).
% 8.12/5.70 tff(8321,plain,
% 8.12/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8322,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8321, 8320])).
% 8.12/5.71 tff(8323,plain,
% 8.12/5.71 (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8322, 8319, 392])).
% 8.12/5.71 tff(8324,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8325,plain,
% 8.12/5.71 (((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8326,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))))),
% 8.12/5.71 inference(monotonicity,[status(thm)],[8325])).
% 8.12/5.71 tff(8327,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 8.12/5.71 inference(transitivity,[status(thm)],[8326, 8324])).
% 8.12/5.71 tff(8328,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8329,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 8.12/5.71 tff(8330,plain,
% 8.12/5.71 (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8329, 8319, 412])).
% 8.12/5.71 tff(8331,plain,
% 8.12/5.71 (((~v1(constB29)) | (~v102(constB29))) | v1(constB29)),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8332,plain,
% 8.12/5.71 ((~v1(constB29)) | (~v102(constB29))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8331, 8278])).
% 8.12/5.71 tff(8333,plain,
% 8.12/5.71 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29)) | (~((~v1(constB29)) | (~v102(constB29))))),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8334,plain,
% 8.12/5.71 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8333, 8332])).
% 8.12/5.71 tff(8335,plain,
% 8.12/5.71 (~v101(constB29)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8334, 8330])).
% 8.12/5.71 tff(8336,plain,
% 8.12/5.71 (((~v101(constB29)) | (~v110(constB29))) | v101(constB29)),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8337,plain,
% 8.12/5.71 ((~v101(constB29)) | (~v110(constB29))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8336, 8335])).
% 8.12/5.71 tff(8338,plain,
% 8.12/5.71 ((~(v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))) | (~v100(constB29)) | (~((~v101(constB29)) | (~v110(constB29))))),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8339,plain,
% 8.12/5.71 (~v100(constB29)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8338, 8337, 8323])).
% 8.12/5.71 tff(8340,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8341,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8342,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8341, 8340])).
% 8.12/5.71 tff(8343,plain,
% 8.12/5.71 (v100(constB29) | ![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8342, 8319, 441])).
% 8.12/5.71 tff(8344,plain,
% 8.12/5.71 (![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8343, 8339])).
% 8.12/5.71 tff(8345,plain,
% 8.12/5.71 (((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8346,plain,
% 8.12/5.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8347,plain,
% 8.12/5.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8346, 8345])).
% 8.12/5.71 tff(8348,plain,
% 8.12/5.71 (v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8347, 648, 8344])).
% 8.12/5.71 tff(8349,plain,
% 8.12/5.71 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8350,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27')).
% 8.12/5.71 tff(8351,plain,
% 8.12/5.71 (nextState(constB27, constB28)),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 8.12/5.71 tff(8352,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8353,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8354,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 8.12/5.71 tff(8355,plain,
% 8.12/5.71 (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8354, 8351, 392])).
% 8.12/5.71 tff(8356,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8357,plain,
% 8.12/5.71 (((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8358,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))))),
% 8.12/5.71 inference(monotonicity,[status(thm)],[8357])).
% 8.12/5.71 tff(8359,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 8.12/5.71 inference(transitivity,[status(thm)],[8358, 8356])).
% 8.12/5.71 tff(8360,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8361,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8360, 8359])).
% 8.12/5.71 tff(8362,plain,
% 8.12/5.71 (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8361, 8351, 412])).
% 8.12/5.71 tff(8363,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8364,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8365,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 8.12/5.71 tff(8366,plain,
% 8.12/5.71 ((~v102(constB28)) <=> v104(constB28)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8365, 8351, 474])).
% 8.12/5.71 tff(8367,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8368,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8369,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8368, 8367])).
% 8.12/5.71 tff(8370,plain,
% 8.12/5.71 (v104(constB28) <=> v1(constB27)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8369, 8351, 488])).
% 8.12/5.71 tff(8371,plain,
% 8.12/5.71 ((~v1(constB27)) <=> (~v1(constB27))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8372,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27')).
% 8.12/5.71 tff(8373,plain,
% 8.12/5.71 (~v1(constB27)),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 8.12/5.71 tff(8374,plain,
% 8.12/5.71 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28)) | v1(constB27)),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8375,plain,
% 8.12/5.71 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8374, 8373])).
% 8.12/5.71 tff(8376,plain,
% 8.12/5.71 (~v104(constB28)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8375, 8370])).
% 8.12/5.71 tff(8377,plain,
% 8.12/5.71 ((~((~v102(constB28)) <=> v104(constB28))) | v102(constB28) | v104(constB28)),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8378,plain,
% 8.12/5.71 (v102(constB28)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8377, 8376, 8366])).
% 8.12/5.71 tff(8379,plain,
% 8.12/5.71 (v1(constB28) <=> v1(constB28)),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8380,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28')).
% 8.12/5.71 tff(8381,plain,
% 8.12/5.71 (v1(constB28)),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 8.12/5.71 tff(8382,plain,
% 8.12/5.71 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v1(constB28)) | (~v102(constB28))),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8383,plain,
% 8.12/5.71 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v102(constB28))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8382, 8381])).
% 8.12/5.71 tff(8384,plain,
% 8.12/5.71 (~((~v1(constB28)) | (~v102(constB28)))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8383, 8378])).
% 8.12/5.71 tff(8385,plain,
% 8.12/5.71 ((~(v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))) | v101(constB28) | ((~v1(constB28)) | (~v102(constB28)))),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8386,plain,
% 8.12/5.71 (v101(constB28)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8385, 8384, 8362])).
% 8.12/5.71 tff(8387,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8388,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8389,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 8.12/5.71 tff(8390,plain,
% 8.12/5.71 (v110(constB28) <=> v108(constB27)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8389, 8351, 518])).
% 8.12/5.71 tff(8391,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB27) <=> (v111(constB27) | v112(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8392,plain,
% 8.12/5.71 (v108(constB27) <=> (v111(constB27) | v112(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8391, 529])).
% 8.12/5.71 tff(8393,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8394,plain,
% 8.12/5.71 (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8393, 541])).
% 8.12/5.71 tff(8395,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB27) <=> (v114(constB27) | v125(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8396,plain,
% 8.12/5.71 (v113(constB27) <=> (v114(constB27) | v125(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8395, 550])).
% 8.12/5.71 tff(8397,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB27) <=> (v115(constB27) | v124(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8398,plain,
% 8.12/5.71 (v114(constB27) <=> (v115(constB27) | v124(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8397, 559])).
% 8.12/5.71 tff(8399,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB27) <=> (v116(constB27) | v123(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8400,plain,
% 8.12/5.71 (v115(constB27) <=> (v116(constB27) | v123(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8399, 568])).
% 8.12/5.71 tff(8401,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB27) <=> (v117(constB27) | v122(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8402,plain,
% 8.12/5.71 (v116(constB27) <=> (v117(constB27) | v122(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8401, 577])).
% 8.12/5.71 tff(8403,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB27) <=> (v118(constB27) | v121(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8404,plain,
% 8.12/5.71 (v117(constB27) <=> (v118(constB27) | v121(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8403, 586])).
% 8.12/5.71 tff(8405,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB27) <=> (v119(constB27) | v120(constB27)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8406,plain,
% 8.12/5.71 (v118(constB27) <=> (v119(constB27) | v120(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8405, 595])).
% 8.12/5.71 tff(8407,plain,
% 8.12/5.71 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8408,plain,
% 8.12/5.71 ((v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0))))) <=> (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8409,plain,
% 8.12/5.71 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))))),
% 8.12/5.71 inference(monotonicity,[status(thm)],[8408])).
% 8.12/5.71 tff(8410,plain,
% 8.12/5.71 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))))),
% 8.12/5.71 inference(transitivity,[status(thm)],[8409, 8407])).
% 8.12/5.71 tff(8411,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8412,plain,
% 8.12/5.71 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8411, 8410])).
% 8.12/5.71 tff(8413,plain,
% 8.12/5.71 (v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8412, 610])).
% 8.12/5.71 tff(8414,plain,
% 8.12/5.71 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8415,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26')).
% 8.12/5.71 tff(8416,plain,
% 8.12/5.71 (nextState(constB26, constB27)),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8415, 8414])).
% 8.12/5.71 tff(8417,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8418,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8419,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8418, 8417])).
% 8.12/5.71 tff(8420,plain,
% 8.12/5.71 (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8419, 8416, 392])).
% 8.12/5.71 tff(8421,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8422,plain,
% 8.12/5.71 (((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8423,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))))),
% 8.12/5.71 inference(monotonicity,[status(thm)],[8422])).
% 8.12/5.71 tff(8424,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 8.12/5.71 inference(transitivity,[status(thm)],[8423, 8421])).
% 8.12/5.71 tff(8425,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8426,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 8.12/5.71 tff(8427,plain,
% 8.12/5.71 (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8426, 8416, 412])).
% 8.12/5.71 tff(8428,plain,
% 8.12/5.71 (((~v1(constB27)) | (~v102(constB27))) | v1(constB27)),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8429,plain,
% 8.12/5.71 ((~v1(constB27)) | (~v102(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8428, 8373])).
% 8.12/5.71 tff(8430,plain,
% 8.12/5.71 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27)) | (~((~v1(constB27)) | (~v102(constB27))))),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8431,plain,
% 8.12/5.71 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8430, 8429])).
% 8.12/5.71 tff(8432,plain,
% 8.12/5.71 (~v101(constB27)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8431, 8427])).
% 8.12/5.71 tff(8433,plain,
% 8.12/5.71 (((~v101(constB27)) | (~v110(constB27))) | v101(constB27)),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8434,plain,
% 8.12/5.71 ((~v101(constB27)) | (~v110(constB27))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8433, 8432])).
% 8.12/5.71 tff(8435,plain,
% 8.12/5.71 ((~(v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))) | (~v100(constB27)) | (~((~v101(constB27)) | (~v110(constB27))))),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8436,plain,
% 8.12/5.71 (~v100(constB27)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8435, 8434, 8420])).
% 8.12/5.71 tff(8437,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8438,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8439,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 8.12/5.71 tff(8440,plain,
% 8.12/5.71 (v100(constB27) | ![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8439, 8416, 441])).
% 8.12/5.71 tff(8441,plain,
% 8.12/5.71 (![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8440, 8436])).
% 8.12/5.71 tff(8442,plain,
% 8.12/5.71 (((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8443,plain,
% 8.12/5.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8444,plain,
% 8.12/5.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 8.12/5.71 tff(8445,plain,
% 8.12/5.71 (v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8444, 648, 8441])).
% 8.12/5.71 tff(8446,plain,
% 8.12/5.71 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8447,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25')).
% 8.12/5.71 tff(8448,plain,
% 8.12/5.71 (nextState(constB25, constB26)),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 8.12/5.71 tff(8449,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8450,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8451,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8450, 8449])).
% 8.12/5.71 tff(8452,plain,
% 8.12/5.71 (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8451, 8448, 392])).
% 8.12/5.71 tff(8453,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8454,plain,
% 8.12/5.71 (((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8455,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))))),
% 8.12/5.71 inference(monotonicity,[status(thm)],[8454])).
% 8.12/5.71 tff(8456,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 8.12/5.71 inference(transitivity,[status(thm)],[8455, 8453])).
% 8.12/5.71 tff(8457,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8458,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8457, 8456])).
% 8.12/5.71 tff(8459,plain,
% 8.12/5.71 (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8458, 8448, 412])).
% 8.12/5.71 tff(8460,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8461,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8462,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 8.12/5.71 tff(8463,plain,
% 8.12/5.71 ((~v102(constB26)) <=> v104(constB26)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8462, 8448, 474])).
% 8.12/5.71 tff(8464,plain,
% 8.12/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8465,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 8.12/5.71 inference(quant_inst,[status(thm)],[])).
% 8.12/5.71 tff(8466,plain,
% 8.12/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25))),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8465, 8464])).
% 8.12/5.71 tff(8467,plain,
% 8.12/5.71 (v104(constB26) <=> v1(constB25)),
% 8.12/5.71 inference(unit_resolution,[status(thm)],[8466, 8448, 488])).
% 8.12/5.71 tff(8468,plain,
% 8.12/5.71 ((~v1(constB25)) <=> (~v1(constB25))),
% 8.12/5.71 inference(rewrite,[status(thm)],[])).
% 8.12/5.71 tff(8469,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25')).
% 8.12/5.71 tff(8470,plain,
% 8.12/5.71 (~v1(constB25)),
% 8.12/5.71 inference(modus_ponens,[status(thm)],[8469, 8468])).
% 8.12/5.71 tff(8471,plain,
% 8.12/5.71 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26)) | v1(constB25)),
% 8.12/5.71 inference(tautology,[status(thm)],[])).
% 8.12/5.71 tff(8472,plain,
% 8.12/5.71 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8471, 8470])).
% 8.12/5.72 tff(8473,plain,
% 8.12/5.72 (~v104(constB26)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8472, 8467])).
% 8.12/5.72 tff(8474,plain,
% 8.12/5.72 ((~((~v102(constB26)) <=> v104(constB26))) | v102(constB26) | v104(constB26)),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8475,plain,
% 8.12/5.72 (v102(constB26)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8474, 8473, 8463])).
% 8.12/5.72 tff(8476,plain,
% 8.12/5.72 (v1(constB26) <=> v1(constB26)),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8477,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26')).
% 8.12/5.72 tff(8478,plain,
% 8.12/5.72 (v1(constB26)),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8477, 8476])).
% 8.12/5.72 tff(8479,plain,
% 8.12/5.72 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v1(constB26)) | (~v102(constB26))),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8480,plain,
% 8.12/5.72 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v102(constB26))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8479, 8478])).
% 8.12/5.72 tff(8481,plain,
% 8.12/5.72 (~((~v1(constB26)) | (~v102(constB26)))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8480, 8475])).
% 8.12/5.72 tff(8482,plain,
% 8.12/5.72 ((~(v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))) | v101(constB26) | ((~v1(constB26)) | (~v102(constB26)))),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8483,plain,
% 8.12/5.72 (v101(constB26)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8482, 8481, 8459])).
% 8.12/5.72 tff(8484,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8485,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8486,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8485, 8484])).
% 8.12/5.72 tff(8487,plain,
% 8.12/5.72 (v110(constB26) <=> v108(constB25)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8486, 8448, 518])).
% 8.12/5.72 tff(8488,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB25) <=> (v111(constB25) | v112(constB25)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8489,plain,
% 8.12/5.72 (v108(constB25) <=> (v111(constB25) | v112(constB25))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8488, 529])).
% 8.12/5.72 tff(8490,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8491,plain,
% 8.12/5.72 (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8490, 541])).
% 8.12/5.72 tff(8492,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB25) <=> (v114(constB25) | v125(constB25)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8493,plain,
% 8.12/5.72 (v113(constB25) <=> (v114(constB25) | v125(constB25))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8492, 550])).
% 8.12/5.72 tff(8494,plain,
% 8.12/5.72 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8495,plain,
% 8.12/5.72 ((v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2))))) <=> (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8496,plain,
% 8.12/5.72 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 8.12/5.72 inference(monotonicity,[status(thm)],[8495])).
% 8.12/5.72 tff(8497,plain,
% 8.12/5.72 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 8.12/5.72 inference(transitivity,[status(thm)],[8496, 8494])).
% 8.12/5.72 tff(8498,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8499,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8498, 8497])).
% 8.12/5.72 tff(8500,plain,
% 8.12/5.72 (v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8499, 713])).
% 8.12/5.72 tff(8501,plain,
% 8.12/5.72 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8502,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24')).
% 8.12/5.72 tff(8503,plain,
% 8.12/5.72 (nextState(constB24, constB25)),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8502, 8501])).
% 8.12/5.72 tff(8504,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8505,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8506,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 8.12/5.72 tff(8507,plain,
% 8.12/5.72 (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8506, 8503, 392])).
% 8.12/5.72 tff(8508,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8509,plain,
% 8.12/5.72 (((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8510,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))))),
% 8.12/5.72 inference(monotonicity,[status(thm)],[8509])).
% 8.12/5.72 tff(8511,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 8.12/5.72 inference(transitivity,[status(thm)],[8510, 8508])).
% 8.12/5.72 tff(8512,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8513,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8512, 8511])).
% 8.12/5.72 tff(8514,plain,
% 8.12/5.72 (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8513, 8503, 412])).
% 8.12/5.72 tff(8515,plain,
% 8.12/5.72 (((~v1(constB25)) | (~v102(constB25))) | v1(constB25)),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8516,plain,
% 8.12/5.72 ((~v1(constB25)) | (~v102(constB25))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8515, 8470])).
% 8.12/5.72 tff(8517,plain,
% 8.12/5.72 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25)) | (~((~v1(constB25)) | (~v102(constB25))))),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8518,plain,
% 8.12/5.72 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8517, 8516])).
% 8.12/5.72 tff(8519,plain,
% 8.12/5.72 (~v101(constB25)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8518, 8514])).
% 8.12/5.72 tff(8520,plain,
% 8.12/5.72 (((~v101(constB25)) | (~v110(constB25))) | v101(constB25)),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8521,plain,
% 8.12/5.72 ((~v101(constB25)) | (~v110(constB25))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8520, 8519])).
% 8.12/5.72 tff(8522,plain,
% 8.12/5.72 ((~(v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))) | (~v100(constB25)) | (~((~v101(constB25)) | (~v110(constB25))))),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8523,plain,
% 8.12/5.72 (~v100(constB25)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8522, 8521, 8507])).
% 8.12/5.72 tff(8524,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8525,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8526,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8525, 8524])).
% 8.12/5.72 tff(8527,plain,
% 8.12/5.72 (v100(constB25) | ![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8526, 8503, 441])).
% 8.12/5.72 tff(8528,plain,
% 8.12/5.72 (![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8527, 8523])).
% 8.12/5.72 tff(8529,plain,
% 8.12/5.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8530,plain,
% 8.12/5.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8531,plain,
% 8.12/5.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8530, 8529])).
% 8.12/5.72 tff(8532,plain,
% 8.12/5.72 (v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8531, 648, 8528])).
% 8.12/5.72 tff(8533,plain,
% 8.12/5.72 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8534,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23')).
% 8.12/5.72 tff(8535,plain,
% 8.12/5.72 (nextState(constB23, constB24)),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8534, 8533])).
% 8.12/5.72 tff(8536,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8537,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8538,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8537, 8536])).
% 8.12/5.72 tff(8539,plain,
% 8.12/5.72 (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8538, 8535, 392])).
% 8.12/5.72 tff(8540,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8541,plain,
% 8.12/5.72 (((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8542,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))))),
% 8.12/5.72 inference(monotonicity,[status(thm)],[8541])).
% 8.12/5.72 tff(8543,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 8.12/5.72 inference(transitivity,[status(thm)],[8542, 8540])).
% 8.12/5.72 tff(8544,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8545,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 8.12/5.72 tff(8546,plain,
% 8.12/5.72 (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8545, 8535, 412])).
% 8.12/5.72 tff(8547,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8548,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8549,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 8.12/5.72 tff(8550,plain,
% 8.12/5.72 ((~v102(constB24)) <=> v104(constB24)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8549, 8535, 474])).
% 8.12/5.72 tff(8551,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8552,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8553,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8552, 8551])).
% 8.12/5.72 tff(8554,plain,
% 8.12/5.72 (v104(constB24) <=> v1(constB23)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8553, 8535, 488])).
% 8.12/5.72 tff(8555,plain,
% 8.12/5.72 ((~v1(constB23)) <=> (~v1(constB23))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8556,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23')).
% 8.12/5.72 tff(8557,plain,
% 8.12/5.72 (~v1(constB23)),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8556, 8555])).
% 8.12/5.72 tff(8558,plain,
% 8.12/5.72 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24)) | v1(constB23)),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8559,plain,
% 8.12/5.72 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8558, 8557])).
% 8.12/5.72 tff(8560,plain,
% 8.12/5.72 (~v104(constB24)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8559, 8554])).
% 8.12/5.72 tff(8561,plain,
% 8.12/5.72 ((~((~v102(constB24)) <=> v104(constB24))) | v102(constB24) | v104(constB24)),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8562,plain,
% 8.12/5.72 (v102(constB24)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8561, 8560, 8550])).
% 8.12/5.72 tff(8563,plain,
% 8.12/5.72 (v1(constB24) <=> v1(constB24)),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8564,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24')).
% 8.12/5.72 tff(8565,plain,
% 8.12/5.72 (v1(constB24)),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8564, 8563])).
% 8.12/5.72 tff(8566,plain,
% 8.12/5.72 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v1(constB24)) | (~v102(constB24))),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8567,plain,
% 8.12/5.72 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v102(constB24))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8566, 8565])).
% 8.12/5.72 tff(8568,plain,
% 8.12/5.72 (~((~v1(constB24)) | (~v102(constB24)))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8567, 8562])).
% 8.12/5.72 tff(8569,plain,
% 8.12/5.72 ((~(v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))) | v101(constB24) | ((~v1(constB24)) | (~v102(constB24)))),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8570,plain,
% 8.12/5.72 (v101(constB24)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8569, 8568, 8546])).
% 8.12/5.72 tff(8571,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8572,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8573,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8572, 8571])).
% 8.12/5.72 tff(8574,plain,
% 8.12/5.72 (v110(constB24) <=> v108(constB23)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8573, 8535, 518])).
% 8.12/5.72 tff(8575,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB23) <=> (v111(constB23) | v112(constB23)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8576,plain,
% 8.12/5.72 (v108(constB23) <=> (v111(constB23) | v112(constB23))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8575, 529])).
% 8.12/5.72 tff(8577,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8578,plain,
% 8.12/5.72 (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8577, 541])).
% 8.12/5.72 tff(8579,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB23) <=> (v114(constB23) | v125(constB23)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8580,plain,
% 8.12/5.72 (v113(constB23) <=> (v114(constB23) | v125(constB23))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8579, 550])).
% 8.12/5.72 tff(8581,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB23) <=> (v115(constB23) | v124(constB23)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8582,plain,
% 8.12/5.72 (v114(constB23) <=> (v115(constB23) | v124(constB23))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8581, 559])).
% 8.12/5.72 tff(8583,plain,
% 8.12/5.72 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8584,plain,
% 8.12/5.72 ((v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2))))) <=> (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8585,plain,
% 8.12/5.72 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0))))))),
% 8.12/5.72 inference(monotonicity,[status(thm)],[8584])).
% 8.12/5.72 tff(8586,plain,
% 8.12/5.72 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0))))))),
% 8.12/5.72 inference(transitivity,[status(thm)],[8585, 8583])).
% 8.12/5.72 tff(8587,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2)))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8588,plain,
% 8.12/5.72 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8587, 8586])).
% 8.12/5.72 tff(8589,plain,
% 8.12/5.72 (v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8588, 815])).
% 8.12/5.72 tff(8590,plain,
% 8.12/5.72 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8591,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22')).
% 8.12/5.72 tff(8592,plain,
% 8.12/5.72 (nextState(constB22, constB23)),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8591, 8590])).
% 8.12/5.72 tff(8593,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8594,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8595,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 8.12/5.72 tff(8596,plain,
% 8.12/5.72 (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8595, 8592, 392])).
% 8.12/5.72 tff(8597,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8598,plain,
% 8.12/5.72 (((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8599,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))))),
% 8.12/5.72 inference(monotonicity,[status(thm)],[8598])).
% 8.12/5.72 tff(8600,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 8.12/5.72 inference(transitivity,[status(thm)],[8599, 8597])).
% 8.12/5.72 tff(8601,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8602,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8601, 8600])).
% 8.12/5.72 tff(8603,plain,
% 8.12/5.72 (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8602, 8592, 412])).
% 8.12/5.72 tff(8604,plain,
% 8.12/5.72 (((~v1(constB23)) | (~v102(constB23))) | v1(constB23)),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8605,plain,
% 8.12/5.72 ((~v1(constB23)) | (~v102(constB23))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8604, 8557])).
% 8.12/5.72 tff(8606,plain,
% 8.12/5.72 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23)) | (~((~v1(constB23)) | (~v102(constB23))))),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8607,plain,
% 8.12/5.72 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8606, 8605])).
% 8.12/5.72 tff(8608,plain,
% 8.12/5.72 (~v101(constB23)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8607, 8603])).
% 8.12/5.72 tff(8609,plain,
% 8.12/5.72 (((~v101(constB23)) | (~v110(constB23))) | v101(constB23)),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8610,plain,
% 8.12/5.72 ((~v101(constB23)) | (~v110(constB23))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8609, 8608])).
% 8.12/5.72 tff(8611,plain,
% 8.12/5.72 ((~(v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))) | (~v100(constB23)) | (~((~v101(constB23)) | (~v110(constB23))))),
% 8.12/5.72 inference(tautology,[status(thm)],[])).
% 8.12/5.72 tff(8612,plain,
% 8.12/5.72 (~v100(constB23)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8611, 8610, 8596])).
% 8.12/5.72 tff(8613,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B))))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8614,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B))))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8615,plain,
% 8.12/5.72 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 8.12/5.72 tff(8616,plain,
% 8.12/5.72 (v100(constB23) | ![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8615, 8592, 441])).
% 8.12/5.72 tff(8617,plain,
% 8.12/5.72 (![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8616, 8612])).
% 8.12/5.72 tff(8618,plain,
% 8.12/5.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)))),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8619,plain,
% 8.12/5.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)))),
% 8.12/5.72 inference(quant_inst,[status(thm)],[])).
% 8.12/5.72 tff(8620,plain,
% 8.12/5.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2))),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 8.12/5.72 tff(8621,plain,
% 8.12/5.72 (v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2)),
% 8.12/5.72 inference(unit_resolution,[status(thm)],[8620, 648, 8617])).
% 8.12/5.72 tff(8622,plain,
% 8.12/5.72 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 8.12/5.72 inference(rewrite,[status(thm)],[])).
% 8.12/5.72 tff(8623,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21')).
% 8.12/5.72 tff(8624,plain,
% 8.12/5.72 (nextState(constB21, constB22)),
% 8.12/5.72 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 8.12/5.72 tff(8625,plain,
% 8.12/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8626,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8627,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8626, 8625])).
% 8.12/5.73 tff(8628,plain,
% 8.12/5.73 (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8627, 8624, 392])).
% 8.12/5.73 tff(8629,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8630,plain,
% 8.12/5.73 (((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8631,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))))),
% 8.12/5.73 inference(monotonicity,[status(thm)],[8630])).
% 8.12/5.73 tff(8632,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 8.12/5.73 inference(transitivity,[status(thm)],[8631, 8629])).
% 8.12/5.73 tff(8633,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8634,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8633, 8632])).
% 8.12/5.73 tff(8635,plain,
% 8.12/5.73 (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8634, 8624, 412])).
% 8.12/5.73 tff(8636,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8637,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8638,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 8.12/5.73 tff(8639,plain,
% 8.12/5.73 ((~v102(constB22)) <=> v104(constB22)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8638, 8624, 474])).
% 8.12/5.73 tff(8640,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8641,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8642,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8641, 8640])).
% 8.12/5.73 tff(8643,plain,
% 8.12/5.73 (v104(constB22) <=> v1(constB21)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8642, 8624, 488])).
% 8.12/5.73 tff(8644,plain,
% 8.12/5.73 ((~v1(constB21)) <=> (~v1(constB21))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8645,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21')).
% 8.12/5.73 tff(8646,plain,
% 8.12/5.73 (~v1(constB21)),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8645, 8644])).
% 8.12/5.73 tff(8647,plain,
% 8.12/5.73 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22)) | v1(constB21)),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8648,plain,
% 8.12/5.73 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8647, 8646])).
% 8.12/5.73 tff(8649,plain,
% 8.12/5.73 (~v104(constB22)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8648, 8643])).
% 8.12/5.73 tff(8650,plain,
% 8.12/5.73 ((~((~v102(constB22)) <=> v104(constB22))) | v102(constB22) | v104(constB22)),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8651,plain,
% 8.12/5.73 (v102(constB22)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8650, 8649, 8639])).
% 8.12/5.73 tff(8652,plain,
% 8.12/5.73 (v1(constB22) <=> v1(constB22)),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8653,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22')).
% 8.12/5.73 tff(8654,plain,
% 8.12/5.73 (v1(constB22)),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8653, 8652])).
% 8.12/5.73 tff(8655,plain,
% 8.12/5.73 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v1(constB22)) | (~v102(constB22))),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8656,plain,
% 8.12/5.73 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v102(constB22))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8655, 8654])).
% 8.12/5.73 tff(8657,plain,
% 8.12/5.73 (~((~v1(constB22)) | (~v102(constB22)))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8656, 8651])).
% 8.12/5.73 tff(8658,plain,
% 8.12/5.73 ((~(v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))) | v101(constB22) | ((~v1(constB22)) | (~v102(constB22)))),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8659,plain,
% 8.12/5.73 (v101(constB22)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8658, 8657, 8635])).
% 8.12/5.73 tff(8660,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8661,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8662,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 8.12/5.73 tff(8663,plain,
% 8.12/5.73 (v110(constB22) <=> v108(constB21)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8662, 8624, 518])).
% 8.12/5.73 tff(8664,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB21) <=> (v111(constB21) | v112(constB21)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8665,plain,
% 8.12/5.73 (v108(constB21) <=> (v111(constB21) | v112(constB21))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8664, 529])).
% 8.12/5.73 tff(8666,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8667,plain,
% 8.12/5.73 (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8666, 541])).
% 8.12/5.73 tff(8668,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB21) <=> (v114(constB21) | v125(constB21)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8669,plain,
% 8.12/5.73 (v113(constB21) <=> (v114(constB21) | v125(constB21))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8668, 550])).
% 8.12/5.73 tff(8670,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB21) <=> (v115(constB21) | v124(constB21)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8671,plain,
% 8.12/5.73 (v114(constB21) <=> (v115(constB21) | v124(constB21))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8670, 559])).
% 8.12/5.73 tff(8672,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB21) <=> (v116(constB21) | v123(constB21)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8673,plain,
% 8.12/5.73 (v115(constB21) <=> (v116(constB21) | v123(constB21))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8672, 568])).
% 8.12/5.73 tff(8674,plain,
% 8.12/5.73 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0)))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8675,plain,
% 8.12/5.73 ((v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2))))) <=> (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8676,plain,
% 8.12/5.73 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0)))))),
% 8.12/5.73 inference(monotonicity,[status(thm)],[8675])).
% 8.12/5.73 tff(8677,plain,
% 8.12/5.73 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0)))))),
% 8.12/5.73 inference(transitivity,[status(thm)],[8676, 8674])).
% 8.12/5.73 tff(8678,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8679,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 8.12/5.73 tff(8680,plain,
% 8.12/5.73 (v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0)))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8679, 919])).
% 8.12/5.73 tff(8681,plain,
% 8.12/5.73 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8682,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20')).
% 8.12/5.73 tff(8683,plain,
% 8.12/5.73 (nextState(constB20, constB21)),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8682, 8681])).
% 8.12/5.73 tff(8684,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8685,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8686,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 8.12/5.73 tff(8687,plain,
% 8.12/5.73 (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8686, 8683, 392])).
% 8.12/5.73 tff(8688,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8689,plain,
% 8.12/5.73 (((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8690,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))))),
% 8.12/5.73 inference(monotonicity,[status(thm)],[8689])).
% 8.12/5.73 tff(8691,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 8.12/5.73 inference(transitivity,[status(thm)],[8690, 8688])).
% 8.12/5.73 tff(8692,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8693,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8692, 8691])).
% 8.12/5.73 tff(8694,plain,
% 8.12/5.73 (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8693, 8683, 412])).
% 8.12/5.73 tff(8695,plain,
% 8.12/5.73 (((~v1(constB21)) | (~v102(constB21))) | v1(constB21)),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8696,plain,
% 8.12/5.73 ((~v1(constB21)) | (~v102(constB21))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8695, 8646])).
% 8.12/5.73 tff(8697,plain,
% 8.12/5.73 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21)) | (~((~v1(constB21)) | (~v102(constB21))))),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8698,plain,
% 8.12/5.73 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8697, 8696])).
% 8.12/5.73 tff(8699,plain,
% 8.12/5.73 (~v101(constB21)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8698, 8694])).
% 8.12/5.73 tff(8700,plain,
% 8.12/5.73 (((~v101(constB21)) | (~v110(constB21))) | v101(constB21)),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8701,plain,
% 8.12/5.73 ((~v101(constB21)) | (~v110(constB21))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8700, 8699])).
% 8.12/5.73 tff(8702,plain,
% 8.12/5.73 ((~(v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))) | (~v100(constB21)) | (~((~v101(constB21)) | (~v110(constB21))))),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8703,plain,
% 8.12/5.73 (~v100(constB21)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8702, 8701, 8687])).
% 8.12/5.73 tff(8704,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8705,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8706,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 8.12/5.73 tff(8707,plain,
% 8.12/5.73 (v100(constB21) | ![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8706, 8683, 441])).
% 8.12/5.73 tff(8708,plain,
% 8.12/5.73 (![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8707, 8703])).
% 8.12/5.73 tff(8709,plain,
% 8.12/5.73 (((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8710,plain,
% 8.12/5.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8711,plain,
% 8.12/5.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 8.12/5.73 tff(8712,plain,
% 8.12/5.73 (v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8711, 648, 8708])).
% 8.12/5.73 tff(8713,plain,
% 8.12/5.73 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8714,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19')).
% 8.12/5.73 tff(8715,plain,
% 8.12/5.73 (nextState(constB19, constB20)),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 8.12/5.73 tff(8716,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8717,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8718,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8717, 8716])).
% 8.12/5.73 tff(8719,plain,
% 8.12/5.73 (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8718, 8715, 392])).
% 8.12/5.73 tff(8720,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8721,plain,
% 8.12/5.73 (((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8722,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))))),
% 8.12/5.73 inference(monotonicity,[status(thm)],[8721])).
% 8.12/5.73 tff(8723,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 8.12/5.73 inference(transitivity,[status(thm)],[8722, 8720])).
% 8.12/5.73 tff(8724,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8725,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8724, 8723])).
% 8.12/5.73 tff(8726,plain,
% 8.12/5.73 (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8725, 8715, 412])).
% 8.12/5.73 tff(8727,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8728,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8729,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8728, 8727])).
% 8.12/5.73 tff(8730,plain,
% 8.12/5.73 ((~v102(constB20)) <=> v104(constB20)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8729, 8715, 474])).
% 8.12/5.73 tff(8731,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8732,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8733,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8732, 8731])).
% 8.12/5.73 tff(8734,plain,
% 8.12/5.73 (v104(constB20) <=> v1(constB19)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8733, 8715, 488])).
% 8.12/5.73 tff(8735,plain,
% 8.12/5.73 ((~v1(constB19)) <=> (~v1(constB19))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8736,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19')).
% 8.12/5.73 tff(8737,plain,
% 8.12/5.73 (~v1(constB19)),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 8.12/5.73 tff(8738,plain,
% 8.12/5.73 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20)) | v1(constB19)),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8739,plain,
% 8.12/5.73 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8738, 8737])).
% 8.12/5.73 tff(8740,plain,
% 8.12/5.73 (~v104(constB20)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8739, 8734])).
% 8.12/5.73 tff(8741,plain,
% 8.12/5.73 ((~((~v102(constB20)) <=> v104(constB20))) | v102(constB20) | v104(constB20)),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8742,plain,
% 8.12/5.73 (v102(constB20)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8741, 8740, 8730])).
% 8.12/5.73 tff(8743,plain,
% 8.12/5.73 (v1(constB20) <=> v1(constB20)),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8744,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20')).
% 8.12/5.73 tff(8745,plain,
% 8.12/5.73 (v1(constB20)),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8744, 8743])).
% 8.12/5.73 tff(8746,plain,
% 8.12/5.73 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v1(constB20)) | (~v102(constB20))),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8747,plain,
% 8.12/5.73 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v102(constB20))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8746, 8745])).
% 8.12/5.73 tff(8748,plain,
% 8.12/5.73 (~((~v1(constB20)) | (~v102(constB20)))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8747, 8742])).
% 8.12/5.73 tff(8749,plain,
% 8.12/5.73 ((~(v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))) | v101(constB20) | ((~v1(constB20)) | (~v102(constB20)))),
% 8.12/5.73 inference(tautology,[status(thm)],[])).
% 8.12/5.73 tff(8750,plain,
% 8.12/5.73 (v101(constB20)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8749, 8748, 8726])).
% 8.12/5.73 tff(8751,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8752,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8753,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8752, 8751])).
% 8.12/5.73 tff(8754,plain,
% 8.12/5.73 (v110(constB20) <=> v108(constB19)),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8753, 8715, 518])).
% 8.12/5.73 tff(8755,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB19) <=> (v111(constB19) | v112(constB19)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8756,plain,
% 8.12/5.73 (v108(constB19) <=> (v111(constB19) | v112(constB19))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8755, 529])).
% 8.12/5.73 tff(8757,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8758,plain,
% 8.12/5.73 (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8757, 541])).
% 8.12/5.73 tff(8759,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB19) <=> (v114(constB19) | v125(constB19)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8760,plain,
% 8.12/5.73 (v113(constB19) <=> (v114(constB19) | v125(constB19))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8759, 550])).
% 8.12/5.73 tff(8761,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB19) <=> (v115(constB19) | v124(constB19)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8762,plain,
% 8.12/5.73 (v114(constB19) <=> (v115(constB19) | v124(constB19))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8761, 559])).
% 8.12/5.73 tff(8763,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB19) <=> (v116(constB19) | v123(constB19)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8764,plain,
% 8.12/5.73 (v115(constB19) <=> (v116(constB19) | v123(constB19))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8763, 568])).
% 8.12/5.73 tff(8765,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB19) <=> (v117(constB19) | v122(constB19)))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8766,plain,
% 8.12/5.73 (v116(constB19) <=> (v117(constB19) | v122(constB19))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8765, 577])).
% 8.12/5.73 tff(8767,plain,
% 8.12/5.73 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8768,plain,
% 8.12/5.73 ((v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1))))) <=> (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8769,plain,
% 8.12/5.73 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))))),
% 8.12/5.73 inference(monotonicity,[status(thm)],[8768])).
% 8.12/5.73 tff(8770,plain,
% 8.12/5.73 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))))),
% 8.12/5.73 inference(transitivity,[status(thm)],[8769, 8767])).
% 8.12/5.73 tff(8771,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8772,plain,
% 8.12/5.73 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8771, 8770])).
% 8.12/5.73 tff(8773,plain,
% 8.12/5.73 (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))),
% 8.12/5.73 inference(unit_resolution,[status(thm)],[8772, 1025])).
% 8.12/5.73 tff(8774,plain,
% 8.12/5.73 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8775,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18')).
% 8.12/5.73 tff(8776,plain,
% 8.12/5.73 (nextState(constB18, constB19)),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8775, 8774])).
% 8.12/5.73 tff(8777,plain,
% 8.12/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 8.12/5.73 inference(rewrite,[status(thm)],[])).
% 8.12/5.73 tff(8778,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 8.12/5.73 inference(quant_inst,[status(thm)],[])).
% 8.12/5.73 tff(8779,plain,
% 8.12/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))),
% 8.12/5.73 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 8.12/5.73 tff(8780,plain,
% 8.12/5.74 (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))),
% 8.12/5.74 inference(unit_resolution,[status(thm)],[8779, 8776, 392])).
% 8.12/5.74 tff(8781,plain,
% 8.12/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 8.12/5.74 inference(rewrite,[status(thm)],[])).
% 8.12/5.74 tff(8782,plain,
% 8.12/5.74 (((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 8.12/5.74 inference(rewrite,[status(thm)],[])).
% 8.12/5.74 tff(8783,plain,
% 8.12/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))))),
% 8.12/5.74 inference(monotonicity,[status(thm)],[8782])).
% 8.12/5.74 tff(8784,plain,
% 8.12/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 8.12/5.74 inference(transitivity,[status(thm)],[8783, 8781])).
% 8.12/5.74 tff(8785,plain,
% 8.12/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))),
% 8.12/5.74 inference(quant_inst,[status(thm)],[])).
% 8.12/5.74 tff(8786,plain,
% 8.12/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))),
% 8.12/5.74 inference(modus_ponens,[status(thm)],[8785, 8784])).
% 8.12/5.74 tff(8787,plain,
% 8.12/5.74 (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))),
% 8.12/5.74 inference(unit_resolution,[status(thm)],[8786, 8776, 412])).
% 8.12/5.74 tff(8788,plain,
% 8.12/5.74 (((~v1(constB19)) | (~v102(constB19))) | v1(constB19)),
% 8.12/5.74 inference(tautology,[status(thm)],[])).
% 8.12/5.74 tff(8789,plain,
% 8.12/5.74 ((~v1(constB19)) | (~v102(constB19))),
% 8.12/5.74 inference(unit_resolution,[status(thm)],[8788, 8737])).
% 8.12/5.74 tff(8790,plain,
% 8.12/5.74 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19)) | (~((~v1(constB19)) | (~v102(constB19))))),
% 8.12/5.74 inference(tautology,[status(thm)],[])).
% 8.12/5.74 tff(8791,plain,
% 8.12/5.74 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19))),
% 8.12/5.74 inference(unit_resolution,[status(thm)],[8790, 8789])).
% 8.12/5.74 tff(8792,plain,
% 8.12/5.74 (~v101(constB19)),
% 8.12/5.74 inference(unit_resolution,[status(thm)],[8791, 8787])).
% 8.12/5.74 tff(8793,plain,
% 8.12/5.74 (((~v101(constB19)) | (~v110(constB19))) | v101(constB19)),
% 8.12/5.74 inference(tautology,[status(thm)],[])).
% 8.12/5.74 tff(8794,plain,
% 8.12/5.74 ((~v101(constB19)) | (~v110(constB19))),
% 8.12/5.74 inference(unit_resolution,[status(thm)],[8793, 8792])).
% 8.12/5.74 tff(8795,plain,
% 8.12/5.74 ((~(v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))) | (~v100(constB19)) | (~((~v101(constB19)) | (~v110(constB19))))),
% 8.12/5.74 inference(tautology,[status(thm)],[])).
% 8.12/5.74 tff(8796,plain,
% 8.12/5.74 (~v100(constB19)),
% 8.12/5.74 inference(unit_resolution,[status(thm)],[8795, 8794, 8780])).
% 8.12/5.74 tff(8797,plain,
% 8.12/5.74 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8798,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8799,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8798, 8797])).
% 8.16/5.74 tff(8800,plain,
% 8.16/5.74 (v100(constB19) | ![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8799, 8776, 441])).
% 8.16/5.74 tff(8801,plain,
% 8.16/5.74 (![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8800, 8796])).
% 8.16/5.74 tff(8802,plain,
% 8.16/5.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8803,plain,
% 8.16/5.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8804,plain,
% 8.16/5.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8803, 8802])).
% 8.16/5.74 tff(8805,plain,
% 8.16/5.74 (v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8804, 648, 8801])).
% 8.16/5.74 tff(8806,plain,
% 8.16/5.74 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8807,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17')).
% 8.16/5.74 tff(8808,plain,
% 8.16/5.74 (nextState(constB17, constB18)),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8807, 8806])).
% 8.16/5.74 tff(8809,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8810,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8811,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8810, 8809])).
% 8.16/5.74 tff(8812,plain,
% 8.16/5.74 (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8811, 8808, 392])).
% 8.16/5.74 tff(8813,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8814,plain,
% 8.16/5.74 (((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8815,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))))),
% 8.16/5.74 inference(monotonicity,[status(thm)],[8814])).
% 8.16/5.74 tff(8816,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 8.16/5.74 inference(transitivity,[status(thm)],[8815, 8813])).
% 8.16/5.74 tff(8817,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8818,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 8.16/5.74 tff(8819,plain,
% 8.16/5.74 (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8818, 8808, 412])).
% 8.16/5.74 tff(8820,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8821,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8822,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 8.16/5.74 tff(8823,plain,
% 8.16/5.74 ((~v102(constB18)) <=> v104(constB18)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8822, 8808, 474])).
% 8.16/5.74 tff(8824,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8825,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8826,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 8.16/5.74 tff(8827,plain,
% 8.16/5.74 (v104(constB18) <=> v1(constB17)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8826, 8808, 488])).
% 8.16/5.74 tff(8828,plain,
% 8.16/5.74 ((~v1(constB17)) <=> (~v1(constB17))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8829,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17')).
% 8.16/5.74 tff(8830,plain,
% 8.16/5.74 (~v1(constB17)),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 8.16/5.74 tff(8831,plain,
% 8.16/5.74 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18)) | v1(constB17)),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8832,plain,
% 8.16/5.74 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8831, 8830])).
% 8.16/5.74 tff(8833,plain,
% 8.16/5.74 (~v104(constB18)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8832, 8827])).
% 8.16/5.74 tff(8834,plain,
% 8.16/5.74 ((~((~v102(constB18)) <=> v104(constB18))) | v102(constB18) | v104(constB18)),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8835,plain,
% 8.16/5.74 (v102(constB18)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8834, 8833, 8823])).
% 8.16/5.74 tff(8836,plain,
% 8.16/5.74 (v1(constB18) <=> v1(constB18)),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8837,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18')).
% 8.16/5.74 tff(8838,plain,
% 8.16/5.74 (v1(constB18)),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 8.16/5.74 tff(8839,plain,
% 8.16/5.74 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v1(constB18)) | (~v102(constB18))),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8840,plain,
% 8.16/5.74 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v102(constB18))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8839, 8838])).
% 8.16/5.74 tff(8841,plain,
% 8.16/5.74 (~((~v1(constB18)) | (~v102(constB18)))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8840, 8835])).
% 8.16/5.74 tff(8842,plain,
% 8.16/5.74 ((~(v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))) | v101(constB18) | ((~v1(constB18)) | (~v102(constB18)))),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8843,plain,
% 8.16/5.74 (v101(constB18)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8842, 8841, 8819])).
% 8.16/5.74 tff(8844,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8845,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8846,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 8.16/5.74 tff(8847,plain,
% 8.16/5.74 (v110(constB18) <=> v108(constB17)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8846, 8808, 518])).
% 8.16/5.74 tff(8848,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB17) <=> (v111(constB17) | v112(constB17)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8849,plain,
% 8.16/5.74 (v108(constB17) <=> (v111(constB17) | v112(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8848, 529])).
% 8.16/5.74 tff(8850,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8851,plain,
% 8.16/5.74 (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17))))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8850, 541])).
% 8.16/5.74 tff(8852,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB17) <=> (v114(constB17) | v125(constB17)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8853,plain,
% 8.16/5.74 (v113(constB17) <=> (v114(constB17) | v125(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8852, 550])).
% 8.16/5.74 tff(8854,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB17) <=> (v115(constB17) | v124(constB17)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8855,plain,
% 8.16/5.74 (v114(constB17) <=> (v115(constB17) | v124(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8854, 559])).
% 8.16/5.74 tff(8856,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB17) <=> (v116(constB17) | v123(constB17)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8857,plain,
% 8.16/5.74 (v115(constB17) <=> (v116(constB17) | v123(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8856, 568])).
% 8.16/5.74 tff(8858,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB17) <=> (v117(constB17) | v122(constB17)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8859,plain,
% 8.16/5.74 (v116(constB17) <=> (v117(constB17) | v122(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8858, 577])).
% 8.16/5.74 tff(8860,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB17) <=> (v118(constB17) | v121(constB17)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8861,plain,
% 8.16/5.74 (v117(constB17) <=> (v118(constB17) | v121(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8860, 586])).
% 8.16/5.74 tff(8862,plain,
% 8.16/5.74 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0)))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8863,plain,
% 8.16/5.74 ((v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1))))) <=> (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8864,plain,
% 8.16/5.74 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0)))))),
% 8.16/5.74 inference(monotonicity,[status(thm)],[8863])).
% 8.16/5.74 tff(8865,plain,
% 8.16/5.74 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0)))))),
% 8.16/5.74 inference(transitivity,[status(thm)],[8864, 8862])).
% 8.16/5.74 tff(8866,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8867,plain,
% 8.16/5.74 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8866, 8865])).
% 8.16/5.74 tff(8868,plain,
% 8.16/5.74 (v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0)))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8867, 1133])).
% 8.16/5.74 tff(8869,plain,
% 8.16/5.74 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8870,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16')).
% 8.16/5.74 tff(8871,plain,
% 8.16/5.74 (nextState(constB16, constB17)),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8870, 8869])).
% 8.16/5.74 tff(8872,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8873,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8874,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8873, 8872])).
% 8.16/5.74 tff(8875,plain,
% 8.16/5.74 (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8874, 8871, 392])).
% 8.16/5.74 tff(8876,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8877,plain,
% 8.16/5.74 (((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8878,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))))),
% 8.16/5.74 inference(monotonicity,[status(thm)],[8877])).
% 8.16/5.74 tff(8879,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 8.16/5.74 inference(transitivity,[status(thm)],[8878, 8876])).
% 8.16/5.74 tff(8880,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8881,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8880, 8879])).
% 8.16/5.74 tff(8882,plain,
% 8.16/5.74 (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8881, 8871, 412])).
% 8.16/5.74 tff(8883,plain,
% 8.16/5.74 (((~v1(constB17)) | (~v102(constB17))) | v1(constB17)),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8884,plain,
% 8.16/5.74 ((~v1(constB17)) | (~v102(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8883, 8830])).
% 8.16/5.74 tff(8885,plain,
% 8.16/5.74 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17)) | (~((~v1(constB17)) | (~v102(constB17))))),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8886,plain,
% 8.16/5.74 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8885, 8884])).
% 8.16/5.74 tff(8887,plain,
% 8.16/5.74 (~v101(constB17)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8886, 8882])).
% 8.16/5.74 tff(8888,plain,
% 8.16/5.74 (((~v101(constB17)) | (~v110(constB17))) | v101(constB17)),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8889,plain,
% 8.16/5.74 ((~v101(constB17)) | (~v110(constB17))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8888, 8887])).
% 8.16/5.74 tff(8890,plain,
% 8.16/5.74 ((~(v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))) | (~v100(constB17)) | (~((~v101(constB17)) | (~v110(constB17))))),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8891,plain,
% 8.16/5.74 (~v100(constB17)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8890, 8889, 8875])).
% 8.16/5.74 tff(8892,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8893,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8894,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 8.16/5.74 tff(8895,plain,
% 8.16/5.74 (v100(constB17) | ![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8894, 8871, 441])).
% 8.16/5.74 tff(8896,plain,
% 8.16/5.74 (![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8895, 8891])).
% 8.16/5.74 tff(8897,plain,
% 8.16/5.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8898,plain,
% 8.16/5.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8899,plain,
% 8.16/5.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 8.16/5.74 tff(8900,plain,
% 8.16/5.74 (v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8899, 648, 8896])).
% 8.16/5.74 tff(8901,plain,
% 8.16/5.74 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8902,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15')).
% 8.16/5.74 tff(8903,plain,
% 8.16/5.74 (nextState(constB15, constB16)),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 8.16/5.74 tff(8904,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8905,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8906,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8905, 8904])).
% 8.16/5.74 tff(8907,plain,
% 8.16/5.74 (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8906, 8903, 392])).
% 8.16/5.74 tff(8908,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8909,plain,
% 8.16/5.74 (((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8910,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))))),
% 8.16/5.74 inference(monotonicity,[status(thm)],[8909])).
% 8.16/5.74 tff(8911,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 8.16/5.74 inference(transitivity,[status(thm)],[8910, 8908])).
% 8.16/5.74 tff(8912,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8913,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8912, 8911])).
% 8.16/5.74 tff(8914,plain,
% 8.16/5.74 (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8913, 8903, 412])).
% 8.16/5.74 tff(8915,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8916,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8917,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8916, 8915])).
% 8.16/5.74 tff(8918,plain,
% 8.16/5.74 ((~v102(constB16)) <=> v104(constB16)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8917, 8903, 474])).
% 8.16/5.74 tff(8919,plain,
% 8.16/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8920,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 8.16/5.74 inference(quant_inst,[status(thm)],[])).
% 8.16/5.74 tff(8921,plain,
% 8.16/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15))),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 8.16/5.74 tff(8922,plain,
% 8.16/5.74 (v104(constB16) <=> v1(constB15)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8921, 8903, 488])).
% 8.16/5.74 tff(8923,plain,
% 8.16/5.74 ((~v1(constB15)) <=> (~v1(constB15))),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8924,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15')).
% 8.16/5.74 tff(8925,plain,
% 8.16/5.74 (~v1(constB15)),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8924, 8923])).
% 8.16/5.74 tff(8926,plain,
% 8.16/5.74 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16)) | v1(constB15)),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8927,plain,
% 8.16/5.74 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16))),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8926, 8925])).
% 8.16/5.74 tff(8928,plain,
% 8.16/5.74 (~v104(constB16)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8927, 8922])).
% 8.16/5.74 tff(8929,plain,
% 8.16/5.74 ((~((~v102(constB16)) <=> v104(constB16))) | v102(constB16) | v104(constB16)),
% 8.16/5.74 inference(tautology,[status(thm)],[])).
% 8.16/5.74 tff(8930,plain,
% 8.16/5.74 (v102(constB16)),
% 8.16/5.74 inference(unit_resolution,[status(thm)],[8929, 8928, 8918])).
% 8.16/5.74 tff(8931,plain,
% 8.16/5.74 (v1(constB16) <=> v1(constB16)),
% 8.16/5.74 inference(rewrite,[status(thm)],[])).
% 8.16/5.74 tff(8932,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16')).
% 8.16/5.74 tff(8933,plain,
% 8.16/5.74 (v1(constB16)),
% 8.16/5.74 inference(modus_ponens,[status(thm)],[8932, 8931])).
% 8.16/5.74 tff(8934,plain,
% 8.16/5.74 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v1(constB16)) | (~v102(constB16))),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(8935,plain,
% 8.16/5.75 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v102(constB16))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8934, 8933])).
% 8.16/5.75 tff(8936,plain,
% 8.16/5.75 (~((~v1(constB16)) | (~v102(constB16)))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8935, 8930])).
% 8.16/5.75 tff(8937,plain,
% 8.16/5.75 ((~(v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))) | v101(constB16) | ((~v1(constB16)) | (~v102(constB16)))),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(8938,plain,
% 8.16/5.75 (v101(constB16)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8937, 8936, 8914])).
% 8.16/5.75 tff(8939,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8940,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8941,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[8940, 8939])).
% 8.16/5.75 tff(8942,plain,
% 8.16/5.75 (v110(constB16) <=> v108(constB15)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8941, 8903, 518])).
% 8.16/5.75 tff(8943,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB15) <=> (v111(constB15) | v112(constB15)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8944,plain,
% 8.16/5.75 (v108(constB15) <=> (v111(constB15) | v112(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8943, 529])).
% 8.16/5.75 tff(8945,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8946,plain,
% 8.16/5.75 (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8945, 541])).
% 8.16/5.75 tff(8947,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB15) <=> (v114(constB15) | v125(constB15)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8948,plain,
% 8.16/5.75 (v113(constB15) <=> (v114(constB15) | v125(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8947, 550])).
% 8.16/5.75 tff(8949,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB15) <=> (v115(constB15) | v124(constB15)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8950,plain,
% 8.16/5.75 (v114(constB15) <=> (v115(constB15) | v124(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8949, 559])).
% 8.16/5.75 tff(8951,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB15) <=> (v116(constB15) | v123(constB15)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8952,plain,
% 8.16/5.75 (v115(constB15) <=> (v116(constB15) | v123(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8951, 568])).
% 8.16/5.75 tff(8953,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB15) <=> (v117(constB15) | v122(constB15)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8954,plain,
% 8.16/5.75 (v116(constB15) <=> (v117(constB15) | v122(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8953, 577])).
% 8.16/5.75 tff(8955,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB15) <=> (v118(constB15) | v121(constB15)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8956,plain,
% 8.16/5.75 (v117(constB15) <=> (v118(constB15) | v121(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8955, 586])).
% 8.16/5.75 tff(8957,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB15) <=> (v119(constB15) | v120(constB15)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8958,plain,
% 8.16/5.75 (v118(constB15) <=> (v119(constB15) | v120(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8957, 595])).
% 8.16/5.75 tff(8959,plain,
% 8.16/5.75 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8960,plain,
% 8.16/5.75 ((v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))))) <=> (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8961,plain,
% 8.16/5.75 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 8.16/5.75 inference(monotonicity,[status(thm)],[8960])).
% 8.16/5.75 tff(8962,plain,
% 8.16/5.75 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))))),
% 8.16/5.75 inference(transitivity,[status(thm)],[8961, 8959])).
% 8.16/5.75 tff(8963,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8964,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[8963, 8962])).
% 8.16/5.75 tff(8965,plain,
% 8.16/5.75 (v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8964, 610])).
% 8.16/5.75 tff(8966,plain,
% 8.16/5.75 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8967,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14')).
% 8.16/5.75 tff(8968,plain,
% 8.16/5.75 (nextState(constB14, constB15)),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 8.16/5.75 tff(8969,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8970,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8971,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[8970, 8969])).
% 8.16/5.75 tff(8972,plain,
% 8.16/5.75 (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8971, 8968, 392])).
% 8.16/5.75 tff(8973,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8974,plain,
% 8.16/5.75 (((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8975,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))))),
% 8.16/5.75 inference(monotonicity,[status(thm)],[8974])).
% 8.16/5.75 tff(8976,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 8.16/5.75 inference(transitivity,[status(thm)],[8975, 8973])).
% 8.16/5.75 tff(8977,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8978,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 8.16/5.75 tff(8979,plain,
% 8.16/5.75 (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8978, 8968, 412])).
% 8.16/5.75 tff(8980,plain,
% 8.16/5.75 (((~v1(constB15)) | (~v102(constB15))) | v1(constB15)),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(8981,plain,
% 8.16/5.75 ((~v1(constB15)) | (~v102(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8980, 8925])).
% 8.16/5.75 tff(8982,plain,
% 8.16/5.75 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15)) | (~((~v1(constB15)) | (~v102(constB15))))),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(8983,plain,
% 8.16/5.75 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8982, 8981])).
% 8.16/5.75 tff(8984,plain,
% 8.16/5.75 (~v101(constB15)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8983, 8979])).
% 8.16/5.75 tff(8985,plain,
% 8.16/5.75 (((~v101(constB15)) | (~v110(constB15))) | v101(constB15)),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(8986,plain,
% 8.16/5.75 ((~v101(constB15)) | (~v110(constB15))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8985, 8984])).
% 8.16/5.75 tff(8987,plain,
% 8.16/5.75 ((~(v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))) | (~v100(constB15)) | (~((~v101(constB15)) | (~v110(constB15))))),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(8988,plain,
% 8.16/5.75 (~v100(constB15)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8987, 8986, 8972])).
% 8.16/5.75 tff(8989,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8990,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8991,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[8990, 8989])).
% 8.16/5.75 tff(8992,plain,
% 8.16/5.75 (v100(constB15) | ![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8991, 8968, 441])).
% 8.16/5.75 tff(8993,plain,
% 8.16/5.75 (![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8992, 8988])).
% 8.16/5.75 tff(8994,plain,
% 8.16/5.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8995,plain,
% 8.16/5.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(8996,plain,
% 8.16/5.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 8.16/5.75 tff(8997,plain,
% 8.16/5.75 (v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[8996, 648, 8993])).
% 8.16/5.75 tff(8998,plain,
% 8.16/5.75 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(8999,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13')).
% 8.16/5.75 tff(9000,plain,
% 8.16/5.75 (nextState(constB13, constB14)),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[8999, 8998])).
% 8.16/5.75 tff(9001,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9002,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9003,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9002, 9001])).
% 8.16/5.75 tff(9004,plain,
% 8.16/5.75 (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9003, 9000, 392])).
% 8.16/5.75 tff(9005,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9006,plain,
% 8.16/5.75 (((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9007,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))))),
% 8.16/5.75 inference(monotonicity,[status(thm)],[9006])).
% 8.16/5.75 tff(9008,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 8.16/5.75 inference(transitivity,[status(thm)],[9007, 9005])).
% 8.16/5.75 tff(9009,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9010,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9009, 9008])).
% 8.16/5.75 tff(9011,plain,
% 8.16/5.75 (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9010, 9000, 412])).
% 8.16/5.75 tff(9012,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9013,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9014,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9013, 9012])).
% 8.16/5.75 tff(9015,plain,
% 8.16/5.75 ((~v102(constB14)) <=> v104(constB14)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9014, 9000, 474])).
% 8.16/5.75 tff(9016,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9017,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9018,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9017, 9016])).
% 8.16/5.75 tff(9019,plain,
% 8.16/5.75 (v104(constB14) <=> v1(constB13)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9018, 9000, 488])).
% 8.16/5.75 tff(9020,plain,
% 8.16/5.75 ((~v1(constB13)) <=> (~v1(constB13))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9021,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13')).
% 8.16/5.75 tff(9022,plain,
% 8.16/5.75 (~v1(constB13)),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 8.16/5.75 tff(9023,plain,
% 8.16/5.75 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14)) | v1(constB13)),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(9024,plain,
% 8.16/5.75 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9023, 9022])).
% 8.16/5.75 tff(9025,plain,
% 8.16/5.75 (~v104(constB14)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9024, 9019])).
% 8.16/5.75 tff(9026,plain,
% 8.16/5.75 ((~((~v102(constB14)) <=> v104(constB14))) | v102(constB14) | v104(constB14)),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(9027,plain,
% 8.16/5.75 (v102(constB14)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9026, 9025, 9015])).
% 8.16/5.75 tff(9028,plain,
% 8.16/5.75 (v1(constB14) <=> v1(constB14)),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9029,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14')).
% 8.16/5.75 tff(9030,plain,
% 8.16/5.75 (v1(constB14)),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 8.16/5.75 tff(9031,plain,
% 8.16/5.75 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v1(constB14)) | (~v102(constB14))),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(9032,plain,
% 8.16/5.75 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v102(constB14))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9031, 9030])).
% 8.16/5.75 tff(9033,plain,
% 8.16/5.75 (~((~v1(constB14)) | (~v102(constB14)))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9032, 9027])).
% 8.16/5.75 tff(9034,plain,
% 8.16/5.75 ((~(v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))) | v101(constB14) | ((~v1(constB14)) | (~v102(constB14)))),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(9035,plain,
% 8.16/5.75 (v101(constB14)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9034, 9033, 9011])).
% 8.16/5.75 tff(9036,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9037,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9038,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9037, 9036])).
% 8.16/5.75 tff(9039,plain,
% 8.16/5.75 (v110(constB14) <=> v108(constB13)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9038, 9000, 518])).
% 8.16/5.75 tff(9040,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB13) <=> (v111(constB13) | v112(constB13)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9041,plain,
% 8.16/5.75 (v108(constB13) <=> (v111(constB13) | v112(constB13))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9040, 529])).
% 8.16/5.75 tff(9042,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9043,plain,
% 8.16/5.75 (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9042, 541])).
% 8.16/5.75 tff(9044,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB13) <=> (v114(constB13) | v125(constB13)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9045,plain,
% 8.16/5.75 (v113(constB13) <=> (v114(constB13) | v125(constB13))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9044, 550])).
% 8.16/5.75 tff(9046,plain,
% 8.16/5.75 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9047,plain,
% 8.16/5.75 ((v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2))))) <=> (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9048,plain,
% 8.16/5.75 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))))),
% 8.16/5.75 inference(monotonicity,[status(thm)],[9047])).
% 8.16/5.75 tff(9049,plain,
% 8.16/5.75 (((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))))),
% 8.16/5.75 inference(transitivity,[status(thm)],[9048, 9046])).
% 8.16/5.75 tff(9050,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9051,plain,
% 8.16/5.75 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 8.16/5.75 tff(9052,plain,
% 8.16/5.75 (v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9051, 713])).
% 8.16/5.75 tff(9053,plain,
% 8.16/5.75 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9054,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12')).
% 8.16/5.75 tff(9055,plain,
% 8.16/5.75 (nextState(constB12, constB13)),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 8.16/5.75 tff(9056,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9057,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9058,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9057, 9056])).
% 8.16/5.75 tff(9059,plain,
% 8.16/5.75 (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9058, 9055, 392])).
% 8.16/5.75 tff(9060,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9061,plain,
% 8.16/5.75 (((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9062,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))))),
% 8.16/5.75 inference(monotonicity,[status(thm)],[9061])).
% 8.16/5.75 tff(9063,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 8.16/5.75 inference(transitivity,[status(thm)],[9062, 9060])).
% 8.16/5.75 tff(9064,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9065,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 8.16/5.75 tff(9066,plain,
% 8.16/5.75 (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9065, 9055, 412])).
% 8.16/5.75 tff(9067,plain,
% 8.16/5.75 (((~v1(constB13)) | (~v102(constB13))) | v1(constB13)),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(9068,plain,
% 8.16/5.75 ((~v1(constB13)) | (~v102(constB13))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9067, 9022])).
% 8.16/5.75 tff(9069,plain,
% 8.16/5.75 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13)) | (~((~v1(constB13)) | (~v102(constB13))))),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(9070,plain,
% 8.16/5.75 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9069, 9068])).
% 8.16/5.75 tff(9071,plain,
% 8.16/5.75 (~v101(constB13)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9070, 9066])).
% 8.16/5.75 tff(9072,plain,
% 8.16/5.75 (((~v101(constB13)) | (~v110(constB13))) | v101(constB13)),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(9073,plain,
% 8.16/5.75 ((~v101(constB13)) | (~v110(constB13))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9072, 9071])).
% 8.16/5.75 tff(9074,plain,
% 8.16/5.75 ((~(v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))) | (~v100(constB13)) | (~((~v101(constB13)) | (~v110(constB13))))),
% 8.16/5.75 inference(tautology,[status(thm)],[])).
% 8.16/5.75 tff(9075,plain,
% 8.16/5.75 (~v100(constB13)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9074, 9073, 9059])).
% 8.16/5.75 tff(9076,plain,
% 8.16/5.75 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B))))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9077,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B))))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9078,plain,
% 8.16/5.75 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9077, 9076])).
% 8.16/5.75 tff(9079,plain,
% 8.16/5.75 (v100(constB13) | ![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9078, 9055, 441])).
% 8.16/5.75 tff(9080,plain,
% 8.16/5.75 (![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9079, 9075])).
% 8.16/5.75 tff(9081,plain,
% 8.16/5.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)))),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9082,plain,
% 8.16/5.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)))),
% 8.16/5.75 inference(quant_inst,[status(thm)],[])).
% 8.16/5.75 tff(9083,plain,
% 8.16/5.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2))),
% 8.16/5.75 inference(modus_ponens,[status(thm)],[9082, 9081])).
% 8.16/5.75 tff(9084,plain,
% 8.16/5.75 (v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2)),
% 8.16/5.75 inference(unit_resolution,[status(thm)],[9083, 648, 9080])).
% 8.16/5.75 tff(9085,plain,
% 8.16/5.75 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 8.16/5.75 inference(rewrite,[status(thm)],[])).
% 8.16/5.75 tff(9086,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11')).
% 8.16/5.76 tff(9087,plain,
% 8.16/5.76 (nextState(constB11, constB12)),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9086, 9085])).
% 8.16/5.76 tff(9088,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9089,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9090,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9089, 9088])).
% 8.16/5.76 tff(9091,plain,
% 8.16/5.76 (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9090, 9087, 392])).
% 8.16/5.76 tff(9092,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9093,plain,
% 8.16/5.76 (((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9094,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))))),
% 8.16/5.76 inference(monotonicity,[status(thm)],[9093])).
% 8.16/5.76 tff(9095,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 8.16/5.76 inference(transitivity,[status(thm)],[9094, 9092])).
% 8.16/5.76 tff(9096,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9097,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 8.16/5.76 tff(9098,plain,
% 8.16/5.76 (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9097, 9087, 412])).
% 8.16/5.76 tff(9099,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9100,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9101,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9100, 9099])).
% 8.16/5.76 tff(9102,plain,
% 8.16/5.76 ((~v102(constB12)) <=> v104(constB12)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9101, 9087, 474])).
% 8.16/5.76 tff(9103,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9104,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9105,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9104, 9103])).
% 8.16/5.76 tff(9106,plain,
% 8.16/5.76 (v104(constB12) <=> v1(constB11)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9105, 9087, 488])).
% 8.16/5.76 tff(9107,plain,
% 8.16/5.76 ((~v1(constB11)) <=> (~v1(constB11))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9108,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11')).
% 8.16/5.76 tff(9109,plain,
% 8.16/5.76 (~v1(constB11)),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9108, 9107])).
% 8.16/5.76 tff(9110,plain,
% 8.16/5.76 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12)) | v1(constB11)),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9111,plain,
% 8.16/5.76 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9110, 9109])).
% 8.16/5.76 tff(9112,plain,
% 8.16/5.76 (~v104(constB12)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9111, 9106])).
% 8.16/5.76 tff(9113,plain,
% 8.16/5.76 ((~((~v102(constB12)) <=> v104(constB12))) | v102(constB12) | v104(constB12)),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9114,plain,
% 8.16/5.76 (v102(constB12)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9113, 9112, 9102])).
% 8.16/5.76 tff(9115,plain,
% 8.16/5.76 (v1(constB12) <=> v1(constB12)),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9116,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12')).
% 8.16/5.76 tff(9117,plain,
% 8.16/5.76 (v1(constB12)),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9116, 9115])).
% 8.16/5.76 tff(9118,plain,
% 8.16/5.76 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v1(constB12)) | (~v102(constB12))),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9119,plain,
% 8.16/5.76 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v102(constB12))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9118, 9117])).
% 8.16/5.76 tff(9120,plain,
% 8.16/5.76 (~((~v1(constB12)) | (~v102(constB12)))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9119, 9114])).
% 8.16/5.76 tff(9121,plain,
% 8.16/5.76 ((~(v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))) | v101(constB12) | ((~v1(constB12)) | (~v102(constB12)))),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9122,plain,
% 8.16/5.76 (v101(constB12)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9121, 9120, 9098])).
% 8.16/5.76 tff(9123,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9124,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9125,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 8.16/5.76 tff(9126,plain,
% 8.16/5.76 (v110(constB12) <=> v108(constB11)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9125, 9087, 518])).
% 8.16/5.76 tff(9127,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB11) <=> (v111(constB11) | v112(constB11)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9128,plain,
% 8.16/5.76 (v108(constB11) <=> (v111(constB11) | v112(constB11))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9127, 529])).
% 8.16/5.76 tff(9129,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9130,plain,
% 8.16/5.76 (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9129, 541])).
% 8.16/5.76 tff(9131,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB11) <=> (v114(constB11) | v125(constB11)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9132,plain,
% 8.16/5.76 (v113(constB11) <=> (v114(constB11) | v125(constB11))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9131, 550])).
% 8.16/5.76 tff(9133,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB11) <=> (v115(constB11) | v124(constB11)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9134,plain,
% 8.16/5.76 (v114(constB11) <=> (v115(constB11) | v124(constB11))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9133, 559])).
% 8.16/5.76 tff(9135,plain,
% 8.16/5.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9136,plain,
% 8.16/5.76 ((v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2))))) <=> (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9137,plain,
% 8.16/5.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0))))))),
% 8.16/5.76 inference(monotonicity,[status(thm)],[9136])).
% 8.16/5.76 tff(9138,plain,
% 8.16/5.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0))))))),
% 8.16/5.76 inference(transitivity,[status(thm)],[9137, 9135])).
% 8.16/5.76 tff(9139,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2)))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9140,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9139, 9138])).
% 8.16/5.76 tff(9141,plain,
% 8.16/5.76 (v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9140, 815])).
% 8.16/5.76 tff(9142,plain,
% 8.16/5.76 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9143,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10')).
% 8.16/5.76 tff(9144,plain,
% 8.16/5.76 (nextState(constB10, constB11)),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9143, 9142])).
% 8.16/5.76 tff(9145,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9146,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9147,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9146, 9145])).
% 8.16/5.76 tff(9148,plain,
% 8.16/5.76 (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9147, 9144, 392])).
% 8.16/5.76 tff(9149,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9150,plain,
% 8.16/5.76 (((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9151,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))))),
% 8.16/5.76 inference(monotonicity,[status(thm)],[9150])).
% 8.16/5.76 tff(9152,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 8.16/5.76 inference(transitivity,[status(thm)],[9151, 9149])).
% 8.16/5.76 tff(9153,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9154,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 8.16/5.76 tff(9155,plain,
% 8.16/5.76 (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9154, 9144, 412])).
% 8.16/5.76 tff(9156,plain,
% 8.16/5.76 (((~v1(constB11)) | (~v102(constB11))) | v1(constB11)),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9157,plain,
% 8.16/5.76 ((~v1(constB11)) | (~v102(constB11))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9156, 9109])).
% 8.16/5.76 tff(9158,plain,
% 8.16/5.76 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11)) | (~((~v1(constB11)) | (~v102(constB11))))),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9159,plain,
% 8.16/5.76 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9158, 9157])).
% 8.16/5.76 tff(9160,plain,
% 8.16/5.76 (~v101(constB11)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9159, 9155])).
% 8.16/5.76 tff(9161,plain,
% 8.16/5.76 (((~v101(constB11)) | (~v110(constB11))) | v101(constB11)),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9162,plain,
% 8.16/5.76 ((~v101(constB11)) | (~v110(constB11))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9161, 9160])).
% 8.16/5.76 tff(9163,plain,
% 8.16/5.76 ((~(v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))) | (~v100(constB11)) | (~((~v101(constB11)) | (~v110(constB11))))),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9164,plain,
% 8.16/5.76 (~v100(constB11)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9163, 9162, 9148])).
% 8.16/5.76 tff(9165,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9166,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9167,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 8.16/5.76 tff(9168,plain,
% 8.16/5.76 (v100(constB11) | ![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9167, 9144, 441])).
% 8.16/5.76 tff(9169,plain,
% 8.16/5.76 (![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9168, 9164])).
% 8.16/5.76 tff(9170,plain,
% 8.16/5.76 (((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9171,plain,
% 8.16/5.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9172,plain,
% 8.16/5.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9171, 9170])).
% 8.16/5.76 tff(9173,plain,
% 8.16/5.76 (v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9172, 648, 9169])).
% 8.16/5.76 tff(9174,plain,
% 8.16/5.76 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9175,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9')).
% 8.16/5.76 tff(9176,plain,
% 8.16/5.76 (nextState(constB9, constB10)),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9175, 9174])).
% 8.16/5.76 tff(9177,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9178,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9179,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 8.16/5.76 tff(9180,plain,
% 8.16/5.76 (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9179, 9176, 392])).
% 8.16/5.76 tff(9181,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9182,plain,
% 8.16/5.76 (((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9183,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))))),
% 8.16/5.76 inference(monotonicity,[status(thm)],[9182])).
% 8.16/5.76 tff(9184,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 8.16/5.76 inference(transitivity,[status(thm)],[9183, 9181])).
% 8.16/5.76 tff(9185,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9186,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 8.16/5.76 tff(9187,plain,
% 8.16/5.76 (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9186, 9176, 412])).
% 8.16/5.76 tff(9188,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9189,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9190,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9189, 9188])).
% 8.16/5.76 tff(9191,plain,
% 8.16/5.76 ((~v102(constB10)) <=> v104(constB10)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9190, 9176, 474])).
% 8.16/5.76 tff(9192,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9193,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9194,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9193, 9192])).
% 8.16/5.76 tff(9195,plain,
% 8.16/5.76 (v104(constB10) <=> v1(constB9)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9194, 9176, 488])).
% 8.16/5.76 tff(9196,plain,
% 8.16/5.76 ((~v1(constB9)) <=> (~v1(constB9))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9197,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9')).
% 8.16/5.76 tff(9198,plain,
% 8.16/5.76 (~v1(constB9)),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 8.16/5.76 tff(9199,plain,
% 8.16/5.76 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10)) | v1(constB9)),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9200,plain,
% 8.16/5.76 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9199, 9198])).
% 8.16/5.76 tff(9201,plain,
% 8.16/5.76 (~v104(constB10)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9200, 9195])).
% 8.16/5.76 tff(9202,plain,
% 8.16/5.76 ((~((~v102(constB10)) <=> v104(constB10))) | v102(constB10) | v104(constB10)),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9203,plain,
% 8.16/5.76 (v102(constB10)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9202, 9201, 9191])).
% 8.16/5.76 tff(9204,plain,
% 8.16/5.76 (v1(constB10) <=> v1(constB10)),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9205,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10')).
% 8.16/5.76 tff(9206,plain,
% 8.16/5.76 (v1(constB10)),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9205, 9204])).
% 8.16/5.76 tff(9207,plain,
% 8.16/5.76 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v1(constB10)) | (~v102(constB10))),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9208,plain,
% 8.16/5.76 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v102(constB10))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9207, 9206])).
% 8.16/5.76 tff(9209,plain,
% 8.16/5.76 (~((~v1(constB10)) | (~v102(constB10)))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9208, 9203])).
% 8.16/5.76 tff(9210,plain,
% 8.16/5.76 ((~(v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))) | v101(constB10) | ((~v1(constB10)) | (~v102(constB10)))),
% 8.16/5.76 inference(tautology,[status(thm)],[])).
% 8.16/5.76 tff(9211,plain,
% 8.16/5.76 (v101(constB10)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9210, 9209, 9187])).
% 8.16/5.76 tff(9212,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9213,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9214,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 8.16/5.76 tff(9215,plain,
% 8.16/5.76 (v110(constB10) <=> v108(constB9)),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9214, 9176, 518])).
% 8.16/5.76 tff(9216,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB9) <=> (v111(constB9) | v112(constB9)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9217,plain,
% 8.16/5.76 (v108(constB9) <=> (v111(constB9) | v112(constB9))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9216, 529])).
% 8.16/5.76 tff(9218,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9219,plain,
% 8.16/5.76 (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9218, 541])).
% 8.16/5.76 tff(9220,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB9) <=> (v114(constB9) | v125(constB9)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9221,plain,
% 8.16/5.76 (v113(constB9) <=> (v114(constB9) | v125(constB9))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9220, 550])).
% 8.16/5.76 tff(9222,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB9) <=> (v115(constB9) | v124(constB9)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9223,plain,
% 8.16/5.76 (v114(constB9) <=> (v115(constB9) | v124(constB9))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9222, 559])).
% 8.16/5.76 tff(9224,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB9) <=> (v116(constB9) | v123(constB9)))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9225,plain,
% 8.16/5.76 (v115(constB9) <=> (v116(constB9) | v123(constB9))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9224, 568])).
% 8.16/5.76 tff(9226,plain,
% 8.16/5.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0)))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9227,plain,
% 8.16/5.76 ((v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2))))) <=> (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9228,plain,
% 8.16/5.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0)))))),
% 8.16/5.76 inference(monotonicity,[status(thm)],[9227])).
% 8.16/5.76 tff(9229,plain,
% 8.16/5.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0)))))),
% 8.16/5.76 inference(transitivity,[status(thm)],[9228, 9226])).
% 8.16/5.76 tff(9230,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9231,plain,
% 8.16/5.76 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9230, 9229])).
% 8.16/5.76 tff(9232,plain,
% 8.16/5.76 (v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0)))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9231, 919])).
% 8.16/5.76 tff(9233,plain,
% 8.16/5.76 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9234,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8')).
% 8.16/5.76 tff(9235,plain,
% 8.16/5.76 (nextState(constB8, constB9)),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9234, 9233])).
% 8.16/5.76 tff(9236,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 8.16/5.76 inference(rewrite,[status(thm)],[])).
% 8.16/5.76 tff(9237,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 8.16/5.76 inference(quant_inst,[status(thm)],[])).
% 8.16/5.76 tff(9238,plain,
% 8.16/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))),
% 8.16/5.76 inference(modus_ponens,[status(thm)],[9237, 9236])).
% 8.16/5.76 tff(9239,plain,
% 8.16/5.76 (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))),
% 8.16/5.76 inference(unit_resolution,[status(thm)],[9238, 9235, 392])).
% 8.16/5.76 tff(9240,plain,
% 8.16/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9241,plain,
% 8.16/5.77 (((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9242,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))))),
% 8.16/5.77 inference(monotonicity,[status(thm)],[9241])).
% 8.16/5.77 tff(9243,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 8.16/5.77 inference(transitivity,[status(thm)],[9242, 9240])).
% 8.16/5.77 tff(9244,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9245,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9244, 9243])).
% 8.16/5.77 tff(9246,plain,
% 8.16/5.77 (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9245, 9235, 412])).
% 8.16/5.77 tff(9247,plain,
% 8.16/5.77 (((~v1(constB9)) | (~v102(constB9))) | v1(constB9)),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9248,plain,
% 8.16/5.77 ((~v1(constB9)) | (~v102(constB9))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9247, 9198])).
% 8.16/5.77 tff(9249,plain,
% 8.16/5.77 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9)) | (~((~v1(constB9)) | (~v102(constB9))))),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9250,plain,
% 8.16/5.77 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9249, 9248])).
% 8.16/5.77 tff(9251,plain,
% 8.16/5.77 (~v101(constB9)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9250, 9246])).
% 8.16/5.77 tff(9252,plain,
% 8.16/5.77 (((~v101(constB9)) | (~v110(constB9))) | v101(constB9)),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9253,plain,
% 8.16/5.77 ((~v101(constB9)) | (~v110(constB9))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9252, 9251])).
% 8.16/5.77 tff(9254,plain,
% 8.16/5.77 ((~(v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))) | (~v100(constB9)) | (~((~v101(constB9)) | (~v110(constB9))))),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9255,plain,
% 8.16/5.77 (~v100(constB9)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9254, 9253, 9239])).
% 8.16/5.77 tff(9256,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9257,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9258,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9257, 9256])).
% 8.16/5.77 tff(9259,plain,
% 8.16/5.77 (v100(constB9) | ![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9258, 9235, 441])).
% 8.16/5.77 tff(9260,plain,
% 8.16/5.77 (![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9259, 9255])).
% 8.16/5.77 tff(9261,plain,
% 8.16/5.77 (((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9262,plain,
% 8.16/5.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9263,plain,
% 8.16/5.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9262, 9261])).
% 8.16/5.77 tff(9264,plain,
% 8.16/5.77 (v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9263, 648, 9260])).
% 8.16/5.77 tff(9265,plain,
% 8.16/5.77 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9266,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7')).
% 8.16/5.77 tff(9267,plain,
% 8.16/5.77 (nextState(constB7, constB8)),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 8.16/5.77 tff(9268,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9269,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9270,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9269, 9268])).
% 8.16/5.77 tff(9271,plain,
% 8.16/5.77 (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9270, 9267, 392])).
% 8.16/5.77 tff(9272,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9273,plain,
% 8.16/5.77 (((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9274,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))))),
% 8.16/5.77 inference(monotonicity,[status(thm)],[9273])).
% 8.16/5.77 tff(9275,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 8.16/5.77 inference(transitivity,[status(thm)],[9274, 9272])).
% 8.16/5.77 tff(9276,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9277,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9276, 9275])).
% 8.16/5.77 tff(9278,plain,
% 8.16/5.77 (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9277, 9267, 412])).
% 8.16/5.77 tff(9279,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9280,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9281,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9280, 9279])).
% 8.16/5.77 tff(9282,plain,
% 8.16/5.77 ((~v102(constB8)) <=> v104(constB8)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9281, 9267, 474])).
% 8.16/5.77 tff(9283,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9284,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9285,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9284, 9283])).
% 8.16/5.77 tff(9286,plain,
% 8.16/5.77 (v104(constB8) <=> v1(constB7)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9285, 9267, 488])).
% 8.16/5.77 tff(9287,plain,
% 8.16/5.77 ((~v1(constB7)) <=> (~v1(constB7))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9288,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7')).
% 8.16/5.77 tff(9289,plain,
% 8.16/5.77 (~v1(constB7)),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9288, 9287])).
% 8.16/5.77 tff(9290,plain,
% 8.16/5.77 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8)) | v1(constB7)),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9291,plain,
% 8.16/5.77 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9290, 9289])).
% 8.16/5.77 tff(9292,plain,
% 8.16/5.77 (~v104(constB8)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9291, 9286])).
% 8.16/5.77 tff(9293,plain,
% 8.16/5.77 ((~((~v102(constB8)) <=> v104(constB8))) | v102(constB8) | v104(constB8)),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9294,plain,
% 8.16/5.77 (v102(constB8)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9293, 9292, 9282])).
% 8.16/5.77 tff(9295,plain,
% 8.16/5.77 (v1(constB8) <=> v1(constB8)),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9296,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8')).
% 8.16/5.77 tff(9297,plain,
% 8.16/5.77 (v1(constB8)),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9296, 9295])).
% 8.16/5.77 tff(9298,plain,
% 8.16/5.77 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v1(constB8)) | (~v102(constB8))),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9299,plain,
% 8.16/5.77 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v102(constB8))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9298, 9297])).
% 8.16/5.77 tff(9300,plain,
% 8.16/5.77 (~((~v1(constB8)) | (~v102(constB8)))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9299, 9294])).
% 8.16/5.77 tff(9301,plain,
% 8.16/5.77 ((~(v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))) | v101(constB8) | ((~v1(constB8)) | (~v102(constB8)))),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9302,plain,
% 8.16/5.77 (v101(constB8)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9301, 9300, 9278])).
% 8.16/5.77 tff(9303,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9304,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9305,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9304, 9303])).
% 8.16/5.77 tff(9306,plain,
% 8.16/5.77 (v110(constB8) <=> v108(constB7)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9305, 9267, 518])).
% 8.16/5.77 tff(9307,plain,
% 8.16/5.77 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB7) <=> (v111(constB7) | v112(constB7)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9308,plain,
% 8.16/5.77 (v108(constB7) <=> (v111(constB7) | v112(constB7))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9307, 529])).
% 8.16/5.77 tff(9309,plain,
% 8.16/5.77 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9310,plain,
% 8.16/5.77 (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9309, 541])).
% 8.16/5.77 tff(9311,plain,
% 8.16/5.77 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB7) <=> (v114(constB7) | v125(constB7)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9312,plain,
% 8.16/5.77 (v113(constB7) <=> (v114(constB7) | v125(constB7))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9311, 550])).
% 8.16/5.77 tff(9313,plain,
% 8.16/5.77 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB7) <=> (v115(constB7) | v124(constB7)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9314,plain,
% 8.16/5.77 (v114(constB7) <=> (v115(constB7) | v124(constB7))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9313, 559])).
% 8.16/5.77 tff(9315,plain,
% 8.16/5.77 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB7) <=> (v116(constB7) | v123(constB7)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9316,plain,
% 8.16/5.77 (v115(constB7) <=> (v116(constB7) | v123(constB7))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9315, 568])).
% 8.16/5.77 tff(9317,plain,
% 8.16/5.77 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB7) <=> (v117(constB7) | v122(constB7)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9318,plain,
% 8.16/5.77 (v116(constB7) <=> (v117(constB7) | v122(constB7))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9317, 577])).
% 8.16/5.77 tff(9319,plain,
% 8.16/5.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9320,plain,
% 8.16/5.77 ((v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1))))) <=> (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9321,plain,
% 8.16/5.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))))),
% 8.16/5.77 inference(monotonicity,[status(thm)],[9320])).
% 8.16/5.77 tff(9322,plain,
% 8.16/5.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))))),
% 8.16/5.77 inference(transitivity,[status(thm)],[9321, 9319])).
% 8.16/5.77 tff(9323,plain,
% 8.16/5.77 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9324,plain,
% 8.16/5.77 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9323, 9322])).
% 8.16/5.77 tff(9325,plain,
% 8.16/5.77 (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9324, 1025])).
% 8.16/5.77 tff(9326,plain,
% 8.16/5.77 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9327,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6')).
% 8.16/5.77 tff(9328,plain,
% 8.16/5.77 (nextState(constB6, constB7)),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9327, 9326])).
% 8.16/5.77 tff(9329,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9330,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9331,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9330, 9329])).
% 8.16/5.77 tff(9332,plain,
% 8.16/5.77 (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9331, 9328, 392])).
% 8.16/5.77 tff(9333,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9334,plain,
% 8.16/5.77 (((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9335,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))))),
% 8.16/5.77 inference(monotonicity,[status(thm)],[9334])).
% 8.16/5.77 tff(9336,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 8.16/5.77 inference(transitivity,[status(thm)],[9335, 9333])).
% 8.16/5.77 tff(9337,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9338,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9337, 9336])).
% 8.16/5.77 tff(9339,plain,
% 8.16/5.77 (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9338, 9328, 412])).
% 8.16/5.77 tff(9340,plain,
% 8.16/5.77 (((~v1(constB7)) | (~v102(constB7))) | v1(constB7)),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9341,plain,
% 8.16/5.77 ((~v1(constB7)) | (~v102(constB7))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9340, 9289])).
% 8.16/5.77 tff(9342,plain,
% 8.16/5.77 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7)) | (~((~v1(constB7)) | (~v102(constB7))))),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9343,plain,
% 8.16/5.77 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9342, 9341])).
% 8.16/5.77 tff(9344,plain,
% 8.16/5.77 (~v101(constB7)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9343, 9339])).
% 8.16/5.77 tff(9345,plain,
% 8.16/5.77 (((~v101(constB7)) | (~v110(constB7))) | v101(constB7)),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9346,plain,
% 8.16/5.77 ((~v101(constB7)) | (~v110(constB7))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9345, 9344])).
% 8.16/5.77 tff(9347,plain,
% 8.16/5.77 ((~(v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))) | (~v100(constB7)) | (~((~v101(constB7)) | (~v110(constB7))))),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9348,plain,
% 8.16/5.77 (~v100(constB7)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9347, 9346, 9332])).
% 8.16/5.77 tff(9349,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9350,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9351,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9350, 9349])).
% 8.16/5.77 tff(9352,plain,
% 8.16/5.77 (v100(constB7) | ![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9351, 9328, 441])).
% 8.16/5.77 tff(9353,plain,
% 8.16/5.77 (![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9352, 9348])).
% 8.16/5.77 tff(9354,plain,
% 8.16/5.77 (((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9355,plain,
% 8.16/5.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9356,plain,
% 8.16/5.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9355, 9354])).
% 8.16/5.77 tff(9357,plain,
% 8.16/5.77 (v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9356, 648, 9353])).
% 8.16/5.77 tff(9358,plain,
% 8.16/5.77 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9359,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5')).
% 8.16/5.77 tff(9360,plain,
% 8.16/5.77 (nextState(constB5, constB6)),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9359, 9358])).
% 8.16/5.77 tff(9361,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9362,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9363,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 8.16/5.77 tff(9364,plain,
% 8.16/5.77 (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9363, 9360, 392])).
% 8.16/5.77 tff(9365,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9366,plain,
% 8.16/5.77 (((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6)))))) <=> ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9367,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))))),
% 8.16/5.77 inference(monotonicity,[status(thm)],[9366])).
% 8.16/5.77 tff(9368,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 8.16/5.77 inference(transitivity,[status(thm)],[9367, 9365])).
% 8.16/5.77 tff(9369,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9370,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 8.16/5.77 tff(9371,plain,
% 8.16/5.77 (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9370, 9360, 412])).
% 8.16/5.77 tff(9372,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9373,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9374,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9373, 9372])).
% 8.16/5.77 tff(9375,plain,
% 8.16/5.77 ((~v102(constB6)) <=> v104(constB6)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9374, 9360, 474])).
% 8.16/5.77 tff(9376,plain,
% 8.16/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9377,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 8.16/5.77 inference(quant_inst,[status(thm)],[])).
% 8.16/5.77 tff(9378,plain,
% 8.16/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5))),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9377, 9376])).
% 8.16/5.77 tff(9379,plain,
% 8.16/5.77 (v104(constB6) <=> v1(constB5)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9378, 9360, 488])).
% 8.16/5.77 tff(9380,plain,
% 8.16/5.77 ((~v1(constB5)) <=> (~v1(constB5))),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9381,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5')).
% 8.16/5.77 tff(9382,plain,
% 8.16/5.77 (~v1(constB5)),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 8.16/5.77 tff(9383,plain,
% 8.16/5.77 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6)) | v1(constB5)),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9384,plain,
% 8.16/5.77 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9383, 9382])).
% 8.16/5.77 tff(9385,plain,
% 8.16/5.77 (~v104(constB6)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9384, 9379])).
% 8.16/5.77 tff(9386,plain,
% 8.16/5.77 ((~((~v102(constB6)) <=> v104(constB6))) | v102(constB6) | v104(constB6)),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9387,plain,
% 8.16/5.77 (v102(constB6)),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9386, 9385, 9375])).
% 8.16/5.77 tff(9388,plain,
% 8.16/5.77 (v1(constB6) <=> v1(constB6)),
% 8.16/5.77 inference(rewrite,[status(thm)],[])).
% 8.16/5.77 tff(9389,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6')).
% 8.16/5.77 tff(9390,plain,
% 8.16/5.77 (v1(constB6)),
% 8.16/5.77 inference(modus_ponens,[status(thm)],[9389, 9388])).
% 8.16/5.77 tff(9391,plain,
% 8.16/5.77 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v1(constB6)) | (~v102(constB6))),
% 8.16/5.77 inference(tautology,[status(thm)],[])).
% 8.16/5.77 tff(9392,plain,
% 8.16/5.77 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v102(constB6))),
% 8.16/5.77 inference(unit_resolution,[status(thm)],[9391, 9390])).
% 8.16/5.78 tff(9393,plain,
% 8.16/5.78 (~((~v1(constB6)) | (~v102(constB6)))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9392, 9387])).
% 8.16/5.78 tff(9394,plain,
% 8.16/5.78 ((~(v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))) | v101(constB6) | ((~v1(constB6)) | (~v102(constB6)))),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9395,plain,
% 8.16/5.78 (v101(constB6)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9394, 9393, 9371])).
% 8.16/5.78 tff(9396,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9397,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9398,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9397, 9396])).
% 8.16/5.78 tff(9399,plain,
% 8.16/5.78 (v110(constB6) <=> v108(constB5)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9398, 9360, 518])).
% 8.16/5.78 tff(9400,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB5) <=> (v111(constB5) | v112(constB5)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9401,plain,
% 8.16/5.78 (v108(constB5) <=> (v111(constB5) | v112(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9400, 529])).
% 8.16/5.78 tff(9402,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9403,plain,
% 8.16/5.78 (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9402, 541])).
% 8.16/5.78 tff(9404,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB5) <=> (v114(constB5) | v125(constB5)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9405,plain,
% 8.16/5.78 (v113(constB5) <=> (v114(constB5) | v125(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9404, 550])).
% 8.16/5.78 tff(9406,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB5) <=> (v115(constB5) | v124(constB5)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9407,plain,
% 8.16/5.78 (v114(constB5) <=> (v115(constB5) | v124(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9406, 559])).
% 8.16/5.78 tff(9408,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB5) <=> (v116(constB5) | v123(constB5)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9409,plain,
% 8.16/5.78 (v115(constB5) <=> (v116(constB5) | v123(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9408, 568])).
% 8.16/5.78 tff(9410,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB5) <=> (v117(constB5) | v122(constB5)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9411,plain,
% 8.16/5.78 (v116(constB5) <=> (v117(constB5) | v122(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9410, 577])).
% 8.16/5.78 tff(9412,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB5) <=> (v118(constB5) | v121(constB5)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9413,plain,
% 8.16/5.78 (v117(constB5) <=> (v118(constB5) | v121(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9412, 586])).
% 8.16/5.78 tff(9414,plain,
% 8.16/5.78 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9415,plain,
% 8.16/5.78 ((v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1))))) <=> (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9416,plain,
% 8.16/5.78 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 8.16/5.78 inference(monotonicity,[status(thm)],[9415])).
% 8.16/5.78 tff(9417,plain,
% 8.16/5.78 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))))),
% 8.16/5.78 inference(transitivity,[status(thm)],[9416, 9414])).
% 8.16/5.78 tff(9418,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9419,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9418, 9417])).
% 8.16/5.78 tff(9420,plain,
% 8.16/5.78 (v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9419, 1133])).
% 8.16/5.78 tff(9421,plain,
% 8.16/5.78 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9422,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4')).
% 8.16/5.78 tff(9423,plain,
% 8.16/5.78 (nextState(constB4, constB5)),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9422, 9421])).
% 8.16/5.78 tff(9424,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9425,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9426,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 8.16/5.78 tff(9427,plain,
% 8.16/5.78 (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9426, 9423, 392])).
% 8.16/5.78 tff(9428,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9429,plain,
% 8.16/5.78 (((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9430,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))))),
% 8.16/5.78 inference(monotonicity,[status(thm)],[9429])).
% 8.16/5.78 tff(9431,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 8.16/5.78 inference(transitivity,[status(thm)],[9430, 9428])).
% 8.16/5.78 tff(9432,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9433,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9432, 9431])).
% 8.16/5.78 tff(9434,plain,
% 8.16/5.78 (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9433, 9423, 412])).
% 8.16/5.78 tff(9435,plain,
% 8.16/5.78 (((~v1(constB5)) | (~v102(constB5))) | v1(constB5)),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9436,plain,
% 8.16/5.78 ((~v1(constB5)) | (~v102(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9435, 9382])).
% 8.16/5.78 tff(9437,plain,
% 8.16/5.78 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5)) | (~((~v1(constB5)) | (~v102(constB5))))),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9438,plain,
% 8.16/5.78 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9437, 9436])).
% 8.16/5.78 tff(9439,plain,
% 8.16/5.78 (~v101(constB5)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9438, 9434])).
% 8.16/5.78 tff(9440,plain,
% 8.16/5.78 (((~v101(constB5)) | (~v110(constB5))) | v101(constB5)),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9441,plain,
% 8.16/5.78 ((~v101(constB5)) | (~v110(constB5))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9440, 9439])).
% 8.16/5.78 tff(9442,plain,
% 8.16/5.78 ((~(v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))) | (~v100(constB5)) | (~((~v101(constB5)) | (~v110(constB5))))),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9443,plain,
% 8.16/5.78 (~v100(constB5)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9442, 9441, 9427])).
% 8.16/5.78 tff(9444,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9445,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9446,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 8.16/5.78 tff(9447,plain,
% 8.16/5.78 (v100(constB5) | ![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9446, 9423, 441])).
% 8.16/5.78 tff(9448,plain,
% 8.16/5.78 (![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9447, 9443])).
% 8.16/5.78 tff(9449,plain,
% 8.16/5.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9450,plain,
% 8.16/5.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9451,plain,
% 8.16/5.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9450, 9449])).
% 8.16/5.78 tff(9452,plain,
% 8.16/5.78 (v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9451, 648, 9448])).
% 8.16/5.78 tff(9453,plain,
% 8.16/5.78 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9454,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3')).
% 8.16/5.78 tff(9455,plain,
% 8.16/5.78 (nextState(constB3, constB4)),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9454, 9453])).
% 8.16/5.78 tff(9456,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9457,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9458,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 8.16/5.78 tff(9459,plain,
% 8.16/5.78 (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9458, 9455, 392])).
% 8.16/5.78 tff(9460,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9461,plain,
% 8.16/5.78 (((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4)))))) <=> ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9462,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))))),
% 8.16/5.78 inference(monotonicity,[status(thm)],[9461])).
% 8.16/5.78 tff(9463,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 8.16/5.78 inference(transitivity,[status(thm)],[9462, 9460])).
% 8.16/5.78 tff(9464,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9465,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 8.16/5.78 tff(9466,plain,
% 8.16/5.78 (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9465, 9455, 412])).
% 8.16/5.78 tff(9467,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9468,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9469,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9468, 9467])).
% 8.16/5.78 tff(9470,plain,
% 8.16/5.78 ((~v102(constB4)) <=> v104(constB4)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9469, 9455, 474])).
% 8.16/5.78 tff(9471,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9472,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9473,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9472, 9471])).
% 8.16/5.78 tff(9474,plain,
% 8.16/5.78 (v104(constB4) <=> v1(constB3)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9473, 9455, 488])).
% 8.16/5.78 tff(9475,plain,
% 8.16/5.78 ((~v1(constB3)) <=> (~v1(constB3))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9476,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3')).
% 8.16/5.78 tff(9477,plain,
% 8.16/5.78 (~v1(constB3)),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9476, 9475])).
% 8.16/5.78 tff(9478,plain,
% 8.16/5.78 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4)) | v1(constB3)),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9479,plain,
% 8.16/5.78 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9478, 9477])).
% 8.16/5.78 tff(9480,plain,
% 8.16/5.78 (~v104(constB4)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9479, 9474])).
% 8.16/5.78 tff(9481,plain,
% 8.16/5.78 ((~((~v102(constB4)) <=> v104(constB4))) | v102(constB4) | v104(constB4)),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9482,plain,
% 8.16/5.78 (v102(constB4)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9481, 9480, 9470])).
% 8.16/5.78 tff(9483,plain,
% 8.16/5.78 (v1(constB4) <=> v1(constB4)),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9484,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4')).
% 8.16/5.78 tff(9485,plain,
% 8.16/5.78 (v1(constB4)),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9484, 9483])).
% 8.16/5.78 tff(9486,plain,
% 8.16/5.78 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v1(constB4)) | (~v102(constB4))),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9487,plain,
% 8.16/5.78 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v102(constB4))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9486, 9485])).
% 8.16/5.78 tff(9488,plain,
% 8.16/5.78 (~((~v1(constB4)) | (~v102(constB4)))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9487, 9482])).
% 8.16/5.78 tff(9489,plain,
% 8.16/5.78 ((~(v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))) | v101(constB4) | ((~v1(constB4)) | (~v102(constB4)))),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9490,plain,
% 8.16/5.78 (v101(constB4)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9489, 9488, 9466])).
% 8.16/5.78 tff(9491,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9492,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9493,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 8.16/5.78 tff(9494,plain,
% 8.16/5.78 (v110(constB4) <=> v108(constB3)),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9493, 9455, 518])).
% 8.16/5.78 tff(9495,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB3) <=> (v111(constB3) | v112(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9496,plain,
% 8.16/5.78 (v108(constB3) <=> (v111(constB3) | v112(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9495, 529])).
% 8.16/5.78 tff(9497,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9498,plain,
% 8.16/5.78 (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9497, 541])).
% 8.16/5.78 tff(9499,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB3) <=> (v114(constB3) | v125(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9500,plain,
% 8.16/5.78 (v113(constB3) <=> (v114(constB3) | v125(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9499, 550])).
% 8.16/5.78 tff(9501,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB3) <=> (v115(constB3) | v124(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9502,plain,
% 8.16/5.78 (v114(constB3) <=> (v115(constB3) | v124(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9501, 559])).
% 8.16/5.78 tff(9503,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB3) <=> (v116(constB3) | v123(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9504,plain,
% 8.16/5.78 (v115(constB3) <=> (v116(constB3) | v123(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9503, 568])).
% 8.16/5.78 tff(9505,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB3) <=> (v117(constB3) | v122(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9506,plain,
% 8.16/5.78 (v116(constB3) <=> (v117(constB3) | v122(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9505, 577])).
% 8.16/5.78 tff(9507,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB3) <=> (v118(constB3) | v121(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9508,plain,
% 8.16/5.78 (v117(constB3) <=> (v118(constB3) | v121(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9507, 586])).
% 8.16/5.78 tff(9509,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB3) <=> (v119(constB3) | v120(constB3)))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9510,plain,
% 8.16/5.78 (v118(constB3) <=> (v119(constB3) | v120(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9509, 595])).
% 8.16/5.78 tff(9511,plain,
% 8.16/5.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9512,plain,
% 8.16/5.78 ((v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0))))) <=> (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9513,plain,
% 8.16/5.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0))))))),
% 8.16/5.78 inference(monotonicity,[status(thm)],[9512])).
% 8.16/5.78 tff(9514,plain,
% 8.16/5.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0))))))),
% 8.16/5.78 inference(transitivity,[status(thm)],[9513, 9511])).
% 8.16/5.78 tff(9515,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9516,plain,
% 8.16/5.78 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 8.16/5.78 tff(9517,plain,
% 8.16/5.78 (v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9516, 610])).
% 8.16/5.78 tff(9518,plain,
% 8.16/5.78 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9519,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2')).
% 8.16/5.78 tff(9520,plain,
% 8.16/5.78 (nextState(constB2, constB3)),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 8.16/5.78 tff(9521,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9522,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9523,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9522, 9521])).
% 8.16/5.78 tff(9524,plain,
% 8.16/5.78 (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9523, 9520, 392])).
% 8.16/5.78 tff(9525,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9526,plain,
% 8.16/5.78 (((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 8.16/5.78 inference(rewrite,[status(thm)],[])).
% 8.16/5.78 tff(9527,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))))),
% 8.16/5.78 inference(monotonicity,[status(thm)],[9526])).
% 8.16/5.78 tff(9528,plain,
% 8.16/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 8.16/5.78 inference(transitivity,[status(thm)],[9527, 9525])).
% 8.16/5.78 tff(9529,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))),
% 8.16/5.78 inference(quant_inst,[status(thm)],[])).
% 8.16/5.78 tff(9530,plain,
% 8.16/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))),
% 8.16/5.78 inference(modus_ponens,[status(thm)],[9529, 9528])).
% 8.16/5.78 tff(9531,plain,
% 8.16/5.78 (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9530, 9520, 412])).
% 8.16/5.78 tff(9532,plain,
% 8.16/5.78 (((~v1(constB3)) | (~v102(constB3))) | v1(constB3)),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9533,plain,
% 8.16/5.78 ((~v1(constB3)) | (~v102(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9532, 9477])).
% 8.16/5.78 tff(9534,plain,
% 8.16/5.78 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3)) | (~((~v1(constB3)) | (~v102(constB3))))),
% 8.16/5.78 inference(tautology,[status(thm)],[])).
% 8.16/5.78 tff(9535,plain,
% 8.16/5.78 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3))),
% 8.16/5.78 inference(unit_resolution,[status(thm)],[9534, 9533])).
% 8.16/5.78 tff(9536,plain,
% 8.16/5.78 (~v101(constB3)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9535, 9531])).
% 8.16/5.79 tff(9537,plain,
% 8.16/5.79 (((~v101(constB3)) | (~v110(constB3))) | v101(constB3)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9538,plain,
% 8.16/5.79 ((~v101(constB3)) | (~v110(constB3))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9537, 9536])).
% 8.16/5.79 tff(9539,plain,
% 8.16/5.79 ((~(v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))) | (~v100(constB3)) | (~((~v101(constB3)) | (~v110(constB3))))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9540,plain,
% 8.16/5.79 (~v100(constB3)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9539, 9538, 9524])).
% 8.16/5.79 tff(9541,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9542,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B))))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9543,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9542, 9541])).
% 8.16/5.79 tff(9544,plain,
% 8.16/5.79 (v100(constB3) | ![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9543, 9520, 441])).
% 8.16/5.79 tff(9545,plain,
% 8.16/5.79 (![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9544, 9540])).
% 8.16/5.79 tff(9546,plain,
% 8.16/5.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9547,plain,
% 8.16/5.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9548,plain,
% 8.16/5.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9547, 9546])).
% 8.16/5.79 tff(9549,plain,
% 8.16/5.79 (v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9548, 648, 9545])).
% 8.16/5.79 tff(9550,plain,
% 8.16/5.79 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9551,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1')).
% 8.16/5.79 tff(9552,plain,
% 8.16/5.79 (nextState(constB1, constB2)),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9551, 9550])).
% 8.16/5.79 tff(9553,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9554,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9555,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9554, 9553])).
% 8.16/5.79 tff(9556,plain,
% 8.16/5.79 (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9555, 9552, 392])).
% 8.16/5.79 tff(9557,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9558,plain,
% 8.16/5.79 (((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9559,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))))),
% 8.16/5.79 inference(monotonicity,[status(thm)],[9558])).
% 8.16/5.79 tff(9560,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 8.16/5.79 inference(transitivity,[status(thm)],[9559, 9557])).
% 8.16/5.79 tff(9561,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9562,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 8.16/5.79 tff(9563,plain,
% 8.16/5.79 (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9562, 9552, 412])).
% 8.16/5.79 tff(9564,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9565,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9566,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9565, 9564])).
% 8.16/5.79 tff(9567,plain,
% 8.16/5.79 ((~v102(constB2)) <=> v104(constB2)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9566, 9552, 474])).
% 8.16/5.79 tff(9568,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9569,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9570,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 8.16/5.79 tff(9571,plain,
% 8.16/5.79 (v104(constB2) <=> v1(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9570, 9552, 488])).
% 8.16/5.79 tff(9572,plain,
% 8.16/5.79 ((~v1(constB1)) <=> (~v1(constB1))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9573,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1')).
% 8.16/5.79 tff(9574,plain,
% 8.16/5.79 (~v1(constB1)),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9573, 9572])).
% 8.16/5.79 tff(9575,plain,
% 8.16/5.79 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2)) | v1(constB1)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9576,plain,
% 8.16/5.79 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9575, 9574])).
% 8.16/5.79 tff(9577,plain,
% 8.16/5.79 (~v104(constB2)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9576, 9571])).
% 8.16/5.79 tff(9578,plain,
% 8.16/5.79 ((~((~v102(constB2)) <=> v104(constB2))) | v102(constB2) | v104(constB2)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9579,plain,
% 8.16/5.79 (v102(constB2)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9578, 9577, 9567])).
% 8.16/5.79 tff(9580,plain,
% 8.16/5.79 (v1(constB2) <=> v1(constB2)),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9581,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2')).
% 8.16/5.79 tff(9582,plain,
% 8.16/5.79 (v1(constB2)),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9581, 9580])).
% 8.16/5.79 tff(9583,plain,
% 8.16/5.79 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v1(constB2)) | (~v102(constB2))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9584,plain,
% 8.16/5.79 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v102(constB2))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9583, 9582])).
% 8.16/5.79 tff(9585,plain,
% 8.16/5.79 (~((~v1(constB2)) | (~v102(constB2)))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9584, 9579])).
% 8.16/5.79 tff(9586,plain,
% 8.16/5.79 ((~(v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))) | v101(constB2) | ((~v1(constB2)) | (~v102(constB2)))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9587,plain,
% 8.16/5.79 (v101(constB2)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9586, 9585, 9563])).
% 8.16/5.79 tff(9588,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9589,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9590,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 8.16/5.79 tff(9591,plain,
% 8.16/5.79 (v110(constB2) <=> v108(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9590, 9552, 518])).
% 8.16/5.79 tff(9592,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB1) <=> (v111(constB1) | v112(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9593,plain,
% 8.16/5.79 (v108(constB1) <=> (v111(constB1) | v112(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9592, 529])).
% 8.16/5.79 tff(9594,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9595,plain,
% 8.16/5.79 (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1))))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9594, 541])).
% 8.16/5.79 tff(9596,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB1) <=> (v114(constB1) | v125(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9597,plain,
% 8.16/5.79 (v113(constB1) <=> (v114(constB1) | v125(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9596, 550])).
% 8.16/5.79 tff(9598,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB1) <=> (v115(constB1) | v124(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9599,plain,
% 8.16/5.79 (v114(constB1) <=> (v115(constB1) | v124(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9598, 559])).
% 8.16/5.79 tff(9600,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB1) <=> (v116(constB1) | v123(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9601,plain,
% 8.16/5.79 (v115(constB1) <=> (v116(constB1) | v123(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9600, 568])).
% 8.16/5.79 tff(9602,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB1) <=> (v117(constB1) | v122(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9603,plain,
% 8.16/5.79 (v116(constB1) <=> (v117(constB1) | v122(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9602, 577])).
% 8.16/5.79 tff(9604,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB1) <=> (v118(constB1) | v121(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9605,plain,
% 8.16/5.79 (v117(constB1) <=> (v118(constB1) | v121(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9604, 586])).
% 8.16/5.79 tff(9606,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB1) <=> (v119(constB1) | v120(constB1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9607,plain,
% 8.16/5.79 (v118(constB1) <=> (v119(constB1) | v120(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9606, 595])).
% 8.16/5.79 tff(9608,plain,
% 8.16/5.79 (^[VarCurr: $i] : refl((v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))))),
% 8.16/5.79 inference(bind,[status(th)],[])).
% 8.16/5.79 tff(9609,plain,
% 8.16/5.79 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 8.16/5.79 inference(quant_intro,[status(thm)],[9608])).
% 8.16/5.79 tff(9610,plain,
% 8.16/5.79 (^[VarCurr: $i] : rewrite((v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))))),
% 8.16/5.79 inference(bind,[status(th)],[])).
% 8.16/5.79 tff(9611,plain,
% 8.16/5.79 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 8.16/5.79 inference(quant_intro,[status(thm)],[9610])).
% 8.16/5.79 tff(9612,plain,
% 8.16/5.79 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9613,plain,
% 8.16/5.79 (^[VarCurr: $i] : rewrite((v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))))),
% 8.16/5.79 inference(bind,[status(th)],[])).
% 8.16/5.79 tff(9614,plain,
% 8.16/5.79 (![VarCurr: $i] : (v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 8.16/5.79 inference(quant_intro,[status(thm)],[9613])).
% 8.16/5.79 tff(9615,axiom,(![VarCurr: $i] : (v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2')).
% 8.16/5.79 tff(9616,plain,
% 8.16/5.79 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9615, 9614])).
% 8.16/5.79 tff(9617,plain,
% 8.16/5.79 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9616, 9612])).
% 8.16/5.79 tff(9618,plain,(
% 8.16/5.79 ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 8.16/5.79 inference(skolemize,[status(sab)],[9617])).
% 8.16/5.79 tff(9619,plain,
% 8.16/5.79 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9618, 9611])).
% 8.16/5.79 tff(9620,plain,
% 8.16/5.79 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9619, 9609])).
% 8.16/5.79 tff(9621,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9622,plain,
% 8.16/5.79 (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9621, 9620])).
% 8.16/5.79 tff(9623,plain,
% 8.16/5.79 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9624,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom')).
% 8.16/5.79 tff(9625,plain,
% 8.16/5.79 (nextState(constB0, constB1)),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9624, 9623])).
% 8.16/5.79 tff(9626,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9627,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9628,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 8.16/5.79 tff(9629,plain,
% 8.16/5.79 (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9628, 9625, 392])).
% 8.16/5.79 tff(9630,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9631,plain,
% 8.16/5.79 (((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9632,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))))),
% 8.16/5.79 inference(monotonicity,[status(thm)],[9631])).
% 8.16/5.79 tff(9633,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 8.16/5.79 inference(transitivity,[status(thm)],[9632, 9630])).
% 8.16/5.79 tff(9634,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9635,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9634, 9633])).
% 8.16/5.79 tff(9636,plain,
% 8.16/5.79 (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9635, 9625, 412])).
% 8.16/5.79 tff(9637,plain,
% 8.16/5.79 (((~v1(constB1)) | (~v102(constB1))) | v1(constB1)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9638,plain,
% 8.16/5.79 ((~v1(constB1)) | (~v102(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9637, 9574])).
% 8.16/5.79 tff(9639,plain,
% 8.16/5.79 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1)) | (~((~v1(constB1)) | (~v102(constB1))))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9640,plain,
% 8.16/5.79 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9639, 9638])).
% 8.16/5.79 tff(9641,plain,
% 8.16/5.79 (~v101(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9640, 9636])).
% 8.16/5.79 tff(9642,plain,
% 8.16/5.79 (((~v101(constB1)) | (~v110(constB1))) | v101(constB1)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9643,plain,
% 8.16/5.79 ((~v101(constB1)) | (~v110(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9642, 9641])).
% 8.16/5.79 tff(9644,plain,
% 8.16/5.79 ((~(v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))) | (~v100(constB1)) | (~((~v101(constB1)) | (~v110(constB1))))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9645,plain,
% 8.16/5.79 (~v100(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9644, 9643, 9629])).
% 8.16/5.79 tff(9646,plain,
% 8.16/5.79 (((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B))))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9647,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | (v100(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B))))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9648,plain,
% 8.16/5.79 ((~![VarCurr: $i, VarNext: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v90(VarCurr, B))))) | v100(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 8.16/5.79 tff(9649,plain,
% 8.16/5.79 (v100(constB1) | ![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9648, 9625, 441])).
% 8.16/5.79 tff(9650,plain,
% 8.16/5.79 (![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9649, 9645])).
% 8.16/5.79 tff(9651,plain,
% 8.16/5.79 (less_3(bitIndex0) <=> less_3(bitIndex0)),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9652,axiom,(less_3(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_3')).
% 8.16/5.79 tff(9653,plain,
% 8.16/5.79 (less_3(bitIndex0)),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 8.16/5.79 tff(9654,plain,
% 8.16/5.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9655,plain,
% 8.16/5.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9656,plain,
% 8.16/5.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex0)) | (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9655, 9654])).
% 8.16/5.79 tff(9657,plain,
% 8.16/5.79 (v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9656, 9653, 9650])).
% 8.16/5.79 tff(9658,plain,
% 8.16/5.79 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9659,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 8.16/5.79 tff(9660,plain,
% 8.16/5.79 (~v90(constB0, bitIndex0)),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 8.16/5.79 tff(9661,plain,
% 8.16/5.79 ((~(v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))) | (~v90(constB1, bitIndex0)) | v90(constB0, bitIndex0)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9662,plain,
% 8.16/5.79 ((~(v90(constB1, bitIndex0) <=> v90(constB0, bitIndex0))) | (~v90(constB1, bitIndex0))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9661, 9660])).
% 8.16/5.79 tff(9663,plain,
% 8.16/5.79 (~v90(constB1, bitIndex0)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9662, 9657])).
% 8.16/5.79 tff(9664,plain,
% 8.16/5.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9665,plain,
% 8.16/5.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9666,plain,
% 8.16/5.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex1)) | (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9665, 9664])).
% 8.16/5.79 tff(9667,plain,
% 8.16/5.79 (v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9666, 375, 9650])).
% 8.16/5.79 tff(9668,plain,
% 8.16/5.79 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9669,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 8.16/5.79 tff(9670,plain,
% 8.16/5.79 (~v90(constB0, bitIndex1)),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9669, 9668])).
% 8.16/5.79 tff(9671,plain,
% 8.16/5.79 ((~(v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))) | (~v90(constB1, bitIndex1)) | v90(constB0, bitIndex1)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9672,plain,
% 8.16/5.79 ((~(v90(constB1, bitIndex1) <=> v90(constB0, bitIndex1))) | (~v90(constB1, bitIndex1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9671, 9670])).
% 8.16/5.79 tff(9673,plain,
% 8.16/5.79 (~v90(constB1, bitIndex1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9672, 9667])).
% 8.16/5.79 tff(9674,plain,
% 8.16/5.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9675,plain,
% 8.16/5.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | ((~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9676,plain,
% 8.16/5.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB1, B) <=> v90(constB0, B)))) | (~less_3(bitIndex2)) | (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9675, 9674])).
% 8.16/5.79 tff(9677,plain,
% 8.16/5.79 (v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9676, 648, 9650])).
% 8.16/5.79 tff(9678,plain,
% 8.16/5.79 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9679,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 8.16/5.79 tff(9680,plain,
% 8.16/5.79 (~v90(constB0, bitIndex2)),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9679, 9678])).
% 8.16/5.79 tff(9681,plain,
% 8.16/5.79 ((~(v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))) | (~v90(constB1, bitIndex2)) | v90(constB0, bitIndex2)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9682,plain,
% 8.16/5.79 ((~(v90(constB1, bitIndex2) <=> v90(constB0, bitIndex2))) | (~v90(constB1, bitIndex2))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9681, 9680])).
% 8.16/5.79 tff(9683,plain,
% 8.16/5.79 (~v90(constB1, bitIndex2)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9682, 9677])).
% 8.16/5.79 tff(9684,plain,
% 8.16/5.79 ((~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9685,plain,
% 8.16/5.79 (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9684, 9683, 9673, 9663])).
% 8.16/5.79 tff(9686,plain,
% 8.16/5.79 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9687,plain,
% 8.16/5.79 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9686, 9685])).
% 8.16/5.79 tff(9688,plain,
% 8.16/5.79 (v119(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9687, 9622])).
% 8.16/5.79 tff(9689,plain,
% 8.16/5.79 ((v119(constB1) | v120(constB1)) | (~v119(constB1))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9690,plain,
% 8.16/5.79 (v119(constB1) | v120(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9689, 9688])).
% 8.16/5.79 tff(9691,plain,
% 8.16/5.79 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1) | (~(v119(constB1) | v120(constB1)))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9692,plain,
% 8.16/5.79 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9691, 9690])).
% 8.16/5.79 tff(9693,plain,
% 8.16/5.79 (v118(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9692, 9607])).
% 8.16/5.79 tff(9694,plain,
% 8.16/5.79 ((v118(constB1) | v121(constB1)) | (~v118(constB1))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9695,plain,
% 8.16/5.79 (v118(constB1) | v121(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9694, 9693])).
% 8.16/5.79 tff(9696,plain,
% 8.16/5.79 ((~(v117(constB1) <=> (v118(constB1) | v121(constB1)))) | v117(constB1) | (~(v118(constB1) | v121(constB1)))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9697,plain,
% 8.16/5.79 (v117(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9696, 9695, 9605])).
% 8.16/5.79 tff(9698,plain,
% 8.16/5.79 ((v117(constB1) | v122(constB1)) | (~v117(constB1))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9699,plain,
% 8.16/5.79 (v117(constB1) | v122(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9698, 9697])).
% 8.16/5.79 tff(9700,plain,
% 8.16/5.79 ((~(v116(constB1) <=> (v117(constB1) | v122(constB1)))) | v116(constB1) | (~(v117(constB1) | v122(constB1)))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9701,plain,
% 8.16/5.79 (v116(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9700, 9699, 9603])).
% 8.16/5.79 tff(9702,plain,
% 8.16/5.79 ((v116(constB1) | v123(constB1)) | (~v116(constB1))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9703,plain,
% 8.16/5.79 (v116(constB1) | v123(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9702, 9701])).
% 8.16/5.79 tff(9704,plain,
% 8.16/5.79 ((~(v115(constB1) <=> (v116(constB1) | v123(constB1)))) | v115(constB1) | (~(v116(constB1) | v123(constB1)))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9705,plain,
% 8.16/5.79 (v115(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9704, 9703, 9601])).
% 8.16/5.79 tff(9706,plain,
% 8.16/5.79 ((v115(constB1) | v124(constB1)) | (~v115(constB1))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9707,plain,
% 8.16/5.79 (v115(constB1) | v124(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9706, 9705])).
% 8.16/5.79 tff(9708,plain,
% 8.16/5.79 ((~(v114(constB1) <=> (v115(constB1) | v124(constB1)))) | v114(constB1) | (~(v115(constB1) | v124(constB1)))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9709,plain,
% 8.16/5.79 (v114(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9708, 9707, 9599])).
% 8.16/5.79 tff(9710,plain,
% 8.16/5.79 ((v114(constB1) | v125(constB1)) | (~v114(constB1))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9711,plain,
% 8.16/5.79 (v114(constB1) | v125(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9710, 9709])).
% 8.16/5.79 tff(9712,plain,
% 8.16/5.79 ((~(v113(constB1) <=> (v114(constB1) | v125(constB1)))) | v113(constB1) | (~(v114(constB1) | v125(constB1)))),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9713,plain,
% 8.16/5.79 (v113(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9712, 9711, 9597])).
% 8.16/5.79 tff(9714,plain,
% 8.16/5.79 (^[VarCurr: $i] : refl(((~v126(VarCurr)) <=> v111(VarCurr)) <=> ((~v126(VarCurr)) <=> v111(VarCurr)))),
% 8.16/5.79 inference(bind,[status(th)],[])).
% 8.16/5.79 tff(9715,plain,
% 8.16/5.79 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 8.16/5.79 inference(quant_intro,[status(thm)],[9714])).
% 8.16/5.79 tff(9716,plain,
% 8.16/5.79 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9717,axiom,(![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 8.16/5.79 tff(9718,plain,
% 8.16/5.79 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9717, 9716])).
% 8.16/5.79 tff(9719,plain,(
% 8.16/5.79 ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 8.16/5.79 inference(skolemize,[status(sab)],[9718])).
% 8.16/5.79 tff(9720,plain,
% 8.16/5.79 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9719, 9715])).
% 8.16/5.79 tff(9721,plain,
% 8.16/5.79 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB1)) <=> v111(constB1))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9722,plain,
% 8.16/5.79 ((~v126(constB1)) <=> v111(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9721, 9720])).
% 8.16/5.79 tff(9723,plain,
% 8.16/5.79 (^[VarCurr: $i] : refl((v111(VarCurr) <=> v26(VarCurr)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 8.16/5.79 inference(bind,[status(th)],[])).
% 8.16/5.79 tff(9724,plain,
% 8.16/5.79 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 8.16/5.79 inference(quant_intro,[status(thm)],[9723])).
% 8.16/5.79 tff(9725,plain,
% 8.16/5.79 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9726,plain,
% 8.16/5.79 (^[VarCurr: $i] : rewrite((v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 8.16/5.79 inference(bind,[status(th)],[])).
% 8.16/5.79 tff(9727,plain,
% 8.16/5.79 (![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 8.16/5.79 inference(quant_intro,[status(thm)],[9726])).
% 8.16/5.79 tff(9728,axiom,(![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 8.16/5.79 tff(9729,plain,
% 8.16/5.79 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9728, 9727])).
% 8.16/5.79 tff(9730,plain,
% 8.16/5.79 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9729, 9725])).
% 8.16/5.79 tff(9731,plain,(
% 8.16/5.79 ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 8.16/5.79 inference(skolemize,[status(sab)],[9730])).
% 8.16/5.79 tff(9732,plain,
% 8.16/5.79 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9731, 9724])).
% 8.16/5.79 tff(9733,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB1) <=> v26(constB1))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9734,plain,
% 8.16/5.79 (v111(constB1) <=> v26(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9733, 9732])).
% 8.16/5.79 tff(9735,plain,
% 8.16/5.79 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 8.16/5.79 inference(bind,[status(th)],[])).
% 8.16/5.79 tff(9736,plain,
% 8.16/5.79 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 8.16/5.79 inference(quant_intro,[status(thm)],[9735])).
% 8.16/5.79 tff(9737,plain,
% 8.16/5.79 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 8.16/5.79 inference(rewrite,[status(thm)],[])).
% 8.16/5.79 tff(9738,plain,
% 8.16/5.79 (^[VarCurr: $i] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 8.16/5.79 inference(bind,[status(th)],[])).
% 8.16/5.79 tff(9739,plain,
% 8.16/5.79 (![VarCurr: $i] : (v26(VarCurr) <=> $false) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 8.16/5.79 inference(quant_intro,[status(thm)],[9738])).
% 8.16/5.79 tff(9740,axiom,(![VarCurr: $i] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1')).
% 8.16/5.79 tff(9741,plain,
% 8.16/5.79 (![VarCurr: $i] : (~v26(VarCurr))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9740, 9739])).
% 8.16/5.79 tff(9742,plain,
% 8.16/5.79 (![VarCurr: $i] : (~v26(VarCurr))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9741, 9737])).
% 8.16/5.79 tff(9743,plain,(
% 8.16/5.79 ![VarCurr: $i] : (~v26(VarCurr))),
% 8.16/5.79 inference(skolemize,[status(sab)],[9742])).
% 8.16/5.79 tff(9744,plain,
% 8.16/5.79 (![VarCurr: $i] : (~v26(VarCurr))),
% 8.16/5.79 inference(modus_ponens,[status(thm)],[9743, 9736])).
% 8.16/5.79 tff(9745,plain,
% 8.16/5.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 8.16/5.79 inference(quant_inst,[status(thm)],[])).
% 8.16/5.79 tff(9746,plain,
% 8.16/5.79 (~v26(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9745, 9744])).
% 8.16/5.79 tff(9747,plain,
% 8.16/5.79 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1)) | v26(constB1)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.79 tff(9748,plain,
% 8.16/5.79 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1))),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9747, 9746])).
% 8.16/5.79 tff(9749,plain,
% 8.16/5.79 (~v111(constB1)),
% 8.16/5.79 inference(unit_resolution,[status(thm)],[9748, 9734])).
% 8.16/5.79 tff(9750,plain,
% 8.16/5.79 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1) | v111(constB1)),
% 8.16/5.79 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9751,plain,
% 8.16/5.80 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9750, 9749])).
% 8.16/5.80 tff(9752,plain,
% 8.16/5.80 (v126(constB1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9751, 9722])).
% 8.16/5.80 tff(9753,plain,
% 8.16/5.80 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1)) | (~v126(constB1))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9754,plain,
% 8.16/5.80 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9753, 9752])).
% 8.16/5.80 tff(9755,plain,
% 8.16/5.80 (~((~v113(constB1)) | (~v126(constB1)))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9754, 9713])).
% 8.16/5.80 tff(9756,plain,
% 8.16/5.80 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1) | ((~v113(constB1)) | (~v126(constB1)))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9757,plain,
% 8.16/5.80 (v112(constB1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9756, 9755, 9595])).
% 8.16/5.80 tff(9758,plain,
% 8.16/5.80 ((v111(constB1) | v112(constB1)) | (~v112(constB1))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9759,plain,
% 8.16/5.80 (v111(constB1) | v112(constB1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9758, 9757])).
% 8.16/5.80 tff(9760,plain,
% 8.16/5.80 ((~(v108(constB1) <=> (v111(constB1) | v112(constB1)))) | v108(constB1) | (~(v111(constB1) | v112(constB1)))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9761,plain,
% 8.16/5.80 (v108(constB1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9760, 9759, 9593])).
% 8.16/5.80 tff(9762,plain,
% 8.16/5.80 ((~(v110(constB2) <=> v108(constB1))) | v110(constB2) | (~v108(constB1))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9763,plain,
% 8.16/5.80 (v110(constB2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9762, 9761, 9591])).
% 8.16/5.80 tff(9764,plain,
% 8.16/5.80 ((~((~v101(constB2)) | (~v110(constB2)))) | (~v101(constB2)) | (~v110(constB2))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9765,plain,
% 8.16/5.80 (~((~v101(constB2)) | (~v110(constB2)))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9764, 9763, 9587])).
% 8.16/5.80 tff(9766,plain,
% 8.16/5.80 ((~(v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))) | v100(constB2) | ((~v101(constB2)) | (~v110(constB2)))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9767,plain,
% 8.16/5.80 (v100(constB2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9766, 9765, 9556])).
% 8.16/5.80 tff(9768,plain,
% 8.16/5.80 (^[VarNext: $i] : refl(((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9769,plain,
% 8.16/5.80 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9768])).
% 8.16/5.80 tff(9770,plain,
% 8.16/5.80 (^[VarNext: $i] : rewrite(((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9771,plain,
% 8.16/5.80 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9770])).
% 8.16/5.80 tff(9772,plain,
% 8.16/5.80 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(transitivity,[status(thm)],[9771, 9769])).
% 8.16/5.80 tff(9773,plain,
% 8.16/5.80 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9774,plain,
% 8.16/5.80 (^[VarNext: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B))) <=> ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))), (![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B))) <=> ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))), ((v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B)))) <=> (v100(VarNext) => ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))))), rewrite((v100(VarNext) => ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))), ((v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9775,plain,
% 8.16/5.80 (![VarNext: $i] : (v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9774])).
% 8.16/5.80 tff(9776,axiom,(![VarNext: $i] : (v100(VarNext) => ![B: $i] : (less_3(B) => (v90(VarNext, B) <=> v129(VarNext, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0')).
% 8.16/5.80 tff(9777,plain,
% 8.16/5.80 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 8.16/5.80 tff(9778,plain,
% 8.16/5.80 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9777, 9773])).
% 8.16/5.80 tff(9779,plain,(
% 8.16/5.80 ![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(skolemize,[status(sab)],[9778])).
% 8.16/5.80 tff(9780,plain,
% 8.16/5.80 (![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9779, 9772])).
% 8.16/5.80 tff(9781,plain,
% 8.16/5.80 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B))))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9782,plain,
% 8.16/5.80 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B))))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9783,plain,
% 8.16/5.80 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9782, 9781])).
% 8.16/5.80 tff(9784,plain,
% 8.16/5.80 ((~v100(constB2)) | ![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9783, 9780])).
% 8.16/5.80 tff(9785,plain,
% 8.16/5.80 (![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9784, 9767])).
% 8.16/5.80 tff(9786,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9787,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9788,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex2)) | (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 8.16/5.80 tff(9789,plain,
% 8.16/5.80 (v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9788, 648, 9785])).
% 8.16/5.80 tff(9790,plain,
% 8.16/5.80 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9791,plain,
% 8.16/5.80 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9790])).
% 8.16/5.80 tff(9792,plain,
% 8.16/5.80 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9793,plain,
% 8.16/5.80 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9792])).
% 8.16/5.80 tff(9794,plain,
% 8.16/5.80 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(transitivity,[status(thm)],[9793, 9791])).
% 8.16/5.80 tff(9795,plain,
% 8.16/5.80 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9796,plain,
% 8.16/5.80 (^[VarCurr: $i, VarNext: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B))) <=> ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))), (![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> (nextState(VarCurr, VarNext) => ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))))), rewrite((nextState(VarCurr, VarNext) => ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9797,plain,
% 8.16/5.80 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9796])).
% 8.16/5.80 tff(9798,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v129(VarNext, B) <=> v127(VarCurr, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7')).
% 8.16/5.80 tff(9799,plain,
% 8.16/5.80 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9798, 9797])).
% 8.16/5.80 tff(9800,plain,
% 8.16/5.80 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9799, 9795])).
% 8.16/5.80 tff(9801,plain,(
% 8.16/5.80 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(skolemize,[status(sab)],[9800])).
% 8.16/5.80 tff(9802,plain,
% 8.16/5.80 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9801, 9794])).
% 8.16/5.80 tff(9803,plain,
% 8.16/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B))))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9804,plain,
% 8.16/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B))))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9805,plain,
% 8.16/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9804, 9803])).
% 8.16/5.80 tff(9806,plain,
% 8.16/5.80 (![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9805, 9552, 9802])).
% 8.16/5.80 tff(9807,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9808,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9809,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex2)) | (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9808, 9807])).
% 8.16/5.80 tff(9810,plain,
% 8.16/5.80 (v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9809, 648, 9806])).
% 8.16/5.80 tff(9811,plain,
% 8.16/5.80 (^[VarCurr: $i] : refl((v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9812,plain,
% 8.16/5.80 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9811])).
% 8.16/5.80 tff(9813,plain,
% 8.16/5.80 (^[VarCurr: $i] : rewrite((v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9814,plain,
% 8.16/5.80 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9813])).
% 8.16/5.80 tff(9815,plain,
% 8.16/5.80 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(transitivity,[status(thm)],[9814, 9812])).
% 8.16/5.80 tff(9816,plain,
% 8.16/5.80 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9817,plain,
% 8.16/5.80 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B))) <=> ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))), (![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))), (((~v111(VarCurr)) => ![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ((~v111(VarCurr)) => ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))))), rewrite(((~v111(VarCurr)) => ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))), (((~v111(VarCurr)) => ![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9818,plain,
% 8.16/5.80 (![VarCurr: $i] : ((~v111(VarCurr)) => ![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9817])).
% 8.16/5.80 tff(9819,axiom,(![VarCurr: $i] : ((~v111(VarCurr)) => ![B: $i] : (less_3(B) => (v127(VarCurr, B) <=> v130(VarCurr, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1')).
% 8.16/5.80 tff(9820,plain,
% 8.16/5.80 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9819, 9818])).
% 8.16/5.80 tff(9821,plain,
% 8.16/5.80 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9820, 9816])).
% 8.16/5.80 tff(9822,plain,(
% 8.16/5.80 ![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(skolemize,[status(sab)],[9821])).
% 8.16/5.80 tff(9823,plain,
% 8.16/5.80 (![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9822, 9815])).
% 8.16/5.80 tff(9824,plain,
% 8.16/5.80 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB1) | ![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB1) | ![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B))))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9825,plain,
% 8.16/5.80 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB1) | ![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B))))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9826,plain,
% 8.16/5.80 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB1) | ![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9825, 9824])).
% 8.16/5.80 tff(9827,plain,
% 8.16/5.80 (![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9826, 9823, 9749])).
% 8.16/5.80 tff(9828,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9829,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9830,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex2)) | (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9829, 9828])).
% 8.16/5.80 tff(9831,plain,
% 8.16/5.80 (v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9830, 648, 9827])).
% 8.16/5.80 tff(9832,plain,
% 8.16/5.80 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9833,plain,
% 8.16/5.80 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9832])).
% 8.16/5.80 tff(9834,plain,
% 8.16/5.80 (^[VarCurr: $i] : rewrite(((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9835,plain,
% 8.16/5.80 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9834])).
% 8.16/5.80 tff(9836,plain,
% 8.16/5.80 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(transitivity,[status(thm)],[9835, 9833])).
% 8.16/5.80 tff(9837,plain,
% 8.16/5.80 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9838,plain,
% 8.16/5.80 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b001(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), ((v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> (v119(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))), rewrite((v119(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), ((v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))))),
% 8.16/5.80 inference(bind,[status(th)],[])).
% 8.16/5.80 tff(9839,plain,
% 8.16/5.80 (![VarCurr: $i] : (v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(quant_intro,[status(thm)],[9838])).
% 8.16/5.80 tff(9840,axiom,(![VarCurr: $i] : (v119(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 8.16/5.80 tff(9841,plain,
% 8.16/5.80 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9840, 9839])).
% 8.16/5.80 tff(9842,plain,
% 8.16/5.80 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9841, 9837])).
% 8.16/5.80 tff(9843,plain,(
% 8.16/5.80 ![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(skolemize,[status(sab)],[9842])).
% 8.16/5.80 tff(9844,plain,
% 8.16/5.80 (![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9843, 9836])).
% 8.16/5.80 tff(9845,plain,
% 8.16/5.80 (((~![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | ((~v119(constB1)) | ![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (~v119(constB1)) | ![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B))))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9846,plain,
% 8.16/5.80 ((~![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | ((~v119(constB1)) | ![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B))))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9847,plain,
% 8.16/5.80 ((~![VarCurr: $i] : ((~v119(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (~v119(constB1)) | ![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9846, 9845])).
% 8.16/5.80 tff(9848,plain,
% 8.16/5.80 (![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9847, 9844, 9688])).
% 8.16/5.80 tff(9849,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b001(bitIndex2)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9850,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b001(bitIndex2)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9851,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB1, bitIndex2) <=> b001(bitIndex2))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 8.16/5.80 tff(9852,plain,
% 8.16/5.80 (v130(constB1, bitIndex2) <=> b001(bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9851, 648, 9848])).
% 8.16/5.80 tff(9853,plain,
% 8.16/5.80 ((~b001(bitIndex2)) <=> (~b001(bitIndex2))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9854,axiom,(~b001(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_5')).
% 8.16/5.80 tff(9855,plain,
% 8.16/5.80 (~b001(bitIndex2)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9854, 9853])).
% 8.16/5.80 tff(9856,plain,
% 8.16/5.80 ((~(v130(constB1, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB1, bitIndex2)) | b001(bitIndex2)),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9857,plain,
% 8.16/5.80 ((~(v130(constB1, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB1, bitIndex2))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9856, 9855])).
% 8.16/5.80 tff(9858,plain,
% 8.16/5.80 (~v130(constB1, bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9857, 9852])).
% 8.16/5.80 tff(9859,plain,
% 8.16/5.80 ((~(v127(constB1, bitIndex2) <=> v130(constB1, bitIndex2))) | (~v127(constB1, bitIndex2)) | v130(constB1, bitIndex2)),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9860,plain,
% 8.16/5.80 (~v127(constB1, bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9859, 9858, 9831])).
% 8.16/5.80 tff(9861,plain,
% 8.16/5.80 ((~(v129(constB2, bitIndex2) <=> v127(constB1, bitIndex2))) | (~v129(constB2, bitIndex2)) | v127(constB1, bitIndex2)),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9862,plain,
% 8.16/5.80 (~v129(constB2, bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9861, 9860, 9810])).
% 8.16/5.80 tff(9863,plain,
% 8.16/5.80 ((~(v90(constB2, bitIndex2) <=> v129(constB2, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2)),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9864,plain,
% 8.16/5.80 (~v90(constB2, bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9863, 9862, 9789])).
% 8.16/5.80 tff(9865,plain,
% 8.16/5.80 ((~(v90(constB3, bitIndex2) <=> v90(constB2, bitIndex2))) | (~v90(constB3, bitIndex2)) | v90(constB2, bitIndex2)),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9866,plain,
% 8.16/5.80 (~v90(constB3, bitIndex2)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9865, 9864, 9549])).
% 8.16/5.80 tff(9867,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9868,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9869,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9868, 9867])).
% 8.16/5.80 tff(9870,plain,
% 8.16/5.80 (v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9869, 9653, 9545])).
% 8.16/5.80 tff(9871,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9872,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9873,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex0)) | (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9872, 9871])).
% 8.16/5.80 tff(9874,plain,
% 8.16/5.80 (v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9873, 9653, 9785])).
% 8.16/5.80 tff(9875,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9876,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9877,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex0)) | (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9876, 9875])).
% 8.16/5.80 tff(9878,plain,
% 8.16/5.80 (v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9877, 9653, 9806])).
% 8.16/5.80 tff(9879,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9880,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9881,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex0)) | (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9880, 9879])).
% 8.16/5.80 tff(9882,plain,
% 8.16/5.80 (v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9881, 9653, 9827])).
% 8.16/5.80 tff(9883,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b001(bitIndex0)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9884,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b001(bitIndex0)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9885,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB1, bitIndex0) <=> b001(bitIndex0))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9884, 9883])).
% 8.16/5.80 tff(9886,plain,
% 8.16/5.80 (v130(constB1, bitIndex0) <=> b001(bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9885, 9653, 9848])).
% 8.16/5.80 tff(9887,plain,
% 8.16/5.80 (b001(bitIndex0) <=> b001(bitIndex0)),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9888,axiom,(b001(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_3')).
% 8.16/5.80 tff(9889,plain,
% 8.16/5.80 (b001(bitIndex0)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9888, 9887])).
% 8.16/5.80 tff(9890,plain,
% 8.16/5.80 ((~(v130(constB1, bitIndex0) <=> b001(bitIndex0))) | v130(constB1, bitIndex0) | (~b001(bitIndex0))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9891,plain,
% 8.16/5.80 ((~(v130(constB1, bitIndex0) <=> b001(bitIndex0))) | v130(constB1, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9890, 9889])).
% 8.16/5.80 tff(9892,plain,
% 8.16/5.80 (v130(constB1, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9891, 9886])).
% 8.16/5.80 tff(9893,plain,
% 8.16/5.80 ((~(v127(constB1, bitIndex0) <=> v130(constB1, bitIndex0))) | v127(constB1, bitIndex0) | (~v130(constB1, bitIndex0))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9894,plain,
% 8.16/5.80 (v127(constB1, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9893, 9892, 9882])).
% 8.16/5.80 tff(9895,plain,
% 8.16/5.80 ((~(v129(constB2, bitIndex0) <=> v127(constB1, bitIndex0))) | v129(constB2, bitIndex0) | (~v127(constB1, bitIndex0))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9896,plain,
% 8.16/5.80 (v129(constB2, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9895, 9894, 9878])).
% 8.16/5.80 tff(9897,plain,
% 8.16/5.80 ((~(v90(constB2, bitIndex0) <=> v129(constB2, bitIndex0))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9898,plain,
% 8.16/5.80 (v90(constB2, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9897, 9896, 9874])).
% 8.16/5.80 tff(9899,plain,
% 8.16/5.80 ((~(v90(constB3, bitIndex0) <=> v90(constB2, bitIndex0))) | v90(constB3, bitIndex0) | (~v90(constB2, bitIndex0))),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9900,plain,
% 8.16/5.80 (v90(constB3, bitIndex0)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9899, 9898, 9870])).
% 8.16/5.80 tff(9901,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9902,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9903,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB3, B) <=> v90(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9902, 9901])).
% 8.16/5.80 tff(9904,plain,
% 8.16/5.80 (v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9903, 375, 9545])).
% 8.16/5.80 tff(9905,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9906,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | ((~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9907,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB2, B) <=> v129(constB2, B)))) | (~less_3(bitIndex1)) | (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9906, 9905])).
% 8.16/5.80 tff(9908,plain,
% 8.16/5.80 (v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9907, 375, 9785])).
% 8.16/5.80 tff(9909,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9910,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | ((~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9911,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB2, B) <=> v127(constB1, B)))) | (~less_3(bitIndex1)) | (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9910, 9909])).
% 8.16/5.80 tff(9912,plain,
% 8.16/5.80 (v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9911, 375, 9806])).
% 8.16/5.80 tff(9913,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9914,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | ((~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9915,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB1, B) <=> v130(constB1, B)))) | (~less_3(bitIndex1)) | (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9914, 9913])).
% 8.16/5.80 tff(9916,plain,
% 8.16/5.80 (v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9915, 375, 9827])).
% 8.16/5.80 tff(9917,plain,
% 8.16/5.80 (((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b001(bitIndex1)))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9918,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b001(bitIndex1)))),
% 8.16/5.80 inference(quant_inst,[status(thm)],[])).
% 8.16/5.80 tff(9919,plain,
% 8.16/5.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB1, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB1, bitIndex1) <=> b001(bitIndex1))),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9918, 9917])).
% 8.16/5.80 tff(9920,plain,
% 8.16/5.80 (v130(constB1, bitIndex1) <=> b001(bitIndex1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9919, 375, 9848])).
% 8.16/5.80 tff(9921,plain,
% 8.16/5.80 ((~b001(bitIndex1)) <=> (~b001(bitIndex1))),
% 8.16/5.80 inference(rewrite,[status(thm)],[])).
% 8.16/5.80 tff(9922,axiom,(~b001(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_4')).
% 8.16/5.80 tff(9923,plain,
% 8.16/5.80 (~b001(bitIndex1)),
% 8.16/5.80 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 8.16/5.80 tff(9924,plain,
% 8.16/5.80 ((~(v130(constB1, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB1, bitIndex1)) | b001(bitIndex1)),
% 8.16/5.80 inference(tautology,[status(thm)],[])).
% 8.16/5.80 tff(9925,plain,
% 8.16/5.80 ((~(v130(constB1, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB1, bitIndex1))),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9924, 9923])).
% 8.16/5.80 tff(9926,plain,
% 8.16/5.80 (~v130(constB1, bitIndex1)),
% 8.16/5.80 inference(unit_resolution,[status(thm)],[9925, 9920])).
% 8.16/5.80 tff(9927,plain,
% 8.16/5.80 ((~(v127(constB1, bitIndex1) <=> v130(constB1, bitIndex1))) | (~v127(constB1, bitIndex1)) | v130(constB1, bitIndex1)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9928,plain,
% 8.16/5.81 (~v127(constB1, bitIndex1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9927, 9926, 9916])).
% 8.16/5.81 tff(9929,plain,
% 8.16/5.81 ((~(v129(constB2, bitIndex1) <=> v127(constB1, bitIndex1))) | (~v129(constB2, bitIndex1)) | v127(constB1, bitIndex1)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9930,plain,
% 8.16/5.81 (~v129(constB2, bitIndex1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9929, 9928, 9912])).
% 8.16/5.81 tff(9931,plain,
% 8.16/5.81 ((~(v90(constB2, bitIndex1) <=> v129(constB2, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9932,plain,
% 8.16/5.81 (~v90(constB2, bitIndex1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9931, 9930, 9908])).
% 8.16/5.81 tff(9933,plain,
% 8.16/5.81 ((~(v90(constB3, bitIndex1) <=> v90(constB2, bitIndex1))) | (~v90(constB3, bitIndex1)) | v90(constB2, bitIndex1)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9934,plain,
% 8.16/5.81 (~v90(constB3, bitIndex1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9933, 9932, 9904])).
% 8.16/5.81 tff(9935,plain,
% 8.16/5.81 ((~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))) | v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9936,plain,
% 8.16/5.81 (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9935, 9934, 9900, 9866])).
% 8.16/5.81 tff(9937,plain,
% 8.16/5.81 ((~(v120(constB3) <=> (~(v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))))) | v120(constB3) | (v90(constB3, bitIndex2) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex0)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9938,plain,
% 8.16/5.81 (v120(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9937, 9936, 9517])).
% 8.16/5.81 tff(9939,plain,
% 8.16/5.81 ((v119(constB3) | v120(constB3)) | (~v120(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9940,plain,
% 8.16/5.81 (v119(constB3) | v120(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9939, 9938])).
% 8.16/5.81 tff(9941,plain,
% 8.16/5.81 ((~(v118(constB3) <=> (v119(constB3) | v120(constB3)))) | v118(constB3) | (~(v119(constB3) | v120(constB3)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9942,plain,
% 8.16/5.81 (v118(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9941, 9940, 9510])).
% 8.16/5.81 tff(9943,plain,
% 8.16/5.81 ((v118(constB3) | v121(constB3)) | (~v118(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9944,plain,
% 8.16/5.81 (v118(constB3) | v121(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9943, 9942])).
% 8.16/5.81 tff(9945,plain,
% 8.16/5.81 ((~(v117(constB3) <=> (v118(constB3) | v121(constB3)))) | v117(constB3) | (~(v118(constB3) | v121(constB3)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9946,plain,
% 8.16/5.81 (v117(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9945, 9944, 9508])).
% 8.16/5.81 tff(9947,plain,
% 8.16/5.81 ((v117(constB3) | v122(constB3)) | (~v117(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9948,plain,
% 8.16/5.81 (v117(constB3) | v122(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9947, 9946])).
% 8.16/5.81 tff(9949,plain,
% 8.16/5.81 ((~(v116(constB3) <=> (v117(constB3) | v122(constB3)))) | v116(constB3) | (~(v117(constB3) | v122(constB3)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9950,plain,
% 8.16/5.81 (v116(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9949, 9948, 9506])).
% 8.16/5.81 tff(9951,plain,
% 8.16/5.81 ((v116(constB3) | v123(constB3)) | (~v116(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9952,plain,
% 8.16/5.81 (v116(constB3) | v123(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9951, 9950])).
% 8.16/5.81 tff(9953,plain,
% 8.16/5.81 ((~(v115(constB3) <=> (v116(constB3) | v123(constB3)))) | v115(constB3) | (~(v116(constB3) | v123(constB3)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9954,plain,
% 8.16/5.81 (v115(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9953, 9952, 9504])).
% 8.16/5.81 tff(9955,plain,
% 8.16/5.81 ((v115(constB3) | v124(constB3)) | (~v115(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9956,plain,
% 8.16/5.81 (v115(constB3) | v124(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9955, 9954])).
% 8.16/5.81 tff(9957,plain,
% 8.16/5.81 ((~(v114(constB3) <=> (v115(constB3) | v124(constB3)))) | v114(constB3) | (~(v115(constB3) | v124(constB3)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9958,plain,
% 8.16/5.81 (v114(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9957, 9956, 9502])).
% 8.16/5.81 tff(9959,plain,
% 8.16/5.81 ((v114(constB3) | v125(constB3)) | (~v114(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9960,plain,
% 8.16/5.81 (v114(constB3) | v125(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9959, 9958])).
% 8.16/5.81 tff(9961,plain,
% 8.16/5.81 ((~(v113(constB3) <=> (v114(constB3) | v125(constB3)))) | v113(constB3) | (~(v114(constB3) | v125(constB3)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9962,plain,
% 8.16/5.81 (v113(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9961, 9960, 9500])).
% 8.16/5.81 tff(9963,plain,
% 8.16/5.81 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB3)) <=> v111(constB3))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9964,plain,
% 8.16/5.81 ((~v126(constB3)) <=> v111(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9963, 9720])).
% 8.16/5.81 tff(9965,plain,
% 8.16/5.81 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB3) <=> v26(constB3))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9966,plain,
% 8.16/5.81 (v111(constB3) <=> v26(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9965, 9732])).
% 8.16/5.81 tff(9967,plain,
% 8.16/5.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9968,plain,
% 8.16/5.81 (~v26(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9967, 9744])).
% 8.16/5.81 tff(9969,plain,
% 8.16/5.81 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3)) | v26(constB3)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9970,plain,
% 8.16/5.81 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9969, 9968])).
% 8.16/5.81 tff(9971,plain,
% 8.16/5.81 (~v111(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9970, 9966])).
% 8.16/5.81 tff(9972,plain,
% 8.16/5.81 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3) | v111(constB3)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9973,plain,
% 8.16/5.81 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9972, 9971])).
% 8.16/5.81 tff(9974,plain,
% 8.16/5.81 (v126(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9973, 9964])).
% 8.16/5.81 tff(9975,plain,
% 8.16/5.81 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3)) | (~v126(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9976,plain,
% 8.16/5.81 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9975, 9974])).
% 8.16/5.81 tff(9977,plain,
% 8.16/5.81 (~((~v113(constB3)) | (~v126(constB3)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9976, 9962])).
% 8.16/5.81 tff(9978,plain,
% 8.16/5.81 ((~(v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))) | v112(constB3) | ((~v113(constB3)) | (~v126(constB3)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9979,plain,
% 8.16/5.81 (v112(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9978, 9977, 9498])).
% 8.16/5.81 tff(9980,plain,
% 8.16/5.81 ((v111(constB3) | v112(constB3)) | (~v112(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9981,plain,
% 8.16/5.81 (v111(constB3) | v112(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9980, 9979])).
% 8.16/5.81 tff(9982,plain,
% 8.16/5.81 ((~(v108(constB3) <=> (v111(constB3) | v112(constB3)))) | v108(constB3) | (~(v111(constB3) | v112(constB3)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9983,plain,
% 8.16/5.81 (v108(constB3)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9982, 9981, 9496])).
% 8.16/5.81 tff(9984,plain,
% 8.16/5.81 ((~(v110(constB4) <=> v108(constB3))) | v110(constB4) | (~v108(constB3))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9985,plain,
% 8.16/5.81 (v110(constB4)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9984, 9983, 9494])).
% 8.16/5.81 tff(9986,plain,
% 8.16/5.81 ((~((~v101(constB4)) | (~v110(constB4)))) | (~v101(constB4)) | (~v110(constB4))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9987,plain,
% 8.16/5.81 (~((~v101(constB4)) | (~v110(constB4)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9986, 9985, 9490])).
% 8.16/5.81 tff(9988,plain,
% 8.16/5.81 ((~(v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))) | v100(constB4) | ((~v101(constB4)) | (~v110(constB4)))),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(9989,plain,
% 8.16/5.81 (v100(constB4)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9988, 9987, 9459])).
% 8.16/5.81 tff(9990,plain,
% 8.16/5.81 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B))))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9991,plain,
% 8.16/5.81 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B))))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9992,plain,
% 8.16/5.81 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9991, 9990])).
% 8.16/5.81 tff(9993,plain,
% 8.16/5.81 ((~v100(constB4)) | ![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9992, 9780])).
% 8.16/5.81 tff(9994,plain,
% 8.16/5.81 (![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9993, 9989])).
% 8.16/5.81 tff(9995,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(9996,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(9997,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex2)) | (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[9996, 9995])).
% 8.16/5.81 tff(9998,plain,
% 8.16/5.81 (v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[9997, 648, 9994])).
% 8.16/5.81 tff(9999,plain,
% 8.16/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B))))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10000,plain,
% 8.16/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B))))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10001,plain,
% 8.16/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10000, 9999])).
% 8.16/5.81 tff(10002,plain,
% 8.16/5.81 (![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10001, 9455, 9802])).
% 8.16/5.81 tff(10003,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10004,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10005,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex2)) | (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 8.16/5.81 tff(10006,plain,
% 8.16/5.81 (v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10005, 648, 10002])).
% 8.16/5.81 tff(10007,plain,
% 8.16/5.81 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB3) | ![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB3) | ![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B))))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10008,plain,
% 8.16/5.81 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB3) | ![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B))))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10009,plain,
% 8.16/5.81 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB3) | ![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10008, 10007])).
% 8.16/5.81 tff(10010,plain,
% 8.16/5.81 (![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10009, 9823, 9971])).
% 8.16/5.81 tff(10011,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10012,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10013,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex2)) | (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10012, 10011])).
% 8.16/5.81 tff(10014,plain,
% 8.16/5.81 (v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10013, 648, 10010])).
% 8.16/5.81 tff(10015,plain,
% 8.16/5.81 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))))),
% 8.16/5.81 inference(bind,[status(th)],[])).
% 8.16/5.81 tff(10016,plain,
% 8.16/5.81 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(quant_intro,[status(thm)],[10015])).
% 8.16/5.81 tff(10017,plain,
% 8.16/5.81 (^[VarCurr: $i] : rewrite(((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))))),
% 8.16/5.81 inference(bind,[status(th)],[])).
% 8.16/5.81 tff(10018,plain,
% 8.16/5.81 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(quant_intro,[status(thm)],[10017])).
% 8.16/5.81 tff(10019,plain,
% 8.16/5.81 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(transitivity,[status(thm)],[10018, 10016])).
% 8.16/5.81 tff(10020,plain,
% 8.16/5.81 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10021,plain,
% 8.16/5.81 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b010(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))), ((v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B)))) <=> (v120(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))))), rewrite((v120(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B)))) <=> ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))), ((v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B)))) <=> ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))))),
% 8.16/5.81 inference(bind,[status(th)],[])).
% 8.16/5.81 tff(10022,plain,
% 8.16/5.81 (![VarCurr: $i] : (v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(quant_intro,[status(thm)],[10021])).
% 8.16/5.81 tff(10023,axiom,(![VarCurr: $i] : (v120(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b010(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1')).
% 8.16/5.81 tff(10024,plain,
% 8.16/5.81 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 8.16/5.81 tff(10025,plain,
% 8.16/5.81 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10024, 10020])).
% 8.16/5.81 tff(10026,plain,(
% 8.16/5.81 ![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(skolemize,[status(sab)],[10025])).
% 8.16/5.81 tff(10027,plain,
% 8.16/5.81 (![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10026, 10019])).
% 8.16/5.81 tff(10028,plain,
% 8.16/5.81 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B))))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10029,plain,
% 8.16/5.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B))))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10030,plain,
% 8.16/5.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 8.16/5.81 tff(10031,plain,
% 8.16/5.81 ((~v120(constB3)) | ![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10030, 10027])).
% 8.16/5.81 tff(10032,plain,
% 8.16/5.81 (![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10031, 9938])).
% 8.16/5.81 tff(10033,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b010(bitIndex2)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10034,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b010(bitIndex2)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10035,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB3, bitIndex2) <=> b010(bitIndex2))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10034, 10033])).
% 8.16/5.81 tff(10036,plain,
% 8.16/5.81 (v130(constB3, bitIndex2) <=> b010(bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10035, 648, 10032])).
% 8.16/5.81 tff(10037,plain,
% 8.16/5.81 ((~b010(bitIndex2)) <=> (~b010(bitIndex2))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10038,axiom,(~b010(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_8')).
% 8.16/5.81 tff(10039,plain,
% 8.16/5.81 (~b010(bitIndex2)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10038, 10037])).
% 8.16/5.81 tff(10040,plain,
% 8.16/5.81 ((~(v130(constB3, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB3, bitIndex2)) | b010(bitIndex2)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10041,plain,
% 8.16/5.81 ((~(v130(constB3, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB3, bitIndex2))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10040, 10039])).
% 8.16/5.81 tff(10042,plain,
% 8.16/5.81 (~v130(constB3, bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10041, 10036])).
% 8.16/5.81 tff(10043,plain,
% 8.16/5.81 ((~(v127(constB3, bitIndex2) <=> v130(constB3, bitIndex2))) | (~v127(constB3, bitIndex2)) | v130(constB3, bitIndex2)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10044,plain,
% 8.16/5.81 (~v127(constB3, bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10043, 10042, 10014])).
% 8.16/5.81 tff(10045,plain,
% 8.16/5.81 ((~(v129(constB4, bitIndex2) <=> v127(constB3, bitIndex2))) | (~v129(constB4, bitIndex2)) | v127(constB3, bitIndex2)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10046,plain,
% 8.16/5.81 (~v129(constB4, bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10045, 10044, 10006])).
% 8.16/5.81 tff(10047,plain,
% 8.16/5.81 ((~(v90(constB4, bitIndex2) <=> v129(constB4, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10048,plain,
% 8.16/5.81 (~v90(constB4, bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10047, 10046, 9998])).
% 8.16/5.81 tff(10049,plain,
% 8.16/5.81 ((~(v90(constB5, bitIndex2) <=> v90(constB4, bitIndex2))) | (~v90(constB5, bitIndex2)) | v90(constB4, bitIndex2)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10050,plain,
% 8.16/5.81 (~v90(constB5, bitIndex2)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10049, 10048, 9452])).
% 8.16/5.81 tff(10051,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10052,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10053,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10052, 10051])).
% 8.16/5.81 tff(10054,plain,
% 8.16/5.81 (v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10053, 9653, 9448])).
% 8.16/5.81 tff(10055,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10056,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10057,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex0)) | (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 8.16/5.81 tff(10058,plain,
% 8.16/5.81 (v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10057, 9653, 9994])).
% 8.16/5.81 tff(10059,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10060,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10061,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex0)) | (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10060, 10059])).
% 8.16/5.81 tff(10062,plain,
% 8.16/5.81 (v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10061, 9653, 10002])).
% 8.16/5.81 tff(10063,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10064,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10065,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex0)) | (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10064, 10063])).
% 8.16/5.81 tff(10066,plain,
% 8.16/5.81 (v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10065, 9653, 10010])).
% 8.16/5.81 tff(10067,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b010(bitIndex0)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10068,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b010(bitIndex0)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10069,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB3, bitIndex0) <=> b010(bitIndex0))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10068, 10067])).
% 8.16/5.81 tff(10070,plain,
% 8.16/5.81 (v130(constB3, bitIndex0) <=> b010(bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10069, 9653, 10032])).
% 8.16/5.81 tff(10071,plain,
% 8.16/5.81 ((~b010(bitIndex0)) <=> (~b010(bitIndex0))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10072,axiom,(~b010(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_6')).
% 8.16/5.81 tff(10073,plain,
% 8.16/5.81 (~b010(bitIndex0)),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10072, 10071])).
% 8.16/5.81 tff(10074,plain,
% 8.16/5.81 ((~(v130(constB3, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB3, bitIndex0)) | b010(bitIndex0)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10075,plain,
% 8.16/5.81 ((~(v130(constB3, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB3, bitIndex0))),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10074, 10073])).
% 8.16/5.81 tff(10076,plain,
% 8.16/5.81 (~v130(constB3, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10075, 10070])).
% 8.16/5.81 tff(10077,plain,
% 8.16/5.81 ((~(v127(constB3, bitIndex0) <=> v130(constB3, bitIndex0))) | (~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10078,plain,
% 8.16/5.81 (~v127(constB3, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10077, 10076, 10066])).
% 8.16/5.81 tff(10079,plain,
% 8.16/5.81 ((~(v129(constB4, bitIndex0) <=> v127(constB3, bitIndex0))) | (~v129(constB4, bitIndex0)) | v127(constB3, bitIndex0)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10080,plain,
% 8.16/5.81 (~v129(constB4, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10079, 10078, 10062])).
% 8.16/5.81 tff(10081,plain,
% 8.16/5.81 ((~(v90(constB4, bitIndex0) <=> v129(constB4, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10082,plain,
% 8.16/5.81 (~v90(constB4, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10081, 10080, 10058])).
% 8.16/5.81 tff(10083,plain,
% 8.16/5.81 ((~(v90(constB5, bitIndex0) <=> v90(constB4, bitIndex0))) | (~v90(constB5, bitIndex0)) | v90(constB4, bitIndex0)),
% 8.16/5.81 inference(tautology,[status(thm)],[])).
% 8.16/5.81 tff(10084,plain,
% 8.16/5.81 (~v90(constB5, bitIndex0)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10083, 10082, 10054])).
% 8.16/5.81 tff(10085,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10086,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10087,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB5, B) <=> v90(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10086, 10085])).
% 8.16/5.81 tff(10088,plain,
% 8.16/5.81 (v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10087, 375, 9448])).
% 8.16/5.81 tff(10089,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10090,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | ((~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10091,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v90(constB4, B) <=> v129(constB4, B)))) | (~less_3(bitIndex1)) | (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10090, 10089])).
% 8.16/5.81 tff(10092,plain,
% 8.16/5.81 (v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10091, 375, 9994])).
% 8.16/5.81 tff(10093,plain,
% 8.16/5.81 (((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)))),
% 8.16/5.81 inference(rewrite,[status(thm)],[])).
% 8.16/5.81 tff(10094,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | ((~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)))),
% 8.16/5.81 inference(quant_inst,[status(thm)],[])).
% 8.16/5.81 tff(10095,plain,
% 8.16/5.81 ((~![B: $i] : ((~less_3(B)) | (v129(constB4, B) <=> v127(constB3, B)))) | (~less_3(bitIndex1)) | (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1))),
% 8.16/5.81 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 8.16/5.81 tff(10096,plain,
% 8.16/5.81 (v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1)),
% 8.16/5.81 inference(unit_resolution,[status(thm)],[10095, 375, 10002])).
% 8.16/5.82 tff(10097,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10098,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | ((~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10099,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB3, B) <=> v130(constB3, B)))) | (~less_3(bitIndex1)) | (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10098, 10097])).
% 8.16/5.82 tff(10100,plain,
% 8.16/5.82 (v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10099, 375, 10010])).
% 8.16/5.82 tff(10101,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b010(bitIndex1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10102,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b010(bitIndex1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10103,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB3, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB3, bitIndex1) <=> b010(bitIndex1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10102, 10101])).
% 8.16/5.82 tff(10104,plain,
% 8.16/5.82 (v130(constB3, bitIndex1) <=> b010(bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10103, 375, 10032])).
% 8.16/5.82 tff(10105,plain,
% 8.16/5.82 (b010(bitIndex1) <=> b010(bitIndex1)),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10106,axiom,(b010(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_7')).
% 8.16/5.82 tff(10107,plain,
% 8.16/5.82 (b010(bitIndex1)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10106, 10105])).
% 8.16/5.82 tff(10108,plain,
% 8.16/5.82 ((~(v130(constB3, bitIndex1) <=> b010(bitIndex1))) | v130(constB3, bitIndex1) | (~b010(bitIndex1))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10109,plain,
% 8.16/5.82 ((~(v130(constB3, bitIndex1) <=> b010(bitIndex1))) | v130(constB3, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10108, 10107])).
% 8.16/5.82 tff(10110,plain,
% 8.16/5.82 (v130(constB3, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10109, 10104])).
% 8.16/5.82 tff(10111,plain,
% 8.16/5.82 ((~(v127(constB3, bitIndex1) <=> v130(constB3, bitIndex1))) | v127(constB3, bitIndex1) | (~v130(constB3, bitIndex1))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10112,plain,
% 8.16/5.82 (v127(constB3, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10111, 10110, 10100])).
% 8.16/5.82 tff(10113,plain,
% 8.16/5.82 ((~(v129(constB4, bitIndex1) <=> v127(constB3, bitIndex1))) | v129(constB4, bitIndex1) | (~v127(constB3, bitIndex1))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10114,plain,
% 8.16/5.82 (v129(constB4, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10113, 10112, 10096])).
% 8.16/5.82 tff(10115,plain,
% 8.16/5.82 ((~(v90(constB4, bitIndex1) <=> v129(constB4, bitIndex1))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10116,plain,
% 8.16/5.82 (v90(constB4, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10115, 10114, 10092])).
% 8.16/5.82 tff(10117,plain,
% 8.16/5.82 ((~(v90(constB5, bitIndex1) <=> v90(constB4, bitIndex1))) | v90(constB5, bitIndex1) | (~v90(constB4, bitIndex1))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10118,plain,
% 8.16/5.82 (v90(constB5, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10117, 10116, 10088])).
% 8.16/5.82 tff(10119,plain,
% 8.16/5.82 ((~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0)),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10120,plain,
% 8.16/5.82 (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10119, 10118, 10084, 10050])).
% 8.16/5.82 tff(10121,plain,
% 8.16/5.82 ((~(v121(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))))) | v121(constB5) | (v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex0))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10122,plain,
% 8.16/5.82 (v121(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10121, 10120, 9420])).
% 8.16/5.82 tff(10123,plain,
% 8.16/5.82 ((v118(constB5) | v121(constB5)) | (~v121(constB5))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10124,plain,
% 8.16/5.82 (v118(constB5) | v121(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10123, 10122])).
% 8.16/5.82 tff(10125,plain,
% 8.16/5.82 ((~(v117(constB5) <=> (v118(constB5) | v121(constB5)))) | v117(constB5) | (~(v118(constB5) | v121(constB5)))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10126,plain,
% 8.16/5.82 (v117(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10125, 10124, 9413])).
% 8.16/5.82 tff(10127,plain,
% 8.16/5.82 ((v117(constB5) | v122(constB5)) | (~v117(constB5))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10128,plain,
% 8.16/5.82 (v117(constB5) | v122(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10127, 10126])).
% 8.16/5.82 tff(10129,plain,
% 8.16/5.82 ((~(v116(constB5) <=> (v117(constB5) | v122(constB5)))) | v116(constB5) | (~(v117(constB5) | v122(constB5)))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10130,plain,
% 8.16/5.82 (v116(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10129, 10128, 9411])).
% 8.16/5.82 tff(10131,plain,
% 8.16/5.82 ((v116(constB5) | v123(constB5)) | (~v116(constB5))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10132,plain,
% 8.16/5.82 (v116(constB5) | v123(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10131, 10130])).
% 8.16/5.82 tff(10133,plain,
% 8.16/5.82 ((~(v115(constB5) <=> (v116(constB5) | v123(constB5)))) | v115(constB5) | (~(v116(constB5) | v123(constB5)))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10134,plain,
% 8.16/5.82 (v115(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10133, 10132, 9409])).
% 8.16/5.82 tff(10135,plain,
% 8.16/5.82 ((v115(constB5) | v124(constB5)) | (~v115(constB5))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10136,plain,
% 8.16/5.82 (v115(constB5) | v124(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10135, 10134])).
% 8.16/5.82 tff(10137,plain,
% 8.16/5.82 ((~(v114(constB5) <=> (v115(constB5) | v124(constB5)))) | v114(constB5) | (~(v115(constB5) | v124(constB5)))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10138,plain,
% 8.16/5.82 (v114(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10137, 10136, 9407])).
% 8.16/5.82 tff(10139,plain,
% 8.16/5.82 ((v114(constB5) | v125(constB5)) | (~v114(constB5))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10140,plain,
% 8.16/5.82 (v114(constB5) | v125(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10139, 10138])).
% 8.16/5.82 tff(10141,plain,
% 8.16/5.82 ((~(v113(constB5) <=> (v114(constB5) | v125(constB5)))) | v113(constB5) | (~(v114(constB5) | v125(constB5)))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10142,plain,
% 8.16/5.82 (v113(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10141, 10140, 9405])).
% 8.16/5.82 tff(10143,plain,
% 8.16/5.82 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB5)) <=> v111(constB5))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10144,plain,
% 8.16/5.82 ((~v126(constB5)) <=> v111(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10143, 9720])).
% 8.16/5.82 tff(10145,plain,
% 8.16/5.82 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB5) <=> v26(constB5))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10146,plain,
% 8.16/5.82 (v111(constB5) <=> v26(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10145, 9732])).
% 8.16/5.82 tff(10147,plain,
% 8.16/5.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10148,plain,
% 8.16/5.82 (~v26(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10147, 9744])).
% 8.16/5.82 tff(10149,plain,
% 8.16/5.82 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5)) | v26(constB5)),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10150,plain,
% 8.16/5.82 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10149, 10148])).
% 8.16/5.82 tff(10151,plain,
% 8.16/5.82 (~v111(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10150, 10146])).
% 8.16/5.82 tff(10152,plain,
% 8.16/5.82 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5) | v111(constB5)),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10153,plain,
% 8.16/5.82 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10152, 10151])).
% 8.16/5.82 tff(10154,plain,
% 8.16/5.82 (v126(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10153, 10144])).
% 8.16/5.82 tff(10155,plain,
% 8.16/5.82 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5)) | (~v126(constB5))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10156,plain,
% 8.16/5.82 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10155, 10154])).
% 8.16/5.82 tff(10157,plain,
% 8.16/5.82 (~((~v113(constB5)) | (~v126(constB5)))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10156, 10142])).
% 8.16/5.82 tff(10158,plain,
% 8.16/5.82 ((~(v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))) | v112(constB5) | ((~v113(constB5)) | (~v126(constB5)))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10159,plain,
% 8.16/5.82 (v112(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10158, 10157, 9403])).
% 8.16/5.82 tff(10160,plain,
% 8.16/5.82 ((v111(constB5) | v112(constB5)) | (~v112(constB5))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10161,plain,
% 8.16/5.82 (v111(constB5) | v112(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10160, 10159])).
% 8.16/5.82 tff(10162,plain,
% 8.16/5.82 ((~(v108(constB5) <=> (v111(constB5) | v112(constB5)))) | v108(constB5) | (~(v111(constB5) | v112(constB5)))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10163,plain,
% 8.16/5.82 (v108(constB5)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10162, 10161, 9401])).
% 8.16/5.82 tff(10164,plain,
% 8.16/5.82 ((~(v110(constB6) <=> v108(constB5))) | v110(constB6) | (~v108(constB5))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10165,plain,
% 8.16/5.82 (v110(constB6)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10164, 10163, 9399])).
% 8.16/5.82 tff(10166,plain,
% 8.16/5.82 ((~((~v101(constB6)) | (~v110(constB6)))) | (~v101(constB6)) | (~v110(constB6))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10167,plain,
% 8.16/5.82 (~((~v101(constB6)) | (~v110(constB6)))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10166, 10165, 9395])).
% 8.16/5.82 tff(10168,plain,
% 8.16/5.82 ((~(v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))) | v100(constB6) | ((~v101(constB6)) | (~v110(constB6)))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10169,plain,
% 8.16/5.82 (v100(constB6)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10168, 10167, 9364])).
% 8.16/5.82 tff(10170,plain,
% 8.16/5.82 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B))))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10171,plain,
% 8.16/5.82 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B))))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10172,plain,
% 8.16/5.82 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10171, 10170])).
% 8.16/5.82 tff(10173,plain,
% 8.16/5.82 ((~v100(constB6)) | ![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10172, 9780])).
% 8.16/5.82 tff(10174,plain,
% 8.16/5.82 (![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10173, 10169])).
% 8.16/5.82 tff(10175,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10176,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10177,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex2)) | (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 8.16/5.82 tff(10178,plain,
% 8.16/5.82 (v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10177, 648, 10174])).
% 8.16/5.82 tff(10179,plain,
% 8.16/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B))))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10180,plain,
% 8.16/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B))))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10181,plain,
% 8.16/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10180, 10179])).
% 8.16/5.82 tff(10182,plain,
% 8.16/5.82 (![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10181, 9360, 9802])).
% 8.16/5.82 tff(10183,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10184,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10185,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex2)) | (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 8.16/5.82 tff(10186,plain,
% 8.16/5.82 (v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10185, 648, 10182])).
% 8.16/5.82 tff(10187,plain,
% 8.16/5.82 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB5) | ![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB5) | ![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B))))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10188,plain,
% 8.16/5.82 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB5) | ![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B))))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10189,plain,
% 8.16/5.82 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB5) | ![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 8.16/5.82 tff(10190,plain,
% 8.16/5.82 (![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10189, 9823, 10151])).
% 8.16/5.82 tff(10191,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10192,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10193,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex2)) | (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10192, 10191])).
% 8.16/5.82 tff(10194,plain,
% 8.16/5.82 (v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10193, 648, 10190])).
% 8.16/5.82 tff(10195,plain,
% 8.16/5.82 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))))),
% 8.16/5.82 inference(bind,[status(th)],[])).
% 8.16/5.82 tff(10196,plain,
% 8.16/5.82 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(quant_intro,[status(thm)],[10195])).
% 8.16/5.82 tff(10197,plain,
% 8.16/5.82 (^[VarCurr: $i] : rewrite(((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))))),
% 8.16/5.82 inference(bind,[status(th)],[])).
% 8.16/5.82 tff(10198,plain,
% 8.16/5.82 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(quant_intro,[status(thm)],[10197])).
% 8.16/5.82 tff(10199,plain,
% 8.16/5.82 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(transitivity,[status(thm)],[10198, 10196])).
% 8.16/5.82 tff(10200,plain,
% 8.16/5.82 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10201,plain,
% 8.16/5.82 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b011(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))), ((v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B)))) <=> (v121(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))))), rewrite((v121(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B)))) <=> ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))), ((v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B)))) <=> ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))))),
% 8.16/5.82 inference(bind,[status(th)],[])).
% 8.16/5.82 tff(10202,plain,
% 8.16/5.82 (![VarCurr: $i] : (v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(quant_intro,[status(thm)],[10201])).
% 8.16/5.82 tff(10203,axiom,(![VarCurr: $i] : (v121(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b011(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2')).
% 8.16/5.82 tff(10204,plain,
% 8.16/5.82 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10203, 10202])).
% 8.16/5.82 tff(10205,plain,
% 8.16/5.82 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10204, 10200])).
% 8.16/5.82 tff(10206,plain,(
% 8.16/5.82 ![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(skolemize,[status(sab)],[10205])).
% 8.16/5.82 tff(10207,plain,
% 8.16/5.82 (![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10206, 10199])).
% 8.16/5.82 tff(10208,plain,
% 8.16/5.82 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB5)) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB5)) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B))))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10209,plain,
% 8.16/5.82 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB5)) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B))))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10210,plain,
% 8.16/5.82 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB5)) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10209, 10208])).
% 8.16/5.82 tff(10211,plain,
% 8.16/5.82 ((~v121(constB5)) | ![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10210, 10207])).
% 8.16/5.82 tff(10212,plain,
% 8.16/5.82 (![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10211, 10122])).
% 8.16/5.82 tff(10213,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b011(bitIndex2)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10214,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b011(bitIndex2)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10215,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB5, bitIndex2) <=> b011(bitIndex2))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 8.16/5.82 tff(10216,plain,
% 8.16/5.82 (v130(constB5, bitIndex2) <=> b011(bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10215, 648, 10212])).
% 8.16/5.82 tff(10217,plain,
% 8.16/5.82 ((~b011(bitIndex2)) <=> (~b011(bitIndex2))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10218,axiom,(~b011(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_11')).
% 8.16/5.82 tff(10219,plain,
% 8.16/5.82 (~b011(bitIndex2)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10218, 10217])).
% 8.16/5.82 tff(10220,plain,
% 8.16/5.82 ((~(v130(constB5, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB5, bitIndex2)) | b011(bitIndex2)),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10221,plain,
% 8.16/5.82 ((~(v130(constB5, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB5, bitIndex2))),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10220, 10219])).
% 8.16/5.82 tff(10222,plain,
% 8.16/5.82 (~v130(constB5, bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10221, 10216])).
% 8.16/5.82 tff(10223,plain,
% 8.16/5.82 ((~(v127(constB5, bitIndex2) <=> v130(constB5, bitIndex2))) | (~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10224,plain,
% 8.16/5.82 (~v127(constB5, bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10223, 10222, 10194])).
% 8.16/5.82 tff(10225,plain,
% 8.16/5.82 ((~(v129(constB6, bitIndex2) <=> v127(constB5, bitIndex2))) | (~v129(constB6, bitIndex2)) | v127(constB5, bitIndex2)),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10226,plain,
% 8.16/5.82 (~v129(constB6, bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10225, 10224, 10186])).
% 8.16/5.82 tff(10227,plain,
% 8.16/5.82 ((~(v90(constB6, bitIndex2) <=> v129(constB6, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2)),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10228,plain,
% 8.16/5.82 (~v90(constB6, bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10227, 10226, 10178])).
% 8.16/5.82 tff(10229,plain,
% 8.16/5.82 ((~(v90(constB7, bitIndex2) <=> v90(constB6, bitIndex2))) | (~v90(constB7, bitIndex2)) | v90(constB6, bitIndex2)),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10230,plain,
% 8.16/5.82 (~v90(constB7, bitIndex2)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10229, 10228, 9357])).
% 8.16/5.82 tff(10231,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10232,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10233,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 8.16/5.82 tff(10234,plain,
% 8.16/5.82 (v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10233, 9653, 9353])).
% 8.16/5.82 tff(10235,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10236,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10237,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex0)) | (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10236, 10235])).
% 8.16/5.82 tff(10238,plain,
% 8.16/5.82 (v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10237, 9653, 10174])).
% 8.16/5.82 tff(10239,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10240,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10241,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex0)) | (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10240, 10239])).
% 8.16/5.82 tff(10242,plain,
% 8.16/5.82 (v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10241, 9653, 10182])).
% 8.16/5.82 tff(10243,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10244,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10245,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex0)) | (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10244, 10243])).
% 8.16/5.82 tff(10246,plain,
% 8.16/5.82 (v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10245, 9653, 10190])).
% 8.16/5.82 tff(10247,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b011(bitIndex0)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10248,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b011(bitIndex0)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10249,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB5, bitIndex0) <=> b011(bitIndex0))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 8.16/5.82 tff(10250,plain,
% 8.16/5.82 (v130(constB5, bitIndex0) <=> b011(bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10249, 9653, 10212])).
% 8.16/5.82 tff(10251,plain,
% 8.16/5.82 (b011(bitIndex0) <=> b011(bitIndex0)),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10252,axiom,(b011(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_9')).
% 8.16/5.82 tff(10253,plain,
% 8.16/5.82 (b011(bitIndex0)),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 8.16/5.82 tff(10254,plain,
% 8.16/5.82 ((~(v130(constB5, bitIndex0) <=> b011(bitIndex0))) | v130(constB5, bitIndex0) | (~b011(bitIndex0))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10255,plain,
% 8.16/5.82 ((~(v130(constB5, bitIndex0) <=> b011(bitIndex0))) | v130(constB5, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10254, 10253])).
% 8.16/5.82 tff(10256,plain,
% 8.16/5.82 (v130(constB5, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10255, 10250])).
% 8.16/5.82 tff(10257,plain,
% 8.16/5.82 ((~(v127(constB5, bitIndex0) <=> v130(constB5, bitIndex0))) | v127(constB5, bitIndex0) | (~v130(constB5, bitIndex0))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10258,plain,
% 8.16/5.82 (v127(constB5, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10257, 10256, 10246])).
% 8.16/5.82 tff(10259,plain,
% 8.16/5.82 ((~(v129(constB6, bitIndex0) <=> v127(constB5, bitIndex0))) | v129(constB6, bitIndex0) | (~v127(constB5, bitIndex0))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10260,plain,
% 8.16/5.82 (v129(constB6, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10259, 10258, 10242])).
% 8.16/5.82 tff(10261,plain,
% 8.16/5.82 ((~(v90(constB6, bitIndex0) <=> v129(constB6, bitIndex0))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10262,plain,
% 8.16/5.82 (v90(constB6, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10261, 10260, 10238])).
% 8.16/5.82 tff(10263,plain,
% 8.16/5.82 ((~(v90(constB7, bitIndex0) <=> v90(constB6, bitIndex0))) | v90(constB7, bitIndex0) | (~v90(constB6, bitIndex0))),
% 8.16/5.82 inference(tautology,[status(thm)],[])).
% 8.16/5.82 tff(10264,plain,
% 8.16/5.82 (v90(constB7, bitIndex0)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10263, 10262, 10234])).
% 8.16/5.82 tff(10265,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10266,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10267,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB7, B) <=> v90(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10266, 10265])).
% 8.16/5.82 tff(10268,plain,
% 8.16/5.82 (v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10267, 375, 9353])).
% 8.16/5.82 tff(10269,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10270,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | ((~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10271,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v90(constB6, B) <=> v129(constB6, B)))) | (~less_3(bitIndex1)) | (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 8.16/5.82 tff(10272,plain,
% 8.16/5.82 (v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10271, 375, 10174])).
% 8.16/5.82 tff(10273,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10274,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | ((~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10275,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v129(constB6, B) <=> v127(constB5, B)))) | (~less_3(bitIndex1)) | (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 8.16/5.82 tff(10276,plain,
% 8.16/5.82 (v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10275, 375, 10182])).
% 8.16/5.82 tff(10277,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10278,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | ((~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10279,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v127(constB5, B) <=> v130(constB5, B)))) | (~less_3(bitIndex1)) | (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 8.16/5.82 tff(10280,plain,
% 8.16/5.82 (v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1)),
% 8.16/5.82 inference(unit_resolution,[status(thm)],[10279, 375, 10190])).
% 8.16/5.82 tff(10281,plain,
% 8.16/5.82 (((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b011(bitIndex1)))),
% 8.16/5.82 inference(rewrite,[status(thm)],[])).
% 8.16/5.82 tff(10282,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b011(bitIndex1)))),
% 8.16/5.82 inference(quant_inst,[status(thm)],[])).
% 8.16/5.82 tff(10283,plain,
% 8.16/5.82 ((~![B: $i] : ((~less_3(B)) | (v130(constB5, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB5, bitIndex1) <=> b011(bitIndex1))),
% 8.16/5.82 inference(modus_ponens,[status(thm)],[10282, 10281])).
% 8.16/5.82 tff(10284,plain,
% 8.16/5.82 (v130(constB5, bitIndex1) <=> b011(bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10283, 375, 10212])).
% 8.16/5.83 tff(10285,plain,
% 8.16/5.83 (b011(bitIndex1) <=> b011(bitIndex1)),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10286,axiom,(b011(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_10')).
% 8.16/5.83 tff(10287,plain,
% 8.16/5.83 (b011(bitIndex1)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10286, 10285])).
% 8.16/5.83 tff(10288,plain,
% 8.16/5.83 ((~(v130(constB5, bitIndex1) <=> b011(bitIndex1))) | v130(constB5, bitIndex1) | (~b011(bitIndex1))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10289,plain,
% 8.16/5.83 ((~(v130(constB5, bitIndex1) <=> b011(bitIndex1))) | v130(constB5, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10288, 10287])).
% 8.16/5.83 tff(10290,plain,
% 8.16/5.83 (v130(constB5, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10289, 10284])).
% 8.16/5.83 tff(10291,plain,
% 8.16/5.83 ((~(v127(constB5, bitIndex1) <=> v130(constB5, bitIndex1))) | v127(constB5, bitIndex1) | (~v130(constB5, bitIndex1))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10292,plain,
% 8.16/5.83 (v127(constB5, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10291, 10290, 10280])).
% 8.16/5.83 tff(10293,plain,
% 8.16/5.83 ((~(v129(constB6, bitIndex1) <=> v127(constB5, bitIndex1))) | v129(constB6, bitIndex1) | (~v127(constB5, bitIndex1))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10294,plain,
% 8.16/5.83 (v129(constB6, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10293, 10292, 10276])).
% 8.16/5.83 tff(10295,plain,
% 8.16/5.83 ((~(v90(constB6, bitIndex1) <=> v129(constB6, bitIndex1))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10296,plain,
% 8.16/5.83 (v90(constB6, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10295, 10294, 10272])).
% 8.16/5.83 tff(10297,plain,
% 8.16/5.83 ((~(v90(constB7, bitIndex1) <=> v90(constB6, bitIndex1))) | v90(constB7, bitIndex1) | (~v90(constB6, bitIndex1))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10298,plain,
% 8.16/5.83 (v90(constB7, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10297, 10296, 10268])).
% 8.16/5.83 tff(10299,plain,
% 8.16/5.83 ((~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10300,plain,
% 8.16/5.83 (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10299, 10298, 10264, 10230])).
% 8.16/5.83 tff(10301,plain,
% 8.16/5.83 ((~(v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))) | v122(constB7) | (v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10302,plain,
% 8.16/5.83 (v122(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10301, 10300, 9325])).
% 8.16/5.83 tff(10303,plain,
% 8.16/5.83 ((v117(constB7) | v122(constB7)) | (~v122(constB7))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10304,plain,
% 8.16/5.83 (v117(constB7) | v122(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10303, 10302])).
% 8.16/5.83 tff(10305,plain,
% 8.16/5.83 ((~(v116(constB7) <=> (v117(constB7) | v122(constB7)))) | v116(constB7) | (~(v117(constB7) | v122(constB7)))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10306,plain,
% 8.16/5.83 (v116(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10305, 10304, 9318])).
% 8.16/5.83 tff(10307,plain,
% 8.16/5.83 ((v116(constB7) | v123(constB7)) | (~v116(constB7))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10308,plain,
% 8.16/5.83 (v116(constB7) | v123(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10307, 10306])).
% 8.16/5.83 tff(10309,plain,
% 8.16/5.83 ((~(v115(constB7) <=> (v116(constB7) | v123(constB7)))) | v115(constB7) | (~(v116(constB7) | v123(constB7)))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10310,plain,
% 8.16/5.83 (v115(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10309, 10308, 9316])).
% 8.16/5.83 tff(10311,plain,
% 8.16/5.83 ((v115(constB7) | v124(constB7)) | (~v115(constB7))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10312,plain,
% 8.16/5.83 (v115(constB7) | v124(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10311, 10310])).
% 8.16/5.83 tff(10313,plain,
% 8.16/5.83 ((~(v114(constB7) <=> (v115(constB7) | v124(constB7)))) | v114(constB7) | (~(v115(constB7) | v124(constB7)))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10314,plain,
% 8.16/5.83 (v114(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10313, 10312, 9314])).
% 8.16/5.83 tff(10315,plain,
% 8.16/5.83 ((v114(constB7) | v125(constB7)) | (~v114(constB7))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10316,plain,
% 8.16/5.83 (v114(constB7) | v125(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10315, 10314])).
% 8.16/5.83 tff(10317,plain,
% 8.16/5.83 ((~(v113(constB7) <=> (v114(constB7) | v125(constB7)))) | v113(constB7) | (~(v114(constB7) | v125(constB7)))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10318,plain,
% 8.16/5.83 (v113(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10317, 10316, 9312])).
% 8.16/5.83 tff(10319,plain,
% 8.16/5.83 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB7)) <=> v111(constB7))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10320,plain,
% 8.16/5.83 ((~v126(constB7)) <=> v111(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10319, 9720])).
% 8.16/5.83 tff(10321,plain,
% 8.16/5.83 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB7) <=> v26(constB7))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10322,plain,
% 8.16/5.83 (v111(constB7) <=> v26(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10321, 9732])).
% 8.16/5.83 tff(10323,plain,
% 8.16/5.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10324,plain,
% 8.16/5.83 (~v26(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10323, 9744])).
% 8.16/5.83 tff(10325,plain,
% 8.16/5.83 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7)) | v26(constB7)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10326,plain,
% 8.16/5.83 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10325, 10324])).
% 8.16/5.83 tff(10327,plain,
% 8.16/5.83 (~v111(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10326, 10322])).
% 8.16/5.83 tff(10328,plain,
% 8.16/5.83 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7) | v111(constB7)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10329,plain,
% 8.16/5.83 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10328, 10327])).
% 8.16/5.83 tff(10330,plain,
% 8.16/5.83 (v126(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10329, 10320])).
% 8.16/5.83 tff(10331,plain,
% 8.16/5.83 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7)) | (~v126(constB7))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10332,plain,
% 8.16/5.83 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10331, 10330])).
% 8.16/5.83 tff(10333,plain,
% 8.16/5.83 (~((~v113(constB7)) | (~v126(constB7)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10332, 10318])).
% 8.16/5.83 tff(10334,plain,
% 8.16/5.83 ((~(v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))) | v112(constB7) | ((~v113(constB7)) | (~v126(constB7)))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10335,plain,
% 8.16/5.83 (v112(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10334, 10333, 9310])).
% 8.16/5.83 tff(10336,plain,
% 8.16/5.83 ((v111(constB7) | v112(constB7)) | (~v112(constB7))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10337,plain,
% 8.16/5.83 (v111(constB7) | v112(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10336, 10335])).
% 8.16/5.83 tff(10338,plain,
% 8.16/5.83 ((~(v108(constB7) <=> (v111(constB7) | v112(constB7)))) | v108(constB7) | (~(v111(constB7) | v112(constB7)))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10339,plain,
% 8.16/5.83 (v108(constB7)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10338, 10337, 9308])).
% 8.16/5.83 tff(10340,plain,
% 8.16/5.83 ((~(v110(constB8) <=> v108(constB7))) | v110(constB8) | (~v108(constB7))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10341,plain,
% 8.16/5.83 (v110(constB8)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10340, 10339, 9306])).
% 8.16/5.83 tff(10342,plain,
% 8.16/5.83 ((~((~v101(constB8)) | (~v110(constB8)))) | (~v101(constB8)) | (~v110(constB8))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10343,plain,
% 8.16/5.83 (~((~v101(constB8)) | (~v110(constB8)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10342, 10341, 9302])).
% 8.16/5.83 tff(10344,plain,
% 8.16/5.83 ((~(v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))) | v100(constB8) | ((~v101(constB8)) | (~v110(constB8)))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10345,plain,
% 8.16/5.83 (v100(constB8)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10344, 10343, 9271])).
% 8.16/5.83 tff(10346,plain,
% 8.16/5.83 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B))))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10347,plain,
% 8.16/5.83 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B))))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10348,plain,
% 8.16/5.83 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10347, 10346])).
% 8.16/5.83 tff(10349,plain,
% 8.16/5.83 ((~v100(constB8)) | ![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10348, 9780])).
% 8.16/5.83 tff(10350,plain,
% 8.16/5.83 (![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10349, 10345])).
% 8.16/5.83 tff(10351,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10352,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10353,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex2)) | (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10352, 10351])).
% 8.16/5.83 tff(10354,plain,
% 8.16/5.83 (v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10353, 648, 10350])).
% 8.16/5.83 tff(10355,plain,
% 8.16/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B))))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10356,plain,
% 8.16/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B))))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10357,plain,
% 8.16/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 8.16/5.83 tff(10358,plain,
% 8.16/5.83 (![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10357, 9267, 9802])).
% 8.16/5.83 tff(10359,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10360,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10361,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex2)) | (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10360, 10359])).
% 8.16/5.83 tff(10362,plain,
% 8.16/5.83 (v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10361, 648, 10358])).
% 8.16/5.83 tff(10363,plain,
% 8.16/5.83 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB7) | ![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB7) | ![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B))))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10364,plain,
% 8.16/5.83 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB7) | ![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B))))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10365,plain,
% 8.16/5.83 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB7) | ![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 8.16/5.83 tff(10366,plain,
% 8.16/5.83 (![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10365, 9823, 10327])).
% 8.16/5.83 tff(10367,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10368,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10369,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex2)) | (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 8.16/5.83 tff(10370,plain,
% 8.16/5.83 (v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10369, 648, 10366])).
% 8.16/5.83 tff(10371,plain,
% 8.16/5.83 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))),
% 8.16/5.83 inference(bind,[status(th)],[])).
% 8.16/5.83 tff(10372,plain,
% 8.16/5.83 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(quant_intro,[status(thm)],[10371])).
% 8.16/5.83 tff(10373,plain,
% 8.16/5.83 (^[VarCurr: $i] : rewrite(((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))),
% 8.16/5.83 inference(bind,[status(th)],[])).
% 8.16/5.83 tff(10374,plain,
% 8.16/5.83 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(quant_intro,[status(thm)],[10373])).
% 8.16/5.83 tff(10375,plain,
% 8.16/5.83 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(transitivity,[status(thm)],[10374, 10372])).
% 8.16/5.83 tff(10376,plain,
% 8.16/5.83 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10377,plain,
% 8.16/5.83 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b100(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), ((v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> (v122(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))))), rewrite((v122(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B)))) <=> ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))), ((v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))))),
% 8.16/5.83 inference(bind,[status(th)],[])).
% 8.16/5.83 tff(10378,plain,
% 8.16/5.83 (![VarCurr: $i] : (v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(quant_intro,[status(thm)],[10377])).
% 8.16/5.83 tff(10379,axiom,(![VarCurr: $i] : (v122(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b100(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3')).
% 8.16/5.83 tff(10380,plain,
% 8.16/5.83 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10379, 10378])).
% 8.16/5.83 tff(10381,plain,
% 8.16/5.83 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10380, 10376])).
% 8.16/5.83 tff(10382,plain,(
% 8.16/5.83 ![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(skolemize,[status(sab)],[10381])).
% 8.16/5.83 tff(10383,plain,
% 8.16/5.83 (![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10382, 10375])).
% 8.16/5.83 tff(10384,plain,
% 8.16/5.83 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B))))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10385,plain,
% 8.16/5.83 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B))))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10386,plain,
% 8.16/5.83 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10385, 10384])).
% 8.16/5.83 tff(10387,plain,
% 8.16/5.83 ((~v122(constB7)) | ![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10386, 10383])).
% 8.16/5.83 tff(10388,plain,
% 8.16/5.83 (![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10387, 10302])).
% 8.16/5.83 tff(10389,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b100(bitIndex2)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10390,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b100(bitIndex2)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10391,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB7, bitIndex2) <=> b100(bitIndex2))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 8.16/5.83 tff(10392,plain,
% 8.16/5.83 (v130(constB7, bitIndex2) <=> b100(bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10391, 648, 10388])).
% 8.16/5.83 tff(10393,plain,
% 8.16/5.83 (b100(bitIndex2) <=> b100(bitIndex2)),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10394,axiom,(b100(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_14')).
% 8.16/5.83 tff(10395,plain,
% 8.16/5.83 (b100(bitIndex2)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10394, 10393])).
% 8.16/5.83 tff(10396,plain,
% 8.16/5.83 ((~(v130(constB7, bitIndex2) <=> b100(bitIndex2))) | v130(constB7, bitIndex2) | (~b100(bitIndex2))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10397,plain,
% 8.16/5.83 ((~(v130(constB7, bitIndex2) <=> b100(bitIndex2))) | v130(constB7, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10396, 10395])).
% 8.16/5.83 tff(10398,plain,
% 8.16/5.83 (v130(constB7, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10397, 10392])).
% 8.16/5.83 tff(10399,plain,
% 8.16/5.83 ((~(v127(constB7, bitIndex2) <=> v130(constB7, bitIndex2))) | v127(constB7, bitIndex2) | (~v130(constB7, bitIndex2))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10400,plain,
% 8.16/5.83 (v127(constB7, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10399, 10398, 10370])).
% 8.16/5.83 tff(10401,plain,
% 8.16/5.83 ((~(v129(constB8, bitIndex2) <=> v127(constB7, bitIndex2))) | v129(constB8, bitIndex2) | (~v127(constB7, bitIndex2))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10402,plain,
% 8.16/5.83 (v129(constB8, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10401, 10400, 10362])).
% 8.16/5.83 tff(10403,plain,
% 8.16/5.83 ((~(v90(constB8, bitIndex2) <=> v129(constB8, bitIndex2))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10404,plain,
% 8.16/5.83 (v90(constB8, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10403, 10402, 10354])).
% 8.16/5.83 tff(10405,plain,
% 8.16/5.83 ((~(v90(constB9, bitIndex2) <=> v90(constB8, bitIndex2))) | v90(constB9, bitIndex2) | (~v90(constB8, bitIndex2))),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10406,plain,
% 8.16/5.83 (v90(constB9, bitIndex2)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10405, 10404, 9264])).
% 8.16/5.83 tff(10407,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10408,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10409,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 8.16/5.83 tff(10410,plain,
% 8.16/5.83 (v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10409, 9653, 9260])).
% 8.16/5.83 tff(10411,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10412,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10413,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex0)) | (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10412, 10411])).
% 8.16/5.83 tff(10414,plain,
% 8.16/5.83 (v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10413, 9653, 10350])).
% 8.16/5.83 tff(10415,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10416,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10417,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex0)) | (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10416, 10415])).
% 8.16/5.83 tff(10418,plain,
% 8.16/5.83 (v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10417, 9653, 10358])).
% 8.16/5.83 tff(10419,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10420,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10421,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex0)) | (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10420, 10419])).
% 8.16/5.83 tff(10422,plain,
% 8.16/5.83 (v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10421, 9653, 10366])).
% 8.16/5.83 tff(10423,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b100(bitIndex0)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10424,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b100(bitIndex0)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10425,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB7, bitIndex0) <=> b100(bitIndex0))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10424, 10423])).
% 8.16/5.83 tff(10426,plain,
% 8.16/5.83 (v130(constB7, bitIndex0) <=> b100(bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10425, 9653, 10388])).
% 8.16/5.83 tff(10427,plain,
% 8.16/5.83 ((~b100(bitIndex0)) <=> (~b100(bitIndex0))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10428,axiom,(~b100(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_12')).
% 8.16/5.83 tff(10429,plain,
% 8.16/5.83 (~b100(bitIndex0)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10428, 10427])).
% 8.16/5.83 tff(10430,plain,
% 8.16/5.83 ((~(v130(constB7, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB7, bitIndex0)) | b100(bitIndex0)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10431,plain,
% 8.16/5.83 ((~(v130(constB7, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB7, bitIndex0))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10430, 10429])).
% 8.16/5.83 tff(10432,plain,
% 8.16/5.83 (~v130(constB7, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10431, 10426])).
% 8.16/5.83 tff(10433,plain,
% 8.16/5.83 ((~(v127(constB7, bitIndex0) <=> v130(constB7, bitIndex0))) | (~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10434,plain,
% 8.16/5.83 (~v127(constB7, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10433, 10432, 10422])).
% 8.16/5.83 tff(10435,plain,
% 8.16/5.83 ((~(v129(constB8, bitIndex0) <=> v127(constB7, bitIndex0))) | (~v129(constB8, bitIndex0)) | v127(constB7, bitIndex0)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10436,plain,
% 8.16/5.83 (~v129(constB8, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10435, 10434, 10418])).
% 8.16/5.83 tff(10437,plain,
% 8.16/5.83 ((~(v90(constB8, bitIndex0) <=> v129(constB8, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10438,plain,
% 8.16/5.83 (~v90(constB8, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10437, 10436, 10414])).
% 8.16/5.83 tff(10439,plain,
% 8.16/5.83 ((~(v90(constB9, bitIndex0) <=> v90(constB8, bitIndex0))) | (~v90(constB9, bitIndex0)) | v90(constB8, bitIndex0)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10440,plain,
% 8.16/5.83 (~v90(constB9, bitIndex0)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10439, 10438, 10410])).
% 8.16/5.83 tff(10441,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10442,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10443,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB9, B) <=> v90(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 8.16/5.83 tff(10444,plain,
% 8.16/5.83 (v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10443, 375, 9260])).
% 8.16/5.83 tff(10445,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10446,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | ((~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10447,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v90(constB8, B) <=> v129(constB8, B)))) | (~less_3(bitIndex1)) | (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 8.16/5.83 tff(10448,plain,
% 8.16/5.83 (v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10447, 375, 10350])).
% 8.16/5.83 tff(10449,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10450,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | ((~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10451,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v129(constB8, B) <=> v127(constB7, B)))) | (~less_3(bitIndex1)) | (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 8.16/5.83 tff(10452,plain,
% 8.16/5.83 (v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10451, 375, 10358])).
% 8.16/5.83 tff(10453,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10454,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | ((~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10455,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v127(constB7, B) <=> v130(constB7, B)))) | (~less_3(bitIndex1)) | (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10454, 10453])).
% 8.16/5.83 tff(10456,plain,
% 8.16/5.83 (v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10455, 375, 10366])).
% 8.16/5.83 tff(10457,plain,
% 8.16/5.83 (((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b100(bitIndex1)))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10458,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b100(bitIndex1)))),
% 8.16/5.83 inference(quant_inst,[status(thm)],[])).
% 8.16/5.83 tff(10459,plain,
% 8.16/5.83 ((~![B: $i] : ((~less_3(B)) | (v130(constB7, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB7, bitIndex1) <=> b100(bitIndex1))),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 8.16/5.83 tff(10460,plain,
% 8.16/5.83 (v130(constB7, bitIndex1) <=> b100(bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10459, 375, 10388])).
% 8.16/5.83 tff(10461,plain,
% 8.16/5.83 ((~b100(bitIndex1)) <=> (~b100(bitIndex1))),
% 8.16/5.83 inference(rewrite,[status(thm)],[])).
% 8.16/5.83 tff(10462,axiom,(~b100(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_13')).
% 8.16/5.83 tff(10463,plain,
% 8.16/5.83 (~b100(bitIndex1)),
% 8.16/5.83 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 8.16/5.83 tff(10464,plain,
% 8.16/5.83 ((~(v130(constB7, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB7, bitIndex1)) | b100(bitIndex1)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10465,plain,
% 8.16/5.83 ((~(v130(constB7, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB7, bitIndex1))),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10464, 10463])).
% 8.16/5.83 tff(10466,plain,
% 8.16/5.83 (~v130(constB7, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10465, 10460])).
% 8.16/5.83 tff(10467,plain,
% 8.16/5.83 ((~(v127(constB7, bitIndex1) <=> v130(constB7, bitIndex1))) | (~v127(constB7, bitIndex1)) | v130(constB7, bitIndex1)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10468,plain,
% 8.16/5.83 (~v127(constB7, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10467, 10466, 10456])).
% 8.16/5.83 tff(10469,plain,
% 8.16/5.83 ((~(v129(constB8, bitIndex1) <=> v127(constB7, bitIndex1))) | (~v129(constB8, bitIndex1)) | v127(constB7, bitIndex1)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10470,plain,
% 8.16/5.83 (~v129(constB8, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10469, 10468, 10452])).
% 8.16/5.83 tff(10471,plain,
% 8.16/5.83 ((~(v90(constB8, bitIndex1) <=> v129(constB8, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10472,plain,
% 8.16/5.83 (~v90(constB8, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10471, 10470, 10448])).
% 8.16/5.83 tff(10473,plain,
% 8.16/5.83 ((~(v90(constB9, bitIndex1) <=> v90(constB8, bitIndex1))) | (~v90(constB9, bitIndex1)) | v90(constB8, bitIndex1)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.16/5.83 tff(10474,plain,
% 8.16/5.83 (~v90(constB9, bitIndex1)),
% 8.16/5.83 inference(unit_resolution,[status(thm)],[10473, 10472, 10444])).
% 8.16/5.83 tff(10475,plain,
% 8.16/5.83 ((~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))) | (~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0)),
% 8.16/5.83 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10476,plain,
% 8.26/5.84 (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10475, 10474, 10440, 10406])).
% 8.26/5.84 tff(10477,plain,
% 8.26/5.84 ((~(v123(constB9) <=> (~((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))))) | v123(constB9) | ((~v90(constB9, bitIndex2)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10478,plain,
% 8.26/5.84 (v123(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10477, 10476, 9232])).
% 8.26/5.84 tff(10479,plain,
% 8.26/5.84 ((v116(constB9) | v123(constB9)) | (~v123(constB9))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10480,plain,
% 8.26/5.84 (v116(constB9) | v123(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10479, 10478])).
% 8.26/5.84 tff(10481,plain,
% 8.26/5.84 ((~(v115(constB9) <=> (v116(constB9) | v123(constB9)))) | v115(constB9) | (~(v116(constB9) | v123(constB9)))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10482,plain,
% 8.26/5.84 (v115(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10481, 10480, 9225])).
% 8.26/5.84 tff(10483,plain,
% 8.26/5.84 ((v115(constB9) | v124(constB9)) | (~v115(constB9))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10484,plain,
% 8.26/5.84 (v115(constB9) | v124(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10483, 10482])).
% 8.26/5.84 tff(10485,plain,
% 8.26/5.84 ((~(v114(constB9) <=> (v115(constB9) | v124(constB9)))) | v114(constB9) | (~(v115(constB9) | v124(constB9)))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10486,plain,
% 8.26/5.84 (v114(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10485, 10484, 9223])).
% 8.26/5.84 tff(10487,plain,
% 8.26/5.84 ((v114(constB9) | v125(constB9)) | (~v114(constB9))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10488,plain,
% 8.26/5.84 (v114(constB9) | v125(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10487, 10486])).
% 8.26/5.84 tff(10489,plain,
% 8.26/5.84 ((~(v113(constB9) <=> (v114(constB9) | v125(constB9)))) | v113(constB9) | (~(v114(constB9) | v125(constB9)))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10490,plain,
% 8.26/5.84 (v113(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10489, 10488, 9221])).
% 8.26/5.84 tff(10491,plain,
% 8.26/5.84 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB9)) <=> v111(constB9))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10492,plain,
% 8.26/5.84 ((~v126(constB9)) <=> v111(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10491, 9720])).
% 8.26/5.84 tff(10493,plain,
% 8.26/5.84 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB9) <=> v26(constB9))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10494,plain,
% 8.26/5.84 (v111(constB9) <=> v26(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10493, 9732])).
% 8.26/5.84 tff(10495,plain,
% 8.26/5.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10496,plain,
% 8.26/5.84 (~v26(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10495, 9744])).
% 8.26/5.84 tff(10497,plain,
% 8.26/5.84 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9)) | v26(constB9)),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10498,plain,
% 8.26/5.84 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10497, 10496])).
% 8.26/5.84 tff(10499,plain,
% 8.26/5.84 (~v111(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10498, 10494])).
% 8.26/5.84 tff(10500,plain,
% 8.26/5.84 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9) | v111(constB9)),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10501,plain,
% 8.26/5.84 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10500, 10499])).
% 8.26/5.84 tff(10502,plain,
% 8.26/5.84 (v126(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10501, 10492])).
% 8.26/5.84 tff(10503,plain,
% 8.26/5.84 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9)) | (~v126(constB9))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10504,plain,
% 8.26/5.84 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10503, 10502])).
% 8.26/5.84 tff(10505,plain,
% 8.26/5.84 (~((~v113(constB9)) | (~v126(constB9)))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10504, 10490])).
% 8.26/5.84 tff(10506,plain,
% 8.26/5.84 ((~(v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))) | v112(constB9) | ((~v113(constB9)) | (~v126(constB9)))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10507,plain,
% 8.26/5.84 (v112(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10506, 10505, 9219])).
% 8.26/5.84 tff(10508,plain,
% 8.26/5.84 ((v111(constB9) | v112(constB9)) | (~v112(constB9))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10509,plain,
% 8.26/5.84 (v111(constB9) | v112(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10508, 10507])).
% 8.26/5.84 tff(10510,plain,
% 8.26/5.84 ((~(v108(constB9) <=> (v111(constB9) | v112(constB9)))) | v108(constB9) | (~(v111(constB9) | v112(constB9)))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10511,plain,
% 8.26/5.84 (v108(constB9)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10510, 10509, 9217])).
% 8.26/5.84 tff(10512,plain,
% 8.26/5.84 ((~(v110(constB10) <=> v108(constB9))) | v110(constB10) | (~v108(constB9))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10513,plain,
% 8.26/5.84 (v110(constB10)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10512, 10511, 9215])).
% 8.26/5.84 tff(10514,plain,
% 8.26/5.84 ((~((~v101(constB10)) | (~v110(constB10)))) | (~v101(constB10)) | (~v110(constB10))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10515,plain,
% 8.26/5.84 (~((~v101(constB10)) | (~v110(constB10)))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10514, 10513, 9211])).
% 8.26/5.84 tff(10516,plain,
% 8.26/5.84 ((~(v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))) | v100(constB10) | ((~v101(constB10)) | (~v110(constB10)))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10517,plain,
% 8.26/5.84 (v100(constB10)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10516, 10515, 9180])).
% 8.26/5.84 tff(10518,plain,
% 8.26/5.84 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B))))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10519,plain,
% 8.26/5.84 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B))))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10520,plain,
% 8.26/5.84 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10519, 10518])).
% 8.26/5.84 tff(10521,plain,
% 8.26/5.84 ((~v100(constB10)) | ![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10520, 9780])).
% 8.26/5.84 tff(10522,plain,
% 8.26/5.84 (![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10521, 10517])).
% 8.26/5.84 tff(10523,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10524,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10525,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex2)) | (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10524, 10523])).
% 8.26/5.84 tff(10526,plain,
% 8.26/5.84 (v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10525, 648, 10522])).
% 8.26/5.84 tff(10527,plain,
% 8.26/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B))))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10528,plain,
% 8.26/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B))))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10529,plain,
% 8.26/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 8.26/5.84 tff(10530,plain,
% 8.26/5.84 (![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10529, 9176, 9802])).
% 8.26/5.84 tff(10531,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10532,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10533,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex2)) | (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10532, 10531])).
% 8.26/5.84 tff(10534,plain,
% 8.26/5.84 (v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10533, 648, 10530])).
% 8.26/5.84 tff(10535,plain,
% 8.26/5.84 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB9) | ![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB9) | ![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B))))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10536,plain,
% 8.26/5.84 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB9) | ![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B))))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10537,plain,
% 8.26/5.84 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB9) | ![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10536, 10535])).
% 8.26/5.84 tff(10538,plain,
% 8.26/5.84 (![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10537, 9823, 10499])).
% 8.26/5.84 tff(10539,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10540,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10541,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex2)) | (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10540, 10539])).
% 8.26/5.84 tff(10542,plain,
% 8.26/5.84 (v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10541, 648, 10538])).
% 8.26/5.84 tff(10543,plain,
% 8.26/5.84 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))) <=> ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))))),
% 8.26/5.84 inference(bind,[status(th)],[])).
% 8.26/5.84 tff(10544,plain,
% 8.26/5.84 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(quant_intro,[status(thm)],[10543])).
% 8.26/5.84 tff(10545,plain,
% 8.26/5.84 (^[VarCurr: $i] : rewrite(((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))) <=> ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))))),
% 8.26/5.84 inference(bind,[status(th)],[])).
% 8.26/5.84 tff(10546,plain,
% 8.26/5.84 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(quant_intro,[status(thm)],[10545])).
% 8.26/5.84 tff(10547,plain,
% 8.26/5.84 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(transitivity,[status(thm)],[10546, 10544])).
% 8.26/5.84 tff(10548,plain,
% 8.26/5.84 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10549,plain,
% 8.26/5.84 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b101(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b101(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))), ((v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b101(B)))) <=> (v123(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))))), rewrite((v123(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B)))) <=> ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))), ((v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b101(B)))) <=> ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))))),
% 8.26/5.84 inference(bind,[status(th)],[])).
% 8.26/5.84 tff(10550,plain,
% 8.26/5.84 (![VarCurr: $i] : (v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(quant_intro,[status(thm)],[10549])).
% 8.26/5.84 tff(10551,axiom,(![VarCurr: $i] : (v123(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b101(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 8.26/5.84 tff(10552,plain,
% 8.26/5.84 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10551, 10550])).
% 8.26/5.84 tff(10553,plain,
% 8.26/5.84 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10552, 10548])).
% 8.26/5.84 tff(10554,plain,(
% 8.26/5.84 ![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(skolemize,[status(sab)],[10553])).
% 8.26/5.84 tff(10555,plain,
% 8.26/5.84 (![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10554, 10547])).
% 8.26/5.84 tff(10556,plain,
% 8.26/5.84 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B))))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10557,plain,
% 8.26/5.84 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B))))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10558,plain,
% 8.26/5.84 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10557, 10556])).
% 8.26/5.84 tff(10559,plain,
% 8.26/5.84 ((~v123(constB9)) | ![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10558, 10555])).
% 8.26/5.84 tff(10560,plain,
% 8.26/5.84 (![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10559, 10478])).
% 8.26/5.84 tff(10561,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b101(bitIndex2)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10562,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b101(bitIndex2)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10563,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB9, bitIndex2) <=> b101(bitIndex2))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 8.26/5.84 tff(10564,plain,
% 8.26/5.84 (v130(constB9, bitIndex2) <=> b101(bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10563, 648, 10560])).
% 8.26/5.84 tff(10565,plain,
% 8.26/5.84 (b101(bitIndex2) <=> b101(bitIndex2)),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10566,axiom,(b101(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_17')).
% 8.26/5.84 tff(10567,plain,
% 8.26/5.84 (b101(bitIndex2)),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10566, 10565])).
% 8.26/5.84 tff(10568,plain,
% 8.26/5.84 ((~(v130(constB9, bitIndex2) <=> b101(bitIndex2))) | v130(constB9, bitIndex2) | (~b101(bitIndex2))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10569,plain,
% 8.26/5.84 ((~(v130(constB9, bitIndex2) <=> b101(bitIndex2))) | v130(constB9, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10568, 10567])).
% 8.26/5.84 tff(10570,plain,
% 8.26/5.84 (v130(constB9, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10569, 10564])).
% 8.26/5.84 tff(10571,plain,
% 8.26/5.84 ((~(v127(constB9, bitIndex2) <=> v130(constB9, bitIndex2))) | v127(constB9, bitIndex2) | (~v130(constB9, bitIndex2))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10572,plain,
% 8.26/5.84 (v127(constB9, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10571, 10570, 10542])).
% 8.26/5.84 tff(10573,plain,
% 8.26/5.84 ((~(v129(constB10, bitIndex2) <=> v127(constB9, bitIndex2))) | v129(constB10, bitIndex2) | (~v127(constB9, bitIndex2))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10574,plain,
% 8.26/5.84 (v129(constB10, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10573, 10572, 10534])).
% 8.26/5.84 tff(10575,plain,
% 8.26/5.84 ((~(v90(constB10, bitIndex2) <=> v129(constB10, bitIndex2))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10576,plain,
% 8.26/5.84 (v90(constB10, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10575, 10574, 10526])).
% 8.26/5.84 tff(10577,plain,
% 8.26/5.84 ((~(v90(constB11, bitIndex2) <=> v90(constB10, bitIndex2))) | v90(constB11, bitIndex2) | (~v90(constB10, bitIndex2))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10578,plain,
% 8.26/5.84 (v90(constB11, bitIndex2)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10577, 10576, 9173])).
% 8.26/5.84 tff(10579,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10580,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10581,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10580, 10579])).
% 8.26/5.84 tff(10582,plain,
% 8.26/5.84 (v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10581, 9653, 9169])).
% 8.26/5.84 tff(10583,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10584,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10585,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex0)) | (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 8.26/5.84 tff(10586,plain,
% 8.26/5.84 (v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10585, 9653, 10522])).
% 8.26/5.84 tff(10587,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10588,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10589,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex0)) | (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 8.26/5.84 tff(10590,plain,
% 8.26/5.84 (v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10589, 9653, 10530])).
% 8.26/5.84 tff(10591,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10592,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10593,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex0)) | (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10592, 10591])).
% 8.26/5.84 tff(10594,plain,
% 8.26/5.84 (v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10593, 9653, 10538])).
% 8.26/5.84 tff(10595,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b101(bitIndex0)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10596,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b101(bitIndex0)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10597,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB9, bitIndex0) <=> b101(bitIndex0))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 8.26/5.84 tff(10598,plain,
% 8.26/5.84 (v130(constB9, bitIndex0) <=> b101(bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10597, 9653, 10560])).
% 8.26/5.84 tff(10599,plain,
% 8.26/5.84 (b101(bitIndex0) <=> b101(bitIndex0)),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10600,axiom,(b101(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_15')).
% 8.26/5.84 tff(10601,plain,
% 8.26/5.84 (b101(bitIndex0)),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10600, 10599])).
% 8.26/5.84 tff(10602,plain,
% 8.26/5.84 ((~(v130(constB9, bitIndex0) <=> b101(bitIndex0))) | v130(constB9, bitIndex0) | (~b101(bitIndex0))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10603,plain,
% 8.26/5.84 ((~(v130(constB9, bitIndex0) <=> b101(bitIndex0))) | v130(constB9, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10602, 10601])).
% 8.26/5.84 tff(10604,plain,
% 8.26/5.84 (v130(constB9, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10603, 10598])).
% 8.26/5.84 tff(10605,plain,
% 8.26/5.84 ((~(v127(constB9, bitIndex0) <=> v130(constB9, bitIndex0))) | v127(constB9, bitIndex0) | (~v130(constB9, bitIndex0))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10606,plain,
% 8.26/5.84 (v127(constB9, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10605, 10604, 10594])).
% 8.26/5.84 tff(10607,plain,
% 8.26/5.84 ((~(v129(constB10, bitIndex0) <=> v127(constB9, bitIndex0))) | v129(constB10, bitIndex0) | (~v127(constB9, bitIndex0))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10608,plain,
% 8.26/5.84 (v129(constB10, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10607, 10606, 10590])).
% 8.26/5.84 tff(10609,plain,
% 8.26/5.84 ((~(v90(constB10, bitIndex0) <=> v129(constB10, bitIndex0))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10610,plain,
% 8.26/5.84 (v90(constB10, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10609, 10608, 10586])).
% 8.26/5.84 tff(10611,plain,
% 8.26/5.84 ((~(v90(constB11, bitIndex0) <=> v90(constB10, bitIndex0))) | v90(constB11, bitIndex0) | (~v90(constB10, bitIndex0))),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10612,plain,
% 8.26/5.84 (v90(constB11, bitIndex0)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10611, 10610, 10582])).
% 8.26/5.84 tff(10613,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10614,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10615,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB11, B) <=> v90(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 8.26/5.84 tff(10616,plain,
% 8.26/5.84 (v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10615, 375, 9169])).
% 8.26/5.84 tff(10617,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10618,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | ((~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10619,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v90(constB10, B) <=> v129(constB10, B)))) | (~less_3(bitIndex1)) | (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 8.26/5.84 tff(10620,plain,
% 8.26/5.84 (v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10619, 375, 10522])).
% 8.26/5.84 tff(10621,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10622,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | ((~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10623,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v129(constB10, B) <=> v127(constB9, B)))) | (~less_3(bitIndex1)) | (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 8.26/5.84 tff(10624,plain,
% 8.26/5.84 (v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10623, 375, 10530])).
% 8.26/5.84 tff(10625,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10626,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | ((~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10627,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v127(constB9, B) <=> v130(constB9, B)))) | (~less_3(bitIndex1)) | (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 8.26/5.84 tff(10628,plain,
% 8.26/5.84 (v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10627, 375, 10538])).
% 8.26/5.84 tff(10629,plain,
% 8.26/5.84 (((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b101(bitIndex1)))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10630,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b101(bitIndex1)))),
% 8.26/5.84 inference(quant_inst,[status(thm)],[])).
% 8.26/5.84 tff(10631,plain,
% 8.26/5.84 ((~![B: $i] : ((~less_3(B)) | (v130(constB9, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB9, bitIndex1) <=> b101(bitIndex1))),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10630, 10629])).
% 8.26/5.84 tff(10632,plain,
% 8.26/5.84 (v130(constB9, bitIndex1) <=> b101(bitIndex1)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10631, 375, 10560])).
% 8.26/5.84 tff(10633,plain,
% 8.26/5.84 ((~b101(bitIndex1)) <=> (~b101(bitIndex1))),
% 8.26/5.84 inference(rewrite,[status(thm)],[])).
% 8.26/5.84 tff(10634,axiom,(~b101(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_16')).
% 8.26/5.84 tff(10635,plain,
% 8.26/5.84 (~b101(bitIndex1)),
% 8.26/5.84 inference(modus_ponens,[status(thm)],[10634, 10633])).
% 8.26/5.84 tff(10636,plain,
% 8.26/5.84 ((~(v130(constB9, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB9, bitIndex1)) | b101(bitIndex1)),
% 8.26/5.84 inference(tautology,[status(thm)],[])).
% 8.26/5.84 tff(10637,plain,
% 8.26/5.84 ((~(v130(constB9, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB9, bitIndex1))),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10636, 10635])).
% 8.26/5.84 tff(10638,plain,
% 8.26/5.84 (~v130(constB9, bitIndex1)),
% 8.26/5.84 inference(unit_resolution,[status(thm)],[10637, 10632])).
% 8.26/5.85 tff(10639,plain,
% 8.26/5.85 ((~(v127(constB9, bitIndex1) <=> v130(constB9, bitIndex1))) | (~v127(constB9, bitIndex1)) | v130(constB9, bitIndex1)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10640,plain,
% 8.26/5.85 (~v127(constB9, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10639, 10638, 10628])).
% 8.26/5.85 tff(10641,plain,
% 8.26/5.85 ((~(v129(constB10, bitIndex1) <=> v127(constB9, bitIndex1))) | (~v129(constB10, bitIndex1)) | v127(constB9, bitIndex1)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10642,plain,
% 8.26/5.85 (~v129(constB10, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10641, 10640, 10624])).
% 8.26/5.85 tff(10643,plain,
% 8.26/5.85 ((~(v90(constB10, bitIndex1) <=> v129(constB10, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10644,plain,
% 8.26/5.85 (~v90(constB10, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10643, 10642, 10620])).
% 8.26/5.85 tff(10645,plain,
% 8.26/5.85 ((~(v90(constB11, bitIndex1) <=> v90(constB10, bitIndex1))) | (~v90(constB11, bitIndex1)) | v90(constB10, bitIndex1)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10646,plain,
% 8.26/5.85 (~v90(constB11, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10645, 10644, 10616])).
% 8.26/5.85 tff(10647,plain,
% 8.26/5.85 ((~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))) | (~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10648,plain,
% 8.26/5.85 (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10647, 10646, 10612, 10578])).
% 8.26/5.85 tff(10649,plain,
% 8.26/5.85 ((~(v124(constB11) <=> (~((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))))) | v124(constB11) | ((~v90(constB11, bitIndex2)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10650,plain,
% 8.26/5.85 (v124(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10649, 10648, 9141])).
% 8.26/5.85 tff(10651,plain,
% 8.26/5.85 ((v115(constB11) | v124(constB11)) | (~v124(constB11))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10652,plain,
% 8.26/5.85 (v115(constB11) | v124(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10651, 10650])).
% 8.26/5.85 tff(10653,plain,
% 8.26/5.85 ((~(v114(constB11) <=> (v115(constB11) | v124(constB11)))) | v114(constB11) | (~(v115(constB11) | v124(constB11)))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10654,plain,
% 8.26/5.85 (v114(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10653, 10652, 9134])).
% 8.26/5.85 tff(10655,plain,
% 8.26/5.85 ((v114(constB11) | v125(constB11)) | (~v114(constB11))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10656,plain,
% 8.26/5.85 (v114(constB11) | v125(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10655, 10654])).
% 8.26/5.85 tff(10657,plain,
% 8.26/5.85 ((~(v113(constB11) <=> (v114(constB11) | v125(constB11)))) | v113(constB11) | (~(v114(constB11) | v125(constB11)))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10658,plain,
% 8.26/5.85 (v113(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10657, 10656, 9132])).
% 8.26/5.85 tff(10659,plain,
% 8.26/5.85 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB11)) <=> v111(constB11))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10660,plain,
% 8.26/5.85 ((~v126(constB11)) <=> v111(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10659, 9720])).
% 8.26/5.85 tff(10661,plain,
% 8.26/5.85 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB11) <=> v26(constB11))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10662,plain,
% 8.26/5.85 (v111(constB11) <=> v26(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10661, 9732])).
% 8.26/5.85 tff(10663,plain,
% 8.26/5.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10664,plain,
% 8.26/5.85 (~v26(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10663, 9744])).
% 8.26/5.85 tff(10665,plain,
% 8.26/5.85 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11)) | v26(constB11)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10666,plain,
% 8.26/5.85 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10665, 10664])).
% 8.26/5.85 tff(10667,plain,
% 8.26/5.85 (~v111(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10666, 10662])).
% 8.26/5.85 tff(10668,plain,
% 8.26/5.85 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11) | v111(constB11)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10669,plain,
% 8.26/5.85 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10668, 10667])).
% 8.26/5.85 tff(10670,plain,
% 8.26/5.85 (v126(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10669, 10660])).
% 8.26/5.85 tff(10671,plain,
% 8.26/5.85 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11)) | (~v126(constB11))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10672,plain,
% 8.26/5.85 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10671, 10670])).
% 8.26/5.85 tff(10673,plain,
% 8.26/5.85 (~((~v113(constB11)) | (~v126(constB11)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10672, 10658])).
% 8.26/5.85 tff(10674,plain,
% 8.26/5.85 ((~(v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))) | v112(constB11) | ((~v113(constB11)) | (~v126(constB11)))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10675,plain,
% 8.26/5.85 (v112(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10674, 10673, 9130])).
% 8.26/5.85 tff(10676,plain,
% 8.26/5.85 ((v111(constB11) | v112(constB11)) | (~v112(constB11))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10677,plain,
% 8.26/5.85 (v111(constB11) | v112(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10676, 10675])).
% 8.26/5.85 tff(10678,plain,
% 8.26/5.85 ((~(v108(constB11) <=> (v111(constB11) | v112(constB11)))) | v108(constB11) | (~(v111(constB11) | v112(constB11)))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10679,plain,
% 8.26/5.85 (v108(constB11)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10678, 10677, 9128])).
% 8.26/5.85 tff(10680,plain,
% 8.26/5.85 ((~(v110(constB12) <=> v108(constB11))) | v110(constB12) | (~v108(constB11))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10681,plain,
% 8.26/5.85 (v110(constB12)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10680, 10679, 9126])).
% 8.26/5.85 tff(10682,plain,
% 8.26/5.85 ((~((~v101(constB12)) | (~v110(constB12)))) | (~v101(constB12)) | (~v110(constB12))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10683,plain,
% 8.26/5.85 (~((~v101(constB12)) | (~v110(constB12)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10682, 10681, 9122])).
% 8.26/5.85 tff(10684,plain,
% 8.26/5.85 ((~(v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))) | v100(constB12) | ((~v101(constB12)) | (~v110(constB12)))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10685,plain,
% 8.26/5.85 (v100(constB12)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10684, 10683, 9091])).
% 8.26/5.85 tff(10686,plain,
% 8.26/5.85 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B))))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10687,plain,
% 8.26/5.85 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B))))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10688,plain,
% 8.26/5.85 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10687, 10686])).
% 8.26/5.85 tff(10689,plain,
% 8.26/5.85 ((~v100(constB12)) | ![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10688, 9780])).
% 8.26/5.85 tff(10690,plain,
% 8.26/5.85 (![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10689, 10685])).
% 8.26/5.85 tff(10691,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10692,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10693,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex2)) | (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10692, 10691])).
% 8.26/5.85 tff(10694,plain,
% 8.26/5.85 (v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10693, 648, 10690])).
% 8.26/5.85 tff(10695,plain,
% 8.26/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B))))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10696,plain,
% 8.26/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B))))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10697,plain,
% 8.26/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10696, 10695])).
% 8.26/5.85 tff(10698,plain,
% 8.26/5.85 (![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10697, 9087, 9802])).
% 8.26/5.85 tff(10699,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10700,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10701,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex2)) | (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10700, 10699])).
% 8.26/5.85 tff(10702,plain,
% 8.26/5.85 (v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10701, 648, 10698])).
% 8.26/5.85 tff(10703,plain,
% 8.26/5.85 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB11) | ![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB11) | ![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B))))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10704,plain,
% 8.26/5.85 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB11) | ![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B))))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10705,plain,
% 8.26/5.85 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB11) | ![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 8.26/5.85 tff(10706,plain,
% 8.26/5.85 (![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10705, 9823, 10667])).
% 8.26/5.85 tff(10707,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10708,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10709,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex2)) | (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10708, 10707])).
% 8.26/5.85 tff(10710,plain,
% 8.26/5.85 (v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10709, 648, 10706])).
% 8.26/5.85 tff(10711,plain,
% 8.26/5.85 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))))),
% 8.26/5.85 inference(bind,[status(th)],[])).
% 8.26/5.85 tff(10712,plain,
% 8.26/5.85 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(quant_intro,[status(thm)],[10711])).
% 8.26/5.85 tff(10713,plain,
% 8.26/5.85 (^[VarCurr: $i] : rewrite(((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))))),
% 8.26/5.85 inference(bind,[status(th)],[])).
% 8.26/5.85 tff(10714,plain,
% 8.26/5.85 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(quant_intro,[status(thm)],[10713])).
% 8.26/5.85 tff(10715,plain,
% 8.26/5.85 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(transitivity,[status(thm)],[10714, 10712])).
% 8.26/5.85 tff(10716,plain,
% 8.26/5.85 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10717,plain,
% 8.26/5.85 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b110(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))), ((v124(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B)))) <=> (v124(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))))), rewrite((v124(VarCurr) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B)))) <=> ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))), ((v124(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B)))) <=> ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))))),
% 8.26/5.85 inference(bind,[status(th)],[])).
% 8.26/5.85 tff(10718,plain,
% 8.26/5.85 (![VarCurr: $i] : (v124(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(quant_intro,[status(thm)],[10717])).
% 8.26/5.85 tff(10719,axiom,(![VarCurr: $i] : (v124(VarCurr) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b110(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5')).
% 8.26/5.85 tff(10720,plain,
% 8.26/5.85 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10719, 10718])).
% 8.26/5.85 tff(10721,plain,
% 8.26/5.85 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10720, 10716])).
% 8.26/5.85 tff(10722,plain,(
% 8.26/5.85 ![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(skolemize,[status(sab)],[10721])).
% 8.26/5.85 tff(10723,plain,
% 8.26/5.85 (![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10722, 10715])).
% 8.26/5.85 tff(10724,plain,
% 8.26/5.85 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B))))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10725,plain,
% 8.26/5.85 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B))))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10726,plain,
% 8.26/5.85 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 8.26/5.85 tff(10727,plain,
% 8.26/5.85 ((~v124(constB11)) | ![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10726, 10723])).
% 8.26/5.85 tff(10728,plain,
% 8.26/5.85 (![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10727, 10650])).
% 8.26/5.85 tff(10729,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b110(bitIndex2)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10730,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b110(bitIndex2)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10731,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB11, bitIndex2) <=> b110(bitIndex2))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10730, 10729])).
% 8.26/5.85 tff(10732,plain,
% 8.26/5.85 (v130(constB11, bitIndex2) <=> b110(bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10731, 648, 10728])).
% 8.26/5.85 tff(10733,plain,
% 8.26/5.85 (b110(bitIndex2) <=> b110(bitIndex2)),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10734,axiom,(b110(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_20')).
% 8.26/5.85 tff(10735,plain,
% 8.26/5.85 (b110(bitIndex2)),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10734, 10733])).
% 8.26/5.85 tff(10736,plain,
% 8.26/5.85 ((~(v130(constB11, bitIndex2) <=> b110(bitIndex2))) | v130(constB11, bitIndex2) | (~b110(bitIndex2))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10737,plain,
% 8.26/5.85 ((~(v130(constB11, bitIndex2) <=> b110(bitIndex2))) | v130(constB11, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10736, 10735])).
% 8.26/5.85 tff(10738,plain,
% 8.26/5.85 (v130(constB11, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10737, 10732])).
% 8.26/5.85 tff(10739,plain,
% 8.26/5.85 ((~(v127(constB11, bitIndex2) <=> v130(constB11, bitIndex2))) | v127(constB11, bitIndex2) | (~v130(constB11, bitIndex2))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10740,plain,
% 8.26/5.85 (v127(constB11, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10739, 10738, 10710])).
% 8.26/5.85 tff(10741,plain,
% 8.26/5.85 ((~(v129(constB12, bitIndex2) <=> v127(constB11, bitIndex2))) | v129(constB12, bitIndex2) | (~v127(constB11, bitIndex2))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10742,plain,
% 8.26/5.85 (v129(constB12, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10741, 10740, 10702])).
% 8.26/5.85 tff(10743,plain,
% 8.26/5.85 ((~(v90(constB12, bitIndex2) <=> v129(constB12, bitIndex2))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10744,plain,
% 8.26/5.85 (v90(constB12, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10743, 10742, 10694])).
% 8.26/5.85 tff(10745,plain,
% 8.26/5.85 ((~(v90(constB13, bitIndex2) <=> v90(constB12, bitIndex2))) | v90(constB13, bitIndex2) | (~v90(constB12, bitIndex2))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10746,plain,
% 8.26/5.85 (v90(constB13, bitIndex2)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10745, 10744, 9084])).
% 8.26/5.85 tff(10747,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10748,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10749,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10748, 10747])).
% 8.26/5.85 tff(10750,plain,
% 8.26/5.85 (v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10749, 9653, 9080])).
% 8.26/5.85 tff(10751,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10752,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10753,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex0)) | (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10752, 10751])).
% 8.26/5.85 tff(10754,plain,
% 8.26/5.85 (v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10753, 9653, 10690])).
% 8.26/5.85 tff(10755,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10756,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10757,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex0)) | (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10756, 10755])).
% 8.26/5.85 tff(10758,plain,
% 8.26/5.85 (v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10757, 9653, 10698])).
% 8.26/5.85 tff(10759,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10760,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10761,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex0)) | (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10760, 10759])).
% 8.26/5.85 tff(10762,plain,
% 8.26/5.85 (v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10761, 9653, 10706])).
% 8.26/5.85 tff(10763,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b110(bitIndex0)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10764,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b110(bitIndex0)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10765,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB11, bitIndex0) <=> b110(bitIndex0))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10764, 10763])).
% 8.26/5.85 tff(10766,plain,
% 8.26/5.85 (v130(constB11, bitIndex0) <=> b110(bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10765, 9653, 10728])).
% 8.26/5.85 tff(10767,plain,
% 8.26/5.85 ((~b110(bitIndex0)) <=> (~b110(bitIndex0))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10768,axiom,(~b110(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_18')).
% 8.26/5.85 tff(10769,plain,
% 8.26/5.85 (~b110(bitIndex0)),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10768, 10767])).
% 8.26/5.85 tff(10770,plain,
% 8.26/5.85 ((~(v130(constB11, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB11, bitIndex0)) | b110(bitIndex0)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10771,plain,
% 8.26/5.85 ((~(v130(constB11, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB11, bitIndex0))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10770, 10769])).
% 8.26/5.85 tff(10772,plain,
% 8.26/5.85 (~v130(constB11, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10771, 10766])).
% 8.26/5.85 tff(10773,plain,
% 8.26/5.85 ((~(v127(constB11, bitIndex0) <=> v130(constB11, bitIndex0))) | (~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10774,plain,
% 8.26/5.85 (~v127(constB11, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10773, 10772, 10762])).
% 8.26/5.85 tff(10775,plain,
% 8.26/5.85 ((~(v129(constB12, bitIndex0) <=> v127(constB11, bitIndex0))) | (~v129(constB12, bitIndex0)) | v127(constB11, bitIndex0)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10776,plain,
% 8.26/5.85 (~v129(constB12, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10775, 10774, 10758])).
% 8.26/5.85 tff(10777,plain,
% 8.26/5.85 ((~(v90(constB12, bitIndex0) <=> v129(constB12, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10778,plain,
% 8.26/5.85 (~v90(constB12, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10777, 10776, 10754])).
% 8.26/5.85 tff(10779,plain,
% 8.26/5.85 ((~(v90(constB13, bitIndex0) <=> v90(constB12, bitIndex0))) | (~v90(constB13, bitIndex0)) | v90(constB12, bitIndex0)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10780,plain,
% 8.26/5.85 (~v90(constB13, bitIndex0)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10779, 10778, 10750])).
% 8.26/5.85 tff(10781,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10782,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10783,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB13, B) <=> v90(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10782, 10781])).
% 8.26/5.85 tff(10784,plain,
% 8.26/5.85 (v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10783, 375, 9080])).
% 8.26/5.85 tff(10785,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10786,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | ((~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10787,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v90(constB12, B) <=> v129(constB12, B)))) | (~less_3(bitIndex1)) | (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 8.26/5.85 tff(10788,plain,
% 8.26/5.85 (v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10787, 375, 10690])).
% 8.26/5.85 tff(10789,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10790,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | ((~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10791,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v129(constB12, B) <=> v127(constB11, B)))) | (~less_3(bitIndex1)) | (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10790, 10789])).
% 8.26/5.85 tff(10792,plain,
% 8.26/5.85 (v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10791, 375, 10698])).
% 8.26/5.85 tff(10793,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10794,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | ((~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10795,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v127(constB11, B) <=> v130(constB11, B)))) | (~less_3(bitIndex1)) | (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10794, 10793])).
% 8.26/5.85 tff(10796,plain,
% 8.26/5.85 (v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10795, 375, 10706])).
% 8.26/5.85 tff(10797,plain,
% 8.26/5.85 (((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b110(bitIndex1)))),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10798,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b110(bitIndex1)))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10799,plain,
% 8.26/5.85 ((~![B: $i] : ((~less_3(B)) | (v130(constB11, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB11, bitIndex1) <=> b110(bitIndex1))),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 8.26/5.85 tff(10800,plain,
% 8.26/5.85 (v130(constB11, bitIndex1) <=> b110(bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10799, 375, 10728])).
% 8.26/5.85 tff(10801,plain,
% 8.26/5.85 (b110(bitIndex1) <=> b110(bitIndex1)),
% 8.26/5.85 inference(rewrite,[status(thm)],[])).
% 8.26/5.85 tff(10802,axiom,(b110(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_19')).
% 8.26/5.85 tff(10803,plain,
% 8.26/5.85 (b110(bitIndex1)),
% 8.26/5.85 inference(modus_ponens,[status(thm)],[10802, 10801])).
% 8.26/5.85 tff(10804,plain,
% 8.26/5.85 ((~(v130(constB11, bitIndex1) <=> b110(bitIndex1))) | v130(constB11, bitIndex1) | (~b110(bitIndex1))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10805,plain,
% 8.26/5.85 ((~(v130(constB11, bitIndex1) <=> b110(bitIndex1))) | v130(constB11, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10804, 10803])).
% 8.26/5.85 tff(10806,plain,
% 8.26/5.85 (v130(constB11, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10805, 10800])).
% 8.26/5.85 tff(10807,plain,
% 8.26/5.85 ((~(v127(constB11, bitIndex1) <=> v130(constB11, bitIndex1))) | v127(constB11, bitIndex1) | (~v130(constB11, bitIndex1))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10808,plain,
% 8.26/5.85 (v127(constB11, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10807, 10806, 10796])).
% 8.26/5.85 tff(10809,plain,
% 8.26/5.85 ((~(v129(constB12, bitIndex1) <=> v127(constB11, bitIndex1))) | v129(constB12, bitIndex1) | (~v127(constB11, bitIndex1))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10810,plain,
% 8.26/5.85 (v129(constB12, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10809, 10808, 10792])).
% 8.26/5.85 tff(10811,plain,
% 8.26/5.85 ((~(v90(constB12, bitIndex1) <=> v129(constB12, bitIndex1))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10812,plain,
% 8.26/5.85 (v90(constB12, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10811, 10810, 10788])).
% 8.26/5.85 tff(10813,plain,
% 8.26/5.85 ((~(v90(constB13, bitIndex1) <=> v90(constB12, bitIndex1))) | v90(constB13, bitIndex1) | (~v90(constB12, bitIndex1))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10814,plain,
% 8.26/5.85 (v90(constB13, bitIndex1)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10813, 10812, 10784])).
% 8.26/5.85 tff(10815,plain,
% 8.26/5.85 ((~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10816,plain,
% 8.26/5.85 (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10815, 10814, 10780, 10746])).
% 8.26/5.85 tff(10817,plain,
% 8.26/5.85 ((~(v125(constB13) <=> (~((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))) | v125(constB13) | ((~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10818,plain,
% 8.26/5.85 (v125(constB13)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10817, 10816, 9052])).
% 8.26/5.85 tff(10819,plain,
% 8.26/5.85 ((v114(constB13) | v125(constB13)) | (~v125(constB13))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10820,plain,
% 8.26/5.85 (v114(constB13) | v125(constB13)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10819, 10818])).
% 8.26/5.85 tff(10821,plain,
% 8.26/5.85 ((~(v113(constB13) <=> (v114(constB13) | v125(constB13)))) | v113(constB13) | (~(v114(constB13) | v125(constB13)))),
% 8.26/5.85 inference(tautology,[status(thm)],[])).
% 8.26/5.85 tff(10822,plain,
% 8.26/5.85 (v113(constB13)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10821, 10820, 9045])).
% 8.26/5.85 tff(10823,plain,
% 8.26/5.85 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB13)) <=> v111(constB13))),
% 8.26/5.85 inference(quant_inst,[status(thm)],[])).
% 8.26/5.85 tff(10824,plain,
% 8.26/5.85 ((~v126(constB13)) <=> v111(constB13)),
% 8.26/5.85 inference(unit_resolution,[status(thm)],[10823, 9720])).
% 8.26/5.86 tff(10825,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB13) <=> v26(constB13))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10826,plain,
% 8.26/5.86 (v111(constB13) <=> v26(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10825, 9732])).
% 8.26/5.86 tff(10827,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10828,plain,
% 8.26/5.86 (~v26(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10827, 9744])).
% 8.26/5.86 tff(10829,plain,
% 8.26/5.86 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13)) | v26(constB13)),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10830,plain,
% 8.26/5.86 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10829, 10828])).
% 8.26/5.86 tff(10831,plain,
% 8.26/5.86 (~v111(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10830, 10826])).
% 8.26/5.86 tff(10832,plain,
% 8.26/5.86 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13) | v111(constB13)),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10833,plain,
% 8.26/5.86 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10832, 10831])).
% 8.26/5.86 tff(10834,plain,
% 8.26/5.86 (v126(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10833, 10824])).
% 8.26/5.86 tff(10835,plain,
% 8.26/5.86 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13)) | (~v126(constB13))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10836,plain,
% 8.26/5.86 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10835, 10834])).
% 8.26/5.86 tff(10837,plain,
% 8.26/5.86 (~((~v113(constB13)) | (~v126(constB13)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10836, 10822])).
% 8.26/5.86 tff(10838,plain,
% 8.26/5.86 ((~(v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))) | v112(constB13) | ((~v113(constB13)) | (~v126(constB13)))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10839,plain,
% 8.26/5.86 (v112(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10838, 10837, 9043])).
% 8.26/5.86 tff(10840,plain,
% 8.26/5.86 ((v111(constB13) | v112(constB13)) | (~v112(constB13))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10841,plain,
% 8.26/5.86 (v111(constB13) | v112(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10840, 10839])).
% 8.26/5.86 tff(10842,plain,
% 8.26/5.86 ((~(v108(constB13) <=> (v111(constB13) | v112(constB13)))) | v108(constB13) | (~(v111(constB13) | v112(constB13)))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10843,plain,
% 8.26/5.86 (v108(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10842, 10841, 9041])).
% 8.26/5.86 tff(10844,plain,
% 8.26/5.86 ((~(v110(constB14) <=> v108(constB13))) | v110(constB14) | (~v108(constB13))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10845,plain,
% 8.26/5.86 (v110(constB14)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10844, 10843, 9039])).
% 8.26/5.86 tff(10846,plain,
% 8.26/5.86 ((~((~v101(constB14)) | (~v110(constB14)))) | (~v101(constB14)) | (~v110(constB14))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10847,plain,
% 8.26/5.86 (~((~v101(constB14)) | (~v110(constB14)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10846, 10845, 9035])).
% 8.26/5.86 tff(10848,plain,
% 8.26/5.86 ((~(v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))) | v100(constB14) | ((~v101(constB14)) | (~v110(constB14)))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10849,plain,
% 8.26/5.86 (v100(constB14)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10848, 10847, 9004])).
% 8.26/5.86 tff(10850,plain,
% 8.26/5.86 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10851,plain,
% 8.26/5.86 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10852,plain,
% 8.26/5.86 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10851, 10850])).
% 8.26/5.86 tff(10853,plain,
% 8.26/5.86 ((~v100(constB14)) | ![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10852, 9780])).
% 8.26/5.86 tff(10854,plain,
% 8.26/5.86 (![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10853, 10849])).
% 8.26/5.86 tff(10855,plain,
% 8.26/5.86 (((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10856,plain,
% 8.26/5.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10857,plain,
% 8.26/5.86 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex2)) | (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10856, 10855])).
% 8.26/5.86 tff(10858,plain,
% 8.26/5.86 (v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10857, 648, 10854])).
% 8.26/5.86 tff(10859,plain,
% 8.26/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10860,plain,
% 8.26/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10861,plain,
% 8.26/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10860, 10859])).
% 8.26/5.86 tff(10862,plain,
% 8.26/5.86 (![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10861, 9000, 9802])).
% 8.26/5.86 tff(10863,plain,
% 8.26/5.86 (((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10864,plain,
% 8.26/5.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10865,plain,
% 8.26/5.86 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex2)) | (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10864, 10863])).
% 8.26/5.86 tff(10866,plain,
% 8.26/5.86 (v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10865, 648, 10862])).
% 8.26/5.86 tff(10867,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB13) | ![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB13) | ![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10868,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB13) | ![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10869,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB13) | ![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10868, 10867])).
% 8.26/5.86 tff(10870,plain,
% 8.26/5.86 (![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10869, 9823, 10831])).
% 8.26/5.86 tff(10871,plain,
% 8.26/5.86 (((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10872,plain,
% 8.26/5.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10873,plain,
% 8.26/5.86 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex2)) | (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10872, 10871])).
% 8.26/5.86 tff(10874,plain,
% 8.26/5.86 (v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10873, 648, 10870])).
% 8.26/5.86 tff(10875,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10876,plain,
% 8.26/5.86 (v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10875, 9620])).
% 8.26/5.86 tff(10877,plain,
% 8.26/5.86 ((v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex2))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10878,plain,
% 8.26/5.86 (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10877, 10746])).
% 8.26/5.86 tff(10879,plain,
% 8.26/5.86 ((~(v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2))))) | (~v119(constB13)) | (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10880,plain,
% 8.26/5.86 (~v119(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10879, 10878, 10876])).
% 8.26/5.86 tff(10881,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10882,plain,
% 8.26/5.86 ((v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2))))) <=> (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10883,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(monotonicity,[status(thm)],[10882])).
% 8.26/5.86 tff(10884,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(transitivity,[status(thm)],[10883, 10881])).
% 8.26/5.86 tff(10885,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2)))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10886,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10885, 10884])).
% 8.26/5.86 tff(10887,plain,
% 8.26/5.86 (v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10886, 815])).
% 8.26/5.86 tff(10888,plain,
% 8.26/5.86 (((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex1))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10889,plain,
% 8.26/5.86 ((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10888, 10814])).
% 8.26/5.86 tff(10890,plain,
% 8.26/5.86 ((~(v124(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))) | (~v124(constB13)) | (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10891,plain,
% 8.26/5.86 (~v124(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10890, 10889, 10887])).
% 8.26/5.86 tff(10892,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10893,plain,
% 8.26/5.86 ((v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2))))) <=> (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10894,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(monotonicity,[status(thm)],[10893])).
% 8.26/5.86 tff(10895,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(transitivity,[status(thm)],[10894, 10892])).
% 8.26/5.86 tff(10896,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10897,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10896, 10895])).
% 8.26/5.86 tff(10898,plain,
% 8.26/5.86 (v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10897, 919])).
% 8.26/5.86 tff(10899,plain,
% 8.26/5.86 (((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10900,plain,
% 8.26/5.86 ((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10899, 10814])).
% 8.26/5.86 tff(10901,plain,
% 8.26/5.86 ((~(v123(constB13) <=> (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0))))) | (~v123(constB13)) | (~((~v90(constB13, bitIndex2)) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0)))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10902,plain,
% 8.26/5.86 (~v123(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10901, 10900, 10898])).
% 8.26/5.86 tff(10903,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10904,plain,
% 8.26/5.86 ((v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1))))) <=> (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10905,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(monotonicity,[status(thm)],[10904])).
% 8.26/5.86 tff(10906,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(transitivity,[status(thm)],[10905, 10903])).
% 8.26/5.86 tff(10907,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1)))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10908,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10907, 10906])).
% 8.26/5.86 tff(10909,plain,
% 8.26/5.86 (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10908, 1025])).
% 8.26/5.86 tff(10910,plain,
% 8.26/5.86 ((v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10911,plain,
% 8.26/5.86 (v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10910, 10746])).
% 8.26/5.86 tff(10912,plain,
% 8.26/5.86 ((~(v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))) | (~v122(constB13)) | (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10913,plain,
% 8.26/5.86 (~v122(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10912, 10911, 10909])).
% 8.26/5.86 tff(10914,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10915,plain,
% 8.26/5.86 ((v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1))))) <=> (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10916,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(monotonicity,[status(thm)],[10915])).
% 8.26/5.86 tff(10917,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(transitivity,[status(thm)],[10916, 10914])).
% 8.26/5.86 tff(10918,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10919,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10918, 10917])).
% 8.26/5.86 tff(10920,plain,
% 8.26/5.86 (v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10919, 1133])).
% 8.26/5.86 tff(10921,plain,
% 8.26/5.86 ((v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10922,plain,
% 8.26/5.86 (v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10921, 10746])).
% 8.26/5.86 tff(10923,plain,
% 8.26/5.86 ((~(v121(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0))))) | (~v121(constB13)) | (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | v90(constB13, bitIndex0)))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10924,plain,
% 8.26/5.86 (~v121(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10923, 10922, 10920])).
% 8.26/5.86 tff(10925,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10926,plain,
% 8.26/5.86 ((v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0))))) <=> (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10927,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(monotonicity,[status(thm)],[10926])).
% 8.26/5.86 tff(10928,plain,
% 8.26/5.86 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))))),
% 8.26/5.86 inference(transitivity,[status(thm)],[10927, 10925])).
% 8.26/5.86 tff(10929,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(quant_inst,[status(thm)],[])).
% 8.26/5.86 tff(10930,plain,
% 8.26/5.86 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))),
% 8.26/5.86 inference(modus_ponens,[status(thm)],[10929, 10928])).
% 8.26/5.86 tff(10931,plain,
% 8.26/5.86 (v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10930, 610])).
% 8.26/5.86 tff(10932,plain,
% 8.26/5.86 ((v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10933,plain,
% 8.26/5.86 (v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10932, 10746])).
% 8.26/5.86 tff(10934,plain,
% 8.26/5.86 ((~(v120(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)))))) | (~v120(constB13)) | (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0))))),
% 8.26/5.86 inference(tautology,[status(thm)],[])).
% 8.26/5.86 tff(10935,plain,
% 8.26/5.86 (~v120(constB13)),
% 8.26/5.86 inference(unit_resolution,[status(thm)],[10934, 10933, 10931])).
% 8.26/5.86 tff(10936,plain,
% 8.26/5.86 (^[VarCurr: $i] : refl((v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))),
% 8.26/5.86 inference(bind,[status(th)],[])).
% 8.26/5.86 tff(10937,plain,
% 8.26/5.86 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.86 inference(quant_intro,[status(thm)],[10936])).
% 8.26/5.86 tff(10938,plain,
% 8.26/5.86 (^[VarCurr: $i] : rewrite((v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))),
% 8.26/5.86 inference(bind,[status(th)],[])).
% 8.26/5.86 tff(10939,plain,
% 8.26/5.86 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.86 inference(quant_intro,[status(thm)],[10938])).
% 8.26/5.86 tff(10940,plain,
% 8.26/5.86 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.86 inference(transitivity,[status(thm)],[10939, 10937])).
% 8.26/5.86 tff(10941,plain,
% 8.26/5.86 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) <=> (~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) <=> (~(~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))))), rewrite((~(~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), (((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))))),
% 8.26/5.86 inference(bind,[status(th)],[])).
% 8.26/5.86 tff(10942,plain,
% 8.26/5.86 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.86 inference(quant_intro,[status(thm)],[10941])).
% 8.26/5.86 tff(10943,plain,
% 8.26/5.86 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.86 inference(rewrite,[status(thm)],[])).
% 8.26/5.86 tff(10944,plain,
% 8.26/5.86 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)))), (((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr))) & (~v122(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)))), (((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))))), ((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))) & (~v123(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)))), ((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))))), (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))) & (~v124(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))), (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))))), quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v130(VarCurr, B) <=> b001(B))) <=> ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), (![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B))) <=> ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), ((((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) => ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B)))) <=> ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))), ((((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))))),
% 8.26/5.87 inference(bind,[status(th)],[])).
% 8.26/5.87 tff(10945,plain,
% 8.26/5.87 (![VarCurr: $i] : (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.87 inference(quant_intro,[status(thm)],[10944])).
% 8.26/5.87 tff(10946,axiom,(![VarCurr: $i] : (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => ![B: $i] : (less_3(B) => (v130(VarCurr, B) <=> b001(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6')).
% 8.26/5.87 tff(10947,plain,
% 8.26/5.87 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10946, 10945])).
% 8.26/5.87 tff(10948,plain,
% 8.26/5.87 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10947, 10943])).
% 8.26/5.87 tff(10949,plain,(
% 8.26/5.87 ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.87 inference(skolemize,[status(sab)],[10948])).
% 8.26/5.87 tff(10950,plain,
% 8.26/5.87 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10949, 10942])).
% 8.26/5.87 tff(10951,plain,
% 8.26/5.87 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10950, 10940])).
% 8.26/5.87 tff(10952,plain,
% 8.26/5.87 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B))))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(10953,plain,
% 8.26/5.87 ((v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) <=> (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B))))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(10954,plain,
% 8.26/5.87 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))))),
% 8.26/5.87 inference(monotonicity,[status(thm)],[10953])).
% 8.26/5.87 tff(10955,plain,
% 8.26/5.87 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B))))),
% 8.26/5.87 inference(transitivity,[status(thm)],[10954, 10952])).
% 8.26/5.87 tff(10956,plain,
% 8.26/5.87 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B))))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(10957,plain,
% 8.26/5.87 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10956, 10955])).
% 8.26/5.87 tff(10958,plain,
% 8.26/5.87 (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | ![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10957, 10951])).
% 8.26/5.87 tff(10959,plain,
% 8.26/5.87 (![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10958, 10935, 10924, 10913, 10902, 10891, 10880])).
% 8.26/5.87 tff(10960,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b001(bitIndex2)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(10961,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b001(bitIndex2)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(10962,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB13, bitIndex2) <=> b001(bitIndex2))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10961, 10960])).
% 8.26/5.87 tff(10963,plain,
% 8.26/5.87 (v130(constB13, bitIndex2) <=> b001(bitIndex2)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10962, 648, 10959])).
% 8.26/5.87 tff(10964,plain,
% 8.26/5.87 ((~(v130(constB13, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB13, bitIndex2)) | b001(bitIndex2)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(10965,plain,
% 8.26/5.87 ((~(v130(constB13, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB13, bitIndex2))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10964, 9855])).
% 8.26/5.87 tff(10966,plain,
% 8.26/5.87 (~v130(constB13, bitIndex2)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10965, 10963])).
% 8.26/5.87 tff(10967,plain,
% 8.26/5.87 ((~(v127(constB13, bitIndex2) <=> v130(constB13, bitIndex2))) | (~v127(constB13, bitIndex2)) | v130(constB13, bitIndex2)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(10968,plain,
% 8.26/5.87 (~v127(constB13, bitIndex2)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10967, 10966, 10874])).
% 8.26/5.87 tff(10969,plain,
% 8.26/5.87 ((~(v129(constB14, bitIndex2) <=> v127(constB13, bitIndex2))) | (~v129(constB14, bitIndex2)) | v127(constB13, bitIndex2)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(10970,plain,
% 8.26/5.87 (~v129(constB14, bitIndex2)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10969, 10968, 10866])).
% 8.26/5.87 tff(10971,plain,
% 8.26/5.87 ((~(v90(constB14, bitIndex2) <=> v129(constB14, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(10972,plain,
% 8.26/5.87 (~v90(constB14, bitIndex2)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10971, 10970, 10858])).
% 8.26/5.87 tff(10973,plain,
% 8.26/5.87 ((~(v90(constB15, bitIndex2) <=> v90(constB14, bitIndex2))) | (~v90(constB15, bitIndex2)) | v90(constB14, bitIndex2)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(10974,plain,
% 8.26/5.87 (~v90(constB15, bitIndex2)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10973, 10972, 8997])).
% 8.26/5.87 tff(10975,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(10976,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(10977,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10976, 10975])).
% 8.26/5.87 tff(10978,plain,
% 8.26/5.87 (v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10977, 9653, 8993])).
% 8.26/5.87 tff(10979,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(10980,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(10981,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex0)) | (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10980, 10979])).
% 8.26/5.87 tff(10982,plain,
% 8.26/5.87 (v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10981, 9653, 10854])).
% 8.26/5.87 tff(10983,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(10984,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(10985,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex0)) | (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10984, 10983])).
% 8.26/5.87 tff(10986,plain,
% 8.26/5.87 (v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10985, 9653, 10862])).
% 8.26/5.87 tff(10987,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(10988,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(10989,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex0)) | (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10988, 10987])).
% 8.26/5.87 tff(10990,plain,
% 8.26/5.87 (v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10989, 9653, 10870])).
% 8.26/5.87 tff(10991,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b001(bitIndex0)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(10992,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b001(bitIndex0)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(10993,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB13, bitIndex0) <=> b001(bitIndex0))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[10992, 10991])).
% 8.26/5.87 tff(10994,plain,
% 8.26/5.87 (v130(constB13, bitIndex0) <=> b001(bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10993, 9653, 10959])).
% 8.26/5.87 tff(10995,plain,
% 8.26/5.87 ((~(v130(constB13, bitIndex0) <=> b001(bitIndex0))) | v130(constB13, bitIndex0) | (~b001(bitIndex0))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(10996,plain,
% 8.26/5.87 ((~(v130(constB13, bitIndex0) <=> b001(bitIndex0))) | v130(constB13, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10995, 9889])).
% 8.26/5.87 tff(10997,plain,
% 8.26/5.87 (v130(constB13, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10996, 10994])).
% 8.26/5.87 tff(10998,plain,
% 8.26/5.87 ((~(v127(constB13, bitIndex0) <=> v130(constB13, bitIndex0))) | v127(constB13, bitIndex0) | (~v130(constB13, bitIndex0))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(10999,plain,
% 8.26/5.87 (v127(constB13, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[10998, 10997, 10990])).
% 8.26/5.87 tff(11000,plain,
% 8.26/5.87 ((~(v129(constB14, bitIndex0) <=> v127(constB13, bitIndex0))) | v129(constB14, bitIndex0) | (~v127(constB13, bitIndex0))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11001,plain,
% 8.26/5.87 (v129(constB14, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11000, 10999, 10986])).
% 8.26/5.87 tff(11002,plain,
% 8.26/5.87 ((~(v90(constB14, bitIndex0) <=> v129(constB14, bitIndex0))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11003,plain,
% 8.26/5.87 (v90(constB14, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11002, 11001, 10982])).
% 8.26/5.87 tff(11004,plain,
% 8.26/5.87 ((~(v90(constB15, bitIndex0) <=> v90(constB14, bitIndex0))) | v90(constB15, bitIndex0) | (~v90(constB14, bitIndex0))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11005,plain,
% 8.26/5.87 (v90(constB15, bitIndex0)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11004, 11003, 10978])).
% 8.26/5.87 tff(11006,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(11007,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11008,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB15, B) <=> v90(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 8.26/5.87 tff(11009,plain,
% 8.26/5.87 (v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11008, 375, 8993])).
% 8.26/5.87 tff(11010,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(11011,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | ((~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11012,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB14, B) <=> v129(constB14, B)))) | (~less_3(bitIndex1)) | (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[11011, 11010])).
% 8.26/5.87 tff(11013,plain,
% 8.26/5.87 (v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11012, 375, 10854])).
% 8.26/5.87 tff(11014,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(11015,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | ((~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11016,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v129(constB14, B) <=> v127(constB13, B)))) | (~less_3(bitIndex1)) | (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[11015, 11014])).
% 8.26/5.87 tff(11017,plain,
% 8.26/5.87 (v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11016, 375, 10862])).
% 8.26/5.87 tff(11018,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(11019,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | ((~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11020,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v127(constB13, B) <=> v130(constB13, B)))) | (~less_3(bitIndex1)) | (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[11019, 11018])).
% 8.26/5.87 tff(11021,plain,
% 8.26/5.87 (v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11020, 375, 10870])).
% 8.26/5.87 tff(11022,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b001(bitIndex1)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(11023,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b001(bitIndex1)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11024,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v130(constB13, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB13, bitIndex1) <=> b001(bitIndex1))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[11023, 11022])).
% 8.26/5.87 tff(11025,plain,
% 8.26/5.87 (v130(constB13, bitIndex1) <=> b001(bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11024, 375, 10959])).
% 8.26/5.87 tff(11026,plain,
% 8.26/5.87 ((~(v130(constB13, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB13, bitIndex1)) | b001(bitIndex1)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11027,plain,
% 8.26/5.87 ((~(v130(constB13, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB13, bitIndex1))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11026, 9923])).
% 8.26/5.87 tff(11028,plain,
% 8.26/5.87 (~v130(constB13, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11027, 11025])).
% 8.26/5.87 tff(11029,plain,
% 8.26/5.87 ((~(v127(constB13, bitIndex1) <=> v130(constB13, bitIndex1))) | (~v127(constB13, bitIndex1)) | v130(constB13, bitIndex1)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11030,plain,
% 8.26/5.87 (~v127(constB13, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11029, 11028, 11021])).
% 8.26/5.87 tff(11031,plain,
% 8.26/5.87 ((~(v129(constB14, bitIndex1) <=> v127(constB13, bitIndex1))) | (~v129(constB14, bitIndex1)) | v127(constB13, bitIndex1)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11032,plain,
% 8.26/5.87 (~v129(constB14, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11031, 11030, 11017])).
% 8.26/5.87 tff(11033,plain,
% 8.26/5.87 ((~(v90(constB14, bitIndex1) <=> v129(constB14, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11034,plain,
% 8.26/5.87 (~v90(constB14, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11033, 11032, 11013])).
% 8.26/5.87 tff(11035,plain,
% 8.26/5.87 ((~(v90(constB15, bitIndex1) <=> v90(constB14, bitIndex1))) | (~v90(constB15, bitIndex1)) | v90(constB14, bitIndex1)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11036,plain,
% 8.26/5.87 (~v90(constB15, bitIndex1)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11035, 11034, 11009])).
% 8.26/5.87 tff(11037,plain,
% 8.26/5.87 ((~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))) | v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11038,plain,
% 8.26/5.87 (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11037, 11036, 11005, 10974])).
% 8.26/5.87 tff(11039,plain,
% 8.26/5.87 ((~(v120(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))))) | v120(constB15) | (v90(constB15, bitIndex2) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11040,plain,
% 8.26/5.87 (v120(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11039, 11038, 8965])).
% 8.26/5.87 tff(11041,plain,
% 8.26/5.87 ((v119(constB15) | v120(constB15)) | (~v120(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11042,plain,
% 8.26/5.87 (v119(constB15) | v120(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11041, 11040])).
% 8.26/5.87 tff(11043,plain,
% 8.26/5.87 ((~(v118(constB15) <=> (v119(constB15) | v120(constB15)))) | v118(constB15) | (~(v119(constB15) | v120(constB15)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11044,plain,
% 8.26/5.87 (v118(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11043, 11042, 8958])).
% 8.26/5.87 tff(11045,plain,
% 8.26/5.87 ((v118(constB15) | v121(constB15)) | (~v118(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11046,plain,
% 8.26/5.87 (v118(constB15) | v121(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11045, 11044])).
% 8.26/5.87 tff(11047,plain,
% 8.26/5.87 ((~(v117(constB15) <=> (v118(constB15) | v121(constB15)))) | v117(constB15) | (~(v118(constB15) | v121(constB15)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11048,plain,
% 8.26/5.87 (v117(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11047, 11046, 8956])).
% 8.26/5.87 tff(11049,plain,
% 8.26/5.87 ((v117(constB15) | v122(constB15)) | (~v117(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11050,plain,
% 8.26/5.87 (v117(constB15) | v122(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11049, 11048])).
% 8.26/5.87 tff(11051,plain,
% 8.26/5.87 ((~(v116(constB15) <=> (v117(constB15) | v122(constB15)))) | v116(constB15) | (~(v117(constB15) | v122(constB15)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11052,plain,
% 8.26/5.87 (v116(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11051, 11050, 8954])).
% 8.26/5.87 tff(11053,plain,
% 8.26/5.87 ((v116(constB15) | v123(constB15)) | (~v116(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11054,plain,
% 8.26/5.87 (v116(constB15) | v123(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11053, 11052])).
% 8.26/5.87 tff(11055,plain,
% 8.26/5.87 ((~(v115(constB15) <=> (v116(constB15) | v123(constB15)))) | v115(constB15) | (~(v116(constB15) | v123(constB15)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11056,plain,
% 8.26/5.87 (v115(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11055, 11054, 8952])).
% 8.26/5.87 tff(11057,plain,
% 8.26/5.87 ((v115(constB15) | v124(constB15)) | (~v115(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11058,plain,
% 8.26/5.87 (v115(constB15) | v124(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11057, 11056])).
% 8.26/5.87 tff(11059,plain,
% 8.26/5.87 ((~(v114(constB15) <=> (v115(constB15) | v124(constB15)))) | v114(constB15) | (~(v115(constB15) | v124(constB15)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11060,plain,
% 8.26/5.87 (v114(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11059, 11058, 8950])).
% 8.26/5.87 tff(11061,plain,
% 8.26/5.87 ((v114(constB15) | v125(constB15)) | (~v114(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11062,plain,
% 8.26/5.87 (v114(constB15) | v125(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11061, 11060])).
% 8.26/5.87 tff(11063,plain,
% 8.26/5.87 ((~(v113(constB15) <=> (v114(constB15) | v125(constB15)))) | v113(constB15) | (~(v114(constB15) | v125(constB15)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11064,plain,
% 8.26/5.87 (v113(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11063, 11062, 8948])).
% 8.26/5.87 tff(11065,plain,
% 8.26/5.87 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB15)) <=> v111(constB15))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11066,plain,
% 8.26/5.87 ((~v126(constB15)) <=> v111(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11065, 9720])).
% 8.26/5.87 tff(11067,plain,
% 8.26/5.87 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB15) <=> v26(constB15))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11068,plain,
% 8.26/5.87 (v111(constB15) <=> v26(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11067, 9732])).
% 8.26/5.87 tff(11069,plain,
% 8.26/5.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11070,plain,
% 8.26/5.87 (~v26(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11069, 9744])).
% 8.26/5.87 tff(11071,plain,
% 8.26/5.87 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15)) | v26(constB15)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11072,plain,
% 8.26/5.87 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11071, 11070])).
% 8.26/5.87 tff(11073,plain,
% 8.26/5.87 (~v111(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11072, 11068])).
% 8.26/5.87 tff(11074,plain,
% 8.26/5.87 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15) | v111(constB15)),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11075,plain,
% 8.26/5.87 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11074, 11073])).
% 8.26/5.87 tff(11076,plain,
% 8.26/5.87 (v126(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11075, 11066])).
% 8.26/5.87 tff(11077,plain,
% 8.26/5.87 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15)) | (~v126(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11078,plain,
% 8.26/5.87 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11077, 11076])).
% 8.26/5.87 tff(11079,plain,
% 8.26/5.87 (~((~v113(constB15)) | (~v126(constB15)))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11078, 11064])).
% 8.26/5.87 tff(11080,plain,
% 8.26/5.87 ((~(v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))) | v112(constB15) | ((~v113(constB15)) | (~v126(constB15)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11081,plain,
% 8.26/5.87 (v112(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11080, 11079, 8946])).
% 8.26/5.87 tff(11082,plain,
% 8.26/5.87 ((v111(constB15) | v112(constB15)) | (~v112(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11083,plain,
% 8.26/5.87 (v111(constB15) | v112(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11082, 11081])).
% 8.26/5.87 tff(11084,plain,
% 8.26/5.87 ((~(v108(constB15) <=> (v111(constB15) | v112(constB15)))) | v108(constB15) | (~(v111(constB15) | v112(constB15)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11085,plain,
% 8.26/5.87 (v108(constB15)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11084, 11083, 8944])).
% 8.26/5.87 tff(11086,plain,
% 8.26/5.87 ((~(v110(constB16) <=> v108(constB15))) | v110(constB16) | (~v108(constB15))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11087,plain,
% 8.26/5.87 (v110(constB16)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11086, 11085, 8942])).
% 8.26/5.87 tff(11088,plain,
% 8.26/5.87 ((~((~v101(constB16)) | (~v110(constB16)))) | (~v101(constB16)) | (~v110(constB16))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11089,plain,
% 8.26/5.87 (~((~v101(constB16)) | (~v110(constB16)))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11088, 11087, 8938])).
% 8.26/5.87 tff(11090,plain,
% 8.26/5.87 ((~(v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))) | v100(constB16) | ((~v101(constB16)) | (~v110(constB16)))),
% 8.26/5.87 inference(tautology,[status(thm)],[])).
% 8.26/5.87 tff(11091,plain,
% 8.26/5.87 (v100(constB16)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11090, 11089, 8907])).
% 8.26/5.87 tff(11092,plain,
% 8.26/5.87 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B))))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(11093,plain,
% 8.26/5.87 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B))))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11094,plain,
% 8.26/5.87 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 8.26/5.87 tff(11095,plain,
% 8.26/5.87 ((~v100(constB16)) | ![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11094, 9780])).
% 8.26/5.87 tff(11096,plain,
% 8.26/5.87 (![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11095, 11091])).
% 8.26/5.87 tff(11097,plain,
% 8.26/5.87 (((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)))),
% 8.26/5.87 inference(rewrite,[status(thm)],[])).
% 8.26/5.87 tff(11098,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)))),
% 8.26/5.87 inference(quant_inst,[status(thm)],[])).
% 8.26/5.87 tff(11099,plain,
% 8.26/5.87 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex2)) | (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2))),
% 8.26/5.87 inference(modus_ponens,[status(thm)],[11098, 11097])).
% 8.26/5.87 tff(11100,plain,
% 8.26/5.87 (v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2)),
% 8.26/5.87 inference(unit_resolution,[status(thm)],[11099, 648, 11096])).
% 8.26/5.87 tff(11101,plain,
% 8.26/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B))))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11102,plain,
% 8.26/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B))))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11103,plain,
% 8.26/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11102, 11101])).
% 8.26/5.88 tff(11104,plain,
% 8.26/5.88 (![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11103, 8903, 9802])).
% 8.26/5.88 tff(11105,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11106,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11107,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex2)) | (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11106, 11105])).
% 8.26/5.88 tff(11108,plain,
% 8.26/5.88 (v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11107, 648, 11104])).
% 8.26/5.88 tff(11109,plain,
% 8.26/5.88 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB15) | ![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB15) | ![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B))))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11110,plain,
% 8.26/5.88 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB15) | ![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B))))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11111,plain,
% 8.26/5.88 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB15) | ![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11110, 11109])).
% 8.26/5.88 tff(11112,plain,
% 8.26/5.88 (![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11111, 9823, 11073])).
% 8.26/5.88 tff(11113,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11114,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11115,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex2)) | (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11114, 11113])).
% 8.26/5.88 tff(11116,plain,
% 8.26/5.88 (v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11115, 648, 11112])).
% 8.26/5.88 tff(11117,plain,
% 8.26/5.88 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB15)) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB15)) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B))))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11118,plain,
% 8.26/5.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB15)) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B))))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11119,plain,
% 8.26/5.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB15)) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11118, 11117])).
% 8.26/5.88 tff(11120,plain,
% 8.26/5.88 ((~v120(constB15)) | ![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11119, 10027])).
% 8.26/5.88 tff(11121,plain,
% 8.26/5.88 (![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11120, 11040])).
% 8.26/5.88 tff(11122,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b010(bitIndex2)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11123,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b010(bitIndex2)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11124,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB15, bitIndex2) <=> b010(bitIndex2))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 8.26/5.88 tff(11125,plain,
% 8.26/5.88 (v130(constB15, bitIndex2) <=> b010(bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11124, 648, 11121])).
% 8.26/5.88 tff(11126,plain,
% 8.26/5.88 ((~(v130(constB15, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB15, bitIndex2)) | b010(bitIndex2)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11127,plain,
% 8.26/5.88 ((~(v130(constB15, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB15, bitIndex2))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11126, 10039])).
% 8.26/5.88 tff(11128,plain,
% 8.26/5.88 (~v130(constB15, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11127, 11125])).
% 8.26/5.88 tff(11129,plain,
% 8.26/5.88 ((~(v127(constB15, bitIndex2) <=> v130(constB15, bitIndex2))) | (~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11130,plain,
% 8.26/5.88 (~v127(constB15, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11129, 11128, 11116])).
% 8.26/5.88 tff(11131,plain,
% 8.26/5.88 ((~(v129(constB16, bitIndex2) <=> v127(constB15, bitIndex2))) | (~v129(constB16, bitIndex2)) | v127(constB15, bitIndex2)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11132,plain,
% 8.26/5.88 (~v129(constB16, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11131, 11130, 11108])).
% 8.26/5.88 tff(11133,plain,
% 8.26/5.88 ((~(v90(constB16, bitIndex2) <=> v129(constB16, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11134,plain,
% 8.26/5.88 (~v90(constB16, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11133, 11132, 11100])).
% 8.26/5.88 tff(11135,plain,
% 8.26/5.88 ((~(v90(constB17, bitIndex2) <=> v90(constB16, bitIndex2))) | (~v90(constB17, bitIndex2)) | v90(constB16, bitIndex2)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11136,plain,
% 8.26/5.88 (~v90(constB17, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11135, 11134, 8900])).
% 8.26/5.88 tff(11137,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11138,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11139,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11138, 11137])).
% 8.26/5.88 tff(11140,plain,
% 8.26/5.88 (v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11139, 9653, 8896])).
% 8.26/5.88 tff(11141,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11142,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11143,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex0)) | (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11142, 11141])).
% 8.26/5.88 tff(11144,plain,
% 8.26/5.88 (v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11143, 9653, 11096])).
% 8.26/5.88 tff(11145,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11146,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11147,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex0)) | (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11146, 11145])).
% 8.26/5.88 tff(11148,plain,
% 8.26/5.88 (v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11147, 9653, 11104])).
% 8.26/5.88 tff(11149,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11150,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11151,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex0)) | (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11150, 11149])).
% 8.26/5.88 tff(11152,plain,
% 8.26/5.88 (v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11151, 9653, 11112])).
% 8.26/5.88 tff(11153,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b010(bitIndex0)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11154,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b010(bitIndex0)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11155,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB15, bitIndex0) <=> b010(bitIndex0))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11154, 11153])).
% 8.26/5.88 tff(11156,plain,
% 8.26/5.88 (v130(constB15, bitIndex0) <=> b010(bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11155, 9653, 11121])).
% 8.26/5.88 tff(11157,plain,
% 8.26/5.88 ((~(v130(constB15, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB15, bitIndex0)) | b010(bitIndex0)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11158,plain,
% 8.26/5.88 ((~(v130(constB15, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB15, bitIndex0))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11157, 10073])).
% 8.26/5.88 tff(11159,plain,
% 8.26/5.88 (~v130(constB15, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11158, 11156])).
% 8.26/5.88 tff(11160,plain,
% 8.26/5.88 ((~(v127(constB15, bitIndex0) <=> v130(constB15, bitIndex0))) | (~v127(constB15, bitIndex0)) | v130(constB15, bitIndex0)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11161,plain,
% 8.26/5.88 (~v127(constB15, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11160, 11159, 11152])).
% 8.26/5.88 tff(11162,plain,
% 8.26/5.88 ((~(v129(constB16, bitIndex0) <=> v127(constB15, bitIndex0))) | (~v129(constB16, bitIndex0)) | v127(constB15, bitIndex0)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11163,plain,
% 8.26/5.88 (~v129(constB16, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11162, 11161, 11148])).
% 8.26/5.88 tff(11164,plain,
% 8.26/5.88 ((~(v90(constB16, bitIndex0) <=> v129(constB16, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11165,plain,
% 8.26/5.88 (~v90(constB16, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11164, 11163, 11144])).
% 8.26/5.88 tff(11166,plain,
% 8.26/5.88 ((~(v90(constB17, bitIndex0) <=> v90(constB16, bitIndex0))) | (~v90(constB17, bitIndex0)) | v90(constB16, bitIndex0)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11167,plain,
% 8.26/5.88 (~v90(constB17, bitIndex0)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11166, 11165, 11140])).
% 8.26/5.88 tff(11168,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11169,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11170,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB17, B) <=> v90(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11169, 11168])).
% 8.26/5.88 tff(11171,plain,
% 8.26/5.88 (v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11170, 375, 8896])).
% 8.26/5.88 tff(11172,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11173,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | ((~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11174,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB16, B) <=> v129(constB16, B)))) | (~less_3(bitIndex1)) | (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 8.26/5.88 tff(11175,plain,
% 8.26/5.88 (v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11174, 375, 11096])).
% 8.26/5.88 tff(11176,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11177,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | ((~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11178,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB16, B) <=> v127(constB15, B)))) | (~less_3(bitIndex1)) | (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11177, 11176])).
% 8.26/5.88 tff(11179,plain,
% 8.26/5.88 (v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11178, 375, 11104])).
% 8.26/5.88 tff(11180,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11181,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | ((~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11182,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB15, B) <=> v130(constB15, B)))) | (~less_3(bitIndex1)) | (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11181, 11180])).
% 8.26/5.88 tff(11183,plain,
% 8.26/5.88 (v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11182, 375, 11112])).
% 8.26/5.88 tff(11184,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b010(bitIndex1)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11185,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b010(bitIndex1)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11186,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v130(constB15, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB15, bitIndex1) <=> b010(bitIndex1))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11185, 11184])).
% 8.26/5.88 tff(11187,plain,
% 8.26/5.88 (v130(constB15, bitIndex1) <=> b010(bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11186, 375, 11121])).
% 8.26/5.88 tff(11188,plain,
% 8.26/5.88 ((~(v130(constB15, bitIndex1) <=> b010(bitIndex1))) | v130(constB15, bitIndex1) | (~b010(bitIndex1))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11189,plain,
% 8.26/5.88 ((~(v130(constB15, bitIndex1) <=> b010(bitIndex1))) | v130(constB15, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11188, 10107])).
% 8.26/5.88 tff(11190,plain,
% 8.26/5.88 (v130(constB15, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11189, 11187])).
% 8.26/5.88 tff(11191,plain,
% 8.26/5.88 ((~(v127(constB15, bitIndex1) <=> v130(constB15, bitIndex1))) | v127(constB15, bitIndex1) | (~v130(constB15, bitIndex1))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11192,plain,
% 8.26/5.88 (v127(constB15, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11191, 11190, 11183])).
% 8.26/5.88 tff(11193,plain,
% 8.26/5.88 ((~(v129(constB16, bitIndex1) <=> v127(constB15, bitIndex1))) | v129(constB16, bitIndex1) | (~v127(constB15, bitIndex1))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11194,plain,
% 8.26/5.88 (v129(constB16, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11193, 11192, 11179])).
% 8.26/5.88 tff(11195,plain,
% 8.26/5.88 ((~(v90(constB16, bitIndex1) <=> v129(constB16, bitIndex1))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11196,plain,
% 8.26/5.88 (v90(constB16, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11195, 11194, 11175])).
% 8.26/5.88 tff(11197,plain,
% 8.26/5.88 ((~(v90(constB17, bitIndex1) <=> v90(constB16, bitIndex1))) | v90(constB17, bitIndex1) | (~v90(constB16, bitIndex1))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11198,plain,
% 8.26/5.88 (v90(constB17, bitIndex1)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11197, 11196, 11171])).
% 8.26/5.88 tff(11199,plain,
% 8.26/5.88 ((~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11200,plain,
% 8.26/5.88 (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11199, 11198, 11167, 11136])).
% 8.26/5.88 tff(11201,plain,
% 8.26/5.88 ((~(v121(constB17) <=> (~(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))))) | v121(constB17) | (v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex0))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11202,plain,
% 8.26/5.88 (v121(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11201, 11200, 8868])).
% 8.26/5.88 tff(11203,plain,
% 8.26/5.88 ((v118(constB17) | v121(constB17)) | (~v121(constB17))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11204,plain,
% 8.26/5.88 (v118(constB17) | v121(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11203, 11202])).
% 8.26/5.88 tff(11205,plain,
% 8.26/5.88 ((~(v117(constB17) <=> (v118(constB17) | v121(constB17)))) | v117(constB17) | (~(v118(constB17) | v121(constB17)))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11206,plain,
% 8.26/5.88 (v117(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11205, 11204, 8861])).
% 8.26/5.88 tff(11207,plain,
% 8.26/5.88 ((v117(constB17) | v122(constB17)) | (~v117(constB17))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11208,plain,
% 8.26/5.88 (v117(constB17) | v122(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11207, 11206])).
% 8.26/5.88 tff(11209,plain,
% 8.26/5.88 ((~(v116(constB17) <=> (v117(constB17) | v122(constB17)))) | v116(constB17) | (~(v117(constB17) | v122(constB17)))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11210,plain,
% 8.26/5.88 (v116(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11209, 11208, 8859])).
% 8.26/5.88 tff(11211,plain,
% 8.26/5.88 ((v116(constB17) | v123(constB17)) | (~v116(constB17))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11212,plain,
% 8.26/5.88 (v116(constB17) | v123(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11211, 11210])).
% 8.26/5.88 tff(11213,plain,
% 8.26/5.88 ((~(v115(constB17) <=> (v116(constB17) | v123(constB17)))) | v115(constB17) | (~(v116(constB17) | v123(constB17)))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11214,plain,
% 8.26/5.88 (v115(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11213, 11212, 8857])).
% 8.26/5.88 tff(11215,plain,
% 8.26/5.88 ((v115(constB17) | v124(constB17)) | (~v115(constB17))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11216,plain,
% 8.26/5.88 (v115(constB17) | v124(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11215, 11214])).
% 8.26/5.88 tff(11217,plain,
% 8.26/5.88 ((~(v114(constB17) <=> (v115(constB17) | v124(constB17)))) | v114(constB17) | (~(v115(constB17) | v124(constB17)))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11218,plain,
% 8.26/5.88 (v114(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11217, 11216, 8855])).
% 8.26/5.88 tff(11219,plain,
% 8.26/5.88 ((v114(constB17) | v125(constB17)) | (~v114(constB17))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11220,plain,
% 8.26/5.88 (v114(constB17) | v125(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11219, 11218])).
% 8.26/5.88 tff(11221,plain,
% 8.26/5.88 ((~(v113(constB17) <=> (v114(constB17) | v125(constB17)))) | v113(constB17) | (~(v114(constB17) | v125(constB17)))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11222,plain,
% 8.26/5.88 (v113(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11221, 11220, 8853])).
% 8.26/5.88 tff(11223,plain,
% 8.26/5.88 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB17)) <=> v111(constB17))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11224,plain,
% 8.26/5.88 ((~v126(constB17)) <=> v111(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11223, 9720])).
% 8.26/5.88 tff(11225,plain,
% 8.26/5.88 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB17) <=> v26(constB17))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11226,plain,
% 8.26/5.88 (v111(constB17) <=> v26(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11225, 9732])).
% 8.26/5.88 tff(11227,plain,
% 8.26/5.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11228,plain,
% 8.26/5.88 (~v26(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11227, 9744])).
% 8.26/5.88 tff(11229,plain,
% 8.26/5.88 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17)) | v26(constB17)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11230,plain,
% 8.26/5.88 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11229, 11228])).
% 8.26/5.88 tff(11231,plain,
% 8.26/5.88 (~v111(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11230, 11226])).
% 8.26/5.88 tff(11232,plain,
% 8.26/5.88 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17) | v111(constB17)),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11233,plain,
% 8.26/5.88 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11232, 11231])).
% 8.26/5.88 tff(11234,plain,
% 8.26/5.88 (v126(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11233, 11224])).
% 8.26/5.88 tff(11235,plain,
% 8.26/5.88 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17)) | (~v126(constB17))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11236,plain,
% 8.26/5.88 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11235, 11234])).
% 8.26/5.88 tff(11237,plain,
% 8.26/5.88 (~((~v113(constB17)) | (~v126(constB17)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11236, 11222])).
% 8.26/5.88 tff(11238,plain,
% 8.26/5.88 ((~(v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))) | v112(constB17) | ((~v113(constB17)) | (~v126(constB17)))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11239,plain,
% 8.26/5.88 (v112(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11238, 11237, 8851])).
% 8.26/5.88 tff(11240,plain,
% 8.26/5.88 ((v111(constB17) | v112(constB17)) | (~v112(constB17))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11241,plain,
% 8.26/5.88 (v111(constB17) | v112(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11240, 11239])).
% 8.26/5.88 tff(11242,plain,
% 8.26/5.88 ((~(v108(constB17) <=> (v111(constB17) | v112(constB17)))) | v108(constB17) | (~(v111(constB17) | v112(constB17)))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11243,plain,
% 8.26/5.88 (v108(constB17)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11242, 11241, 8849])).
% 8.26/5.88 tff(11244,plain,
% 8.26/5.88 ((~(v110(constB18) <=> v108(constB17))) | v110(constB18) | (~v108(constB17))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11245,plain,
% 8.26/5.88 (v110(constB18)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11244, 11243, 8847])).
% 8.26/5.88 tff(11246,plain,
% 8.26/5.88 ((~((~v101(constB18)) | (~v110(constB18)))) | (~v101(constB18)) | (~v110(constB18))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11247,plain,
% 8.26/5.88 (~((~v101(constB18)) | (~v110(constB18)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11246, 11245, 8843])).
% 8.26/5.88 tff(11248,plain,
% 8.26/5.88 ((~(v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))) | v100(constB18) | ((~v101(constB18)) | (~v110(constB18)))),
% 8.26/5.88 inference(tautology,[status(thm)],[])).
% 8.26/5.88 tff(11249,plain,
% 8.26/5.88 (v100(constB18)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11248, 11247, 8812])).
% 8.26/5.88 tff(11250,plain,
% 8.26/5.88 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B))))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11251,plain,
% 8.26/5.88 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B))))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11252,plain,
% 8.26/5.88 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11251, 11250])).
% 8.26/5.88 tff(11253,plain,
% 8.26/5.88 ((~v100(constB18)) | ![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11252, 9780])).
% 8.26/5.88 tff(11254,plain,
% 8.26/5.88 (![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11253, 11249])).
% 8.26/5.88 tff(11255,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11256,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11257,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex2)) | (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 8.26/5.88 tff(11258,plain,
% 8.26/5.88 (v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11257, 648, 11254])).
% 8.26/5.88 tff(11259,plain,
% 8.26/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B))))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11260,plain,
% 8.26/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B))))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11261,plain,
% 8.26/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 8.26/5.88 tff(11262,plain,
% 8.26/5.88 (![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11261, 8808, 9802])).
% 8.26/5.88 tff(11263,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11264,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11265,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex2)) | (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11264, 11263])).
% 8.26/5.88 tff(11266,plain,
% 8.26/5.88 (v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11265, 648, 11262])).
% 8.26/5.88 tff(11267,plain,
% 8.26/5.88 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB17) | ![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB17) | ![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B))))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11268,plain,
% 8.26/5.88 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB17) | ![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B))))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11269,plain,
% 8.26/5.88 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB17) | ![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11268, 11267])).
% 8.26/5.88 tff(11270,plain,
% 8.26/5.88 (![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11269, 9823, 11231])).
% 8.26/5.88 tff(11271,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11272,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11273,plain,
% 8.26/5.88 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex2)) | (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11272, 11271])).
% 8.26/5.88 tff(11274,plain,
% 8.26/5.88 (v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2)),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11273, 648, 11270])).
% 8.26/5.88 tff(11275,plain,
% 8.26/5.88 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B))))),
% 8.26/5.88 inference(rewrite,[status(thm)],[])).
% 8.26/5.88 tff(11276,plain,
% 8.26/5.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B))))),
% 8.26/5.88 inference(quant_inst,[status(thm)],[])).
% 8.26/5.88 tff(11277,plain,
% 8.26/5.88 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))),
% 8.26/5.88 inference(modus_ponens,[status(thm)],[11276, 11275])).
% 8.26/5.88 tff(11278,plain,
% 8.26/5.88 ((~v121(constB17)) | ![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11277, 10207])).
% 8.26/5.88 tff(11279,plain,
% 8.26/5.88 (![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))),
% 8.26/5.88 inference(unit_resolution,[status(thm)],[11278, 11202])).
% 8.26/5.88 tff(11280,plain,
% 8.26/5.88 (((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b011(bitIndex2)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11281,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b011(bitIndex2)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11282,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB17, bitIndex2) <=> b011(bitIndex2))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11281, 11280])).
% 8.26/5.89 tff(11283,plain,
% 8.26/5.89 (v130(constB17, bitIndex2) <=> b011(bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11282, 648, 11279])).
% 8.26/5.89 tff(11284,plain,
% 8.26/5.89 ((~(v130(constB17, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB17, bitIndex2)) | b011(bitIndex2)),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11285,plain,
% 8.26/5.89 ((~(v130(constB17, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB17, bitIndex2))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11284, 10219])).
% 8.26/5.89 tff(11286,plain,
% 8.26/5.89 (~v130(constB17, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11285, 11283])).
% 8.26/5.89 tff(11287,plain,
% 8.26/5.89 ((~(v127(constB17, bitIndex2) <=> v130(constB17, bitIndex2))) | (~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11288,plain,
% 8.26/5.89 (~v127(constB17, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11287, 11286, 11274])).
% 8.26/5.89 tff(11289,plain,
% 8.26/5.89 ((~(v129(constB18, bitIndex2) <=> v127(constB17, bitIndex2))) | (~v129(constB18, bitIndex2)) | v127(constB17, bitIndex2)),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11290,plain,
% 8.26/5.89 (~v129(constB18, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11289, 11288, 11266])).
% 8.26/5.89 tff(11291,plain,
% 8.26/5.89 ((~(v90(constB18, bitIndex2) <=> v129(constB18, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2)),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11292,plain,
% 8.26/5.89 (~v90(constB18, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11291, 11290, 11258])).
% 8.26/5.89 tff(11293,plain,
% 8.26/5.89 ((~(v90(constB19, bitIndex2) <=> v90(constB18, bitIndex2))) | (~v90(constB19, bitIndex2)) | v90(constB18, bitIndex2)),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11294,plain,
% 8.26/5.89 (~v90(constB19, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11293, 11292, 8805])).
% 8.26/5.89 tff(11295,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11296,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11297,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11296, 11295])).
% 8.26/5.89 tff(11298,plain,
% 8.26/5.89 (v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11297, 9653, 8801])).
% 8.26/5.89 tff(11299,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11300,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11301,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex0)) | (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11300, 11299])).
% 8.26/5.89 tff(11302,plain,
% 8.26/5.89 (v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11301, 9653, 11254])).
% 8.26/5.89 tff(11303,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11304,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11305,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex0)) | (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 8.26/5.89 tff(11306,plain,
% 8.26/5.89 (v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11305, 9653, 11262])).
% 8.26/5.89 tff(11307,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11308,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11309,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex0)) | (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 8.26/5.89 tff(11310,plain,
% 8.26/5.89 (v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11309, 9653, 11270])).
% 8.26/5.89 tff(11311,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b011(bitIndex0)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11312,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b011(bitIndex0)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11313,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB17, bitIndex0) <=> b011(bitIndex0))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 8.26/5.89 tff(11314,plain,
% 8.26/5.89 (v130(constB17, bitIndex0) <=> b011(bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11313, 9653, 11279])).
% 8.26/5.89 tff(11315,plain,
% 8.26/5.89 ((~(v130(constB17, bitIndex0) <=> b011(bitIndex0))) | v130(constB17, bitIndex0) | (~b011(bitIndex0))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11316,plain,
% 8.26/5.89 ((~(v130(constB17, bitIndex0) <=> b011(bitIndex0))) | v130(constB17, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11315, 10253])).
% 8.26/5.89 tff(11317,plain,
% 8.26/5.89 (v130(constB17, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11316, 11314])).
% 8.26/5.89 tff(11318,plain,
% 8.26/5.89 ((~(v127(constB17, bitIndex0) <=> v130(constB17, bitIndex0))) | v127(constB17, bitIndex0) | (~v130(constB17, bitIndex0))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11319,plain,
% 8.26/5.89 (v127(constB17, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11318, 11317, 11310])).
% 8.26/5.89 tff(11320,plain,
% 8.26/5.89 ((~(v129(constB18, bitIndex0) <=> v127(constB17, bitIndex0))) | v129(constB18, bitIndex0) | (~v127(constB17, bitIndex0))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11321,plain,
% 8.26/5.89 (v129(constB18, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11320, 11319, 11306])).
% 8.26/5.89 tff(11322,plain,
% 8.26/5.89 ((~(v90(constB18, bitIndex0) <=> v129(constB18, bitIndex0))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11323,plain,
% 8.26/5.89 (v90(constB18, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11322, 11321, 11302])).
% 8.26/5.89 tff(11324,plain,
% 8.26/5.89 ((~(v90(constB19, bitIndex0) <=> v90(constB18, bitIndex0))) | v90(constB19, bitIndex0) | (~v90(constB18, bitIndex0))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11325,plain,
% 8.26/5.89 (v90(constB19, bitIndex0)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11324, 11323, 11298])).
% 8.26/5.89 tff(11326,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11327,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11328,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB19, B) <=> v90(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11327, 11326])).
% 8.26/5.89 tff(11329,plain,
% 8.26/5.89 (v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11328, 375, 8801])).
% 8.26/5.89 tff(11330,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11331,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | ((~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11332,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB18, B) <=> v129(constB18, B)))) | (~less_3(bitIndex1)) | (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11331, 11330])).
% 8.26/5.89 tff(11333,plain,
% 8.26/5.89 (v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11332, 375, 11254])).
% 8.26/5.89 tff(11334,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11335,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | ((~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11336,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB18, B) <=> v127(constB17, B)))) | (~less_3(bitIndex1)) | (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11335, 11334])).
% 8.26/5.89 tff(11337,plain,
% 8.26/5.89 (v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11336, 375, 11262])).
% 8.26/5.89 tff(11338,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11339,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | ((~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11340,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB17, B) <=> v130(constB17, B)))) | (~less_3(bitIndex1)) | (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 8.26/5.89 tff(11341,plain,
% 8.26/5.89 (v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11340, 375, 11270])).
% 8.26/5.89 tff(11342,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b011(bitIndex1)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11343,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b011(bitIndex1)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11344,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB17, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB17, bitIndex1) <=> b011(bitIndex1))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11343, 11342])).
% 8.26/5.89 tff(11345,plain,
% 8.26/5.89 (v130(constB17, bitIndex1) <=> b011(bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11344, 375, 11279])).
% 8.26/5.89 tff(11346,plain,
% 8.26/5.89 ((~(v130(constB17, bitIndex1) <=> b011(bitIndex1))) | v130(constB17, bitIndex1) | (~b011(bitIndex1))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11347,plain,
% 8.26/5.89 ((~(v130(constB17, bitIndex1) <=> b011(bitIndex1))) | v130(constB17, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11346, 10287])).
% 8.26/5.89 tff(11348,plain,
% 8.26/5.89 (v130(constB17, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11347, 11345])).
% 8.26/5.89 tff(11349,plain,
% 8.26/5.89 ((~(v127(constB17, bitIndex1) <=> v130(constB17, bitIndex1))) | v127(constB17, bitIndex1) | (~v130(constB17, bitIndex1))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11350,plain,
% 8.26/5.89 (v127(constB17, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11349, 11348, 11341])).
% 8.26/5.89 tff(11351,plain,
% 8.26/5.89 ((~(v129(constB18, bitIndex1) <=> v127(constB17, bitIndex1))) | v129(constB18, bitIndex1) | (~v127(constB17, bitIndex1))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11352,plain,
% 8.26/5.89 (v129(constB18, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11351, 11350, 11337])).
% 8.26/5.89 tff(11353,plain,
% 8.26/5.89 ((~(v90(constB18, bitIndex1) <=> v129(constB18, bitIndex1))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11354,plain,
% 8.26/5.89 (v90(constB18, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11353, 11352, 11333])).
% 8.26/5.89 tff(11355,plain,
% 8.26/5.89 ((~(v90(constB19, bitIndex1) <=> v90(constB18, bitIndex1))) | v90(constB19, bitIndex1) | (~v90(constB18, bitIndex1))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11356,plain,
% 8.26/5.89 (v90(constB19, bitIndex1)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11355, 11354, 11329])).
% 8.26/5.89 tff(11357,plain,
% 8.26/5.89 ((~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11358,plain,
% 8.26/5.89 (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11357, 11356, 11325, 11294])).
% 8.26/5.89 tff(11359,plain,
% 8.26/5.89 ((~(v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))) | v122(constB19) | (v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11360,plain,
% 8.26/5.89 (v122(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11359, 11358, 8773])).
% 8.26/5.89 tff(11361,plain,
% 8.26/5.89 ((v117(constB19) | v122(constB19)) | (~v122(constB19))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11362,plain,
% 8.26/5.89 (v117(constB19) | v122(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11361, 11360])).
% 8.26/5.89 tff(11363,plain,
% 8.26/5.89 ((~(v116(constB19) <=> (v117(constB19) | v122(constB19)))) | v116(constB19) | (~(v117(constB19) | v122(constB19)))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11364,plain,
% 8.26/5.89 (v116(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11363, 11362, 8766])).
% 8.26/5.89 tff(11365,plain,
% 8.26/5.89 ((v116(constB19) | v123(constB19)) | (~v116(constB19))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11366,plain,
% 8.26/5.89 (v116(constB19) | v123(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11365, 11364])).
% 8.26/5.89 tff(11367,plain,
% 8.26/5.89 ((~(v115(constB19) <=> (v116(constB19) | v123(constB19)))) | v115(constB19) | (~(v116(constB19) | v123(constB19)))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11368,plain,
% 8.26/5.89 (v115(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11367, 11366, 8764])).
% 8.26/5.89 tff(11369,plain,
% 8.26/5.89 ((v115(constB19) | v124(constB19)) | (~v115(constB19))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11370,plain,
% 8.26/5.89 (v115(constB19) | v124(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11369, 11368])).
% 8.26/5.89 tff(11371,plain,
% 8.26/5.89 ((~(v114(constB19) <=> (v115(constB19) | v124(constB19)))) | v114(constB19) | (~(v115(constB19) | v124(constB19)))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11372,plain,
% 8.26/5.89 (v114(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11371, 11370, 8762])).
% 8.26/5.89 tff(11373,plain,
% 8.26/5.89 ((v114(constB19) | v125(constB19)) | (~v114(constB19))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11374,plain,
% 8.26/5.89 (v114(constB19) | v125(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11373, 11372])).
% 8.26/5.89 tff(11375,plain,
% 8.26/5.89 ((~(v113(constB19) <=> (v114(constB19) | v125(constB19)))) | v113(constB19) | (~(v114(constB19) | v125(constB19)))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11376,plain,
% 8.26/5.89 (v113(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11375, 11374, 8760])).
% 8.26/5.89 tff(11377,plain,
% 8.26/5.89 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB19)) <=> v111(constB19))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11378,plain,
% 8.26/5.89 ((~v126(constB19)) <=> v111(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11377, 9720])).
% 8.26/5.89 tff(11379,plain,
% 8.26/5.89 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB19) <=> v26(constB19))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11380,plain,
% 8.26/5.89 (v111(constB19) <=> v26(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11379, 9732])).
% 8.26/5.89 tff(11381,plain,
% 8.26/5.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11382,plain,
% 8.26/5.89 (~v26(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11381, 9744])).
% 8.26/5.89 tff(11383,plain,
% 8.26/5.89 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19)) | v26(constB19)),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11384,plain,
% 8.26/5.89 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11383, 11382])).
% 8.26/5.89 tff(11385,plain,
% 8.26/5.89 (~v111(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11384, 11380])).
% 8.26/5.89 tff(11386,plain,
% 8.26/5.89 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19) | v111(constB19)),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11387,plain,
% 8.26/5.89 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11386, 11385])).
% 8.26/5.89 tff(11388,plain,
% 8.26/5.89 (v126(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11387, 11378])).
% 8.26/5.89 tff(11389,plain,
% 8.26/5.89 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19)) | (~v126(constB19))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11390,plain,
% 8.26/5.89 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11389, 11388])).
% 8.26/5.89 tff(11391,plain,
% 8.26/5.89 (~((~v113(constB19)) | (~v126(constB19)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11390, 11376])).
% 8.26/5.89 tff(11392,plain,
% 8.26/5.89 ((~(v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))) | v112(constB19) | ((~v113(constB19)) | (~v126(constB19)))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11393,plain,
% 8.26/5.89 (v112(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11392, 11391, 8758])).
% 8.26/5.89 tff(11394,plain,
% 8.26/5.89 ((v111(constB19) | v112(constB19)) | (~v112(constB19))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11395,plain,
% 8.26/5.89 (v111(constB19) | v112(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11394, 11393])).
% 8.26/5.89 tff(11396,plain,
% 8.26/5.89 ((~(v108(constB19) <=> (v111(constB19) | v112(constB19)))) | v108(constB19) | (~(v111(constB19) | v112(constB19)))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11397,plain,
% 8.26/5.89 (v108(constB19)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11396, 11395, 8756])).
% 8.26/5.89 tff(11398,plain,
% 8.26/5.89 ((~(v110(constB20) <=> v108(constB19))) | v110(constB20) | (~v108(constB19))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11399,plain,
% 8.26/5.89 (v110(constB20)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11398, 11397, 8754])).
% 8.26/5.89 tff(11400,plain,
% 8.26/5.89 ((~((~v101(constB20)) | (~v110(constB20)))) | (~v101(constB20)) | (~v110(constB20))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11401,plain,
% 8.26/5.89 (~((~v101(constB20)) | (~v110(constB20)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11400, 11399, 8750])).
% 8.26/5.89 tff(11402,plain,
% 8.26/5.89 ((~(v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))) | v100(constB20) | ((~v101(constB20)) | (~v110(constB20)))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11403,plain,
% 8.26/5.89 (v100(constB20)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11402, 11401, 8719])).
% 8.26/5.89 tff(11404,plain,
% 8.26/5.89 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B))))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11405,plain,
% 8.26/5.89 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B))))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11406,plain,
% 8.26/5.89 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11405, 11404])).
% 8.26/5.89 tff(11407,plain,
% 8.26/5.89 ((~v100(constB20)) | ![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11406, 9780])).
% 8.26/5.89 tff(11408,plain,
% 8.26/5.89 (![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11407, 11403])).
% 8.26/5.89 tff(11409,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11410,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11411,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex2)) | (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11410, 11409])).
% 8.26/5.89 tff(11412,plain,
% 8.26/5.89 (v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11411, 648, 11408])).
% 8.26/5.89 tff(11413,plain,
% 8.26/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B))))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11414,plain,
% 8.26/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B))))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11415,plain,
% 8.26/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11414, 11413])).
% 8.26/5.89 tff(11416,plain,
% 8.26/5.89 (![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11415, 8715, 9802])).
% 8.26/5.89 tff(11417,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11418,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11419,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex2)) | (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11418, 11417])).
% 8.26/5.89 tff(11420,plain,
% 8.26/5.89 (v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11419, 648, 11416])).
% 8.26/5.89 tff(11421,plain,
% 8.26/5.89 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB19) | ![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB19) | ![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B))))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11422,plain,
% 8.26/5.89 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB19) | ![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B))))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11423,plain,
% 8.26/5.89 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB19) | ![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11422, 11421])).
% 8.26/5.89 tff(11424,plain,
% 8.26/5.89 (![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11423, 9823, 11385])).
% 8.26/5.89 tff(11425,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11426,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11427,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex2)) | (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 8.26/5.89 tff(11428,plain,
% 8.26/5.89 (v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11427, 648, 11424])).
% 8.26/5.89 tff(11429,plain,
% 8.26/5.89 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B))))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11430,plain,
% 8.26/5.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B))))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11431,plain,
% 8.26/5.89 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11430, 11429])).
% 8.26/5.89 tff(11432,plain,
% 8.26/5.89 ((~v122(constB19)) | ![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11431, 10383])).
% 8.26/5.89 tff(11433,plain,
% 8.26/5.89 (![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11432, 11360])).
% 8.26/5.89 tff(11434,plain,
% 8.26/5.89 (((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b100(bitIndex2)))),
% 8.26/5.89 inference(rewrite,[status(thm)],[])).
% 8.26/5.89 tff(11435,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b100(bitIndex2)))),
% 8.26/5.89 inference(quant_inst,[status(thm)],[])).
% 8.26/5.89 tff(11436,plain,
% 8.26/5.89 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB19, bitIndex2) <=> b100(bitIndex2))),
% 8.26/5.89 inference(modus_ponens,[status(thm)],[11435, 11434])).
% 8.26/5.89 tff(11437,plain,
% 8.26/5.89 (v130(constB19, bitIndex2) <=> b100(bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11436, 648, 11433])).
% 8.26/5.89 tff(11438,plain,
% 8.26/5.89 ((~(v130(constB19, bitIndex2) <=> b100(bitIndex2))) | v130(constB19, bitIndex2) | (~b100(bitIndex2))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11439,plain,
% 8.26/5.89 ((~(v130(constB19, bitIndex2) <=> b100(bitIndex2))) | v130(constB19, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11438, 10395])).
% 8.26/5.89 tff(11440,plain,
% 8.26/5.89 (v130(constB19, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11439, 11437])).
% 8.26/5.89 tff(11441,plain,
% 8.26/5.89 ((~(v127(constB19, bitIndex2) <=> v130(constB19, bitIndex2))) | v127(constB19, bitIndex2) | (~v130(constB19, bitIndex2))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11442,plain,
% 8.26/5.89 (v127(constB19, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11441, 11440, 11428])).
% 8.26/5.89 tff(11443,plain,
% 8.26/5.89 ((~(v129(constB20, bitIndex2) <=> v127(constB19, bitIndex2))) | v129(constB20, bitIndex2) | (~v127(constB19, bitIndex2))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11444,plain,
% 8.26/5.89 (v129(constB20, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11443, 11442, 11420])).
% 8.26/5.89 tff(11445,plain,
% 8.26/5.89 ((~(v90(constB20, bitIndex2) <=> v129(constB20, bitIndex2))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11446,plain,
% 8.26/5.89 (v90(constB20, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11445, 11444, 11412])).
% 8.26/5.89 tff(11447,plain,
% 8.26/5.89 ((~(v90(constB21, bitIndex2) <=> v90(constB20, bitIndex2))) | v90(constB21, bitIndex2) | (~v90(constB20, bitIndex2))),
% 8.26/5.89 inference(tautology,[status(thm)],[])).
% 8.26/5.89 tff(11448,plain,
% 8.26/5.89 (v90(constB21, bitIndex2)),
% 8.26/5.89 inference(unit_resolution,[status(thm)],[11447, 11446, 8712])).
% 8.32/5.90 tff(11449,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11450,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11451,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11450, 11449])).
% 8.32/5.90 tff(11452,plain,
% 8.32/5.90 (v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11451, 9653, 8708])).
% 8.32/5.90 tff(11453,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11454,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11455,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex0)) | (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11454, 11453])).
% 8.32/5.90 tff(11456,plain,
% 8.32/5.90 (v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11455, 9653, 11408])).
% 8.32/5.90 tff(11457,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11458,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11459,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex0)) | (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11458, 11457])).
% 8.32/5.90 tff(11460,plain,
% 8.32/5.90 (v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11459, 9653, 11416])).
% 8.32/5.90 tff(11461,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11462,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11463,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex0)) | (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11462, 11461])).
% 8.32/5.90 tff(11464,plain,
% 8.32/5.90 (v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11463, 9653, 11424])).
% 8.32/5.90 tff(11465,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b100(bitIndex0)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11466,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b100(bitIndex0)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11467,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB19, bitIndex0) <=> b100(bitIndex0))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11466, 11465])).
% 8.32/5.90 tff(11468,plain,
% 8.32/5.90 (v130(constB19, bitIndex0) <=> b100(bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11467, 9653, 11433])).
% 8.32/5.90 tff(11469,plain,
% 8.32/5.90 ((~(v130(constB19, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB19, bitIndex0)) | b100(bitIndex0)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11470,plain,
% 8.32/5.90 ((~(v130(constB19, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB19, bitIndex0))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11469, 10429])).
% 8.32/5.90 tff(11471,plain,
% 8.32/5.90 (~v130(constB19, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11470, 11468])).
% 8.32/5.90 tff(11472,plain,
% 8.32/5.90 ((~(v127(constB19, bitIndex0) <=> v130(constB19, bitIndex0))) | (~v127(constB19, bitIndex0)) | v130(constB19, bitIndex0)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11473,plain,
% 8.32/5.90 (~v127(constB19, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11472, 11471, 11464])).
% 8.32/5.90 tff(11474,plain,
% 8.32/5.90 ((~(v129(constB20, bitIndex0) <=> v127(constB19, bitIndex0))) | (~v129(constB20, bitIndex0)) | v127(constB19, bitIndex0)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11475,plain,
% 8.32/5.90 (~v129(constB20, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11474, 11473, 11460])).
% 8.32/5.90 tff(11476,plain,
% 8.32/5.90 ((~(v90(constB20, bitIndex0) <=> v129(constB20, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11477,plain,
% 8.32/5.90 (~v90(constB20, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11476, 11475, 11456])).
% 8.32/5.90 tff(11478,plain,
% 8.32/5.90 ((~(v90(constB21, bitIndex0) <=> v90(constB20, bitIndex0))) | (~v90(constB21, bitIndex0)) | v90(constB20, bitIndex0)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11479,plain,
% 8.32/5.90 (~v90(constB21, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11478, 11477, 11452])).
% 8.32/5.90 tff(11480,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11481,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11482,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB21, B) <=> v90(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11481, 11480])).
% 8.32/5.90 tff(11483,plain,
% 8.32/5.90 (v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11482, 375, 8708])).
% 8.32/5.90 tff(11484,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11485,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | ((~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11486,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB20, B) <=> v129(constB20, B)))) | (~less_3(bitIndex1)) | (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 8.32/5.90 tff(11487,plain,
% 8.32/5.90 (v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11486, 375, 11408])).
% 8.32/5.90 tff(11488,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11489,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | ((~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11490,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB20, B) <=> v127(constB19, B)))) | (~less_3(bitIndex1)) | (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11489, 11488])).
% 8.32/5.90 tff(11491,plain,
% 8.32/5.90 (v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11490, 375, 11416])).
% 8.32/5.90 tff(11492,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11493,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | ((~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11494,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB19, B) <=> v130(constB19, B)))) | (~less_3(bitIndex1)) | (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 8.32/5.90 tff(11495,plain,
% 8.32/5.90 (v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11494, 375, 11424])).
% 8.32/5.90 tff(11496,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b100(bitIndex1)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11497,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b100(bitIndex1)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11498,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB19, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB19, bitIndex1) <=> b100(bitIndex1))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11497, 11496])).
% 8.32/5.90 tff(11499,plain,
% 8.32/5.90 (v130(constB19, bitIndex1) <=> b100(bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11498, 375, 11433])).
% 8.32/5.90 tff(11500,plain,
% 8.32/5.90 ((~(v130(constB19, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB19, bitIndex1)) | b100(bitIndex1)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11501,plain,
% 8.32/5.90 ((~(v130(constB19, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB19, bitIndex1))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11500, 10463])).
% 8.32/5.90 tff(11502,plain,
% 8.32/5.90 (~v130(constB19, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11501, 11499])).
% 8.32/5.90 tff(11503,plain,
% 8.32/5.90 ((~(v127(constB19, bitIndex1) <=> v130(constB19, bitIndex1))) | (~v127(constB19, bitIndex1)) | v130(constB19, bitIndex1)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11504,plain,
% 8.32/5.90 (~v127(constB19, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11503, 11502, 11495])).
% 8.32/5.90 tff(11505,plain,
% 8.32/5.90 ((~(v129(constB20, bitIndex1) <=> v127(constB19, bitIndex1))) | (~v129(constB20, bitIndex1)) | v127(constB19, bitIndex1)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11506,plain,
% 8.32/5.90 (~v129(constB20, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11505, 11504, 11491])).
% 8.32/5.90 tff(11507,plain,
% 8.32/5.90 ((~(v90(constB20, bitIndex1) <=> v129(constB20, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11508,plain,
% 8.32/5.90 (~v90(constB20, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11507, 11506, 11487])).
% 8.32/5.90 tff(11509,plain,
% 8.32/5.90 ((~(v90(constB21, bitIndex1) <=> v90(constB20, bitIndex1))) | (~v90(constB21, bitIndex1)) | v90(constB20, bitIndex1)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11510,plain,
% 8.32/5.90 (~v90(constB21, bitIndex1)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11509, 11508, 11483])).
% 8.32/5.90 tff(11511,plain,
% 8.32/5.90 ((~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))) | (~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11512,plain,
% 8.32/5.90 (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11511, 11510, 11479, 11448])).
% 8.32/5.90 tff(11513,plain,
% 8.32/5.90 ((~(v123(constB21) <=> (~((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))))) | v123(constB21) | ((~v90(constB21, bitIndex2)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11514,plain,
% 8.32/5.90 (v123(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11513, 11512, 8680])).
% 8.32/5.90 tff(11515,plain,
% 8.32/5.90 ((v116(constB21) | v123(constB21)) | (~v123(constB21))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11516,plain,
% 8.32/5.90 (v116(constB21) | v123(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11515, 11514])).
% 8.32/5.90 tff(11517,plain,
% 8.32/5.90 ((~(v115(constB21) <=> (v116(constB21) | v123(constB21)))) | v115(constB21) | (~(v116(constB21) | v123(constB21)))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11518,plain,
% 8.32/5.90 (v115(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11517, 11516, 8673])).
% 8.32/5.90 tff(11519,plain,
% 8.32/5.90 ((v115(constB21) | v124(constB21)) | (~v115(constB21))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11520,plain,
% 8.32/5.90 (v115(constB21) | v124(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11519, 11518])).
% 8.32/5.90 tff(11521,plain,
% 8.32/5.90 ((~(v114(constB21) <=> (v115(constB21) | v124(constB21)))) | v114(constB21) | (~(v115(constB21) | v124(constB21)))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11522,plain,
% 8.32/5.90 (v114(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11521, 11520, 8671])).
% 8.32/5.90 tff(11523,plain,
% 8.32/5.90 ((v114(constB21) | v125(constB21)) | (~v114(constB21))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11524,plain,
% 8.32/5.90 (v114(constB21) | v125(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11523, 11522])).
% 8.32/5.90 tff(11525,plain,
% 8.32/5.90 ((~(v113(constB21) <=> (v114(constB21) | v125(constB21)))) | v113(constB21) | (~(v114(constB21) | v125(constB21)))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11526,plain,
% 8.32/5.90 (v113(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11525, 11524, 8669])).
% 8.32/5.90 tff(11527,plain,
% 8.32/5.90 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB21)) <=> v111(constB21))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11528,plain,
% 8.32/5.90 ((~v126(constB21)) <=> v111(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11527, 9720])).
% 8.32/5.90 tff(11529,plain,
% 8.32/5.90 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB21) <=> v26(constB21))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11530,plain,
% 8.32/5.90 (v111(constB21) <=> v26(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11529, 9732])).
% 8.32/5.90 tff(11531,plain,
% 8.32/5.90 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11532,plain,
% 8.32/5.90 (~v26(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11531, 9744])).
% 8.32/5.90 tff(11533,plain,
% 8.32/5.90 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21)) | v26(constB21)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11534,plain,
% 8.32/5.90 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11533, 11532])).
% 8.32/5.90 tff(11535,plain,
% 8.32/5.90 (~v111(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11534, 11530])).
% 8.32/5.90 tff(11536,plain,
% 8.32/5.90 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21) | v111(constB21)),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11537,plain,
% 8.32/5.90 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11536, 11535])).
% 8.32/5.90 tff(11538,plain,
% 8.32/5.90 (v126(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11537, 11528])).
% 8.32/5.90 tff(11539,plain,
% 8.32/5.90 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21)) | (~v126(constB21))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11540,plain,
% 8.32/5.90 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11539, 11538])).
% 8.32/5.90 tff(11541,plain,
% 8.32/5.90 (~((~v113(constB21)) | (~v126(constB21)))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11540, 11526])).
% 8.32/5.90 tff(11542,plain,
% 8.32/5.90 ((~(v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))) | v112(constB21) | ((~v113(constB21)) | (~v126(constB21)))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11543,plain,
% 8.32/5.90 (v112(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11542, 11541, 8667])).
% 8.32/5.90 tff(11544,plain,
% 8.32/5.90 ((v111(constB21) | v112(constB21)) | (~v112(constB21))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11545,plain,
% 8.32/5.90 (v111(constB21) | v112(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11544, 11543])).
% 8.32/5.90 tff(11546,plain,
% 8.32/5.90 ((~(v108(constB21) <=> (v111(constB21) | v112(constB21)))) | v108(constB21) | (~(v111(constB21) | v112(constB21)))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11547,plain,
% 8.32/5.90 (v108(constB21)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11546, 11545, 8665])).
% 8.32/5.90 tff(11548,plain,
% 8.32/5.90 ((~(v110(constB22) <=> v108(constB21))) | v110(constB22) | (~v108(constB21))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11549,plain,
% 8.32/5.90 (v110(constB22)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11548, 11547, 8663])).
% 8.32/5.90 tff(11550,plain,
% 8.32/5.90 ((~((~v101(constB22)) | (~v110(constB22)))) | (~v101(constB22)) | (~v110(constB22))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11551,plain,
% 8.32/5.90 (~((~v101(constB22)) | (~v110(constB22)))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11550, 11549, 8659])).
% 8.32/5.90 tff(11552,plain,
% 8.32/5.90 ((~(v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))) | v100(constB22) | ((~v101(constB22)) | (~v110(constB22)))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11553,plain,
% 8.32/5.90 (v100(constB22)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11552, 11551, 8628])).
% 8.32/5.90 tff(11554,plain,
% 8.32/5.90 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B))))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11555,plain,
% 8.32/5.90 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B))))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11556,plain,
% 8.32/5.90 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11555, 11554])).
% 8.32/5.90 tff(11557,plain,
% 8.32/5.90 ((~v100(constB22)) | ![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11556, 9780])).
% 8.32/5.90 tff(11558,plain,
% 8.32/5.90 (![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11557, 11553])).
% 8.32/5.90 tff(11559,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11560,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11561,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex2)) | (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 8.32/5.90 tff(11562,plain,
% 8.32/5.90 (v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11561, 648, 11558])).
% 8.32/5.90 tff(11563,plain,
% 8.32/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B))))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11564,plain,
% 8.32/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B))))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11565,plain,
% 8.32/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 8.32/5.90 tff(11566,plain,
% 8.32/5.90 (![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11565, 8624, 9802])).
% 8.32/5.90 tff(11567,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11568,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11569,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex2)) | (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 8.32/5.90 tff(11570,plain,
% 8.32/5.90 (v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11569, 648, 11566])).
% 8.32/5.90 tff(11571,plain,
% 8.32/5.90 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB21) | ![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB21) | ![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B))))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11572,plain,
% 8.32/5.90 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB21) | ![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B))))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11573,plain,
% 8.32/5.90 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB21) | ![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11572, 11571])).
% 8.32/5.90 tff(11574,plain,
% 8.32/5.90 (![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11573, 9823, 11535])).
% 8.32/5.90 tff(11575,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11576,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11577,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex2)) | (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 8.32/5.90 tff(11578,plain,
% 8.32/5.90 (v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11577, 648, 11574])).
% 8.32/5.90 tff(11579,plain,
% 8.32/5.90 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B))))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11580,plain,
% 8.32/5.90 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B))))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11581,plain,
% 8.32/5.90 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 8.32/5.90 tff(11582,plain,
% 8.32/5.90 ((~v123(constB21)) | ![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11581, 10555])).
% 8.32/5.90 tff(11583,plain,
% 8.32/5.90 (![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11582, 11514])).
% 8.32/5.90 tff(11584,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b101(bitIndex2)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11585,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b101(bitIndex2)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11586,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB21, bitIndex2) <=> b101(bitIndex2))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11585, 11584])).
% 8.32/5.90 tff(11587,plain,
% 8.32/5.90 (v130(constB21, bitIndex2) <=> b101(bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11586, 648, 11583])).
% 8.32/5.90 tff(11588,plain,
% 8.32/5.90 ((~(v130(constB21, bitIndex2) <=> b101(bitIndex2))) | v130(constB21, bitIndex2) | (~b101(bitIndex2))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11589,plain,
% 8.32/5.90 ((~(v130(constB21, bitIndex2) <=> b101(bitIndex2))) | v130(constB21, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11588, 10567])).
% 8.32/5.90 tff(11590,plain,
% 8.32/5.90 (v130(constB21, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11589, 11587])).
% 8.32/5.90 tff(11591,plain,
% 8.32/5.90 ((~(v127(constB21, bitIndex2) <=> v130(constB21, bitIndex2))) | v127(constB21, bitIndex2) | (~v130(constB21, bitIndex2))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11592,plain,
% 8.32/5.90 (v127(constB21, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11591, 11590, 11578])).
% 8.32/5.90 tff(11593,plain,
% 8.32/5.90 ((~(v129(constB22, bitIndex2) <=> v127(constB21, bitIndex2))) | v129(constB22, bitIndex2) | (~v127(constB21, bitIndex2))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11594,plain,
% 8.32/5.90 (v129(constB22, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11593, 11592, 11570])).
% 8.32/5.90 tff(11595,plain,
% 8.32/5.90 ((~(v90(constB22, bitIndex2) <=> v129(constB22, bitIndex2))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11596,plain,
% 8.32/5.90 (v90(constB22, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11595, 11594, 11562])).
% 8.32/5.90 tff(11597,plain,
% 8.32/5.90 ((~(v90(constB23, bitIndex2) <=> v90(constB22, bitIndex2))) | v90(constB23, bitIndex2) | (~v90(constB22, bitIndex2))),
% 8.32/5.90 inference(tautology,[status(thm)],[])).
% 8.32/5.90 tff(11598,plain,
% 8.32/5.90 (v90(constB23, bitIndex2)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11597, 11596, 8621])).
% 8.32/5.90 tff(11599,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11600,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11601,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11600, 11599])).
% 8.32/5.90 tff(11602,plain,
% 8.32/5.90 (v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11601, 9653, 8617])).
% 8.32/5.90 tff(11603,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11604,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11605,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex0)) | (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11604, 11603])).
% 8.32/5.90 tff(11606,plain,
% 8.32/5.90 (v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0)),
% 8.32/5.90 inference(unit_resolution,[status(thm)],[11605, 9653, 11558])).
% 8.32/5.90 tff(11607,plain,
% 8.32/5.90 (((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)))),
% 8.32/5.90 inference(rewrite,[status(thm)],[])).
% 8.32/5.90 tff(11608,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)))),
% 8.32/5.90 inference(quant_inst,[status(thm)],[])).
% 8.32/5.90 tff(11609,plain,
% 8.32/5.90 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex0)) | (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0))),
% 8.32/5.90 inference(modus_ponens,[status(thm)],[11608, 11607])).
% 8.32/5.91 tff(11610,plain,
% 8.32/5.91 (v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11609, 9653, 11566])).
% 8.32/5.91 tff(11611,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11612,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11613,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex0)) | (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11612, 11611])).
% 8.32/5.91 tff(11614,plain,
% 8.32/5.91 (v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11613, 9653, 11574])).
% 8.32/5.91 tff(11615,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b101(bitIndex0)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11616,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b101(bitIndex0)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11617,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB21, bitIndex0) <=> b101(bitIndex0))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11616, 11615])).
% 8.32/5.91 tff(11618,plain,
% 8.32/5.91 (v130(constB21, bitIndex0) <=> b101(bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11617, 9653, 11583])).
% 8.32/5.91 tff(11619,plain,
% 8.32/5.91 ((~(v130(constB21, bitIndex0) <=> b101(bitIndex0))) | v130(constB21, bitIndex0) | (~b101(bitIndex0))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11620,plain,
% 8.32/5.91 ((~(v130(constB21, bitIndex0) <=> b101(bitIndex0))) | v130(constB21, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11619, 10601])).
% 8.32/5.91 tff(11621,plain,
% 8.32/5.91 (v130(constB21, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11620, 11618])).
% 8.32/5.91 tff(11622,plain,
% 8.32/5.91 ((~(v127(constB21, bitIndex0) <=> v130(constB21, bitIndex0))) | v127(constB21, bitIndex0) | (~v130(constB21, bitIndex0))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11623,plain,
% 8.32/5.91 (v127(constB21, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11622, 11621, 11614])).
% 8.32/5.91 tff(11624,plain,
% 8.32/5.91 ((~(v129(constB22, bitIndex0) <=> v127(constB21, bitIndex0))) | v129(constB22, bitIndex0) | (~v127(constB21, bitIndex0))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11625,plain,
% 8.32/5.91 (v129(constB22, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11624, 11623, 11610])).
% 8.32/5.91 tff(11626,plain,
% 8.32/5.91 ((~(v90(constB22, bitIndex0) <=> v129(constB22, bitIndex0))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11627,plain,
% 8.32/5.91 (v90(constB22, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11626, 11625, 11606])).
% 8.32/5.91 tff(11628,plain,
% 8.32/5.91 ((~(v90(constB23, bitIndex0) <=> v90(constB22, bitIndex0))) | v90(constB23, bitIndex0) | (~v90(constB22, bitIndex0))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11629,plain,
% 8.32/5.91 (v90(constB23, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11628, 11627, 11602])).
% 8.32/5.91 tff(11630,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11631,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11632,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB23, B) <=> v90(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 8.32/5.91 tff(11633,plain,
% 8.32/5.91 (v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11632, 375, 8617])).
% 8.32/5.91 tff(11634,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11635,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | ((~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11636,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB22, B) <=> v129(constB22, B)))) | (~less_3(bitIndex1)) | (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 8.32/5.91 tff(11637,plain,
% 8.32/5.91 (v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11636, 375, 11558])).
% 8.32/5.91 tff(11638,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11639,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | ((~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11640,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB22, B) <=> v127(constB21, B)))) | (~less_3(bitIndex1)) | (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 8.32/5.91 tff(11641,plain,
% 8.32/5.91 (v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11640, 375, 11566])).
% 8.32/5.91 tff(11642,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11643,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | ((~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11644,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB21, B) <=> v130(constB21, B)))) | (~less_3(bitIndex1)) | (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 8.32/5.91 tff(11645,plain,
% 8.32/5.91 (v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11644, 375, 11574])).
% 8.32/5.91 tff(11646,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b101(bitIndex1)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11647,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b101(bitIndex1)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11648,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB21, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB21, bitIndex1) <=> b101(bitIndex1))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 8.32/5.91 tff(11649,plain,
% 8.32/5.91 (v130(constB21, bitIndex1) <=> b101(bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11648, 375, 11583])).
% 8.32/5.91 tff(11650,plain,
% 8.32/5.91 ((~(v130(constB21, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB21, bitIndex1)) | b101(bitIndex1)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11651,plain,
% 8.32/5.91 ((~(v130(constB21, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB21, bitIndex1))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11650, 10635])).
% 8.32/5.91 tff(11652,plain,
% 8.32/5.91 (~v130(constB21, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11651, 11649])).
% 8.32/5.91 tff(11653,plain,
% 8.32/5.91 ((~(v127(constB21, bitIndex1) <=> v130(constB21, bitIndex1))) | (~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11654,plain,
% 8.32/5.91 (~v127(constB21, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11653, 11652, 11645])).
% 8.32/5.91 tff(11655,plain,
% 8.32/5.91 ((~(v129(constB22, bitIndex1) <=> v127(constB21, bitIndex1))) | (~v129(constB22, bitIndex1)) | v127(constB21, bitIndex1)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11656,plain,
% 8.32/5.91 (~v129(constB22, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11655, 11654, 11641])).
% 8.32/5.91 tff(11657,plain,
% 8.32/5.91 ((~(v90(constB22, bitIndex1) <=> v129(constB22, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11658,plain,
% 8.32/5.91 (~v90(constB22, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11657, 11656, 11637])).
% 8.32/5.91 tff(11659,plain,
% 8.32/5.91 ((~(v90(constB23, bitIndex1) <=> v90(constB22, bitIndex1))) | (~v90(constB23, bitIndex1)) | v90(constB22, bitIndex1)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11660,plain,
% 8.32/5.91 (~v90(constB23, bitIndex1)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11659, 11658, 11633])).
% 8.32/5.91 tff(11661,plain,
% 8.32/5.91 ((~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))) | (~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11662,plain,
% 8.32/5.91 (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11661, 11660, 11629, 11598])).
% 8.32/5.91 tff(11663,plain,
% 8.32/5.91 ((~(v124(constB23) <=> (~((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))))) | v124(constB23) | ((~v90(constB23, bitIndex2)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11664,plain,
% 8.32/5.91 (v124(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11663, 11662, 8589])).
% 8.32/5.91 tff(11665,plain,
% 8.32/5.91 ((v115(constB23) | v124(constB23)) | (~v124(constB23))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11666,plain,
% 8.32/5.91 (v115(constB23) | v124(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11665, 11664])).
% 8.32/5.91 tff(11667,plain,
% 8.32/5.91 ((~(v114(constB23) <=> (v115(constB23) | v124(constB23)))) | v114(constB23) | (~(v115(constB23) | v124(constB23)))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11668,plain,
% 8.32/5.91 (v114(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11667, 11666, 8582])).
% 8.32/5.91 tff(11669,plain,
% 8.32/5.91 ((v114(constB23) | v125(constB23)) | (~v114(constB23))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11670,plain,
% 8.32/5.91 (v114(constB23) | v125(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11669, 11668])).
% 8.32/5.91 tff(11671,plain,
% 8.32/5.91 ((~(v113(constB23) <=> (v114(constB23) | v125(constB23)))) | v113(constB23) | (~(v114(constB23) | v125(constB23)))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11672,plain,
% 8.32/5.91 (v113(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11671, 11670, 8580])).
% 8.32/5.91 tff(11673,plain,
% 8.32/5.91 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB23)) <=> v111(constB23))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11674,plain,
% 8.32/5.91 ((~v126(constB23)) <=> v111(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11673, 9720])).
% 8.32/5.91 tff(11675,plain,
% 8.32/5.91 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB23) <=> v26(constB23))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11676,plain,
% 8.32/5.91 (v111(constB23) <=> v26(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11675, 9732])).
% 8.32/5.91 tff(11677,plain,
% 8.32/5.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11678,plain,
% 8.32/5.91 (~v26(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11677, 9744])).
% 8.32/5.91 tff(11679,plain,
% 8.32/5.91 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23)) | v26(constB23)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11680,plain,
% 8.32/5.91 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11679, 11678])).
% 8.32/5.91 tff(11681,plain,
% 8.32/5.91 (~v111(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11680, 11676])).
% 8.32/5.91 tff(11682,plain,
% 8.32/5.91 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23) | v111(constB23)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11683,plain,
% 8.32/5.91 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11682, 11681])).
% 8.32/5.91 tff(11684,plain,
% 8.32/5.91 (v126(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11683, 11674])).
% 8.32/5.91 tff(11685,plain,
% 8.32/5.91 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23)) | (~v126(constB23))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11686,plain,
% 8.32/5.91 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11685, 11684])).
% 8.32/5.91 tff(11687,plain,
% 8.32/5.91 (~((~v113(constB23)) | (~v126(constB23)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11686, 11672])).
% 8.32/5.91 tff(11688,plain,
% 8.32/5.91 ((~(v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))) | v112(constB23) | ((~v113(constB23)) | (~v126(constB23)))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11689,plain,
% 8.32/5.91 (v112(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11688, 11687, 8578])).
% 8.32/5.91 tff(11690,plain,
% 8.32/5.91 ((v111(constB23) | v112(constB23)) | (~v112(constB23))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11691,plain,
% 8.32/5.91 (v111(constB23) | v112(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11690, 11689])).
% 8.32/5.91 tff(11692,plain,
% 8.32/5.91 ((~(v108(constB23) <=> (v111(constB23) | v112(constB23)))) | v108(constB23) | (~(v111(constB23) | v112(constB23)))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11693,plain,
% 8.32/5.91 (v108(constB23)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11692, 11691, 8576])).
% 8.32/5.91 tff(11694,plain,
% 8.32/5.91 ((~(v110(constB24) <=> v108(constB23))) | v110(constB24) | (~v108(constB23))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11695,plain,
% 8.32/5.91 (v110(constB24)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11694, 11693, 8574])).
% 8.32/5.91 tff(11696,plain,
% 8.32/5.91 ((~((~v101(constB24)) | (~v110(constB24)))) | (~v101(constB24)) | (~v110(constB24))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11697,plain,
% 8.32/5.91 (~((~v101(constB24)) | (~v110(constB24)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11696, 11695, 8570])).
% 8.32/5.91 tff(11698,plain,
% 8.32/5.91 ((~(v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))) | v100(constB24) | ((~v101(constB24)) | (~v110(constB24)))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11699,plain,
% 8.32/5.91 (v100(constB24)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11698, 11697, 8539])).
% 8.32/5.91 tff(11700,plain,
% 8.32/5.91 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B))))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11701,plain,
% 8.32/5.91 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B))))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11702,plain,
% 8.32/5.91 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11701, 11700])).
% 8.32/5.91 tff(11703,plain,
% 8.32/5.91 ((~v100(constB24)) | ![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11702, 9780])).
% 8.32/5.91 tff(11704,plain,
% 8.32/5.91 (![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11703, 11699])).
% 8.32/5.91 tff(11705,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11706,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11707,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex2)) | (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11706, 11705])).
% 8.32/5.91 tff(11708,plain,
% 8.32/5.91 (v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11707, 648, 11704])).
% 8.32/5.91 tff(11709,plain,
% 8.32/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B))))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11710,plain,
% 8.32/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B))))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11711,plain,
% 8.32/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 8.32/5.91 tff(11712,plain,
% 8.32/5.91 (![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11711, 8535, 9802])).
% 8.32/5.91 tff(11713,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11714,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11715,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex2)) | (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 8.32/5.91 tff(11716,plain,
% 8.32/5.91 (v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11715, 648, 11712])).
% 8.32/5.91 tff(11717,plain,
% 8.32/5.91 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB23) | ![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB23) | ![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B))))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11718,plain,
% 8.32/5.91 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB23) | ![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B))))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11719,plain,
% 8.32/5.91 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB23) | ![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 8.32/5.91 tff(11720,plain,
% 8.32/5.91 (![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11719, 9823, 11681])).
% 8.32/5.91 tff(11721,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11722,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11723,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex2)) | (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11722, 11721])).
% 8.32/5.91 tff(11724,plain,
% 8.32/5.91 (v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11723, 648, 11720])).
% 8.32/5.91 tff(11725,plain,
% 8.32/5.91 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B))))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11726,plain,
% 8.32/5.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B))))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11727,plain,
% 8.32/5.91 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11726, 11725])).
% 8.32/5.91 tff(11728,plain,
% 8.32/5.91 ((~v124(constB23)) | ![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11727, 10723])).
% 8.32/5.91 tff(11729,plain,
% 8.32/5.91 (![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11728, 11664])).
% 8.32/5.91 tff(11730,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11731,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11732,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB23, bitIndex2) <=> b110(bitIndex2))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11731, 11730])).
% 8.32/5.91 tff(11733,plain,
% 8.32/5.91 (v130(constB23, bitIndex2) <=> b110(bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11732, 648, 11729])).
% 8.32/5.91 tff(11734,plain,
% 8.32/5.91 ((~(v130(constB23, bitIndex2) <=> b110(bitIndex2))) | v130(constB23, bitIndex2) | (~b110(bitIndex2))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11735,plain,
% 8.32/5.91 ((~(v130(constB23, bitIndex2) <=> b110(bitIndex2))) | v130(constB23, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11734, 10735])).
% 8.32/5.91 tff(11736,plain,
% 8.32/5.91 (v130(constB23, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11735, 11733])).
% 8.32/5.91 tff(11737,plain,
% 8.32/5.91 ((~(v127(constB23, bitIndex2) <=> v130(constB23, bitIndex2))) | v127(constB23, bitIndex2) | (~v130(constB23, bitIndex2))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11738,plain,
% 8.32/5.91 (v127(constB23, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11737, 11736, 11724])).
% 8.32/5.91 tff(11739,plain,
% 8.32/5.91 ((~(v129(constB24, bitIndex2) <=> v127(constB23, bitIndex2))) | v129(constB24, bitIndex2) | (~v127(constB23, bitIndex2))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11740,plain,
% 8.32/5.91 (v129(constB24, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11739, 11738, 11716])).
% 8.32/5.91 tff(11741,plain,
% 8.32/5.91 ((~(v90(constB24, bitIndex2) <=> v129(constB24, bitIndex2))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11742,plain,
% 8.32/5.91 (v90(constB24, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11741, 11740, 11708])).
% 8.32/5.91 tff(11743,plain,
% 8.32/5.91 ((~(v90(constB25, bitIndex2) <=> v90(constB24, bitIndex2))) | v90(constB25, bitIndex2) | (~v90(constB24, bitIndex2))),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11744,plain,
% 8.32/5.91 (v90(constB25, bitIndex2)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11743, 11742, 8532])).
% 8.32/5.91 tff(11745,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11746,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11747,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11746, 11745])).
% 8.32/5.91 tff(11748,plain,
% 8.32/5.91 (v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11747, 9653, 8528])).
% 8.32/5.91 tff(11749,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11750,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11751,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex0)) | (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11750, 11749])).
% 8.32/5.91 tff(11752,plain,
% 8.32/5.91 (v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11751, 9653, 11704])).
% 8.32/5.91 tff(11753,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11754,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11755,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex0)) | (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11754, 11753])).
% 8.32/5.91 tff(11756,plain,
% 8.32/5.91 (v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11755, 9653, 11712])).
% 8.32/5.91 tff(11757,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11758,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11759,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex0)) | (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11758, 11757])).
% 8.32/5.91 tff(11760,plain,
% 8.32/5.91 (v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11759, 9653, 11720])).
% 8.32/5.91 tff(11761,plain,
% 8.32/5.91 (((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0)))),
% 8.32/5.91 inference(rewrite,[status(thm)],[])).
% 8.32/5.91 tff(11762,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0)))),
% 8.32/5.91 inference(quant_inst,[status(thm)],[])).
% 8.32/5.91 tff(11763,plain,
% 8.32/5.91 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB23, bitIndex0) <=> b110(bitIndex0))),
% 8.32/5.91 inference(modus_ponens,[status(thm)],[11762, 11761])).
% 8.32/5.91 tff(11764,plain,
% 8.32/5.91 (v130(constB23, bitIndex0) <=> b110(bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11763, 9653, 11729])).
% 8.32/5.91 tff(11765,plain,
% 8.32/5.91 ((~(v130(constB23, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB23, bitIndex0)) | b110(bitIndex0)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11766,plain,
% 8.32/5.91 ((~(v130(constB23, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB23, bitIndex0))),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11765, 10769])).
% 8.32/5.91 tff(11767,plain,
% 8.32/5.91 (~v130(constB23, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11766, 11764])).
% 8.32/5.91 tff(11768,plain,
% 8.32/5.91 ((~(v127(constB23, bitIndex0) <=> v130(constB23, bitIndex0))) | (~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11769,plain,
% 8.32/5.91 (~v127(constB23, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11768, 11767, 11760])).
% 8.32/5.91 tff(11770,plain,
% 8.32/5.91 ((~(v129(constB24, bitIndex0) <=> v127(constB23, bitIndex0))) | (~v129(constB24, bitIndex0)) | v127(constB23, bitIndex0)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11771,plain,
% 8.32/5.91 (~v129(constB24, bitIndex0)),
% 8.32/5.91 inference(unit_resolution,[status(thm)],[11770, 11769, 11756])).
% 8.32/5.91 tff(11772,plain,
% 8.32/5.91 ((~(v90(constB24, bitIndex0) <=> v129(constB24, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0)),
% 8.32/5.91 inference(tautology,[status(thm)],[])).
% 8.32/5.91 tff(11773,plain,
% 8.32/5.91 (~v90(constB24, bitIndex0)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11772, 11771, 11752])).
% 8.32/5.92 tff(11774,plain,
% 8.32/5.92 ((~(v90(constB25, bitIndex0) <=> v90(constB24, bitIndex0))) | (~v90(constB25, bitIndex0)) | v90(constB24, bitIndex0)),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11775,plain,
% 8.32/5.92 (~v90(constB25, bitIndex0)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11774, 11773, 11748])).
% 8.32/5.92 tff(11776,plain,
% 8.32/5.92 (((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11777,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11778,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB25, B) <=> v90(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11777, 11776])).
% 8.32/5.92 tff(11779,plain,
% 8.32/5.92 (v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11778, 375, 8528])).
% 8.32/5.92 tff(11780,plain,
% 8.32/5.92 (((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11781,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | ((~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11782,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB24, B) <=> v129(constB24, B)))) | (~less_3(bitIndex1)) | (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 8.32/5.92 tff(11783,plain,
% 8.32/5.92 (v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11782, 375, 11704])).
% 8.32/5.92 tff(11784,plain,
% 8.32/5.92 (((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11785,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | ((~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11786,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB24, B) <=> v127(constB23, B)))) | (~less_3(bitIndex1)) | (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11785, 11784])).
% 8.32/5.92 tff(11787,plain,
% 8.32/5.92 (v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11786, 375, 11712])).
% 8.32/5.92 tff(11788,plain,
% 8.32/5.92 (((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11789,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | ((~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11790,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB23, B) <=> v130(constB23, B)))) | (~less_3(bitIndex1)) | (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 8.32/5.92 tff(11791,plain,
% 8.32/5.92 (v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11790, 375, 11720])).
% 8.32/5.92 tff(11792,plain,
% 8.32/5.92 (((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1)))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11793,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1)))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11794,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v130(constB23, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB23, bitIndex1) <=> b110(bitIndex1))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 8.32/5.92 tff(11795,plain,
% 8.32/5.92 (v130(constB23, bitIndex1) <=> b110(bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11794, 375, 11729])).
% 8.32/5.92 tff(11796,plain,
% 8.32/5.92 ((~(v130(constB23, bitIndex1) <=> b110(bitIndex1))) | v130(constB23, bitIndex1) | (~b110(bitIndex1))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11797,plain,
% 8.32/5.92 ((~(v130(constB23, bitIndex1) <=> b110(bitIndex1))) | v130(constB23, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11796, 10803])).
% 8.32/5.92 tff(11798,plain,
% 8.32/5.92 (v130(constB23, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11797, 11795])).
% 8.32/5.92 tff(11799,plain,
% 8.32/5.92 ((~(v127(constB23, bitIndex1) <=> v130(constB23, bitIndex1))) | v127(constB23, bitIndex1) | (~v130(constB23, bitIndex1))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11800,plain,
% 8.32/5.92 (v127(constB23, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11799, 11798, 11791])).
% 8.32/5.92 tff(11801,plain,
% 8.32/5.92 ((~(v129(constB24, bitIndex1) <=> v127(constB23, bitIndex1))) | v129(constB24, bitIndex1) | (~v127(constB23, bitIndex1))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11802,plain,
% 8.32/5.92 (v129(constB24, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11801, 11800, 11787])).
% 8.32/5.92 tff(11803,plain,
% 8.32/5.92 ((~(v90(constB24, bitIndex1) <=> v129(constB24, bitIndex1))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11804,plain,
% 8.32/5.92 (v90(constB24, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11803, 11802, 11783])).
% 8.32/5.92 tff(11805,plain,
% 8.32/5.92 ((~(v90(constB25, bitIndex1) <=> v90(constB24, bitIndex1))) | v90(constB25, bitIndex1) | (~v90(constB24, bitIndex1))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11806,plain,
% 8.32/5.92 (v90(constB25, bitIndex1)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11805, 11804, 11779])).
% 8.32/5.92 tff(11807,plain,
% 8.32/5.92 ((~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11808,plain,
% 8.32/5.92 (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11807, 11806, 11775, 11744])).
% 8.32/5.92 tff(11809,plain,
% 8.32/5.92 ((~(v125(constB25) <=> (~((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) | v125(constB25) | ((~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11810,plain,
% 8.32/5.92 (v125(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11809, 11808, 8500])).
% 8.32/5.92 tff(11811,plain,
% 8.32/5.92 ((v114(constB25) | v125(constB25)) | (~v125(constB25))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11812,plain,
% 8.32/5.92 (v114(constB25) | v125(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11811, 11810])).
% 8.32/5.92 tff(11813,plain,
% 8.32/5.92 ((~(v113(constB25) <=> (v114(constB25) | v125(constB25)))) | v113(constB25) | (~(v114(constB25) | v125(constB25)))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11814,plain,
% 8.32/5.92 (v113(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11813, 11812, 8493])).
% 8.32/5.92 tff(11815,plain,
% 8.32/5.92 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB25)) <=> v111(constB25))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11816,plain,
% 8.32/5.92 ((~v126(constB25)) <=> v111(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11815, 9720])).
% 8.32/5.92 tff(11817,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB25) <=> v26(constB25))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11818,plain,
% 8.32/5.92 (v111(constB25) <=> v26(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11817, 9732])).
% 8.32/5.92 tff(11819,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11820,plain,
% 8.32/5.92 (~v26(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11819, 9744])).
% 8.32/5.92 tff(11821,plain,
% 8.32/5.92 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25)) | v26(constB25)),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11822,plain,
% 8.32/5.92 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11821, 11820])).
% 8.32/5.92 tff(11823,plain,
% 8.32/5.92 (~v111(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11822, 11818])).
% 8.32/5.92 tff(11824,plain,
% 8.32/5.92 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25) | v111(constB25)),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11825,plain,
% 8.32/5.92 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11824, 11823])).
% 8.32/5.92 tff(11826,plain,
% 8.32/5.92 (v126(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11825, 11816])).
% 8.32/5.92 tff(11827,plain,
% 8.32/5.92 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25)) | (~v126(constB25))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11828,plain,
% 8.32/5.92 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11827, 11826])).
% 8.32/5.92 tff(11829,plain,
% 8.32/5.92 (~((~v113(constB25)) | (~v126(constB25)))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11828, 11814])).
% 8.32/5.92 tff(11830,plain,
% 8.32/5.92 ((~(v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))) | v112(constB25) | ((~v113(constB25)) | (~v126(constB25)))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11831,plain,
% 8.32/5.92 (v112(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11830, 11829, 8491])).
% 8.32/5.92 tff(11832,plain,
% 8.32/5.92 ((v111(constB25) | v112(constB25)) | (~v112(constB25))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11833,plain,
% 8.32/5.92 (v111(constB25) | v112(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11832, 11831])).
% 8.32/5.92 tff(11834,plain,
% 8.32/5.92 ((~(v108(constB25) <=> (v111(constB25) | v112(constB25)))) | v108(constB25) | (~(v111(constB25) | v112(constB25)))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11835,plain,
% 8.32/5.92 (v108(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11834, 11833, 8489])).
% 8.32/5.92 tff(11836,plain,
% 8.32/5.92 ((~(v110(constB26) <=> v108(constB25))) | v110(constB26) | (~v108(constB25))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11837,plain,
% 8.32/5.92 (v110(constB26)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11836, 11835, 8487])).
% 8.32/5.92 tff(11838,plain,
% 8.32/5.92 ((~((~v101(constB26)) | (~v110(constB26)))) | (~v101(constB26)) | (~v110(constB26))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11839,plain,
% 8.32/5.92 (~((~v101(constB26)) | (~v110(constB26)))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11838, 11837, 8483])).
% 8.32/5.92 tff(11840,plain,
% 8.32/5.92 ((~(v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))) | v100(constB26) | ((~v101(constB26)) | (~v110(constB26)))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11841,plain,
% 8.32/5.92 (v100(constB26)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11840, 11839, 8452])).
% 8.32/5.92 tff(11842,plain,
% 8.32/5.92 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11843,plain,
% 8.32/5.92 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B))))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11844,plain,
% 8.32/5.92 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11843, 11842])).
% 8.32/5.92 tff(11845,plain,
% 8.32/5.92 ((~v100(constB26)) | ![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11844, 9780])).
% 8.32/5.92 tff(11846,plain,
% 8.32/5.92 (![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11845, 11841])).
% 8.32/5.92 tff(11847,plain,
% 8.32/5.92 (((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11848,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11849,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex2)) | (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11848, 11847])).
% 8.32/5.92 tff(11850,plain,
% 8.32/5.92 (v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11849, 648, 11846])).
% 8.32/5.92 tff(11851,plain,
% 8.32/5.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11852,plain,
% 8.32/5.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B))))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11853,plain,
% 8.32/5.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11852, 11851])).
% 8.32/5.92 tff(11854,plain,
% 8.32/5.92 (![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11853, 8448, 9802])).
% 8.32/5.92 tff(11855,plain,
% 8.32/5.92 (((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11856,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11857,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex2)) | (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11856, 11855])).
% 8.32/5.92 tff(11858,plain,
% 8.32/5.92 (v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11857, 648, 11854])).
% 8.32/5.92 tff(11859,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB25) | ![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB25) | ![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11860,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB25) | ![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B))))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11861,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB25) | ![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11860, 11859])).
% 8.32/5.92 tff(11862,plain,
% 8.32/5.92 (![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11861, 9823, 11823])).
% 8.32/5.92 tff(11863,plain,
% 8.32/5.92 (((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11864,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11865,plain,
% 8.32/5.92 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex2)) | (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11864, 11863])).
% 8.32/5.92 tff(11866,plain,
% 8.32/5.92 (v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11865, 648, 11862])).
% 8.32/5.92 tff(11867,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11868,plain,
% 8.32/5.92 (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11867, 9620])).
% 8.32/5.92 tff(11869,plain,
% 8.32/5.92 ((v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex2))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11870,plain,
% 8.32/5.92 (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11869, 11744])).
% 8.32/5.92 tff(11871,plain,
% 8.32/5.92 ((~(v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))) | (~v119(constB25)) | (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11872,plain,
% 8.32/5.92 (~v119(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11871, 11870, 11868])).
% 8.32/5.92 tff(11873,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11874,plain,
% 8.32/5.92 ((v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2))))) <=> (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11875,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.92 inference(monotonicity,[status(thm)],[11874])).
% 8.32/5.92 tff(11876,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.92 inference(transitivity,[status(thm)],[11875, 11873])).
% 8.32/5.92 tff(11877,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11878,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11877, 11876])).
% 8.32/5.92 tff(11879,plain,
% 8.32/5.92 (v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11878, 815])).
% 8.32/5.92 tff(11880,plain,
% 8.32/5.92 (((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex1))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11881,plain,
% 8.32/5.92 ((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11880, 11806])).
% 8.32/5.92 tff(11882,plain,
% 8.32/5.92 ((~(v124(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) | (~v124(constB25)) | (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11883,plain,
% 8.32/5.92 (~v124(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11882, 11881, 11879])).
% 8.32/5.92 tff(11884,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11885,plain,
% 8.32/5.92 ((v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2))))) <=> (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11886,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(monotonicity,[status(thm)],[11885])).
% 8.32/5.92 tff(11887,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(transitivity,[status(thm)],[11886, 11884])).
% 8.32/5.92 tff(11888,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11889,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 8.32/5.92 tff(11890,plain,
% 8.32/5.92 (v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11889, 919])).
% 8.32/5.92 tff(11891,plain,
% 8.32/5.92 (((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11892,plain,
% 8.32/5.92 ((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11891, 11806])).
% 8.32/5.92 tff(11893,plain,
% 8.32/5.92 ((~(v123(constB25) <=> (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0))))) | (~v123(constB25)) | (~((~v90(constB25, bitIndex2)) | v90(constB25, bitIndex1) | v90(constB25, bitIndex0)))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11894,plain,
% 8.32/5.92 (~v123(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11893, 11892, 11890])).
% 8.32/5.92 tff(11895,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11896,plain,
% 8.32/5.92 ((v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1))))) <=> (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11897,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.92 inference(monotonicity,[status(thm)],[11896])).
% 8.32/5.92 tff(11898,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.92 inference(transitivity,[status(thm)],[11897, 11895])).
% 8.32/5.92 tff(11899,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))),
% 8.32/5.92 inference(quant_inst,[status(thm)],[])).
% 8.32/5.92 tff(11900,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(modus_ponens,[status(thm)],[11899, 11898])).
% 8.32/5.92 tff(11901,plain,
% 8.32/5.92 (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11900, 1025])).
% 8.32/5.92 tff(11902,plain,
% 8.32/5.92 ((v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11903,plain,
% 8.32/5.92 (v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11902, 11744])).
% 8.32/5.92 tff(11904,plain,
% 8.32/5.92 ((~(v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))) | (~v122(constB25)) | (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 8.32/5.92 inference(tautology,[status(thm)],[])).
% 8.32/5.92 tff(11905,plain,
% 8.32/5.92 (~v122(constB25)),
% 8.32/5.92 inference(unit_resolution,[status(thm)],[11904, 11903, 11901])).
% 8.32/5.92 tff(11906,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11907,plain,
% 8.32/5.92 ((v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1))))) <=> (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 8.32/5.92 inference(rewrite,[status(thm)],[])).
% 8.32/5.92 tff(11908,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(monotonicity,[status(thm)],[11907])).
% 8.32/5.92 tff(11909,plain,
% 8.32/5.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))))),
% 8.32/5.92 inference(transitivity,[status(thm)],[11908, 11906])).
% 8.32/5.92 tff(11910,plain,
% 8.32/5.92 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11911,plain,
% 8.32/5.93 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 8.32/5.93 tff(11912,plain,
% 8.32/5.93 (v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11911, 1133])).
% 8.32/5.93 tff(11913,plain,
% 8.32/5.93 ((v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11914,plain,
% 8.32/5.93 (v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11913, 11744])).
% 8.32/5.93 tff(11915,plain,
% 8.32/5.93 ((~(v121(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0))))) | (~v121(constB25)) | (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex0)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11916,plain,
% 8.32/5.93 (~v121(constB25)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11915, 11914, 11912])).
% 8.32/5.93 tff(11917,plain,
% 8.32/5.93 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11918,plain,
% 8.32/5.93 ((v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))))) <=> (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11919,plain,
% 8.32/5.93 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.93 inference(monotonicity,[status(thm)],[11918])).
% 8.32/5.93 tff(11920,plain,
% 8.32/5.93 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))))),
% 8.32/5.93 inference(transitivity,[status(thm)],[11919, 11917])).
% 8.32/5.93 tff(11921,plain,
% 8.32/5.93 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11922,plain,
% 8.32/5.93 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11921, 11920])).
% 8.32/5.93 tff(11923,plain,
% 8.32/5.93 (v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11922, 610])).
% 8.32/5.93 tff(11924,plain,
% 8.32/5.93 ((v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11925,plain,
% 8.32/5.93 (v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11924, 11744])).
% 8.32/5.93 tff(11926,plain,
% 8.32/5.93 ((~(v120(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)))))) | (~v120(constB25)) | (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0))))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11927,plain,
% 8.32/5.93 (~v120(constB25)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11926, 11925, 11923])).
% 8.32/5.93 tff(11928,plain,
% 8.32/5.93 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11929,plain,
% 8.32/5.93 ((v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) <=> (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11930,plain,
% 8.32/5.93 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))))),
% 8.32/5.93 inference(monotonicity,[status(thm)],[11929])).
% 8.32/5.93 tff(11931,plain,
% 8.32/5.93 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 8.32/5.93 inference(transitivity,[status(thm)],[11930, 11928])).
% 8.32/5.93 tff(11932,plain,
% 8.32/5.93 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B))))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11933,plain,
% 8.32/5.93 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11932, 11931])).
% 8.32/5.93 tff(11934,plain,
% 8.32/5.93 (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | ![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11933, 10951])).
% 8.32/5.93 tff(11935,plain,
% 8.32/5.93 (![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11934, 11927, 11916, 11905, 11894, 11883, 11872])).
% 8.32/5.93 tff(11936,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11937,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11938,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB25, bitIndex2) <=> b001(bitIndex2))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11937, 11936])).
% 8.32/5.93 tff(11939,plain,
% 8.32/5.93 (v130(constB25, bitIndex2) <=> b001(bitIndex2)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11938, 648, 11935])).
% 8.32/5.93 tff(11940,plain,
% 8.32/5.93 ((~(v130(constB25, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB25, bitIndex2)) | b001(bitIndex2)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11941,plain,
% 8.32/5.93 ((~(v130(constB25, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB25, bitIndex2))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11940, 9855])).
% 8.32/5.93 tff(11942,plain,
% 8.32/5.93 (~v130(constB25, bitIndex2)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11941, 11939])).
% 8.32/5.93 tff(11943,plain,
% 8.32/5.93 ((~(v127(constB25, bitIndex2) <=> v130(constB25, bitIndex2))) | (~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11944,plain,
% 8.32/5.93 (~v127(constB25, bitIndex2)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11943, 11942, 11866])).
% 8.32/5.93 tff(11945,plain,
% 8.32/5.93 ((~(v129(constB26, bitIndex2) <=> v127(constB25, bitIndex2))) | (~v129(constB26, bitIndex2)) | v127(constB25, bitIndex2)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11946,plain,
% 8.32/5.93 (~v129(constB26, bitIndex2)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11945, 11944, 11858])).
% 8.32/5.93 tff(11947,plain,
% 8.32/5.93 ((~(v90(constB26, bitIndex2) <=> v129(constB26, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11948,plain,
% 8.32/5.93 (~v90(constB26, bitIndex2)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11947, 11946, 11850])).
% 8.32/5.93 tff(11949,plain,
% 8.32/5.93 ((~(v90(constB27, bitIndex2) <=> v90(constB26, bitIndex2))) | (~v90(constB27, bitIndex2)) | v90(constB26, bitIndex2)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11950,plain,
% 8.32/5.93 (~v90(constB27, bitIndex2)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11949, 11948, 8445])).
% 8.32/5.93 tff(11951,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11952,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11953,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11952, 11951])).
% 8.32/5.93 tff(11954,plain,
% 8.32/5.93 (v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11953, 9653, 8441])).
% 8.32/5.93 tff(11955,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11956,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11957,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex0)) | (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11956, 11955])).
% 8.32/5.93 tff(11958,plain,
% 8.32/5.93 (v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11957, 9653, 11846])).
% 8.32/5.93 tff(11959,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11960,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11961,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex0)) | (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 8.32/5.93 tff(11962,plain,
% 8.32/5.93 (v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11961, 9653, 11854])).
% 8.32/5.93 tff(11963,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11964,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11965,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex0)) | (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11964, 11963])).
% 8.32/5.93 tff(11966,plain,
% 8.32/5.93 (v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11965, 9653, 11862])).
% 8.32/5.93 tff(11967,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11968,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11969,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB25, bitIndex0) <=> b001(bitIndex0))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11968, 11967])).
% 8.32/5.93 tff(11970,plain,
% 8.32/5.93 (v130(constB25, bitIndex0) <=> b001(bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11969, 9653, 11935])).
% 8.32/5.93 tff(11971,plain,
% 8.32/5.93 ((~(v130(constB25, bitIndex0) <=> b001(bitIndex0))) | v130(constB25, bitIndex0) | (~b001(bitIndex0))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11972,plain,
% 8.32/5.93 ((~(v130(constB25, bitIndex0) <=> b001(bitIndex0))) | v130(constB25, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11971, 9889])).
% 8.32/5.93 tff(11973,plain,
% 8.32/5.93 (v130(constB25, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11972, 11970])).
% 8.32/5.93 tff(11974,plain,
% 8.32/5.93 ((~(v127(constB25, bitIndex0) <=> v130(constB25, bitIndex0))) | v127(constB25, bitIndex0) | (~v130(constB25, bitIndex0))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11975,plain,
% 8.32/5.93 (v127(constB25, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11974, 11973, 11966])).
% 8.32/5.93 tff(11976,plain,
% 8.32/5.93 ((~(v129(constB26, bitIndex0) <=> v127(constB25, bitIndex0))) | v129(constB26, bitIndex0) | (~v127(constB25, bitIndex0))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11977,plain,
% 8.32/5.93 (v129(constB26, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11976, 11975, 11962])).
% 8.32/5.93 tff(11978,plain,
% 8.32/5.93 ((~(v90(constB26, bitIndex0) <=> v129(constB26, bitIndex0))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11979,plain,
% 8.32/5.93 (v90(constB26, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11978, 11977, 11958])).
% 8.32/5.93 tff(11980,plain,
% 8.32/5.93 ((~(v90(constB27, bitIndex0) <=> v90(constB26, bitIndex0))) | v90(constB27, bitIndex0) | (~v90(constB26, bitIndex0))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(11981,plain,
% 8.32/5.93 (v90(constB27, bitIndex0)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11980, 11979, 11954])).
% 8.32/5.93 tff(11982,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11983,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11984,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB27, B) <=> v90(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11983, 11982])).
% 8.32/5.93 tff(11985,plain,
% 8.32/5.93 (v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11984, 375, 8441])).
% 8.32/5.93 tff(11986,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11987,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | ((~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11988,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v90(constB26, B) <=> v129(constB26, B)))) | (~less_3(bitIndex1)) | (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11987, 11986])).
% 8.32/5.93 tff(11989,plain,
% 8.32/5.93 (v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11988, 375, 11846])).
% 8.32/5.93 tff(11990,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11991,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | ((~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11992,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v129(constB26, B) <=> v127(constB25, B)))) | (~less_3(bitIndex1)) | (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11991, 11990])).
% 8.32/5.93 tff(11993,plain,
% 8.32/5.93 (v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11992, 375, 11854])).
% 8.32/5.93 tff(11994,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11995,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | ((~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(11996,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v127(constB25, B) <=> v130(constB25, B)))) | (~less_3(bitIndex1)) | (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11995, 11994])).
% 8.32/5.93 tff(11997,plain,
% 8.32/5.93 (v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[11996, 375, 11862])).
% 8.32/5.93 tff(11998,plain,
% 8.32/5.93 (((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1)))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(11999,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1)))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(12000,plain,
% 8.32/5.93 ((~![B: $i] : ((~less_3(B)) | (v130(constB25, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB25, bitIndex1) <=> b001(bitIndex1))),
% 8.32/5.93 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 8.32/5.93 tff(12001,plain,
% 8.32/5.93 (v130(constB25, bitIndex1) <=> b001(bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12000, 375, 11935])).
% 8.32/5.93 tff(12002,plain,
% 8.32/5.93 ((~(v130(constB25, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB25, bitIndex1)) | b001(bitIndex1)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12003,plain,
% 8.32/5.93 ((~(v130(constB25, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB25, bitIndex1))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12002, 9923])).
% 8.32/5.93 tff(12004,plain,
% 8.32/5.93 (~v130(constB25, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12003, 12001])).
% 8.32/5.93 tff(12005,plain,
% 8.32/5.93 ((~(v127(constB25, bitIndex1) <=> v130(constB25, bitIndex1))) | (~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12006,plain,
% 8.32/5.93 (~v127(constB25, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12005, 12004, 11997])).
% 8.32/5.93 tff(12007,plain,
% 8.32/5.93 ((~(v129(constB26, bitIndex1) <=> v127(constB25, bitIndex1))) | (~v129(constB26, bitIndex1)) | v127(constB25, bitIndex1)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12008,plain,
% 8.32/5.93 (~v129(constB26, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12007, 12006, 11993])).
% 8.32/5.93 tff(12009,plain,
% 8.32/5.93 ((~(v90(constB26, bitIndex1) <=> v129(constB26, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12010,plain,
% 8.32/5.93 (~v90(constB26, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12009, 12008, 11989])).
% 8.32/5.93 tff(12011,plain,
% 8.32/5.93 ((~(v90(constB27, bitIndex1) <=> v90(constB26, bitIndex1))) | (~v90(constB27, bitIndex1)) | v90(constB26, bitIndex1)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12012,plain,
% 8.32/5.93 (~v90(constB27, bitIndex1)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12011, 12010, 11985])).
% 8.32/5.93 tff(12013,plain,
% 8.32/5.93 ((~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))) | v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12014,plain,
% 8.32/5.93 (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12013, 12012, 11981, 11950])).
% 8.32/5.93 tff(12015,plain,
% 8.32/5.93 ((~(v120(constB27) <=> (~(v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))))) | v120(constB27) | (v90(constB27, bitIndex2) | v90(constB27, bitIndex1) | (~v90(constB27, bitIndex0)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12016,plain,
% 8.32/5.93 (v120(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12015, 12014, 8413])).
% 8.32/5.93 tff(12017,plain,
% 8.32/5.93 ((v119(constB27) | v120(constB27)) | (~v120(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12018,plain,
% 8.32/5.93 (v119(constB27) | v120(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12017, 12016])).
% 8.32/5.93 tff(12019,plain,
% 8.32/5.93 ((~(v118(constB27) <=> (v119(constB27) | v120(constB27)))) | v118(constB27) | (~(v119(constB27) | v120(constB27)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12020,plain,
% 8.32/5.93 (v118(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12019, 12018, 8406])).
% 8.32/5.93 tff(12021,plain,
% 8.32/5.93 ((v118(constB27) | v121(constB27)) | (~v118(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12022,plain,
% 8.32/5.93 (v118(constB27) | v121(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12021, 12020])).
% 8.32/5.93 tff(12023,plain,
% 8.32/5.93 ((~(v117(constB27) <=> (v118(constB27) | v121(constB27)))) | v117(constB27) | (~(v118(constB27) | v121(constB27)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12024,plain,
% 8.32/5.93 (v117(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12023, 12022, 8404])).
% 8.32/5.93 tff(12025,plain,
% 8.32/5.93 ((v117(constB27) | v122(constB27)) | (~v117(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12026,plain,
% 8.32/5.93 (v117(constB27) | v122(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12025, 12024])).
% 8.32/5.93 tff(12027,plain,
% 8.32/5.93 ((~(v116(constB27) <=> (v117(constB27) | v122(constB27)))) | v116(constB27) | (~(v117(constB27) | v122(constB27)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12028,plain,
% 8.32/5.93 (v116(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12027, 12026, 8402])).
% 8.32/5.93 tff(12029,plain,
% 8.32/5.93 ((v116(constB27) | v123(constB27)) | (~v116(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12030,plain,
% 8.32/5.93 (v116(constB27) | v123(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12029, 12028])).
% 8.32/5.93 tff(12031,plain,
% 8.32/5.93 ((~(v115(constB27) <=> (v116(constB27) | v123(constB27)))) | v115(constB27) | (~(v116(constB27) | v123(constB27)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12032,plain,
% 8.32/5.93 (v115(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12031, 12030, 8400])).
% 8.32/5.93 tff(12033,plain,
% 8.32/5.93 ((v115(constB27) | v124(constB27)) | (~v115(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12034,plain,
% 8.32/5.93 (v115(constB27) | v124(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12033, 12032])).
% 8.32/5.93 tff(12035,plain,
% 8.32/5.93 ((~(v114(constB27) <=> (v115(constB27) | v124(constB27)))) | v114(constB27) | (~(v115(constB27) | v124(constB27)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12036,plain,
% 8.32/5.93 (v114(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12035, 12034, 8398])).
% 8.32/5.93 tff(12037,plain,
% 8.32/5.93 ((v114(constB27) | v125(constB27)) | (~v114(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12038,plain,
% 8.32/5.93 (v114(constB27) | v125(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12037, 12036])).
% 8.32/5.93 tff(12039,plain,
% 8.32/5.93 ((~(v113(constB27) <=> (v114(constB27) | v125(constB27)))) | v113(constB27) | (~(v114(constB27) | v125(constB27)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12040,plain,
% 8.32/5.93 (v113(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12039, 12038, 8396])).
% 8.32/5.93 tff(12041,plain,
% 8.32/5.93 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB27)) <=> v111(constB27))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(12042,plain,
% 8.32/5.93 ((~v126(constB27)) <=> v111(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12041, 9720])).
% 8.32/5.93 tff(12043,plain,
% 8.32/5.93 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB27) <=> v26(constB27))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(12044,plain,
% 8.32/5.93 (v111(constB27) <=> v26(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12043, 9732])).
% 8.32/5.93 tff(12045,plain,
% 8.32/5.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 8.32/5.93 inference(quant_inst,[status(thm)],[])).
% 8.32/5.93 tff(12046,plain,
% 8.32/5.93 (~v26(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12045, 9744])).
% 8.32/5.93 tff(12047,plain,
% 8.32/5.93 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27)) | v26(constB27)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12048,plain,
% 8.32/5.93 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12047, 12046])).
% 8.32/5.93 tff(12049,plain,
% 8.32/5.93 (~v111(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12048, 12044])).
% 8.32/5.93 tff(12050,plain,
% 8.32/5.93 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27) | v111(constB27)),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12051,plain,
% 8.32/5.93 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12050, 12049])).
% 8.32/5.93 tff(12052,plain,
% 8.32/5.93 (v126(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12051, 12042])).
% 8.32/5.93 tff(12053,plain,
% 8.32/5.93 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27)) | (~v126(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12054,plain,
% 8.32/5.93 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12053, 12052])).
% 8.32/5.93 tff(12055,plain,
% 8.32/5.93 (~((~v113(constB27)) | (~v126(constB27)))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12054, 12040])).
% 8.32/5.93 tff(12056,plain,
% 8.32/5.93 ((~(v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))) | v112(constB27) | ((~v113(constB27)) | (~v126(constB27)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12057,plain,
% 8.32/5.93 (v112(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12056, 12055, 8394])).
% 8.32/5.93 tff(12058,plain,
% 8.32/5.93 ((v111(constB27) | v112(constB27)) | (~v112(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12059,plain,
% 8.32/5.93 (v111(constB27) | v112(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12058, 12057])).
% 8.32/5.93 tff(12060,plain,
% 8.32/5.93 ((~(v108(constB27) <=> (v111(constB27) | v112(constB27)))) | v108(constB27) | (~(v111(constB27) | v112(constB27)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12061,plain,
% 8.32/5.93 (v108(constB27)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12060, 12059, 8392])).
% 8.32/5.93 tff(12062,plain,
% 8.32/5.93 ((~(v110(constB28) <=> v108(constB27))) | v110(constB28) | (~v108(constB27))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12063,plain,
% 8.32/5.93 (v110(constB28)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12062, 12061, 8390])).
% 8.32/5.93 tff(12064,plain,
% 8.32/5.93 ((~((~v101(constB28)) | (~v110(constB28)))) | (~v101(constB28)) | (~v110(constB28))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12065,plain,
% 8.32/5.93 (~((~v101(constB28)) | (~v110(constB28)))),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12064, 12063, 8386])).
% 8.32/5.93 tff(12066,plain,
% 8.32/5.93 ((~(v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))) | v100(constB28) | ((~v101(constB28)) | (~v110(constB28)))),
% 8.32/5.93 inference(tautology,[status(thm)],[])).
% 8.32/5.93 tff(12067,plain,
% 8.32/5.93 (v100(constB28)),
% 8.32/5.93 inference(unit_resolution,[status(thm)],[12066, 12065, 8355])).
% 8.32/5.93 tff(12068,plain,
% 8.32/5.93 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B))))),
% 8.32/5.93 inference(rewrite,[status(thm)],[])).
% 8.32/5.93 tff(12069,plain,
% 8.32/5.93 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B))))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12070,plain,
% 8.32/5.94 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12069, 12068])).
% 8.32/5.94 tff(12071,plain,
% 8.32/5.94 ((~v100(constB28)) | ![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12070, 9780])).
% 8.32/5.94 tff(12072,plain,
% 8.32/5.94 (![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12071, 12067])).
% 8.32/5.94 tff(12073,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12074,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12075,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex2)) | (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 8.32/5.94 tff(12076,plain,
% 8.32/5.94 (v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12075, 648, 12072])).
% 8.32/5.94 tff(12077,plain,
% 8.32/5.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B))))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12078,plain,
% 8.32/5.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B))))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12079,plain,
% 8.32/5.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12078, 12077])).
% 8.32/5.94 tff(12080,plain,
% 8.32/5.94 (![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12079, 8351, 9802])).
% 8.32/5.94 tff(12081,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12082,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12083,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex2)) | (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 8.32/5.94 tff(12084,plain,
% 8.32/5.94 (v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12083, 648, 12080])).
% 8.32/5.94 tff(12085,plain,
% 8.32/5.94 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB27) | ![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB27) | ![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B))))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12086,plain,
% 8.32/5.94 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB27) | ![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B))))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12087,plain,
% 8.32/5.94 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB27) | ![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12086, 12085])).
% 8.32/5.94 tff(12088,plain,
% 8.32/5.94 (![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12087, 9823, 12049])).
% 8.32/5.94 tff(12089,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12090,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12091,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex2)) | (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 8.32/5.94 tff(12092,plain,
% 8.32/5.94 (v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12091, 648, 12088])).
% 8.32/5.94 tff(12093,plain,
% 8.32/5.94 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B))))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12094,plain,
% 8.32/5.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B))))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12095,plain,
% 8.32/5.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12094, 12093])).
% 8.32/5.94 tff(12096,plain,
% 8.32/5.94 ((~v120(constB27)) | ![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12095, 10027])).
% 8.32/5.94 tff(12097,plain,
% 8.32/5.94 (![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12096, 12016])).
% 8.32/5.94 tff(12098,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12099,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12100,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB27, bitIndex2) <=> b010(bitIndex2))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 8.32/5.94 tff(12101,plain,
% 8.32/5.94 (v130(constB27, bitIndex2) <=> b010(bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12100, 648, 12097])).
% 8.32/5.94 tff(12102,plain,
% 8.32/5.94 ((~(v130(constB27, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB27, bitIndex2)) | b010(bitIndex2)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12103,plain,
% 8.32/5.94 ((~(v130(constB27, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB27, bitIndex2))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12102, 10039])).
% 8.32/5.94 tff(12104,plain,
% 8.32/5.94 (~v130(constB27, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12103, 12101])).
% 8.32/5.94 tff(12105,plain,
% 8.32/5.94 ((~(v127(constB27, bitIndex2) <=> v130(constB27, bitIndex2))) | (~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12106,plain,
% 8.32/5.94 (~v127(constB27, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12105, 12104, 12092])).
% 8.32/5.94 tff(12107,plain,
% 8.32/5.94 ((~(v129(constB28, bitIndex2) <=> v127(constB27, bitIndex2))) | (~v129(constB28, bitIndex2)) | v127(constB27, bitIndex2)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12108,plain,
% 8.32/5.94 (~v129(constB28, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12107, 12106, 12084])).
% 8.32/5.94 tff(12109,plain,
% 8.32/5.94 ((~(v90(constB28, bitIndex2) <=> v129(constB28, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12110,plain,
% 8.32/5.94 (~v90(constB28, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12109, 12108, 12076])).
% 8.32/5.94 tff(12111,plain,
% 8.32/5.94 ((~(v90(constB29, bitIndex2) <=> v90(constB28, bitIndex2))) | (~v90(constB29, bitIndex2)) | v90(constB28, bitIndex2)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12112,plain,
% 8.32/5.94 (~v90(constB29, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12111, 12110, 8348])).
% 8.32/5.94 tff(12113,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12114,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12115,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12114, 12113])).
% 8.32/5.94 tff(12116,plain,
% 8.32/5.94 (v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12115, 9653, 8344])).
% 8.32/5.94 tff(12117,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12118,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12119,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex0)) | (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12118, 12117])).
% 8.32/5.94 tff(12120,plain,
% 8.32/5.94 (v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12119, 9653, 12072])).
% 8.32/5.94 tff(12121,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12122,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12123,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex0)) | (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12122, 12121])).
% 8.32/5.94 tff(12124,plain,
% 8.32/5.94 (v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12123, 9653, 12080])).
% 8.32/5.94 tff(12125,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12126,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12127,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex0)) | (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12126, 12125])).
% 8.32/5.94 tff(12128,plain,
% 8.32/5.94 (v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12127, 9653, 12088])).
% 8.32/5.94 tff(12129,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12130,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12131,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB27, bitIndex0) <=> b010(bitIndex0))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12130, 12129])).
% 8.32/5.94 tff(12132,plain,
% 8.32/5.94 (v130(constB27, bitIndex0) <=> b010(bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12131, 9653, 12097])).
% 8.32/5.94 tff(12133,plain,
% 8.32/5.94 ((~(v130(constB27, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB27, bitIndex0)) | b010(bitIndex0)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12134,plain,
% 8.32/5.94 ((~(v130(constB27, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB27, bitIndex0))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12133, 10073])).
% 8.32/5.94 tff(12135,plain,
% 8.32/5.94 (~v130(constB27, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12134, 12132])).
% 8.32/5.94 tff(12136,plain,
% 8.32/5.94 ((~(v127(constB27, bitIndex0) <=> v130(constB27, bitIndex0))) | (~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12137,plain,
% 8.32/5.94 (~v127(constB27, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12136, 12135, 12128])).
% 8.32/5.94 tff(12138,plain,
% 8.32/5.94 ((~(v129(constB28, bitIndex0) <=> v127(constB27, bitIndex0))) | (~v129(constB28, bitIndex0)) | v127(constB27, bitIndex0)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12139,plain,
% 8.32/5.94 (~v129(constB28, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12138, 12137, 12124])).
% 8.32/5.94 tff(12140,plain,
% 8.32/5.94 ((~(v90(constB28, bitIndex0) <=> v129(constB28, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12141,plain,
% 8.32/5.94 (~v90(constB28, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12140, 12139, 12120])).
% 8.32/5.94 tff(12142,plain,
% 8.32/5.94 ((~(v90(constB29, bitIndex0) <=> v90(constB28, bitIndex0))) | (~v90(constB29, bitIndex0)) | v90(constB28, bitIndex0)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12143,plain,
% 8.32/5.94 (~v90(constB29, bitIndex0)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12142, 12141, 12116])).
% 8.32/5.94 tff(12144,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12145,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12146,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB29, B) <=> v90(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12145, 12144])).
% 8.32/5.94 tff(12147,plain,
% 8.32/5.94 (v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12146, 375, 8344])).
% 8.32/5.94 tff(12148,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12149,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | ((~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12150,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB28, B) <=> v129(constB28, B)))) | (~less_3(bitIndex1)) | (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12149, 12148])).
% 8.32/5.94 tff(12151,plain,
% 8.32/5.94 (v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12150, 375, 12072])).
% 8.32/5.94 tff(12152,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12153,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | ((~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12154,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v129(constB28, B) <=> v127(constB27, B)))) | (~less_3(bitIndex1)) | (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12153, 12152])).
% 8.32/5.94 tff(12155,plain,
% 8.32/5.94 (v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12154, 375, 12080])).
% 8.32/5.94 tff(12156,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12157,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | ((~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12158,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v127(constB27, B) <=> v130(constB27, B)))) | (~less_3(bitIndex1)) | (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12157, 12156])).
% 8.32/5.94 tff(12159,plain,
% 8.32/5.94 (v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12158, 375, 12088])).
% 8.32/5.94 tff(12160,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12161,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12162,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v130(constB27, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB27, bitIndex1) <=> b010(bitIndex1))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12161, 12160])).
% 8.32/5.94 tff(12163,plain,
% 8.32/5.94 (v130(constB27, bitIndex1) <=> b010(bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12162, 375, 12097])).
% 8.32/5.94 tff(12164,plain,
% 8.32/5.94 ((~(v130(constB27, bitIndex1) <=> b010(bitIndex1))) | v130(constB27, bitIndex1) | (~b010(bitIndex1))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12165,plain,
% 8.32/5.94 ((~(v130(constB27, bitIndex1) <=> b010(bitIndex1))) | v130(constB27, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12164, 10107])).
% 8.32/5.94 tff(12166,plain,
% 8.32/5.94 (v130(constB27, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12165, 12163])).
% 8.32/5.94 tff(12167,plain,
% 8.32/5.94 ((~(v127(constB27, bitIndex1) <=> v130(constB27, bitIndex1))) | v127(constB27, bitIndex1) | (~v130(constB27, bitIndex1))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12168,plain,
% 8.32/5.94 (v127(constB27, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12167, 12166, 12159])).
% 8.32/5.94 tff(12169,plain,
% 8.32/5.94 ((~(v129(constB28, bitIndex1) <=> v127(constB27, bitIndex1))) | v129(constB28, bitIndex1) | (~v127(constB27, bitIndex1))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12170,plain,
% 8.32/5.94 (v129(constB28, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12169, 12168, 12155])).
% 8.32/5.94 tff(12171,plain,
% 8.32/5.94 ((~(v90(constB28, bitIndex1) <=> v129(constB28, bitIndex1))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12172,plain,
% 8.32/5.94 (v90(constB28, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12171, 12170, 12151])).
% 8.32/5.94 tff(12173,plain,
% 8.32/5.94 ((~(v90(constB29, bitIndex1) <=> v90(constB28, bitIndex1))) | v90(constB29, bitIndex1) | (~v90(constB28, bitIndex1))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12174,plain,
% 8.32/5.94 (v90(constB29, bitIndex1)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12173, 12172, 12147])).
% 8.32/5.94 tff(12175,plain,
% 8.32/5.94 ((~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12176,plain,
% 8.32/5.94 (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12175, 12174, 12143, 12112])).
% 8.32/5.94 tff(12177,plain,
% 8.32/5.94 ((~(v121(constB29) <=> (~(v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))))) | v121(constB29) | (v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex0))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12178,plain,
% 8.32/5.94 (v121(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12177, 12176, 8316])).
% 8.32/5.94 tff(12179,plain,
% 8.32/5.94 ((v118(constB29) | v121(constB29)) | (~v121(constB29))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12180,plain,
% 8.32/5.94 (v118(constB29) | v121(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12179, 12178])).
% 8.32/5.94 tff(12181,plain,
% 8.32/5.94 ((~(v117(constB29) <=> (v118(constB29) | v121(constB29)))) | v117(constB29) | (~(v118(constB29) | v121(constB29)))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12182,plain,
% 8.32/5.94 (v117(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12181, 12180, 8309])).
% 8.32/5.94 tff(12183,plain,
% 8.32/5.94 ((v117(constB29) | v122(constB29)) | (~v117(constB29))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12184,plain,
% 8.32/5.94 (v117(constB29) | v122(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12183, 12182])).
% 8.32/5.94 tff(12185,plain,
% 8.32/5.94 ((~(v116(constB29) <=> (v117(constB29) | v122(constB29)))) | v116(constB29) | (~(v117(constB29) | v122(constB29)))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12186,plain,
% 8.32/5.94 (v116(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12185, 12184, 8307])).
% 8.32/5.94 tff(12187,plain,
% 8.32/5.94 ((v116(constB29) | v123(constB29)) | (~v116(constB29))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12188,plain,
% 8.32/5.94 (v116(constB29) | v123(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12187, 12186])).
% 8.32/5.94 tff(12189,plain,
% 8.32/5.94 ((~(v115(constB29) <=> (v116(constB29) | v123(constB29)))) | v115(constB29) | (~(v116(constB29) | v123(constB29)))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12190,plain,
% 8.32/5.94 (v115(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12189, 12188, 8305])).
% 8.32/5.94 tff(12191,plain,
% 8.32/5.94 ((v115(constB29) | v124(constB29)) | (~v115(constB29))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12192,plain,
% 8.32/5.94 (v115(constB29) | v124(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12191, 12190])).
% 8.32/5.94 tff(12193,plain,
% 8.32/5.94 ((~(v114(constB29) <=> (v115(constB29) | v124(constB29)))) | v114(constB29) | (~(v115(constB29) | v124(constB29)))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12194,plain,
% 8.32/5.94 (v114(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12193, 12192, 8303])).
% 8.32/5.94 tff(12195,plain,
% 8.32/5.94 ((v114(constB29) | v125(constB29)) | (~v114(constB29))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12196,plain,
% 8.32/5.94 (v114(constB29) | v125(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12195, 12194])).
% 8.32/5.94 tff(12197,plain,
% 8.32/5.94 ((~(v113(constB29) <=> (v114(constB29) | v125(constB29)))) | v113(constB29) | (~(v114(constB29) | v125(constB29)))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12198,plain,
% 8.32/5.94 (v113(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12197, 12196, 8301])).
% 8.32/5.94 tff(12199,plain,
% 8.32/5.94 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB29)) <=> v111(constB29))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12200,plain,
% 8.32/5.94 ((~v126(constB29)) <=> v111(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12199, 9720])).
% 8.32/5.94 tff(12201,plain,
% 8.32/5.94 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB29) <=> v26(constB29))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12202,plain,
% 8.32/5.94 (v111(constB29) <=> v26(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12201, 9732])).
% 8.32/5.94 tff(12203,plain,
% 8.32/5.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12204,plain,
% 8.32/5.94 (~v26(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12203, 9744])).
% 8.32/5.94 tff(12205,plain,
% 8.32/5.94 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29)) | v26(constB29)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12206,plain,
% 8.32/5.94 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12205, 12204])).
% 8.32/5.94 tff(12207,plain,
% 8.32/5.94 (~v111(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12206, 12202])).
% 8.32/5.94 tff(12208,plain,
% 8.32/5.94 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29) | v111(constB29)),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12209,plain,
% 8.32/5.94 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12208, 12207])).
% 8.32/5.94 tff(12210,plain,
% 8.32/5.94 (v126(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12209, 12200])).
% 8.32/5.94 tff(12211,plain,
% 8.32/5.94 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29)) | (~v126(constB29))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12212,plain,
% 8.32/5.94 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12211, 12210])).
% 8.32/5.94 tff(12213,plain,
% 8.32/5.94 (~((~v113(constB29)) | (~v126(constB29)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12212, 12198])).
% 8.32/5.94 tff(12214,plain,
% 8.32/5.94 ((~(v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))) | v112(constB29) | ((~v113(constB29)) | (~v126(constB29)))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12215,plain,
% 8.32/5.94 (v112(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12214, 12213, 8299])).
% 8.32/5.94 tff(12216,plain,
% 8.32/5.94 ((v111(constB29) | v112(constB29)) | (~v112(constB29))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12217,plain,
% 8.32/5.94 (v111(constB29) | v112(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12216, 12215])).
% 8.32/5.94 tff(12218,plain,
% 8.32/5.94 ((~(v108(constB29) <=> (v111(constB29) | v112(constB29)))) | v108(constB29) | (~(v111(constB29) | v112(constB29)))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12219,plain,
% 8.32/5.94 (v108(constB29)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12218, 12217, 8297])).
% 8.32/5.94 tff(12220,plain,
% 8.32/5.94 ((~(v110(constB30) <=> v108(constB29))) | v110(constB30) | (~v108(constB29))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12221,plain,
% 8.32/5.94 (v110(constB30)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12220, 12219, 8295])).
% 8.32/5.94 tff(12222,plain,
% 8.32/5.94 ((~((~v101(constB30)) | (~v110(constB30)))) | (~v101(constB30)) | (~v110(constB30))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12223,plain,
% 8.32/5.94 (~((~v101(constB30)) | (~v110(constB30)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12222, 12221, 8291])).
% 8.32/5.94 tff(12224,plain,
% 8.32/5.94 ((~(v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))) | v100(constB30) | ((~v101(constB30)) | (~v110(constB30)))),
% 8.32/5.94 inference(tautology,[status(thm)],[])).
% 8.32/5.94 tff(12225,plain,
% 8.32/5.94 (v100(constB30)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12224, 12223, 8260])).
% 8.32/5.94 tff(12226,plain,
% 8.32/5.94 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B))))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12227,plain,
% 8.32/5.94 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B))))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12228,plain,
% 8.32/5.94 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 8.32/5.94 tff(12229,plain,
% 8.32/5.94 ((~v100(constB30)) | ![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12228, 9780])).
% 8.32/5.94 tff(12230,plain,
% 8.32/5.94 (![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12229, 12225])).
% 8.32/5.94 tff(12231,plain,
% 8.32/5.94 (((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)))),
% 8.32/5.94 inference(rewrite,[status(thm)],[])).
% 8.32/5.94 tff(12232,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)))),
% 8.32/5.94 inference(quant_inst,[status(thm)],[])).
% 8.32/5.94 tff(12233,plain,
% 8.32/5.94 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex2)) | (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2))),
% 8.32/5.94 inference(modus_ponens,[status(thm)],[12232, 12231])).
% 8.32/5.94 tff(12234,plain,
% 8.32/5.94 (v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2)),
% 8.32/5.94 inference(unit_resolution,[status(thm)],[12233, 648, 12230])).
% 8.32/5.94 tff(12235,plain,
% 8.32/5.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B))))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12236,plain,
% 8.32/5.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B))))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12237,plain,
% 8.32/5.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12236, 12235])).
% 8.32/5.95 tff(12238,plain,
% 8.32/5.95 (![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12237, 8256, 9802])).
% 8.32/5.95 tff(12239,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12240,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12241,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex2)) | (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 8.32/5.95 tff(12242,plain,
% 8.32/5.95 (v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12241, 648, 12238])).
% 8.32/5.95 tff(12243,plain,
% 8.32/5.95 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB29) | ![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB29) | ![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B))))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12244,plain,
% 8.32/5.95 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB29) | ![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B))))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12245,plain,
% 8.32/5.95 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB29) | ![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12244, 12243])).
% 8.32/5.95 tff(12246,plain,
% 8.32/5.95 (![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12245, 9823, 12207])).
% 8.32/5.95 tff(12247,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12248,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12249,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex2)) | (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12248, 12247])).
% 8.32/5.95 tff(12250,plain,
% 8.32/5.95 (v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12249, 648, 12246])).
% 8.32/5.95 tff(12251,plain,
% 8.32/5.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B))))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12252,plain,
% 8.32/5.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B))))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12253,plain,
% 8.32/5.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12252, 12251])).
% 8.32/5.95 tff(12254,plain,
% 8.32/5.95 ((~v121(constB29)) | ![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12253, 10207])).
% 8.32/5.95 tff(12255,plain,
% 8.32/5.95 (![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12254, 12178])).
% 8.32/5.95 tff(12256,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12257,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12258,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB29, bitIndex2) <=> b011(bitIndex2))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12257, 12256])).
% 8.32/5.95 tff(12259,plain,
% 8.32/5.95 (v130(constB29, bitIndex2) <=> b011(bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12258, 648, 12255])).
% 8.32/5.95 tff(12260,plain,
% 8.32/5.95 ((~(v130(constB29, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB29, bitIndex2)) | b011(bitIndex2)),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12261,plain,
% 8.32/5.95 ((~(v130(constB29, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB29, bitIndex2))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12260, 10219])).
% 8.32/5.95 tff(12262,plain,
% 8.32/5.95 (~v130(constB29, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12261, 12259])).
% 8.32/5.95 tff(12263,plain,
% 8.32/5.95 ((~(v127(constB29, bitIndex2) <=> v130(constB29, bitIndex2))) | (~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12264,plain,
% 8.32/5.95 (~v127(constB29, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12263, 12262, 12250])).
% 8.32/5.95 tff(12265,plain,
% 8.32/5.95 ((~(v129(constB30, bitIndex2) <=> v127(constB29, bitIndex2))) | (~v129(constB30, bitIndex2)) | v127(constB29, bitIndex2)),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12266,plain,
% 8.32/5.95 (~v129(constB30, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12265, 12264, 12242])).
% 8.32/5.95 tff(12267,plain,
% 8.32/5.95 ((~(v90(constB30, bitIndex2) <=> v129(constB30, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2)),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12268,plain,
% 8.32/5.95 (~v90(constB30, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12267, 12266, 12234])).
% 8.32/5.95 tff(12269,plain,
% 8.32/5.95 ((~(v90(constB31, bitIndex2) <=> v90(constB30, bitIndex2))) | (~v90(constB31, bitIndex2)) | v90(constB30, bitIndex2)),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12270,plain,
% 8.32/5.95 (~v90(constB31, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12269, 12268, 8253])).
% 8.32/5.95 tff(12271,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12272,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12273,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12272, 12271])).
% 8.32/5.95 tff(12274,plain,
% 8.32/5.95 (v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12273, 9653, 8249])).
% 8.32/5.95 tff(12275,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12276,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12277,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex0)) | (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12276, 12275])).
% 8.32/5.95 tff(12278,plain,
% 8.32/5.95 (v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12277, 9653, 12230])).
% 8.32/5.95 tff(12279,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12280,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12281,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex0)) | (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12280, 12279])).
% 8.32/5.95 tff(12282,plain,
% 8.32/5.95 (v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12281, 9653, 12238])).
% 8.32/5.95 tff(12283,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12284,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12285,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex0)) | (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12284, 12283])).
% 8.32/5.95 tff(12286,plain,
% 8.32/5.95 (v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12285, 9653, 12246])).
% 8.32/5.95 tff(12287,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12288,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12289,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB29, bitIndex0) <=> b011(bitIndex0))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12288, 12287])).
% 8.32/5.95 tff(12290,plain,
% 8.32/5.95 (v130(constB29, bitIndex0) <=> b011(bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12289, 9653, 12255])).
% 8.32/5.95 tff(12291,plain,
% 8.32/5.95 ((~(v130(constB29, bitIndex0) <=> b011(bitIndex0))) | v130(constB29, bitIndex0) | (~b011(bitIndex0))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12292,plain,
% 8.32/5.95 ((~(v130(constB29, bitIndex0) <=> b011(bitIndex0))) | v130(constB29, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12291, 10253])).
% 8.32/5.95 tff(12293,plain,
% 8.32/5.95 (v130(constB29, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12292, 12290])).
% 8.32/5.95 tff(12294,plain,
% 8.32/5.95 ((~(v127(constB29, bitIndex0) <=> v130(constB29, bitIndex0))) | v127(constB29, bitIndex0) | (~v130(constB29, bitIndex0))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12295,plain,
% 8.32/5.95 (v127(constB29, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12294, 12293, 12286])).
% 8.32/5.95 tff(12296,plain,
% 8.32/5.95 ((~(v129(constB30, bitIndex0) <=> v127(constB29, bitIndex0))) | v129(constB30, bitIndex0) | (~v127(constB29, bitIndex0))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12297,plain,
% 8.32/5.95 (v129(constB30, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12296, 12295, 12282])).
% 8.32/5.95 tff(12298,plain,
% 8.32/5.95 ((~(v90(constB30, bitIndex0) <=> v129(constB30, bitIndex0))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12299,plain,
% 8.32/5.95 (v90(constB30, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12298, 12297, 12278])).
% 8.32/5.95 tff(12300,plain,
% 8.32/5.95 ((~(v90(constB31, bitIndex0) <=> v90(constB30, bitIndex0))) | v90(constB31, bitIndex0) | (~v90(constB30, bitIndex0))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12301,plain,
% 8.32/5.95 (v90(constB31, bitIndex0)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12300, 12299, 12274])).
% 8.32/5.95 tff(12302,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12303,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12304,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB31, B) <=> v90(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 8.32/5.95 tff(12305,plain,
% 8.32/5.95 (v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12304, 375, 8249])).
% 8.32/5.95 tff(12306,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12307,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | ((~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12308,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB30, B) <=> v129(constB30, B)))) | (~less_3(bitIndex1)) | (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12307, 12306])).
% 8.32/5.95 tff(12309,plain,
% 8.32/5.95 (v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12308, 375, 12230])).
% 8.32/5.95 tff(12310,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12311,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | ((~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12312,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB30, B) <=> v127(constB29, B)))) | (~less_3(bitIndex1)) | (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12311, 12310])).
% 8.32/5.95 tff(12313,plain,
% 8.32/5.95 (v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12312, 375, 12238])).
% 8.32/5.95 tff(12314,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12315,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | ((~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12316,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB29, B) <=> v130(constB29, B)))) | (~less_3(bitIndex1)) | (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 8.32/5.95 tff(12317,plain,
% 8.32/5.95 (v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12316, 375, 12246])).
% 8.32/5.95 tff(12318,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12319,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12320,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB29, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB29, bitIndex1) <=> b011(bitIndex1))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12319, 12318])).
% 8.32/5.95 tff(12321,plain,
% 8.32/5.95 (v130(constB29, bitIndex1) <=> b011(bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12320, 375, 12255])).
% 8.32/5.95 tff(12322,plain,
% 8.32/5.95 ((~(v130(constB29, bitIndex1) <=> b011(bitIndex1))) | v130(constB29, bitIndex1) | (~b011(bitIndex1))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12323,plain,
% 8.32/5.95 ((~(v130(constB29, bitIndex1) <=> b011(bitIndex1))) | v130(constB29, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12322, 10287])).
% 8.32/5.95 tff(12324,plain,
% 8.32/5.95 (v130(constB29, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12323, 12321])).
% 8.32/5.95 tff(12325,plain,
% 8.32/5.95 ((~(v127(constB29, bitIndex1) <=> v130(constB29, bitIndex1))) | v127(constB29, bitIndex1) | (~v130(constB29, bitIndex1))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12326,plain,
% 8.32/5.95 (v127(constB29, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12325, 12324, 12317])).
% 8.32/5.95 tff(12327,plain,
% 8.32/5.95 ((~(v129(constB30, bitIndex1) <=> v127(constB29, bitIndex1))) | v129(constB30, bitIndex1) | (~v127(constB29, bitIndex1))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12328,plain,
% 8.32/5.95 (v129(constB30, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12327, 12326, 12313])).
% 8.32/5.95 tff(12329,plain,
% 8.32/5.95 ((~(v90(constB30, bitIndex1) <=> v129(constB30, bitIndex1))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12330,plain,
% 8.32/5.95 (v90(constB30, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12329, 12328, 12309])).
% 8.32/5.95 tff(12331,plain,
% 8.32/5.95 ((~(v90(constB31, bitIndex1) <=> v90(constB30, bitIndex1))) | v90(constB31, bitIndex1) | (~v90(constB30, bitIndex1))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12332,plain,
% 8.32/5.95 (v90(constB31, bitIndex1)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12331, 12330, 12305])).
% 8.32/5.95 tff(12333,plain,
% 8.32/5.95 ((~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))) | v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12334,plain,
% 8.32/5.95 (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12333, 12332, 12301, 12270])).
% 8.32/5.95 tff(12335,plain,
% 8.32/5.95 ((~(v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))) | v122(constB31) | (v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12336,plain,
% 8.32/5.95 (v122(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12335, 12334, 8221])).
% 8.32/5.95 tff(12337,plain,
% 8.32/5.95 ((v117(constB31) | v122(constB31)) | (~v122(constB31))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12338,plain,
% 8.32/5.95 (v117(constB31) | v122(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12337, 12336])).
% 8.32/5.95 tff(12339,plain,
% 8.32/5.95 ((~(v116(constB31) <=> (v117(constB31) | v122(constB31)))) | v116(constB31) | (~(v117(constB31) | v122(constB31)))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12340,plain,
% 8.32/5.95 (v116(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12339, 12338, 8214])).
% 8.32/5.95 tff(12341,plain,
% 8.32/5.95 ((v116(constB31) | v123(constB31)) | (~v116(constB31))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12342,plain,
% 8.32/5.95 (v116(constB31) | v123(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12341, 12340])).
% 8.32/5.95 tff(12343,plain,
% 8.32/5.95 ((~(v115(constB31) <=> (v116(constB31) | v123(constB31)))) | v115(constB31) | (~(v116(constB31) | v123(constB31)))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12344,plain,
% 8.32/5.95 (v115(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12343, 12342, 8212])).
% 8.32/5.95 tff(12345,plain,
% 8.32/5.95 ((v115(constB31) | v124(constB31)) | (~v115(constB31))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12346,plain,
% 8.32/5.95 (v115(constB31) | v124(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12345, 12344])).
% 8.32/5.95 tff(12347,plain,
% 8.32/5.95 ((~(v114(constB31) <=> (v115(constB31) | v124(constB31)))) | v114(constB31) | (~(v115(constB31) | v124(constB31)))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12348,plain,
% 8.32/5.95 (v114(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12347, 12346, 8210])).
% 8.32/5.95 tff(12349,plain,
% 8.32/5.95 ((v114(constB31) | v125(constB31)) | (~v114(constB31))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12350,plain,
% 8.32/5.95 (v114(constB31) | v125(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12349, 12348])).
% 8.32/5.95 tff(12351,plain,
% 8.32/5.95 ((~(v113(constB31) <=> (v114(constB31) | v125(constB31)))) | v113(constB31) | (~(v114(constB31) | v125(constB31)))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12352,plain,
% 8.32/5.95 (v113(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12351, 12350, 8208])).
% 8.32/5.95 tff(12353,plain,
% 8.32/5.95 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB31)) <=> v111(constB31))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12354,plain,
% 8.32/5.95 ((~v126(constB31)) <=> v111(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12353, 9720])).
% 8.32/5.95 tff(12355,plain,
% 8.32/5.95 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB31) <=> v26(constB31))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12356,plain,
% 8.32/5.95 (v111(constB31) <=> v26(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12355, 9732])).
% 8.32/5.95 tff(12357,plain,
% 8.32/5.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12358,plain,
% 8.32/5.95 (~v26(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12357, 9744])).
% 8.32/5.95 tff(12359,plain,
% 8.32/5.95 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31)) | v26(constB31)),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12360,plain,
% 8.32/5.95 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12359, 12358])).
% 8.32/5.95 tff(12361,plain,
% 8.32/5.95 (~v111(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12360, 12356])).
% 8.32/5.95 tff(12362,plain,
% 8.32/5.95 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31) | v111(constB31)),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12363,plain,
% 8.32/5.95 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12362, 12361])).
% 8.32/5.95 tff(12364,plain,
% 8.32/5.95 (v126(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12363, 12354])).
% 8.32/5.95 tff(12365,plain,
% 8.32/5.95 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31)) | (~v126(constB31))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12366,plain,
% 8.32/5.95 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12365, 12364])).
% 8.32/5.95 tff(12367,plain,
% 8.32/5.95 (~((~v113(constB31)) | (~v126(constB31)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12366, 12352])).
% 8.32/5.95 tff(12368,plain,
% 8.32/5.95 ((~(v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))) | v112(constB31) | ((~v113(constB31)) | (~v126(constB31)))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12369,plain,
% 8.32/5.95 (v112(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12368, 12367, 8206])).
% 8.32/5.95 tff(12370,plain,
% 8.32/5.95 ((v111(constB31) | v112(constB31)) | (~v112(constB31))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12371,plain,
% 8.32/5.95 (v111(constB31) | v112(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12370, 12369])).
% 8.32/5.95 tff(12372,plain,
% 8.32/5.95 ((~(v108(constB31) <=> (v111(constB31) | v112(constB31)))) | v108(constB31) | (~(v111(constB31) | v112(constB31)))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12373,plain,
% 8.32/5.95 (v108(constB31)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12372, 12371, 8204])).
% 8.32/5.95 tff(12374,plain,
% 8.32/5.95 ((~(v110(constB32) <=> v108(constB31))) | v110(constB32) | (~v108(constB31))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12375,plain,
% 8.32/5.95 (v110(constB32)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12374, 12373, 8202])).
% 8.32/5.95 tff(12376,plain,
% 8.32/5.95 ((~((~v101(constB32)) | (~v110(constB32)))) | (~v101(constB32)) | (~v110(constB32))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12377,plain,
% 8.32/5.95 (~((~v101(constB32)) | (~v110(constB32)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12376, 12375, 8198])).
% 8.32/5.95 tff(12378,plain,
% 8.32/5.95 ((~(v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))) | v100(constB32) | ((~v101(constB32)) | (~v110(constB32)))),
% 8.32/5.95 inference(tautology,[status(thm)],[])).
% 8.32/5.95 tff(12379,plain,
% 8.32/5.95 (v100(constB32)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12378, 12377, 8167])).
% 8.32/5.95 tff(12380,plain,
% 8.32/5.95 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B))))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12381,plain,
% 8.32/5.95 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B))))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12382,plain,
% 8.32/5.95 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 8.32/5.95 tff(12383,plain,
% 8.32/5.95 ((~v100(constB32)) | ![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12382, 9780])).
% 8.32/5.95 tff(12384,plain,
% 8.32/5.95 (![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12383, 12379])).
% 8.32/5.95 tff(12385,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12386,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12387,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex2)) | (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12386, 12385])).
% 8.32/5.95 tff(12388,plain,
% 8.32/5.95 (v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12387, 648, 12384])).
% 8.32/5.95 tff(12389,plain,
% 8.32/5.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B))))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12390,plain,
% 8.32/5.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B))))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12391,plain,
% 8.32/5.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12390, 12389])).
% 8.32/5.95 tff(12392,plain,
% 8.32/5.95 (![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12391, 8163, 9802])).
% 8.32/5.95 tff(12393,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12394,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12395,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex2)) | (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12394, 12393])).
% 8.32/5.95 tff(12396,plain,
% 8.32/5.95 (v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12395, 648, 12392])).
% 8.32/5.95 tff(12397,plain,
% 8.32/5.95 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB31) | ![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB31) | ![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B))))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12398,plain,
% 8.32/5.95 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB31) | ![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B))))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12399,plain,
% 8.32/5.95 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB31) | ![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 8.32/5.95 tff(12400,plain,
% 8.32/5.95 (![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12399, 9823, 12361])).
% 8.32/5.95 tff(12401,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12402,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12403,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex2)) | (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 8.32/5.95 tff(12404,plain,
% 8.32/5.95 (v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2)),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12403, 648, 12400])).
% 8.32/5.95 tff(12405,plain,
% 8.32/5.95 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B))))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12406,plain,
% 8.32/5.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B))))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12407,plain,
% 8.32/5.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))),
% 8.32/5.95 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 8.32/5.95 tff(12408,plain,
% 8.32/5.95 ((~v122(constB31)) | ![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12407, 10383])).
% 8.32/5.95 tff(12409,plain,
% 8.32/5.95 (![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))),
% 8.32/5.95 inference(unit_resolution,[status(thm)],[12408, 12336])).
% 8.32/5.95 tff(12410,plain,
% 8.32/5.95 (((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2)))),
% 8.32/5.95 inference(rewrite,[status(thm)],[])).
% 8.32/5.95 tff(12411,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2)))),
% 8.32/5.95 inference(quant_inst,[status(thm)],[])).
% 8.32/5.95 tff(12412,plain,
% 8.32/5.95 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB31, bitIndex2) <=> b100(bitIndex2))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12411, 12410])).
% 8.38/5.96 tff(12413,plain,
% 8.38/5.96 (v130(constB31, bitIndex2) <=> b100(bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12412, 648, 12409])).
% 8.38/5.96 tff(12414,plain,
% 8.38/5.96 ((~(v130(constB31, bitIndex2) <=> b100(bitIndex2))) | v130(constB31, bitIndex2) | (~b100(bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12415,plain,
% 8.38/5.96 ((~(v130(constB31, bitIndex2) <=> b100(bitIndex2))) | v130(constB31, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12414, 10395])).
% 8.38/5.96 tff(12416,plain,
% 8.38/5.96 (v130(constB31, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12415, 12413])).
% 8.38/5.96 tff(12417,plain,
% 8.38/5.96 ((~(v127(constB31, bitIndex2) <=> v130(constB31, bitIndex2))) | v127(constB31, bitIndex2) | (~v130(constB31, bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12418,plain,
% 8.38/5.96 (v127(constB31, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12417, 12416, 12404])).
% 8.38/5.96 tff(12419,plain,
% 8.38/5.96 ((~(v129(constB32, bitIndex2) <=> v127(constB31, bitIndex2))) | v129(constB32, bitIndex2) | (~v127(constB31, bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12420,plain,
% 8.38/5.96 (v129(constB32, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12419, 12418, 12396])).
% 8.38/5.96 tff(12421,plain,
% 8.38/5.96 ((~(v90(constB32, bitIndex2) <=> v129(constB32, bitIndex2))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12422,plain,
% 8.38/5.96 (v90(constB32, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12421, 12420, 12388])).
% 8.38/5.96 tff(12423,plain,
% 8.38/5.96 ((~(v90(constB33, bitIndex2) <=> v90(constB32, bitIndex2))) | v90(constB33, bitIndex2) | (~v90(constB32, bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12424,plain,
% 8.38/5.96 (v90(constB33, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12423, 12422, 8160])).
% 8.38/5.96 tff(12425,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12426,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12427,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12426, 12425])).
% 8.38/5.96 tff(12428,plain,
% 8.38/5.96 (v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12427, 9653, 8156])).
% 8.38/5.96 tff(12429,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12430,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12431,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex0)) | (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12430, 12429])).
% 8.38/5.96 tff(12432,plain,
% 8.38/5.96 (v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12431, 9653, 12384])).
% 8.38/5.96 tff(12433,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12434,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12435,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex0)) | (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12434, 12433])).
% 8.38/5.96 tff(12436,plain,
% 8.38/5.96 (v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12435, 9653, 12392])).
% 8.38/5.96 tff(12437,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12438,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12439,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex0)) | (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12438, 12437])).
% 8.38/5.96 tff(12440,plain,
% 8.38/5.96 (v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12439, 9653, 12400])).
% 8.38/5.96 tff(12441,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12442,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12443,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB31, bitIndex0) <=> b100(bitIndex0))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12442, 12441])).
% 8.38/5.96 tff(12444,plain,
% 8.38/5.96 (v130(constB31, bitIndex0) <=> b100(bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12443, 9653, 12409])).
% 8.38/5.96 tff(12445,plain,
% 8.38/5.96 ((~(v130(constB31, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB31, bitIndex0)) | b100(bitIndex0)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12446,plain,
% 8.38/5.96 ((~(v130(constB31, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB31, bitIndex0))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12445, 10429])).
% 8.38/5.96 tff(12447,plain,
% 8.38/5.96 (~v130(constB31, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12446, 12444])).
% 8.38/5.96 tff(12448,plain,
% 8.38/5.96 ((~(v127(constB31, bitIndex0) <=> v130(constB31, bitIndex0))) | (~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12449,plain,
% 8.38/5.96 (~v127(constB31, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12448, 12447, 12440])).
% 8.38/5.96 tff(12450,plain,
% 8.38/5.96 ((~(v129(constB32, bitIndex0) <=> v127(constB31, bitIndex0))) | (~v129(constB32, bitIndex0)) | v127(constB31, bitIndex0)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12451,plain,
% 8.38/5.96 (~v129(constB32, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12450, 12449, 12436])).
% 8.38/5.96 tff(12452,plain,
% 8.38/5.96 ((~(v90(constB32, bitIndex0) <=> v129(constB32, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12453,plain,
% 8.38/5.96 (~v90(constB32, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12452, 12451, 12432])).
% 8.38/5.96 tff(12454,plain,
% 8.38/5.96 ((~(v90(constB33, bitIndex0) <=> v90(constB32, bitIndex0))) | (~v90(constB33, bitIndex0)) | v90(constB32, bitIndex0)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12455,plain,
% 8.38/5.96 (~v90(constB33, bitIndex0)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12454, 12453, 12428])).
% 8.38/5.96 tff(12456,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12457,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12458,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB33, B) <=> v90(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12457, 12456])).
% 8.38/5.96 tff(12459,plain,
% 8.38/5.96 (v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12458, 375, 8156])).
% 8.38/5.96 tff(12460,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12461,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | ((~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12462,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB32, B) <=> v129(constB32, B)))) | (~less_3(bitIndex1)) | (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12461, 12460])).
% 8.38/5.96 tff(12463,plain,
% 8.38/5.96 (v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12462, 375, 12384])).
% 8.38/5.96 tff(12464,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12465,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | ((~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12466,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB32, B) <=> v127(constB31, B)))) | (~less_3(bitIndex1)) | (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12465, 12464])).
% 8.38/5.96 tff(12467,plain,
% 8.38/5.96 (v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12466, 375, 12392])).
% 8.38/5.96 tff(12468,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12469,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | ((~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12470,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB31, B) <=> v130(constB31, B)))) | (~less_3(bitIndex1)) | (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 8.38/5.96 tff(12471,plain,
% 8.38/5.96 (v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12470, 375, 12400])).
% 8.38/5.96 tff(12472,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12473,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12474,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB31, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB31, bitIndex1) <=> b100(bitIndex1))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12473, 12472])).
% 8.38/5.96 tff(12475,plain,
% 8.38/5.96 (v130(constB31, bitIndex1) <=> b100(bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12474, 375, 12409])).
% 8.38/5.96 tff(12476,plain,
% 8.38/5.96 ((~(v130(constB31, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB31, bitIndex1)) | b100(bitIndex1)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12477,plain,
% 8.38/5.96 ((~(v130(constB31, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB31, bitIndex1))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12476, 10463])).
% 8.38/5.96 tff(12478,plain,
% 8.38/5.96 (~v130(constB31, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12477, 12475])).
% 8.38/5.96 tff(12479,plain,
% 8.38/5.96 ((~(v127(constB31, bitIndex1) <=> v130(constB31, bitIndex1))) | (~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12480,plain,
% 8.38/5.96 (~v127(constB31, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12479, 12478, 12471])).
% 8.38/5.96 tff(12481,plain,
% 8.38/5.96 ((~(v129(constB32, bitIndex1) <=> v127(constB31, bitIndex1))) | (~v129(constB32, bitIndex1)) | v127(constB31, bitIndex1)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12482,plain,
% 8.38/5.96 (~v129(constB32, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12481, 12480, 12467])).
% 8.38/5.96 tff(12483,plain,
% 8.38/5.96 ((~(v90(constB32, bitIndex1) <=> v129(constB32, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12484,plain,
% 8.38/5.96 (~v90(constB32, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12483, 12482, 12463])).
% 8.38/5.96 tff(12485,plain,
% 8.38/5.96 ((~(v90(constB33, bitIndex1) <=> v90(constB32, bitIndex1))) | (~v90(constB33, bitIndex1)) | v90(constB32, bitIndex1)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12486,plain,
% 8.38/5.96 (~v90(constB33, bitIndex1)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12485, 12484, 12459])).
% 8.38/5.96 tff(12487,plain,
% 8.38/5.96 ((~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))) | (~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12488,plain,
% 8.38/5.96 (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12487, 12486, 12455, 12424])).
% 8.38/5.96 tff(12489,plain,
% 8.38/5.96 ((~(v123(constB33) <=> (~((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))))) | v123(constB33) | ((~v90(constB33, bitIndex2)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12490,plain,
% 8.38/5.96 (v123(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12489, 12488, 8128])).
% 8.38/5.96 tff(12491,plain,
% 8.38/5.96 ((v116(constB33) | v123(constB33)) | (~v123(constB33))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12492,plain,
% 8.38/5.96 (v116(constB33) | v123(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12491, 12490])).
% 8.38/5.96 tff(12493,plain,
% 8.38/5.96 ((~(v115(constB33) <=> (v116(constB33) | v123(constB33)))) | v115(constB33) | (~(v116(constB33) | v123(constB33)))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12494,plain,
% 8.38/5.96 (v115(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12493, 12492, 8121])).
% 8.38/5.96 tff(12495,plain,
% 8.38/5.96 ((v115(constB33) | v124(constB33)) | (~v115(constB33))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12496,plain,
% 8.38/5.96 (v115(constB33) | v124(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12495, 12494])).
% 8.38/5.96 tff(12497,plain,
% 8.38/5.96 ((~(v114(constB33) <=> (v115(constB33) | v124(constB33)))) | v114(constB33) | (~(v115(constB33) | v124(constB33)))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12498,plain,
% 8.38/5.96 (v114(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12497, 12496, 8119])).
% 8.38/5.96 tff(12499,plain,
% 8.38/5.96 ((v114(constB33) | v125(constB33)) | (~v114(constB33))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12500,plain,
% 8.38/5.96 (v114(constB33) | v125(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12499, 12498])).
% 8.38/5.96 tff(12501,plain,
% 8.38/5.96 ((~(v113(constB33) <=> (v114(constB33) | v125(constB33)))) | v113(constB33) | (~(v114(constB33) | v125(constB33)))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12502,plain,
% 8.38/5.96 (v113(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12501, 12500, 8117])).
% 8.38/5.96 tff(12503,plain,
% 8.38/5.96 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB33)) <=> v111(constB33))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12504,plain,
% 8.38/5.96 ((~v126(constB33)) <=> v111(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12503, 9720])).
% 8.38/5.96 tff(12505,plain,
% 8.38/5.96 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB33) <=> v26(constB33))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12506,plain,
% 8.38/5.96 (v111(constB33) <=> v26(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12505, 9732])).
% 8.38/5.96 tff(12507,plain,
% 8.38/5.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12508,plain,
% 8.38/5.96 (~v26(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12507, 9744])).
% 8.38/5.96 tff(12509,plain,
% 8.38/5.96 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33)) | v26(constB33)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12510,plain,
% 8.38/5.96 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12509, 12508])).
% 8.38/5.96 tff(12511,plain,
% 8.38/5.96 (~v111(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12510, 12506])).
% 8.38/5.96 tff(12512,plain,
% 8.38/5.96 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33) | v111(constB33)),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12513,plain,
% 8.38/5.96 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12512, 12511])).
% 8.38/5.96 tff(12514,plain,
% 8.38/5.96 (v126(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12513, 12504])).
% 8.38/5.96 tff(12515,plain,
% 8.38/5.96 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33)) | (~v126(constB33))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12516,plain,
% 8.38/5.96 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12515, 12514])).
% 8.38/5.96 tff(12517,plain,
% 8.38/5.96 (~((~v113(constB33)) | (~v126(constB33)))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12516, 12502])).
% 8.38/5.96 tff(12518,plain,
% 8.38/5.96 ((~(v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))) | v112(constB33) | ((~v113(constB33)) | (~v126(constB33)))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12519,plain,
% 8.38/5.96 (v112(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12518, 12517, 8115])).
% 8.38/5.96 tff(12520,plain,
% 8.38/5.96 ((v111(constB33) | v112(constB33)) | (~v112(constB33))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12521,plain,
% 8.38/5.96 (v111(constB33) | v112(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12520, 12519])).
% 8.38/5.96 tff(12522,plain,
% 8.38/5.96 ((~(v108(constB33) <=> (v111(constB33) | v112(constB33)))) | v108(constB33) | (~(v111(constB33) | v112(constB33)))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12523,plain,
% 8.38/5.96 (v108(constB33)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12522, 12521, 8113])).
% 8.38/5.96 tff(12524,plain,
% 8.38/5.96 ((~(v110(constB34) <=> v108(constB33))) | v110(constB34) | (~v108(constB33))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12525,plain,
% 8.38/5.96 (v110(constB34)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12524, 12523, 8111])).
% 8.38/5.96 tff(12526,plain,
% 8.38/5.96 ((~((~v101(constB34)) | (~v110(constB34)))) | (~v101(constB34)) | (~v110(constB34))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12527,plain,
% 8.38/5.96 (~((~v101(constB34)) | (~v110(constB34)))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12526, 12525, 8107])).
% 8.38/5.96 tff(12528,plain,
% 8.38/5.96 ((~(v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))) | v100(constB34) | ((~v101(constB34)) | (~v110(constB34)))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12529,plain,
% 8.38/5.96 (v100(constB34)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12528, 12527, 8076])).
% 8.38/5.96 tff(12530,plain,
% 8.38/5.96 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B))))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12531,plain,
% 8.38/5.96 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B))))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12532,plain,
% 8.38/5.96 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12531, 12530])).
% 8.38/5.96 tff(12533,plain,
% 8.38/5.96 ((~v100(constB34)) | ![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12532, 9780])).
% 8.38/5.96 tff(12534,plain,
% 8.38/5.96 (![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12533, 12529])).
% 8.38/5.96 tff(12535,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12536,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12537,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex2)) | (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 8.38/5.96 tff(12538,plain,
% 8.38/5.96 (v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12537, 648, 12534])).
% 8.38/5.96 tff(12539,plain,
% 8.38/5.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B))))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12540,plain,
% 8.38/5.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B))))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12541,plain,
% 8.38/5.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12540, 12539])).
% 8.38/5.96 tff(12542,plain,
% 8.38/5.96 (![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12541, 8072, 9802])).
% 8.38/5.96 tff(12543,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12544,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12545,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex2)) | (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12544, 12543])).
% 8.38/5.96 tff(12546,plain,
% 8.38/5.96 (v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12545, 648, 12542])).
% 8.38/5.96 tff(12547,plain,
% 8.38/5.96 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB33) | ![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB33) | ![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B))))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12548,plain,
% 8.38/5.96 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB33) | ![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B))))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12549,plain,
% 8.38/5.96 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB33) | ![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12548, 12547])).
% 8.38/5.96 tff(12550,plain,
% 8.38/5.96 (![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12549, 9823, 12511])).
% 8.38/5.96 tff(12551,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12552,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12553,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex2)) | (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12552, 12551])).
% 8.38/5.96 tff(12554,plain,
% 8.38/5.96 (v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12553, 648, 12550])).
% 8.38/5.96 tff(12555,plain,
% 8.38/5.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B))))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12556,plain,
% 8.38/5.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B))))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12557,plain,
% 8.38/5.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12556, 12555])).
% 8.38/5.96 tff(12558,plain,
% 8.38/5.96 ((~v123(constB33)) | ![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12557, 10555])).
% 8.38/5.96 tff(12559,plain,
% 8.38/5.96 (![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12558, 12490])).
% 8.38/5.96 tff(12560,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b101(bitIndex2)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12561,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b101(bitIndex2)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12562,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB33, bitIndex2) <=> b101(bitIndex2))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12561, 12560])).
% 8.38/5.96 tff(12563,plain,
% 8.38/5.96 (v130(constB33, bitIndex2) <=> b101(bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12562, 648, 12559])).
% 8.38/5.96 tff(12564,plain,
% 8.38/5.96 ((~(v130(constB33, bitIndex2) <=> b101(bitIndex2))) | v130(constB33, bitIndex2) | (~b101(bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12565,plain,
% 8.38/5.96 ((~(v130(constB33, bitIndex2) <=> b101(bitIndex2))) | v130(constB33, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12564, 10567])).
% 8.38/5.96 tff(12566,plain,
% 8.38/5.96 (v130(constB33, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12565, 12563])).
% 8.38/5.96 tff(12567,plain,
% 8.38/5.96 ((~(v127(constB33, bitIndex2) <=> v130(constB33, bitIndex2))) | v127(constB33, bitIndex2) | (~v130(constB33, bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12568,plain,
% 8.38/5.96 (v127(constB33, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12567, 12566, 12554])).
% 8.38/5.96 tff(12569,plain,
% 8.38/5.96 ((~(v129(constB34, bitIndex2) <=> v127(constB33, bitIndex2))) | v129(constB34, bitIndex2) | (~v127(constB33, bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12570,plain,
% 8.38/5.96 (v129(constB34, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12569, 12568, 12546])).
% 8.38/5.96 tff(12571,plain,
% 8.38/5.96 ((~(v90(constB34, bitIndex2) <=> v129(constB34, bitIndex2))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12572,plain,
% 8.38/5.96 (v90(constB34, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12571, 12570, 12538])).
% 8.38/5.96 tff(12573,plain,
% 8.38/5.96 ((~(v90(constB35, bitIndex2) <=> v90(constB34, bitIndex2))) | v90(constB35, bitIndex2) | (~v90(constB34, bitIndex2))),
% 8.38/5.96 inference(tautology,[status(thm)],[])).
% 8.38/5.96 tff(12574,plain,
% 8.38/5.96 (v90(constB35, bitIndex2)),
% 8.38/5.96 inference(unit_resolution,[status(thm)],[12573, 12572, 8069])).
% 8.38/5.96 tff(12575,plain,
% 8.38/5.96 (((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)))),
% 8.38/5.96 inference(rewrite,[status(thm)],[])).
% 8.38/5.96 tff(12576,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)))),
% 8.38/5.96 inference(quant_inst,[status(thm)],[])).
% 8.38/5.96 tff(12577,plain,
% 8.38/5.96 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0))),
% 8.38/5.96 inference(modus_ponens,[status(thm)],[12576, 12575])).
% 8.38/5.96 tff(12578,plain,
% 8.38/5.96 (v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12577, 9653, 8065])).
% 8.38/5.97 tff(12579,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12580,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12581,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex0)) | (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12580, 12579])).
% 8.38/5.97 tff(12582,plain,
% 8.38/5.97 (v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12581, 9653, 12534])).
% 8.38/5.97 tff(12583,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12584,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12585,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex0)) | (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 8.38/5.97 tff(12586,plain,
% 8.38/5.97 (v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12585, 9653, 12542])).
% 8.38/5.97 tff(12587,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12588,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12589,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex0)) | (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 8.38/5.97 tff(12590,plain,
% 8.38/5.97 (v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12589, 9653, 12550])).
% 8.38/5.97 tff(12591,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b101(bitIndex0)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12592,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b101(bitIndex0)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12593,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB33, bitIndex0) <=> b101(bitIndex0))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12592, 12591])).
% 8.38/5.97 tff(12594,plain,
% 8.38/5.97 (v130(constB33, bitIndex0) <=> b101(bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12593, 9653, 12559])).
% 8.38/5.97 tff(12595,plain,
% 8.38/5.97 ((~(v130(constB33, bitIndex0) <=> b101(bitIndex0))) | v130(constB33, bitIndex0) | (~b101(bitIndex0))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12596,plain,
% 8.38/5.97 ((~(v130(constB33, bitIndex0) <=> b101(bitIndex0))) | v130(constB33, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12595, 10601])).
% 8.38/5.97 tff(12597,plain,
% 8.38/5.97 (v130(constB33, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12596, 12594])).
% 8.38/5.97 tff(12598,plain,
% 8.38/5.97 ((~(v127(constB33, bitIndex0) <=> v130(constB33, bitIndex0))) | v127(constB33, bitIndex0) | (~v130(constB33, bitIndex0))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12599,plain,
% 8.38/5.97 (v127(constB33, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12598, 12597, 12590])).
% 8.38/5.97 tff(12600,plain,
% 8.38/5.97 ((~(v129(constB34, bitIndex0) <=> v127(constB33, bitIndex0))) | v129(constB34, bitIndex0) | (~v127(constB33, bitIndex0))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12601,plain,
% 8.38/5.97 (v129(constB34, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12600, 12599, 12586])).
% 8.38/5.97 tff(12602,plain,
% 8.38/5.97 ((~(v90(constB34, bitIndex0) <=> v129(constB34, bitIndex0))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12603,plain,
% 8.38/5.97 (v90(constB34, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12602, 12601, 12582])).
% 8.38/5.97 tff(12604,plain,
% 8.38/5.97 ((~(v90(constB35, bitIndex0) <=> v90(constB34, bitIndex0))) | v90(constB35, bitIndex0) | (~v90(constB34, bitIndex0))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12605,plain,
% 8.38/5.97 (v90(constB35, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12604, 12603, 12578])).
% 8.38/5.97 tff(12606,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12607,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12608,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB35, B) <=> v90(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12607, 12606])).
% 8.38/5.97 tff(12609,plain,
% 8.38/5.97 (v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12608, 375, 8065])).
% 8.38/5.97 tff(12610,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12611,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | ((~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12612,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB34, B) <=> v129(constB34, B)))) | (~less_3(bitIndex1)) | (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 8.38/5.97 tff(12613,plain,
% 8.38/5.97 (v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12612, 375, 12534])).
% 8.38/5.97 tff(12614,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12615,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | ((~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12616,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB34, B) <=> v127(constB33, B)))) | (~less_3(bitIndex1)) | (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 8.38/5.97 tff(12617,plain,
% 8.38/5.97 (v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12616, 375, 12542])).
% 8.38/5.97 tff(12618,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12619,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | ((~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12620,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB33, B) <=> v130(constB33, B)))) | (~less_3(bitIndex1)) | (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12619, 12618])).
% 8.38/5.97 tff(12621,plain,
% 8.38/5.97 (v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12620, 375, 12550])).
% 8.38/5.97 tff(12622,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b101(bitIndex1)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12623,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b101(bitIndex1)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12624,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB33, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB33, bitIndex1) <=> b101(bitIndex1))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12623, 12622])).
% 8.38/5.97 tff(12625,plain,
% 8.38/5.97 (v130(constB33, bitIndex1) <=> b101(bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12624, 375, 12559])).
% 8.38/5.97 tff(12626,plain,
% 8.38/5.97 ((~(v130(constB33, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB33, bitIndex1)) | b101(bitIndex1)),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12627,plain,
% 8.38/5.97 ((~(v130(constB33, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB33, bitIndex1))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12626, 10635])).
% 8.38/5.97 tff(12628,plain,
% 8.38/5.97 (~v130(constB33, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12627, 12625])).
% 8.38/5.97 tff(12629,plain,
% 8.38/5.97 ((~(v127(constB33, bitIndex1) <=> v130(constB33, bitIndex1))) | (~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12630,plain,
% 8.38/5.97 (~v127(constB33, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12629, 12628, 12621])).
% 8.38/5.97 tff(12631,plain,
% 8.38/5.97 ((~(v129(constB34, bitIndex1) <=> v127(constB33, bitIndex1))) | (~v129(constB34, bitIndex1)) | v127(constB33, bitIndex1)),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12632,plain,
% 8.38/5.97 (~v129(constB34, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12631, 12630, 12617])).
% 8.38/5.97 tff(12633,plain,
% 8.38/5.97 ((~(v90(constB34, bitIndex1) <=> v129(constB34, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1)),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12634,plain,
% 8.38/5.97 (~v90(constB34, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12633, 12632, 12613])).
% 8.38/5.97 tff(12635,plain,
% 8.38/5.97 ((~(v90(constB35, bitIndex1) <=> v90(constB34, bitIndex1))) | (~v90(constB35, bitIndex1)) | v90(constB34, bitIndex1)),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12636,plain,
% 8.38/5.97 (~v90(constB35, bitIndex1)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12635, 12634, 12609])).
% 8.38/5.97 tff(12637,plain,
% 8.38/5.97 ((~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))) | (~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12638,plain,
% 8.38/5.97 (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12637, 12636, 12605, 12574])).
% 8.38/5.97 tff(12639,plain,
% 8.38/5.97 ((~(v124(constB35) <=> (~((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))))) | v124(constB35) | ((~v90(constB35, bitIndex2)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12640,plain,
% 8.38/5.97 (v124(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12639, 12638, 8037])).
% 8.38/5.97 tff(12641,plain,
% 8.38/5.97 ((v115(constB35) | v124(constB35)) | (~v124(constB35))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12642,plain,
% 8.38/5.97 (v115(constB35) | v124(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12641, 12640])).
% 8.38/5.97 tff(12643,plain,
% 8.38/5.97 ((~(v114(constB35) <=> (v115(constB35) | v124(constB35)))) | v114(constB35) | (~(v115(constB35) | v124(constB35)))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12644,plain,
% 8.38/5.97 (v114(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12643, 12642, 8030])).
% 8.38/5.97 tff(12645,plain,
% 8.38/5.97 ((v114(constB35) | v125(constB35)) | (~v114(constB35))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12646,plain,
% 8.38/5.97 (v114(constB35) | v125(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12645, 12644])).
% 8.38/5.97 tff(12647,plain,
% 8.38/5.97 ((~(v113(constB35) <=> (v114(constB35) | v125(constB35)))) | v113(constB35) | (~(v114(constB35) | v125(constB35)))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12648,plain,
% 8.38/5.97 (v113(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12647, 12646, 8028])).
% 8.38/5.97 tff(12649,plain,
% 8.38/5.97 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB35)) <=> v111(constB35))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12650,plain,
% 8.38/5.97 ((~v126(constB35)) <=> v111(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12649, 9720])).
% 8.38/5.97 tff(12651,plain,
% 8.38/5.97 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB35) <=> v26(constB35))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12652,plain,
% 8.38/5.97 (v111(constB35) <=> v26(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12651, 9732])).
% 8.38/5.97 tff(12653,plain,
% 8.38/5.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12654,plain,
% 8.38/5.97 (~v26(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12653, 9744])).
% 8.38/5.97 tff(12655,plain,
% 8.38/5.97 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35)) | v26(constB35)),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12656,plain,
% 8.38/5.97 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12655, 12654])).
% 8.38/5.97 tff(12657,plain,
% 8.38/5.97 (~v111(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12656, 12652])).
% 8.38/5.97 tff(12658,plain,
% 8.38/5.97 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35) | v111(constB35)),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12659,plain,
% 8.38/5.97 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12658, 12657])).
% 8.38/5.97 tff(12660,plain,
% 8.38/5.97 (v126(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12659, 12650])).
% 8.38/5.97 tff(12661,plain,
% 8.38/5.97 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35)) | (~v126(constB35))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12662,plain,
% 8.38/5.97 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12661, 12660])).
% 8.38/5.97 tff(12663,plain,
% 8.38/5.97 (~((~v113(constB35)) | (~v126(constB35)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12662, 12648])).
% 8.38/5.97 tff(12664,plain,
% 8.38/5.97 ((~(v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))) | v112(constB35) | ((~v113(constB35)) | (~v126(constB35)))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12665,plain,
% 8.38/5.97 (v112(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12664, 12663, 8026])).
% 8.38/5.97 tff(12666,plain,
% 8.38/5.97 ((v111(constB35) | v112(constB35)) | (~v112(constB35))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12667,plain,
% 8.38/5.97 (v111(constB35) | v112(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12666, 12665])).
% 8.38/5.97 tff(12668,plain,
% 8.38/5.97 ((~(v108(constB35) <=> (v111(constB35) | v112(constB35)))) | v108(constB35) | (~(v111(constB35) | v112(constB35)))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12669,plain,
% 8.38/5.97 (v108(constB35)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12668, 12667, 8024])).
% 8.38/5.97 tff(12670,plain,
% 8.38/5.97 ((~(v110(constB36) <=> v108(constB35))) | v110(constB36) | (~v108(constB35))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12671,plain,
% 8.38/5.97 (v110(constB36)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12670, 12669, 8022])).
% 8.38/5.97 tff(12672,plain,
% 8.38/5.97 ((~((~v101(constB36)) | (~v110(constB36)))) | (~v101(constB36)) | (~v110(constB36))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12673,plain,
% 8.38/5.97 (~((~v101(constB36)) | (~v110(constB36)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12672, 12671, 8018])).
% 8.38/5.97 tff(12674,plain,
% 8.38/5.97 ((~(v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))) | v100(constB36) | ((~v101(constB36)) | (~v110(constB36)))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12675,plain,
% 8.38/5.97 (v100(constB36)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12674, 12673, 7987])).
% 8.38/5.97 tff(12676,plain,
% 8.38/5.97 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B))))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12677,plain,
% 8.38/5.97 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B))))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12678,plain,
% 8.38/5.97 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12677, 12676])).
% 8.38/5.97 tff(12679,plain,
% 8.38/5.97 ((~v100(constB36)) | ![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12678, 9780])).
% 8.38/5.97 tff(12680,plain,
% 8.38/5.97 (![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12679, 12675])).
% 8.38/5.97 tff(12681,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12682,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12683,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex2)) | (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12682, 12681])).
% 8.38/5.97 tff(12684,plain,
% 8.38/5.97 (v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12683, 648, 12680])).
% 8.38/5.97 tff(12685,plain,
% 8.38/5.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B))))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12686,plain,
% 8.38/5.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B))))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12687,plain,
% 8.38/5.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12686, 12685])).
% 8.38/5.97 tff(12688,plain,
% 8.38/5.97 (![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12687, 7983, 9802])).
% 8.38/5.97 tff(12689,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12690,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12691,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex2)) | (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12690, 12689])).
% 8.38/5.97 tff(12692,plain,
% 8.38/5.97 (v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12691, 648, 12688])).
% 8.38/5.97 tff(12693,plain,
% 8.38/5.97 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB35) | ![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB35) | ![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B))))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12694,plain,
% 8.38/5.97 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB35) | ![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B))))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12695,plain,
% 8.38/5.97 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB35) | ![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12694, 12693])).
% 8.38/5.97 tff(12696,plain,
% 8.38/5.97 (![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12695, 9823, 12657])).
% 8.38/5.97 tff(12697,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12698,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12699,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex2)) | (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12698, 12697])).
% 8.38/5.97 tff(12700,plain,
% 8.38/5.97 (v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12699, 648, 12696])).
% 8.38/5.97 tff(12701,plain,
% 8.38/5.97 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB35)) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB35)) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B))))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12702,plain,
% 8.38/5.97 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB35)) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B))))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12703,plain,
% 8.38/5.97 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB35)) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12702, 12701])).
% 8.38/5.97 tff(12704,plain,
% 8.38/5.97 ((~v124(constB35)) | ![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12703, 10723])).
% 8.38/5.97 tff(12705,plain,
% 8.38/5.97 (![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12704, 12640])).
% 8.38/5.97 tff(12706,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b110(bitIndex2)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12707,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b110(bitIndex2)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12708,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB35, bitIndex2) <=> b110(bitIndex2))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 8.38/5.97 tff(12709,plain,
% 8.38/5.97 (v130(constB35, bitIndex2) <=> b110(bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12708, 648, 12705])).
% 8.38/5.97 tff(12710,plain,
% 8.38/5.97 ((~(v130(constB35, bitIndex2) <=> b110(bitIndex2))) | v130(constB35, bitIndex2) | (~b110(bitIndex2))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12711,plain,
% 8.38/5.97 ((~(v130(constB35, bitIndex2) <=> b110(bitIndex2))) | v130(constB35, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12710, 10735])).
% 8.38/5.97 tff(12712,plain,
% 8.38/5.97 (v130(constB35, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12711, 12709])).
% 8.38/5.97 tff(12713,plain,
% 8.38/5.97 ((~(v127(constB35, bitIndex2) <=> v130(constB35, bitIndex2))) | v127(constB35, bitIndex2) | (~v130(constB35, bitIndex2))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12714,plain,
% 8.38/5.97 (v127(constB35, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12713, 12712, 12700])).
% 8.38/5.97 tff(12715,plain,
% 8.38/5.97 ((~(v129(constB36, bitIndex2) <=> v127(constB35, bitIndex2))) | v129(constB36, bitIndex2) | (~v127(constB35, bitIndex2))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12716,plain,
% 8.38/5.97 (v129(constB36, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12715, 12714, 12692])).
% 8.38/5.97 tff(12717,plain,
% 8.38/5.97 ((~(v90(constB36, bitIndex2) <=> v129(constB36, bitIndex2))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12718,plain,
% 8.38/5.97 (v90(constB36, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12717, 12716, 12684])).
% 8.38/5.97 tff(12719,plain,
% 8.38/5.97 ((~(v90(constB37, bitIndex2) <=> v90(constB36, bitIndex2))) | v90(constB37, bitIndex2) | (~v90(constB36, bitIndex2))),
% 8.38/5.97 inference(tautology,[status(thm)],[])).
% 8.38/5.97 tff(12720,plain,
% 8.38/5.97 (v90(constB37, bitIndex2)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12719, 12718, 7980])).
% 8.38/5.97 tff(12721,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12722,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12723,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12722, 12721])).
% 8.38/5.97 tff(12724,plain,
% 8.38/5.97 (v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12723, 9653, 7976])).
% 8.38/5.97 tff(12725,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12726,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12727,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex0)) | (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12726, 12725])).
% 8.38/5.97 tff(12728,plain,
% 8.38/5.97 (v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12727, 9653, 12680])).
% 8.38/5.97 tff(12729,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12730,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12731,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex0)) | (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12730, 12729])).
% 8.38/5.97 tff(12732,plain,
% 8.38/5.97 (v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12731, 9653, 12688])).
% 8.38/5.97 tff(12733,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)))),
% 8.38/5.97 inference(rewrite,[status(thm)],[])).
% 8.38/5.97 tff(12734,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)))),
% 8.38/5.97 inference(quant_inst,[status(thm)],[])).
% 8.38/5.97 tff(12735,plain,
% 8.38/5.97 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex0)) | (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0))),
% 8.38/5.97 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 8.38/5.97 tff(12736,plain,
% 8.38/5.97 (v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0)),
% 8.38/5.97 inference(unit_resolution,[status(thm)],[12735, 9653, 12696])).
% 8.38/5.97 tff(12737,plain,
% 8.38/5.97 (((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b110(bitIndex0)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12738,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b110(bitIndex0)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12739,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB35, bitIndex0) <=> b110(bitIndex0))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12738, 12737])).
% 8.38/5.98 tff(12740,plain,
% 8.38/5.98 (v130(constB35, bitIndex0) <=> b110(bitIndex0)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12739, 9653, 12705])).
% 8.38/5.98 tff(12741,plain,
% 8.38/5.98 ((~(v130(constB35, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB35, bitIndex0)) | b110(bitIndex0)),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12742,plain,
% 8.38/5.98 ((~(v130(constB35, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB35, bitIndex0))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12741, 10769])).
% 8.38/5.98 tff(12743,plain,
% 8.38/5.98 (~v130(constB35, bitIndex0)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12742, 12740])).
% 8.38/5.98 tff(12744,plain,
% 8.38/5.98 ((~(v127(constB35, bitIndex0) <=> v130(constB35, bitIndex0))) | (~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12745,plain,
% 8.38/5.98 (~v127(constB35, bitIndex0)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12744, 12743, 12736])).
% 8.38/5.98 tff(12746,plain,
% 8.38/5.98 ((~(v129(constB36, bitIndex0) <=> v127(constB35, bitIndex0))) | (~v129(constB36, bitIndex0)) | v127(constB35, bitIndex0)),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12747,plain,
% 8.38/5.98 (~v129(constB36, bitIndex0)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12746, 12745, 12732])).
% 8.38/5.98 tff(12748,plain,
% 8.38/5.98 ((~(v90(constB36, bitIndex0) <=> v129(constB36, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0)),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12749,plain,
% 8.38/5.98 (~v90(constB36, bitIndex0)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12748, 12747, 12728])).
% 8.38/5.98 tff(12750,plain,
% 8.38/5.98 ((~(v90(constB37, bitIndex0) <=> v90(constB36, bitIndex0))) | (~v90(constB37, bitIndex0)) | v90(constB36, bitIndex0)),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12751,plain,
% 8.38/5.98 (~v90(constB37, bitIndex0)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12750, 12749, 12724])).
% 8.38/5.98 tff(12752,plain,
% 8.38/5.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12753,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12754,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB37, B) <=> v90(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12753, 12752])).
% 8.38/5.98 tff(12755,plain,
% 8.38/5.98 (v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12754, 375, 7976])).
% 8.38/5.98 tff(12756,plain,
% 8.38/5.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12757,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | ((~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12758,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB36, B) <=> v129(constB36, B)))) | (~less_3(bitIndex1)) | (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 8.38/5.98 tff(12759,plain,
% 8.38/5.98 (v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12758, 375, 12680])).
% 8.38/5.98 tff(12760,plain,
% 8.38/5.98 (((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12761,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | ((~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12762,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB36, B) <=> v127(constB35, B)))) | (~less_3(bitIndex1)) | (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12761, 12760])).
% 8.38/5.98 tff(12763,plain,
% 8.38/5.98 (v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12762, 375, 12688])).
% 8.38/5.98 tff(12764,plain,
% 8.38/5.98 (((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12765,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | ((~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12766,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB35, B) <=> v130(constB35, B)))) | (~less_3(bitIndex1)) | (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12765, 12764])).
% 8.38/5.98 tff(12767,plain,
% 8.38/5.98 (v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12766, 375, 12696])).
% 8.38/5.98 tff(12768,plain,
% 8.38/5.98 (((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b110(bitIndex1)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12769,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b110(bitIndex1)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12770,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v130(constB35, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB35, bitIndex1) <=> b110(bitIndex1))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12769, 12768])).
% 8.38/5.98 tff(12771,plain,
% 8.38/5.98 (v130(constB35, bitIndex1) <=> b110(bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12770, 375, 12705])).
% 8.38/5.98 tff(12772,plain,
% 8.38/5.98 ((~(v130(constB35, bitIndex1) <=> b110(bitIndex1))) | v130(constB35, bitIndex1) | (~b110(bitIndex1))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12773,plain,
% 8.38/5.98 ((~(v130(constB35, bitIndex1) <=> b110(bitIndex1))) | v130(constB35, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12772, 10803])).
% 8.38/5.98 tff(12774,plain,
% 8.38/5.98 (v130(constB35, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12773, 12771])).
% 8.38/5.98 tff(12775,plain,
% 8.38/5.98 ((~(v127(constB35, bitIndex1) <=> v130(constB35, bitIndex1))) | v127(constB35, bitIndex1) | (~v130(constB35, bitIndex1))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12776,plain,
% 8.38/5.98 (v127(constB35, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12775, 12774, 12767])).
% 8.38/5.98 tff(12777,plain,
% 8.38/5.98 ((~(v129(constB36, bitIndex1) <=> v127(constB35, bitIndex1))) | v129(constB36, bitIndex1) | (~v127(constB35, bitIndex1))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12778,plain,
% 8.38/5.98 (v129(constB36, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12777, 12776, 12763])).
% 8.38/5.98 tff(12779,plain,
% 8.38/5.98 ((~(v90(constB36, bitIndex1) <=> v129(constB36, bitIndex1))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12780,plain,
% 8.38/5.98 (v90(constB36, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12779, 12778, 12759])).
% 8.38/5.98 tff(12781,plain,
% 8.38/5.98 ((~(v90(constB37, bitIndex1) <=> v90(constB36, bitIndex1))) | v90(constB37, bitIndex1) | (~v90(constB36, bitIndex1))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12782,plain,
% 8.38/5.98 (v90(constB37, bitIndex1)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12781, 12780, 12755])).
% 8.38/5.98 tff(12783,plain,
% 8.38/5.98 ((~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12784,plain,
% 8.38/5.98 (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12783, 12782, 12751, 12720])).
% 8.38/5.98 tff(12785,plain,
% 8.38/5.98 ((~(v125(constB37) <=> (~((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))) | v125(constB37) | ((~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12786,plain,
% 8.38/5.98 (v125(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12785, 12784, 7948])).
% 8.38/5.98 tff(12787,plain,
% 8.38/5.98 ((v114(constB37) | v125(constB37)) | (~v125(constB37))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12788,plain,
% 8.38/5.98 (v114(constB37) | v125(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12787, 12786])).
% 8.38/5.98 tff(12789,plain,
% 8.38/5.98 ((~(v113(constB37) <=> (v114(constB37) | v125(constB37)))) | v113(constB37) | (~(v114(constB37) | v125(constB37)))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12790,plain,
% 8.38/5.98 (v113(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12789, 12788, 7941])).
% 8.38/5.98 tff(12791,plain,
% 8.38/5.98 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB37)) <=> v111(constB37))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12792,plain,
% 8.38/5.98 ((~v126(constB37)) <=> v111(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12791, 9720])).
% 8.38/5.98 tff(12793,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB37) <=> v26(constB37))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12794,plain,
% 8.38/5.98 (v111(constB37) <=> v26(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12793, 9732])).
% 8.38/5.98 tff(12795,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12796,plain,
% 8.38/5.98 (~v26(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12795, 9744])).
% 8.38/5.98 tff(12797,plain,
% 8.38/5.98 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37)) | v26(constB37)),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12798,plain,
% 8.38/5.98 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12797, 12796])).
% 8.38/5.98 tff(12799,plain,
% 8.38/5.98 (~v111(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12798, 12794])).
% 8.38/5.98 tff(12800,plain,
% 8.38/5.98 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37) | v111(constB37)),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12801,plain,
% 8.38/5.98 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12800, 12799])).
% 8.38/5.98 tff(12802,plain,
% 8.38/5.98 (v126(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12801, 12792])).
% 8.38/5.98 tff(12803,plain,
% 8.38/5.98 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37)) | (~v126(constB37))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12804,plain,
% 8.38/5.98 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12803, 12802])).
% 8.38/5.98 tff(12805,plain,
% 8.38/5.98 (~((~v113(constB37)) | (~v126(constB37)))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12804, 12790])).
% 8.38/5.98 tff(12806,plain,
% 8.38/5.98 ((~(v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))) | v112(constB37) | ((~v113(constB37)) | (~v126(constB37)))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12807,plain,
% 8.38/5.98 (v112(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12806, 12805, 7939])).
% 8.38/5.98 tff(12808,plain,
% 8.38/5.98 ((v111(constB37) | v112(constB37)) | (~v112(constB37))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12809,plain,
% 8.38/5.98 (v111(constB37) | v112(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12808, 12807])).
% 8.38/5.98 tff(12810,plain,
% 8.38/5.98 ((~(v108(constB37) <=> (v111(constB37) | v112(constB37)))) | v108(constB37) | (~(v111(constB37) | v112(constB37)))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12811,plain,
% 8.38/5.98 (v108(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12810, 12809, 7937])).
% 8.38/5.98 tff(12812,plain,
% 8.38/5.98 ((~(v110(constB38) <=> v108(constB37))) | v110(constB38) | (~v108(constB37))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12813,plain,
% 8.38/5.98 (v110(constB38)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12812, 12811, 7935])).
% 8.38/5.98 tff(12814,plain,
% 8.38/5.98 ((~((~v101(constB38)) | (~v110(constB38)))) | (~v101(constB38)) | (~v110(constB38))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12815,plain,
% 8.38/5.98 (~((~v101(constB38)) | (~v110(constB38)))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12814, 12813, 7931])).
% 8.38/5.98 tff(12816,plain,
% 8.38/5.98 ((~(v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))) | v100(constB38) | ((~v101(constB38)) | (~v110(constB38)))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12817,plain,
% 8.38/5.98 (v100(constB38)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12816, 12815, 7900])).
% 8.38/5.98 tff(12818,plain,
% 8.38/5.98 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12819,plain,
% 8.38/5.98 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B))))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12820,plain,
% 8.38/5.98 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12819, 12818])).
% 8.38/5.98 tff(12821,plain,
% 8.38/5.98 ((~v100(constB38)) | ![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12820, 9780])).
% 8.38/5.98 tff(12822,plain,
% 8.38/5.98 (![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12821, 12817])).
% 8.38/5.98 tff(12823,plain,
% 8.38/5.98 (((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12824,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12825,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex2)) | (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 8.38/5.98 tff(12826,plain,
% 8.38/5.98 (v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12825, 648, 12822])).
% 8.38/5.98 tff(12827,plain,
% 8.38/5.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12828,plain,
% 8.38/5.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B))))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12829,plain,
% 8.38/5.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12828, 12827])).
% 8.38/5.98 tff(12830,plain,
% 8.38/5.98 (![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12829, 7896, 9802])).
% 8.38/5.98 tff(12831,plain,
% 8.38/5.98 (((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12832,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12833,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex2)) | (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12832, 12831])).
% 8.38/5.98 tff(12834,plain,
% 8.38/5.98 (v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12833, 648, 12830])).
% 8.38/5.98 tff(12835,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB37) | ![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB37) | ![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12836,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB37) | ![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B))))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12837,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB37) | ![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12836, 12835])).
% 8.38/5.98 tff(12838,plain,
% 8.38/5.98 (![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12837, 9823, 12799])).
% 8.38/5.98 tff(12839,plain,
% 8.38/5.98 (((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12840,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12841,plain,
% 8.38/5.98 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex2)) | (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12840, 12839])).
% 8.38/5.98 tff(12842,plain,
% 8.38/5.98 (v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12841, 648, 12838])).
% 8.38/5.98 tff(12843,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12844,plain,
% 8.38/5.98 (v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12843, 9620])).
% 8.38/5.98 tff(12845,plain,
% 8.38/5.98 ((v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex2))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12846,plain,
% 8.38/5.98 (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12845, 12720])).
% 8.38/5.98 tff(12847,plain,
% 8.38/5.98 ((~(v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))))) | (~v119(constB37)) | (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12848,plain,
% 8.38/5.98 (~v119(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12847, 12846, 12844])).
% 8.38/5.98 tff(12849,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12850,plain,
% 8.38/5.98 ((v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2))))) <=> (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12851,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.98 inference(monotonicity,[status(thm)],[12850])).
% 8.38/5.98 tff(12852,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.98 inference(transitivity,[status(thm)],[12851, 12849])).
% 8.38/5.98 tff(12853,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2)))))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12854,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12853, 12852])).
% 8.38/5.98 tff(12855,plain,
% 8.38/5.98 (v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12854, 815])).
% 8.38/5.98 tff(12856,plain,
% 8.38/5.98 (((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex1))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12857,plain,
% 8.38/5.98 ((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12856, 12782])).
% 8.38/5.98 tff(12858,plain,
% 8.38/5.98 ((~(v124(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))) | (~v124(constB37)) | (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12859,plain,
% 8.38/5.98 (~v124(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12858, 12857, 12855])).
% 8.38/5.98 tff(12860,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12861,plain,
% 8.38/5.98 ((v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2))))) <=> (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12862,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)))))),
% 8.38/5.98 inference(monotonicity,[status(thm)],[12861])).
% 8.38/5.98 tff(12863,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)))))),
% 8.38/5.98 inference(transitivity,[status(thm)],[12862, 12860])).
% 8.38/5.98 tff(12864,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)))))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12865,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0))))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12864, 12863])).
% 8.38/5.98 tff(12866,plain,
% 8.38/5.98 (v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12865, 919])).
% 8.38/5.98 tff(12867,plain,
% 8.38/5.98 (((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12868,plain,
% 8.38/5.98 ((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12867, 12782])).
% 8.38/5.98 tff(12869,plain,
% 8.38/5.98 ((~(v123(constB37) <=> (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0))))) | (~v123(constB37)) | (~((~v90(constB37, bitIndex2)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex0)))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12870,plain,
% 8.38/5.98 (~v123(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12869, 12868, 12866])).
% 8.38/5.98 tff(12871,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12872,plain,
% 8.38/5.98 ((v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1))))) <=> (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))),
% 8.38/5.98 inference(rewrite,[status(thm)],[])).
% 8.38/5.98 tff(12873,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.98 inference(monotonicity,[status(thm)],[12872])).
% 8.38/5.98 tff(12874,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.98 inference(transitivity,[status(thm)],[12873, 12871])).
% 8.38/5.98 tff(12875,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1)))))),
% 8.38/5.98 inference(quant_inst,[status(thm)],[])).
% 8.38/5.98 tff(12876,plain,
% 8.38/5.98 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))),
% 8.38/5.98 inference(modus_ponens,[status(thm)],[12875, 12874])).
% 8.38/5.98 tff(12877,plain,
% 8.38/5.98 (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12876, 1025])).
% 8.38/5.98 tff(12878,plain,
% 8.38/5.98 ((v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex2))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12879,plain,
% 8.38/5.98 (v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12878, 12720])).
% 8.38/5.98 tff(12880,plain,
% 8.38/5.98 ((~(v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))) | (~v122(constB37)) | (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))),
% 8.38/5.98 inference(tautology,[status(thm)],[])).
% 8.38/5.98 tff(12881,plain,
% 8.38/5.98 (~v122(constB37)),
% 8.38/5.98 inference(unit_resolution,[status(thm)],[12880, 12879, 12877])).
% 8.38/5.98 tff(12882,plain,
% 8.38/5.98 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12883,plain,
% 8.38/5.99 ((v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1))))) <=> (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12884,plain,
% 8.38/5.99 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))))),
% 8.38/5.99 inference(monotonicity,[status(thm)],[12883])).
% 8.38/5.99 tff(12885,plain,
% 8.38/5.99 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))))),
% 8.38/5.99 inference(transitivity,[status(thm)],[12884, 12882])).
% 8.38/5.99 tff(12886,plain,
% 8.38/5.99 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)))))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12887,plain,
% 8.38/5.99 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12886, 12885])).
% 8.38/5.99 tff(12888,plain,
% 8.38/5.99 (v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12887, 1133])).
% 8.38/5.99 tff(12889,plain,
% 8.38/5.99 ((v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12890,plain,
% 8.38/5.99 (v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12889, 12720])).
% 8.38/5.99 tff(12891,plain,
% 8.38/5.99 ((~(v121(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0))))) | (~v121(constB37)) | (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | v90(constB37, bitIndex0)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12892,plain,
% 8.38/5.99 (~v121(constB37)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12891, 12890, 12888])).
% 8.38/5.99 tff(12893,plain,
% 8.38/5.99 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12894,plain,
% 8.38/5.99 ((v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))))) <=> (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12895,plain,
% 8.38/5.99 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.99 inference(monotonicity,[status(thm)],[12894])).
% 8.38/5.99 tff(12896,plain,
% 8.38/5.99 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))))),
% 8.38/5.99 inference(transitivity,[status(thm)],[12895, 12893])).
% 8.38/5.99 tff(12897,plain,
% 8.38/5.99 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12898,plain,
% 8.38/5.99 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12897, 12896])).
% 8.38/5.99 tff(12899,plain,
% 8.38/5.99 (v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12898, 610])).
% 8.38/5.99 tff(12900,plain,
% 8.38/5.99 ((v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex2))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12901,plain,
% 8.38/5.99 (v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12900, 12720])).
% 8.38/5.99 tff(12902,plain,
% 8.38/5.99 ((~(v120(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)))))) | (~v120(constB37)) | (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0))))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12903,plain,
% 8.38/5.99 (~v120(constB37)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12902, 12901, 12899])).
% 8.38/5.99 tff(12904,plain,
% 8.38/5.99 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12905,plain,
% 8.38/5.99 ((v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) <=> (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12906,plain,
% 8.38/5.99 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))))),
% 8.38/5.99 inference(monotonicity,[status(thm)],[12905])).
% 8.38/5.99 tff(12907,plain,
% 8.38/5.99 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))),
% 8.38/5.99 inference(transitivity,[status(thm)],[12906, 12904])).
% 8.38/5.99 tff(12908,plain,
% 8.38/5.99 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B))))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12909,plain,
% 8.38/5.99 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12908, 12907])).
% 8.38/5.99 tff(12910,plain,
% 8.38/5.99 (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | ![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12909, 10951])).
% 8.38/5.99 tff(12911,plain,
% 8.38/5.99 (![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12910, 12903, 12892, 12881, 12870, 12859, 12848])).
% 8.38/5.99 tff(12912,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b001(bitIndex2)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12913,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b001(bitIndex2)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12914,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB37, bitIndex2) <=> b001(bitIndex2))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12913, 12912])).
% 8.38/5.99 tff(12915,plain,
% 8.38/5.99 (v130(constB37, bitIndex2) <=> b001(bitIndex2)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12914, 648, 12911])).
% 8.38/5.99 tff(12916,plain,
% 8.38/5.99 ((~(v130(constB37, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB37, bitIndex2)) | b001(bitIndex2)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12917,plain,
% 8.38/5.99 ((~(v130(constB37, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB37, bitIndex2))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12916, 9855])).
% 8.38/5.99 tff(12918,plain,
% 8.38/5.99 (~v130(constB37, bitIndex2)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12917, 12915])).
% 8.38/5.99 tff(12919,plain,
% 8.38/5.99 ((~(v127(constB37, bitIndex2) <=> v130(constB37, bitIndex2))) | (~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12920,plain,
% 8.38/5.99 (~v127(constB37, bitIndex2)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12919, 12918, 12842])).
% 8.38/5.99 tff(12921,plain,
% 8.38/5.99 ((~(v129(constB38, bitIndex2) <=> v127(constB37, bitIndex2))) | (~v129(constB38, bitIndex2)) | v127(constB37, bitIndex2)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12922,plain,
% 8.38/5.99 (~v129(constB38, bitIndex2)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12921, 12920, 12834])).
% 8.38/5.99 tff(12923,plain,
% 8.38/5.99 ((~(v90(constB38, bitIndex2) <=> v129(constB38, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12924,plain,
% 8.38/5.99 (~v90(constB38, bitIndex2)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12923, 12922, 12826])).
% 8.38/5.99 tff(12925,plain,
% 8.38/5.99 ((~(v90(constB39, bitIndex2) <=> v90(constB38, bitIndex2))) | (~v90(constB39, bitIndex2)) | v90(constB38, bitIndex2)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12926,plain,
% 8.38/5.99 (~v90(constB39, bitIndex2)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12925, 12924, 7893])).
% 8.38/5.99 tff(12927,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12928,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12929,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12928, 12927])).
% 8.38/5.99 tff(12930,plain,
% 8.38/5.99 (v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12929, 9653, 7889])).
% 8.38/5.99 tff(12931,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12932,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12933,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex0)) | (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12932, 12931])).
% 8.38/5.99 tff(12934,plain,
% 8.38/5.99 (v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12933, 9653, 12822])).
% 8.38/5.99 tff(12935,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12936,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12937,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex0)) | (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12936, 12935])).
% 8.38/5.99 tff(12938,plain,
% 8.38/5.99 (v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12937, 9653, 12830])).
% 8.38/5.99 tff(12939,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12940,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12941,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex0)) | (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12940, 12939])).
% 8.38/5.99 tff(12942,plain,
% 8.38/5.99 (v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12941, 9653, 12838])).
% 8.38/5.99 tff(12943,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b001(bitIndex0)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12944,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b001(bitIndex0)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12945,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB37, bitIndex0) <=> b001(bitIndex0))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 8.38/5.99 tff(12946,plain,
% 8.38/5.99 (v130(constB37, bitIndex0) <=> b001(bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12945, 9653, 12911])).
% 8.38/5.99 tff(12947,plain,
% 8.38/5.99 ((~(v130(constB37, bitIndex0) <=> b001(bitIndex0))) | v130(constB37, bitIndex0) | (~b001(bitIndex0))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12948,plain,
% 8.38/5.99 ((~(v130(constB37, bitIndex0) <=> b001(bitIndex0))) | v130(constB37, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12947, 9889])).
% 8.38/5.99 tff(12949,plain,
% 8.38/5.99 (v130(constB37, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12948, 12946])).
% 8.38/5.99 tff(12950,plain,
% 8.38/5.99 ((~(v127(constB37, bitIndex0) <=> v130(constB37, bitIndex0))) | v127(constB37, bitIndex0) | (~v130(constB37, bitIndex0))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12951,plain,
% 8.38/5.99 (v127(constB37, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12950, 12949, 12942])).
% 8.38/5.99 tff(12952,plain,
% 8.38/5.99 ((~(v129(constB38, bitIndex0) <=> v127(constB37, bitIndex0))) | v129(constB38, bitIndex0) | (~v127(constB37, bitIndex0))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12953,plain,
% 8.38/5.99 (v129(constB38, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12952, 12951, 12938])).
% 8.38/5.99 tff(12954,plain,
% 8.38/5.99 ((~(v90(constB38, bitIndex0) <=> v129(constB38, bitIndex0))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12955,plain,
% 8.38/5.99 (v90(constB38, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12954, 12953, 12934])).
% 8.38/5.99 tff(12956,plain,
% 8.38/5.99 ((~(v90(constB39, bitIndex0) <=> v90(constB38, bitIndex0))) | v90(constB39, bitIndex0) | (~v90(constB38, bitIndex0))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12957,plain,
% 8.38/5.99 (v90(constB39, bitIndex0)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12956, 12955, 12930])).
% 8.38/5.99 tff(12958,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12959,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12960,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB39, B) <=> v90(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12959, 12958])).
% 8.38/5.99 tff(12961,plain,
% 8.38/5.99 (v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12960, 375, 7889])).
% 8.38/5.99 tff(12962,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12963,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | ((~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12964,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v90(constB38, B) <=> v129(constB38, B)))) | (~less_3(bitIndex1)) | (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12963, 12962])).
% 8.38/5.99 tff(12965,plain,
% 8.38/5.99 (v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12964, 375, 12822])).
% 8.38/5.99 tff(12966,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12967,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | ((~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12968,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v129(constB38, B) <=> v127(constB37, B)))) | (~less_3(bitIndex1)) | (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 8.38/5.99 tff(12969,plain,
% 8.38/5.99 (v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12968, 375, 12830])).
% 8.38/5.99 tff(12970,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12971,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | ((~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12972,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v127(constB37, B) <=> v130(constB37, B)))) | (~less_3(bitIndex1)) | (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12971, 12970])).
% 8.38/5.99 tff(12973,plain,
% 8.38/5.99 (v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12972, 375, 12838])).
% 8.38/5.99 tff(12974,plain,
% 8.38/5.99 (((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b001(bitIndex1)))),
% 8.38/5.99 inference(rewrite,[status(thm)],[])).
% 8.38/5.99 tff(12975,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b001(bitIndex1)))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(12976,plain,
% 8.38/5.99 ((~![B: $i] : ((~less_3(B)) | (v130(constB37, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB37, bitIndex1) <=> b001(bitIndex1))),
% 8.38/5.99 inference(modus_ponens,[status(thm)],[12975, 12974])).
% 8.38/5.99 tff(12977,plain,
% 8.38/5.99 (v130(constB37, bitIndex1) <=> b001(bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12976, 375, 12911])).
% 8.38/5.99 tff(12978,plain,
% 8.38/5.99 ((~(v130(constB37, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB37, bitIndex1)) | b001(bitIndex1)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12979,plain,
% 8.38/5.99 ((~(v130(constB37, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB37, bitIndex1))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12978, 9923])).
% 8.38/5.99 tff(12980,plain,
% 8.38/5.99 (~v130(constB37, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12979, 12977])).
% 8.38/5.99 tff(12981,plain,
% 8.38/5.99 ((~(v127(constB37, bitIndex1) <=> v130(constB37, bitIndex1))) | (~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12982,plain,
% 8.38/5.99 (~v127(constB37, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12981, 12980, 12973])).
% 8.38/5.99 tff(12983,plain,
% 8.38/5.99 ((~(v129(constB38, bitIndex1) <=> v127(constB37, bitIndex1))) | (~v129(constB38, bitIndex1)) | v127(constB37, bitIndex1)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12984,plain,
% 8.38/5.99 (~v129(constB38, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12983, 12982, 12969])).
% 8.38/5.99 tff(12985,plain,
% 8.38/5.99 ((~(v90(constB38, bitIndex1) <=> v129(constB38, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12986,plain,
% 8.38/5.99 (~v90(constB38, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12985, 12984, 12965])).
% 8.38/5.99 tff(12987,plain,
% 8.38/5.99 ((~(v90(constB39, bitIndex1) <=> v90(constB38, bitIndex1))) | (~v90(constB39, bitIndex1)) | v90(constB38, bitIndex1)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12988,plain,
% 8.38/5.99 (~v90(constB39, bitIndex1)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12987, 12986, 12961])).
% 8.38/5.99 tff(12989,plain,
% 8.38/5.99 ((~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))) | v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12990,plain,
% 8.38/5.99 (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12989, 12988, 12957, 12926])).
% 8.38/5.99 tff(12991,plain,
% 8.38/5.99 ((~(v120(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))))) | v120(constB39) | (v90(constB39, bitIndex2) | v90(constB39, bitIndex1) | (~v90(constB39, bitIndex0)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12992,plain,
% 8.38/5.99 (v120(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12991, 12990, 7861])).
% 8.38/5.99 tff(12993,plain,
% 8.38/5.99 ((v119(constB39) | v120(constB39)) | (~v120(constB39))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12994,plain,
% 8.38/5.99 (v119(constB39) | v120(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12993, 12992])).
% 8.38/5.99 tff(12995,plain,
% 8.38/5.99 ((~(v118(constB39) <=> (v119(constB39) | v120(constB39)))) | v118(constB39) | (~(v119(constB39) | v120(constB39)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12996,plain,
% 8.38/5.99 (v118(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12995, 12994, 7854])).
% 8.38/5.99 tff(12997,plain,
% 8.38/5.99 ((v118(constB39) | v121(constB39)) | (~v118(constB39))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(12998,plain,
% 8.38/5.99 (v118(constB39) | v121(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12997, 12996])).
% 8.38/5.99 tff(12999,plain,
% 8.38/5.99 ((~(v117(constB39) <=> (v118(constB39) | v121(constB39)))) | v117(constB39) | (~(v118(constB39) | v121(constB39)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13000,plain,
% 8.38/5.99 (v117(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[12999, 12998, 7852])).
% 8.38/5.99 tff(13001,plain,
% 8.38/5.99 ((v117(constB39) | v122(constB39)) | (~v117(constB39))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13002,plain,
% 8.38/5.99 (v117(constB39) | v122(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13001, 13000])).
% 8.38/5.99 tff(13003,plain,
% 8.38/5.99 ((~(v116(constB39) <=> (v117(constB39) | v122(constB39)))) | v116(constB39) | (~(v117(constB39) | v122(constB39)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13004,plain,
% 8.38/5.99 (v116(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13003, 13002, 7850])).
% 8.38/5.99 tff(13005,plain,
% 8.38/5.99 ((v116(constB39) | v123(constB39)) | (~v116(constB39))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13006,plain,
% 8.38/5.99 (v116(constB39) | v123(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13005, 13004])).
% 8.38/5.99 tff(13007,plain,
% 8.38/5.99 ((~(v115(constB39) <=> (v116(constB39) | v123(constB39)))) | v115(constB39) | (~(v116(constB39) | v123(constB39)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13008,plain,
% 8.38/5.99 (v115(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13007, 13006, 7848])).
% 8.38/5.99 tff(13009,plain,
% 8.38/5.99 ((v115(constB39) | v124(constB39)) | (~v115(constB39))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13010,plain,
% 8.38/5.99 (v115(constB39) | v124(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13009, 13008])).
% 8.38/5.99 tff(13011,plain,
% 8.38/5.99 ((~(v114(constB39) <=> (v115(constB39) | v124(constB39)))) | v114(constB39) | (~(v115(constB39) | v124(constB39)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13012,plain,
% 8.38/5.99 (v114(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13011, 13010, 7846])).
% 8.38/5.99 tff(13013,plain,
% 8.38/5.99 ((v114(constB39) | v125(constB39)) | (~v114(constB39))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13014,plain,
% 8.38/5.99 (v114(constB39) | v125(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13013, 13012])).
% 8.38/5.99 tff(13015,plain,
% 8.38/5.99 ((~(v113(constB39) <=> (v114(constB39) | v125(constB39)))) | v113(constB39) | (~(v114(constB39) | v125(constB39)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13016,plain,
% 8.38/5.99 (v113(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13015, 13014, 7844])).
% 8.38/5.99 tff(13017,plain,
% 8.38/5.99 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB39)) <=> v111(constB39))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(13018,plain,
% 8.38/5.99 ((~v126(constB39)) <=> v111(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13017, 9720])).
% 8.38/5.99 tff(13019,plain,
% 8.38/5.99 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB39) <=> v26(constB39))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(13020,plain,
% 8.38/5.99 (v111(constB39) <=> v26(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13019, 9732])).
% 8.38/5.99 tff(13021,plain,
% 8.38/5.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 8.38/5.99 inference(quant_inst,[status(thm)],[])).
% 8.38/5.99 tff(13022,plain,
% 8.38/5.99 (~v26(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13021, 9744])).
% 8.38/5.99 tff(13023,plain,
% 8.38/5.99 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39)) | v26(constB39)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13024,plain,
% 8.38/5.99 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13023, 13022])).
% 8.38/5.99 tff(13025,plain,
% 8.38/5.99 (~v111(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13024, 13020])).
% 8.38/5.99 tff(13026,plain,
% 8.38/5.99 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39) | v111(constB39)),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13027,plain,
% 8.38/5.99 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13026, 13025])).
% 8.38/5.99 tff(13028,plain,
% 8.38/5.99 (v126(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13027, 13018])).
% 8.38/5.99 tff(13029,plain,
% 8.38/5.99 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39)) | (~v126(constB39))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13030,plain,
% 8.38/5.99 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13029, 13028])).
% 8.38/5.99 tff(13031,plain,
% 8.38/5.99 (~((~v113(constB39)) | (~v126(constB39)))),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13030, 13016])).
% 8.38/5.99 tff(13032,plain,
% 8.38/5.99 ((~(v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))) | v112(constB39) | ((~v113(constB39)) | (~v126(constB39)))),
% 8.38/5.99 inference(tautology,[status(thm)],[])).
% 8.38/5.99 tff(13033,plain,
% 8.38/5.99 (v112(constB39)),
% 8.38/5.99 inference(unit_resolution,[status(thm)],[13032, 13031, 7842])).
% 8.38/6.00 tff(13034,plain,
% 8.38/6.00 ((v111(constB39) | v112(constB39)) | (~v112(constB39))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13035,plain,
% 8.38/6.00 (v111(constB39) | v112(constB39)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13034, 13033])).
% 8.38/6.00 tff(13036,plain,
% 8.38/6.00 ((~(v108(constB39) <=> (v111(constB39) | v112(constB39)))) | v108(constB39) | (~(v111(constB39) | v112(constB39)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13037,plain,
% 8.38/6.00 (v108(constB39)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13036, 13035, 7840])).
% 8.38/6.00 tff(13038,plain,
% 8.38/6.00 ((~(v110(constB40) <=> v108(constB39))) | v110(constB40) | (~v108(constB39))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13039,plain,
% 8.38/6.00 (v110(constB40)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13038, 13037, 7838])).
% 8.38/6.00 tff(13040,plain,
% 8.38/6.00 ((~((~v101(constB40)) | (~v110(constB40)))) | (~v101(constB40)) | (~v110(constB40))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13041,plain,
% 8.38/6.00 (~((~v101(constB40)) | (~v110(constB40)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13040, 13039, 7834])).
% 8.38/6.00 tff(13042,plain,
% 8.38/6.00 ((~(v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))) | v100(constB40) | ((~v101(constB40)) | (~v110(constB40)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13043,plain,
% 8.38/6.00 (v100(constB40)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13042, 13041, 7803])).
% 8.38/6.00 tff(13044,plain,
% 8.38/6.00 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B))))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13045,plain,
% 8.38/6.00 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B))))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13046,plain,
% 8.38/6.00 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13045, 13044])).
% 8.38/6.00 tff(13047,plain,
% 8.38/6.00 ((~v100(constB40)) | ![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13046, 9780])).
% 8.38/6.00 tff(13048,plain,
% 8.38/6.00 (![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13047, 13043])).
% 8.38/6.00 tff(13049,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13050,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13051,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex2)) | (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13050, 13049])).
% 8.38/6.00 tff(13052,plain,
% 8.38/6.00 (v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13051, 648, 13048])).
% 8.38/6.00 tff(13053,plain,
% 8.38/6.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B))))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13054,plain,
% 8.38/6.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B))))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13055,plain,
% 8.38/6.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 8.38/6.00 tff(13056,plain,
% 8.38/6.00 (![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13055, 7799, 9802])).
% 8.38/6.00 tff(13057,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13058,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13059,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex2)) | (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13058, 13057])).
% 8.38/6.00 tff(13060,plain,
% 8.38/6.00 (v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13059, 648, 13056])).
% 8.38/6.00 tff(13061,plain,
% 8.38/6.00 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB39) | ![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB39) | ![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B))))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13062,plain,
% 8.38/6.00 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB39) | ![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B))))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13063,plain,
% 8.38/6.00 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB39) | ![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13062, 13061])).
% 8.38/6.00 tff(13064,plain,
% 8.38/6.00 (![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13063, 9823, 13025])).
% 8.38/6.00 tff(13065,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13066,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13067,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex2)) | (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 8.38/6.00 tff(13068,plain,
% 8.38/6.00 (v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13067, 648, 13064])).
% 8.38/6.00 tff(13069,plain,
% 8.38/6.00 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B))))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13070,plain,
% 8.38/6.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B))))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13071,plain,
% 8.38/6.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 8.38/6.00 tff(13072,plain,
% 8.38/6.00 ((~v120(constB39)) | ![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13071, 10027])).
% 8.38/6.00 tff(13073,plain,
% 8.38/6.00 (![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13072, 12992])).
% 8.38/6.00 tff(13074,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b010(bitIndex2)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13075,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b010(bitIndex2)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13076,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB39, bitIndex2) <=> b010(bitIndex2))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13075, 13074])).
% 8.38/6.00 tff(13077,plain,
% 8.38/6.00 (v130(constB39, bitIndex2) <=> b010(bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13076, 648, 13073])).
% 8.38/6.00 tff(13078,plain,
% 8.38/6.00 ((~(v130(constB39, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB39, bitIndex2)) | b010(bitIndex2)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13079,plain,
% 8.38/6.00 ((~(v130(constB39, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB39, bitIndex2))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13078, 10039])).
% 8.38/6.00 tff(13080,plain,
% 8.38/6.00 (~v130(constB39, bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13079, 13077])).
% 8.38/6.00 tff(13081,plain,
% 8.38/6.00 ((~(v127(constB39, bitIndex2) <=> v130(constB39, bitIndex2))) | (~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13082,plain,
% 8.38/6.00 (~v127(constB39, bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13081, 13080, 13068])).
% 8.38/6.00 tff(13083,plain,
% 8.38/6.00 ((~(v129(constB40, bitIndex2) <=> v127(constB39, bitIndex2))) | (~v129(constB40, bitIndex2)) | v127(constB39, bitIndex2)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13084,plain,
% 8.38/6.00 (~v129(constB40, bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13083, 13082, 13060])).
% 8.38/6.00 tff(13085,plain,
% 8.38/6.00 ((~(v90(constB40, bitIndex2) <=> v129(constB40, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13086,plain,
% 8.38/6.00 (~v90(constB40, bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13085, 13084, 13052])).
% 8.38/6.00 tff(13087,plain,
% 8.38/6.00 ((~(v90(constB41, bitIndex2) <=> v90(constB40, bitIndex2))) | (~v90(constB41, bitIndex2)) | v90(constB40, bitIndex2)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13088,plain,
% 8.38/6.00 (~v90(constB41, bitIndex2)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13087, 13086, 7796])).
% 8.38/6.00 tff(13089,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13090,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13091,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13090, 13089])).
% 8.38/6.00 tff(13092,plain,
% 8.38/6.00 (v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13091, 9653, 7792])).
% 8.38/6.00 tff(13093,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13094,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13095,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex0)) | (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 8.38/6.00 tff(13096,plain,
% 8.38/6.00 (v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13095, 9653, 13048])).
% 8.38/6.00 tff(13097,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13098,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13099,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex0)) | (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13098, 13097])).
% 8.38/6.00 tff(13100,plain,
% 8.38/6.00 (v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13099, 9653, 13056])).
% 8.38/6.00 tff(13101,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13102,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13103,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex0)) | (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13102, 13101])).
% 8.38/6.00 tff(13104,plain,
% 8.38/6.00 (v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13103, 9653, 13064])).
% 8.38/6.00 tff(13105,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b010(bitIndex0)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13106,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b010(bitIndex0)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13107,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB39, bitIndex0) <=> b010(bitIndex0))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13106, 13105])).
% 8.38/6.00 tff(13108,plain,
% 8.38/6.00 (v130(constB39, bitIndex0) <=> b010(bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13107, 9653, 13073])).
% 8.38/6.00 tff(13109,plain,
% 8.38/6.00 ((~(v130(constB39, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB39, bitIndex0)) | b010(bitIndex0)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13110,plain,
% 8.38/6.00 ((~(v130(constB39, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB39, bitIndex0))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13109, 10073])).
% 8.38/6.00 tff(13111,plain,
% 8.38/6.00 (~v130(constB39, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13110, 13108])).
% 8.38/6.00 tff(13112,plain,
% 8.38/6.00 ((~(v127(constB39, bitIndex0) <=> v130(constB39, bitIndex0))) | (~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13113,plain,
% 8.38/6.00 (~v127(constB39, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13112, 13111, 13104])).
% 8.38/6.00 tff(13114,plain,
% 8.38/6.00 ((~(v129(constB40, bitIndex0) <=> v127(constB39, bitIndex0))) | (~v129(constB40, bitIndex0)) | v127(constB39, bitIndex0)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13115,plain,
% 8.38/6.00 (~v129(constB40, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13114, 13113, 13100])).
% 8.38/6.00 tff(13116,plain,
% 8.38/6.00 ((~(v90(constB40, bitIndex0) <=> v129(constB40, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13117,plain,
% 8.38/6.00 (~v90(constB40, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13116, 13115, 13096])).
% 8.38/6.00 tff(13118,plain,
% 8.38/6.00 ((~(v90(constB41, bitIndex0) <=> v90(constB40, bitIndex0))) | (~v90(constB41, bitIndex0)) | v90(constB40, bitIndex0)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13119,plain,
% 8.38/6.00 (~v90(constB41, bitIndex0)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13118, 13117, 13092])).
% 8.38/6.00 tff(13120,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13121,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13122,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB41, B) <=> v90(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13121, 13120])).
% 8.38/6.00 tff(13123,plain,
% 8.38/6.00 (v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13122, 375, 7792])).
% 8.38/6.00 tff(13124,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13125,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | ((~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13126,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v90(constB40, B) <=> v129(constB40, B)))) | (~less_3(bitIndex1)) | (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 8.38/6.00 tff(13127,plain,
% 8.38/6.00 (v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13126, 375, 13048])).
% 8.38/6.00 tff(13128,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13129,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | ((~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13130,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v129(constB40, B) <=> v127(constB39, B)))) | (~less_3(bitIndex1)) | (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13129, 13128])).
% 8.38/6.00 tff(13131,plain,
% 8.38/6.00 (v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13130, 375, 13056])).
% 8.38/6.00 tff(13132,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13133,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | ((~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13134,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v127(constB39, B) <=> v130(constB39, B)))) | (~less_3(bitIndex1)) | (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13133, 13132])).
% 8.38/6.00 tff(13135,plain,
% 8.38/6.00 (v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13134, 375, 13064])).
% 8.38/6.00 tff(13136,plain,
% 8.38/6.00 (((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b010(bitIndex1)))),
% 8.38/6.00 inference(rewrite,[status(thm)],[])).
% 8.38/6.00 tff(13137,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b010(bitIndex1)))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13138,plain,
% 8.38/6.00 ((~![B: $i] : ((~less_3(B)) | (v130(constB39, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB39, bitIndex1) <=> b010(bitIndex1))),
% 8.38/6.00 inference(modus_ponens,[status(thm)],[13137, 13136])).
% 8.38/6.00 tff(13139,plain,
% 8.38/6.00 (v130(constB39, bitIndex1) <=> b010(bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13138, 375, 13073])).
% 8.38/6.00 tff(13140,plain,
% 8.38/6.00 ((~(v130(constB39, bitIndex1) <=> b010(bitIndex1))) | v130(constB39, bitIndex1) | (~b010(bitIndex1))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13141,plain,
% 8.38/6.00 ((~(v130(constB39, bitIndex1) <=> b010(bitIndex1))) | v130(constB39, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13140, 10107])).
% 8.38/6.00 tff(13142,plain,
% 8.38/6.00 (v130(constB39, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13141, 13139])).
% 8.38/6.00 tff(13143,plain,
% 8.38/6.00 ((~(v127(constB39, bitIndex1) <=> v130(constB39, bitIndex1))) | v127(constB39, bitIndex1) | (~v130(constB39, bitIndex1))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13144,plain,
% 8.38/6.00 (v127(constB39, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13143, 13142, 13135])).
% 8.38/6.00 tff(13145,plain,
% 8.38/6.00 ((~(v129(constB40, bitIndex1) <=> v127(constB39, bitIndex1))) | v129(constB40, bitIndex1) | (~v127(constB39, bitIndex1))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13146,plain,
% 8.38/6.00 (v129(constB40, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13145, 13144, 13131])).
% 8.38/6.00 tff(13147,plain,
% 8.38/6.00 ((~(v90(constB40, bitIndex1) <=> v129(constB40, bitIndex1))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13148,plain,
% 8.38/6.00 (v90(constB40, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13147, 13146, 13127])).
% 8.38/6.00 tff(13149,plain,
% 8.38/6.00 ((~(v90(constB41, bitIndex1) <=> v90(constB40, bitIndex1))) | v90(constB41, bitIndex1) | (~v90(constB40, bitIndex1))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13150,plain,
% 8.38/6.00 (v90(constB41, bitIndex1)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13149, 13148, 13123])).
% 8.38/6.00 tff(13151,plain,
% 8.38/6.00 ((~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13152,plain,
% 8.38/6.00 (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13151, 13150, 13119, 13088])).
% 8.38/6.00 tff(13153,plain,
% 8.38/6.00 ((~(v121(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))))) | v121(constB41) | (v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex0))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13154,plain,
% 8.38/6.00 (v121(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13153, 13152, 7764])).
% 8.38/6.00 tff(13155,plain,
% 8.38/6.00 ((v118(constB41) | v121(constB41)) | (~v121(constB41))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13156,plain,
% 8.38/6.00 (v118(constB41) | v121(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13155, 13154])).
% 8.38/6.00 tff(13157,plain,
% 8.38/6.00 ((~(v117(constB41) <=> (v118(constB41) | v121(constB41)))) | v117(constB41) | (~(v118(constB41) | v121(constB41)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13158,plain,
% 8.38/6.00 (v117(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13157, 13156, 7757])).
% 8.38/6.00 tff(13159,plain,
% 8.38/6.00 ((v117(constB41) | v122(constB41)) | (~v117(constB41))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13160,plain,
% 8.38/6.00 (v117(constB41) | v122(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13159, 13158])).
% 8.38/6.00 tff(13161,plain,
% 8.38/6.00 ((~(v116(constB41) <=> (v117(constB41) | v122(constB41)))) | v116(constB41) | (~(v117(constB41) | v122(constB41)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13162,plain,
% 8.38/6.00 (v116(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13161, 13160, 7755])).
% 8.38/6.00 tff(13163,plain,
% 8.38/6.00 ((v116(constB41) | v123(constB41)) | (~v116(constB41))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13164,plain,
% 8.38/6.00 (v116(constB41) | v123(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13163, 13162])).
% 8.38/6.00 tff(13165,plain,
% 8.38/6.00 ((~(v115(constB41) <=> (v116(constB41) | v123(constB41)))) | v115(constB41) | (~(v116(constB41) | v123(constB41)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13166,plain,
% 8.38/6.00 (v115(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13165, 13164, 7753])).
% 8.38/6.00 tff(13167,plain,
% 8.38/6.00 ((v115(constB41) | v124(constB41)) | (~v115(constB41))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13168,plain,
% 8.38/6.00 (v115(constB41) | v124(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13167, 13166])).
% 8.38/6.00 tff(13169,plain,
% 8.38/6.00 ((~(v114(constB41) <=> (v115(constB41) | v124(constB41)))) | v114(constB41) | (~(v115(constB41) | v124(constB41)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13170,plain,
% 8.38/6.00 (v114(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13169, 13168, 7751])).
% 8.38/6.00 tff(13171,plain,
% 8.38/6.00 ((v114(constB41) | v125(constB41)) | (~v114(constB41))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13172,plain,
% 8.38/6.00 (v114(constB41) | v125(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13171, 13170])).
% 8.38/6.00 tff(13173,plain,
% 8.38/6.00 ((~(v113(constB41) <=> (v114(constB41) | v125(constB41)))) | v113(constB41) | (~(v114(constB41) | v125(constB41)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13174,plain,
% 8.38/6.00 (v113(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13173, 13172, 7749])).
% 8.38/6.00 tff(13175,plain,
% 8.38/6.00 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB41)) <=> v111(constB41))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13176,plain,
% 8.38/6.00 ((~v126(constB41)) <=> v111(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13175, 9720])).
% 8.38/6.00 tff(13177,plain,
% 8.38/6.00 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB41) <=> v26(constB41))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13178,plain,
% 8.38/6.00 (v111(constB41) <=> v26(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13177, 9732])).
% 8.38/6.00 tff(13179,plain,
% 8.38/6.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 8.38/6.00 inference(quant_inst,[status(thm)],[])).
% 8.38/6.00 tff(13180,plain,
% 8.38/6.00 (~v26(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13179, 9744])).
% 8.38/6.00 tff(13181,plain,
% 8.38/6.00 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41)) | v26(constB41)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13182,plain,
% 8.38/6.00 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13181, 13180])).
% 8.38/6.00 tff(13183,plain,
% 8.38/6.00 (~v111(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13182, 13178])).
% 8.38/6.00 tff(13184,plain,
% 8.38/6.00 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41) | v111(constB41)),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13185,plain,
% 8.38/6.00 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13184, 13183])).
% 8.38/6.00 tff(13186,plain,
% 8.38/6.00 (v126(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13185, 13176])).
% 8.38/6.00 tff(13187,plain,
% 8.38/6.00 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41)) | (~v126(constB41))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13188,plain,
% 8.38/6.00 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13187, 13186])).
% 8.38/6.00 tff(13189,plain,
% 8.38/6.00 (~((~v113(constB41)) | (~v126(constB41)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13188, 13174])).
% 8.38/6.00 tff(13190,plain,
% 8.38/6.00 ((~(v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))) | v112(constB41) | ((~v113(constB41)) | (~v126(constB41)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13191,plain,
% 8.38/6.00 (v112(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13190, 13189, 7747])).
% 8.38/6.00 tff(13192,plain,
% 8.38/6.00 ((v111(constB41) | v112(constB41)) | (~v112(constB41))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13193,plain,
% 8.38/6.00 (v111(constB41) | v112(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13192, 13191])).
% 8.38/6.00 tff(13194,plain,
% 8.38/6.00 ((~(v108(constB41) <=> (v111(constB41) | v112(constB41)))) | v108(constB41) | (~(v111(constB41) | v112(constB41)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13195,plain,
% 8.38/6.00 (v108(constB41)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13194, 13193, 7745])).
% 8.38/6.00 tff(13196,plain,
% 8.38/6.00 ((~(v110(constB42) <=> v108(constB41))) | v110(constB42) | (~v108(constB41))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13197,plain,
% 8.38/6.00 (v110(constB42)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13196, 13195, 7743])).
% 8.38/6.00 tff(13198,plain,
% 8.38/6.00 ((~((~v101(constB42)) | (~v110(constB42)))) | (~v101(constB42)) | (~v110(constB42))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13199,plain,
% 8.38/6.00 (~((~v101(constB42)) | (~v110(constB42)))),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13198, 13197, 7739])).
% 8.38/6.00 tff(13200,plain,
% 8.38/6.00 ((~(v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))) | v100(constB42) | ((~v101(constB42)) | (~v110(constB42)))),
% 8.38/6.00 inference(tautology,[status(thm)],[])).
% 8.38/6.00 tff(13201,plain,
% 8.38/6.00 (v100(constB42)),
% 8.38/6.00 inference(unit_resolution,[status(thm)],[13200, 13199, 7708])).
% 8.38/6.00 tff(13202,plain,
% 8.38/6.00 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B))))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13203,plain,
% 8.38/6.01 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B))))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13204,plain,
% 8.38/6.01 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 8.38/6.01 tff(13205,plain,
% 8.38/6.01 ((~v100(constB42)) | ![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13204, 9780])).
% 8.38/6.01 tff(13206,plain,
% 8.38/6.01 (![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13205, 13201])).
% 8.38/6.01 tff(13207,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13208,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13209,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex2)) | (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13208, 13207])).
% 8.38/6.01 tff(13210,plain,
% 8.38/6.01 (v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13209, 648, 13206])).
% 8.38/6.01 tff(13211,plain,
% 8.38/6.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B))))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13212,plain,
% 8.38/6.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B))))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13213,plain,
% 8.38/6.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 8.38/6.01 tff(13214,plain,
% 8.38/6.01 (![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13213, 7704, 9802])).
% 8.38/6.01 tff(13215,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13216,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13217,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex2)) | (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 8.38/6.01 tff(13218,plain,
% 8.38/6.01 (v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13217, 648, 13214])).
% 8.38/6.01 tff(13219,plain,
% 8.38/6.01 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB41) | ![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB41) | ![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B))))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13220,plain,
% 8.38/6.01 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB41) | ![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B))))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13221,plain,
% 8.38/6.01 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB41) | ![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 8.38/6.01 tff(13222,plain,
% 8.38/6.01 (![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13221, 9823, 13183])).
% 8.38/6.01 tff(13223,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13224,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13225,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex2)) | (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 8.38/6.01 tff(13226,plain,
% 8.38/6.01 (v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13225, 648, 13222])).
% 8.38/6.01 tff(13227,plain,
% 8.38/6.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B))))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13228,plain,
% 8.38/6.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B))))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13229,plain,
% 8.38/6.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 8.38/6.01 tff(13230,plain,
% 8.38/6.01 ((~v121(constB41)) | ![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13229, 10207])).
% 8.38/6.01 tff(13231,plain,
% 8.38/6.01 (![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13230, 13154])).
% 8.38/6.01 tff(13232,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b011(bitIndex2)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13233,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b011(bitIndex2)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13234,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB41, bitIndex2) <=> b011(bitIndex2))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13233, 13232])).
% 8.38/6.01 tff(13235,plain,
% 8.38/6.01 (v130(constB41, bitIndex2) <=> b011(bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13234, 648, 13231])).
% 8.38/6.01 tff(13236,plain,
% 8.38/6.01 ((~(v130(constB41, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB41, bitIndex2)) | b011(bitIndex2)),
% 8.38/6.01 inference(tautology,[status(thm)],[])).
% 8.38/6.01 tff(13237,plain,
% 8.38/6.01 ((~(v130(constB41, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB41, bitIndex2))),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13236, 10219])).
% 8.38/6.01 tff(13238,plain,
% 8.38/6.01 (~v130(constB41, bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13237, 13235])).
% 8.38/6.01 tff(13239,plain,
% 8.38/6.01 ((~(v127(constB41, bitIndex2) <=> v130(constB41, bitIndex2))) | (~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 8.38/6.01 inference(tautology,[status(thm)],[])).
% 8.38/6.01 tff(13240,plain,
% 8.38/6.01 (~v127(constB41, bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13239, 13238, 13226])).
% 8.38/6.01 tff(13241,plain,
% 8.38/6.01 ((~(v129(constB42, bitIndex2) <=> v127(constB41, bitIndex2))) | (~v129(constB42, bitIndex2)) | v127(constB41, bitIndex2)),
% 8.38/6.01 inference(tautology,[status(thm)],[])).
% 8.38/6.01 tff(13242,plain,
% 8.38/6.01 (~v129(constB42, bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13241, 13240, 13218])).
% 8.38/6.01 tff(13243,plain,
% 8.38/6.01 ((~(v90(constB42, bitIndex2) <=> v129(constB42, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2)),
% 8.38/6.01 inference(tautology,[status(thm)],[])).
% 8.38/6.01 tff(13244,plain,
% 8.38/6.01 (~v90(constB42, bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13243, 13242, 13210])).
% 8.38/6.01 tff(13245,plain,
% 8.38/6.01 ((~(v90(constB43, bitIndex2) <=> v90(constB42, bitIndex2))) | (~v90(constB43, bitIndex2)) | v90(constB42, bitIndex2)),
% 8.38/6.01 inference(tautology,[status(thm)],[])).
% 8.38/6.01 tff(13246,plain,
% 8.38/6.01 (~v90(constB43, bitIndex2)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13245, 13244, 7701])).
% 8.38/6.01 tff(13247,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13248,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13249,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13248, 13247])).
% 8.38/6.01 tff(13250,plain,
% 8.38/6.01 (v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13249, 9653, 7697])).
% 8.38/6.01 tff(13251,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13252,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13253,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex0)) | (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 8.38/6.01 tff(13254,plain,
% 8.38/6.01 (v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13253, 9653, 13206])).
% 8.38/6.01 tff(13255,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13256,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13257,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex0)) | (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 8.38/6.01 tff(13258,plain,
% 8.38/6.01 (v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13257, 9653, 13214])).
% 8.38/6.01 tff(13259,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13260,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13261,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex0)) | (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13260, 13259])).
% 8.38/6.01 tff(13262,plain,
% 8.38/6.01 (v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13261, 9653, 13222])).
% 8.38/6.01 tff(13263,plain,
% 8.38/6.01 (((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b011(bitIndex0)))),
% 8.38/6.01 inference(rewrite,[status(thm)],[])).
% 8.38/6.01 tff(13264,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b011(bitIndex0)))),
% 8.38/6.01 inference(quant_inst,[status(thm)],[])).
% 8.38/6.01 tff(13265,plain,
% 8.38/6.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB41, bitIndex0) <=> b011(bitIndex0))),
% 8.38/6.01 inference(modus_ponens,[status(thm)],[13264, 13263])).
% 8.38/6.01 tff(13266,plain,
% 8.38/6.01 (v130(constB41, bitIndex0) <=> b011(bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13265, 9653, 13231])).
% 8.38/6.01 tff(13267,plain,
% 8.38/6.01 ((~(v130(constB41, bitIndex0) <=> b011(bitIndex0))) | v130(constB41, bitIndex0) | (~b011(bitIndex0))),
% 8.38/6.01 inference(tautology,[status(thm)],[])).
% 8.38/6.01 tff(13268,plain,
% 8.38/6.01 ((~(v130(constB41, bitIndex0) <=> b011(bitIndex0))) | v130(constB41, bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13267, 10253])).
% 8.38/6.01 tff(13269,plain,
% 8.38/6.01 (v130(constB41, bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13268, 13266])).
% 8.38/6.01 tff(13270,plain,
% 8.38/6.01 ((~(v127(constB41, bitIndex0) <=> v130(constB41, bitIndex0))) | v127(constB41, bitIndex0) | (~v130(constB41, bitIndex0))),
% 8.38/6.01 inference(tautology,[status(thm)],[])).
% 8.38/6.01 tff(13271,plain,
% 8.38/6.01 (v127(constB41, bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13270, 13269, 13262])).
% 8.38/6.01 tff(13272,plain,
% 8.38/6.01 ((~(v129(constB42, bitIndex0) <=> v127(constB41, bitIndex0))) | v129(constB42, bitIndex0) | (~v127(constB41, bitIndex0))),
% 8.38/6.01 inference(tautology,[status(thm)],[])).
% 8.38/6.01 tff(13273,plain,
% 8.38/6.01 (v129(constB42, bitIndex0)),
% 8.38/6.01 inference(unit_resolution,[status(thm)],[13272, 13271, 13258])).
% 8.38/6.01 tff(13274,plain,
% 8.38/6.01 ((~(v90(constB42, bitIndex0) <=> v129(constB42, bitIndex0))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13275,plain,
% 8.43/6.01 (v90(constB42, bitIndex0)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13274, 13273, 13254])).
% 8.43/6.01 tff(13276,plain,
% 8.43/6.01 ((~(v90(constB43, bitIndex0) <=> v90(constB42, bitIndex0))) | v90(constB43, bitIndex0) | (~v90(constB42, bitIndex0))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13277,plain,
% 8.43/6.01 (v90(constB43, bitIndex0)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13276, 13275, 13250])).
% 8.43/6.01 tff(13278,plain,
% 8.43/6.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)))),
% 8.43/6.01 inference(rewrite,[status(thm)],[])).
% 8.43/6.01 tff(13279,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13280,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB43, B) <=> v90(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1))),
% 8.43/6.01 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 8.43/6.01 tff(13281,plain,
% 8.43/6.01 (v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13280, 375, 7697])).
% 8.43/6.01 tff(13282,plain,
% 8.43/6.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)))),
% 8.43/6.01 inference(rewrite,[status(thm)],[])).
% 8.43/6.01 tff(13283,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | ((~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13284,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB42, B) <=> v129(constB42, B)))) | (~less_3(bitIndex1)) | (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1))),
% 8.43/6.01 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 8.43/6.01 tff(13285,plain,
% 8.43/6.01 (v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13284, 375, 13206])).
% 8.43/6.01 tff(13286,plain,
% 8.43/6.01 (((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)))),
% 8.43/6.01 inference(rewrite,[status(thm)],[])).
% 8.43/6.01 tff(13287,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | ((~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13288,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v129(constB42, B) <=> v127(constB41, B)))) | (~less_3(bitIndex1)) | (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1))),
% 8.43/6.01 inference(modus_ponens,[status(thm)],[13287, 13286])).
% 8.43/6.01 tff(13289,plain,
% 8.43/6.01 (v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13288, 375, 13214])).
% 8.43/6.01 tff(13290,plain,
% 8.43/6.01 (((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)))),
% 8.43/6.01 inference(rewrite,[status(thm)],[])).
% 8.43/6.01 tff(13291,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | ((~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13292,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v127(constB41, B) <=> v130(constB41, B)))) | (~less_3(bitIndex1)) | (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1))),
% 8.43/6.01 inference(modus_ponens,[status(thm)],[13291, 13290])).
% 8.43/6.01 tff(13293,plain,
% 8.43/6.01 (v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13292, 375, 13222])).
% 8.43/6.01 tff(13294,plain,
% 8.43/6.01 (((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b011(bitIndex1)))),
% 8.43/6.01 inference(rewrite,[status(thm)],[])).
% 8.43/6.01 tff(13295,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b011(bitIndex1)))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13296,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v130(constB41, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB41, bitIndex1) <=> b011(bitIndex1))),
% 8.43/6.01 inference(modus_ponens,[status(thm)],[13295, 13294])).
% 8.43/6.01 tff(13297,plain,
% 8.43/6.01 (v130(constB41, bitIndex1) <=> b011(bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13296, 375, 13231])).
% 8.43/6.01 tff(13298,plain,
% 8.43/6.01 ((~(v130(constB41, bitIndex1) <=> b011(bitIndex1))) | v130(constB41, bitIndex1) | (~b011(bitIndex1))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13299,plain,
% 8.43/6.01 ((~(v130(constB41, bitIndex1) <=> b011(bitIndex1))) | v130(constB41, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13298, 10287])).
% 8.43/6.01 tff(13300,plain,
% 8.43/6.01 (v130(constB41, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13299, 13297])).
% 8.43/6.01 tff(13301,plain,
% 8.43/6.01 ((~(v127(constB41, bitIndex1) <=> v130(constB41, bitIndex1))) | v127(constB41, bitIndex1) | (~v130(constB41, bitIndex1))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13302,plain,
% 8.43/6.01 (v127(constB41, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13301, 13300, 13293])).
% 8.43/6.01 tff(13303,plain,
% 8.43/6.01 ((~(v129(constB42, bitIndex1) <=> v127(constB41, bitIndex1))) | v129(constB42, bitIndex1) | (~v127(constB41, bitIndex1))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13304,plain,
% 8.43/6.01 (v129(constB42, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13303, 13302, 13289])).
% 8.43/6.01 tff(13305,plain,
% 8.43/6.01 ((~(v90(constB42, bitIndex1) <=> v129(constB42, bitIndex1))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13306,plain,
% 8.43/6.01 (v90(constB42, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13305, 13304, 13285])).
% 8.43/6.01 tff(13307,plain,
% 8.43/6.01 ((~(v90(constB43, bitIndex1) <=> v90(constB42, bitIndex1))) | v90(constB43, bitIndex1) | (~v90(constB42, bitIndex1))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13308,plain,
% 8.43/6.01 (v90(constB43, bitIndex1)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13307, 13306, 13281])).
% 8.43/6.01 tff(13309,plain,
% 8.43/6.01 ((~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))) | v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13310,plain,
% 8.43/6.01 (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13309, 13308, 13277, 13246])).
% 8.43/6.01 tff(13311,plain,
% 8.43/6.01 ((~(v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))) | v122(constB43) | (v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13312,plain,
% 8.43/6.01 (v122(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13311, 13310, 7669])).
% 8.43/6.01 tff(13313,plain,
% 8.43/6.01 ((v117(constB43) | v122(constB43)) | (~v122(constB43))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13314,plain,
% 8.43/6.01 (v117(constB43) | v122(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13313, 13312])).
% 8.43/6.01 tff(13315,plain,
% 8.43/6.01 ((~(v116(constB43) <=> (v117(constB43) | v122(constB43)))) | v116(constB43) | (~(v117(constB43) | v122(constB43)))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13316,plain,
% 8.43/6.01 (v116(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13315, 13314, 7662])).
% 8.43/6.01 tff(13317,plain,
% 8.43/6.01 ((v116(constB43) | v123(constB43)) | (~v116(constB43))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13318,plain,
% 8.43/6.01 (v116(constB43) | v123(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13317, 13316])).
% 8.43/6.01 tff(13319,plain,
% 8.43/6.01 ((~(v115(constB43) <=> (v116(constB43) | v123(constB43)))) | v115(constB43) | (~(v116(constB43) | v123(constB43)))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13320,plain,
% 8.43/6.01 (v115(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13319, 13318, 7660])).
% 8.43/6.01 tff(13321,plain,
% 8.43/6.01 ((v115(constB43) | v124(constB43)) | (~v115(constB43))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13322,plain,
% 8.43/6.01 (v115(constB43) | v124(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13321, 13320])).
% 8.43/6.01 tff(13323,plain,
% 8.43/6.01 ((~(v114(constB43) <=> (v115(constB43) | v124(constB43)))) | v114(constB43) | (~(v115(constB43) | v124(constB43)))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13324,plain,
% 8.43/6.01 (v114(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13323, 13322, 7658])).
% 8.43/6.01 tff(13325,plain,
% 8.43/6.01 ((v114(constB43) | v125(constB43)) | (~v114(constB43))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13326,plain,
% 8.43/6.01 (v114(constB43) | v125(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13325, 13324])).
% 8.43/6.01 tff(13327,plain,
% 8.43/6.01 ((~(v113(constB43) <=> (v114(constB43) | v125(constB43)))) | v113(constB43) | (~(v114(constB43) | v125(constB43)))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13328,plain,
% 8.43/6.01 (v113(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13327, 13326, 7656])).
% 8.43/6.01 tff(13329,plain,
% 8.43/6.01 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB43)) <=> v111(constB43))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13330,plain,
% 8.43/6.01 ((~v126(constB43)) <=> v111(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13329, 9720])).
% 8.43/6.01 tff(13331,plain,
% 8.43/6.01 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB43) <=> v26(constB43))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13332,plain,
% 8.43/6.01 (v111(constB43) <=> v26(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13331, 9732])).
% 8.43/6.01 tff(13333,plain,
% 8.43/6.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13334,plain,
% 8.43/6.01 (~v26(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13333, 9744])).
% 8.43/6.01 tff(13335,plain,
% 8.43/6.01 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43)) | v26(constB43)),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13336,plain,
% 8.43/6.01 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43))),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13335, 13334])).
% 8.43/6.01 tff(13337,plain,
% 8.43/6.01 (~v111(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13336, 13332])).
% 8.43/6.01 tff(13338,plain,
% 8.43/6.01 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43) | v111(constB43)),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13339,plain,
% 8.43/6.01 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13338, 13337])).
% 8.43/6.01 tff(13340,plain,
% 8.43/6.01 (v126(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13339, 13330])).
% 8.43/6.01 tff(13341,plain,
% 8.43/6.01 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43)) | (~v126(constB43))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13342,plain,
% 8.43/6.01 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43))),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13341, 13340])).
% 8.43/6.01 tff(13343,plain,
% 8.43/6.01 (~((~v113(constB43)) | (~v126(constB43)))),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13342, 13328])).
% 8.43/6.01 tff(13344,plain,
% 8.43/6.01 ((~(v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))) | v112(constB43) | ((~v113(constB43)) | (~v126(constB43)))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13345,plain,
% 8.43/6.01 (v112(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13344, 13343, 7654])).
% 8.43/6.01 tff(13346,plain,
% 8.43/6.01 ((v111(constB43) | v112(constB43)) | (~v112(constB43))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13347,plain,
% 8.43/6.01 (v111(constB43) | v112(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13346, 13345])).
% 8.43/6.01 tff(13348,plain,
% 8.43/6.01 ((~(v108(constB43) <=> (v111(constB43) | v112(constB43)))) | v108(constB43) | (~(v111(constB43) | v112(constB43)))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13349,plain,
% 8.43/6.01 (v108(constB43)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13348, 13347, 7652])).
% 8.43/6.01 tff(13350,plain,
% 8.43/6.01 ((~(v110(constB44) <=> v108(constB43))) | v110(constB44) | (~v108(constB43))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13351,plain,
% 8.43/6.01 (v110(constB44)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13350, 13349, 7650])).
% 8.43/6.01 tff(13352,plain,
% 8.43/6.01 ((~((~v101(constB44)) | (~v110(constB44)))) | (~v101(constB44)) | (~v110(constB44))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13353,plain,
% 8.43/6.01 (~((~v101(constB44)) | (~v110(constB44)))),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13352, 13351, 7646])).
% 8.43/6.01 tff(13354,plain,
% 8.43/6.01 ((~(v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))) | v100(constB44) | ((~v101(constB44)) | (~v110(constB44)))),
% 8.43/6.01 inference(tautology,[status(thm)],[])).
% 8.43/6.01 tff(13355,plain,
% 8.43/6.01 (v100(constB44)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13354, 13353, 7615])).
% 8.43/6.01 tff(13356,plain,
% 8.43/6.01 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B))))),
% 8.43/6.01 inference(rewrite,[status(thm)],[])).
% 8.43/6.01 tff(13357,plain,
% 8.43/6.01 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B))))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13358,plain,
% 8.43/6.01 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))),
% 8.43/6.01 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 8.43/6.01 tff(13359,plain,
% 8.43/6.01 ((~v100(constB44)) | ![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13358, 9780])).
% 8.43/6.01 tff(13360,plain,
% 8.43/6.01 (![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13359, 13355])).
% 8.43/6.01 tff(13361,plain,
% 8.43/6.01 (((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)))),
% 8.43/6.01 inference(rewrite,[status(thm)],[])).
% 8.43/6.01 tff(13362,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)))),
% 8.43/6.01 inference(quant_inst,[status(thm)],[])).
% 8.43/6.01 tff(13363,plain,
% 8.43/6.01 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex2)) | (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2))),
% 8.43/6.01 inference(modus_ponens,[status(thm)],[13362, 13361])).
% 8.43/6.01 tff(13364,plain,
% 8.43/6.01 (v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2)),
% 8.43/6.01 inference(unit_resolution,[status(thm)],[13363, 648, 13360])).
% 8.43/6.01 tff(13365,plain,
% 8.43/6.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B))))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13366,plain,
% 8.43/6.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B))))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13367,plain,
% 8.43/6.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13366, 13365])).
% 8.43/6.02 tff(13368,plain,
% 8.43/6.02 (![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13367, 7611, 9802])).
% 8.43/6.02 tff(13369,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13370,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13371,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex2)) | (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13370, 13369])).
% 8.43/6.02 tff(13372,plain,
% 8.43/6.02 (v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13371, 648, 13368])).
% 8.43/6.02 tff(13373,plain,
% 8.43/6.02 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB43) | ![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB43) | ![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B))))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13374,plain,
% 8.43/6.02 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB43) | ![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B))))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13375,plain,
% 8.43/6.02 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB43) | ![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13374, 13373])).
% 8.43/6.02 tff(13376,plain,
% 8.43/6.02 (![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13375, 9823, 13337])).
% 8.43/6.02 tff(13377,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13378,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13379,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex2)) | (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13378, 13377])).
% 8.43/6.02 tff(13380,plain,
% 8.43/6.02 (v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13379, 648, 13376])).
% 8.43/6.02 tff(13381,plain,
% 8.43/6.02 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B))))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13382,plain,
% 8.43/6.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B))))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13383,plain,
% 8.43/6.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 8.43/6.02 tff(13384,plain,
% 8.43/6.02 ((~v122(constB43)) | ![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13383, 10383])).
% 8.43/6.02 tff(13385,plain,
% 8.43/6.02 (![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13384, 13312])).
% 8.43/6.02 tff(13386,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b100(bitIndex2)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13387,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b100(bitIndex2)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13388,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB43, bitIndex2) <=> b100(bitIndex2))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13387, 13386])).
% 8.43/6.02 tff(13389,plain,
% 8.43/6.02 (v130(constB43, bitIndex2) <=> b100(bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13388, 648, 13385])).
% 8.43/6.02 tff(13390,plain,
% 8.43/6.02 ((~(v130(constB43, bitIndex2) <=> b100(bitIndex2))) | v130(constB43, bitIndex2) | (~b100(bitIndex2))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13391,plain,
% 8.43/6.02 ((~(v130(constB43, bitIndex2) <=> b100(bitIndex2))) | v130(constB43, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13390, 10395])).
% 8.43/6.02 tff(13392,plain,
% 8.43/6.02 (v130(constB43, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13391, 13389])).
% 8.43/6.02 tff(13393,plain,
% 8.43/6.02 ((~(v127(constB43, bitIndex2) <=> v130(constB43, bitIndex2))) | v127(constB43, bitIndex2) | (~v130(constB43, bitIndex2))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13394,plain,
% 8.43/6.02 (v127(constB43, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13393, 13392, 13380])).
% 8.43/6.02 tff(13395,plain,
% 8.43/6.02 ((~(v129(constB44, bitIndex2) <=> v127(constB43, bitIndex2))) | v129(constB44, bitIndex2) | (~v127(constB43, bitIndex2))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13396,plain,
% 8.43/6.02 (v129(constB44, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13395, 13394, 13372])).
% 8.43/6.02 tff(13397,plain,
% 8.43/6.02 ((~(v90(constB44, bitIndex2) <=> v129(constB44, bitIndex2))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13398,plain,
% 8.43/6.02 (v90(constB44, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13397, 13396, 13364])).
% 8.43/6.02 tff(13399,plain,
% 8.43/6.02 ((~(v90(constB45, bitIndex2) <=> v90(constB44, bitIndex2))) | v90(constB45, bitIndex2) | (~v90(constB44, bitIndex2))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13400,plain,
% 8.43/6.02 (v90(constB45, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13399, 13398, 7608])).
% 8.43/6.02 tff(13401,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13402,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13403,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13402, 13401])).
% 8.43/6.02 tff(13404,plain,
% 8.43/6.02 (v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13403, 9653, 7604])).
% 8.43/6.02 tff(13405,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13406,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13407,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex0)) | (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13406, 13405])).
% 8.43/6.02 tff(13408,plain,
% 8.43/6.02 (v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13407, 9653, 13360])).
% 8.43/6.02 tff(13409,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13410,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13411,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex0)) | (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13410, 13409])).
% 8.43/6.02 tff(13412,plain,
% 8.43/6.02 (v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13411, 9653, 13368])).
% 8.43/6.02 tff(13413,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13414,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13415,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex0)) | (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13414, 13413])).
% 8.43/6.02 tff(13416,plain,
% 8.43/6.02 (v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13415, 9653, 13376])).
% 8.43/6.02 tff(13417,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b100(bitIndex0)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13418,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b100(bitIndex0)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13419,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB43, bitIndex0) <=> b100(bitIndex0))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13418, 13417])).
% 8.43/6.02 tff(13420,plain,
% 8.43/6.02 (v130(constB43, bitIndex0) <=> b100(bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13419, 9653, 13385])).
% 8.43/6.02 tff(13421,plain,
% 8.43/6.02 ((~(v130(constB43, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB43, bitIndex0)) | b100(bitIndex0)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13422,plain,
% 8.43/6.02 ((~(v130(constB43, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB43, bitIndex0))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13421, 10429])).
% 8.43/6.02 tff(13423,plain,
% 8.43/6.02 (~v130(constB43, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13422, 13420])).
% 8.43/6.02 tff(13424,plain,
% 8.43/6.02 ((~(v127(constB43, bitIndex0) <=> v130(constB43, bitIndex0))) | (~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13425,plain,
% 8.43/6.02 (~v127(constB43, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13424, 13423, 13416])).
% 8.43/6.02 tff(13426,plain,
% 8.43/6.02 ((~(v129(constB44, bitIndex0) <=> v127(constB43, bitIndex0))) | (~v129(constB44, bitIndex0)) | v127(constB43, bitIndex0)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13427,plain,
% 8.43/6.02 (~v129(constB44, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13426, 13425, 13412])).
% 8.43/6.02 tff(13428,plain,
% 8.43/6.02 ((~(v90(constB44, bitIndex0) <=> v129(constB44, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13429,plain,
% 8.43/6.02 (~v90(constB44, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13428, 13427, 13408])).
% 8.43/6.02 tff(13430,plain,
% 8.43/6.02 ((~(v90(constB45, bitIndex0) <=> v90(constB44, bitIndex0))) | (~v90(constB45, bitIndex0)) | v90(constB44, bitIndex0)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13431,plain,
% 8.43/6.02 (~v90(constB45, bitIndex0)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13430, 13429, 13404])).
% 8.43/6.02 tff(13432,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13433,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13434,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB45, B) <=> v90(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13433, 13432])).
% 8.43/6.02 tff(13435,plain,
% 8.43/6.02 (v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13434, 375, 7604])).
% 8.43/6.02 tff(13436,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13437,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | ((~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13438,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB44, B) <=> v129(constB44, B)))) | (~less_3(bitIndex1)) | (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13437, 13436])).
% 8.43/6.02 tff(13439,plain,
% 8.43/6.02 (v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13438, 375, 13360])).
% 8.43/6.02 tff(13440,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13441,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | ((~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13442,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB44, B) <=> v127(constB43, B)))) | (~less_3(bitIndex1)) | (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13441, 13440])).
% 8.43/6.02 tff(13443,plain,
% 8.43/6.02 (v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13442, 375, 13368])).
% 8.43/6.02 tff(13444,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13445,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | ((~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13446,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB43, B) <=> v130(constB43, B)))) | (~less_3(bitIndex1)) | (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13445, 13444])).
% 8.43/6.02 tff(13447,plain,
% 8.43/6.02 (v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13446, 375, 13376])).
% 8.43/6.02 tff(13448,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b100(bitIndex1)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13449,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b100(bitIndex1)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13450,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB43, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB43, bitIndex1) <=> b100(bitIndex1))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13449, 13448])).
% 8.43/6.02 tff(13451,plain,
% 8.43/6.02 (v130(constB43, bitIndex1) <=> b100(bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13450, 375, 13385])).
% 8.43/6.02 tff(13452,plain,
% 8.43/6.02 ((~(v130(constB43, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB43, bitIndex1)) | b100(bitIndex1)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13453,plain,
% 8.43/6.02 ((~(v130(constB43, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB43, bitIndex1))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13452, 10463])).
% 8.43/6.02 tff(13454,plain,
% 8.43/6.02 (~v130(constB43, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13453, 13451])).
% 8.43/6.02 tff(13455,plain,
% 8.43/6.02 ((~(v127(constB43, bitIndex1) <=> v130(constB43, bitIndex1))) | (~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13456,plain,
% 8.43/6.02 (~v127(constB43, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13455, 13454, 13447])).
% 8.43/6.02 tff(13457,plain,
% 8.43/6.02 ((~(v129(constB44, bitIndex1) <=> v127(constB43, bitIndex1))) | (~v129(constB44, bitIndex1)) | v127(constB43, bitIndex1)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13458,plain,
% 8.43/6.02 (~v129(constB44, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13457, 13456, 13443])).
% 8.43/6.02 tff(13459,plain,
% 8.43/6.02 ((~(v90(constB44, bitIndex1) <=> v129(constB44, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13460,plain,
% 8.43/6.02 (~v90(constB44, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13459, 13458, 13439])).
% 8.43/6.02 tff(13461,plain,
% 8.43/6.02 ((~(v90(constB45, bitIndex1) <=> v90(constB44, bitIndex1))) | (~v90(constB45, bitIndex1)) | v90(constB44, bitIndex1)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13462,plain,
% 8.43/6.02 (~v90(constB45, bitIndex1)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13461, 13460, 13435])).
% 8.43/6.02 tff(13463,plain,
% 8.43/6.02 ((~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13464,plain,
% 8.43/6.02 (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13463, 13462, 13431, 13400])).
% 8.43/6.02 tff(13465,plain,
% 8.43/6.02 ((~(v123(constB45) <=> (~((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))))) | v123(constB45) | ((~v90(constB45, bitIndex2)) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13466,plain,
% 8.43/6.02 (v123(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13465, 13464, 7576])).
% 8.43/6.02 tff(13467,plain,
% 8.43/6.02 ((v116(constB45) | v123(constB45)) | (~v123(constB45))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13468,plain,
% 8.43/6.02 (v116(constB45) | v123(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13467, 13466])).
% 8.43/6.02 tff(13469,plain,
% 8.43/6.02 ((~(v115(constB45) <=> (v116(constB45) | v123(constB45)))) | v115(constB45) | (~(v116(constB45) | v123(constB45)))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13470,plain,
% 8.43/6.02 (v115(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13469, 13468, 7569])).
% 8.43/6.02 tff(13471,plain,
% 8.43/6.02 ((v115(constB45) | v124(constB45)) | (~v115(constB45))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13472,plain,
% 8.43/6.02 (v115(constB45) | v124(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13471, 13470])).
% 8.43/6.02 tff(13473,plain,
% 8.43/6.02 ((~(v114(constB45) <=> (v115(constB45) | v124(constB45)))) | v114(constB45) | (~(v115(constB45) | v124(constB45)))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13474,plain,
% 8.43/6.02 (v114(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13473, 13472, 7567])).
% 8.43/6.02 tff(13475,plain,
% 8.43/6.02 ((v114(constB45) | v125(constB45)) | (~v114(constB45))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13476,plain,
% 8.43/6.02 (v114(constB45) | v125(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13475, 13474])).
% 8.43/6.02 tff(13477,plain,
% 8.43/6.02 ((~(v113(constB45) <=> (v114(constB45) | v125(constB45)))) | v113(constB45) | (~(v114(constB45) | v125(constB45)))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13478,plain,
% 8.43/6.02 (v113(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13477, 13476, 7565])).
% 8.43/6.02 tff(13479,plain,
% 8.43/6.02 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB45)) <=> v111(constB45))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13480,plain,
% 8.43/6.02 ((~v126(constB45)) <=> v111(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13479, 9720])).
% 8.43/6.02 tff(13481,plain,
% 8.43/6.02 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB45) <=> v26(constB45))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13482,plain,
% 8.43/6.02 (v111(constB45) <=> v26(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13481, 9732])).
% 8.43/6.02 tff(13483,plain,
% 8.43/6.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13484,plain,
% 8.43/6.02 (~v26(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13483, 9744])).
% 8.43/6.02 tff(13485,plain,
% 8.43/6.02 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45)) | v26(constB45)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13486,plain,
% 8.43/6.02 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13485, 13484])).
% 8.43/6.02 tff(13487,plain,
% 8.43/6.02 (~v111(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13486, 13482])).
% 8.43/6.02 tff(13488,plain,
% 8.43/6.02 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45) | v111(constB45)),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13489,plain,
% 8.43/6.02 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13488, 13487])).
% 8.43/6.02 tff(13490,plain,
% 8.43/6.02 (v126(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13489, 13480])).
% 8.43/6.02 tff(13491,plain,
% 8.43/6.02 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45)) | (~v126(constB45))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13492,plain,
% 8.43/6.02 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13491, 13490])).
% 8.43/6.02 tff(13493,plain,
% 8.43/6.02 (~((~v113(constB45)) | (~v126(constB45)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13492, 13478])).
% 8.43/6.02 tff(13494,plain,
% 8.43/6.02 ((~(v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))) | v112(constB45) | ((~v113(constB45)) | (~v126(constB45)))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13495,plain,
% 8.43/6.02 (v112(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13494, 13493, 7563])).
% 8.43/6.02 tff(13496,plain,
% 8.43/6.02 ((v111(constB45) | v112(constB45)) | (~v112(constB45))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13497,plain,
% 8.43/6.02 (v111(constB45) | v112(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13496, 13495])).
% 8.43/6.02 tff(13498,plain,
% 8.43/6.02 ((~(v108(constB45) <=> (v111(constB45) | v112(constB45)))) | v108(constB45) | (~(v111(constB45) | v112(constB45)))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13499,plain,
% 8.43/6.02 (v108(constB45)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13498, 13497, 7561])).
% 8.43/6.02 tff(13500,plain,
% 8.43/6.02 ((~(v110(constB46) <=> v108(constB45))) | v110(constB46) | (~v108(constB45))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13501,plain,
% 8.43/6.02 (v110(constB46)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13500, 13499, 7559])).
% 8.43/6.02 tff(13502,plain,
% 8.43/6.02 ((~((~v101(constB46)) | (~v110(constB46)))) | (~v101(constB46)) | (~v110(constB46))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13503,plain,
% 8.43/6.02 (~((~v101(constB46)) | (~v110(constB46)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13502, 13501, 7555])).
% 8.43/6.02 tff(13504,plain,
% 8.43/6.02 ((~(v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))) | v100(constB46) | ((~v101(constB46)) | (~v110(constB46)))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13505,plain,
% 8.43/6.02 (v100(constB46)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13504, 13503, 7524])).
% 8.43/6.02 tff(13506,plain,
% 8.43/6.02 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B))))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13507,plain,
% 8.43/6.02 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B))))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13508,plain,
% 8.43/6.02 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 8.43/6.02 tff(13509,plain,
% 8.43/6.02 ((~v100(constB46)) | ![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13508, 9780])).
% 8.43/6.02 tff(13510,plain,
% 8.43/6.02 (![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13509, 13505])).
% 8.43/6.02 tff(13511,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13512,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13513,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex2)) | (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13512, 13511])).
% 8.43/6.02 tff(13514,plain,
% 8.43/6.02 (v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13513, 648, 13510])).
% 8.43/6.02 tff(13515,plain,
% 8.43/6.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B))))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13516,plain,
% 8.43/6.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B))))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13517,plain,
% 8.43/6.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13516, 13515])).
% 8.43/6.02 tff(13518,plain,
% 8.43/6.02 (![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13517, 7520, 9802])).
% 8.43/6.02 tff(13519,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13520,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13521,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex2)) | (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13520, 13519])).
% 8.43/6.02 tff(13522,plain,
% 8.43/6.02 (v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13521, 648, 13518])).
% 8.43/6.02 tff(13523,plain,
% 8.43/6.02 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB45) | ![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB45) | ![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B))))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13524,plain,
% 8.43/6.02 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB45) | ![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B))))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13525,plain,
% 8.43/6.02 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB45) | ![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13524, 13523])).
% 8.43/6.02 tff(13526,plain,
% 8.43/6.02 (![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13525, 9823, 13487])).
% 8.43/6.02 tff(13527,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13528,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13529,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex2)) | (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13528, 13527])).
% 8.43/6.02 tff(13530,plain,
% 8.43/6.02 (v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13529, 648, 13526])).
% 8.43/6.02 tff(13531,plain,
% 8.43/6.02 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB45)) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB45)) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B))))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13532,plain,
% 8.43/6.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB45)) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B))))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13533,plain,
% 8.43/6.02 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB45)) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13532, 13531])).
% 8.43/6.02 tff(13534,plain,
% 8.43/6.02 ((~v123(constB45)) | ![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13533, 10555])).
% 8.43/6.02 tff(13535,plain,
% 8.43/6.02 (![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13534, 13466])).
% 8.43/6.02 tff(13536,plain,
% 8.43/6.02 (((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b101(bitIndex2)))),
% 8.43/6.02 inference(rewrite,[status(thm)],[])).
% 8.43/6.02 tff(13537,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b101(bitIndex2)))),
% 8.43/6.02 inference(quant_inst,[status(thm)],[])).
% 8.43/6.02 tff(13538,plain,
% 8.43/6.02 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB45, bitIndex2) <=> b101(bitIndex2))),
% 8.43/6.02 inference(modus_ponens,[status(thm)],[13537, 13536])).
% 8.43/6.02 tff(13539,plain,
% 8.43/6.02 (v130(constB45, bitIndex2) <=> b101(bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13538, 648, 13535])).
% 8.43/6.02 tff(13540,plain,
% 8.43/6.02 ((~(v130(constB45, bitIndex2) <=> b101(bitIndex2))) | v130(constB45, bitIndex2) | (~b101(bitIndex2))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.02 tff(13541,plain,
% 8.43/6.02 ((~(v130(constB45, bitIndex2) <=> b101(bitIndex2))) | v130(constB45, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13540, 10567])).
% 8.43/6.02 tff(13542,plain,
% 8.43/6.02 (v130(constB45, bitIndex2)),
% 8.43/6.02 inference(unit_resolution,[status(thm)],[13541, 13539])).
% 8.43/6.02 tff(13543,plain,
% 8.43/6.02 ((~(v127(constB45, bitIndex2) <=> v130(constB45, bitIndex2))) | v127(constB45, bitIndex2) | (~v130(constB45, bitIndex2))),
% 8.43/6.02 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13544,plain,
% 8.43/6.03 (v127(constB45, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13543, 13542, 13530])).
% 8.43/6.03 tff(13545,plain,
% 8.43/6.03 ((~(v129(constB46, bitIndex2) <=> v127(constB45, bitIndex2))) | v129(constB46, bitIndex2) | (~v127(constB45, bitIndex2))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13546,plain,
% 8.43/6.03 (v129(constB46, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13545, 13544, 13522])).
% 8.43/6.03 tff(13547,plain,
% 8.43/6.03 ((~(v90(constB46, bitIndex2) <=> v129(constB46, bitIndex2))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13548,plain,
% 8.43/6.03 (v90(constB46, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13547, 13546, 13514])).
% 8.43/6.03 tff(13549,plain,
% 8.43/6.03 ((~(v90(constB47, bitIndex2) <=> v90(constB46, bitIndex2))) | v90(constB47, bitIndex2) | (~v90(constB46, bitIndex2))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13550,plain,
% 8.43/6.03 (v90(constB47, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13549, 13548, 7517])).
% 8.43/6.03 tff(13551,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13552,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13553,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 8.43/6.03 tff(13554,plain,
% 8.43/6.03 (v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13553, 9653, 7513])).
% 8.43/6.03 tff(13555,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13556,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13557,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex0)) | (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 8.43/6.03 tff(13558,plain,
% 8.43/6.03 (v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13557, 9653, 13510])).
% 8.43/6.03 tff(13559,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13560,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13561,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex0)) | (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13560, 13559])).
% 8.43/6.03 tff(13562,plain,
% 8.43/6.03 (v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13561, 9653, 13518])).
% 8.43/6.03 tff(13563,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13564,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13565,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex0)) | (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13564, 13563])).
% 8.43/6.03 tff(13566,plain,
% 8.43/6.03 (v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13565, 9653, 13526])).
% 8.43/6.03 tff(13567,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b101(bitIndex0)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13568,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b101(bitIndex0)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13569,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB45, bitIndex0) <=> b101(bitIndex0))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13568, 13567])).
% 8.43/6.03 tff(13570,plain,
% 8.43/6.03 (v130(constB45, bitIndex0) <=> b101(bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13569, 9653, 13535])).
% 8.43/6.03 tff(13571,plain,
% 8.43/6.03 ((~(v130(constB45, bitIndex0) <=> b101(bitIndex0))) | v130(constB45, bitIndex0) | (~b101(bitIndex0))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13572,plain,
% 8.43/6.03 ((~(v130(constB45, bitIndex0) <=> b101(bitIndex0))) | v130(constB45, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13571, 10601])).
% 8.43/6.03 tff(13573,plain,
% 8.43/6.03 (v130(constB45, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13572, 13570])).
% 8.43/6.03 tff(13574,plain,
% 8.43/6.03 ((~(v127(constB45, bitIndex0) <=> v130(constB45, bitIndex0))) | v127(constB45, bitIndex0) | (~v130(constB45, bitIndex0))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13575,plain,
% 8.43/6.03 (v127(constB45, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13574, 13573, 13566])).
% 8.43/6.03 tff(13576,plain,
% 8.43/6.03 ((~(v129(constB46, bitIndex0) <=> v127(constB45, bitIndex0))) | v129(constB46, bitIndex0) | (~v127(constB45, bitIndex0))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13577,plain,
% 8.43/6.03 (v129(constB46, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13576, 13575, 13562])).
% 8.43/6.03 tff(13578,plain,
% 8.43/6.03 ((~(v90(constB46, bitIndex0) <=> v129(constB46, bitIndex0))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13579,plain,
% 8.43/6.03 (v90(constB46, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13578, 13577, 13558])).
% 8.43/6.03 tff(13580,plain,
% 8.43/6.03 ((~(v90(constB47, bitIndex0) <=> v90(constB46, bitIndex0))) | v90(constB47, bitIndex0) | (~v90(constB46, bitIndex0))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13581,plain,
% 8.43/6.03 (v90(constB47, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13580, 13579, 13554])).
% 8.43/6.03 tff(13582,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13583,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13584,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB47, B) <=> v90(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 8.43/6.03 tff(13585,plain,
% 8.43/6.03 (v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13584, 375, 7513])).
% 8.43/6.03 tff(13586,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13587,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | ((~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13588,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB46, B) <=> v129(constB46, B)))) | (~less_3(bitIndex1)) | (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13587, 13586])).
% 8.43/6.03 tff(13589,plain,
% 8.43/6.03 (v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13588, 375, 13510])).
% 8.43/6.03 tff(13590,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13591,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | ((~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13592,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB46, B) <=> v127(constB45, B)))) | (~less_3(bitIndex1)) | (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13591, 13590])).
% 8.43/6.03 tff(13593,plain,
% 8.43/6.03 (v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13592, 375, 13518])).
% 8.43/6.03 tff(13594,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13595,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | ((~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13596,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB45, B) <=> v130(constB45, B)))) | (~less_3(bitIndex1)) | (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13595, 13594])).
% 8.43/6.03 tff(13597,plain,
% 8.43/6.03 (v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13596, 375, 13526])).
% 8.43/6.03 tff(13598,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b101(bitIndex1)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13599,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b101(bitIndex1)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13600,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB45, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB45, bitIndex1) <=> b101(bitIndex1))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13599, 13598])).
% 8.43/6.03 tff(13601,plain,
% 8.43/6.03 (v130(constB45, bitIndex1) <=> b101(bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13600, 375, 13535])).
% 8.43/6.03 tff(13602,plain,
% 8.43/6.03 ((~(v130(constB45, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB45, bitIndex1)) | b101(bitIndex1)),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13603,plain,
% 8.43/6.03 ((~(v130(constB45, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB45, bitIndex1))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13602, 10635])).
% 8.43/6.03 tff(13604,plain,
% 8.43/6.03 (~v130(constB45, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13603, 13601])).
% 8.43/6.03 tff(13605,plain,
% 8.43/6.03 ((~(v127(constB45, bitIndex1) <=> v130(constB45, bitIndex1))) | (~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13606,plain,
% 8.43/6.03 (~v127(constB45, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13605, 13604, 13597])).
% 8.43/6.03 tff(13607,plain,
% 8.43/6.03 ((~(v129(constB46, bitIndex1) <=> v127(constB45, bitIndex1))) | (~v129(constB46, bitIndex1)) | v127(constB45, bitIndex1)),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13608,plain,
% 8.43/6.03 (~v129(constB46, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13607, 13606, 13593])).
% 8.43/6.03 tff(13609,plain,
% 8.43/6.03 ((~(v90(constB46, bitIndex1) <=> v129(constB46, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1)),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13610,plain,
% 8.43/6.03 (~v90(constB46, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13609, 13608, 13589])).
% 8.43/6.03 tff(13611,plain,
% 8.43/6.03 ((~(v90(constB47, bitIndex1) <=> v90(constB46, bitIndex1))) | (~v90(constB47, bitIndex1)) | v90(constB46, bitIndex1)),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13612,plain,
% 8.43/6.03 (~v90(constB47, bitIndex1)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13611, 13610, 13585])).
% 8.43/6.03 tff(13613,plain,
% 8.43/6.03 ((~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))) | (~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13614,plain,
% 8.43/6.03 (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13613, 13612, 13581, 13550])).
% 8.43/6.03 tff(13615,plain,
% 8.43/6.03 ((~(v124(constB47) <=> (~((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))))) | v124(constB47) | ((~v90(constB47, bitIndex2)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13616,plain,
% 8.43/6.03 (v124(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13615, 13614, 7485])).
% 8.43/6.03 tff(13617,plain,
% 8.43/6.03 ((v115(constB47) | v124(constB47)) | (~v124(constB47))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13618,plain,
% 8.43/6.03 (v115(constB47) | v124(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13617, 13616])).
% 8.43/6.03 tff(13619,plain,
% 8.43/6.03 ((~(v114(constB47) <=> (v115(constB47) | v124(constB47)))) | v114(constB47) | (~(v115(constB47) | v124(constB47)))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13620,plain,
% 8.43/6.03 (v114(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13619, 13618, 7478])).
% 8.43/6.03 tff(13621,plain,
% 8.43/6.03 ((v114(constB47) | v125(constB47)) | (~v114(constB47))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13622,plain,
% 8.43/6.03 (v114(constB47) | v125(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13621, 13620])).
% 8.43/6.03 tff(13623,plain,
% 8.43/6.03 ((~(v113(constB47) <=> (v114(constB47) | v125(constB47)))) | v113(constB47) | (~(v114(constB47) | v125(constB47)))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13624,plain,
% 8.43/6.03 (v113(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13623, 13622, 7476])).
% 8.43/6.03 tff(13625,plain,
% 8.43/6.03 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB47)) <=> v111(constB47))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13626,plain,
% 8.43/6.03 ((~v126(constB47)) <=> v111(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13625, 9720])).
% 8.43/6.03 tff(13627,plain,
% 8.43/6.03 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB47) <=> v26(constB47))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13628,plain,
% 8.43/6.03 (v111(constB47) <=> v26(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13627, 9732])).
% 8.43/6.03 tff(13629,plain,
% 8.43/6.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13630,plain,
% 8.43/6.03 (~v26(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13629, 9744])).
% 8.43/6.03 tff(13631,plain,
% 8.43/6.03 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47)) | v26(constB47)),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13632,plain,
% 8.43/6.03 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13631, 13630])).
% 8.43/6.03 tff(13633,plain,
% 8.43/6.03 (~v111(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13632, 13628])).
% 8.43/6.03 tff(13634,plain,
% 8.43/6.03 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47) | v111(constB47)),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13635,plain,
% 8.43/6.03 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13634, 13633])).
% 8.43/6.03 tff(13636,plain,
% 8.43/6.03 (v126(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13635, 13626])).
% 8.43/6.03 tff(13637,plain,
% 8.43/6.03 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47)) | (~v126(constB47))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13638,plain,
% 8.43/6.03 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13637, 13636])).
% 8.43/6.03 tff(13639,plain,
% 8.43/6.03 (~((~v113(constB47)) | (~v126(constB47)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13638, 13624])).
% 8.43/6.03 tff(13640,plain,
% 8.43/6.03 ((~(v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))) | v112(constB47) | ((~v113(constB47)) | (~v126(constB47)))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13641,plain,
% 8.43/6.03 (v112(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13640, 13639, 7474])).
% 8.43/6.03 tff(13642,plain,
% 8.43/6.03 ((v111(constB47) | v112(constB47)) | (~v112(constB47))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13643,plain,
% 8.43/6.03 (v111(constB47) | v112(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13642, 13641])).
% 8.43/6.03 tff(13644,plain,
% 8.43/6.03 ((~(v108(constB47) <=> (v111(constB47) | v112(constB47)))) | v108(constB47) | (~(v111(constB47) | v112(constB47)))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13645,plain,
% 8.43/6.03 (v108(constB47)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13644, 13643, 7472])).
% 8.43/6.03 tff(13646,plain,
% 8.43/6.03 ((~(v110(constB48) <=> v108(constB47))) | v110(constB48) | (~v108(constB47))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13647,plain,
% 8.43/6.03 (v110(constB48)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13646, 13645, 7470])).
% 8.43/6.03 tff(13648,plain,
% 8.43/6.03 ((~((~v101(constB48)) | (~v110(constB48)))) | (~v101(constB48)) | (~v110(constB48))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13649,plain,
% 8.43/6.03 (~((~v101(constB48)) | (~v110(constB48)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13648, 13647, 7466])).
% 8.43/6.03 tff(13650,plain,
% 8.43/6.03 ((~(v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))) | v100(constB48) | ((~v101(constB48)) | (~v110(constB48)))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13651,plain,
% 8.43/6.03 (v100(constB48)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13650, 13649, 7435])).
% 8.43/6.03 tff(13652,plain,
% 8.43/6.03 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B))))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13653,plain,
% 8.43/6.03 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B))))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13654,plain,
% 8.43/6.03 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13653, 13652])).
% 8.43/6.03 tff(13655,plain,
% 8.43/6.03 ((~v100(constB48)) | ![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13654, 9780])).
% 8.43/6.03 tff(13656,plain,
% 8.43/6.03 (![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13655, 13651])).
% 8.43/6.03 tff(13657,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13658,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13659,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex2)) | (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13658, 13657])).
% 8.43/6.03 tff(13660,plain,
% 8.43/6.03 (v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13659, 648, 13656])).
% 8.43/6.03 tff(13661,plain,
% 8.43/6.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B))))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13662,plain,
% 8.43/6.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B))))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13663,plain,
% 8.43/6.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 8.43/6.03 tff(13664,plain,
% 8.43/6.03 (![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13663, 7431, 9802])).
% 8.43/6.03 tff(13665,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13666,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13667,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex2)) | (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13666, 13665])).
% 8.43/6.03 tff(13668,plain,
% 8.43/6.03 (v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13667, 648, 13664])).
% 8.43/6.03 tff(13669,plain,
% 8.43/6.03 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB47) | ![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB47) | ![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B))))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13670,plain,
% 8.43/6.03 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB47) | ![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B))))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13671,plain,
% 8.43/6.03 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB47) | ![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 8.43/6.03 tff(13672,plain,
% 8.43/6.03 (![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13671, 9823, 13633])).
% 8.43/6.03 tff(13673,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13674,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13675,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex2)) | (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13674, 13673])).
% 8.43/6.03 tff(13676,plain,
% 8.43/6.03 (v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13675, 648, 13672])).
% 8.43/6.03 tff(13677,plain,
% 8.43/6.03 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B))))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13678,plain,
% 8.43/6.03 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B))))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13679,plain,
% 8.43/6.03 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13678, 13677])).
% 8.43/6.03 tff(13680,plain,
% 8.43/6.03 ((~v124(constB47)) | ![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13679, 10723])).
% 8.43/6.03 tff(13681,plain,
% 8.43/6.03 (![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13680, 13616])).
% 8.43/6.03 tff(13682,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b110(bitIndex2)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13683,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b110(bitIndex2)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13684,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB47, bitIndex2) <=> b110(bitIndex2))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 8.43/6.03 tff(13685,plain,
% 8.43/6.03 (v130(constB47, bitIndex2) <=> b110(bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13684, 648, 13681])).
% 8.43/6.03 tff(13686,plain,
% 8.43/6.03 ((~(v130(constB47, bitIndex2) <=> b110(bitIndex2))) | v130(constB47, bitIndex2) | (~b110(bitIndex2))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13687,plain,
% 8.43/6.03 ((~(v130(constB47, bitIndex2) <=> b110(bitIndex2))) | v130(constB47, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13686, 10735])).
% 8.43/6.03 tff(13688,plain,
% 8.43/6.03 (v130(constB47, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13687, 13685])).
% 8.43/6.03 tff(13689,plain,
% 8.43/6.03 ((~(v127(constB47, bitIndex2) <=> v130(constB47, bitIndex2))) | v127(constB47, bitIndex2) | (~v130(constB47, bitIndex2))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13690,plain,
% 8.43/6.03 (v127(constB47, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13689, 13688, 13676])).
% 8.43/6.03 tff(13691,plain,
% 8.43/6.03 ((~(v129(constB48, bitIndex2) <=> v127(constB47, bitIndex2))) | v129(constB48, bitIndex2) | (~v127(constB47, bitIndex2))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13692,plain,
% 8.43/6.03 (v129(constB48, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13691, 13690, 13668])).
% 8.43/6.03 tff(13693,plain,
% 8.43/6.03 ((~(v90(constB48, bitIndex2) <=> v129(constB48, bitIndex2))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13694,plain,
% 8.43/6.03 (v90(constB48, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13693, 13692, 13660])).
% 8.43/6.03 tff(13695,plain,
% 8.43/6.03 ((~(v90(constB49, bitIndex2) <=> v90(constB48, bitIndex2))) | v90(constB49, bitIndex2) | (~v90(constB48, bitIndex2))),
% 8.43/6.03 inference(tautology,[status(thm)],[])).
% 8.43/6.03 tff(13696,plain,
% 8.43/6.03 (v90(constB49, bitIndex2)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13695, 13694, 7428])).
% 8.43/6.03 tff(13697,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13698,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13699,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 8.43/6.03 tff(13700,plain,
% 8.43/6.03 (v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13699, 9653, 7424])).
% 8.43/6.03 tff(13701,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.03 tff(13702,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)))),
% 8.43/6.03 inference(quant_inst,[status(thm)],[])).
% 8.43/6.03 tff(13703,plain,
% 8.43/6.03 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex0)) | (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0))),
% 8.43/6.03 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 8.43/6.03 tff(13704,plain,
% 8.43/6.03 (v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0)),
% 8.43/6.03 inference(unit_resolution,[status(thm)],[13703, 9653, 13656])).
% 8.43/6.03 tff(13705,plain,
% 8.43/6.03 (((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)))),
% 8.43/6.03 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13706,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13707,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex0)) | (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13706, 13705])).
% 8.43/6.04 tff(13708,plain,
% 8.43/6.04 (v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13707, 9653, 13664])).
% 8.43/6.04 tff(13709,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13710,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13711,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex0)) | (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 8.43/6.04 tff(13712,plain,
% 8.43/6.04 (v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13711, 9653, 13672])).
% 8.43/6.04 tff(13713,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b110(bitIndex0)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13714,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b110(bitIndex0)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13715,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB47, bitIndex0) <=> b110(bitIndex0))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 8.43/6.04 tff(13716,plain,
% 8.43/6.04 (v130(constB47, bitIndex0) <=> b110(bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13715, 9653, 13681])).
% 8.43/6.04 tff(13717,plain,
% 8.43/6.04 ((~(v130(constB47, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB47, bitIndex0)) | b110(bitIndex0)),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13718,plain,
% 8.43/6.04 ((~(v130(constB47, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB47, bitIndex0))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13717, 10769])).
% 8.43/6.04 tff(13719,plain,
% 8.43/6.04 (~v130(constB47, bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13718, 13716])).
% 8.43/6.04 tff(13720,plain,
% 8.43/6.04 ((~(v127(constB47, bitIndex0) <=> v130(constB47, bitIndex0))) | (~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13721,plain,
% 8.43/6.04 (~v127(constB47, bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13720, 13719, 13712])).
% 8.43/6.04 tff(13722,plain,
% 8.43/6.04 ((~(v129(constB48, bitIndex0) <=> v127(constB47, bitIndex0))) | (~v129(constB48, bitIndex0)) | v127(constB47, bitIndex0)),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13723,plain,
% 8.43/6.04 (~v129(constB48, bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13722, 13721, 13708])).
% 8.43/6.04 tff(13724,plain,
% 8.43/6.04 ((~(v90(constB48, bitIndex0) <=> v129(constB48, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0)),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13725,plain,
% 8.43/6.04 (~v90(constB48, bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13724, 13723, 13704])).
% 8.43/6.04 tff(13726,plain,
% 8.43/6.04 ((~(v90(constB49, bitIndex0) <=> v90(constB48, bitIndex0))) | (~v90(constB49, bitIndex0)) | v90(constB48, bitIndex0)),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13727,plain,
% 8.43/6.04 (~v90(constB49, bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13726, 13725, 13700])).
% 8.43/6.04 tff(13728,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13729,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13730,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB49, B) <=> v90(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13729, 13728])).
% 8.43/6.04 tff(13731,plain,
% 8.43/6.04 (v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13730, 375, 7424])).
% 8.43/6.04 tff(13732,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13733,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | ((~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13734,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB48, B) <=> v129(constB48, B)))) | (~less_3(bitIndex1)) | (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13733, 13732])).
% 8.43/6.04 tff(13735,plain,
% 8.43/6.04 (v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13734, 375, 13656])).
% 8.43/6.04 tff(13736,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13737,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | ((~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13738,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB48, B) <=> v127(constB47, B)))) | (~less_3(bitIndex1)) | (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13737, 13736])).
% 8.43/6.04 tff(13739,plain,
% 8.43/6.04 (v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13738, 375, 13664])).
% 8.43/6.04 tff(13740,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13741,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | ((~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13742,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB47, B) <=> v130(constB47, B)))) | (~less_3(bitIndex1)) | (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13741, 13740])).
% 8.43/6.04 tff(13743,plain,
% 8.43/6.04 (v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13742, 375, 13672])).
% 8.43/6.04 tff(13744,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b110(bitIndex1)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13745,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b110(bitIndex1)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13746,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v130(constB47, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB47, bitIndex1) <=> b110(bitIndex1))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 8.43/6.04 tff(13747,plain,
% 8.43/6.04 (v130(constB47, bitIndex1) <=> b110(bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13746, 375, 13681])).
% 8.43/6.04 tff(13748,plain,
% 8.43/6.04 ((~(v130(constB47, bitIndex1) <=> b110(bitIndex1))) | v130(constB47, bitIndex1) | (~b110(bitIndex1))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13749,plain,
% 8.43/6.04 ((~(v130(constB47, bitIndex1) <=> b110(bitIndex1))) | v130(constB47, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13748, 10803])).
% 8.43/6.04 tff(13750,plain,
% 8.43/6.04 (v130(constB47, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13749, 13747])).
% 8.43/6.04 tff(13751,plain,
% 8.43/6.04 ((~(v127(constB47, bitIndex1) <=> v130(constB47, bitIndex1))) | v127(constB47, bitIndex1) | (~v130(constB47, bitIndex1))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13752,plain,
% 8.43/6.04 (v127(constB47, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13751, 13750, 13743])).
% 8.43/6.04 tff(13753,plain,
% 8.43/6.04 ((~(v129(constB48, bitIndex1) <=> v127(constB47, bitIndex1))) | v129(constB48, bitIndex1) | (~v127(constB47, bitIndex1))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13754,plain,
% 8.43/6.04 (v129(constB48, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13753, 13752, 13739])).
% 8.43/6.04 tff(13755,plain,
% 8.43/6.04 ((~(v90(constB48, bitIndex1) <=> v129(constB48, bitIndex1))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13756,plain,
% 8.43/6.04 (v90(constB48, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13755, 13754, 13735])).
% 8.43/6.04 tff(13757,plain,
% 8.43/6.04 ((~(v90(constB49, bitIndex1) <=> v90(constB48, bitIndex1))) | v90(constB49, bitIndex1) | (~v90(constB48, bitIndex1))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13758,plain,
% 8.43/6.04 (v90(constB49, bitIndex1)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13757, 13756, 13731])).
% 8.43/6.04 tff(13759,plain,
% 8.43/6.04 ((~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13760,plain,
% 8.43/6.04 (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13759, 13758, 13727, 13696])).
% 8.43/6.04 tff(13761,plain,
% 8.43/6.04 ((~(v125(constB49) <=> (~((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))) | v125(constB49) | ((~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13762,plain,
% 8.43/6.04 (v125(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13761, 13760, 7396])).
% 8.43/6.04 tff(13763,plain,
% 8.43/6.04 ((v114(constB49) | v125(constB49)) | (~v125(constB49))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13764,plain,
% 8.43/6.04 (v114(constB49) | v125(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13763, 13762])).
% 8.43/6.04 tff(13765,plain,
% 8.43/6.04 ((~(v113(constB49) <=> (v114(constB49) | v125(constB49)))) | v113(constB49) | (~(v114(constB49) | v125(constB49)))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13766,plain,
% 8.43/6.04 (v113(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13765, 13764, 7389])).
% 8.43/6.04 tff(13767,plain,
% 8.43/6.04 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB49)) <=> v111(constB49))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13768,plain,
% 8.43/6.04 ((~v126(constB49)) <=> v111(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13767, 9720])).
% 8.43/6.04 tff(13769,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB49) <=> v26(constB49))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13770,plain,
% 8.43/6.04 (v111(constB49) <=> v26(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13769, 9732])).
% 8.43/6.04 tff(13771,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13772,plain,
% 8.43/6.04 (~v26(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13771, 9744])).
% 8.43/6.04 tff(13773,plain,
% 8.43/6.04 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49)) | v26(constB49)),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13774,plain,
% 8.43/6.04 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13773, 13772])).
% 8.43/6.04 tff(13775,plain,
% 8.43/6.04 (~v111(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13774, 13770])).
% 8.43/6.04 tff(13776,plain,
% 8.43/6.04 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49) | v111(constB49)),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13777,plain,
% 8.43/6.04 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13776, 13775])).
% 8.43/6.04 tff(13778,plain,
% 8.43/6.04 (v126(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13777, 13768])).
% 8.43/6.04 tff(13779,plain,
% 8.43/6.04 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49)) | (~v126(constB49))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13780,plain,
% 8.43/6.04 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13779, 13778])).
% 8.43/6.04 tff(13781,plain,
% 8.43/6.04 (~((~v113(constB49)) | (~v126(constB49)))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13780, 13766])).
% 8.43/6.04 tff(13782,plain,
% 8.43/6.04 ((~(v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))) | v112(constB49) | ((~v113(constB49)) | (~v126(constB49)))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13783,plain,
% 8.43/6.04 (v112(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13782, 13781, 7387])).
% 8.43/6.04 tff(13784,plain,
% 8.43/6.04 ((v111(constB49) | v112(constB49)) | (~v112(constB49))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13785,plain,
% 8.43/6.04 (v111(constB49) | v112(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13784, 13783])).
% 8.43/6.04 tff(13786,plain,
% 8.43/6.04 ((~(v108(constB49) <=> (v111(constB49) | v112(constB49)))) | v108(constB49) | (~(v111(constB49) | v112(constB49)))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13787,plain,
% 8.43/6.04 (v108(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13786, 13785, 7385])).
% 8.43/6.04 tff(13788,plain,
% 8.43/6.04 ((~(v110(constB50) <=> v108(constB49))) | v110(constB50) | (~v108(constB49))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13789,plain,
% 8.43/6.04 (v110(constB50)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13788, 13787, 7383])).
% 8.43/6.04 tff(13790,plain,
% 8.43/6.04 ((~((~v101(constB50)) | (~v110(constB50)))) | (~v101(constB50)) | (~v110(constB50))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13791,plain,
% 8.43/6.04 (~((~v101(constB50)) | (~v110(constB50)))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13790, 13789, 7379])).
% 8.43/6.04 tff(13792,plain,
% 8.43/6.04 ((~(v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))) | v100(constB50) | ((~v101(constB50)) | (~v110(constB50)))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13793,plain,
% 8.43/6.04 (v100(constB50)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13792, 13791, 7348])).
% 8.43/6.04 tff(13794,plain,
% 8.43/6.04 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13795,plain,
% 8.43/6.04 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B))))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13796,plain,
% 8.43/6.04 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13795, 13794])).
% 8.43/6.04 tff(13797,plain,
% 8.43/6.04 ((~v100(constB50)) | ![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13796, 9780])).
% 8.43/6.04 tff(13798,plain,
% 8.43/6.04 (![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13797, 13793])).
% 8.43/6.04 tff(13799,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13800,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13801,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex2)) | (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 8.43/6.04 tff(13802,plain,
% 8.43/6.04 (v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13801, 648, 13798])).
% 8.43/6.04 tff(13803,plain,
% 8.43/6.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13804,plain,
% 8.43/6.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B))))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13805,plain,
% 8.43/6.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13804, 13803])).
% 8.43/6.04 tff(13806,plain,
% 8.43/6.04 (![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13805, 7344, 9802])).
% 8.43/6.04 tff(13807,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13808,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13809,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex2)) | (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 8.43/6.04 tff(13810,plain,
% 8.43/6.04 (v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13809, 648, 13806])).
% 8.43/6.04 tff(13811,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB49) | ![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB49) | ![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13812,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB49) | ![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B))))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13813,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB49) | ![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13812, 13811])).
% 8.43/6.04 tff(13814,plain,
% 8.43/6.04 (![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13813, 9823, 13775])).
% 8.43/6.04 tff(13815,plain,
% 8.43/6.04 (((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13816,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13817,plain,
% 8.43/6.04 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex2)) | (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13816, 13815])).
% 8.43/6.04 tff(13818,plain,
% 8.43/6.04 (v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13817, 648, 13814])).
% 8.43/6.04 tff(13819,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13820,plain,
% 8.43/6.04 (v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13819, 9620])).
% 8.43/6.04 tff(13821,plain,
% 8.43/6.04 ((v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex2))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13822,plain,
% 8.43/6.04 (v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13821, 13696])).
% 8.43/6.04 tff(13823,plain,
% 8.43/6.04 ((~(v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))))) | (~v119(constB49)) | (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13824,plain,
% 8.43/6.04 (~v119(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13823, 13822, 13820])).
% 8.43/6.04 tff(13825,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13826,plain,
% 8.43/6.04 ((v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2))))) <=> (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13827,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.04 inference(monotonicity,[status(thm)],[13826])).
% 8.43/6.04 tff(13828,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.04 inference(transitivity,[status(thm)],[13827, 13825])).
% 8.43/6.04 tff(13829,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2)))))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13830,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13829, 13828])).
% 8.43/6.04 tff(13831,plain,
% 8.43/6.04 (v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13830, 815])).
% 8.43/6.04 tff(13832,plain,
% 8.43/6.04 (((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex1))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13833,plain,
% 8.43/6.04 ((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13832, 13758])).
% 8.43/6.04 tff(13834,plain,
% 8.43/6.04 ((~(v124(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))) | (~v124(constB49)) | (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13835,plain,
% 8.43/6.04 (~v124(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13834, 13833, 13831])).
% 8.43/6.04 tff(13836,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13837,plain,
% 8.43/6.04 ((v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2))))) <=> (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13838,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)))))),
% 8.43/6.04 inference(monotonicity,[status(thm)],[13837])).
% 8.43/6.04 tff(13839,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)))))),
% 8.43/6.04 inference(transitivity,[status(thm)],[13838, 13836])).
% 8.43/6.04 tff(13840,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)))))),
% 8.43/6.04 inference(quant_inst,[status(thm)],[])).
% 8.43/6.04 tff(13841,plain,
% 8.43/6.04 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0))))),
% 8.43/6.04 inference(modus_ponens,[status(thm)],[13840, 13839])).
% 8.43/6.04 tff(13842,plain,
% 8.43/6.04 (v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)))),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13841, 919])).
% 8.43/6.04 tff(13843,plain,
% 8.43/6.04 (((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13844,plain,
% 8.43/6.04 ((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13843, 13758])).
% 8.43/6.04 tff(13845,plain,
% 8.43/6.04 ((~(v123(constB49) <=> (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0))))) | (~v123(constB49)) | (~((~v90(constB49, bitIndex2)) | v90(constB49, bitIndex1) | v90(constB49, bitIndex0)))),
% 8.43/6.04 inference(tautology,[status(thm)],[])).
% 8.43/6.04 tff(13846,plain,
% 8.43/6.04 (~v123(constB49)),
% 8.43/6.04 inference(unit_resolution,[status(thm)],[13845, 13844, 13842])).
% 8.43/6.04 tff(13847,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13848,plain,
% 8.43/6.04 ((v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1))))) <=> (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))),
% 8.43/6.04 inference(rewrite,[status(thm)],[])).
% 8.43/6.04 tff(13849,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.04 inference(monotonicity,[status(thm)],[13848])).
% 8.43/6.04 tff(13850,plain,
% 8.43/6.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.05 inference(transitivity,[status(thm)],[13849, 13847])).
% 8.43/6.05 tff(13851,plain,
% 8.43/6.05 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)))))),
% 8.43/6.05 inference(quant_inst,[status(thm)],[])).
% 8.43/6.05 tff(13852,plain,
% 8.43/6.05 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))),
% 8.43/6.05 inference(modus_ponens,[status(thm)],[13851, 13850])).
% 8.43/6.05 tff(13853,plain,
% 8.43/6.05 (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13852, 1025])).
% 8.43/6.05 tff(13854,plain,
% 8.43/6.05 ((v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex2))),
% 8.43/6.05 inference(tautology,[status(thm)],[])).
% 8.43/6.05 tff(13855,plain,
% 8.43/6.05 (v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13854, 13696])).
% 8.43/6.05 tff(13856,plain,
% 8.43/6.05 ((~(v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))) | (~v122(constB49)) | (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))),
% 8.43/6.05 inference(tautology,[status(thm)],[])).
% 8.43/6.05 tff(13857,plain,
% 8.43/6.05 (~v122(constB49)),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13856, 13855, 13853])).
% 8.43/6.05 tff(13858,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 8.43/6.05 inference(rewrite,[status(thm)],[])).
% 8.43/6.05 tff(13859,plain,
% 8.43/6.05 ((v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1))))) <=> (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 8.43/6.05 inference(rewrite,[status(thm)],[])).
% 8.43/6.05 tff(13860,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 8.43/6.05 inference(monotonicity,[status(thm)],[13859])).
% 8.43/6.05 tff(13861,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))))),
% 8.43/6.05 inference(transitivity,[status(thm)],[13860, 13858])).
% 8.43/6.05 tff(13862,plain,
% 8.43/6.05 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))),
% 8.43/6.05 inference(quant_inst,[status(thm)],[])).
% 8.43/6.05 tff(13863,plain,
% 8.43/6.05 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))),
% 8.43/6.05 inference(modus_ponens,[status(thm)],[13862, 13861])).
% 8.43/6.05 tff(13864,plain,
% 8.43/6.05 (v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13863, 1133])).
% 8.43/6.05 tff(13865,plain,
% 8.43/6.05 ((v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2))),
% 8.43/6.05 inference(tautology,[status(thm)],[])).
% 8.43/6.05 tff(13866,plain,
% 8.43/6.05 (v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13865, 13696])).
% 8.43/6.05 tff(13867,plain,
% 8.43/6.05 ((~(v121(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0))))) | (~v121(constB49)) | (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex0)))),
% 8.43/6.05 inference(tautology,[status(thm)],[])).
% 8.43/6.05 tff(13868,plain,
% 8.43/6.05 (~v121(constB49)),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13867, 13866, 13864])).
% 8.43/6.05 tff(13869,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.05 inference(rewrite,[status(thm)],[])).
% 8.43/6.05 tff(13870,plain,
% 8.43/6.05 ((v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0))))) <=> (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))),
% 8.43/6.05 inference(rewrite,[status(thm)],[])).
% 8.43/6.05 tff(13871,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.05 inference(monotonicity,[status(thm)],[13870])).
% 8.43/6.05 tff(13872,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))))),
% 8.43/6.05 inference(transitivity,[status(thm)],[13871, 13869])).
% 8.43/6.05 tff(13873,plain,
% 8.43/6.05 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)))))),
% 8.43/6.05 inference(quant_inst,[status(thm)],[])).
% 8.43/6.05 tff(13874,plain,
% 8.43/6.05 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))),
% 8.43/6.05 inference(modus_ponens,[status(thm)],[13873, 13872])).
% 8.43/6.05 tff(13875,plain,
% 8.43/6.05 (v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13874, 610])).
% 8.43/6.05 tff(13876,plain,
% 8.43/6.05 ((v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex2))),
% 8.43/6.05 inference(tautology,[status(thm)],[])).
% 8.43/6.05 tff(13877,plain,
% 8.43/6.05 (v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13876, 13696])).
% 8.43/6.05 tff(13878,plain,
% 8.43/6.05 ((~(v120(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)))))) | (~v120(constB49)) | (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0))))),
% 8.43/6.05 inference(tautology,[status(thm)],[])).
% 8.43/6.05 tff(13879,plain,
% 8.43/6.05 (~v120(constB49)),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13878, 13877, 13875])).
% 8.43/6.05 tff(13880,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B))))),
% 8.43/6.05 inference(rewrite,[status(thm)],[])).
% 8.43/6.05 tff(13881,plain,
% 8.43/6.05 ((v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) <=> (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B))))),
% 8.43/6.05 inference(rewrite,[status(thm)],[])).
% 8.43/6.05 tff(13882,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))))),
% 8.43/6.05 inference(monotonicity,[status(thm)],[13881])).
% 8.43/6.05 tff(13883,plain,
% 8.43/6.05 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B))))),
% 8.43/6.05 inference(transitivity,[status(thm)],[13882, 13880])).
% 8.43/6.05 tff(13884,plain,
% 8.43/6.05 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B))))),
% 8.43/6.05 inference(quant_inst,[status(thm)],[])).
% 8.43/6.05 tff(13885,plain,
% 8.43/6.05 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))),
% 8.43/6.05 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 8.43/6.05 tff(13886,plain,
% 8.43/6.05 (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | ![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13885, 10951])).
% 8.43/6.05 tff(13887,plain,
% 8.43/6.05 (![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13886, 13879, 13868, 13857, 13846, 13835, 13824])).
% 8.43/6.05 tff(13888,plain,
% 8.43/6.05 (((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b001(bitIndex2)))),
% 8.43/6.05 inference(rewrite,[status(thm)],[])).
% 8.43/6.05 tff(13889,plain,
% 8.43/6.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b001(bitIndex2)))),
% 8.43/6.05 inference(quant_inst,[status(thm)],[])).
% 8.43/6.05 tff(13890,plain,
% 8.43/6.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB49, bitIndex2) <=> b001(bitIndex2))),
% 8.43/6.05 inference(modus_ponens,[status(thm)],[13889, 13888])).
% 8.43/6.05 tff(13891,plain,
% 8.43/6.05 (v130(constB49, bitIndex2) <=> b001(bitIndex2)),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13890, 648, 13887])).
% 8.43/6.05 tff(13892,plain,
% 8.43/6.05 ((~(v130(constB49, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB49, bitIndex2)) | b001(bitIndex2)),
% 8.43/6.05 inference(tautology,[status(thm)],[])).
% 8.43/6.05 tff(13893,plain,
% 8.43/6.05 ((~(v130(constB49, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB49, bitIndex2))),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13892, 9855])).
% 8.43/6.05 tff(13894,plain,
% 8.43/6.05 (~v130(constB49, bitIndex2)),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13893, 13891])).
% 8.43/6.05 tff(13895,plain,
% 8.43/6.05 ((~(v127(constB49, bitIndex2) <=> v130(constB49, bitIndex2))) | (~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 8.43/6.05 inference(tautology,[status(thm)],[])).
% 8.43/6.05 tff(13896,plain,
% 8.43/6.05 (~v127(constB49, bitIndex2)),
% 8.43/6.05 inference(unit_resolution,[status(thm)],[13895, 13894, 13818])).
% 8.48/6.05 tff(13897,plain,
% 8.48/6.05 ((~(v129(constB50, bitIndex2) <=> v127(constB49, bitIndex2))) | (~v129(constB50, bitIndex2)) | v127(constB49, bitIndex2)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13898,plain,
% 8.48/6.05 (~v129(constB50, bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13897, 13896, 13810])).
% 8.48/6.05 tff(13899,plain,
% 8.48/6.05 ((~(v90(constB50, bitIndex2) <=> v129(constB50, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13900,plain,
% 8.48/6.05 (~v90(constB50, bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13899, 13898, 13802])).
% 8.48/6.05 tff(13901,plain,
% 8.48/6.05 ((~(v90(constB51, bitIndex2) <=> v90(constB50, bitIndex2))) | (~v90(constB51, bitIndex2)) | v90(constB50, bitIndex2)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13902,plain,
% 8.48/6.05 (~v90(constB51, bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13901, 13900, 7341])).
% 8.48/6.05 tff(13903,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13904,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13905,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13904, 13903])).
% 8.48/6.05 tff(13906,plain,
% 8.48/6.05 (v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13905, 9653, 7337])).
% 8.48/6.05 tff(13907,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13908,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13909,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex0)) | (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 8.48/6.05 tff(13910,plain,
% 8.48/6.05 (v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13909, 9653, 13798])).
% 8.48/6.05 tff(13911,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13912,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13913,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex0)) | (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 8.48/6.05 tff(13914,plain,
% 8.48/6.05 (v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13913, 9653, 13806])).
% 8.48/6.05 tff(13915,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13916,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13917,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex0)) | (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 8.48/6.05 tff(13918,plain,
% 8.48/6.05 (v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13917, 9653, 13814])).
% 8.48/6.05 tff(13919,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b001(bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13920,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b001(bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13921,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB49, bitIndex0) <=> b001(bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13920, 13919])).
% 8.48/6.05 tff(13922,plain,
% 8.48/6.05 (v130(constB49, bitIndex0) <=> b001(bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13921, 9653, 13887])).
% 8.48/6.05 tff(13923,plain,
% 8.48/6.05 ((~(v130(constB49, bitIndex0) <=> b001(bitIndex0))) | v130(constB49, bitIndex0) | (~b001(bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13924,plain,
% 8.48/6.05 ((~(v130(constB49, bitIndex0) <=> b001(bitIndex0))) | v130(constB49, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13923, 9889])).
% 8.48/6.05 tff(13925,plain,
% 8.48/6.05 (v130(constB49, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13924, 13922])).
% 8.48/6.05 tff(13926,plain,
% 8.48/6.05 ((~(v127(constB49, bitIndex0) <=> v130(constB49, bitIndex0))) | v127(constB49, bitIndex0) | (~v130(constB49, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13927,plain,
% 8.48/6.05 (v127(constB49, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13926, 13925, 13918])).
% 8.48/6.05 tff(13928,plain,
% 8.48/6.05 ((~(v129(constB50, bitIndex0) <=> v127(constB49, bitIndex0))) | v129(constB50, bitIndex0) | (~v127(constB49, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13929,plain,
% 8.48/6.05 (v129(constB50, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13928, 13927, 13914])).
% 8.48/6.05 tff(13930,plain,
% 8.48/6.05 ((~(v90(constB50, bitIndex0) <=> v129(constB50, bitIndex0))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13931,plain,
% 8.48/6.05 (v90(constB50, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13930, 13929, 13910])).
% 8.48/6.05 tff(13932,plain,
% 8.48/6.05 ((~(v90(constB51, bitIndex0) <=> v90(constB50, bitIndex0))) | v90(constB51, bitIndex0) | (~v90(constB50, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13933,plain,
% 8.48/6.05 (v90(constB51, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13932, 13931, 13906])).
% 8.48/6.05 tff(13934,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13935,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13936,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB51, B) <=> v90(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13935, 13934])).
% 8.48/6.05 tff(13937,plain,
% 8.48/6.05 (v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13936, 375, 7337])).
% 8.48/6.05 tff(13938,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13939,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | ((~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13940,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v90(constB50, B) <=> v129(constB50, B)))) | (~less_3(bitIndex1)) | (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13939, 13938])).
% 8.48/6.05 tff(13941,plain,
% 8.48/6.05 (v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13940, 375, 13798])).
% 8.48/6.05 tff(13942,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13943,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | ((~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13944,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v129(constB50, B) <=> v127(constB49, B)))) | (~less_3(bitIndex1)) | (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13943, 13942])).
% 8.48/6.05 tff(13945,plain,
% 8.48/6.05 (v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13944, 375, 13806])).
% 8.48/6.05 tff(13946,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13947,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | ((~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13948,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v127(constB49, B) <=> v130(constB49, B)))) | (~less_3(bitIndex1)) | (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13947, 13946])).
% 8.48/6.05 tff(13949,plain,
% 8.48/6.05 (v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13948, 375, 13814])).
% 8.48/6.05 tff(13950,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b001(bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(13951,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b001(bitIndex1)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13952,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v130(constB49, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB49, bitIndex1) <=> b001(bitIndex1))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[13951, 13950])).
% 8.48/6.05 tff(13953,plain,
% 8.48/6.05 (v130(constB49, bitIndex1) <=> b001(bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13952, 375, 13887])).
% 8.48/6.05 tff(13954,plain,
% 8.48/6.05 ((~(v130(constB49, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB49, bitIndex1)) | b001(bitIndex1)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13955,plain,
% 8.48/6.05 ((~(v130(constB49, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB49, bitIndex1))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13954, 9923])).
% 8.48/6.05 tff(13956,plain,
% 8.48/6.05 (~v130(constB49, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13955, 13953])).
% 8.48/6.05 tff(13957,plain,
% 8.48/6.05 ((~(v127(constB49, bitIndex1) <=> v130(constB49, bitIndex1))) | (~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13958,plain,
% 8.48/6.05 (~v127(constB49, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13957, 13956, 13949])).
% 8.48/6.05 tff(13959,plain,
% 8.48/6.05 ((~(v129(constB50, bitIndex1) <=> v127(constB49, bitIndex1))) | (~v129(constB50, bitIndex1)) | v127(constB49, bitIndex1)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13960,plain,
% 8.48/6.05 (~v129(constB50, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13959, 13958, 13945])).
% 8.48/6.05 tff(13961,plain,
% 8.48/6.05 ((~(v90(constB50, bitIndex1) <=> v129(constB50, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13962,plain,
% 8.48/6.05 (~v90(constB50, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13961, 13960, 13941])).
% 8.48/6.05 tff(13963,plain,
% 8.48/6.05 ((~(v90(constB51, bitIndex1) <=> v90(constB50, bitIndex1))) | (~v90(constB51, bitIndex1)) | v90(constB50, bitIndex1)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13964,plain,
% 8.48/6.05 (~v90(constB51, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13963, 13962, 13937])).
% 8.48/6.05 tff(13965,plain,
% 8.48/6.05 ((~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))) | v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13966,plain,
% 8.48/6.05 (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13965, 13964, 13933, 13902])).
% 8.48/6.05 tff(13967,plain,
% 8.48/6.05 ((~(v120(constB51) <=> (~(v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))))) | v120(constB51) | (v90(constB51, bitIndex2) | v90(constB51, bitIndex1) | (~v90(constB51, bitIndex0)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13968,plain,
% 8.48/6.05 (v120(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13967, 13966, 7309])).
% 8.48/6.05 tff(13969,plain,
% 8.48/6.05 ((v119(constB51) | v120(constB51)) | (~v120(constB51))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13970,plain,
% 8.48/6.05 (v119(constB51) | v120(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13969, 13968])).
% 8.48/6.05 tff(13971,plain,
% 8.48/6.05 ((~(v118(constB51) <=> (v119(constB51) | v120(constB51)))) | v118(constB51) | (~(v119(constB51) | v120(constB51)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13972,plain,
% 8.48/6.05 (v118(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13971, 13970, 7302])).
% 8.48/6.05 tff(13973,plain,
% 8.48/6.05 ((v118(constB51) | v121(constB51)) | (~v118(constB51))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13974,plain,
% 8.48/6.05 (v118(constB51) | v121(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13973, 13972])).
% 8.48/6.05 tff(13975,plain,
% 8.48/6.05 ((~(v117(constB51) <=> (v118(constB51) | v121(constB51)))) | v117(constB51) | (~(v118(constB51) | v121(constB51)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13976,plain,
% 8.48/6.05 (v117(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13975, 13974, 7300])).
% 8.48/6.05 tff(13977,plain,
% 8.48/6.05 ((v117(constB51) | v122(constB51)) | (~v117(constB51))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13978,plain,
% 8.48/6.05 (v117(constB51) | v122(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13977, 13976])).
% 8.48/6.05 tff(13979,plain,
% 8.48/6.05 ((~(v116(constB51) <=> (v117(constB51) | v122(constB51)))) | v116(constB51) | (~(v117(constB51) | v122(constB51)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13980,plain,
% 8.48/6.05 (v116(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13979, 13978, 7298])).
% 8.48/6.05 tff(13981,plain,
% 8.48/6.05 ((v116(constB51) | v123(constB51)) | (~v116(constB51))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13982,plain,
% 8.48/6.05 (v116(constB51) | v123(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13981, 13980])).
% 8.48/6.05 tff(13983,plain,
% 8.48/6.05 ((~(v115(constB51) <=> (v116(constB51) | v123(constB51)))) | v115(constB51) | (~(v116(constB51) | v123(constB51)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13984,plain,
% 8.48/6.05 (v115(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13983, 13982, 7296])).
% 8.48/6.05 tff(13985,plain,
% 8.48/6.05 ((v115(constB51) | v124(constB51)) | (~v115(constB51))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13986,plain,
% 8.48/6.05 (v115(constB51) | v124(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13985, 13984])).
% 8.48/6.05 tff(13987,plain,
% 8.48/6.05 ((~(v114(constB51) <=> (v115(constB51) | v124(constB51)))) | v114(constB51) | (~(v115(constB51) | v124(constB51)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13988,plain,
% 8.48/6.05 (v114(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13987, 13986, 7294])).
% 8.48/6.05 tff(13989,plain,
% 8.48/6.05 ((v114(constB51) | v125(constB51)) | (~v114(constB51))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13990,plain,
% 8.48/6.05 (v114(constB51) | v125(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13989, 13988])).
% 8.48/6.05 tff(13991,plain,
% 8.48/6.05 ((~(v113(constB51) <=> (v114(constB51) | v125(constB51)))) | v113(constB51) | (~(v114(constB51) | v125(constB51)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(13992,plain,
% 8.48/6.05 (v113(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13991, 13990, 7292])).
% 8.48/6.05 tff(13993,plain,
% 8.48/6.05 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB51)) <=> v111(constB51))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(13994,plain,
% 8.48/6.05 ((~v126(constB51)) <=> v111(constB51)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[13993, 9720])).
% 8.48/6.05 tff(13995,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB51) <=> v26(constB51))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(13996,plain,
% 8.48/6.06 (v111(constB51) <=> v26(constB51)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[13995, 9732])).
% 8.48/6.06 tff(13997,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(13998,plain,
% 8.48/6.06 (~v26(constB51)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[13997, 9744])).
% 8.48/6.06 tff(13999,plain,
% 8.48/6.06 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51)) | v26(constB51)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14000,plain,
% 8.48/6.06 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[13999, 13998])).
% 8.48/6.06 tff(14001,plain,
% 8.48/6.06 (~v111(constB51)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14000, 13996])).
% 8.48/6.06 tff(14002,plain,
% 8.48/6.06 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51) | v111(constB51)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14003,plain,
% 8.48/6.06 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14002, 14001])).
% 8.48/6.06 tff(14004,plain,
% 8.48/6.06 (v126(constB51)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14003, 13994])).
% 8.48/6.06 tff(14005,plain,
% 8.48/6.06 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51)) | (~v126(constB51))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14006,plain,
% 8.48/6.06 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14005, 14004])).
% 8.48/6.06 tff(14007,plain,
% 8.48/6.06 (~((~v113(constB51)) | (~v126(constB51)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14006, 13992])).
% 8.48/6.06 tff(14008,plain,
% 8.48/6.06 ((~(v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))) | v112(constB51) | ((~v113(constB51)) | (~v126(constB51)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14009,plain,
% 8.48/6.06 (v112(constB51)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14008, 14007, 7290])).
% 8.48/6.06 tff(14010,plain,
% 8.48/6.06 ((v111(constB51) | v112(constB51)) | (~v112(constB51))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14011,plain,
% 8.48/6.06 (v111(constB51) | v112(constB51)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14010, 14009])).
% 8.48/6.06 tff(14012,plain,
% 8.48/6.06 ((~(v108(constB51) <=> (v111(constB51) | v112(constB51)))) | v108(constB51) | (~(v111(constB51) | v112(constB51)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14013,plain,
% 8.48/6.06 (v108(constB51)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14012, 14011, 7288])).
% 8.48/6.06 tff(14014,plain,
% 8.48/6.06 ((~(v110(constB52) <=> v108(constB51))) | v110(constB52) | (~v108(constB51))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14015,plain,
% 8.48/6.06 (v110(constB52)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14014, 14013, 7286])).
% 8.48/6.06 tff(14016,plain,
% 8.48/6.06 ((~((~v101(constB52)) | (~v110(constB52)))) | (~v101(constB52)) | (~v110(constB52))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14017,plain,
% 8.48/6.06 (~((~v101(constB52)) | (~v110(constB52)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14016, 14015, 7282])).
% 8.48/6.06 tff(14018,plain,
% 8.48/6.06 ((~(v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))) | v100(constB52) | ((~v101(constB52)) | (~v110(constB52)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14019,plain,
% 8.48/6.06 (v100(constB52)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14018, 14017, 7251])).
% 8.48/6.06 tff(14020,plain,
% 8.48/6.06 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B))))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14021,plain,
% 8.48/6.06 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B))))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14022,plain,
% 8.48/6.06 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14021, 14020])).
% 8.48/6.06 tff(14023,plain,
% 8.48/6.06 ((~v100(constB52)) | ![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14022, 9780])).
% 8.48/6.06 tff(14024,plain,
% 8.48/6.06 (![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14023, 14019])).
% 8.48/6.06 tff(14025,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14026,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14027,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex2)) | (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14026, 14025])).
% 8.48/6.06 tff(14028,plain,
% 8.48/6.06 (v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14027, 648, 14024])).
% 8.48/6.06 tff(14029,plain,
% 8.48/6.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B))))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14030,plain,
% 8.48/6.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B))))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14031,plain,
% 8.48/6.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14030, 14029])).
% 8.48/6.06 tff(14032,plain,
% 8.48/6.06 (![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14031, 7247, 9802])).
% 8.48/6.06 tff(14033,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14034,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14035,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex2)) | (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14034, 14033])).
% 8.48/6.06 tff(14036,plain,
% 8.48/6.06 (v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14035, 648, 14032])).
% 8.48/6.06 tff(14037,plain,
% 8.48/6.06 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB51) | ![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB51) | ![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B))))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14038,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB51) | ![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B))))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14039,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB51) | ![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14038, 14037])).
% 8.48/6.06 tff(14040,plain,
% 8.48/6.06 (![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14039, 9823, 14001])).
% 8.48/6.06 tff(14041,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14042,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14043,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex2)) | (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14042, 14041])).
% 8.48/6.06 tff(14044,plain,
% 8.48/6.06 (v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14043, 648, 14040])).
% 8.48/6.06 tff(14045,plain,
% 8.48/6.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B))))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14046,plain,
% 8.48/6.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B))))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14047,plain,
% 8.48/6.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14046, 14045])).
% 8.48/6.06 tff(14048,plain,
% 8.48/6.06 ((~v120(constB51)) | ![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14047, 10027])).
% 8.48/6.06 tff(14049,plain,
% 8.48/6.06 (![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14048, 13968])).
% 8.48/6.06 tff(14050,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b010(bitIndex2)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14051,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b010(bitIndex2)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14052,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB51, bitIndex2) <=> b010(bitIndex2))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14051, 14050])).
% 8.48/6.06 tff(14053,plain,
% 8.48/6.06 (v130(constB51, bitIndex2) <=> b010(bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14052, 648, 14049])).
% 8.48/6.06 tff(14054,plain,
% 8.48/6.06 ((~(v130(constB51, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB51, bitIndex2)) | b010(bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14055,plain,
% 8.48/6.06 ((~(v130(constB51, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB51, bitIndex2))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14054, 10039])).
% 8.48/6.06 tff(14056,plain,
% 8.48/6.06 (~v130(constB51, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14055, 14053])).
% 8.48/6.06 tff(14057,plain,
% 8.48/6.06 ((~(v127(constB51, bitIndex2) <=> v130(constB51, bitIndex2))) | (~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14058,plain,
% 8.48/6.06 (~v127(constB51, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14057, 14056, 14044])).
% 8.48/6.06 tff(14059,plain,
% 8.48/6.06 ((~(v129(constB52, bitIndex2) <=> v127(constB51, bitIndex2))) | (~v129(constB52, bitIndex2)) | v127(constB51, bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14060,plain,
% 8.48/6.06 (~v129(constB52, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14059, 14058, 14036])).
% 8.48/6.06 tff(14061,plain,
% 8.48/6.06 ((~(v90(constB52, bitIndex2) <=> v129(constB52, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14062,plain,
% 8.48/6.06 (~v90(constB52, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14061, 14060, 14028])).
% 8.48/6.06 tff(14063,plain,
% 8.48/6.06 ((~(v90(constB53, bitIndex2) <=> v90(constB52, bitIndex2))) | (~v90(constB53, bitIndex2)) | v90(constB52, bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14064,plain,
% 8.48/6.06 (~v90(constB53, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14063, 14062, 7244])).
% 8.48/6.06 tff(14065,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14066,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14067,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14066, 14065])).
% 8.48/6.06 tff(14068,plain,
% 8.48/6.06 (v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14067, 9653, 7240])).
% 8.48/6.06 tff(14069,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14070,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14071,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex0)) | (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14070, 14069])).
% 8.48/6.06 tff(14072,plain,
% 8.48/6.06 (v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14071, 9653, 14024])).
% 8.48/6.06 tff(14073,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14074,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14075,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex0)) | (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14074, 14073])).
% 8.48/6.06 tff(14076,plain,
% 8.48/6.06 (v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14075, 9653, 14032])).
% 8.48/6.06 tff(14077,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14078,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14079,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex0)) | (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14078, 14077])).
% 8.48/6.06 tff(14080,plain,
% 8.48/6.06 (v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14079, 9653, 14040])).
% 8.48/6.06 tff(14081,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b010(bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14082,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b010(bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14083,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB51, bitIndex0) <=> b010(bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14082, 14081])).
% 8.48/6.06 tff(14084,plain,
% 8.48/6.06 (v130(constB51, bitIndex0) <=> b010(bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14083, 9653, 14049])).
% 8.48/6.06 tff(14085,plain,
% 8.48/6.06 ((~(v130(constB51, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB51, bitIndex0)) | b010(bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14086,plain,
% 8.48/6.06 ((~(v130(constB51, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB51, bitIndex0))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14085, 10073])).
% 8.48/6.06 tff(14087,plain,
% 8.48/6.06 (~v130(constB51, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14086, 14084])).
% 8.48/6.06 tff(14088,plain,
% 8.48/6.06 ((~(v127(constB51, bitIndex0) <=> v130(constB51, bitIndex0))) | (~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14089,plain,
% 8.48/6.06 (~v127(constB51, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14088, 14087, 14080])).
% 8.48/6.06 tff(14090,plain,
% 8.48/6.06 ((~(v129(constB52, bitIndex0) <=> v127(constB51, bitIndex0))) | (~v129(constB52, bitIndex0)) | v127(constB51, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14091,plain,
% 8.48/6.06 (~v129(constB52, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14090, 14089, 14076])).
% 8.48/6.06 tff(14092,plain,
% 8.48/6.06 ((~(v90(constB52, bitIndex0) <=> v129(constB52, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14093,plain,
% 8.48/6.06 (~v90(constB52, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14092, 14091, 14072])).
% 8.48/6.06 tff(14094,plain,
% 8.48/6.06 ((~(v90(constB53, bitIndex0) <=> v90(constB52, bitIndex0))) | (~v90(constB53, bitIndex0)) | v90(constB52, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14095,plain,
% 8.48/6.06 (~v90(constB53, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14094, 14093, 14068])).
% 8.48/6.06 tff(14096,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14097,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14098,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB53, B) <=> v90(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14097, 14096])).
% 8.48/6.06 tff(14099,plain,
% 8.48/6.06 (v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14098, 375, 7240])).
% 8.48/6.06 tff(14100,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14101,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | ((~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14102,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v90(constB52, B) <=> v129(constB52, B)))) | (~less_3(bitIndex1)) | (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14101, 14100])).
% 8.48/6.06 tff(14103,plain,
% 8.48/6.06 (v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14102, 375, 14024])).
% 8.48/6.06 tff(14104,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14105,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | ((~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14106,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v129(constB52, B) <=> v127(constB51, B)))) | (~less_3(bitIndex1)) | (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14105, 14104])).
% 8.48/6.06 tff(14107,plain,
% 8.48/6.06 (v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14106, 375, 14032])).
% 8.48/6.06 tff(14108,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14109,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | ((~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14110,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v127(constB51, B) <=> v130(constB51, B)))) | (~less_3(bitIndex1)) | (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 8.48/6.06 tff(14111,plain,
% 8.48/6.06 (v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14110, 375, 14040])).
% 8.48/6.06 tff(14112,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b010(bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(14113,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b010(bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14114,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v130(constB51, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB51, bitIndex1) <=> b010(bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[14113, 14112])).
% 8.48/6.06 tff(14115,plain,
% 8.48/6.06 (v130(constB51, bitIndex1) <=> b010(bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14114, 375, 14049])).
% 8.48/6.06 tff(14116,plain,
% 8.48/6.06 ((~(v130(constB51, bitIndex1) <=> b010(bitIndex1))) | v130(constB51, bitIndex1) | (~b010(bitIndex1))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14117,plain,
% 8.48/6.06 ((~(v130(constB51, bitIndex1) <=> b010(bitIndex1))) | v130(constB51, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14116, 10107])).
% 8.48/6.06 tff(14118,plain,
% 8.48/6.06 (v130(constB51, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14117, 14115])).
% 8.48/6.06 tff(14119,plain,
% 8.48/6.06 ((~(v127(constB51, bitIndex1) <=> v130(constB51, bitIndex1))) | v127(constB51, bitIndex1) | (~v130(constB51, bitIndex1))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14120,plain,
% 8.48/6.06 (v127(constB51, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14119, 14118, 14111])).
% 8.48/6.06 tff(14121,plain,
% 8.48/6.06 ((~(v129(constB52, bitIndex1) <=> v127(constB51, bitIndex1))) | v129(constB52, bitIndex1) | (~v127(constB51, bitIndex1))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14122,plain,
% 8.48/6.06 (v129(constB52, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14121, 14120, 14107])).
% 8.48/6.06 tff(14123,plain,
% 8.48/6.06 ((~(v90(constB52, bitIndex1) <=> v129(constB52, bitIndex1))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14124,plain,
% 8.48/6.06 (v90(constB52, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14123, 14122, 14103])).
% 8.48/6.06 tff(14125,plain,
% 8.48/6.06 ((~(v90(constB53, bitIndex1) <=> v90(constB52, bitIndex1))) | v90(constB53, bitIndex1) | (~v90(constB52, bitIndex1))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14126,plain,
% 8.48/6.06 (v90(constB53, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14125, 14124, 14099])).
% 8.48/6.06 tff(14127,plain,
% 8.48/6.06 ((~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14128,plain,
% 8.48/6.06 (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14127, 14126, 14095, 14064])).
% 8.48/6.06 tff(14129,plain,
% 8.48/6.06 ((~(v121(constB53) <=> (~(v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))))) | v121(constB53) | (v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex0))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14130,plain,
% 8.48/6.06 (v121(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14129, 14128, 7212])).
% 8.48/6.06 tff(14131,plain,
% 8.48/6.06 ((v118(constB53) | v121(constB53)) | (~v121(constB53))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14132,plain,
% 8.48/6.06 (v118(constB53) | v121(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14131, 14130])).
% 8.48/6.06 tff(14133,plain,
% 8.48/6.06 ((~(v117(constB53) <=> (v118(constB53) | v121(constB53)))) | v117(constB53) | (~(v118(constB53) | v121(constB53)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14134,plain,
% 8.48/6.06 (v117(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14133, 14132, 7205])).
% 8.48/6.06 tff(14135,plain,
% 8.48/6.06 ((v117(constB53) | v122(constB53)) | (~v117(constB53))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14136,plain,
% 8.48/6.06 (v117(constB53) | v122(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14135, 14134])).
% 8.48/6.06 tff(14137,plain,
% 8.48/6.06 ((~(v116(constB53) <=> (v117(constB53) | v122(constB53)))) | v116(constB53) | (~(v117(constB53) | v122(constB53)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14138,plain,
% 8.48/6.06 (v116(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14137, 14136, 7203])).
% 8.48/6.06 tff(14139,plain,
% 8.48/6.06 ((v116(constB53) | v123(constB53)) | (~v116(constB53))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14140,plain,
% 8.48/6.06 (v116(constB53) | v123(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14139, 14138])).
% 8.48/6.06 tff(14141,plain,
% 8.48/6.06 ((~(v115(constB53) <=> (v116(constB53) | v123(constB53)))) | v115(constB53) | (~(v116(constB53) | v123(constB53)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14142,plain,
% 8.48/6.06 (v115(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14141, 14140, 7201])).
% 8.48/6.06 tff(14143,plain,
% 8.48/6.06 ((v115(constB53) | v124(constB53)) | (~v115(constB53))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14144,plain,
% 8.48/6.06 (v115(constB53) | v124(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14143, 14142])).
% 8.48/6.06 tff(14145,plain,
% 8.48/6.06 ((~(v114(constB53) <=> (v115(constB53) | v124(constB53)))) | v114(constB53) | (~(v115(constB53) | v124(constB53)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14146,plain,
% 8.48/6.06 (v114(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14145, 14144, 7199])).
% 8.48/6.06 tff(14147,plain,
% 8.48/6.06 ((v114(constB53) | v125(constB53)) | (~v114(constB53))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14148,plain,
% 8.48/6.06 (v114(constB53) | v125(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14147, 14146])).
% 8.48/6.06 tff(14149,plain,
% 8.48/6.06 ((~(v113(constB53) <=> (v114(constB53) | v125(constB53)))) | v113(constB53) | (~(v114(constB53) | v125(constB53)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14150,plain,
% 8.48/6.06 (v113(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14149, 14148, 7197])).
% 8.48/6.06 tff(14151,plain,
% 8.48/6.06 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB53)) <=> v111(constB53))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14152,plain,
% 8.48/6.06 ((~v126(constB53)) <=> v111(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14151, 9720])).
% 8.48/6.06 tff(14153,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB53) <=> v26(constB53))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14154,plain,
% 8.48/6.06 (v111(constB53) <=> v26(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14153, 9732])).
% 8.48/6.06 tff(14155,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(14156,plain,
% 8.48/6.06 (~v26(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14155, 9744])).
% 8.48/6.06 tff(14157,plain,
% 8.48/6.06 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53)) | v26(constB53)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14158,plain,
% 8.48/6.06 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14157, 14156])).
% 8.48/6.06 tff(14159,plain,
% 8.48/6.06 (~v111(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14158, 14154])).
% 8.48/6.06 tff(14160,plain,
% 8.48/6.06 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53) | v111(constB53)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14161,plain,
% 8.48/6.06 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14160, 14159])).
% 8.48/6.06 tff(14162,plain,
% 8.48/6.06 (v126(constB53)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14161, 14152])).
% 8.48/6.06 tff(14163,plain,
% 8.48/6.06 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53)) | (~v126(constB53))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(14164,plain,
% 8.48/6.06 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14163, 14162])).
% 8.48/6.06 tff(14165,plain,
% 8.48/6.06 (~((~v113(constB53)) | (~v126(constB53)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[14164, 14150])).
% 8.48/6.06 tff(14166,plain,
% 8.48/6.06 ((~(v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))) | v112(constB53) | ((~v113(constB53)) | (~v126(constB53)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14167,plain,
% 8.48/6.07 (v112(constB53)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14166, 14165, 7195])).
% 8.48/6.07 tff(14168,plain,
% 8.48/6.07 ((v111(constB53) | v112(constB53)) | (~v112(constB53))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14169,plain,
% 8.48/6.07 (v111(constB53) | v112(constB53)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14168, 14167])).
% 8.48/6.07 tff(14170,plain,
% 8.48/6.07 ((~(v108(constB53) <=> (v111(constB53) | v112(constB53)))) | v108(constB53) | (~(v111(constB53) | v112(constB53)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14171,plain,
% 8.48/6.07 (v108(constB53)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14170, 14169, 7193])).
% 8.48/6.07 tff(14172,plain,
% 8.48/6.07 ((~(v110(constB54) <=> v108(constB53))) | v110(constB54) | (~v108(constB53))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14173,plain,
% 8.48/6.07 (v110(constB54)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14172, 14171, 7191])).
% 8.48/6.07 tff(14174,plain,
% 8.48/6.07 ((~((~v101(constB54)) | (~v110(constB54)))) | (~v101(constB54)) | (~v110(constB54))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14175,plain,
% 8.48/6.07 (~((~v101(constB54)) | (~v110(constB54)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14174, 14173, 7187])).
% 8.48/6.07 tff(14176,plain,
% 8.48/6.07 ((~(v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))) | v100(constB54) | ((~v101(constB54)) | (~v110(constB54)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14177,plain,
% 8.48/6.07 (v100(constB54)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14176, 14175, 7156])).
% 8.48/6.07 tff(14178,plain,
% 8.48/6.07 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14179,plain,
% 8.48/6.07 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14180,plain,
% 8.48/6.07 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14179, 14178])).
% 8.48/6.07 tff(14181,plain,
% 8.48/6.07 ((~v100(constB54)) | ![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14180, 9780])).
% 8.48/6.07 tff(14182,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14181, 14177])).
% 8.48/6.07 tff(14183,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14184,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14185,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex2)) | (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14184, 14183])).
% 8.48/6.07 tff(14186,plain,
% 8.48/6.07 (v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14185, 648, 14182])).
% 8.48/6.07 tff(14187,plain,
% 8.48/6.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14188,plain,
% 8.48/6.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14189,plain,
% 8.48/6.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14188, 14187])).
% 8.48/6.07 tff(14190,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14189, 7152, 9802])).
% 8.48/6.07 tff(14191,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14192,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14193,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex2)) | (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 8.48/6.07 tff(14194,plain,
% 8.48/6.07 (v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14193, 648, 14190])).
% 8.48/6.07 tff(14195,plain,
% 8.48/6.07 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB53) | ![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB53) | ![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14196,plain,
% 8.48/6.07 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB53) | ![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14197,plain,
% 8.48/6.07 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB53) | ![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14196, 14195])).
% 8.48/6.07 tff(14198,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14197, 9823, 14159])).
% 8.48/6.07 tff(14199,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14200,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14201,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex2)) | (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14200, 14199])).
% 8.48/6.07 tff(14202,plain,
% 8.48/6.07 (v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14201, 648, 14198])).
% 8.48/6.07 tff(14203,plain,
% 8.48/6.07 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14204,plain,
% 8.48/6.07 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14205,plain,
% 8.48/6.07 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14204, 14203])).
% 8.48/6.07 tff(14206,plain,
% 8.48/6.07 ((~v121(constB53)) | ![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14205, 10207])).
% 8.48/6.07 tff(14207,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14206, 14130])).
% 8.48/6.07 tff(14208,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b011(bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14209,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b011(bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14210,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB53, bitIndex2) <=> b011(bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14209, 14208])).
% 8.48/6.07 tff(14211,plain,
% 8.48/6.07 (v130(constB53, bitIndex2) <=> b011(bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14210, 648, 14207])).
% 8.48/6.07 tff(14212,plain,
% 8.48/6.07 ((~(v130(constB53, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB53, bitIndex2)) | b011(bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14213,plain,
% 8.48/6.07 ((~(v130(constB53, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB53, bitIndex2))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14212, 10219])).
% 8.48/6.07 tff(14214,plain,
% 8.48/6.07 (~v130(constB53, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14213, 14211])).
% 8.48/6.07 tff(14215,plain,
% 8.48/6.07 ((~(v127(constB53, bitIndex2) <=> v130(constB53, bitIndex2))) | (~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14216,plain,
% 8.48/6.07 (~v127(constB53, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14215, 14214, 14202])).
% 8.48/6.07 tff(14217,plain,
% 8.48/6.07 ((~(v129(constB54, bitIndex2) <=> v127(constB53, bitIndex2))) | (~v129(constB54, bitIndex2)) | v127(constB53, bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14218,plain,
% 8.48/6.07 (~v129(constB54, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14217, 14216, 14194])).
% 8.48/6.07 tff(14219,plain,
% 8.48/6.07 ((~(v90(constB54, bitIndex2) <=> v129(constB54, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14220,plain,
% 8.48/6.07 (~v90(constB54, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14219, 14218, 14186])).
% 8.48/6.07 tff(14221,plain,
% 8.48/6.07 ((~(v90(constB55, bitIndex2) <=> v90(constB54, bitIndex2))) | (~v90(constB55, bitIndex2)) | v90(constB54, bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14222,plain,
% 8.48/6.07 (~v90(constB55, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14221, 14220, 7149])).
% 8.48/6.07 tff(14223,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14224,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14225,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14224, 14223])).
% 8.48/6.07 tff(14226,plain,
% 8.48/6.07 (v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14225, 9653, 7145])).
% 8.48/6.07 tff(14227,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14228,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14229,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex0)) | (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14228, 14227])).
% 8.48/6.07 tff(14230,plain,
% 8.48/6.07 (v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14229, 9653, 14182])).
% 8.48/6.07 tff(14231,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14232,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14233,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex0)) | (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14232, 14231])).
% 8.48/6.07 tff(14234,plain,
% 8.48/6.07 (v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14233, 9653, 14190])).
% 8.48/6.07 tff(14235,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14236,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14237,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex0)) | (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14236, 14235])).
% 8.48/6.07 tff(14238,plain,
% 8.48/6.07 (v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14237, 9653, 14198])).
% 8.48/6.07 tff(14239,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b011(bitIndex0)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14240,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b011(bitIndex0)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14241,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB53, bitIndex0) <=> b011(bitIndex0))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14240, 14239])).
% 8.48/6.07 tff(14242,plain,
% 8.48/6.07 (v130(constB53, bitIndex0) <=> b011(bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14241, 9653, 14207])).
% 8.48/6.07 tff(14243,plain,
% 8.48/6.07 ((~(v130(constB53, bitIndex0) <=> b011(bitIndex0))) | v130(constB53, bitIndex0) | (~b011(bitIndex0))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14244,plain,
% 8.48/6.07 ((~(v130(constB53, bitIndex0) <=> b011(bitIndex0))) | v130(constB53, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14243, 10253])).
% 8.48/6.07 tff(14245,plain,
% 8.48/6.07 (v130(constB53, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14244, 14242])).
% 8.48/6.07 tff(14246,plain,
% 8.48/6.07 ((~(v127(constB53, bitIndex0) <=> v130(constB53, bitIndex0))) | v127(constB53, bitIndex0) | (~v130(constB53, bitIndex0))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14247,plain,
% 8.48/6.07 (v127(constB53, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14246, 14245, 14238])).
% 8.48/6.07 tff(14248,plain,
% 8.48/6.07 ((~(v129(constB54, bitIndex0) <=> v127(constB53, bitIndex0))) | v129(constB54, bitIndex0) | (~v127(constB53, bitIndex0))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14249,plain,
% 8.48/6.07 (v129(constB54, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14248, 14247, 14234])).
% 8.48/6.07 tff(14250,plain,
% 8.48/6.07 ((~(v90(constB54, bitIndex0) <=> v129(constB54, bitIndex0))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14251,plain,
% 8.48/6.07 (v90(constB54, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14250, 14249, 14230])).
% 8.48/6.07 tff(14252,plain,
% 8.48/6.07 ((~(v90(constB55, bitIndex0) <=> v90(constB54, bitIndex0))) | v90(constB55, bitIndex0) | (~v90(constB54, bitIndex0))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14253,plain,
% 8.48/6.07 (v90(constB55, bitIndex0)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14252, 14251, 14226])).
% 8.48/6.07 tff(14254,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14255,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14256,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB55, B) <=> v90(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14255, 14254])).
% 8.48/6.07 tff(14257,plain,
% 8.48/6.07 (v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14256, 375, 7145])).
% 8.48/6.07 tff(14258,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14259,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | ((~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14260,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB54, B) <=> v129(constB54, B)))) | (~less_3(bitIndex1)) | (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14259, 14258])).
% 8.48/6.07 tff(14261,plain,
% 8.48/6.07 (v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14260, 375, 14182])).
% 8.48/6.07 tff(14262,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14263,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | ((~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14264,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB54, B) <=> v127(constB53, B)))) | (~less_3(bitIndex1)) | (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 8.48/6.07 tff(14265,plain,
% 8.48/6.07 (v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14264, 375, 14190])).
% 8.48/6.07 tff(14266,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14267,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | ((~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14268,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v127(constB53, B) <=> v130(constB53, B)))) | (~less_3(bitIndex1)) | (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 8.48/6.07 tff(14269,plain,
% 8.48/6.07 (v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14268, 375, 14198])).
% 8.48/6.07 tff(14270,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b011(bitIndex1)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14271,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b011(bitIndex1)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14272,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v130(constB53, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB53, bitIndex1) <=> b011(bitIndex1))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 8.48/6.07 tff(14273,plain,
% 8.48/6.07 (v130(constB53, bitIndex1) <=> b011(bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14272, 375, 14207])).
% 8.48/6.07 tff(14274,plain,
% 8.48/6.07 ((~(v130(constB53, bitIndex1) <=> b011(bitIndex1))) | v130(constB53, bitIndex1) | (~b011(bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14275,plain,
% 8.48/6.07 ((~(v130(constB53, bitIndex1) <=> b011(bitIndex1))) | v130(constB53, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14274, 10287])).
% 8.48/6.07 tff(14276,plain,
% 8.48/6.07 (v130(constB53, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14275, 14273])).
% 8.48/6.07 tff(14277,plain,
% 8.48/6.07 ((~(v127(constB53, bitIndex1) <=> v130(constB53, bitIndex1))) | v127(constB53, bitIndex1) | (~v130(constB53, bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14278,plain,
% 8.48/6.07 (v127(constB53, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14277, 14276, 14269])).
% 8.48/6.07 tff(14279,plain,
% 8.48/6.07 ((~(v129(constB54, bitIndex1) <=> v127(constB53, bitIndex1))) | v129(constB54, bitIndex1) | (~v127(constB53, bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14280,plain,
% 8.48/6.07 (v129(constB54, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14279, 14278, 14265])).
% 8.48/6.07 tff(14281,plain,
% 8.48/6.07 ((~(v90(constB54, bitIndex1) <=> v129(constB54, bitIndex1))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14282,plain,
% 8.48/6.07 (v90(constB54, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14281, 14280, 14261])).
% 8.48/6.07 tff(14283,plain,
% 8.48/6.07 ((~(v90(constB55, bitIndex1) <=> v90(constB54, bitIndex1))) | v90(constB55, bitIndex1) | (~v90(constB54, bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14284,plain,
% 8.48/6.07 (v90(constB55, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14283, 14282, 14257])).
% 8.48/6.07 tff(14285,plain,
% 8.48/6.07 ((~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14286,plain,
% 8.48/6.07 (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14285, 14284, 14253, 14222])).
% 8.48/6.07 tff(14287,plain,
% 8.48/6.07 ((~(v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))) | v122(constB55) | (v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14288,plain,
% 8.48/6.07 (v122(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14287, 14286, 7117])).
% 8.48/6.07 tff(14289,plain,
% 8.48/6.07 ((v117(constB55) | v122(constB55)) | (~v122(constB55))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14290,plain,
% 8.48/6.07 (v117(constB55) | v122(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14289, 14288])).
% 8.48/6.07 tff(14291,plain,
% 8.48/6.07 ((~(v116(constB55) <=> (v117(constB55) | v122(constB55)))) | v116(constB55) | (~(v117(constB55) | v122(constB55)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14292,plain,
% 8.48/6.07 (v116(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14291, 14290, 7110])).
% 8.48/6.07 tff(14293,plain,
% 8.48/6.07 ((v116(constB55) | v123(constB55)) | (~v116(constB55))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14294,plain,
% 8.48/6.07 (v116(constB55) | v123(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14293, 14292])).
% 8.48/6.07 tff(14295,plain,
% 8.48/6.07 ((~(v115(constB55) <=> (v116(constB55) | v123(constB55)))) | v115(constB55) | (~(v116(constB55) | v123(constB55)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14296,plain,
% 8.48/6.07 (v115(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14295, 14294, 7108])).
% 8.48/6.07 tff(14297,plain,
% 8.48/6.07 ((v115(constB55) | v124(constB55)) | (~v115(constB55))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14298,plain,
% 8.48/6.07 (v115(constB55) | v124(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14297, 14296])).
% 8.48/6.07 tff(14299,plain,
% 8.48/6.07 ((~(v114(constB55) <=> (v115(constB55) | v124(constB55)))) | v114(constB55) | (~(v115(constB55) | v124(constB55)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14300,plain,
% 8.48/6.07 (v114(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14299, 14298, 7106])).
% 8.48/6.07 tff(14301,plain,
% 8.48/6.07 ((v114(constB55) | v125(constB55)) | (~v114(constB55))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14302,plain,
% 8.48/6.07 (v114(constB55) | v125(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14301, 14300])).
% 8.48/6.07 tff(14303,plain,
% 8.48/6.07 ((~(v113(constB55) <=> (v114(constB55) | v125(constB55)))) | v113(constB55) | (~(v114(constB55) | v125(constB55)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14304,plain,
% 8.48/6.07 (v113(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14303, 14302, 7104])).
% 8.48/6.07 tff(14305,plain,
% 8.48/6.07 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB55)) <=> v111(constB55))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14306,plain,
% 8.48/6.07 ((~v126(constB55)) <=> v111(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14305, 9720])).
% 8.48/6.07 tff(14307,plain,
% 8.48/6.07 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB55) <=> v26(constB55))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14308,plain,
% 8.48/6.07 (v111(constB55) <=> v26(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14307, 9732])).
% 8.48/6.07 tff(14309,plain,
% 8.48/6.07 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14310,plain,
% 8.48/6.07 (~v26(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14309, 9744])).
% 8.48/6.07 tff(14311,plain,
% 8.48/6.07 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55)) | v26(constB55)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14312,plain,
% 8.48/6.07 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14311, 14310])).
% 8.48/6.07 tff(14313,plain,
% 8.48/6.07 (~v111(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14312, 14308])).
% 8.48/6.07 tff(14314,plain,
% 8.48/6.07 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55) | v111(constB55)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14315,plain,
% 8.48/6.07 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14314, 14313])).
% 8.48/6.07 tff(14316,plain,
% 8.48/6.07 (v126(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14315, 14306])).
% 8.48/6.07 tff(14317,plain,
% 8.48/6.07 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55)) | (~v126(constB55))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14318,plain,
% 8.48/6.07 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14317, 14316])).
% 8.48/6.07 tff(14319,plain,
% 8.48/6.07 (~((~v113(constB55)) | (~v126(constB55)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14318, 14304])).
% 8.48/6.07 tff(14320,plain,
% 8.48/6.07 ((~(v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))) | v112(constB55) | ((~v113(constB55)) | (~v126(constB55)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14321,plain,
% 8.48/6.07 (v112(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14320, 14319, 7102])).
% 8.48/6.07 tff(14322,plain,
% 8.48/6.07 ((v111(constB55) | v112(constB55)) | (~v112(constB55))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14323,plain,
% 8.48/6.07 (v111(constB55) | v112(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14322, 14321])).
% 8.48/6.07 tff(14324,plain,
% 8.48/6.07 ((~(v108(constB55) <=> (v111(constB55) | v112(constB55)))) | v108(constB55) | (~(v111(constB55) | v112(constB55)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14325,plain,
% 8.48/6.07 (v108(constB55)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14324, 14323, 7100])).
% 8.48/6.07 tff(14326,plain,
% 8.48/6.07 ((~(v110(constB56) <=> v108(constB55))) | v110(constB56) | (~v108(constB55))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14327,plain,
% 8.48/6.07 (v110(constB56)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14326, 14325, 7098])).
% 8.48/6.07 tff(14328,plain,
% 8.48/6.07 ((~((~v101(constB56)) | (~v110(constB56)))) | (~v101(constB56)) | (~v110(constB56))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14329,plain,
% 8.48/6.07 (~((~v101(constB56)) | (~v110(constB56)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14328, 14327, 7094])).
% 8.48/6.07 tff(14330,plain,
% 8.48/6.07 ((~(v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))) | v100(constB56) | ((~v101(constB56)) | (~v110(constB56)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(14331,plain,
% 8.48/6.07 (v100(constB56)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14330, 14329, 7063])).
% 8.48/6.07 tff(14332,plain,
% 8.48/6.07 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14333,plain,
% 8.48/6.07 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14334,plain,
% 8.48/6.07 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14333, 14332])).
% 8.48/6.07 tff(14335,plain,
% 8.48/6.07 ((~v100(constB56)) | ![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14334, 9780])).
% 8.48/6.07 tff(14336,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14335, 14331])).
% 8.48/6.07 tff(14337,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14338,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14339,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex2)) | (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 8.48/6.07 tff(14340,plain,
% 8.48/6.07 (v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14339, 648, 14336])).
% 8.48/6.07 tff(14341,plain,
% 8.48/6.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14342,plain,
% 8.48/6.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14343,plain,
% 8.48/6.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14342, 14341])).
% 8.48/6.07 tff(14344,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14343, 7059, 9802])).
% 8.48/6.07 tff(14345,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(14346,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(14347,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex2)) | (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 8.48/6.07 tff(14348,plain,
% 8.48/6.07 (v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[14347, 648, 14344])).
% 8.48/6.07 tff(14349,plain,
% 8.48/6.07 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB55) | ![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB55) | ![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B))))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14350,plain,
% 8.48/6.08 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB55) | ![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B))))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14351,plain,
% 8.48/6.08 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB55) | ![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14350, 14349])).
% 8.48/6.08 tff(14352,plain,
% 8.48/6.08 (![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14351, 9823, 14313])).
% 8.48/6.08 tff(14353,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14354,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14355,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex2)) | (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 8.48/6.08 tff(14356,plain,
% 8.48/6.08 (v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14355, 648, 14352])).
% 8.48/6.08 tff(14357,plain,
% 8.48/6.08 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB55)) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB55)) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B))))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14358,plain,
% 8.48/6.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB55)) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B))))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14359,plain,
% 8.48/6.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB55)) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14358, 14357])).
% 8.48/6.08 tff(14360,plain,
% 8.48/6.08 ((~v122(constB55)) | ![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14359, 10383])).
% 8.48/6.08 tff(14361,plain,
% 8.48/6.08 (![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14360, 14288])).
% 8.48/6.08 tff(14362,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b100(bitIndex2)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14363,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b100(bitIndex2)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14364,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB55, bitIndex2) <=> b100(bitIndex2))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14363, 14362])).
% 8.48/6.08 tff(14365,plain,
% 8.48/6.08 (v130(constB55, bitIndex2) <=> b100(bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14364, 648, 14361])).
% 8.48/6.08 tff(14366,plain,
% 8.48/6.08 ((~(v130(constB55, bitIndex2) <=> b100(bitIndex2))) | v130(constB55, bitIndex2) | (~b100(bitIndex2))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14367,plain,
% 8.48/6.08 ((~(v130(constB55, bitIndex2) <=> b100(bitIndex2))) | v130(constB55, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14366, 10395])).
% 8.48/6.08 tff(14368,plain,
% 8.48/6.08 (v130(constB55, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14367, 14365])).
% 8.48/6.08 tff(14369,plain,
% 8.48/6.08 ((~(v127(constB55, bitIndex2) <=> v130(constB55, bitIndex2))) | v127(constB55, bitIndex2) | (~v130(constB55, bitIndex2))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14370,plain,
% 8.48/6.08 (v127(constB55, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14369, 14368, 14356])).
% 8.48/6.08 tff(14371,plain,
% 8.48/6.08 ((~(v129(constB56, bitIndex2) <=> v127(constB55, bitIndex2))) | v129(constB56, bitIndex2) | (~v127(constB55, bitIndex2))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14372,plain,
% 8.48/6.08 (v129(constB56, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14371, 14370, 14348])).
% 8.48/6.08 tff(14373,plain,
% 8.48/6.08 ((~(v90(constB56, bitIndex2) <=> v129(constB56, bitIndex2))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14374,plain,
% 8.48/6.08 (v90(constB56, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14373, 14372, 14340])).
% 8.48/6.08 tff(14375,plain,
% 8.48/6.08 ((~(v90(constB57, bitIndex2) <=> v90(constB56, bitIndex2))) | v90(constB57, bitIndex2) | (~v90(constB56, bitIndex2))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14376,plain,
% 8.48/6.08 (v90(constB57, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14375, 14374, 7056])).
% 8.48/6.08 tff(14377,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14378,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14379,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 8.48/6.08 tff(14380,plain,
% 8.48/6.08 (v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14379, 9653, 7052])).
% 8.48/6.08 tff(14381,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14382,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14383,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex0)) | (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 8.48/6.08 tff(14384,plain,
% 8.48/6.08 (v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14383, 9653, 14336])).
% 8.48/6.08 tff(14385,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14386,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14387,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex0)) | (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 8.48/6.08 tff(14388,plain,
% 8.48/6.08 (v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14387, 9653, 14344])).
% 8.48/6.08 tff(14389,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14390,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14391,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex0)) | (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14390, 14389])).
% 8.48/6.08 tff(14392,plain,
% 8.48/6.08 (v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14391, 9653, 14352])).
% 8.48/6.08 tff(14393,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b100(bitIndex0)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14394,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b100(bitIndex0)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14395,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB55, bitIndex0) <=> b100(bitIndex0))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 8.48/6.08 tff(14396,plain,
% 8.48/6.08 (v130(constB55, bitIndex0) <=> b100(bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14395, 9653, 14361])).
% 8.48/6.08 tff(14397,plain,
% 8.48/6.08 ((~(v130(constB55, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB55, bitIndex0)) | b100(bitIndex0)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14398,plain,
% 8.48/6.08 ((~(v130(constB55, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB55, bitIndex0))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14397, 10429])).
% 8.48/6.08 tff(14399,plain,
% 8.48/6.08 (~v130(constB55, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14398, 14396])).
% 8.48/6.08 tff(14400,plain,
% 8.48/6.08 ((~(v127(constB55, bitIndex0) <=> v130(constB55, bitIndex0))) | (~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14401,plain,
% 8.48/6.08 (~v127(constB55, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14400, 14399, 14392])).
% 8.48/6.08 tff(14402,plain,
% 8.48/6.08 ((~(v129(constB56, bitIndex0) <=> v127(constB55, bitIndex0))) | (~v129(constB56, bitIndex0)) | v127(constB55, bitIndex0)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14403,plain,
% 8.48/6.08 (~v129(constB56, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14402, 14401, 14388])).
% 8.48/6.08 tff(14404,plain,
% 8.48/6.08 ((~(v90(constB56, bitIndex0) <=> v129(constB56, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14405,plain,
% 8.48/6.08 (~v90(constB56, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14404, 14403, 14384])).
% 8.48/6.08 tff(14406,plain,
% 8.48/6.08 ((~(v90(constB57, bitIndex0) <=> v90(constB56, bitIndex0))) | (~v90(constB57, bitIndex0)) | v90(constB56, bitIndex0)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14407,plain,
% 8.48/6.08 (~v90(constB57, bitIndex0)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14406, 14405, 14380])).
% 8.48/6.08 tff(14408,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14409,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14410,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB57, B) <=> v90(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 8.48/6.08 tff(14411,plain,
% 8.48/6.08 (v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14410, 375, 7052])).
% 8.48/6.08 tff(14412,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14413,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | ((~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14414,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB56, B) <=> v129(constB56, B)))) | (~less_3(bitIndex1)) | (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 8.48/6.08 tff(14415,plain,
% 8.48/6.08 (v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14414, 375, 14336])).
% 8.48/6.08 tff(14416,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14417,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | ((~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14418,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB56, B) <=> v127(constB55, B)))) | (~less_3(bitIndex1)) | (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 8.48/6.08 tff(14419,plain,
% 8.48/6.08 (v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14418, 375, 14344])).
% 8.48/6.08 tff(14420,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14421,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | ((~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14422,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB55, B) <=> v130(constB55, B)))) | (~less_3(bitIndex1)) | (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14421, 14420])).
% 8.48/6.08 tff(14423,plain,
% 8.48/6.08 (v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14422, 375, 14352])).
% 8.48/6.08 tff(14424,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b100(bitIndex1)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14425,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b100(bitIndex1)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14426,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v130(constB55, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB55, bitIndex1) <=> b100(bitIndex1))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14425, 14424])).
% 8.48/6.08 tff(14427,plain,
% 8.48/6.08 (v130(constB55, bitIndex1) <=> b100(bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14426, 375, 14361])).
% 8.48/6.08 tff(14428,plain,
% 8.48/6.08 ((~(v130(constB55, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB55, bitIndex1)) | b100(bitIndex1)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14429,plain,
% 8.48/6.08 ((~(v130(constB55, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB55, bitIndex1))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14428, 10463])).
% 8.48/6.08 tff(14430,plain,
% 8.48/6.08 (~v130(constB55, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14429, 14427])).
% 8.48/6.08 tff(14431,plain,
% 8.48/6.08 ((~(v127(constB55, bitIndex1) <=> v130(constB55, bitIndex1))) | (~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14432,plain,
% 8.48/6.08 (~v127(constB55, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14431, 14430, 14423])).
% 8.48/6.08 tff(14433,plain,
% 8.48/6.08 ((~(v129(constB56, bitIndex1) <=> v127(constB55, bitIndex1))) | (~v129(constB56, bitIndex1)) | v127(constB55, bitIndex1)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14434,plain,
% 8.48/6.08 (~v129(constB56, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14433, 14432, 14419])).
% 8.48/6.08 tff(14435,plain,
% 8.48/6.08 ((~(v90(constB56, bitIndex1) <=> v129(constB56, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14436,plain,
% 8.48/6.08 (~v90(constB56, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14435, 14434, 14415])).
% 8.48/6.08 tff(14437,plain,
% 8.48/6.08 ((~(v90(constB57, bitIndex1) <=> v90(constB56, bitIndex1))) | (~v90(constB57, bitIndex1)) | v90(constB56, bitIndex1)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14438,plain,
% 8.48/6.08 (~v90(constB57, bitIndex1)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14437, 14436, 14411])).
% 8.48/6.08 tff(14439,plain,
% 8.48/6.08 ((~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))) | (~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14440,plain,
% 8.48/6.08 (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14439, 14438, 14407, 14376])).
% 8.48/6.08 tff(14441,plain,
% 8.48/6.08 ((~(v123(constB57) <=> (~((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))))) | v123(constB57) | ((~v90(constB57, bitIndex2)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14442,plain,
% 8.48/6.08 (v123(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14441, 14440, 7024])).
% 8.48/6.08 tff(14443,plain,
% 8.48/6.08 ((v116(constB57) | v123(constB57)) | (~v123(constB57))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14444,plain,
% 8.48/6.08 (v116(constB57) | v123(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14443, 14442])).
% 8.48/6.08 tff(14445,plain,
% 8.48/6.08 ((~(v115(constB57) <=> (v116(constB57) | v123(constB57)))) | v115(constB57) | (~(v116(constB57) | v123(constB57)))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14446,plain,
% 8.48/6.08 (v115(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14445, 14444, 7017])).
% 8.48/6.08 tff(14447,plain,
% 8.48/6.08 ((v115(constB57) | v124(constB57)) | (~v115(constB57))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14448,plain,
% 8.48/6.08 (v115(constB57) | v124(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14447, 14446])).
% 8.48/6.08 tff(14449,plain,
% 8.48/6.08 ((~(v114(constB57) <=> (v115(constB57) | v124(constB57)))) | v114(constB57) | (~(v115(constB57) | v124(constB57)))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14450,plain,
% 8.48/6.08 (v114(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14449, 14448, 7015])).
% 8.48/6.08 tff(14451,plain,
% 8.48/6.08 ((v114(constB57) | v125(constB57)) | (~v114(constB57))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14452,plain,
% 8.48/6.08 (v114(constB57) | v125(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14451, 14450])).
% 8.48/6.08 tff(14453,plain,
% 8.48/6.08 ((~(v113(constB57) <=> (v114(constB57) | v125(constB57)))) | v113(constB57) | (~(v114(constB57) | v125(constB57)))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14454,plain,
% 8.48/6.08 (v113(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14453, 14452, 7013])).
% 8.48/6.08 tff(14455,plain,
% 8.48/6.08 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB57)) <=> v111(constB57))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14456,plain,
% 8.48/6.08 ((~v126(constB57)) <=> v111(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14455, 9720])).
% 8.48/6.08 tff(14457,plain,
% 8.48/6.08 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB57) <=> v26(constB57))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14458,plain,
% 8.48/6.08 (v111(constB57) <=> v26(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14457, 9732])).
% 8.48/6.08 tff(14459,plain,
% 8.48/6.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14460,plain,
% 8.48/6.08 (~v26(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14459, 9744])).
% 8.48/6.08 tff(14461,plain,
% 8.48/6.08 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57)) | v26(constB57)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14462,plain,
% 8.48/6.08 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14461, 14460])).
% 8.48/6.08 tff(14463,plain,
% 8.48/6.08 (~v111(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14462, 14458])).
% 8.48/6.08 tff(14464,plain,
% 8.48/6.08 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57) | v111(constB57)),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14465,plain,
% 8.48/6.08 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14464, 14463])).
% 8.48/6.08 tff(14466,plain,
% 8.48/6.08 (v126(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14465, 14456])).
% 8.48/6.08 tff(14467,plain,
% 8.48/6.08 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57)) | (~v126(constB57))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14468,plain,
% 8.48/6.08 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14467, 14466])).
% 8.48/6.08 tff(14469,plain,
% 8.48/6.08 (~((~v113(constB57)) | (~v126(constB57)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14468, 14454])).
% 8.48/6.08 tff(14470,plain,
% 8.48/6.08 ((~(v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))) | v112(constB57) | ((~v113(constB57)) | (~v126(constB57)))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14471,plain,
% 8.48/6.08 (v112(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14470, 14469, 7011])).
% 8.48/6.08 tff(14472,plain,
% 8.48/6.08 ((v111(constB57) | v112(constB57)) | (~v112(constB57))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14473,plain,
% 8.48/6.08 (v111(constB57) | v112(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14472, 14471])).
% 8.48/6.08 tff(14474,plain,
% 8.48/6.08 ((~(v108(constB57) <=> (v111(constB57) | v112(constB57)))) | v108(constB57) | (~(v111(constB57) | v112(constB57)))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14475,plain,
% 8.48/6.08 (v108(constB57)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14474, 14473, 7009])).
% 8.48/6.08 tff(14476,plain,
% 8.48/6.08 ((~(v110(constB58) <=> v108(constB57))) | v110(constB58) | (~v108(constB57))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14477,plain,
% 8.48/6.08 (v110(constB58)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14476, 14475, 7007])).
% 8.48/6.08 tff(14478,plain,
% 8.48/6.08 ((~((~v101(constB58)) | (~v110(constB58)))) | (~v101(constB58)) | (~v110(constB58))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14479,plain,
% 8.48/6.08 (~((~v101(constB58)) | (~v110(constB58)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14478, 14477, 7003])).
% 8.48/6.08 tff(14480,plain,
% 8.48/6.08 ((~(v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))) | v100(constB58) | ((~v101(constB58)) | (~v110(constB58)))),
% 8.48/6.08 inference(tautology,[status(thm)],[])).
% 8.48/6.08 tff(14481,plain,
% 8.48/6.08 (v100(constB58)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14480, 14479, 6972])).
% 8.48/6.08 tff(14482,plain,
% 8.48/6.08 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B))))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14483,plain,
% 8.48/6.08 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B))))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14484,plain,
% 8.48/6.08 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14483, 14482])).
% 8.48/6.08 tff(14485,plain,
% 8.48/6.08 ((~v100(constB58)) | ![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14484, 9780])).
% 8.48/6.08 tff(14486,plain,
% 8.48/6.08 (![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14485, 14481])).
% 8.48/6.08 tff(14487,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14488,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14489,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex2)) | (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14488, 14487])).
% 8.48/6.08 tff(14490,plain,
% 8.48/6.08 (v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14489, 648, 14486])).
% 8.48/6.08 tff(14491,plain,
% 8.48/6.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B))))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14492,plain,
% 8.48/6.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B))))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14493,plain,
% 8.48/6.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 8.48/6.08 tff(14494,plain,
% 8.48/6.08 (![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14493, 6968, 9802])).
% 8.48/6.08 tff(14495,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14496,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14497,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex2)) | (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14496, 14495])).
% 8.48/6.08 tff(14498,plain,
% 8.48/6.08 (v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14497, 648, 14494])).
% 8.48/6.08 tff(14499,plain,
% 8.48/6.08 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB57) | ![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB57) | ![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B))))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14500,plain,
% 8.48/6.08 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB57) | ![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B))))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14501,plain,
% 8.48/6.08 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB57) | ![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14500, 14499])).
% 8.48/6.08 tff(14502,plain,
% 8.48/6.08 (![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14501, 9823, 14463])).
% 8.48/6.08 tff(14503,plain,
% 8.48/6.08 (((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14504,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14505,plain,
% 8.48/6.08 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex2)) | (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2))),
% 8.48/6.08 inference(modus_ponens,[status(thm)],[14504, 14503])).
% 8.48/6.08 tff(14506,plain,
% 8.48/6.08 (v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2)),
% 8.48/6.08 inference(unit_resolution,[status(thm)],[14505, 648, 14502])).
% 8.48/6.08 tff(14507,plain,
% 8.48/6.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B))))),
% 8.48/6.08 inference(rewrite,[status(thm)],[])).
% 8.48/6.08 tff(14508,plain,
% 8.48/6.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B))))),
% 8.48/6.08 inference(quant_inst,[status(thm)],[])).
% 8.48/6.08 tff(14509,plain,
% 8.48/6.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 8.48/6.09 tff(14510,plain,
% 8.48/6.09 ((~v123(constB57)) | ![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14509, 10555])).
% 8.48/6.09 tff(14511,plain,
% 8.48/6.09 (![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14510, 14442])).
% 8.48/6.09 tff(14512,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b101(bitIndex2)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14513,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b101(bitIndex2)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14514,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB57, bitIndex2) <=> b101(bitIndex2))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14513, 14512])).
% 8.48/6.09 tff(14515,plain,
% 8.48/6.09 (v130(constB57, bitIndex2) <=> b101(bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14514, 648, 14511])).
% 8.48/6.09 tff(14516,plain,
% 8.48/6.09 ((~(v130(constB57, bitIndex2) <=> b101(bitIndex2))) | v130(constB57, bitIndex2) | (~b101(bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14517,plain,
% 8.48/6.09 ((~(v130(constB57, bitIndex2) <=> b101(bitIndex2))) | v130(constB57, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14516, 10567])).
% 8.48/6.09 tff(14518,plain,
% 8.48/6.09 (v130(constB57, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14517, 14515])).
% 8.48/6.09 tff(14519,plain,
% 8.48/6.09 ((~(v127(constB57, bitIndex2) <=> v130(constB57, bitIndex2))) | v127(constB57, bitIndex2) | (~v130(constB57, bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14520,plain,
% 8.48/6.09 (v127(constB57, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14519, 14518, 14506])).
% 8.48/6.09 tff(14521,plain,
% 8.48/6.09 ((~(v129(constB58, bitIndex2) <=> v127(constB57, bitIndex2))) | v129(constB58, bitIndex2) | (~v127(constB57, bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14522,plain,
% 8.48/6.09 (v129(constB58, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14521, 14520, 14498])).
% 8.48/6.09 tff(14523,plain,
% 8.48/6.09 ((~(v90(constB58, bitIndex2) <=> v129(constB58, bitIndex2))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14524,plain,
% 8.48/6.09 (v90(constB58, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14523, 14522, 14490])).
% 8.48/6.09 tff(14525,plain,
% 8.48/6.09 ((~(v90(constB59, bitIndex2) <=> v90(constB58, bitIndex2))) | v90(constB59, bitIndex2) | (~v90(constB58, bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14526,plain,
% 8.48/6.09 (v90(constB59, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14525, 14524, 6965])).
% 8.48/6.09 tff(14527,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14528,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14529,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14528, 14527])).
% 8.48/6.09 tff(14530,plain,
% 8.48/6.09 (v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14529, 9653, 6961])).
% 8.48/6.09 tff(14531,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14532,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14533,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex0)) | (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14532, 14531])).
% 8.48/6.09 tff(14534,plain,
% 8.48/6.09 (v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14533, 9653, 14486])).
% 8.48/6.09 tff(14535,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14536,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14537,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex0)) | (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14536, 14535])).
% 8.48/6.09 tff(14538,plain,
% 8.48/6.09 (v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14537, 9653, 14494])).
% 8.48/6.09 tff(14539,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14540,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14541,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex0)) | (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 8.48/6.09 tff(14542,plain,
% 8.48/6.09 (v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14541, 9653, 14502])).
% 8.48/6.09 tff(14543,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b101(bitIndex0)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14544,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b101(bitIndex0)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14545,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB57, bitIndex0) <=> b101(bitIndex0))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14544, 14543])).
% 8.48/6.09 tff(14546,plain,
% 8.48/6.09 (v130(constB57, bitIndex0) <=> b101(bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14545, 9653, 14511])).
% 8.48/6.09 tff(14547,plain,
% 8.48/6.09 ((~(v130(constB57, bitIndex0) <=> b101(bitIndex0))) | v130(constB57, bitIndex0) | (~b101(bitIndex0))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14548,plain,
% 8.48/6.09 ((~(v130(constB57, bitIndex0) <=> b101(bitIndex0))) | v130(constB57, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14547, 10601])).
% 8.48/6.09 tff(14549,plain,
% 8.48/6.09 (v130(constB57, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14548, 14546])).
% 8.48/6.09 tff(14550,plain,
% 8.48/6.09 ((~(v127(constB57, bitIndex0) <=> v130(constB57, bitIndex0))) | v127(constB57, bitIndex0) | (~v130(constB57, bitIndex0))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14551,plain,
% 8.48/6.09 (v127(constB57, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14550, 14549, 14542])).
% 8.48/6.09 tff(14552,plain,
% 8.48/6.09 ((~(v129(constB58, bitIndex0) <=> v127(constB57, bitIndex0))) | v129(constB58, bitIndex0) | (~v127(constB57, bitIndex0))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14553,plain,
% 8.48/6.09 (v129(constB58, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14552, 14551, 14538])).
% 8.48/6.09 tff(14554,plain,
% 8.48/6.09 ((~(v90(constB58, bitIndex0) <=> v129(constB58, bitIndex0))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14555,plain,
% 8.48/6.09 (v90(constB58, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14554, 14553, 14534])).
% 8.48/6.09 tff(14556,plain,
% 8.48/6.09 ((~(v90(constB59, bitIndex0) <=> v90(constB58, bitIndex0))) | v90(constB59, bitIndex0) | (~v90(constB58, bitIndex0))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14557,plain,
% 8.48/6.09 (v90(constB59, bitIndex0)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14556, 14555, 14530])).
% 8.48/6.09 tff(14558,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14559,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14560,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB59, B) <=> v90(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14559, 14558])).
% 8.48/6.09 tff(14561,plain,
% 8.48/6.09 (v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14560, 375, 6961])).
% 8.48/6.09 tff(14562,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14563,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | ((~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14564,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB58, B) <=> v129(constB58, B)))) | (~less_3(bitIndex1)) | (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14563, 14562])).
% 8.48/6.09 tff(14565,plain,
% 8.48/6.09 (v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14564, 375, 14486])).
% 8.48/6.09 tff(14566,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14567,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | ((~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14568,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB58, B) <=> v127(constB57, B)))) | (~less_3(bitIndex1)) | (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14567, 14566])).
% 8.48/6.09 tff(14569,plain,
% 8.48/6.09 (v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14568, 375, 14494])).
% 8.48/6.09 tff(14570,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14571,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | ((~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14572,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB57, B) <=> v130(constB57, B)))) | (~less_3(bitIndex1)) | (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14571, 14570])).
% 8.48/6.09 tff(14573,plain,
% 8.48/6.09 (v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14572, 375, 14502])).
% 8.48/6.09 tff(14574,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b101(bitIndex1)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14575,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b101(bitIndex1)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14576,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB57, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB57, bitIndex1) <=> b101(bitIndex1))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14575, 14574])).
% 8.48/6.09 tff(14577,plain,
% 8.48/6.09 (v130(constB57, bitIndex1) <=> b101(bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14576, 375, 14511])).
% 8.48/6.09 tff(14578,plain,
% 8.48/6.09 ((~(v130(constB57, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB57, bitIndex1)) | b101(bitIndex1)),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14579,plain,
% 8.48/6.09 ((~(v130(constB57, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB57, bitIndex1))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14578, 10635])).
% 8.48/6.09 tff(14580,plain,
% 8.48/6.09 (~v130(constB57, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14579, 14577])).
% 8.48/6.09 tff(14581,plain,
% 8.48/6.09 ((~(v127(constB57, bitIndex1) <=> v130(constB57, bitIndex1))) | (~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14582,plain,
% 8.48/6.09 (~v127(constB57, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14581, 14580, 14573])).
% 8.48/6.09 tff(14583,plain,
% 8.48/6.09 ((~(v129(constB58, bitIndex1) <=> v127(constB57, bitIndex1))) | (~v129(constB58, bitIndex1)) | v127(constB57, bitIndex1)),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14584,plain,
% 8.48/6.09 (~v129(constB58, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14583, 14582, 14569])).
% 8.48/6.09 tff(14585,plain,
% 8.48/6.09 ((~(v90(constB58, bitIndex1) <=> v129(constB58, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1)),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14586,plain,
% 8.48/6.09 (~v90(constB58, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14585, 14584, 14565])).
% 8.48/6.09 tff(14587,plain,
% 8.48/6.09 ((~(v90(constB59, bitIndex1) <=> v90(constB58, bitIndex1))) | (~v90(constB59, bitIndex1)) | v90(constB58, bitIndex1)),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14588,plain,
% 8.48/6.09 (~v90(constB59, bitIndex1)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14587, 14586, 14561])).
% 8.48/6.09 tff(14589,plain,
% 8.48/6.09 ((~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))) | (~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14590,plain,
% 8.48/6.09 (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14589, 14588, 14557, 14526])).
% 8.48/6.09 tff(14591,plain,
% 8.48/6.09 ((~(v124(constB59) <=> (~((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))))) | v124(constB59) | ((~v90(constB59, bitIndex2)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14592,plain,
% 8.48/6.09 (v124(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14591, 14590, 6933])).
% 8.48/6.09 tff(14593,plain,
% 8.48/6.09 ((v115(constB59) | v124(constB59)) | (~v124(constB59))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14594,plain,
% 8.48/6.09 (v115(constB59) | v124(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14593, 14592])).
% 8.48/6.09 tff(14595,plain,
% 8.48/6.09 ((~(v114(constB59) <=> (v115(constB59) | v124(constB59)))) | v114(constB59) | (~(v115(constB59) | v124(constB59)))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14596,plain,
% 8.48/6.09 (v114(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14595, 14594, 6926])).
% 8.48/6.09 tff(14597,plain,
% 8.48/6.09 ((v114(constB59) | v125(constB59)) | (~v114(constB59))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14598,plain,
% 8.48/6.09 (v114(constB59) | v125(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14597, 14596])).
% 8.48/6.09 tff(14599,plain,
% 8.48/6.09 ((~(v113(constB59) <=> (v114(constB59) | v125(constB59)))) | v113(constB59) | (~(v114(constB59) | v125(constB59)))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14600,plain,
% 8.48/6.09 (v113(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14599, 14598, 6924])).
% 8.48/6.09 tff(14601,plain,
% 8.48/6.09 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB59)) <=> v111(constB59))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14602,plain,
% 8.48/6.09 ((~v126(constB59)) <=> v111(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14601, 9720])).
% 8.48/6.09 tff(14603,plain,
% 8.48/6.09 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB59) <=> v26(constB59))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14604,plain,
% 8.48/6.09 (v111(constB59) <=> v26(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14603, 9732])).
% 8.48/6.09 tff(14605,plain,
% 8.48/6.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14606,plain,
% 8.48/6.09 (~v26(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14605, 9744])).
% 8.48/6.09 tff(14607,plain,
% 8.48/6.09 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59)) | v26(constB59)),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14608,plain,
% 8.48/6.09 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14607, 14606])).
% 8.48/6.09 tff(14609,plain,
% 8.48/6.09 (~v111(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14608, 14604])).
% 8.48/6.09 tff(14610,plain,
% 8.48/6.09 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59) | v111(constB59)),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14611,plain,
% 8.48/6.09 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14610, 14609])).
% 8.48/6.09 tff(14612,plain,
% 8.48/6.09 (v126(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14611, 14602])).
% 8.48/6.09 tff(14613,plain,
% 8.48/6.09 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59)) | (~v126(constB59))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14614,plain,
% 8.48/6.09 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14613, 14612])).
% 8.48/6.09 tff(14615,plain,
% 8.48/6.09 (~((~v113(constB59)) | (~v126(constB59)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14614, 14600])).
% 8.48/6.09 tff(14616,plain,
% 8.48/6.09 ((~(v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))) | v112(constB59) | ((~v113(constB59)) | (~v126(constB59)))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14617,plain,
% 8.48/6.09 (v112(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14616, 14615, 6922])).
% 8.48/6.09 tff(14618,plain,
% 8.48/6.09 ((v111(constB59) | v112(constB59)) | (~v112(constB59))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14619,plain,
% 8.48/6.09 (v111(constB59) | v112(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14618, 14617])).
% 8.48/6.09 tff(14620,plain,
% 8.48/6.09 ((~(v108(constB59) <=> (v111(constB59) | v112(constB59)))) | v108(constB59) | (~(v111(constB59) | v112(constB59)))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14621,plain,
% 8.48/6.09 (v108(constB59)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14620, 14619, 6920])).
% 8.48/6.09 tff(14622,plain,
% 8.48/6.09 ((~(v110(constB60) <=> v108(constB59))) | v110(constB60) | (~v108(constB59))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14623,plain,
% 8.48/6.09 (v110(constB60)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14622, 14621, 6918])).
% 8.48/6.09 tff(14624,plain,
% 8.48/6.09 ((~((~v101(constB60)) | (~v110(constB60)))) | (~v101(constB60)) | (~v110(constB60))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14625,plain,
% 8.48/6.09 (~((~v101(constB60)) | (~v110(constB60)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14624, 14623, 6914])).
% 8.48/6.09 tff(14626,plain,
% 8.48/6.09 ((~(v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))) | v100(constB60) | ((~v101(constB60)) | (~v110(constB60)))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14627,plain,
% 8.48/6.09 (v100(constB60)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14626, 14625, 6883])).
% 8.48/6.09 tff(14628,plain,
% 8.48/6.09 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B))))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14629,plain,
% 8.48/6.09 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B))))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14630,plain,
% 8.48/6.09 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14629, 14628])).
% 8.48/6.09 tff(14631,plain,
% 8.48/6.09 ((~v100(constB60)) | ![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14630, 9780])).
% 8.48/6.09 tff(14632,plain,
% 8.48/6.09 (![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14631, 14627])).
% 8.48/6.09 tff(14633,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14634,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14635,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex2)) | (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14634, 14633])).
% 8.48/6.09 tff(14636,plain,
% 8.48/6.09 (v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14635, 648, 14632])).
% 8.48/6.09 tff(14637,plain,
% 8.48/6.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B))))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14638,plain,
% 8.48/6.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B))))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14639,plain,
% 8.48/6.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 8.48/6.09 tff(14640,plain,
% 8.48/6.09 (![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14639, 6879, 9802])).
% 8.48/6.09 tff(14641,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14642,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14643,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex2)) | (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 8.48/6.09 tff(14644,plain,
% 8.48/6.09 (v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14643, 648, 14640])).
% 8.48/6.09 tff(14645,plain,
% 8.48/6.09 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB59) | ![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB59) | ![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B))))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14646,plain,
% 8.48/6.09 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB59) | ![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B))))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14647,plain,
% 8.48/6.09 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB59) | ![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14646, 14645])).
% 8.48/6.09 tff(14648,plain,
% 8.48/6.09 (![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14647, 9823, 14609])).
% 8.48/6.09 tff(14649,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14650,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14651,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex2)) | (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14650, 14649])).
% 8.48/6.09 tff(14652,plain,
% 8.48/6.09 (v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14651, 648, 14648])).
% 8.48/6.09 tff(14653,plain,
% 8.48/6.09 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B))))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14654,plain,
% 8.48/6.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B))))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14655,plain,
% 8.48/6.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14654, 14653])).
% 8.48/6.09 tff(14656,plain,
% 8.48/6.09 ((~v124(constB59)) | ![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14655, 10723])).
% 8.48/6.09 tff(14657,plain,
% 8.48/6.09 (![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14656, 14592])).
% 8.48/6.09 tff(14658,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b110(bitIndex2)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14659,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b110(bitIndex2)))),
% 8.48/6.09 inference(quant_inst,[status(thm)],[])).
% 8.48/6.09 tff(14660,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB59, bitIndex2) <=> b110(bitIndex2))),
% 8.48/6.09 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 8.48/6.09 tff(14661,plain,
% 8.48/6.09 (v130(constB59, bitIndex2) <=> b110(bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14660, 648, 14657])).
% 8.48/6.09 tff(14662,plain,
% 8.48/6.09 ((~(v130(constB59, bitIndex2) <=> b110(bitIndex2))) | v130(constB59, bitIndex2) | (~b110(bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14663,plain,
% 8.48/6.09 ((~(v130(constB59, bitIndex2) <=> b110(bitIndex2))) | v130(constB59, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14662, 10735])).
% 8.48/6.09 tff(14664,plain,
% 8.48/6.09 (v130(constB59, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14663, 14661])).
% 8.48/6.09 tff(14665,plain,
% 8.48/6.09 ((~(v127(constB59, bitIndex2) <=> v130(constB59, bitIndex2))) | v127(constB59, bitIndex2) | (~v130(constB59, bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14666,plain,
% 8.48/6.09 (v127(constB59, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14665, 14664, 14652])).
% 8.48/6.09 tff(14667,plain,
% 8.48/6.09 ((~(v129(constB60, bitIndex2) <=> v127(constB59, bitIndex2))) | v129(constB60, bitIndex2) | (~v127(constB59, bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14668,plain,
% 8.48/6.09 (v129(constB60, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14667, 14666, 14644])).
% 8.48/6.09 tff(14669,plain,
% 8.48/6.09 ((~(v90(constB60, bitIndex2) <=> v129(constB60, bitIndex2))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14670,plain,
% 8.48/6.09 (v90(constB60, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14669, 14668, 14636])).
% 8.48/6.09 tff(14671,plain,
% 8.48/6.09 ((~(v90(constB61, bitIndex2) <=> v90(constB60, bitIndex2))) | v90(constB61, bitIndex2) | (~v90(constB60, bitIndex2))),
% 8.48/6.09 inference(tautology,[status(thm)],[])).
% 8.48/6.09 tff(14672,plain,
% 8.48/6.09 (v90(constB61, bitIndex2)),
% 8.48/6.09 inference(unit_resolution,[status(thm)],[14671, 14670, 6876])).
% 8.48/6.09 tff(14673,plain,
% 8.48/6.09 (((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)))),
% 8.48/6.09 inference(rewrite,[status(thm)],[])).
% 8.48/6.09 tff(14674,plain,
% 8.48/6.09 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14675,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14674, 14673])).
% 8.48/6.10 tff(14676,plain,
% 8.48/6.10 (v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14675, 9653, 6872])).
% 8.48/6.10 tff(14677,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14678,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14679,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex0)) | (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14678, 14677])).
% 8.48/6.10 tff(14680,plain,
% 8.48/6.10 (v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14679, 9653, 14632])).
% 8.48/6.10 tff(14681,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14682,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14683,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex0)) | (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14682, 14681])).
% 8.48/6.10 tff(14684,plain,
% 8.48/6.10 (v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14683, 9653, 14640])).
% 8.48/6.10 tff(14685,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14686,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14687,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex0)) | (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14686, 14685])).
% 8.48/6.10 tff(14688,plain,
% 8.48/6.10 (v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14687, 9653, 14648])).
% 8.48/6.10 tff(14689,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b110(bitIndex0)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14690,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b110(bitIndex0)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14691,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB59, bitIndex0) <=> b110(bitIndex0))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14690, 14689])).
% 8.48/6.10 tff(14692,plain,
% 8.48/6.10 (v130(constB59, bitIndex0) <=> b110(bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14691, 9653, 14657])).
% 8.48/6.10 tff(14693,plain,
% 8.48/6.10 ((~(v130(constB59, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB59, bitIndex0)) | b110(bitIndex0)),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14694,plain,
% 8.48/6.10 ((~(v130(constB59, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB59, bitIndex0))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14693, 10769])).
% 8.48/6.10 tff(14695,plain,
% 8.48/6.10 (~v130(constB59, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14694, 14692])).
% 8.48/6.10 tff(14696,plain,
% 8.48/6.10 ((~(v127(constB59, bitIndex0) <=> v130(constB59, bitIndex0))) | (~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14697,plain,
% 8.48/6.10 (~v127(constB59, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14696, 14695, 14688])).
% 8.48/6.10 tff(14698,plain,
% 8.48/6.10 ((~(v129(constB60, bitIndex0) <=> v127(constB59, bitIndex0))) | (~v129(constB60, bitIndex0)) | v127(constB59, bitIndex0)),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14699,plain,
% 8.48/6.10 (~v129(constB60, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14698, 14697, 14684])).
% 8.48/6.10 tff(14700,plain,
% 8.48/6.10 ((~(v90(constB60, bitIndex0) <=> v129(constB60, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0)),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14701,plain,
% 8.48/6.10 (~v90(constB60, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14700, 14699, 14680])).
% 8.48/6.10 tff(14702,plain,
% 8.48/6.10 ((~(v90(constB61, bitIndex0) <=> v90(constB60, bitIndex0))) | (~v90(constB61, bitIndex0)) | v90(constB60, bitIndex0)),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14703,plain,
% 8.48/6.10 (~v90(constB61, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14702, 14701, 14676])).
% 8.48/6.10 tff(14704,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14705,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14706,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB61, B) <=> v90(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14705, 14704])).
% 8.48/6.10 tff(14707,plain,
% 8.48/6.10 (v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14706, 375, 6872])).
% 8.48/6.10 tff(14708,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14709,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | ((~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14710,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB60, B) <=> v129(constB60, B)))) | (~less_3(bitIndex1)) | (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14709, 14708])).
% 8.48/6.10 tff(14711,plain,
% 8.48/6.10 (v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14710, 375, 14632])).
% 8.48/6.10 tff(14712,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14713,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | ((~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14714,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB60, B) <=> v127(constB59, B)))) | (~less_3(bitIndex1)) | (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14713, 14712])).
% 8.48/6.10 tff(14715,plain,
% 8.48/6.10 (v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14714, 375, 14640])).
% 8.48/6.10 tff(14716,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14717,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | ((~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14718,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB59, B) <=> v130(constB59, B)))) | (~less_3(bitIndex1)) | (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14717, 14716])).
% 8.48/6.10 tff(14719,plain,
% 8.48/6.10 (v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14718, 375, 14648])).
% 8.48/6.10 tff(14720,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b110(bitIndex1)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14721,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b110(bitIndex1)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14722,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v130(constB59, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB59, bitIndex1) <=> b110(bitIndex1))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14721, 14720])).
% 8.48/6.10 tff(14723,plain,
% 8.48/6.10 (v130(constB59, bitIndex1) <=> b110(bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14722, 375, 14657])).
% 8.48/6.10 tff(14724,plain,
% 8.48/6.10 ((~(v130(constB59, bitIndex1) <=> b110(bitIndex1))) | v130(constB59, bitIndex1) | (~b110(bitIndex1))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14725,plain,
% 8.48/6.10 ((~(v130(constB59, bitIndex1) <=> b110(bitIndex1))) | v130(constB59, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14724, 10803])).
% 8.48/6.10 tff(14726,plain,
% 8.48/6.10 (v130(constB59, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14725, 14723])).
% 8.48/6.10 tff(14727,plain,
% 8.48/6.10 ((~(v127(constB59, bitIndex1) <=> v130(constB59, bitIndex1))) | v127(constB59, bitIndex1) | (~v130(constB59, bitIndex1))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14728,plain,
% 8.48/6.10 (v127(constB59, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14727, 14726, 14719])).
% 8.48/6.10 tff(14729,plain,
% 8.48/6.10 ((~(v129(constB60, bitIndex1) <=> v127(constB59, bitIndex1))) | v129(constB60, bitIndex1) | (~v127(constB59, bitIndex1))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14730,plain,
% 8.48/6.10 (v129(constB60, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14729, 14728, 14715])).
% 8.48/6.10 tff(14731,plain,
% 8.48/6.10 ((~(v90(constB60, bitIndex1) <=> v129(constB60, bitIndex1))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14732,plain,
% 8.48/6.10 (v90(constB60, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14731, 14730, 14711])).
% 8.48/6.10 tff(14733,plain,
% 8.48/6.10 ((~(v90(constB61, bitIndex1) <=> v90(constB60, bitIndex1))) | v90(constB61, bitIndex1) | (~v90(constB60, bitIndex1))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14734,plain,
% 8.48/6.10 (v90(constB61, bitIndex1)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14733, 14732, 14707])).
% 8.48/6.10 tff(14735,plain,
% 8.48/6.10 ((~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14736,plain,
% 8.48/6.10 (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14735, 14734, 14703, 14672])).
% 8.48/6.10 tff(14737,plain,
% 8.48/6.10 ((~(v125(constB61) <=> (~((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))) | v125(constB61) | ((~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14738,plain,
% 8.48/6.10 (v125(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14737, 14736, 6844])).
% 8.48/6.10 tff(14739,plain,
% 8.48/6.10 ((v114(constB61) | v125(constB61)) | (~v125(constB61))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14740,plain,
% 8.48/6.10 (v114(constB61) | v125(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14739, 14738])).
% 8.48/6.10 tff(14741,plain,
% 8.48/6.10 ((~(v113(constB61) <=> (v114(constB61) | v125(constB61)))) | v113(constB61) | (~(v114(constB61) | v125(constB61)))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14742,plain,
% 8.48/6.10 (v113(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14741, 14740, 6837])).
% 8.48/6.10 tff(14743,plain,
% 8.48/6.10 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB61)) <=> v111(constB61))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14744,plain,
% 8.48/6.10 ((~v126(constB61)) <=> v111(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14743, 9720])).
% 8.48/6.10 tff(14745,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB61) <=> v26(constB61))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14746,plain,
% 8.48/6.10 (v111(constB61) <=> v26(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14745, 9732])).
% 8.48/6.10 tff(14747,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14748,plain,
% 8.48/6.10 (~v26(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14747, 9744])).
% 8.48/6.10 tff(14749,plain,
% 8.48/6.10 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61)) | v26(constB61)),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14750,plain,
% 8.48/6.10 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14749, 14748])).
% 8.48/6.10 tff(14751,plain,
% 8.48/6.10 (~v111(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14750, 14746])).
% 8.48/6.10 tff(14752,plain,
% 8.48/6.10 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61) | v111(constB61)),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14753,plain,
% 8.48/6.10 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14752, 14751])).
% 8.48/6.10 tff(14754,plain,
% 8.48/6.10 (v126(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14753, 14744])).
% 8.48/6.10 tff(14755,plain,
% 8.48/6.10 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61)) | (~v126(constB61))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14756,plain,
% 8.48/6.10 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14755, 14754])).
% 8.48/6.10 tff(14757,plain,
% 8.48/6.10 (~((~v113(constB61)) | (~v126(constB61)))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14756, 14742])).
% 8.48/6.10 tff(14758,plain,
% 8.48/6.10 ((~(v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))) | v112(constB61) | ((~v113(constB61)) | (~v126(constB61)))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14759,plain,
% 8.48/6.10 (v112(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14758, 14757, 6835])).
% 8.48/6.10 tff(14760,plain,
% 8.48/6.10 ((v111(constB61) | v112(constB61)) | (~v112(constB61))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14761,plain,
% 8.48/6.10 (v111(constB61) | v112(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14760, 14759])).
% 8.48/6.10 tff(14762,plain,
% 8.48/6.10 ((~(v108(constB61) <=> (v111(constB61) | v112(constB61)))) | v108(constB61) | (~(v111(constB61) | v112(constB61)))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14763,plain,
% 8.48/6.10 (v108(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14762, 14761, 6833])).
% 8.48/6.10 tff(14764,plain,
% 8.48/6.10 ((~(v110(constB62) <=> v108(constB61))) | v110(constB62) | (~v108(constB61))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14765,plain,
% 8.48/6.10 (v110(constB62)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14764, 14763, 6831])).
% 8.48/6.10 tff(14766,plain,
% 8.48/6.10 ((~((~v101(constB62)) | (~v110(constB62)))) | (~v101(constB62)) | (~v110(constB62))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14767,plain,
% 8.48/6.10 (~((~v101(constB62)) | (~v110(constB62)))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14766, 14765, 6827])).
% 8.48/6.10 tff(14768,plain,
% 8.48/6.10 ((~(v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))) | v100(constB62) | ((~v101(constB62)) | (~v110(constB62)))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14769,plain,
% 8.48/6.10 (v100(constB62)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14768, 14767, 6796])).
% 8.48/6.10 tff(14770,plain,
% 8.48/6.10 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B))))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14771,plain,
% 8.48/6.10 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B))))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14772,plain,
% 8.48/6.10 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 8.48/6.10 tff(14773,plain,
% 8.48/6.10 ((~v100(constB62)) | ![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14772, 9780])).
% 8.48/6.10 tff(14774,plain,
% 8.48/6.10 (![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14773, 14769])).
% 8.48/6.10 tff(14775,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14776,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14777,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex2)) | (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 8.48/6.10 tff(14778,plain,
% 8.48/6.10 (v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14777, 648, 14774])).
% 8.48/6.10 tff(14779,plain,
% 8.48/6.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B))))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14780,plain,
% 8.48/6.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B))))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14781,plain,
% 8.48/6.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 8.48/6.10 tff(14782,plain,
% 8.48/6.10 (![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14781, 6792, 9802])).
% 8.48/6.10 tff(14783,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14784,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14785,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex2)) | (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14784, 14783])).
% 8.48/6.10 tff(14786,plain,
% 8.48/6.10 (v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14785, 648, 14782])).
% 8.48/6.10 tff(14787,plain,
% 8.48/6.10 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB61) | ![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB61) | ![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B))))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14788,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB61) | ![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B))))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14789,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB61) | ![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14788, 14787])).
% 8.48/6.10 tff(14790,plain,
% 8.48/6.10 (![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14789, 9823, 14751])).
% 8.48/6.10 tff(14791,plain,
% 8.48/6.10 (((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14792,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14793,plain,
% 8.48/6.10 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex2)) | (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14792, 14791])).
% 8.48/6.10 tff(14794,plain,
% 8.48/6.10 (v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14793, 648, 14790])).
% 8.48/6.10 tff(14795,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14796,plain,
% 8.48/6.10 (v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14795, 9620])).
% 8.48/6.10 tff(14797,plain,
% 8.48/6.10 ((v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex2))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14798,plain,
% 8.48/6.10 (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14797, 14672])).
% 8.48/6.10 tff(14799,plain,
% 8.48/6.10 ((~(v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))))) | (~v119(constB61)) | (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14800,plain,
% 8.48/6.10 (~v119(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14799, 14798, 14796])).
% 8.48/6.10 tff(14801,plain,
% 8.48/6.10 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14802,plain,
% 8.48/6.10 ((v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2))))) <=> (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14803,plain,
% 8.48/6.10 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.10 inference(monotonicity,[status(thm)],[14802])).
% 8.48/6.10 tff(14804,plain,
% 8.48/6.10 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.10 inference(transitivity,[status(thm)],[14803, 14801])).
% 8.48/6.10 tff(14805,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2)))))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14806,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 8.48/6.10 tff(14807,plain,
% 8.48/6.10 (v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14806, 815])).
% 8.48/6.10 tff(14808,plain,
% 8.48/6.10 (((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex1))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14809,plain,
% 8.48/6.10 ((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14808, 14734])).
% 8.48/6.10 tff(14810,plain,
% 8.48/6.10 ((~(v124(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))) | (~v124(constB61)) | (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14811,plain,
% 8.48/6.10 (~v124(constB61)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14810, 14809, 14807])).
% 8.48/6.10 tff(14812,plain,
% 8.48/6.10 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)))))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14813,plain,
% 8.48/6.10 ((v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2))))) <=> (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0))))),
% 8.48/6.10 inference(rewrite,[status(thm)],[])).
% 8.48/6.10 tff(14814,plain,
% 8.48/6.10 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)))))),
% 8.48/6.10 inference(monotonicity,[status(thm)],[14813])).
% 8.48/6.10 tff(14815,plain,
% 8.48/6.10 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)))))),
% 8.48/6.10 inference(transitivity,[status(thm)],[14814, 14812])).
% 8.48/6.10 tff(14816,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)))))),
% 8.48/6.10 inference(quant_inst,[status(thm)],[])).
% 8.48/6.10 tff(14817,plain,
% 8.48/6.10 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0))))),
% 8.48/6.10 inference(modus_ponens,[status(thm)],[14816, 14815])).
% 8.48/6.10 tff(14818,plain,
% 8.48/6.10 (v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)))),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14817, 919])).
% 8.48/6.10 tff(14819,plain,
% 8.48/6.10 (((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.10 tff(14820,plain,
% 8.48/6.10 ((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)),
% 8.48/6.10 inference(unit_resolution,[status(thm)],[14819, 14734])).
% 8.48/6.10 tff(14821,plain,
% 8.48/6.10 ((~(v123(constB61) <=> (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0))))) | (~v123(constB61)) | (~((~v90(constB61, bitIndex2)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex0)))),
% 8.48/6.10 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14822,plain,
% 8.48/6.11 (~v123(constB61)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14821, 14820, 14818])).
% 8.48/6.11 tff(14823,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14824,plain,
% 8.48/6.11 ((v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1))))) <=> (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14825,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.11 inference(monotonicity,[status(thm)],[14824])).
% 8.48/6.11 tff(14826,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.11 inference(transitivity,[status(thm)],[14825, 14823])).
% 8.48/6.11 tff(14827,plain,
% 8.48/6.11 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14828,plain,
% 8.48/6.11 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14827, 14826])).
% 8.48/6.11 tff(14829,plain,
% 8.48/6.11 (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14828, 1025])).
% 8.48/6.11 tff(14830,plain,
% 8.48/6.11 ((v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex2))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14831,plain,
% 8.48/6.11 (v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14830, 14672])).
% 8.48/6.11 tff(14832,plain,
% 8.48/6.11 ((~(v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))) | (~v122(constB61)) | (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14833,plain,
% 8.48/6.11 (~v122(constB61)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14832, 14831, 14829])).
% 8.48/6.11 tff(14834,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14835,plain,
% 8.48/6.11 ((v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1))))) <=> (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14836,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))))),
% 8.48/6.11 inference(monotonicity,[status(thm)],[14835])).
% 8.48/6.11 tff(14837,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))))),
% 8.48/6.11 inference(transitivity,[status(thm)],[14836, 14834])).
% 8.48/6.11 tff(14838,plain,
% 8.48/6.11 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)))))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14839,plain,
% 8.48/6.11 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 8.48/6.11 tff(14840,plain,
% 8.48/6.11 (v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14839, 1133])).
% 8.48/6.11 tff(14841,plain,
% 8.48/6.11 ((v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14842,plain,
% 8.48/6.11 (v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14841, 14672])).
% 8.48/6.11 tff(14843,plain,
% 8.48/6.11 ((~(v121(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0))))) | (~v121(constB61)) | (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex0)))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14844,plain,
% 8.48/6.11 (~v121(constB61)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14843, 14842, 14840])).
% 8.48/6.11 tff(14845,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14846,plain,
% 8.48/6.11 ((v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0))))) <=> (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14847,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.11 inference(monotonicity,[status(thm)],[14846])).
% 8.48/6.11 tff(14848,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))))),
% 8.48/6.11 inference(transitivity,[status(thm)],[14847, 14845])).
% 8.48/6.11 tff(14849,plain,
% 8.48/6.11 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)))))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14850,plain,
% 8.48/6.11 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14849, 14848])).
% 8.48/6.11 tff(14851,plain,
% 8.48/6.11 (v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14850, 610])).
% 8.48/6.11 tff(14852,plain,
% 8.48/6.11 ((v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex2))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14853,plain,
% 8.48/6.11 (v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14852, 14672])).
% 8.48/6.11 tff(14854,plain,
% 8.48/6.11 ((~(v120(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)))))) | (~v120(constB61)) | (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0))))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14855,plain,
% 8.48/6.11 (~v120(constB61)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14854, 14853, 14851])).
% 8.48/6.11 tff(14856,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14857,plain,
% 8.48/6.11 ((v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) <=> (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14858,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))))),
% 8.48/6.11 inference(monotonicity,[status(thm)],[14857])).
% 8.48/6.11 tff(14859,plain,
% 8.48/6.11 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))),
% 8.48/6.11 inference(transitivity,[status(thm)],[14858, 14856])).
% 8.48/6.11 tff(14860,plain,
% 8.48/6.11 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B))))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14861,plain,
% 8.48/6.11 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14860, 14859])).
% 8.48/6.11 tff(14862,plain,
% 8.48/6.11 (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | ![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14861, 10951])).
% 8.48/6.11 tff(14863,plain,
% 8.48/6.11 (![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14862, 14855, 14844, 14833, 14822, 14811, 14800])).
% 8.48/6.11 tff(14864,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b001(bitIndex2)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14865,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b001(bitIndex2)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14866,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB61, bitIndex2) <=> b001(bitIndex2))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14865, 14864])).
% 8.48/6.11 tff(14867,plain,
% 8.48/6.11 (v130(constB61, bitIndex2) <=> b001(bitIndex2)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14866, 648, 14863])).
% 8.48/6.11 tff(14868,plain,
% 8.48/6.11 ((~(v130(constB61, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB61, bitIndex2)) | b001(bitIndex2)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14869,plain,
% 8.48/6.11 ((~(v130(constB61, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB61, bitIndex2))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14868, 9855])).
% 8.48/6.11 tff(14870,plain,
% 8.48/6.11 (~v130(constB61, bitIndex2)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14869, 14867])).
% 8.48/6.11 tff(14871,plain,
% 8.48/6.11 ((~(v127(constB61, bitIndex2) <=> v130(constB61, bitIndex2))) | (~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14872,plain,
% 8.48/6.11 (~v127(constB61, bitIndex2)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14871, 14870, 14794])).
% 8.48/6.11 tff(14873,plain,
% 8.48/6.11 ((~(v129(constB62, bitIndex2) <=> v127(constB61, bitIndex2))) | (~v129(constB62, bitIndex2)) | v127(constB61, bitIndex2)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14874,plain,
% 8.48/6.11 (~v129(constB62, bitIndex2)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14873, 14872, 14786])).
% 8.48/6.11 tff(14875,plain,
% 8.48/6.11 ((~(v90(constB62, bitIndex2) <=> v129(constB62, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14876,plain,
% 8.48/6.11 (~v90(constB62, bitIndex2)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14875, 14874, 14778])).
% 8.48/6.11 tff(14877,plain,
% 8.48/6.11 ((~(v90(constB63, bitIndex2) <=> v90(constB62, bitIndex2))) | (~v90(constB63, bitIndex2)) | v90(constB62, bitIndex2)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14878,plain,
% 8.48/6.11 (~v90(constB63, bitIndex2)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14877, 14876, 6789])).
% 8.48/6.11 tff(14879,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14880,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14881,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14880, 14879])).
% 8.48/6.11 tff(14882,plain,
% 8.48/6.11 (v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14881, 9653, 6785])).
% 8.48/6.11 tff(14883,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14884,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14885,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex0)) | (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 8.48/6.11 tff(14886,plain,
% 8.48/6.11 (v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14885, 9653, 14774])).
% 8.48/6.11 tff(14887,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14888,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14889,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex0)) | (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14888, 14887])).
% 8.48/6.11 tff(14890,plain,
% 8.48/6.11 (v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14889, 9653, 14782])).
% 8.48/6.11 tff(14891,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14892,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14893,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex0)) | (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14892, 14891])).
% 8.48/6.11 tff(14894,plain,
% 8.48/6.11 (v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14893, 9653, 14790])).
% 8.48/6.11 tff(14895,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b001(bitIndex0)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14896,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b001(bitIndex0)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14897,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB61, bitIndex0) <=> b001(bitIndex0))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14896, 14895])).
% 8.48/6.11 tff(14898,plain,
% 8.48/6.11 (v130(constB61, bitIndex0) <=> b001(bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14897, 9653, 14863])).
% 8.48/6.11 tff(14899,plain,
% 8.48/6.11 ((~(v130(constB61, bitIndex0) <=> b001(bitIndex0))) | v130(constB61, bitIndex0) | (~b001(bitIndex0))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14900,plain,
% 8.48/6.11 ((~(v130(constB61, bitIndex0) <=> b001(bitIndex0))) | v130(constB61, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14899, 9889])).
% 8.48/6.11 tff(14901,plain,
% 8.48/6.11 (v130(constB61, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14900, 14898])).
% 8.48/6.11 tff(14902,plain,
% 8.48/6.11 ((~(v127(constB61, bitIndex0) <=> v130(constB61, bitIndex0))) | v127(constB61, bitIndex0) | (~v130(constB61, bitIndex0))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14903,plain,
% 8.48/6.11 (v127(constB61, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14902, 14901, 14894])).
% 8.48/6.11 tff(14904,plain,
% 8.48/6.11 ((~(v129(constB62, bitIndex0) <=> v127(constB61, bitIndex0))) | v129(constB62, bitIndex0) | (~v127(constB61, bitIndex0))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14905,plain,
% 8.48/6.11 (v129(constB62, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14904, 14903, 14890])).
% 8.48/6.11 tff(14906,plain,
% 8.48/6.11 ((~(v90(constB62, bitIndex0) <=> v129(constB62, bitIndex0))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14907,plain,
% 8.48/6.11 (v90(constB62, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14906, 14905, 14886])).
% 8.48/6.11 tff(14908,plain,
% 8.48/6.11 ((~(v90(constB63, bitIndex0) <=> v90(constB62, bitIndex0))) | v90(constB63, bitIndex0) | (~v90(constB62, bitIndex0))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14909,plain,
% 8.48/6.11 (v90(constB63, bitIndex0)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14908, 14907, 14882])).
% 8.48/6.11 tff(14910,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14911,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14912,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB63, B) <=> v90(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14911, 14910])).
% 8.48/6.11 tff(14913,plain,
% 8.48/6.11 (v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14912, 375, 6785])).
% 8.48/6.11 tff(14914,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14915,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | ((~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14916,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v90(constB62, B) <=> v129(constB62, B)))) | (~less_3(bitIndex1)) | (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14915, 14914])).
% 8.48/6.11 tff(14917,plain,
% 8.48/6.11 (v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14916, 375, 14774])).
% 8.48/6.11 tff(14918,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14919,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | ((~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14920,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v129(constB62, B) <=> v127(constB61, B)))) | (~less_3(bitIndex1)) | (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14919, 14918])).
% 8.48/6.11 tff(14921,plain,
% 8.48/6.11 (v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14920, 375, 14782])).
% 8.48/6.11 tff(14922,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14923,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | ((~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14924,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v127(constB61, B) <=> v130(constB61, B)))) | (~less_3(bitIndex1)) | (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14923, 14922])).
% 8.48/6.11 tff(14925,plain,
% 8.48/6.11 (v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14924, 375, 14790])).
% 8.48/6.11 tff(14926,plain,
% 8.48/6.11 (((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b001(bitIndex1)))),
% 8.48/6.11 inference(rewrite,[status(thm)],[])).
% 8.48/6.11 tff(14927,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b001(bitIndex1)))),
% 8.48/6.11 inference(quant_inst,[status(thm)],[])).
% 8.48/6.11 tff(14928,plain,
% 8.48/6.11 ((~![B: $i] : ((~less_3(B)) | (v130(constB61, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB61, bitIndex1) <=> b001(bitIndex1))),
% 8.48/6.11 inference(modus_ponens,[status(thm)],[14927, 14926])).
% 8.48/6.11 tff(14929,plain,
% 8.48/6.11 (v130(constB61, bitIndex1) <=> b001(bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14928, 375, 14863])).
% 8.48/6.11 tff(14930,plain,
% 8.48/6.11 ((~(v130(constB61, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB61, bitIndex1)) | b001(bitIndex1)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14931,plain,
% 8.48/6.11 ((~(v130(constB61, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB61, bitIndex1))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14930, 9923])).
% 8.48/6.11 tff(14932,plain,
% 8.48/6.11 (~v130(constB61, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14931, 14929])).
% 8.48/6.11 tff(14933,plain,
% 8.48/6.11 ((~(v127(constB61, bitIndex1) <=> v130(constB61, bitIndex1))) | (~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14934,plain,
% 8.48/6.11 (~v127(constB61, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14933, 14932, 14925])).
% 8.48/6.11 tff(14935,plain,
% 8.48/6.11 ((~(v129(constB62, bitIndex1) <=> v127(constB61, bitIndex1))) | (~v129(constB62, bitIndex1)) | v127(constB61, bitIndex1)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14936,plain,
% 8.48/6.11 (~v129(constB62, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14935, 14934, 14921])).
% 8.48/6.11 tff(14937,plain,
% 8.48/6.11 ((~(v90(constB62, bitIndex1) <=> v129(constB62, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14938,plain,
% 8.48/6.11 (~v90(constB62, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14937, 14936, 14917])).
% 8.48/6.11 tff(14939,plain,
% 8.48/6.11 ((~(v90(constB63, bitIndex1) <=> v90(constB62, bitIndex1))) | (~v90(constB63, bitIndex1)) | v90(constB62, bitIndex1)),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14940,plain,
% 8.48/6.11 (~v90(constB63, bitIndex1)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14939, 14938, 14913])).
% 8.48/6.11 tff(14941,plain,
% 8.48/6.11 ((~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))) | v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14942,plain,
% 8.48/6.11 (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14941, 14940, 14909, 14878])).
% 8.48/6.11 tff(14943,plain,
% 8.48/6.11 ((~(v120(constB63) <=> (~(v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))))) | v120(constB63) | (v90(constB63, bitIndex2) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex0)))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14944,plain,
% 8.48/6.11 (v120(constB63)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14943, 14942, 6757])).
% 8.48/6.11 tff(14945,plain,
% 8.48/6.11 ((v119(constB63) | v120(constB63)) | (~v120(constB63))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14946,plain,
% 8.48/6.11 (v119(constB63) | v120(constB63)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14945, 14944])).
% 8.48/6.11 tff(14947,plain,
% 8.48/6.11 ((~(v118(constB63) <=> (v119(constB63) | v120(constB63)))) | v118(constB63) | (~(v119(constB63) | v120(constB63)))),
% 8.48/6.11 inference(tautology,[status(thm)],[])).
% 8.48/6.11 tff(14948,plain,
% 8.48/6.11 (v118(constB63)),
% 8.48/6.11 inference(unit_resolution,[status(thm)],[14947, 14946, 6750])).
% 8.48/6.11 tff(14949,plain,
% 8.48/6.11 ((v118(constB63) | v121(constB63)) | (~v118(constB63))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14950,plain,
% 8.48/6.12 (v118(constB63) | v121(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14949, 14948])).
% 8.48/6.12 tff(14951,plain,
% 8.48/6.12 ((~(v117(constB63) <=> (v118(constB63) | v121(constB63)))) | v117(constB63) | (~(v118(constB63) | v121(constB63)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14952,plain,
% 8.48/6.12 (v117(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14951, 14950, 6748])).
% 8.48/6.12 tff(14953,plain,
% 8.48/6.12 ((v117(constB63) | v122(constB63)) | (~v117(constB63))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14954,plain,
% 8.48/6.12 (v117(constB63) | v122(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14953, 14952])).
% 8.48/6.12 tff(14955,plain,
% 8.48/6.12 ((~(v116(constB63) <=> (v117(constB63) | v122(constB63)))) | v116(constB63) | (~(v117(constB63) | v122(constB63)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14956,plain,
% 8.48/6.12 (v116(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14955, 14954, 6746])).
% 8.48/6.12 tff(14957,plain,
% 8.48/6.12 ((v116(constB63) | v123(constB63)) | (~v116(constB63))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14958,plain,
% 8.48/6.12 (v116(constB63) | v123(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14957, 14956])).
% 8.48/6.12 tff(14959,plain,
% 8.48/6.12 ((~(v115(constB63) <=> (v116(constB63) | v123(constB63)))) | v115(constB63) | (~(v116(constB63) | v123(constB63)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14960,plain,
% 8.48/6.12 (v115(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14959, 14958, 6744])).
% 8.48/6.12 tff(14961,plain,
% 8.48/6.12 ((v115(constB63) | v124(constB63)) | (~v115(constB63))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14962,plain,
% 8.48/6.12 (v115(constB63) | v124(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14961, 14960])).
% 8.48/6.12 tff(14963,plain,
% 8.48/6.12 ((~(v114(constB63) <=> (v115(constB63) | v124(constB63)))) | v114(constB63) | (~(v115(constB63) | v124(constB63)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14964,plain,
% 8.48/6.12 (v114(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14963, 14962, 6742])).
% 8.48/6.12 tff(14965,plain,
% 8.48/6.12 ((v114(constB63) | v125(constB63)) | (~v114(constB63))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14966,plain,
% 8.48/6.12 (v114(constB63) | v125(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14965, 14964])).
% 8.48/6.12 tff(14967,plain,
% 8.48/6.12 ((~(v113(constB63) <=> (v114(constB63) | v125(constB63)))) | v113(constB63) | (~(v114(constB63) | v125(constB63)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14968,plain,
% 8.48/6.12 (v113(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14967, 14966, 6740])).
% 8.48/6.12 tff(14969,plain,
% 8.48/6.12 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB63)) <=> v111(constB63))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(14970,plain,
% 8.48/6.12 ((~v126(constB63)) <=> v111(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14969, 9720])).
% 8.48/6.12 tff(14971,plain,
% 8.48/6.12 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB63) <=> v26(constB63))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(14972,plain,
% 8.48/6.12 (v111(constB63) <=> v26(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14971, 9732])).
% 8.48/6.12 tff(14973,plain,
% 8.48/6.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(14974,plain,
% 8.48/6.12 (~v26(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14973, 9744])).
% 8.48/6.12 tff(14975,plain,
% 8.48/6.12 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63)) | v26(constB63)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14976,plain,
% 8.48/6.12 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14975, 14974])).
% 8.48/6.12 tff(14977,plain,
% 8.48/6.12 (~v111(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14976, 14972])).
% 8.48/6.12 tff(14978,plain,
% 8.48/6.12 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63) | v111(constB63)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14979,plain,
% 8.48/6.12 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14978, 14977])).
% 8.48/6.12 tff(14980,plain,
% 8.48/6.12 (v126(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14979, 14970])).
% 8.48/6.12 tff(14981,plain,
% 8.48/6.12 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63)) | (~v126(constB63))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14982,plain,
% 8.48/6.12 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14981, 14980])).
% 8.48/6.12 tff(14983,plain,
% 8.48/6.12 (~((~v113(constB63)) | (~v126(constB63)))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14982, 14968])).
% 8.48/6.12 tff(14984,plain,
% 8.48/6.12 ((~(v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))) | v112(constB63) | ((~v113(constB63)) | (~v126(constB63)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14985,plain,
% 8.48/6.12 (v112(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14984, 14983, 6738])).
% 8.48/6.12 tff(14986,plain,
% 8.48/6.12 ((v111(constB63) | v112(constB63)) | (~v112(constB63))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14987,plain,
% 8.48/6.12 (v111(constB63) | v112(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14986, 14985])).
% 8.48/6.12 tff(14988,plain,
% 8.48/6.12 ((~(v108(constB63) <=> (v111(constB63) | v112(constB63)))) | v108(constB63) | (~(v111(constB63) | v112(constB63)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14989,plain,
% 8.48/6.12 (v108(constB63)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14988, 14987, 6736])).
% 8.48/6.12 tff(14990,plain,
% 8.48/6.12 ((~(v110(constB64) <=> v108(constB63))) | v110(constB64) | (~v108(constB63))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14991,plain,
% 8.48/6.12 (v110(constB64)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14990, 14989, 6734])).
% 8.48/6.12 tff(14992,plain,
% 8.48/6.12 ((~((~v101(constB64)) | (~v110(constB64)))) | (~v101(constB64)) | (~v110(constB64))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14993,plain,
% 8.48/6.12 (~((~v101(constB64)) | (~v110(constB64)))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14992, 14991, 6730])).
% 8.48/6.12 tff(14994,plain,
% 8.48/6.12 ((~(v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))) | v100(constB64) | ((~v101(constB64)) | (~v110(constB64)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(14995,plain,
% 8.48/6.12 (v100(constB64)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14994, 14993, 6699])).
% 8.48/6.12 tff(14996,plain,
% 8.48/6.12 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B))))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(14997,plain,
% 8.48/6.12 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B))))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(14998,plain,
% 8.48/6.12 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[14997, 14996])).
% 8.48/6.12 tff(14999,plain,
% 8.48/6.12 ((~v100(constB64)) | ![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14998, 9780])).
% 8.48/6.12 tff(15000,plain,
% 8.48/6.12 (![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[14999, 14995])).
% 8.48/6.12 tff(15001,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15002,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15003,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex2)) | (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15002, 15001])).
% 8.48/6.12 tff(15004,plain,
% 8.48/6.12 (v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15003, 648, 15000])).
% 8.48/6.12 tff(15005,plain,
% 8.48/6.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B))))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15006,plain,
% 8.48/6.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B))))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15007,plain,
% 8.48/6.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 8.48/6.12 tff(15008,plain,
% 8.48/6.12 (![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15007, 6695, 9802])).
% 8.48/6.12 tff(15009,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15010,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15011,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex2)) | (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15010, 15009])).
% 8.48/6.12 tff(15012,plain,
% 8.48/6.12 (v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15011, 648, 15008])).
% 8.48/6.12 tff(15013,plain,
% 8.48/6.12 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB63) | ![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB63) | ![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B))))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15014,plain,
% 8.48/6.12 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB63) | ![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B))))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15015,plain,
% 8.48/6.12 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB63) | ![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15014, 15013])).
% 8.48/6.12 tff(15016,plain,
% 8.48/6.12 (![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15015, 9823, 14977])).
% 8.48/6.12 tff(15017,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15018,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15019,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex2)) | (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15018, 15017])).
% 8.48/6.12 tff(15020,plain,
% 8.48/6.12 (v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15019, 648, 15016])).
% 8.48/6.12 tff(15021,plain,
% 8.48/6.12 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B))))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15022,plain,
% 8.48/6.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B))))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15023,plain,
% 8.48/6.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15022, 15021])).
% 8.48/6.12 tff(15024,plain,
% 8.48/6.12 ((~v120(constB63)) | ![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15023, 10027])).
% 8.48/6.12 tff(15025,plain,
% 8.48/6.12 (![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15024, 14944])).
% 8.48/6.12 tff(15026,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b010(bitIndex2)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15027,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b010(bitIndex2)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15028,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB63, bitIndex2) <=> b010(bitIndex2))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15027, 15026])).
% 8.48/6.12 tff(15029,plain,
% 8.48/6.12 (v130(constB63, bitIndex2) <=> b010(bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15028, 648, 15025])).
% 8.48/6.12 tff(15030,plain,
% 8.48/6.12 ((~(v130(constB63, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB63, bitIndex2)) | b010(bitIndex2)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15031,plain,
% 8.48/6.12 ((~(v130(constB63, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB63, bitIndex2))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15030, 10039])).
% 8.48/6.12 tff(15032,plain,
% 8.48/6.12 (~v130(constB63, bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15031, 15029])).
% 8.48/6.12 tff(15033,plain,
% 8.48/6.12 ((~(v127(constB63, bitIndex2) <=> v130(constB63, bitIndex2))) | (~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15034,plain,
% 8.48/6.12 (~v127(constB63, bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15033, 15032, 15020])).
% 8.48/6.12 tff(15035,plain,
% 8.48/6.12 ((~(v129(constB64, bitIndex2) <=> v127(constB63, bitIndex2))) | (~v129(constB64, bitIndex2)) | v127(constB63, bitIndex2)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15036,plain,
% 8.48/6.12 (~v129(constB64, bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15035, 15034, 15012])).
% 8.48/6.12 tff(15037,plain,
% 8.48/6.12 ((~(v90(constB64, bitIndex2) <=> v129(constB64, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15038,plain,
% 8.48/6.12 (~v90(constB64, bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15037, 15036, 15004])).
% 8.48/6.12 tff(15039,plain,
% 8.48/6.12 ((~(v90(constB65, bitIndex2) <=> v90(constB64, bitIndex2))) | (~v90(constB65, bitIndex2)) | v90(constB64, bitIndex2)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15040,plain,
% 8.48/6.12 (~v90(constB65, bitIndex2)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15039, 15038, 6692])).
% 8.48/6.12 tff(15041,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15042,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15043,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15042, 15041])).
% 8.48/6.12 tff(15044,plain,
% 8.48/6.12 (v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15043, 9653, 6688])).
% 8.48/6.12 tff(15045,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15046,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15047,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex0)) | (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15046, 15045])).
% 8.48/6.12 tff(15048,plain,
% 8.48/6.12 (v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15047, 9653, 15000])).
% 8.48/6.12 tff(15049,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15050,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15051,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex0)) | (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15050, 15049])).
% 8.48/6.12 tff(15052,plain,
% 8.48/6.12 (v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15051, 9653, 15008])).
% 8.48/6.12 tff(15053,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15054,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15055,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex0)) | (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15054, 15053])).
% 8.48/6.12 tff(15056,plain,
% 8.48/6.12 (v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15055, 9653, 15016])).
% 8.48/6.12 tff(15057,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b010(bitIndex0)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15058,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b010(bitIndex0)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15059,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB63, bitIndex0) <=> b010(bitIndex0))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15058, 15057])).
% 8.48/6.12 tff(15060,plain,
% 8.48/6.12 (v130(constB63, bitIndex0) <=> b010(bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15059, 9653, 15025])).
% 8.48/6.12 tff(15061,plain,
% 8.48/6.12 ((~(v130(constB63, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB63, bitIndex0)) | b010(bitIndex0)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15062,plain,
% 8.48/6.12 ((~(v130(constB63, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB63, bitIndex0))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15061, 10073])).
% 8.48/6.12 tff(15063,plain,
% 8.48/6.12 (~v130(constB63, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15062, 15060])).
% 8.48/6.12 tff(15064,plain,
% 8.48/6.12 ((~(v127(constB63, bitIndex0) <=> v130(constB63, bitIndex0))) | (~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15065,plain,
% 8.48/6.12 (~v127(constB63, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15064, 15063, 15056])).
% 8.48/6.12 tff(15066,plain,
% 8.48/6.12 ((~(v129(constB64, bitIndex0) <=> v127(constB63, bitIndex0))) | (~v129(constB64, bitIndex0)) | v127(constB63, bitIndex0)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15067,plain,
% 8.48/6.12 (~v129(constB64, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15066, 15065, 15052])).
% 8.48/6.12 tff(15068,plain,
% 8.48/6.12 ((~(v90(constB64, bitIndex0) <=> v129(constB64, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15069,plain,
% 8.48/6.12 (~v90(constB64, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15068, 15067, 15048])).
% 8.48/6.12 tff(15070,plain,
% 8.48/6.12 ((~(v90(constB65, bitIndex0) <=> v90(constB64, bitIndex0))) | (~v90(constB65, bitIndex0)) | v90(constB64, bitIndex0)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15071,plain,
% 8.48/6.12 (~v90(constB65, bitIndex0)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15070, 15069, 15044])).
% 8.48/6.12 tff(15072,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15073,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15074,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB65, B) <=> v90(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15073, 15072])).
% 8.48/6.12 tff(15075,plain,
% 8.48/6.12 (v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15074, 375, 6688])).
% 8.48/6.12 tff(15076,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15077,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | ((~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15078,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v90(constB64, B) <=> v129(constB64, B)))) | (~less_3(bitIndex1)) | (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15077, 15076])).
% 8.48/6.12 tff(15079,plain,
% 8.48/6.12 (v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15078, 375, 15000])).
% 8.48/6.12 tff(15080,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15081,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | ((~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15082,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v129(constB64, B) <=> v127(constB63, B)))) | (~less_3(bitIndex1)) | (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15081, 15080])).
% 8.48/6.12 tff(15083,plain,
% 8.48/6.12 (v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15082, 375, 15008])).
% 8.48/6.12 tff(15084,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15085,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | ((~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15086,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v127(constB63, B) <=> v130(constB63, B)))) | (~less_3(bitIndex1)) | (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15085, 15084])).
% 8.48/6.12 tff(15087,plain,
% 8.48/6.12 (v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15086, 375, 15016])).
% 8.48/6.12 tff(15088,plain,
% 8.48/6.12 (((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b010(bitIndex1)))),
% 8.48/6.12 inference(rewrite,[status(thm)],[])).
% 8.48/6.12 tff(15089,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b010(bitIndex1)))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15090,plain,
% 8.48/6.12 ((~![B: $i] : ((~less_3(B)) | (v130(constB63, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB63, bitIndex1) <=> b010(bitIndex1))),
% 8.48/6.12 inference(modus_ponens,[status(thm)],[15089, 15088])).
% 8.48/6.12 tff(15091,plain,
% 8.48/6.12 (v130(constB63, bitIndex1) <=> b010(bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15090, 375, 15025])).
% 8.48/6.12 tff(15092,plain,
% 8.48/6.12 ((~(v130(constB63, bitIndex1) <=> b010(bitIndex1))) | v130(constB63, bitIndex1) | (~b010(bitIndex1))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15093,plain,
% 8.48/6.12 ((~(v130(constB63, bitIndex1) <=> b010(bitIndex1))) | v130(constB63, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15092, 10107])).
% 8.48/6.12 tff(15094,plain,
% 8.48/6.12 (v130(constB63, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15093, 15091])).
% 8.48/6.12 tff(15095,plain,
% 8.48/6.12 ((~(v127(constB63, bitIndex1) <=> v130(constB63, bitIndex1))) | v127(constB63, bitIndex1) | (~v130(constB63, bitIndex1))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15096,plain,
% 8.48/6.12 (v127(constB63, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15095, 15094, 15087])).
% 8.48/6.12 tff(15097,plain,
% 8.48/6.12 ((~(v129(constB64, bitIndex1) <=> v127(constB63, bitIndex1))) | v129(constB64, bitIndex1) | (~v127(constB63, bitIndex1))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15098,plain,
% 8.48/6.12 (v129(constB64, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15097, 15096, 15083])).
% 8.48/6.12 tff(15099,plain,
% 8.48/6.12 ((~(v90(constB64, bitIndex1) <=> v129(constB64, bitIndex1))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15100,plain,
% 8.48/6.12 (v90(constB64, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15099, 15098, 15079])).
% 8.48/6.12 tff(15101,plain,
% 8.48/6.12 ((~(v90(constB65, bitIndex1) <=> v90(constB64, bitIndex1))) | v90(constB65, bitIndex1) | (~v90(constB64, bitIndex1))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15102,plain,
% 8.48/6.12 (v90(constB65, bitIndex1)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15101, 15100, 15075])).
% 8.48/6.12 tff(15103,plain,
% 8.48/6.12 ((~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0)),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15104,plain,
% 8.48/6.12 (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15103, 15102, 15071, 15040])).
% 8.48/6.12 tff(15105,plain,
% 8.48/6.12 ((~(v121(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))))) | v121(constB65) | (v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex0))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15106,plain,
% 8.48/6.12 (v121(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15105, 15104, 6660])).
% 8.48/6.12 tff(15107,plain,
% 8.48/6.12 ((v118(constB65) | v121(constB65)) | (~v121(constB65))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15108,plain,
% 8.48/6.12 (v118(constB65) | v121(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15107, 15106])).
% 8.48/6.12 tff(15109,plain,
% 8.48/6.12 ((~(v117(constB65) <=> (v118(constB65) | v121(constB65)))) | v117(constB65) | (~(v118(constB65) | v121(constB65)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15110,plain,
% 8.48/6.12 (v117(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15109, 15108, 6653])).
% 8.48/6.12 tff(15111,plain,
% 8.48/6.12 ((v117(constB65) | v122(constB65)) | (~v117(constB65))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15112,plain,
% 8.48/6.12 (v117(constB65) | v122(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15111, 15110])).
% 8.48/6.12 tff(15113,plain,
% 8.48/6.12 ((~(v116(constB65) <=> (v117(constB65) | v122(constB65)))) | v116(constB65) | (~(v117(constB65) | v122(constB65)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15114,plain,
% 8.48/6.12 (v116(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15113, 15112, 6651])).
% 8.48/6.12 tff(15115,plain,
% 8.48/6.12 ((v116(constB65) | v123(constB65)) | (~v116(constB65))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15116,plain,
% 8.48/6.12 (v116(constB65) | v123(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15115, 15114])).
% 8.48/6.12 tff(15117,plain,
% 8.48/6.12 ((~(v115(constB65) <=> (v116(constB65) | v123(constB65)))) | v115(constB65) | (~(v116(constB65) | v123(constB65)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15118,plain,
% 8.48/6.12 (v115(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15117, 15116, 6649])).
% 8.48/6.12 tff(15119,plain,
% 8.48/6.12 ((v115(constB65) | v124(constB65)) | (~v115(constB65))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15120,plain,
% 8.48/6.12 (v115(constB65) | v124(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15119, 15118])).
% 8.48/6.12 tff(15121,plain,
% 8.48/6.12 ((~(v114(constB65) <=> (v115(constB65) | v124(constB65)))) | v114(constB65) | (~(v115(constB65) | v124(constB65)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15122,plain,
% 8.48/6.12 (v114(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15121, 15120, 6647])).
% 8.48/6.12 tff(15123,plain,
% 8.48/6.12 ((v114(constB65) | v125(constB65)) | (~v114(constB65))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15124,plain,
% 8.48/6.12 (v114(constB65) | v125(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15123, 15122])).
% 8.48/6.12 tff(15125,plain,
% 8.48/6.12 ((~(v113(constB65) <=> (v114(constB65) | v125(constB65)))) | v113(constB65) | (~(v114(constB65) | v125(constB65)))),
% 8.48/6.12 inference(tautology,[status(thm)],[])).
% 8.48/6.12 tff(15126,plain,
% 8.48/6.12 (v113(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15125, 15124, 6645])).
% 8.48/6.12 tff(15127,plain,
% 8.48/6.12 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB65)) <=> v111(constB65))),
% 8.48/6.12 inference(quant_inst,[status(thm)],[])).
% 8.48/6.12 tff(15128,plain,
% 8.48/6.12 ((~v126(constB65)) <=> v111(constB65)),
% 8.48/6.12 inference(unit_resolution,[status(thm)],[15127, 9720])).
% 8.48/6.13 tff(15129,plain,
% 8.48/6.13 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB65) <=> v26(constB65))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15130,plain,
% 8.48/6.13 (v111(constB65) <=> v26(constB65)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15129, 9732])).
% 8.48/6.13 tff(15131,plain,
% 8.48/6.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15132,plain,
% 8.48/6.13 (~v26(constB65)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15131, 9744])).
% 8.48/6.13 tff(15133,plain,
% 8.48/6.13 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65)) | v26(constB65)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15134,plain,
% 8.48/6.13 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15133, 15132])).
% 8.48/6.13 tff(15135,plain,
% 8.48/6.13 (~v111(constB65)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15134, 15130])).
% 8.48/6.13 tff(15136,plain,
% 8.48/6.13 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65) | v111(constB65)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15137,plain,
% 8.48/6.13 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15136, 15135])).
% 8.48/6.13 tff(15138,plain,
% 8.48/6.13 (v126(constB65)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15137, 15128])).
% 8.48/6.13 tff(15139,plain,
% 8.48/6.13 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65)) | (~v126(constB65))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15140,plain,
% 8.48/6.13 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15139, 15138])).
% 8.48/6.13 tff(15141,plain,
% 8.48/6.13 (~((~v113(constB65)) | (~v126(constB65)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15140, 15126])).
% 8.48/6.13 tff(15142,plain,
% 8.48/6.13 ((~(v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))) | v112(constB65) | ((~v113(constB65)) | (~v126(constB65)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15143,plain,
% 8.48/6.13 (v112(constB65)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15142, 15141, 6643])).
% 8.48/6.13 tff(15144,plain,
% 8.48/6.13 ((v111(constB65) | v112(constB65)) | (~v112(constB65))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15145,plain,
% 8.48/6.13 (v111(constB65) | v112(constB65)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15144, 15143])).
% 8.48/6.13 tff(15146,plain,
% 8.48/6.13 ((~(v108(constB65) <=> (v111(constB65) | v112(constB65)))) | v108(constB65) | (~(v111(constB65) | v112(constB65)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15147,plain,
% 8.48/6.13 (v108(constB65)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15146, 15145, 6641])).
% 8.48/6.13 tff(15148,plain,
% 8.48/6.13 ((~(v110(constB66) <=> v108(constB65))) | v110(constB66) | (~v108(constB65))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15149,plain,
% 8.48/6.13 (v110(constB66)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15148, 15147, 6639])).
% 8.48/6.13 tff(15150,plain,
% 8.48/6.13 ((~((~v101(constB66)) | (~v110(constB66)))) | (~v101(constB66)) | (~v110(constB66))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15151,plain,
% 8.48/6.13 (~((~v101(constB66)) | (~v110(constB66)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15150, 15149, 6635])).
% 8.48/6.13 tff(15152,plain,
% 8.48/6.13 ((~(v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))) | v100(constB66) | ((~v101(constB66)) | (~v110(constB66)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15153,plain,
% 8.48/6.13 (v100(constB66)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15152, 15151, 6604])).
% 8.48/6.13 tff(15154,plain,
% 8.48/6.13 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B))))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15155,plain,
% 8.48/6.13 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B))))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15156,plain,
% 8.48/6.13 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 8.48/6.13 tff(15157,plain,
% 8.48/6.13 ((~v100(constB66)) | ![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15156, 9780])).
% 8.48/6.13 tff(15158,plain,
% 8.48/6.13 (![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15157, 15153])).
% 8.48/6.13 tff(15159,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15160,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15161,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex2)) | (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15160, 15159])).
% 8.48/6.13 tff(15162,plain,
% 8.48/6.13 (v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15161, 648, 15158])).
% 8.48/6.13 tff(15163,plain,
% 8.48/6.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B))))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15164,plain,
% 8.48/6.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B))))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15165,plain,
% 8.48/6.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15164, 15163])).
% 8.48/6.13 tff(15166,plain,
% 8.48/6.13 (![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15165, 6600, 9802])).
% 8.48/6.13 tff(15167,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15168,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15169,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex2)) | (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15168, 15167])).
% 8.48/6.13 tff(15170,plain,
% 8.48/6.13 (v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15169, 648, 15166])).
% 8.48/6.13 tff(15171,plain,
% 8.48/6.13 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB65) | ![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB65) | ![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B))))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15172,plain,
% 8.48/6.13 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB65) | ![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B))))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15173,plain,
% 8.48/6.13 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB65) | ![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15172, 15171])).
% 8.48/6.13 tff(15174,plain,
% 8.48/6.13 (![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15173, 9823, 15135])).
% 8.48/6.13 tff(15175,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15176,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15177,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex2)) | (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15176, 15175])).
% 8.48/6.13 tff(15178,plain,
% 8.48/6.13 (v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15177, 648, 15174])).
% 8.48/6.13 tff(15179,plain,
% 8.48/6.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB65)) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB65)) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B))))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15180,plain,
% 8.48/6.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB65)) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B))))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15181,plain,
% 8.48/6.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB65)) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15180, 15179])).
% 8.48/6.13 tff(15182,plain,
% 8.48/6.13 ((~v121(constB65)) | ![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15181, 10207])).
% 8.48/6.13 tff(15183,plain,
% 8.48/6.13 (![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15182, 15106])).
% 8.48/6.13 tff(15184,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b011(bitIndex2)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15185,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b011(bitIndex2)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15186,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB65, bitIndex2) <=> b011(bitIndex2))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15185, 15184])).
% 8.48/6.13 tff(15187,plain,
% 8.48/6.13 (v130(constB65, bitIndex2) <=> b011(bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15186, 648, 15183])).
% 8.48/6.13 tff(15188,plain,
% 8.48/6.13 ((~(v130(constB65, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB65, bitIndex2)) | b011(bitIndex2)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15189,plain,
% 8.48/6.13 ((~(v130(constB65, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB65, bitIndex2))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15188, 10219])).
% 8.48/6.13 tff(15190,plain,
% 8.48/6.13 (~v130(constB65, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15189, 15187])).
% 8.48/6.13 tff(15191,plain,
% 8.48/6.13 ((~(v127(constB65, bitIndex2) <=> v130(constB65, bitIndex2))) | (~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15192,plain,
% 8.48/6.13 (~v127(constB65, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15191, 15190, 15178])).
% 8.48/6.13 tff(15193,plain,
% 8.48/6.13 ((~(v129(constB66, bitIndex2) <=> v127(constB65, bitIndex2))) | (~v129(constB66, bitIndex2)) | v127(constB65, bitIndex2)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15194,plain,
% 8.48/6.13 (~v129(constB66, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15193, 15192, 15170])).
% 8.48/6.13 tff(15195,plain,
% 8.48/6.13 ((~(v90(constB66, bitIndex2) <=> v129(constB66, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15196,plain,
% 8.48/6.13 (~v90(constB66, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15195, 15194, 15162])).
% 8.48/6.13 tff(15197,plain,
% 8.48/6.13 ((~(v90(constB67, bitIndex2) <=> v90(constB66, bitIndex2))) | (~v90(constB67, bitIndex2)) | v90(constB66, bitIndex2)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15198,plain,
% 8.48/6.13 (~v90(constB67, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15197, 15196, 6597])).
% 8.48/6.13 tff(15199,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15200,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15201,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15200, 15199])).
% 8.48/6.13 tff(15202,plain,
% 8.48/6.13 (v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15201, 9653, 6593])).
% 8.48/6.13 tff(15203,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15204,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15205,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex0)) | (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15204, 15203])).
% 8.48/6.13 tff(15206,plain,
% 8.48/6.13 (v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15205, 9653, 15158])).
% 8.48/6.13 tff(15207,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15208,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15209,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex0)) | (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15208, 15207])).
% 8.48/6.13 tff(15210,plain,
% 8.48/6.13 (v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15209, 9653, 15166])).
% 8.48/6.13 tff(15211,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15212,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15213,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex0)) | (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15212, 15211])).
% 8.48/6.13 tff(15214,plain,
% 8.48/6.13 (v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15213, 9653, 15174])).
% 8.48/6.13 tff(15215,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b011(bitIndex0)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15216,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b011(bitIndex0)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15217,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB65, bitIndex0) <=> b011(bitIndex0))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15216, 15215])).
% 8.48/6.13 tff(15218,plain,
% 8.48/6.13 (v130(constB65, bitIndex0) <=> b011(bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15217, 9653, 15183])).
% 8.48/6.13 tff(15219,plain,
% 8.48/6.13 ((~(v130(constB65, bitIndex0) <=> b011(bitIndex0))) | v130(constB65, bitIndex0) | (~b011(bitIndex0))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15220,plain,
% 8.48/6.13 ((~(v130(constB65, bitIndex0) <=> b011(bitIndex0))) | v130(constB65, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15219, 10253])).
% 8.48/6.13 tff(15221,plain,
% 8.48/6.13 (v130(constB65, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15220, 15218])).
% 8.48/6.13 tff(15222,plain,
% 8.48/6.13 ((~(v127(constB65, bitIndex0) <=> v130(constB65, bitIndex0))) | v127(constB65, bitIndex0) | (~v130(constB65, bitIndex0))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15223,plain,
% 8.48/6.13 (v127(constB65, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15222, 15221, 15214])).
% 8.48/6.13 tff(15224,plain,
% 8.48/6.13 ((~(v129(constB66, bitIndex0) <=> v127(constB65, bitIndex0))) | v129(constB66, bitIndex0) | (~v127(constB65, bitIndex0))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15225,plain,
% 8.48/6.13 (v129(constB66, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15224, 15223, 15210])).
% 8.48/6.13 tff(15226,plain,
% 8.48/6.13 ((~(v90(constB66, bitIndex0) <=> v129(constB66, bitIndex0))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15227,plain,
% 8.48/6.13 (v90(constB66, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15226, 15225, 15206])).
% 8.48/6.13 tff(15228,plain,
% 8.48/6.13 ((~(v90(constB67, bitIndex0) <=> v90(constB66, bitIndex0))) | v90(constB67, bitIndex0) | (~v90(constB66, bitIndex0))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15229,plain,
% 8.48/6.13 (v90(constB67, bitIndex0)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15228, 15227, 15202])).
% 8.48/6.13 tff(15230,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15231,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15232,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB67, B) <=> v90(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15231, 15230])).
% 8.48/6.13 tff(15233,plain,
% 8.48/6.13 (v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15232, 375, 6593])).
% 8.48/6.13 tff(15234,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15235,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | ((~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15236,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB66, B) <=> v129(constB66, B)))) | (~less_3(bitIndex1)) | (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15235, 15234])).
% 8.48/6.13 tff(15237,plain,
% 8.48/6.13 (v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15236, 375, 15158])).
% 8.48/6.13 tff(15238,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15239,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | ((~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15240,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v129(constB66, B) <=> v127(constB65, B)))) | (~less_3(bitIndex1)) | (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15239, 15238])).
% 8.48/6.13 tff(15241,plain,
% 8.48/6.13 (v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15240, 375, 15166])).
% 8.48/6.13 tff(15242,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15243,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | ((~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15244,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v127(constB65, B) <=> v130(constB65, B)))) | (~less_3(bitIndex1)) | (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 8.48/6.13 tff(15245,plain,
% 8.48/6.13 (v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15244, 375, 15174])).
% 8.48/6.13 tff(15246,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b011(bitIndex1)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15247,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b011(bitIndex1)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15248,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v130(constB65, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB65, bitIndex1) <=> b011(bitIndex1))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15247, 15246])).
% 8.48/6.13 tff(15249,plain,
% 8.48/6.13 (v130(constB65, bitIndex1) <=> b011(bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15248, 375, 15183])).
% 8.48/6.13 tff(15250,plain,
% 8.48/6.13 ((~(v130(constB65, bitIndex1) <=> b011(bitIndex1))) | v130(constB65, bitIndex1) | (~b011(bitIndex1))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15251,plain,
% 8.48/6.13 ((~(v130(constB65, bitIndex1) <=> b011(bitIndex1))) | v130(constB65, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15250, 10287])).
% 8.48/6.13 tff(15252,plain,
% 8.48/6.13 (v130(constB65, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15251, 15249])).
% 8.48/6.13 tff(15253,plain,
% 8.48/6.13 ((~(v127(constB65, bitIndex1) <=> v130(constB65, bitIndex1))) | v127(constB65, bitIndex1) | (~v130(constB65, bitIndex1))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15254,plain,
% 8.48/6.13 (v127(constB65, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15253, 15252, 15245])).
% 8.48/6.13 tff(15255,plain,
% 8.48/6.13 ((~(v129(constB66, bitIndex1) <=> v127(constB65, bitIndex1))) | v129(constB66, bitIndex1) | (~v127(constB65, bitIndex1))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15256,plain,
% 8.48/6.13 (v129(constB66, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15255, 15254, 15241])).
% 8.48/6.13 tff(15257,plain,
% 8.48/6.13 ((~(v90(constB66, bitIndex1) <=> v129(constB66, bitIndex1))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15258,plain,
% 8.48/6.13 (v90(constB66, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15257, 15256, 15237])).
% 8.48/6.13 tff(15259,plain,
% 8.48/6.13 ((~(v90(constB67, bitIndex1) <=> v90(constB66, bitIndex1))) | v90(constB67, bitIndex1) | (~v90(constB66, bitIndex1))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15260,plain,
% 8.48/6.13 (v90(constB67, bitIndex1)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15259, 15258, 15233])).
% 8.48/6.13 tff(15261,plain,
% 8.48/6.13 ((~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15262,plain,
% 8.48/6.13 (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15261, 15260, 15229, 15198])).
% 8.48/6.13 tff(15263,plain,
% 8.48/6.13 ((~(v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))) | v122(constB67) | (v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15264,plain,
% 8.48/6.13 (v122(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15263, 15262, 6565])).
% 8.48/6.13 tff(15265,plain,
% 8.48/6.13 ((v117(constB67) | v122(constB67)) | (~v122(constB67))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15266,plain,
% 8.48/6.13 (v117(constB67) | v122(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15265, 15264])).
% 8.48/6.13 tff(15267,plain,
% 8.48/6.13 ((~(v116(constB67) <=> (v117(constB67) | v122(constB67)))) | v116(constB67) | (~(v117(constB67) | v122(constB67)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15268,plain,
% 8.48/6.13 (v116(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15267, 15266, 6558])).
% 8.48/6.13 tff(15269,plain,
% 8.48/6.13 ((v116(constB67) | v123(constB67)) | (~v116(constB67))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15270,plain,
% 8.48/6.13 (v116(constB67) | v123(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15269, 15268])).
% 8.48/6.13 tff(15271,plain,
% 8.48/6.13 ((~(v115(constB67) <=> (v116(constB67) | v123(constB67)))) | v115(constB67) | (~(v116(constB67) | v123(constB67)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15272,plain,
% 8.48/6.13 (v115(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15271, 15270, 6556])).
% 8.48/6.13 tff(15273,plain,
% 8.48/6.13 ((v115(constB67) | v124(constB67)) | (~v115(constB67))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15274,plain,
% 8.48/6.13 (v115(constB67) | v124(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15273, 15272])).
% 8.48/6.13 tff(15275,plain,
% 8.48/6.13 ((~(v114(constB67) <=> (v115(constB67) | v124(constB67)))) | v114(constB67) | (~(v115(constB67) | v124(constB67)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15276,plain,
% 8.48/6.13 (v114(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15275, 15274, 6554])).
% 8.48/6.13 tff(15277,plain,
% 8.48/6.13 ((v114(constB67) | v125(constB67)) | (~v114(constB67))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15278,plain,
% 8.48/6.13 (v114(constB67) | v125(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15277, 15276])).
% 8.48/6.13 tff(15279,plain,
% 8.48/6.13 ((~(v113(constB67) <=> (v114(constB67) | v125(constB67)))) | v113(constB67) | (~(v114(constB67) | v125(constB67)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15280,plain,
% 8.48/6.13 (v113(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15279, 15278, 6552])).
% 8.48/6.13 tff(15281,plain,
% 8.48/6.13 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB67)) <=> v111(constB67))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15282,plain,
% 8.48/6.13 ((~v126(constB67)) <=> v111(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15281, 9720])).
% 8.48/6.13 tff(15283,plain,
% 8.48/6.13 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB67) <=> v26(constB67))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15284,plain,
% 8.48/6.13 (v111(constB67) <=> v26(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15283, 9732])).
% 8.48/6.13 tff(15285,plain,
% 8.48/6.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15286,plain,
% 8.48/6.13 (~v26(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15285, 9744])).
% 8.48/6.13 tff(15287,plain,
% 8.48/6.13 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67)) | v26(constB67)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15288,plain,
% 8.48/6.13 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15287, 15286])).
% 8.48/6.13 tff(15289,plain,
% 8.48/6.13 (~v111(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15288, 15284])).
% 8.48/6.13 tff(15290,plain,
% 8.48/6.13 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67) | v111(constB67)),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15291,plain,
% 8.48/6.13 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15290, 15289])).
% 8.48/6.13 tff(15292,plain,
% 8.48/6.13 (v126(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15291, 15282])).
% 8.48/6.13 tff(15293,plain,
% 8.48/6.13 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67)) | (~v126(constB67))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15294,plain,
% 8.48/6.13 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15293, 15292])).
% 8.48/6.13 tff(15295,plain,
% 8.48/6.13 (~((~v113(constB67)) | (~v126(constB67)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15294, 15280])).
% 8.48/6.13 tff(15296,plain,
% 8.48/6.13 ((~(v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))) | v112(constB67) | ((~v113(constB67)) | (~v126(constB67)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15297,plain,
% 8.48/6.13 (v112(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15296, 15295, 6550])).
% 8.48/6.13 tff(15298,plain,
% 8.48/6.13 ((v111(constB67) | v112(constB67)) | (~v112(constB67))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15299,plain,
% 8.48/6.13 (v111(constB67) | v112(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15298, 15297])).
% 8.48/6.13 tff(15300,plain,
% 8.48/6.13 ((~(v108(constB67) <=> (v111(constB67) | v112(constB67)))) | v108(constB67) | (~(v111(constB67) | v112(constB67)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15301,plain,
% 8.48/6.13 (v108(constB67)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15300, 15299, 6548])).
% 8.48/6.13 tff(15302,plain,
% 8.48/6.13 ((~(v110(constB68) <=> v108(constB67))) | v110(constB68) | (~v108(constB67))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15303,plain,
% 8.48/6.13 (v110(constB68)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15302, 15301, 6546])).
% 8.48/6.13 tff(15304,plain,
% 8.48/6.13 ((~((~v101(constB68)) | (~v110(constB68)))) | (~v101(constB68)) | (~v110(constB68))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15305,plain,
% 8.48/6.13 (~((~v101(constB68)) | (~v110(constB68)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15304, 15303, 6542])).
% 8.48/6.13 tff(15306,plain,
% 8.48/6.13 ((~(v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))) | v100(constB68) | ((~v101(constB68)) | (~v110(constB68)))),
% 8.48/6.13 inference(tautology,[status(thm)],[])).
% 8.48/6.13 tff(15307,plain,
% 8.48/6.13 (v100(constB68)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15306, 15305, 6511])).
% 8.48/6.13 tff(15308,plain,
% 8.48/6.13 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B))))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15309,plain,
% 8.48/6.13 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B))))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15310,plain,
% 8.48/6.13 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15309, 15308])).
% 8.48/6.13 tff(15311,plain,
% 8.48/6.13 ((~v100(constB68)) | ![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15310, 9780])).
% 8.48/6.13 tff(15312,plain,
% 8.48/6.13 (![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15311, 15307])).
% 8.48/6.13 tff(15313,plain,
% 8.48/6.13 (((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15314,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)))),
% 8.48/6.13 inference(quant_inst,[status(thm)],[])).
% 8.48/6.13 tff(15315,plain,
% 8.48/6.13 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex2)) | (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2))),
% 8.48/6.13 inference(modus_ponens,[status(thm)],[15314, 15313])).
% 8.48/6.13 tff(15316,plain,
% 8.48/6.13 (v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2)),
% 8.48/6.13 inference(unit_resolution,[status(thm)],[15315, 648, 15312])).
% 8.48/6.13 tff(15317,plain,
% 8.48/6.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B))))),
% 8.48/6.13 inference(rewrite,[status(thm)],[])).
% 8.48/6.13 tff(15318,plain,
% 8.48/6.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B))))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15319,plain,
% 8.48/6.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15318, 15317])).
% 8.48/6.14 tff(15320,plain,
% 8.48/6.14 (![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15319, 6507, 9802])).
% 8.48/6.14 tff(15321,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15322,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15323,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex2)) | (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15322, 15321])).
% 8.48/6.14 tff(15324,plain,
% 8.48/6.14 (v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15323, 648, 15320])).
% 8.48/6.14 tff(15325,plain,
% 8.48/6.14 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB67) | ![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB67) | ![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B))))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15326,plain,
% 8.48/6.14 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB67) | ![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B))))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15327,plain,
% 8.48/6.14 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB67) | ![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15326, 15325])).
% 8.48/6.14 tff(15328,plain,
% 8.48/6.14 (![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15327, 9823, 15289])).
% 8.48/6.14 tff(15329,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15330,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15331,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex2)) | (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 8.48/6.14 tff(15332,plain,
% 8.48/6.14 (v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15331, 648, 15328])).
% 8.48/6.14 tff(15333,plain,
% 8.48/6.14 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B))))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15334,plain,
% 8.48/6.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B))))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15335,plain,
% 8.48/6.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 8.48/6.14 tff(15336,plain,
% 8.48/6.14 ((~v122(constB67)) | ![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15335, 10383])).
% 8.48/6.14 tff(15337,plain,
% 8.48/6.14 (![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15336, 15264])).
% 8.48/6.14 tff(15338,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b100(bitIndex2)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15339,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b100(bitIndex2)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15340,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB67, bitIndex2) <=> b100(bitIndex2))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15339, 15338])).
% 8.48/6.14 tff(15341,plain,
% 8.48/6.14 (v130(constB67, bitIndex2) <=> b100(bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15340, 648, 15337])).
% 8.48/6.14 tff(15342,plain,
% 8.48/6.14 ((~(v130(constB67, bitIndex2) <=> b100(bitIndex2))) | v130(constB67, bitIndex2) | (~b100(bitIndex2))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15343,plain,
% 8.48/6.14 ((~(v130(constB67, bitIndex2) <=> b100(bitIndex2))) | v130(constB67, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15342, 10395])).
% 8.48/6.14 tff(15344,plain,
% 8.48/6.14 (v130(constB67, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15343, 15341])).
% 8.48/6.14 tff(15345,plain,
% 8.48/6.14 ((~(v127(constB67, bitIndex2) <=> v130(constB67, bitIndex2))) | v127(constB67, bitIndex2) | (~v130(constB67, bitIndex2))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15346,plain,
% 8.48/6.14 (v127(constB67, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15345, 15344, 15332])).
% 8.48/6.14 tff(15347,plain,
% 8.48/6.14 ((~(v129(constB68, bitIndex2) <=> v127(constB67, bitIndex2))) | v129(constB68, bitIndex2) | (~v127(constB67, bitIndex2))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15348,plain,
% 8.48/6.14 (v129(constB68, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15347, 15346, 15324])).
% 8.48/6.14 tff(15349,plain,
% 8.48/6.14 ((~(v90(constB68, bitIndex2) <=> v129(constB68, bitIndex2))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15350,plain,
% 8.48/6.14 (v90(constB68, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15349, 15348, 15316])).
% 8.48/6.14 tff(15351,plain,
% 8.48/6.14 ((~(v90(constB69, bitIndex2) <=> v90(constB68, bitIndex2))) | v90(constB69, bitIndex2) | (~v90(constB68, bitIndex2))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15352,plain,
% 8.48/6.14 (v90(constB69, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15351, 15350, 6504])).
% 8.48/6.14 tff(15353,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15354,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15355,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 8.48/6.14 tff(15356,plain,
% 8.48/6.14 (v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15355, 9653, 6500])).
% 8.48/6.14 tff(15357,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15358,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15359,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex0)) | (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15358, 15357])).
% 8.48/6.14 tff(15360,plain,
% 8.48/6.14 (v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15359, 9653, 15312])).
% 8.48/6.14 tff(15361,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15362,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15363,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex0)) | (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15362, 15361])).
% 8.48/6.14 tff(15364,plain,
% 8.48/6.14 (v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15363, 9653, 15320])).
% 8.48/6.14 tff(15365,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15366,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15367,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex0)) | (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15366, 15365])).
% 8.48/6.14 tff(15368,plain,
% 8.48/6.14 (v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15367, 9653, 15328])).
% 8.48/6.14 tff(15369,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b100(bitIndex0)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15370,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b100(bitIndex0)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15371,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB67, bitIndex0) <=> b100(bitIndex0))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15370, 15369])).
% 8.48/6.14 tff(15372,plain,
% 8.48/6.14 (v130(constB67, bitIndex0) <=> b100(bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15371, 9653, 15337])).
% 8.48/6.14 tff(15373,plain,
% 8.48/6.14 ((~(v130(constB67, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB67, bitIndex0)) | b100(bitIndex0)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15374,plain,
% 8.48/6.14 ((~(v130(constB67, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB67, bitIndex0))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15373, 10429])).
% 8.48/6.14 tff(15375,plain,
% 8.48/6.14 (~v130(constB67, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15374, 15372])).
% 8.48/6.14 tff(15376,plain,
% 8.48/6.14 ((~(v127(constB67, bitIndex0) <=> v130(constB67, bitIndex0))) | (~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15377,plain,
% 8.48/6.14 (~v127(constB67, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15376, 15375, 15368])).
% 8.48/6.14 tff(15378,plain,
% 8.48/6.14 ((~(v129(constB68, bitIndex0) <=> v127(constB67, bitIndex0))) | (~v129(constB68, bitIndex0)) | v127(constB67, bitIndex0)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15379,plain,
% 8.48/6.14 (~v129(constB68, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15378, 15377, 15364])).
% 8.48/6.14 tff(15380,plain,
% 8.48/6.14 ((~(v90(constB68, bitIndex0) <=> v129(constB68, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15381,plain,
% 8.48/6.14 (~v90(constB68, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15380, 15379, 15360])).
% 8.48/6.14 tff(15382,plain,
% 8.48/6.14 ((~(v90(constB69, bitIndex0) <=> v90(constB68, bitIndex0))) | (~v90(constB69, bitIndex0)) | v90(constB68, bitIndex0)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15383,plain,
% 8.48/6.14 (~v90(constB69, bitIndex0)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15382, 15381, 15356])).
% 8.48/6.14 tff(15384,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15385,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15386,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB69, B) <=> v90(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15385, 15384])).
% 8.48/6.14 tff(15387,plain,
% 8.48/6.14 (v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15386, 375, 6500])).
% 8.48/6.14 tff(15388,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15389,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | ((~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15390,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB68, B) <=> v129(constB68, B)))) | (~less_3(bitIndex1)) | (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15389, 15388])).
% 8.48/6.14 tff(15391,plain,
% 8.48/6.14 (v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15390, 375, 15312])).
% 8.48/6.14 tff(15392,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15393,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | ((~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15394,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB68, B) <=> v127(constB67, B)))) | (~less_3(bitIndex1)) | (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15393, 15392])).
% 8.48/6.14 tff(15395,plain,
% 8.48/6.14 (v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15394, 375, 15320])).
% 8.48/6.14 tff(15396,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15397,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | ((~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15398,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v127(constB67, B) <=> v130(constB67, B)))) | (~less_3(bitIndex1)) | (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15397, 15396])).
% 8.48/6.14 tff(15399,plain,
% 8.48/6.14 (v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15398, 375, 15328])).
% 8.48/6.14 tff(15400,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b100(bitIndex1)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15401,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b100(bitIndex1)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15402,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v130(constB67, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB67, bitIndex1) <=> b100(bitIndex1))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15401, 15400])).
% 8.48/6.14 tff(15403,plain,
% 8.48/6.14 (v130(constB67, bitIndex1) <=> b100(bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15402, 375, 15337])).
% 8.48/6.14 tff(15404,plain,
% 8.48/6.14 ((~(v130(constB67, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB67, bitIndex1)) | b100(bitIndex1)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15405,plain,
% 8.48/6.14 ((~(v130(constB67, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB67, bitIndex1))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15404, 10463])).
% 8.48/6.14 tff(15406,plain,
% 8.48/6.14 (~v130(constB67, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15405, 15403])).
% 8.48/6.14 tff(15407,plain,
% 8.48/6.14 ((~(v127(constB67, bitIndex1) <=> v130(constB67, bitIndex1))) | (~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15408,plain,
% 8.48/6.14 (~v127(constB67, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15407, 15406, 15399])).
% 8.48/6.14 tff(15409,plain,
% 8.48/6.14 ((~(v129(constB68, bitIndex1) <=> v127(constB67, bitIndex1))) | (~v129(constB68, bitIndex1)) | v127(constB67, bitIndex1)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15410,plain,
% 8.48/6.14 (~v129(constB68, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15409, 15408, 15395])).
% 8.48/6.14 tff(15411,plain,
% 8.48/6.14 ((~(v90(constB68, bitIndex1) <=> v129(constB68, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15412,plain,
% 8.48/6.14 (~v90(constB68, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15411, 15410, 15391])).
% 8.48/6.14 tff(15413,plain,
% 8.48/6.14 ((~(v90(constB69, bitIndex1) <=> v90(constB68, bitIndex1))) | (~v90(constB69, bitIndex1)) | v90(constB68, bitIndex1)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15414,plain,
% 8.48/6.14 (~v90(constB69, bitIndex1)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15413, 15412, 15387])).
% 8.48/6.14 tff(15415,plain,
% 8.48/6.14 ((~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))) | (~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15416,plain,
% 8.48/6.14 (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15415, 15414, 15383, 15352])).
% 8.48/6.14 tff(15417,plain,
% 8.48/6.14 ((~(v123(constB69) <=> (~((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))))) | v123(constB69) | ((~v90(constB69, bitIndex2)) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15418,plain,
% 8.48/6.14 (v123(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15417, 15416, 6472])).
% 8.48/6.14 tff(15419,plain,
% 8.48/6.14 ((v116(constB69) | v123(constB69)) | (~v123(constB69))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15420,plain,
% 8.48/6.14 (v116(constB69) | v123(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15419, 15418])).
% 8.48/6.14 tff(15421,plain,
% 8.48/6.14 ((~(v115(constB69) <=> (v116(constB69) | v123(constB69)))) | v115(constB69) | (~(v116(constB69) | v123(constB69)))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15422,plain,
% 8.48/6.14 (v115(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15421, 15420, 6465])).
% 8.48/6.14 tff(15423,plain,
% 8.48/6.14 ((v115(constB69) | v124(constB69)) | (~v115(constB69))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15424,plain,
% 8.48/6.14 (v115(constB69) | v124(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15423, 15422])).
% 8.48/6.14 tff(15425,plain,
% 8.48/6.14 ((~(v114(constB69) <=> (v115(constB69) | v124(constB69)))) | v114(constB69) | (~(v115(constB69) | v124(constB69)))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15426,plain,
% 8.48/6.14 (v114(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15425, 15424, 6463])).
% 8.48/6.14 tff(15427,plain,
% 8.48/6.14 ((v114(constB69) | v125(constB69)) | (~v114(constB69))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15428,plain,
% 8.48/6.14 (v114(constB69) | v125(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15427, 15426])).
% 8.48/6.14 tff(15429,plain,
% 8.48/6.14 ((~(v113(constB69) <=> (v114(constB69) | v125(constB69)))) | v113(constB69) | (~(v114(constB69) | v125(constB69)))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15430,plain,
% 8.48/6.14 (v113(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15429, 15428, 6461])).
% 8.48/6.14 tff(15431,plain,
% 8.48/6.14 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB69)) <=> v111(constB69))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15432,plain,
% 8.48/6.14 ((~v126(constB69)) <=> v111(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15431, 9720])).
% 8.48/6.14 tff(15433,plain,
% 8.48/6.14 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB69) <=> v26(constB69))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15434,plain,
% 8.48/6.14 (v111(constB69) <=> v26(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15433, 9732])).
% 8.48/6.14 tff(15435,plain,
% 8.48/6.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15436,plain,
% 8.48/6.14 (~v26(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15435, 9744])).
% 8.48/6.14 tff(15437,plain,
% 8.48/6.14 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69)) | v26(constB69)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15438,plain,
% 8.48/6.14 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15437, 15436])).
% 8.48/6.14 tff(15439,plain,
% 8.48/6.14 (~v111(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15438, 15434])).
% 8.48/6.14 tff(15440,plain,
% 8.48/6.14 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69) | v111(constB69)),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15441,plain,
% 8.48/6.14 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15440, 15439])).
% 8.48/6.14 tff(15442,plain,
% 8.48/6.14 (v126(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15441, 15432])).
% 8.48/6.14 tff(15443,plain,
% 8.48/6.14 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69)) | (~v126(constB69))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15444,plain,
% 8.48/6.14 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15443, 15442])).
% 8.48/6.14 tff(15445,plain,
% 8.48/6.14 (~((~v113(constB69)) | (~v126(constB69)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15444, 15430])).
% 8.48/6.14 tff(15446,plain,
% 8.48/6.14 ((~(v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))) | v112(constB69) | ((~v113(constB69)) | (~v126(constB69)))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15447,plain,
% 8.48/6.14 (v112(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15446, 15445, 6459])).
% 8.48/6.14 tff(15448,plain,
% 8.48/6.14 ((v111(constB69) | v112(constB69)) | (~v112(constB69))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15449,plain,
% 8.48/6.14 (v111(constB69) | v112(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15448, 15447])).
% 8.48/6.14 tff(15450,plain,
% 8.48/6.14 ((~(v108(constB69) <=> (v111(constB69) | v112(constB69)))) | v108(constB69) | (~(v111(constB69) | v112(constB69)))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15451,plain,
% 8.48/6.14 (v108(constB69)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15450, 15449, 6457])).
% 8.48/6.14 tff(15452,plain,
% 8.48/6.14 ((~(v110(constB70) <=> v108(constB69))) | v110(constB70) | (~v108(constB69))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15453,plain,
% 8.48/6.14 (v110(constB70)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15452, 15451, 6455])).
% 8.48/6.14 tff(15454,plain,
% 8.48/6.14 ((~((~v101(constB70)) | (~v110(constB70)))) | (~v101(constB70)) | (~v110(constB70))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15455,plain,
% 8.48/6.14 (~((~v101(constB70)) | (~v110(constB70)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15454, 15453, 6451])).
% 8.48/6.14 tff(15456,plain,
% 8.48/6.14 ((~(v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))) | v100(constB70) | ((~v101(constB70)) | (~v110(constB70)))),
% 8.48/6.14 inference(tautology,[status(thm)],[])).
% 8.48/6.14 tff(15457,plain,
% 8.48/6.14 (v100(constB70)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15456, 15455, 6420])).
% 8.48/6.14 tff(15458,plain,
% 8.48/6.14 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B))))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15459,plain,
% 8.48/6.14 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B))))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15460,plain,
% 8.48/6.14 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15459, 15458])).
% 8.48/6.14 tff(15461,plain,
% 8.48/6.14 ((~v100(constB70)) | ![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15460, 9780])).
% 8.48/6.14 tff(15462,plain,
% 8.48/6.14 (![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15461, 15457])).
% 8.48/6.14 tff(15463,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15464,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15465,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex2)) | (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15464, 15463])).
% 8.48/6.14 tff(15466,plain,
% 8.48/6.14 (v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15465, 648, 15462])).
% 8.48/6.14 tff(15467,plain,
% 8.48/6.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B))))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15468,plain,
% 8.48/6.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B))))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15469,plain,
% 8.48/6.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15468, 15467])).
% 8.48/6.14 tff(15470,plain,
% 8.48/6.14 (![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15469, 6416, 9802])).
% 8.48/6.14 tff(15471,plain,
% 8.48/6.14 (((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15472,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15473,plain,
% 8.48/6.14 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex2)) | (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 8.48/6.14 tff(15474,plain,
% 8.48/6.14 (v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2)),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15473, 648, 15470])).
% 8.48/6.14 tff(15475,plain,
% 8.48/6.14 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB69) | ![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB69) | ![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B))))),
% 8.48/6.14 inference(rewrite,[status(thm)],[])).
% 8.48/6.14 tff(15476,plain,
% 8.48/6.14 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB69) | ![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B))))),
% 8.48/6.14 inference(quant_inst,[status(thm)],[])).
% 8.48/6.14 tff(15477,plain,
% 8.48/6.14 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB69) | ![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))),
% 8.48/6.14 inference(modus_ponens,[status(thm)],[15476, 15475])).
% 8.48/6.14 tff(15478,plain,
% 8.48/6.14 (![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))),
% 8.48/6.14 inference(unit_resolution,[status(thm)],[15477, 9823, 15439])).
% 8.48/6.15 tff(15479,plain,
% 8.48/6.15 (((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15480,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15481,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex2)) | (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15480, 15479])).
% 8.48/6.15 tff(15482,plain,
% 8.48/6.15 (v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15481, 648, 15478])).
% 8.48/6.15 tff(15483,plain,
% 8.48/6.15 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B))))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15484,plain,
% 8.48/6.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B))))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15485,plain,
% 8.48/6.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15484, 15483])).
% 8.48/6.15 tff(15486,plain,
% 8.48/6.15 ((~v123(constB69)) | ![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15485, 10555])).
% 8.48/6.15 tff(15487,plain,
% 8.48/6.15 (![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15486, 15418])).
% 8.48/6.15 tff(15488,plain,
% 8.48/6.15 (((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b101(bitIndex2)))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15489,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b101(bitIndex2)))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15490,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB69, bitIndex2) <=> b101(bitIndex2))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 8.48/6.15 tff(15491,plain,
% 8.48/6.15 (v130(constB69, bitIndex2) <=> b101(bitIndex2)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15490, 648, 15487])).
% 8.48/6.15 tff(15492,plain,
% 8.48/6.15 ((~(v130(constB69, bitIndex2) <=> b101(bitIndex2))) | v130(constB69, bitIndex2) | (~b101(bitIndex2))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15493,plain,
% 8.48/6.15 ((~(v130(constB69, bitIndex2) <=> b101(bitIndex2))) | v130(constB69, bitIndex2)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15492, 10567])).
% 8.48/6.15 tff(15494,plain,
% 8.48/6.15 (v130(constB69, bitIndex2)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15493, 15491])).
% 8.48/6.15 tff(15495,plain,
% 8.48/6.15 ((~(v127(constB69, bitIndex2) <=> v130(constB69, bitIndex2))) | v127(constB69, bitIndex2) | (~v130(constB69, bitIndex2))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15496,plain,
% 8.48/6.15 (v127(constB69, bitIndex2)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15495, 15494, 15482])).
% 8.48/6.15 tff(15497,plain,
% 8.48/6.15 ((~(v129(constB70, bitIndex2) <=> v127(constB69, bitIndex2))) | v129(constB70, bitIndex2) | (~v127(constB69, bitIndex2))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15498,plain,
% 8.48/6.15 (v129(constB70, bitIndex2)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15497, 15496, 15474])).
% 8.48/6.15 tff(15499,plain,
% 8.48/6.15 ((~(v90(constB70, bitIndex2) <=> v129(constB70, bitIndex2))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15500,plain,
% 8.48/6.15 (v90(constB70, bitIndex2)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15499, 15498, 15466])).
% 8.48/6.15 tff(15501,plain,
% 8.48/6.15 ((~(v90(constB71, bitIndex2) <=> v90(constB70, bitIndex2))) | v90(constB71, bitIndex2) | (~v90(constB70, bitIndex2))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15502,plain,
% 8.48/6.15 (v90(constB71, bitIndex2)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15501, 15500, 6413])).
% 8.48/6.15 tff(15503,plain,
% 8.48/6.15 (((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15504,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15505,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15504, 15503])).
% 8.48/6.15 tff(15506,plain,
% 8.48/6.15 (v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15505, 9653, 6409])).
% 8.48/6.15 tff(15507,plain,
% 8.48/6.15 (((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15508,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15509,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex0)) | (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15508, 15507])).
% 8.48/6.15 tff(15510,plain,
% 8.48/6.15 (v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15509, 9653, 15462])).
% 8.48/6.15 tff(15511,plain,
% 8.48/6.15 (((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15512,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15513,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex0)) | (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15512, 15511])).
% 8.48/6.15 tff(15514,plain,
% 8.48/6.15 (v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15513, 9653, 15470])).
% 8.48/6.15 tff(15515,plain,
% 8.48/6.15 (((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15516,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15517,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex0)) | (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 8.48/6.15 tff(15518,plain,
% 8.48/6.15 (v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15517, 9653, 15478])).
% 8.48/6.15 tff(15519,plain,
% 8.48/6.15 (((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b101(bitIndex0)))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15520,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b101(bitIndex0)))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15521,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB69, bitIndex0) <=> b101(bitIndex0))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 8.48/6.15 tff(15522,plain,
% 8.48/6.15 (v130(constB69, bitIndex0) <=> b101(bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15521, 9653, 15487])).
% 8.48/6.15 tff(15523,plain,
% 8.48/6.15 ((~(v130(constB69, bitIndex0) <=> b101(bitIndex0))) | v130(constB69, bitIndex0) | (~b101(bitIndex0))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15524,plain,
% 8.48/6.15 ((~(v130(constB69, bitIndex0) <=> b101(bitIndex0))) | v130(constB69, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15523, 10601])).
% 8.48/6.15 tff(15525,plain,
% 8.48/6.15 (v130(constB69, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15524, 15522])).
% 8.48/6.15 tff(15526,plain,
% 8.48/6.15 ((~(v127(constB69, bitIndex0) <=> v130(constB69, bitIndex0))) | v127(constB69, bitIndex0) | (~v130(constB69, bitIndex0))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15527,plain,
% 8.48/6.15 (v127(constB69, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15526, 15525, 15518])).
% 8.48/6.15 tff(15528,plain,
% 8.48/6.15 ((~(v129(constB70, bitIndex0) <=> v127(constB69, bitIndex0))) | v129(constB70, bitIndex0) | (~v127(constB69, bitIndex0))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15529,plain,
% 8.48/6.15 (v129(constB70, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15528, 15527, 15514])).
% 8.48/6.15 tff(15530,plain,
% 8.48/6.15 ((~(v90(constB70, bitIndex0) <=> v129(constB70, bitIndex0))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15531,plain,
% 8.48/6.15 (v90(constB70, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15530, 15529, 15510])).
% 8.48/6.15 tff(15532,plain,
% 8.48/6.15 ((~(v90(constB71, bitIndex0) <=> v90(constB70, bitIndex0))) | v90(constB71, bitIndex0) | (~v90(constB70, bitIndex0))),
% 8.48/6.15 inference(tautology,[status(thm)],[])).
% 8.48/6.15 tff(15533,plain,
% 8.48/6.15 (v90(constB71, bitIndex0)),
% 8.48/6.15 inference(unit_resolution,[status(thm)],[15532, 15531, 15506])).
% 8.48/6.15 tff(15534,plain,
% 8.48/6.15 (((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)))),
% 8.48/6.15 inference(rewrite,[status(thm)],[])).
% 8.48/6.15 tff(15535,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)))),
% 8.48/6.15 inference(quant_inst,[status(thm)],[])).
% 8.48/6.15 tff(15536,plain,
% 8.48/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB71, B) <=> v90(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1))),
% 8.48/6.15 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 8.58/6.15 tff(15537,plain,
% 8.58/6.15 (v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15536, 375, 6409])).
% 8.58/6.15 tff(15538,plain,
% 8.58/6.15 (((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15539,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | ((~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15540,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB70, B) <=> v129(constB70, B)))) | (~less_3(bitIndex1)) | (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15539, 15538])).
% 8.58/6.15 tff(15541,plain,
% 8.58/6.15 (v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15540, 375, 15462])).
% 8.58/6.15 tff(15542,plain,
% 8.58/6.15 (((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15543,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | ((~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15544,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB70, B) <=> v127(constB69, B)))) | (~less_3(bitIndex1)) | (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 8.58/6.15 tff(15545,plain,
% 8.58/6.15 (v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15544, 375, 15470])).
% 8.58/6.15 tff(15546,plain,
% 8.58/6.15 (((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15547,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | ((~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15548,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB69, B) <=> v130(constB69, B)))) | (~less_3(bitIndex1)) | (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 8.58/6.15 tff(15549,plain,
% 8.58/6.15 (v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15548, 375, 15478])).
% 8.58/6.15 tff(15550,plain,
% 8.58/6.15 (((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b101(bitIndex1)))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15551,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b101(bitIndex1)))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15552,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB69, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB69, bitIndex1) <=> b101(bitIndex1))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15551, 15550])).
% 8.58/6.15 tff(15553,plain,
% 8.58/6.15 (v130(constB69, bitIndex1) <=> b101(bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15552, 375, 15487])).
% 8.58/6.15 tff(15554,plain,
% 8.58/6.15 ((~(v130(constB69, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB69, bitIndex1)) | b101(bitIndex1)),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15555,plain,
% 8.58/6.15 ((~(v130(constB69, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB69, bitIndex1))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15554, 10635])).
% 8.58/6.15 tff(15556,plain,
% 8.58/6.15 (~v130(constB69, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15555, 15553])).
% 8.58/6.15 tff(15557,plain,
% 8.58/6.15 ((~(v127(constB69, bitIndex1) <=> v130(constB69, bitIndex1))) | (~v127(constB69, bitIndex1)) | v130(constB69, bitIndex1)),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15558,plain,
% 8.58/6.15 (~v127(constB69, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15557, 15556, 15549])).
% 8.58/6.15 tff(15559,plain,
% 8.58/6.15 ((~(v129(constB70, bitIndex1) <=> v127(constB69, bitIndex1))) | (~v129(constB70, bitIndex1)) | v127(constB69, bitIndex1)),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15560,plain,
% 8.58/6.15 (~v129(constB70, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15559, 15558, 15545])).
% 8.58/6.15 tff(15561,plain,
% 8.58/6.15 ((~(v90(constB70, bitIndex1) <=> v129(constB70, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1)),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15562,plain,
% 8.58/6.15 (~v90(constB70, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15561, 15560, 15541])).
% 8.58/6.15 tff(15563,plain,
% 8.58/6.15 ((~(v90(constB71, bitIndex1) <=> v90(constB70, bitIndex1))) | (~v90(constB71, bitIndex1)) | v90(constB70, bitIndex1)),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15564,plain,
% 8.58/6.15 (~v90(constB71, bitIndex1)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15563, 15562, 15537])).
% 8.58/6.15 tff(15565,plain,
% 8.58/6.15 ((~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))) | (~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15566,plain,
% 8.58/6.15 (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15565, 15564, 15533, 15502])).
% 8.58/6.15 tff(15567,plain,
% 8.58/6.15 ((~(v124(constB71) <=> (~((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))))) | v124(constB71) | ((~v90(constB71, bitIndex2)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15568,plain,
% 8.58/6.15 (v124(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15567, 15566, 6381])).
% 8.58/6.15 tff(15569,plain,
% 8.58/6.15 ((v115(constB71) | v124(constB71)) | (~v124(constB71))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15570,plain,
% 8.58/6.15 (v115(constB71) | v124(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15569, 15568])).
% 8.58/6.15 tff(15571,plain,
% 8.58/6.15 ((~(v114(constB71) <=> (v115(constB71) | v124(constB71)))) | v114(constB71) | (~(v115(constB71) | v124(constB71)))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15572,plain,
% 8.58/6.15 (v114(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15571, 15570, 6374])).
% 8.58/6.15 tff(15573,plain,
% 8.58/6.15 ((v114(constB71) | v125(constB71)) | (~v114(constB71))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15574,plain,
% 8.58/6.15 (v114(constB71) | v125(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15573, 15572])).
% 8.58/6.15 tff(15575,plain,
% 8.58/6.15 ((~(v113(constB71) <=> (v114(constB71) | v125(constB71)))) | v113(constB71) | (~(v114(constB71) | v125(constB71)))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15576,plain,
% 8.58/6.15 (v113(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15575, 15574, 6372])).
% 8.58/6.15 tff(15577,plain,
% 8.58/6.15 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB71)) <=> v111(constB71))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15578,plain,
% 8.58/6.15 ((~v126(constB71)) <=> v111(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15577, 9720])).
% 8.58/6.15 tff(15579,plain,
% 8.58/6.15 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB71) <=> v26(constB71))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15580,plain,
% 8.58/6.15 (v111(constB71) <=> v26(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15579, 9732])).
% 8.58/6.15 tff(15581,plain,
% 8.58/6.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15582,plain,
% 8.58/6.15 (~v26(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15581, 9744])).
% 8.58/6.15 tff(15583,plain,
% 8.58/6.15 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71)) | v26(constB71)),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15584,plain,
% 8.58/6.15 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15583, 15582])).
% 8.58/6.15 tff(15585,plain,
% 8.58/6.15 (~v111(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15584, 15580])).
% 8.58/6.15 tff(15586,plain,
% 8.58/6.15 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71) | v111(constB71)),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15587,plain,
% 8.58/6.15 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15586, 15585])).
% 8.58/6.15 tff(15588,plain,
% 8.58/6.15 (v126(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15587, 15578])).
% 8.58/6.15 tff(15589,plain,
% 8.58/6.15 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71)) | (~v126(constB71))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15590,plain,
% 8.58/6.15 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15589, 15588])).
% 8.58/6.15 tff(15591,plain,
% 8.58/6.15 (~((~v113(constB71)) | (~v126(constB71)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15590, 15576])).
% 8.58/6.15 tff(15592,plain,
% 8.58/6.15 ((~(v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))) | v112(constB71) | ((~v113(constB71)) | (~v126(constB71)))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15593,plain,
% 8.58/6.15 (v112(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15592, 15591, 6370])).
% 8.58/6.15 tff(15594,plain,
% 8.58/6.15 ((v111(constB71) | v112(constB71)) | (~v112(constB71))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15595,plain,
% 8.58/6.15 (v111(constB71) | v112(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15594, 15593])).
% 8.58/6.15 tff(15596,plain,
% 8.58/6.15 ((~(v108(constB71) <=> (v111(constB71) | v112(constB71)))) | v108(constB71) | (~(v111(constB71) | v112(constB71)))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15597,plain,
% 8.58/6.15 (v108(constB71)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15596, 15595, 6368])).
% 8.58/6.15 tff(15598,plain,
% 8.58/6.15 ((~(v110(constB72) <=> v108(constB71))) | v110(constB72) | (~v108(constB71))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15599,plain,
% 8.58/6.15 (v110(constB72)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15598, 15597, 6366])).
% 8.58/6.15 tff(15600,plain,
% 8.58/6.15 ((~((~v101(constB72)) | (~v110(constB72)))) | (~v101(constB72)) | (~v110(constB72))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15601,plain,
% 8.58/6.15 (~((~v101(constB72)) | (~v110(constB72)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15600, 15599, 6362])).
% 8.58/6.15 tff(15602,plain,
% 8.58/6.15 ((~(v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))) | v100(constB72) | ((~v101(constB72)) | (~v110(constB72)))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.15 tff(15603,plain,
% 8.58/6.15 (v100(constB72)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15602, 15601, 6331])).
% 8.58/6.15 tff(15604,plain,
% 8.58/6.15 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B))))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15605,plain,
% 8.58/6.15 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B))))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15606,plain,
% 8.58/6.15 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 8.58/6.15 tff(15607,plain,
% 8.58/6.15 ((~v100(constB72)) | ![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15606, 9780])).
% 8.58/6.15 tff(15608,plain,
% 8.58/6.15 (![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15607, 15603])).
% 8.58/6.15 tff(15609,plain,
% 8.58/6.15 (((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15610,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15611,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex2)) | (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 8.58/6.15 tff(15612,plain,
% 8.58/6.15 (v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15611, 648, 15608])).
% 8.58/6.15 tff(15613,plain,
% 8.58/6.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B))))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15614,plain,
% 8.58/6.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B))))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15615,plain,
% 8.58/6.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 8.58/6.15 tff(15616,plain,
% 8.58/6.15 (![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15615, 6327, 9802])).
% 8.58/6.15 tff(15617,plain,
% 8.58/6.15 (((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15618,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15619,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex2)) | (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 8.58/6.15 tff(15620,plain,
% 8.58/6.15 (v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15619, 648, 15616])).
% 8.58/6.15 tff(15621,plain,
% 8.58/6.15 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB71) | ![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB71) | ![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B))))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15622,plain,
% 8.58/6.15 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB71) | ![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B))))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15623,plain,
% 8.58/6.15 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB71) | ![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 8.58/6.15 tff(15624,plain,
% 8.58/6.15 (![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15623, 9823, 15585])).
% 8.58/6.15 tff(15625,plain,
% 8.58/6.15 (((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15626,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15627,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex2)) | (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15626, 15625])).
% 8.58/6.15 tff(15628,plain,
% 8.58/6.15 (v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15627, 648, 15624])).
% 8.58/6.15 tff(15629,plain,
% 8.58/6.15 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B))))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15630,plain,
% 8.58/6.15 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B))))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15631,plain,
% 8.58/6.15 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15630, 15629])).
% 8.58/6.15 tff(15632,plain,
% 8.58/6.15 ((~v124(constB71)) | ![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15631, 10723])).
% 8.58/6.15 tff(15633,plain,
% 8.58/6.15 (![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15632, 15568])).
% 8.58/6.15 tff(15634,plain,
% 8.58/6.15 (((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b110(bitIndex2)))),
% 8.58/6.15 inference(rewrite,[status(thm)],[])).
% 8.58/6.15 tff(15635,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b110(bitIndex2)))),
% 8.58/6.15 inference(quant_inst,[status(thm)],[])).
% 8.58/6.15 tff(15636,plain,
% 8.58/6.15 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB71, bitIndex2) <=> b110(bitIndex2))),
% 8.58/6.15 inference(modus_ponens,[status(thm)],[15635, 15634])).
% 8.58/6.15 tff(15637,plain,
% 8.58/6.15 (v130(constB71, bitIndex2) <=> b110(bitIndex2)),
% 8.58/6.15 inference(unit_resolution,[status(thm)],[15636, 648, 15633])).
% 8.58/6.15 tff(15638,plain,
% 8.58/6.15 ((~(v130(constB71, bitIndex2) <=> b110(bitIndex2))) | v130(constB71, bitIndex2) | (~b110(bitIndex2))),
% 8.58/6.15 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15639,plain,
% 8.58/6.16 ((~(v130(constB71, bitIndex2) <=> b110(bitIndex2))) | v130(constB71, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15638, 10735])).
% 8.58/6.16 tff(15640,plain,
% 8.58/6.16 (v130(constB71, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15639, 15637])).
% 8.58/6.16 tff(15641,plain,
% 8.58/6.16 ((~(v127(constB71, bitIndex2) <=> v130(constB71, bitIndex2))) | v127(constB71, bitIndex2) | (~v130(constB71, bitIndex2))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15642,plain,
% 8.58/6.16 (v127(constB71, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15641, 15640, 15628])).
% 8.58/6.16 tff(15643,plain,
% 8.58/6.16 ((~(v129(constB72, bitIndex2) <=> v127(constB71, bitIndex2))) | v129(constB72, bitIndex2) | (~v127(constB71, bitIndex2))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15644,plain,
% 8.58/6.16 (v129(constB72, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15643, 15642, 15620])).
% 8.58/6.16 tff(15645,plain,
% 8.58/6.16 ((~(v90(constB72, bitIndex2) <=> v129(constB72, bitIndex2))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15646,plain,
% 8.58/6.16 (v90(constB72, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15645, 15644, 15612])).
% 8.58/6.16 tff(15647,plain,
% 8.58/6.16 ((~(v90(constB73, bitIndex2) <=> v90(constB72, bitIndex2))) | v90(constB73, bitIndex2) | (~v90(constB72, bitIndex2))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15648,plain,
% 8.58/6.16 (v90(constB73, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15647, 15646, 6324])).
% 8.58/6.16 tff(15649,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15650,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15651,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 8.58/6.16 tff(15652,plain,
% 8.58/6.16 (v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15651, 9653, 6320])).
% 8.58/6.16 tff(15653,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15654,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15655,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex0)) | (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15654, 15653])).
% 8.58/6.16 tff(15656,plain,
% 8.58/6.16 (v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15655, 9653, 15608])).
% 8.58/6.16 tff(15657,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15658,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15659,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex0)) | (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15658, 15657])).
% 8.58/6.16 tff(15660,plain,
% 8.58/6.16 (v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15659, 9653, 15616])).
% 8.58/6.16 tff(15661,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15662,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15663,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex0)) | (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15662, 15661])).
% 8.58/6.16 tff(15664,plain,
% 8.58/6.16 (v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15663, 9653, 15624])).
% 8.58/6.16 tff(15665,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b110(bitIndex0)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15666,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b110(bitIndex0)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15667,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB71, bitIndex0) <=> b110(bitIndex0))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 8.58/6.16 tff(15668,plain,
% 8.58/6.16 (v130(constB71, bitIndex0) <=> b110(bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15667, 9653, 15633])).
% 8.58/6.16 tff(15669,plain,
% 8.58/6.16 ((~(v130(constB71, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB71, bitIndex0)) | b110(bitIndex0)),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15670,plain,
% 8.58/6.16 ((~(v130(constB71, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB71, bitIndex0))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15669, 10769])).
% 8.58/6.16 tff(15671,plain,
% 8.58/6.16 (~v130(constB71, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15670, 15668])).
% 8.58/6.16 tff(15672,plain,
% 8.58/6.16 ((~(v127(constB71, bitIndex0) <=> v130(constB71, bitIndex0))) | (~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15673,plain,
% 8.58/6.16 (~v127(constB71, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15672, 15671, 15664])).
% 8.58/6.16 tff(15674,plain,
% 8.58/6.16 ((~(v129(constB72, bitIndex0) <=> v127(constB71, bitIndex0))) | (~v129(constB72, bitIndex0)) | v127(constB71, bitIndex0)),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15675,plain,
% 8.58/6.16 (~v129(constB72, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15674, 15673, 15660])).
% 8.58/6.16 tff(15676,plain,
% 8.58/6.16 ((~(v90(constB72, bitIndex0) <=> v129(constB72, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0)),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15677,plain,
% 8.58/6.16 (~v90(constB72, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15676, 15675, 15656])).
% 8.58/6.16 tff(15678,plain,
% 8.58/6.16 ((~(v90(constB73, bitIndex0) <=> v90(constB72, bitIndex0))) | (~v90(constB73, bitIndex0)) | v90(constB72, bitIndex0)),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15679,plain,
% 8.58/6.16 (~v90(constB73, bitIndex0)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15678, 15677, 15652])).
% 8.58/6.16 tff(15680,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15681,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15682,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB73, B) <=> v90(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15681, 15680])).
% 8.58/6.16 tff(15683,plain,
% 8.58/6.16 (v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15682, 375, 6320])).
% 8.58/6.16 tff(15684,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15685,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | ((~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15686,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB72, B) <=> v129(constB72, B)))) | (~less_3(bitIndex1)) | (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 8.58/6.16 tff(15687,plain,
% 8.58/6.16 (v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15686, 375, 15608])).
% 8.58/6.16 tff(15688,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15689,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | ((~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15690,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB72, B) <=> v127(constB71, B)))) | (~less_3(bitIndex1)) | (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 8.58/6.16 tff(15691,plain,
% 8.58/6.16 (v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15690, 375, 15616])).
% 8.58/6.16 tff(15692,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15693,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | ((~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15694,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB71, B) <=> v130(constB71, B)))) | (~less_3(bitIndex1)) | (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15693, 15692])).
% 8.58/6.16 tff(15695,plain,
% 8.58/6.16 (v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15694, 375, 15624])).
% 8.58/6.16 tff(15696,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b110(bitIndex1)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15697,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b110(bitIndex1)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15698,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v130(constB71, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB71, bitIndex1) <=> b110(bitIndex1))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15697, 15696])).
% 8.58/6.16 tff(15699,plain,
% 8.58/6.16 (v130(constB71, bitIndex1) <=> b110(bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15698, 375, 15633])).
% 8.58/6.16 tff(15700,plain,
% 8.58/6.16 ((~(v130(constB71, bitIndex1) <=> b110(bitIndex1))) | v130(constB71, bitIndex1) | (~b110(bitIndex1))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15701,plain,
% 8.58/6.16 ((~(v130(constB71, bitIndex1) <=> b110(bitIndex1))) | v130(constB71, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15700, 10803])).
% 8.58/6.16 tff(15702,plain,
% 8.58/6.16 (v130(constB71, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15701, 15699])).
% 8.58/6.16 tff(15703,plain,
% 8.58/6.16 ((~(v127(constB71, bitIndex1) <=> v130(constB71, bitIndex1))) | v127(constB71, bitIndex1) | (~v130(constB71, bitIndex1))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15704,plain,
% 8.58/6.16 (v127(constB71, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15703, 15702, 15695])).
% 8.58/6.16 tff(15705,plain,
% 8.58/6.16 ((~(v129(constB72, bitIndex1) <=> v127(constB71, bitIndex1))) | v129(constB72, bitIndex1) | (~v127(constB71, bitIndex1))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15706,plain,
% 8.58/6.16 (v129(constB72, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15705, 15704, 15691])).
% 8.58/6.16 tff(15707,plain,
% 8.58/6.16 ((~(v90(constB72, bitIndex1) <=> v129(constB72, bitIndex1))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15708,plain,
% 8.58/6.16 (v90(constB72, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15707, 15706, 15687])).
% 8.58/6.16 tff(15709,plain,
% 8.58/6.16 ((~(v90(constB73, bitIndex1) <=> v90(constB72, bitIndex1))) | v90(constB73, bitIndex1) | (~v90(constB72, bitIndex1))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15710,plain,
% 8.58/6.16 (v90(constB73, bitIndex1)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15709, 15708, 15683])).
% 8.58/6.16 tff(15711,plain,
% 8.58/6.16 ((~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15712,plain,
% 8.58/6.16 (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15711, 15710, 15679, 15648])).
% 8.58/6.16 tff(15713,plain,
% 8.58/6.16 ((~(v125(constB73) <=> (~((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))) | v125(constB73) | ((~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15714,plain,
% 8.58/6.16 (v125(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15713, 15712, 6292])).
% 8.58/6.16 tff(15715,plain,
% 8.58/6.16 ((v114(constB73) | v125(constB73)) | (~v125(constB73))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15716,plain,
% 8.58/6.16 (v114(constB73) | v125(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15715, 15714])).
% 8.58/6.16 tff(15717,plain,
% 8.58/6.16 ((~(v113(constB73) <=> (v114(constB73) | v125(constB73)))) | v113(constB73) | (~(v114(constB73) | v125(constB73)))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15718,plain,
% 8.58/6.16 (v113(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15717, 15716, 6285])).
% 8.58/6.16 tff(15719,plain,
% 8.58/6.16 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB73)) <=> v111(constB73))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15720,plain,
% 8.58/6.16 ((~v126(constB73)) <=> v111(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15719, 9720])).
% 8.58/6.16 tff(15721,plain,
% 8.58/6.16 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB73) <=> v26(constB73))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15722,plain,
% 8.58/6.16 (v111(constB73) <=> v26(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15721, 9732])).
% 8.58/6.16 tff(15723,plain,
% 8.58/6.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15724,plain,
% 8.58/6.16 (~v26(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15723, 9744])).
% 8.58/6.16 tff(15725,plain,
% 8.58/6.16 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73)) | v26(constB73)),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15726,plain,
% 8.58/6.16 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15725, 15724])).
% 8.58/6.16 tff(15727,plain,
% 8.58/6.16 (~v111(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15726, 15722])).
% 8.58/6.16 tff(15728,plain,
% 8.58/6.16 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73) | v111(constB73)),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15729,plain,
% 8.58/6.16 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15728, 15727])).
% 8.58/6.16 tff(15730,plain,
% 8.58/6.16 (v126(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15729, 15720])).
% 8.58/6.16 tff(15731,plain,
% 8.58/6.16 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73)) | (~v126(constB73))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15732,plain,
% 8.58/6.16 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15731, 15730])).
% 8.58/6.16 tff(15733,plain,
% 8.58/6.16 (~((~v113(constB73)) | (~v126(constB73)))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15732, 15718])).
% 8.58/6.16 tff(15734,plain,
% 8.58/6.16 ((~(v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))) | v112(constB73) | ((~v113(constB73)) | (~v126(constB73)))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15735,plain,
% 8.58/6.16 (v112(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15734, 15733, 6283])).
% 8.58/6.16 tff(15736,plain,
% 8.58/6.16 ((v111(constB73) | v112(constB73)) | (~v112(constB73))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15737,plain,
% 8.58/6.16 (v111(constB73) | v112(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15736, 15735])).
% 8.58/6.16 tff(15738,plain,
% 8.58/6.16 ((~(v108(constB73) <=> (v111(constB73) | v112(constB73)))) | v108(constB73) | (~(v111(constB73) | v112(constB73)))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15739,plain,
% 8.58/6.16 (v108(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15738, 15737, 6281])).
% 8.58/6.16 tff(15740,plain,
% 8.58/6.16 ((~(v110(constB74) <=> v108(constB73))) | v110(constB74) | (~v108(constB73))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15741,plain,
% 8.58/6.16 (v110(constB74)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15740, 15739, 6279])).
% 8.58/6.16 tff(15742,plain,
% 8.58/6.16 ((~((~v101(constB74)) | (~v110(constB74)))) | (~v101(constB74)) | (~v110(constB74))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15743,plain,
% 8.58/6.16 (~((~v101(constB74)) | (~v110(constB74)))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15742, 15741, 6275])).
% 8.58/6.16 tff(15744,plain,
% 8.58/6.16 ((~(v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))) | v100(constB74) | ((~v101(constB74)) | (~v110(constB74)))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15745,plain,
% 8.58/6.16 (v100(constB74)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15744, 15743, 6244])).
% 8.58/6.16 tff(15746,plain,
% 8.58/6.16 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B))))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15747,plain,
% 8.58/6.16 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B))))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15748,plain,
% 8.58/6.16 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15747, 15746])).
% 8.58/6.16 tff(15749,plain,
% 8.58/6.16 ((~v100(constB74)) | ![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15748, 9780])).
% 8.58/6.16 tff(15750,plain,
% 8.58/6.16 (![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15749, 15745])).
% 8.58/6.16 tff(15751,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15752,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15753,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex2)) | (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15752, 15751])).
% 8.58/6.16 tff(15754,plain,
% 8.58/6.16 (v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15753, 648, 15750])).
% 8.58/6.16 tff(15755,plain,
% 8.58/6.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B))))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15756,plain,
% 8.58/6.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B))))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15757,plain,
% 8.58/6.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15756, 15755])).
% 8.58/6.16 tff(15758,plain,
% 8.58/6.16 (![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15757, 6240, 9802])).
% 8.58/6.16 tff(15759,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15760,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15761,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex2)) | (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15760, 15759])).
% 8.58/6.16 tff(15762,plain,
% 8.58/6.16 (v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15761, 648, 15758])).
% 8.58/6.16 tff(15763,plain,
% 8.58/6.16 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB73) | ![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB73) | ![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B))))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15764,plain,
% 8.58/6.16 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB73) | ![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B))))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15765,plain,
% 8.58/6.16 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB73) | ![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 8.58/6.16 tff(15766,plain,
% 8.58/6.16 (![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15765, 9823, 15727])).
% 8.58/6.16 tff(15767,plain,
% 8.58/6.16 (((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15768,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15769,plain,
% 8.58/6.16 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex2)) | (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 8.58/6.16 tff(15770,plain,
% 8.58/6.16 (v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15769, 648, 15766])).
% 8.58/6.16 tff(15771,plain,
% 8.58/6.16 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2))))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15772,plain,
% 8.58/6.16 (v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15771, 9620])).
% 8.58/6.16 tff(15773,plain,
% 8.58/6.16 ((v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex2))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15774,plain,
% 8.58/6.16 (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15773, 15648])).
% 8.58/6.16 tff(15775,plain,
% 8.58/6.16 ((~(v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2))))) | (~v119(constB73)) | (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15776,plain,
% 8.58/6.16 (~v119(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15775, 15774, 15772])).
% 8.58/6.16 tff(15777,plain,
% 8.58/6.16 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15778,plain,
% 8.58/6.16 ((v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2))))) <=> (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15779,plain,
% 8.58/6.16 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.16 inference(monotonicity,[status(thm)],[15778])).
% 8.58/6.16 tff(15780,plain,
% 8.58/6.16 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.16 inference(transitivity,[status(thm)],[15779, 15777])).
% 8.58/6.16 tff(15781,plain,
% 8.58/6.16 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2)))))),
% 8.58/6.16 inference(quant_inst,[status(thm)],[])).
% 8.58/6.16 tff(15782,plain,
% 8.58/6.16 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))),
% 8.58/6.16 inference(modus_ponens,[status(thm)],[15781, 15780])).
% 8.58/6.16 tff(15783,plain,
% 8.58/6.16 (v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15782, 815])).
% 8.58/6.16 tff(15784,plain,
% 8.58/6.16 (((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex1))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15785,plain,
% 8.58/6.16 ((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15784, 15710])).
% 8.58/6.16 tff(15786,plain,
% 8.58/6.16 ((~(v124(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))) | (~v124(constB73)) | (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))),
% 8.58/6.16 inference(tautology,[status(thm)],[])).
% 8.58/6.16 tff(15787,plain,
% 8.58/6.16 (~v124(constB73)),
% 8.58/6.16 inference(unit_resolution,[status(thm)],[15786, 15785, 15783])).
% 8.58/6.16 tff(15788,plain,
% 8.58/6.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15789,plain,
% 8.58/6.16 ((v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2))))) <=> (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))),
% 8.58/6.16 inference(rewrite,[status(thm)],[])).
% 8.58/6.16 tff(15790,plain,
% 8.58/6.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))))),
% 8.58/6.16 inference(monotonicity,[status(thm)],[15789])).
% 8.58/6.16 tff(15791,plain,
% 8.58/6.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(transitivity,[status(thm)],[15790, 15788])).
% 8.58/6.17 tff(15792,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15793,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15792, 15791])).
% 8.58/6.17 tff(15794,plain,
% 8.58/6.17 (v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15793, 919])).
% 8.58/6.17 tff(15795,plain,
% 8.58/6.17 (((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15796,plain,
% 8.58/6.17 ((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15795, 15710])).
% 8.58/6.17 tff(15797,plain,
% 8.58/6.17 ((~(v123(constB73) <=> (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0))))) | (~v123(constB73)) | (~((~v90(constB73, bitIndex2)) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0)))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15798,plain,
% 8.58/6.17 (~v123(constB73)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15797, 15796, 15794])).
% 8.58/6.17 tff(15799,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15800,plain,
% 8.58/6.17 ((v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1))))) <=> (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15801,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.17 inference(monotonicity,[status(thm)],[15800])).
% 8.58/6.17 tff(15802,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.17 inference(transitivity,[status(thm)],[15801, 15799])).
% 8.58/6.17 tff(15803,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1)))))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15804,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 8.58/6.17 tff(15805,plain,
% 8.58/6.17 (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15804, 1025])).
% 8.58/6.17 tff(15806,plain,
% 8.58/6.17 ((v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15807,plain,
% 8.58/6.17 (v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15806, 15648])).
% 8.58/6.17 tff(15808,plain,
% 8.58/6.17 ((~(v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))) | (~v122(constB73)) | (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15809,plain,
% 8.58/6.17 (~v122(constB73)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15808, 15807, 15805])).
% 8.58/6.17 tff(15810,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15811,plain,
% 8.58/6.17 ((v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1))))) <=> (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15812,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(monotonicity,[status(thm)],[15811])).
% 8.58/6.17 tff(15813,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(transitivity,[status(thm)],[15812, 15810])).
% 8.58/6.17 tff(15814,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)))))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15815,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15814, 15813])).
% 8.58/6.17 tff(15816,plain,
% 8.58/6.17 (v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15815, 1133])).
% 8.58/6.17 tff(15817,plain,
% 8.58/6.17 ((v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15818,plain,
% 8.58/6.17 (v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15817, 15648])).
% 8.58/6.17 tff(15819,plain,
% 8.58/6.17 ((~(v121(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0))))) | (~v121(constB73)) | (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | v90(constB73, bitIndex0)))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15820,plain,
% 8.58/6.17 (~v121(constB73)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15819, 15818, 15816])).
% 8.58/6.17 tff(15821,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15822,plain,
% 8.58/6.17 ((v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0))))) <=> (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15823,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.17 inference(monotonicity,[status(thm)],[15822])).
% 8.58/6.17 tff(15824,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))))),
% 8.58/6.17 inference(transitivity,[status(thm)],[15823, 15821])).
% 8.58/6.17 tff(15825,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15826,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15825, 15824])).
% 8.58/6.17 tff(15827,plain,
% 8.58/6.17 (v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15826, 610])).
% 8.58/6.17 tff(15828,plain,
% 8.58/6.17 ((v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15829,plain,
% 8.58/6.17 (v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15828, 15648])).
% 8.58/6.17 tff(15830,plain,
% 8.58/6.17 ((~(v120(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)))))) | (~v120(constB73)) | (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0))))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15831,plain,
% 8.58/6.17 (~v120(constB73)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15830, 15829, 15827])).
% 8.58/6.17 tff(15832,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15833,plain,
% 8.58/6.17 ((v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) <=> (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15834,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))))),
% 8.58/6.17 inference(monotonicity,[status(thm)],[15833])).
% 8.58/6.17 tff(15835,plain,
% 8.58/6.17 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))),
% 8.58/6.17 inference(transitivity,[status(thm)],[15834, 15832])).
% 8.58/6.17 tff(15836,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B))))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15837,plain,
% 8.58/6.17 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15836, 15835])).
% 8.58/6.17 tff(15838,plain,
% 8.58/6.17 (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | ![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15837, 10951])).
% 8.58/6.17 tff(15839,plain,
% 8.58/6.17 (![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15838, 15831, 15820, 15809, 15798, 15787, 15776])).
% 8.58/6.17 tff(15840,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b001(bitIndex2)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15841,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b001(bitIndex2)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15842,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB73, bitIndex2) <=> b001(bitIndex2))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15841, 15840])).
% 8.58/6.17 tff(15843,plain,
% 8.58/6.17 (v130(constB73, bitIndex2) <=> b001(bitIndex2)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15842, 648, 15839])).
% 8.58/6.17 tff(15844,plain,
% 8.58/6.17 ((~(v130(constB73, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB73, bitIndex2)) | b001(bitIndex2)),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15845,plain,
% 8.58/6.17 ((~(v130(constB73, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB73, bitIndex2))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15844, 9855])).
% 8.58/6.17 tff(15846,plain,
% 8.58/6.17 (~v130(constB73, bitIndex2)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15845, 15843])).
% 8.58/6.17 tff(15847,plain,
% 8.58/6.17 ((~(v127(constB73, bitIndex2) <=> v130(constB73, bitIndex2))) | (~v127(constB73, bitIndex2)) | v130(constB73, bitIndex2)),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15848,plain,
% 8.58/6.17 (~v127(constB73, bitIndex2)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15847, 15846, 15770])).
% 8.58/6.17 tff(15849,plain,
% 8.58/6.17 ((~(v129(constB74, bitIndex2) <=> v127(constB73, bitIndex2))) | (~v129(constB74, bitIndex2)) | v127(constB73, bitIndex2)),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15850,plain,
% 8.58/6.17 (~v129(constB74, bitIndex2)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15849, 15848, 15762])).
% 8.58/6.17 tff(15851,plain,
% 8.58/6.17 ((~(v90(constB74, bitIndex2) <=> v129(constB74, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2)),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15852,plain,
% 8.58/6.17 (~v90(constB74, bitIndex2)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15851, 15850, 15754])).
% 8.58/6.17 tff(15853,plain,
% 8.58/6.17 ((~(v90(constB75, bitIndex2) <=> v90(constB74, bitIndex2))) | (~v90(constB75, bitIndex2)) | v90(constB74, bitIndex2)),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15854,plain,
% 8.58/6.17 (~v90(constB75, bitIndex2)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15853, 15852, 6237])).
% 8.58/6.17 tff(15855,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15856,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15857,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15856, 15855])).
% 8.58/6.17 tff(15858,plain,
% 8.58/6.17 (v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15857, 9653, 6233])).
% 8.58/6.17 tff(15859,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15860,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15861,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex0)) | (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 8.58/6.17 tff(15862,plain,
% 8.58/6.17 (v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15861, 9653, 15750])).
% 8.58/6.17 tff(15863,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15864,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15865,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex0)) | (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15864, 15863])).
% 8.58/6.17 tff(15866,plain,
% 8.58/6.17 (v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15865, 9653, 15758])).
% 8.58/6.17 tff(15867,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15868,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15869,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex0)) | (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 8.58/6.17 tff(15870,plain,
% 8.58/6.17 (v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15869, 9653, 15766])).
% 8.58/6.17 tff(15871,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b001(bitIndex0)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15872,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b001(bitIndex0)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15873,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB73, bitIndex0) <=> b001(bitIndex0))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15872, 15871])).
% 8.58/6.17 tff(15874,plain,
% 8.58/6.17 (v130(constB73, bitIndex0) <=> b001(bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15873, 9653, 15839])).
% 8.58/6.17 tff(15875,plain,
% 8.58/6.17 ((~(v130(constB73, bitIndex0) <=> b001(bitIndex0))) | v130(constB73, bitIndex0) | (~b001(bitIndex0))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15876,plain,
% 8.58/6.17 ((~(v130(constB73, bitIndex0) <=> b001(bitIndex0))) | v130(constB73, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15875, 9889])).
% 8.58/6.17 tff(15877,plain,
% 8.58/6.17 (v130(constB73, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15876, 15874])).
% 8.58/6.17 tff(15878,plain,
% 8.58/6.17 ((~(v127(constB73, bitIndex0) <=> v130(constB73, bitIndex0))) | v127(constB73, bitIndex0) | (~v130(constB73, bitIndex0))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15879,plain,
% 8.58/6.17 (v127(constB73, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15878, 15877, 15870])).
% 8.58/6.17 tff(15880,plain,
% 8.58/6.17 ((~(v129(constB74, bitIndex0) <=> v127(constB73, bitIndex0))) | v129(constB74, bitIndex0) | (~v127(constB73, bitIndex0))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15881,plain,
% 8.58/6.17 (v129(constB74, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15880, 15879, 15866])).
% 8.58/6.17 tff(15882,plain,
% 8.58/6.17 ((~(v90(constB74, bitIndex0) <=> v129(constB74, bitIndex0))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15883,plain,
% 8.58/6.17 (v90(constB74, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15882, 15881, 15862])).
% 8.58/6.17 tff(15884,plain,
% 8.58/6.17 ((~(v90(constB75, bitIndex0) <=> v90(constB74, bitIndex0))) | v90(constB75, bitIndex0) | (~v90(constB74, bitIndex0))),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15885,plain,
% 8.58/6.17 (v90(constB75, bitIndex0)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15884, 15883, 15858])).
% 8.58/6.17 tff(15886,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15887,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15888,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB75, B) <=> v90(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 8.58/6.17 tff(15889,plain,
% 8.58/6.17 (v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15888, 375, 6233])).
% 8.58/6.17 tff(15890,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15891,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | ((~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15892,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v90(constB74, B) <=> v129(constB74, B)))) | (~less_3(bitIndex1)) | (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15891, 15890])).
% 8.58/6.17 tff(15893,plain,
% 8.58/6.17 (v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15892, 375, 15750])).
% 8.58/6.17 tff(15894,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15895,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | ((~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15896,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v129(constB74, B) <=> v127(constB73, B)))) | (~less_3(bitIndex1)) | (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15895, 15894])).
% 8.58/6.17 tff(15897,plain,
% 8.58/6.17 (v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15896, 375, 15758])).
% 8.58/6.17 tff(15898,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15899,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | ((~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15900,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v127(constB73, B) <=> v130(constB73, B)))) | (~less_3(bitIndex1)) | (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 8.58/6.17 tff(15901,plain,
% 8.58/6.17 (v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15900, 375, 15766])).
% 8.58/6.17 tff(15902,plain,
% 8.58/6.17 (((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b001(bitIndex1)))),
% 8.58/6.17 inference(rewrite,[status(thm)],[])).
% 8.58/6.17 tff(15903,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b001(bitIndex1)))),
% 8.58/6.17 inference(quant_inst,[status(thm)],[])).
% 8.58/6.17 tff(15904,plain,
% 8.58/6.17 ((~![B: $i] : ((~less_3(B)) | (v130(constB73, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB73, bitIndex1) <=> b001(bitIndex1))),
% 8.58/6.17 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 8.58/6.17 tff(15905,plain,
% 8.58/6.17 (v130(constB73, bitIndex1) <=> b001(bitIndex1)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15904, 375, 15839])).
% 8.58/6.17 tff(15906,plain,
% 8.58/6.17 ((~(v130(constB73, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB73, bitIndex1)) | b001(bitIndex1)),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15907,plain,
% 8.58/6.17 ((~(v130(constB73, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB73, bitIndex1))),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15906, 9923])).
% 8.58/6.17 tff(15908,plain,
% 8.58/6.17 (~v130(constB73, bitIndex1)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15907, 15905])).
% 8.58/6.17 tff(15909,plain,
% 8.58/6.17 ((~(v127(constB73, bitIndex1) <=> v130(constB73, bitIndex1))) | (~v127(constB73, bitIndex1)) | v130(constB73, bitIndex1)),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15910,plain,
% 8.58/6.17 (~v127(constB73, bitIndex1)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15909, 15908, 15901])).
% 8.58/6.17 tff(15911,plain,
% 8.58/6.17 ((~(v129(constB74, bitIndex1) <=> v127(constB73, bitIndex1))) | (~v129(constB74, bitIndex1)) | v127(constB73, bitIndex1)),
% 8.58/6.17 inference(tautology,[status(thm)],[])).
% 8.58/6.17 tff(15912,plain,
% 8.58/6.17 (~v129(constB74, bitIndex1)),
% 8.58/6.17 inference(unit_resolution,[status(thm)],[15911, 15910, 15897])).
% 8.58/6.17 tff(15913,plain,
% 8.58/6.17 ((~(v90(constB74, bitIndex1) <=> v129(constB74, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15914,plain,
% 8.58/6.18 (~v90(constB74, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15913, 15912, 15893])).
% 8.58/6.18 tff(15915,plain,
% 8.58/6.18 ((~(v90(constB75, bitIndex1) <=> v90(constB74, bitIndex1))) | (~v90(constB75, bitIndex1)) | v90(constB74, bitIndex1)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15916,plain,
% 8.58/6.18 (~v90(constB75, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15915, 15914, 15889])).
% 8.58/6.18 tff(15917,plain,
% 8.58/6.18 ((~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))) | v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15918,plain,
% 8.58/6.18 (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15917, 15916, 15885, 15854])).
% 8.58/6.18 tff(15919,plain,
% 8.58/6.18 ((~(v120(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))))) | v120(constB75) | (v90(constB75, bitIndex2) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15920,plain,
% 8.58/6.18 (v120(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15919, 15918, 6205])).
% 8.58/6.18 tff(15921,plain,
% 8.58/6.18 ((v119(constB75) | v120(constB75)) | (~v120(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15922,plain,
% 8.58/6.18 (v119(constB75) | v120(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15921, 15920])).
% 8.58/6.18 tff(15923,plain,
% 8.58/6.18 ((~(v118(constB75) <=> (v119(constB75) | v120(constB75)))) | v118(constB75) | (~(v119(constB75) | v120(constB75)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15924,plain,
% 8.58/6.18 (v118(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15923, 15922, 6198])).
% 8.58/6.18 tff(15925,plain,
% 8.58/6.18 ((v118(constB75) | v121(constB75)) | (~v118(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15926,plain,
% 8.58/6.18 (v118(constB75) | v121(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15925, 15924])).
% 8.58/6.18 tff(15927,plain,
% 8.58/6.18 ((~(v117(constB75) <=> (v118(constB75) | v121(constB75)))) | v117(constB75) | (~(v118(constB75) | v121(constB75)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15928,plain,
% 8.58/6.18 (v117(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15927, 15926, 6196])).
% 8.58/6.18 tff(15929,plain,
% 8.58/6.18 ((v117(constB75) | v122(constB75)) | (~v117(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15930,plain,
% 8.58/6.18 (v117(constB75) | v122(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15929, 15928])).
% 8.58/6.18 tff(15931,plain,
% 8.58/6.18 ((~(v116(constB75) <=> (v117(constB75) | v122(constB75)))) | v116(constB75) | (~(v117(constB75) | v122(constB75)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15932,plain,
% 8.58/6.18 (v116(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15931, 15930, 6194])).
% 8.58/6.18 tff(15933,plain,
% 8.58/6.18 ((v116(constB75) | v123(constB75)) | (~v116(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15934,plain,
% 8.58/6.18 (v116(constB75) | v123(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15933, 15932])).
% 8.58/6.18 tff(15935,plain,
% 8.58/6.18 ((~(v115(constB75) <=> (v116(constB75) | v123(constB75)))) | v115(constB75) | (~(v116(constB75) | v123(constB75)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15936,plain,
% 8.58/6.18 (v115(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15935, 15934, 6192])).
% 8.58/6.18 tff(15937,plain,
% 8.58/6.18 ((v115(constB75) | v124(constB75)) | (~v115(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15938,plain,
% 8.58/6.18 (v115(constB75) | v124(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15937, 15936])).
% 8.58/6.18 tff(15939,plain,
% 8.58/6.18 ((~(v114(constB75) <=> (v115(constB75) | v124(constB75)))) | v114(constB75) | (~(v115(constB75) | v124(constB75)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15940,plain,
% 8.58/6.18 (v114(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15939, 15938, 6190])).
% 8.58/6.18 tff(15941,plain,
% 8.58/6.18 ((v114(constB75) | v125(constB75)) | (~v114(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15942,plain,
% 8.58/6.18 (v114(constB75) | v125(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15941, 15940])).
% 8.58/6.18 tff(15943,plain,
% 8.58/6.18 ((~(v113(constB75) <=> (v114(constB75) | v125(constB75)))) | v113(constB75) | (~(v114(constB75) | v125(constB75)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15944,plain,
% 8.58/6.18 (v113(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15943, 15942, 6188])).
% 8.58/6.18 tff(15945,plain,
% 8.58/6.18 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB75)) <=> v111(constB75))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15946,plain,
% 8.58/6.18 ((~v126(constB75)) <=> v111(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15945, 9720])).
% 8.58/6.18 tff(15947,plain,
% 8.58/6.18 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB75) <=> v26(constB75))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15948,plain,
% 8.58/6.18 (v111(constB75) <=> v26(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15947, 9732])).
% 8.58/6.18 tff(15949,plain,
% 8.58/6.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15950,plain,
% 8.58/6.18 (~v26(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15949, 9744])).
% 8.58/6.18 tff(15951,plain,
% 8.58/6.18 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75)) | v26(constB75)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15952,plain,
% 8.58/6.18 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15951, 15950])).
% 8.58/6.18 tff(15953,plain,
% 8.58/6.18 (~v111(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15952, 15948])).
% 8.58/6.18 tff(15954,plain,
% 8.58/6.18 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75) | v111(constB75)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15955,plain,
% 8.58/6.18 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15954, 15953])).
% 8.58/6.18 tff(15956,plain,
% 8.58/6.18 (v126(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15955, 15946])).
% 8.58/6.18 tff(15957,plain,
% 8.58/6.18 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75)) | (~v126(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15958,plain,
% 8.58/6.18 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15957, 15956])).
% 8.58/6.18 tff(15959,plain,
% 8.58/6.18 (~((~v113(constB75)) | (~v126(constB75)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15958, 15944])).
% 8.58/6.18 tff(15960,plain,
% 8.58/6.18 ((~(v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))) | v112(constB75) | ((~v113(constB75)) | (~v126(constB75)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15961,plain,
% 8.58/6.18 (v112(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15960, 15959, 6186])).
% 8.58/6.18 tff(15962,plain,
% 8.58/6.18 ((v111(constB75) | v112(constB75)) | (~v112(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15963,plain,
% 8.58/6.18 (v111(constB75) | v112(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15962, 15961])).
% 8.58/6.18 tff(15964,plain,
% 8.58/6.18 ((~(v108(constB75) <=> (v111(constB75) | v112(constB75)))) | v108(constB75) | (~(v111(constB75) | v112(constB75)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15965,plain,
% 8.58/6.18 (v108(constB75)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15964, 15963, 6184])).
% 8.58/6.18 tff(15966,plain,
% 8.58/6.18 ((~(v110(constB76) <=> v108(constB75))) | v110(constB76) | (~v108(constB75))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15967,plain,
% 8.58/6.18 (v110(constB76)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15966, 15965, 6182])).
% 8.58/6.18 tff(15968,plain,
% 8.58/6.18 ((~((~v101(constB76)) | (~v110(constB76)))) | (~v101(constB76)) | (~v110(constB76))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15969,plain,
% 8.58/6.18 (~((~v101(constB76)) | (~v110(constB76)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15968, 15967, 6178])).
% 8.58/6.18 tff(15970,plain,
% 8.58/6.18 ((~(v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))) | v100(constB76) | ((~v101(constB76)) | (~v110(constB76)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(15971,plain,
% 8.58/6.18 (v100(constB76)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15970, 15969, 6147])).
% 8.58/6.18 tff(15972,plain,
% 8.58/6.18 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B))))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(15973,plain,
% 8.58/6.18 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B))))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15974,plain,
% 8.58/6.18 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 8.58/6.18 tff(15975,plain,
% 8.58/6.18 ((~v100(constB76)) | ![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15974, 9780])).
% 8.58/6.18 tff(15976,plain,
% 8.58/6.18 (![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15975, 15971])).
% 8.58/6.18 tff(15977,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(15978,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15979,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex2)) | (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[15978, 15977])).
% 8.58/6.18 tff(15980,plain,
% 8.58/6.18 (v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15979, 648, 15976])).
% 8.58/6.18 tff(15981,plain,
% 8.58/6.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B))))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(15982,plain,
% 8.58/6.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B))))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15983,plain,
% 8.58/6.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[15982, 15981])).
% 8.58/6.18 tff(15984,plain,
% 8.58/6.18 (![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15983, 6143, 9802])).
% 8.58/6.18 tff(15985,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(15986,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15987,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex2)) | (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[15986, 15985])).
% 8.58/6.18 tff(15988,plain,
% 8.58/6.18 (v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15987, 648, 15984])).
% 8.58/6.18 tff(15989,plain,
% 8.58/6.18 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB75) | ![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB75) | ![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B))))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(15990,plain,
% 8.58/6.18 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB75) | ![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B))))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15991,plain,
% 8.58/6.18 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB75) | ![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[15990, 15989])).
% 8.58/6.18 tff(15992,plain,
% 8.58/6.18 (![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15991, 9823, 15953])).
% 8.58/6.18 tff(15993,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(15994,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15995,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex2)) | (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[15994, 15993])).
% 8.58/6.18 tff(15996,plain,
% 8.58/6.18 (v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15995, 648, 15992])).
% 8.58/6.18 tff(15997,plain,
% 8.58/6.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB75)) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB75)) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B))))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(15998,plain,
% 8.58/6.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB75)) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B))))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(15999,plain,
% 8.58/6.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB75)) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[15998, 15997])).
% 8.58/6.18 tff(16000,plain,
% 8.58/6.18 ((~v120(constB75)) | ![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[15999, 10027])).
% 8.58/6.18 tff(16001,plain,
% 8.58/6.18 (![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16000, 15920])).
% 8.58/6.18 tff(16002,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b010(bitIndex2)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16003,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b010(bitIndex2)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16004,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB75, bitIndex2) <=> b010(bitIndex2))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16003, 16002])).
% 8.58/6.18 tff(16005,plain,
% 8.58/6.18 (v130(constB75, bitIndex2) <=> b010(bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16004, 648, 16001])).
% 8.58/6.18 tff(16006,plain,
% 8.58/6.18 ((~(v130(constB75, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB75, bitIndex2)) | b010(bitIndex2)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16007,plain,
% 8.58/6.18 ((~(v130(constB75, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB75, bitIndex2))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16006, 10039])).
% 8.58/6.18 tff(16008,plain,
% 8.58/6.18 (~v130(constB75, bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16007, 16005])).
% 8.58/6.18 tff(16009,plain,
% 8.58/6.18 ((~(v127(constB75, bitIndex2) <=> v130(constB75, bitIndex2))) | (~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16010,plain,
% 8.58/6.18 (~v127(constB75, bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16009, 16008, 15996])).
% 8.58/6.18 tff(16011,plain,
% 8.58/6.18 ((~(v129(constB76, bitIndex2) <=> v127(constB75, bitIndex2))) | (~v129(constB76, bitIndex2)) | v127(constB75, bitIndex2)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16012,plain,
% 8.58/6.18 (~v129(constB76, bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16011, 16010, 15988])).
% 8.58/6.18 tff(16013,plain,
% 8.58/6.18 ((~(v90(constB76, bitIndex2) <=> v129(constB76, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16014,plain,
% 8.58/6.18 (~v90(constB76, bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16013, 16012, 15980])).
% 8.58/6.18 tff(16015,plain,
% 8.58/6.18 ((~(v90(constB77, bitIndex2) <=> v90(constB76, bitIndex2))) | (~v90(constB77, bitIndex2)) | v90(constB76, bitIndex2)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16016,plain,
% 8.58/6.18 (~v90(constB77, bitIndex2)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16015, 16014, 6140])).
% 8.58/6.18 tff(16017,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16018,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16019,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 8.58/6.18 tff(16020,plain,
% 8.58/6.18 (v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16019, 9653, 6136])).
% 8.58/6.18 tff(16021,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16022,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16023,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex0)) | (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16022, 16021])).
% 8.58/6.18 tff(16024,plain,
% 8.58/6.18 (v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16023, 9653, 15976])).
% 8.58/6.18 tff(16025,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16026,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16027,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex0)) | (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16026, 16025])).
% 8.58/6.18 tff(16028,plain,
% 8.58/6.18 (v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16027, 9653, 15984])).
% 8.58/6.18 tff(16029,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16030,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16031,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex0)) | (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 8.58/6.18 tff(16032,plain,
% 8.58/6.18 (v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16031, 9653, 15992])).
% 8.58/6.18 tff(16033,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b010(bitIndex0)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16034,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b010(bitIndex0)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16035,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB75, bitIndex0) <=> b010(bitIndex0))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16034, 16033])).
% 8.58/6.18 tff(16036,plain,
% 8.58/6.18 (v130(constB75, bitIndex0) <=> b010(bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16035, 9653, 16001])).
% 8.58/6.18 tff(16037,plain,
% 8.58/6.18 ((~(v130(constB75, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB75, bitIndex0)) | b010(bitIndex0)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16038,plain,
% 8.58/6.18 ((~(v130(constB75, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB75, bitIndex0))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16037, 10073])).
% 8.58/6.18 tff(16039,plain,
% 8.58/6.18 (~v130(constB75, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16038, 16036])).
% 8.58/6.18 tff(16040,plain,
% 8.58/6.18 ((~(v127(constB75, bitIndex0) <=> v130(constB75, bitIndex0))) | (~v127(constB75, bitIndex0)) | v130(constB75, bitIndex0)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16041,plain,
% 8.58/6.18 (~v127(constB75, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16040, 16039, 16032])).
% 8.58/6.18 tff(16042,plain,
% 8.58/6.18 ((~(v129(constB76, bitIndex0) <=> v127(constB75, bitIndex0))) | (~v129(constB76, bitIndex0)) | v127(constB75, bitIndex0)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16043,plain,
% 8.58/6.18 (~v129(constB76, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16042, 16041, 16028])).
% 8.58/6.18 tff(16044,plain,
% 8.58/6.18 ((~(v90(constB76, bitIndex0) <=> v129(constB76, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16045,plain,
% 8.58/6.18 (~v90(constB76, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16044, 16043, 16024])).
% 8.58/6.18 tff(16046,plain,
% 8.58/6.18 ((~(v90(constB77, bitIndex0) <=> v90(constB76, bitIndex0))) | (~v90(constB77, bitIndex0)) | v90(constB76, bitIndex0)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16047,plain,
% 8.58/6.18 (~v90(constB77, bitIndex0)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16046, 16045, 16020])).
% 8.58/6.18 tff(16048,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16049,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16050,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB77, B) <=> v90(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16049, 16048])).
% 8.58/6.18 tff(16051,plain,
% 8.58/6.18 (v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16050, 375, 6136])).
% 8.58/6.18 tff(16052,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16053,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | ((~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16054,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v90(constB76, B) <=> v129(constB76, B)))) | (~less_3(bitIndex1)) | (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 8.58/6.18 tff(16055,plain,
% 8.58/6.18 (v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16054, 375, 15976])).
% 8.58/6.18 tff(16056,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16057,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | ((~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16058,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v129(constB76, B) <=> v127(constB75, B)))) | (~less_3(bitIndex1)) | (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16057, 16056])).
% 8.58/6.18 tff(16059,plain,
% 8.58/6.18 (v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16058, 375, 15984])).
% 8.58/6.18 tff(16060,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16061,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | ((~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16062,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v127(constB75, B) <=> v130(constB75, B)))) | (~less_3(bitIndex1)) | (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 8.58/6.18 tff(16063,plain,
% 8.58/6.18 (v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16062, 375, 15992])).
% 8.58/6.18 tff(16064,plain,
% 8.58/6.18 (((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b010(bitIndex1)))),
% 8.58/6.18 inference(rewrite,[status(thm)],[])).
% 8.58/6.18 tff(16065,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b010(bitIndex1)))),
% 8.58/6.18 inference(quant_inst,[status(thm)],[])).
% 8.58/6.18 tff(16066,plain,
% 8.58/6.18 ((~![B: $i] : ((~less_3(B)) | (v130(constB75, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB75, bitIndex1) <=> b010(bitIndex1))),
% 8.58/6.18 inference(modus_ponens,[status(thm)],[16065, 16064])).
% 8.58/6.18 tff(16067,plain,
% 8.58/6.18 (v130(constB75, bitIndex1) <=> b010(bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16066, 375, 16001])).
% 8.58/6.18 tff(16068,plain,
% 8.58/6.18 ((~(v130(constB75, bitIndex1) <=> b010(bitIndex1))) | v130(constB75, bitIndex1) | (~b010(bitIndex1))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16069,plain,
% 8.58/6.18 ((~(v130(constB75, bitIndex1) <=> b010(bitIndex1))) | v130(constB75, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16068, 10107])).
% 8.58/6.18 tff(16070,plain,
% 8.58/6.18 (v130(constB75, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16069, 16067])).
% 8.58/6.18 tff(16071,plain,
% 8.58/6.18 ((~(v127(constB75, bitIndex1) <=> v130(constB75, bitIndex1))) | v127(constB75, bitIndex1) | (~v130(constB75, bitIndex1))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16072,plain,
% 8.58/6.18 (v127(constB75, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16071, 16070, 16063])).
% 8.58/6.18 tff(16073,plain,
% 8.58/6.18 ((~(v129(constB76, bitIndex1) <=> v127(constB75, bitIndex1))) | v129(constB76, bitIndex1) | (~v127(constB75, bitIndex1))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16074,plain,
% 8.58/6.18 (v129(constB76, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16073, 16072, 16059])).
% 8.58/6.18 tff(16075,plain,
% 8.58/6.18 ((~(v90(constB76, bitIndex1) <=> v129(constB76, bitIndex1))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16076,plain,
% 8.58/6.18 (v90(constB76, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16075, 16074, 16055])).
% 8.58/6.18 tff(16077,plain,
% 8.58/6.18 ((~(v90(constB77, bitIndex1) <=> v90(constB76, bitIndex1))) | v90(constB77, bitIndex1) | (~v90(constB76, bitIndex1))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16078,plain,
% 8.58/6.18 (v90(constB77, bitIndex1)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16077, 16076, 16051])).
% 8.58/6.18 tff(16079,plain,
% 8.58/6.18 ((~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0)),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16080,plain,
% 8.58/6.18 (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16079, 16078, 16047, 16016])).
% 8.58/6.18 tff(16081,plain,
% 8.58/6.18 ((~(v121(constB77) <=> (~(v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))))) | v121(constB77) | (v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex0))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16082,plain,
% 8.58/6.18 (v121(constB77)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16081, 16080, 6108])).
% 8.58/6.18 tff(16083,plain,
% 8.58/6.18 ((v118(constB77) | v121(constB77)) | (~v121(constB77))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16084,plain,
% 8.58/6.18 (v118(constB77) | v121(constB77)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16083, 16082])).
% 8.58/6.18 tff(16085,plain,
% 8.58/6.18 ((~(v117(constB77) <=> (v118(constB77) | v121(constB77)))) | v117(constB77) | (~(v118(constB77) | v121(constB77)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16086,plain,
% 8.58/6.18 (v117(constB77)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16085, 16084, 6101])).
% 8.58/6.18 tff(16087,plain,
% 8.58/6.18 ((v117(constB77) | v122(constB77)) | (~v117(constB77))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.18 tff(16088,plain,
% 8.58/6.18 (v117(constB77) | v122(constB77)),
% 8.58/6.18 inference(unit_resolution,[status(thm)],[16087, 16086])).
% 8.58/6.18 tff(16089,plain,
% 8.58/6.18 ((~(v116(constB77) <=> (v117(constB77) | v122(constB77)))) | v116(constB77) | (~(v117(constB77) | v122(constB77)))),
% 8.58/6.18 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16090,plain,
% 8.58/6.19 (v116(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16089, 16088, 6099])).
% 8.58/6.19 tff(16091,plain,
% 8.58/6.19 ((v116(constB77) | v123(constB77)) | (~v116(constB77))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16092,plain,
% 8.58/6.19 (v116(constB77) | v123(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16091, 16090])).
% 8.58/6.19 tff(16093,plain,
% 8.58/6.19 ((~(v115(constB77) <=> (v116(constB77) | v123(constB77)))) | v115(constB77) | (~(v116(constB77) | v123(constB77)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16094,plain,
% 8.58/6.19 (v115(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16093, 16092, 6097])).
% 8.58/6.19 tff(16095,plain,
% 8.58/6.19 ((v115(constB77) | v124(constB77)) | (~v115(constB77))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16096,plain,
% 8.58/6.19 (v115(constB77) | v124(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16095, 16094])).
% 8.58/6.19 tff(16097,plain,
% 8.58/6.19 ((~(v114(constB77) <=> (v115(constB77) | v124(constB77)))) | v114(constB77) | (~(v115(constB77) | v124(constB77)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16098,plain,
% 8.58/6.19 (v114(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16097, 16096, 6095])).
% 8.58/6.19 tff(16099,plain,
% 8.58/6.19 ((v114(constB77) | v125(constB77)) | (~v114(constB77))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16100,plain,
% 8.58/6.19 (v114(constB77) | v125(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16099, 16098])).
% 8.58/6.19 tff(16101,plain,
% 8.58/6.19 ((~(v113(constB77) <=> (v114(constB77) | v125(constB77)))) | v113(constB77) | (~(v114(constB77) | v125(constB77)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16102,plain,
% 8.58/6.19 (v113(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16101, 16100, 6093])).
% 8.58/6.19 tff(16103,plain,
% 8.58/6.19 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB77)) <=> v111(constB77))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16104,plain,
% 8.58/6.19 ((~v126(constB77)) <=> v111(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16103, 9720])).
% 8.58/6.19 tff(16105,plain,
% 8.58/6.19 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB77) <=> v26(constB77))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16106,plain,
% 8.58/6.19 (v111(constB77) <=> v26(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16105, 9732])).
% 8.58/6.19 tff(16107,plain,
% 8.58/6.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16108,plain,
% 8.58/6.19 (~v26(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16107, 9744])).
% 8.58/6.19 tff(16109,plain,
% 8.58/6.19 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77)) | v26(constB77)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16110,plain,
% 8.58/6.19 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16109, 16108])).
% 8.58/6.19 tff(16111,plain,
% 8.58/6.19 (~v111(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16110, 16106])).
% 8.58/6.19 tff(16112,plain,
% 8.58/6.19 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77) | v111(constB77)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16113,plain,
% 8.58/6.19 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16112, 16111])).
% 8.58/6.19 tff(16114,plain,
% 8.58/6.19 (v126(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16113, 16104])).
% 8.58/6.19 tff(16115,plain,
% 8.58/6.19 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77)) | (~v126(constB77))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16116,plain,
% 8.58/6.19 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16115, 16114])).
% 8.58/6.19 tff(16117,plain,
% 8.58/6.19 (~((~v113(constB77)) | (~v126(constB77)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16116, 16102])).
% 8.58/6.19 tff(16118,plain,
% 8.58/6.19 ((~(v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))) | v112(constB77) | ((~v113(constB77)) | (~v126(constB77)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16119,plain,
% 8.58/6.19 (v112(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16118, 16117, 6091])).
% 8.58/6.19 tff(16120,plain,
% 8.58/6.19 ((v111(constB77) | v112(constB77)) | (~v112(constB77))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16121,plain,
% 8.58/6.19 (v111(constB77) | v112(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16120, 16119])).
% 8.58/6.19 tff(16122,plain,
% 8.58/6.19 ((~(v108(constB77) <=> (v111(constB77) | v112(constB77)))) | v108(constB77) | (~(v111(constB77) | v112(constB77)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16123,plain,
% 8.58/6.19 (v108(constB77)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16122, 16121, 6089])).
% 8.58/6.19 tff(16124,plain,
% 8.58/6.19 ((~(v110(constB78) <=> v108(constB77))) | v110(constB78) | (~v108(constB77))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16125,plain,
% 8.58/6.19 (v110(constB78)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16124, 16123, 6087])).
% 8.58/6.19 tff(16126,plain,
% 8.58/6.19 ((~((~v101(constB78)) | (~v110(constB78)))) | (~v101(constB78)) | (~v110(constB78))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16127,plain,
% 8.58/6.19 (~((~v101(constB78)) | (~v110(constB78)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16126, 16125, 6083])).
% 8.58/6.19 tff(16128,plain,
% 8.58/6.19 ((~(v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))) | v100(constB78) | ((~v101(constB78)) | (~v110(constB78)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16129,plain,
% 8.58/6.19 (v100(constB78)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16128, 16127, 6052])).
% 8.58/6.19 tff(16130,plain,
% 8.58/6.19 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B))))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16131,plain,
% 8.58/6.19 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B))))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16132,plain,
% 8.58/6.19 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 8.58/6.19 tff(16133,plain,
% 8.58/6.19 ((~v100(constB78)) | ![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16132, 9780])).
% 8.58/6.19 tff(16134,plain,
% 8.58/6.19 (![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16133, 16129])).
% 8.58/6.19 tff(16135,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16136,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16137,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex2)) | (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16136, 16135])).
% 8.58/6.19 tff(16138,plain,
% 8.58/6.19 (v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16137, 648, 16134])).
% 8.58/6.19 tff(16139,plain,
% 8.58/6.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B))))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16140,plain,
% 8.58/6.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B))))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16141,plain,
% 8.58/6.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16140, 16139])).
% 8.58/6.19 tff(16142,plain,
% 8.58/6.19 (![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16141, 6048, 9802])).
% 8.58/6.19 tff(16143,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16144,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16145,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex2)) | (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16144, 16143])).
% 8.58/6.19 tff(16146,plain,
% 8.58/6.19 (v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16145, 648, 16142])).
% 8.58/6.19 tff(16147,plain,
% 8.58/6.19 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB77) | ![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB77) | ![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B))))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16148,plain,
% 8.58/6.19 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB77) | ![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B))))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16149,plain,
% 8.58/6.19 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB77) | ![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16148, 16147])).
% 8.58/6.19 tff(16150,plain,
% 8.58/6.19 (![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16149, 9823, 16111])).
% 8.58/6.19 tff(16151,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16152,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16153,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex2)) | (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16152, 16151])).
% 8.58/6.19 tff(16154,plain,
% 8.58/6.19 (v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16153, 648, 16150])).
% 8.58/6.19 tff(16155,plain,
% 8.58/6.19 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B))))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16156,plain,
% 8.58/6.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B))))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16157,plain,
% 8.58/6.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16156, 16155])).
% 8.58/6.19 tff(16158,plain,
% 8.58/6.19 ((~v121(constB77)) | ![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16157, 10207])).
% 8.58/6.19 tff(16159,plain,
% 8.58/6.19 (![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16158, 16082])).
% 8.58/6.19 tff(16160,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b011(bitIndex2)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16161,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b011(bitIndex2)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16162,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB77, bitIndex2) <=> b011(bitIndex2))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16161, 16160])).
% 8.58/6.19 tff(16163,plain,
% 8.58/6.19 (v130(constB77, bitIndex2) <=> b011(bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16162, 648, 16159])).
% 8.58/6.19 tff(16164,plain,
% 8.58/6.19 ((~(v130(constB77, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB77, bitIndex2)) | b011(bitIndex2)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16165,plain,
% 8.58/6.19 ((~(v130(constB77, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB77, bitIndex2))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16164, 10219])).
% 8.58/6.19 tff(16166,plain,
% 8.58/6.19 (~v130(constB77, bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16165, 16163])).
% 8.58/6.19 tff(16167,plain,
% 8.58/6.19 ((~(v127(constB77, bitIndex2) <=> v130(constB77, bitIndex2))) | (~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16168,plain,
% 8.58/6.19 (~v127(constB77, bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16167, 16166, 16154])).
% 8.58/6.19 tff(16169,plain,
% 8.58/6.19 ((~(v129(constB78, bitIndex2) <=> v127(constB77, bitIndex2))) | (~v129(constB78, bitIndex2)) | v127(constB77, bitIndex2)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16170,plain,
% 8.58/6.19 (~v129(constB78, bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16169, 16168, 16146])).
% 8.58/6.19 tff(16171,plain,
% 8.58/6.19 ((~(v90(constB78, bitIndex2) <=> v129(constB78, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16172,plain,
% 8.58/6.19 (~v90(constB78, bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16171, 16170, 16138])).
% 8.58/6.19 tff(16173,plain,
% 8.58/6.19 ((~(v90(constB79, bitIndex2) <=> v90(constB78, bitIndex2))) | (~v90(constB79, bitIndex2)) | v90(constB78, bitIndex2)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16174,plain,
% 8.58/6.19 (~v90(constB79, bitIndex2)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16173, 16172, 6045])).
% 8.58/6.19 tff(16175,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16176,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16177,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 8.58/6.19 tff(16178,plain,
% 8.58/6.19 (v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16177, 9653, 6041])).
% 8.58/6.19 tff(16179,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16180,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16181,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex0)) | (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16180, 16179])).
% 8.58/6.19 tff(16182,plain,
% 8.58/6.19 (v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16181, 9653, 16134])).
% 8.58/6.19 tff(16183,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16184,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16185,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex0)) | (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16184, 16183])).
% 8.58/6.19 tff(16186,plain,
% 8.58/6.19 (v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16185, 9653, 16142])).
% 8.58/6.19 tff(16187,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16188,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16189,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex0)) | (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 8.58/6.19 tff(16190,plain,
% 8.58/6.19 (v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16189, 9653, 16150])).
% 8.58/6.19 tff(16191,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b011(bitIndex0)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16192,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b011(bitIndex0)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16193,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB77, bitIndex0) <=> b011(bitIndex0))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16192, 16191])).
% 8.58/6.19 tff(16194,plain,
% 8.58/6.19 (v130(constB77, bitIndex0) <=> b011(bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16193, 9653, 16159])).
% 8.58/6.19 tff(16195,plain,
% 8.58/6.19 ((~(v130(constB77, bitIndex0) <=> b011(bitIndex0))) | v130(constB77, bitIndex0) | (~b011(bitIndex0))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16196,plain,
% 8.58/6.19 ((~(v130(constB77, bitIndex0) <=> b011(bitIndex0))) | v130(constB77, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16195, 10253])).
% 8.58/6.19 tff(16197,plain,
% 8.58/6.19 (v130(constB77, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16196, 16194])).
% 8.58/6.19 tff(16198,plain,
% 8.58/6.19 ((~(v127(constB77, bitIndex0) <=> v130(constB77, bitIndex0))) | v127(constB77, bitIndex0) | (~v130(constB77, bitIndex0))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16199,plain,
% 8.58/6.19 (v127(constB77, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16198, 16197, 16190])).
% 8.58/6.19 tff(16200,plain,
% 8.58/6.19 ((~(v129(constB78, bitIndex0) <=> v127(constB77, bitIndex0))) | v129(constB78, bitIndex0) | (~v127(constB77, bitIndex0))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16201,plain,
% 8.58/6.19 (v129(constB78, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16200, 16199, 16186])).
% 8.58/6.19 tff(16202,plain,
% 8.58/6.19 ((~(v90(constB78, bitIndex0) <=> v129(constB78, bitIndex0))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16203,plain,
% 8.58/6.19 (v90(constB78, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16202, 16201, 16182])).
% 8.58/6.19 tff(16204,plain,
% 8.58/6.19 ((~(v90(constB79, bitIndex0) <=> v90(constB78, bitIndex0))) | v90(constB79, bitIndex0) | (~v90(constB78, bitIndex0))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16205,plain,
% 8.58/6.19 (v90(constB79, bitIndex0)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16204, 16203, 16178])).
% 8.58/6.19 tff(16206,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16207,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16208,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB79, B) <=> v90(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16207, 16206])).
% 8.58/6.19 tff(16209,plain,
% 8.58/6.19 (v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16208, 375, 6041])).
% 8.58/6.19 tff(16210,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16211,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | ((~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16212,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v90(constB78, B) <=> v129(constB78, B)))) | (~less_3(bitIndex1)) | (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16211, 16210])).
% 8.58/6.19 tff(16213,plain,
% 8.58/6.19 (v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16212, 375, 16134])).
% 8.58/6.19 tff(16214,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16215,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | ((~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16216,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v129(constB78, B) <=> v127(constB77, B)))) | (~less_3(bitIndex1)) | (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16215, 16214])).
% 8.58/6.19 tff(16217,plain,
% 8.58/6.19 (v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16216, 375, 16142])).
% 8.58/6.19 tff(16218,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16219,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | ((~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16220,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v127(constB77, B) <=> v130(constB77, B)))) | (~less_3(bitIndex1)) | (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16219, 16218])).
% 8.58/6.19 tff(16221,plain,
% 8.58/6.19 (v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16220, 375, 16150])).
% 8.58/6.19 tff(16222,plain,
% 8.58/6.19 (((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b011(bitIndex1)))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16223,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b011(bitIndex1)))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16224,plain,
% 8.58/6.19 ((~![B: $i] : ((~less_3(B)) | (v130(constB77, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB77, bitIndex1) <=> b011(bitIndex1))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16223, 16222])).
% 8.58/6.19 tff(16225,plain,
% 8.58/6.19 (v130(constB77, bitIndex1) <=> b011(bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16224, 375, 16159])).
% 8.58/6.19 tff(16226,plain,
% 8.58/6.19 ((~(v130(constB77, bitIndex1) <=> b011(bitIndex1))) | v130(constB77, bitIndex1) | (~b011(bitIndex1))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16227,plain,
% 8.58/6.19 ((~(v130(constB77, bitIndex1) <=> b011(bitIndex1))) | v130(constB77, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16226, 10287])).
% 8.58/6.19 tff(16228,plain,
% 8.58/6.19 (v130(constB77, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16227, 16225])).
% 8.58/6.19 tff(16229,plain,
% 8.58/6.19 ((~(v127(constB77, bitIndex1) <=> v130(constB77, bitIndex1))) | v127(constB77, bitIndex1) | (~v130(constB77, bitIndex1))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16230,plain,
% 8.58/6.19 (v127(constB77, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16229, 16228, 16221])).
% 8.58/6.19 tff(16231,plain,
% 8.58/6.19 ((~(v129(constB78, bitIndex1) <=> v127(constB77, bitIndex1))) | v129(constB78, bitIndex1) | (~v127(constB77, bitIndex1))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16232,plain,
% 8.58/6.19 (v129(constB78, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16231, 16230, 16217])).
% 8.58/6.19 tff(16233,plain,
% 8.58/6.19 ((~(v90(constB78, bitIndex1) <=> v129(constB78, bitIndex1))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16234,plain,
% 8.58/6.19 (v90(constB78, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16233, 16232, 16213])).
% 8.58/6.19 tff(16235,plain,
% 8.58/6.19 ((~(v90(constB79, bitIndex1) <=> v90(constB78, bitIndex1))) | v90(constB79, bitIndex1) | (~v90(constB78, bitIndex1))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16236,plain,
% 8.58/6.19 (v90(constB79, bitIndex1)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16235, 16234, 16209])).
% 8.58/6.19 tff(16237,plain,
% 8.58/6.19 ((~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16238,plain,
% 8.58/6.19 (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16237, 16236, 16205, 16174])).
% 8.58/6.19 tff(16239,plain,
% 8.58/6.19 ((~(v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))) | v122(constB79) | (v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16240,plain,
% 8.58/6.19 (v122(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16239, 16238, 6013])).
% 8.58/6.19 tff(16241,plain,
% 8.58/6.19 ((v117(constB79) | v122(constB79)) | (~v122(constB79))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16242,plain,
% 8.58/6.19 (v117(constB79) | v122(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16241, 16240])).
% 8.58/6.19 tff(16243,plain,
% 8.58/6.19 ((~(v116(constB79) <=> (v117(constB79) | v122(constB79)))) | v116(constB79) | (~(v117(constB79) | v122(constB79)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16244,plain,
% 8.58/6.19 (v116(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16243, 16242, 6006])).
% 8.58/6.19 tff(16245,plain,
% 8.58/6.19 ((v116(constB79) | v123(constB79)) | (~v116(constB79))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16246,plain,
% 8.58/6.19 (v116(constB79) | v123(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16245, 16244])).
% 8.58/6.19 tff(16247,plain,
% 8.58/6.19 ((~(v115(constB79) <=> (v116(constB79) | v123(constB79)))) | v115(constB79) | (~(v116(constB79) | v123(constB79)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16248,plain,
% 8.58/6.19 (v115(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16247, 16246, 6004])).
% 8.58/6.19 tff(16249,plain,
% 8.58/6.19 ((v115(constB79) | v124(constB79)) | (~v115(constB79))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16250,plain,
% 8.58/6.19 (v115(constB79) | v124(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16249, 16248])).
% 8.58/6.19 tff(16251,plain,
% 8.58/6.19 ((~(v114(constB79) <=> (v115(constB79) | v124(constB79)))) | v114(constB79) | (~(v115(constB79) | v124(constB79)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16252,plain,
% 8.58/6.19 (v114(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16251, 16250, 6002])).
% 8.58/6.19 tff(16253,plain,
% 8.58/6.19 ((v114(constB79) | v125(constB79)) | (~v114(constB79))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16254,plain,
% 8.58/6.19 (v114(constB79) | v125(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16253, 16252])).
% 8.58/6.19 tff(16255,plain,
% 8.58/6.19 ((~(v113(constB79) <=> (v114(constB79) | v125(constB79)))) | v113(constB79) | (~(v114(constB79) | v125(constB79)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16256,plain,
% 8.58/6.19 (v113(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16255, 16254, 6000])).
% 8.58/6.19 tff(16257,plain,
% 8.58/6.19 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB79)) <=> v111(constB79))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16258,plain,
% 8.58/6.19 ((~v126(constB79)) <=> v111(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16257, 9720])).
% 8.58/6.19 tff(16259,plain,
% 8.58/6.19 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB79) <=> v26(constB79))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16260,plain,
% 8.58/6.19 (v111(constB79) <=> v26(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16259, 9732])).
% 8.58/6.19 tff(16261,plain,
% 8.58/6.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16262,plain,
% 8.58/6.19 (~v26(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16261, 9744])).
% 8.58/6.19 tff(16263,plain,
% 8.58/6.19 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79)) | v26(constB79)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16264,plain,
% 8.58/6.19 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16263, 16262])).
% 8.58/6.19 tff(16265,plain,
% 8.58/6.19 (~v111(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16264, 16260])).
% 8.58/6.19 tff(16266,plain,
% 8.58/6.19 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79) | v111(constB79)),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16267,plain,
% 8.58/6.19 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16266, 16265])).
% 8.58/6.19 tff(16268,plain,
% 8.58/6.19 (v126(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16267, 16258])).
% 8.58/6.19 tff(16269,plain,
% 8.58/6.19 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79)) | (~v126(constB79))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16270,plain,
% 8.58/6.19 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16269, 16268])).
% 8.58/6.19 tff(16271,plain,
% 8.58/6.19 (~((~v113(constB79)) | (~v126(constB79)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16270, 16256])).
% 8.58/6.19 tff(16272,plain,
% 8.58/6.19 ((~(v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))) | v112(constB79) | ((~v113(constB79)) | (~v126(constB79)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16273,plain,
% 8.58/6.19 (v112(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16272, 16271, 5998])).
% 8.58/6.19 tff(16274,plain,
% 8.58/6.19 ((v111(constB79) | v112(constB79)) | (~v112(constB79))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16275,plain,
% 8.58/6.19 (v111(constB79) | v112(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16274, 16273])).
% 8.58/6.19 tff(16276,plain,
% 8.58/6.19 ((~(v108(constB79) <=> (v111(constB79) | v112(constB79)))) | v108(constB79) | (~(v111(constB79) | v112(constB79)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16277,plain,
% 8.58/6.19 (v108(constB79)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16276, 16275, 5996])).
% 8.58/6.19 tff(16278,plain,
% 8.58/6.19 ((~(v110(constB80) <=> v108(constB79))) | v110(constB80) | (~v108(constB79))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16279,plain,
% 8.58/6.19 (v110(constB80)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16278, 16277, 5994])).
% 8.58/6.19 tff(16280,plain,
% 8.58/6.19 ((~((~v101(constB80)) | (~v110(constB80)))) | (~v101(constB80)) | (~v110(constB80))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16281,plain,
% 8.58/6.19 (~((~v101(constB80)) | (~v110(constB80)))),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16280, 16279, 5990])).
% 8.58/6.19 tff(16282,plain,
% 8.58/6.19 ((~(v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))) | v100(constB80) | ((~v101(constB80)) | (~v110(constB80)))),
% 8.58/6.19 inference(tautology,[status(thm)],[])).
% 8.58/6.19 tff(16283,plain,
% 8.58/6.19 (v100(constB80)),
% 8.58/6.19 inference(unit_resolution,[status(thm)],[16282, 16281, 5959])).
% 8.58/6.19 tff(16284,plain,
% 8.58/6.19 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B))))),
% 8.58/6.19 inference(rewrite,[status(thm)],[])).
% 8.58/6.19 tff(16285,plain,
% 8.58/6.19 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B))))),
% 8.58/6.19 inference(quant_inst,[status(thm)],[])).
% 8.58/6.19 tff(16286,plain,
% 8.58/6.19 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))),
% 8.58/6.19 inference(modus_ponens,[status(thm)],[16285, 16284])).
% 8.58/6.19 tff(16287,plain,
% 8.58/6.19 ((~v100(constB80)) | ![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16286, 9780])).
% 8.62/6.20 tff(16288,plain,
% 8.62/6.20 (![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16287, 16283])).
% 8.62/6.20 tff(16289,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16290,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16291,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex2)) | (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16290, 16289])).
% 8.62/6.20 tff(16292,plain,
% 8.62/6.20 (v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16291, 648, 16288])).
% 8.62/6.20 tff(16293,plain,
% 8.62/6.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B))))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16294,plain,
% 8.62/6.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B))))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16295,plain,
% 8.62/6.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 8.62/6.20 tff(16296,plain,
% 8.62/6.20 (![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16295, 5955, 9802])).
% 8.62/6.20 tff(16297,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16298,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16299,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex2)) | (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 8.62/6.20 tff(16300,plain,
% 8.62/6.20 (v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16299, 648, 16296])).
% 8.62/6.20 tff(16301,plain,
% 8.62/6.20 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB79) | ![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB79) | ![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B))))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16302,plain,
% 8.62/6.20 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB79) | ![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B))))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16303,plain,
% 8.62/6.20 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB79) | ![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16302, 16301])).
% 8.62/6.20 tff(16304,plain,
% 8.62/6.20 (![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16303, 9823, 16265])).
% 8.62/6.20 tff(16305,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16306,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16307,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex2)) | (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16306, 16305])).
% 8.62/6.20 tff(16308,plain,
% 8.62/6.20 (v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16307, 648, 16304])).
% 8.62/6.20 tff(16309,plain,
% 8.62/6.20 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B))))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16310,plain,
% 8.62/6.20 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B))))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16311,plain,
% 8.62/6.20 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16310, 16309])).
% 8.62/6.20 tff(16312,plain,
% 8.62/6.20 ((~v122(constB79)) | ![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16311, 10383])).
% 8.62/6.20 tff(16313,plain,
% 8.62/6.20 (![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16312, 16240])).
% 8.62/6.20 tff(16314,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b100(bitIndex2)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16315,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b100(bitIndex2)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16316,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB79, bitIndex2) <=> b100(bitIndex2))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16315, 16314])).
% 8.62/6.20 tff(16317,plain,
% 8.62/6.20 (v130(constB79, bitIndex2) <=> b100(bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16316, 648, 16313])).
% 8.62/6.20 tff(16318,plain,
% 8.62/6.20 ((~(v130(constB79, bitIndex2) <=> b100(bitIndex2))) | v130(constB79, bitIndex2) | (~b100(bitIndex2))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16319,plain,
% 8.62/6.20 ((~(v130(constB79, bitIndex2) <=> b100(bitIndex2))) | v130(constB79, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16318, 10395])).
% 8.62/6.20 tff(16320,plain,
% 8.62/6.20 (v130(constB79, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16319, 16317])).
% 8.62/6.20 tff(16321,plain,
% 8.62/6.20 ((~(v127(constB79, bitIndex2) <=> v130(constB79, bitIndex2))) | v127(constB79, bitIndex2) | (~v130(constB79, bitIndex2))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16322,plain,
% 8.62/6.20 (v127(constB79, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16321, 16320, 16308])).
% 8.62/6.20 tff(16323,plain,
% 8.62/6.20 ((~(v129(constB80, bitIndex2) <=> v127(constB79, bitIndex2))) | v129(constB80, bitIndex2) | (~v127(constB79, bitIndex2))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16324,plain,
% 8.62/6.20 (v129(constB80, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16323, 16322, 16300])).
% 8.62/6.20 tff(16325,plain,
% 8.62/6.20 ((~(v90(constB80, bitIndex2) <=> v129(constB80, bitIndex2))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16326,plain,
% 8.62/6.20 (v90(constB80, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16325, 16324, 16292])).
% 8.62/6.20 tff(16327,plain,
% 8.62/6.20 ((~(v90(constB81, bitIndex2) <=> v90(constB80, bitIndex2))) | v90(constB81, bitIndex2) | (~v90(constB80, bitIndex2))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16328,plain,
% 8.62/6.20 (v90(constB81, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16327, 16326, 5952])).
% 8.62/6.20 tff(16329,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16330,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16331,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 8.62/6.20 tff(16332,plain,
% 8.62/6.20 (v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16331, 9653, 5948])).
% 8.62/6.20 tff(16333,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16334,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16335,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex0)) | (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16334, 16333])).
% 8.62/6.20 tff(16336,plain,
% 8.62/6.20 (v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16335, 9653, 16288])).
% 8.62/6.20 tff(16337,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16338,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16339,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex0)) | (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16338, 16337])).
% 8.62/6.20 tff(16340,plain,
% 8.62/6.20 (v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16339, 9653, 16296])).
% 8.62/6.20 tff(16341,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16342,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16343,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex0)) | (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16342, 16341])).
% 8.62/6.20 tff(16344,plain,
% 8.62/6.20 (v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16343, 9653, 16304])).
% 8.62/6.20 tff(16345,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b100(bitIndex0)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16346,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b100(bitIndex0)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16347,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB79, bitIndex0) <=> b100(bitIndex0))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16346, 16345])).
% 8.62/6.20 tff(16348,plain,
% 8.62/6.20 (v130(constB79, bitIndex0) <=> b100(bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16347, 9653, 16313])).
% 8.62/6.20 tff(16349,plain,
% 8.62/6.20 ((~(v130(constB79, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB79, bitIndex0)) | b100(bitIndex0)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16350,plain,
% 8.62/6.20 ((~(v130(constB79, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB79, bitIndex0))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16349, 10429])).
% 8.62/6.20 tff(16351,plain,
% 8.62/6.20 (~v130(constB79, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16350, 16348])).
% 8.62/6.20 tff(16352,plain,
% 8.62/6.20 ((~(v127(constB79, bitIndex0) <=> v130(constB79, bitIndex0))) | (~v127(constB79, bitIndex0)) | v130(constB79, bitIndex0)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16353,plain,
% 8.62/6.20 (~v127(constB79, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16352, 16351, 16344])).
% 8.62/6.20 tff(16354,plain,
% 8.62/6.20 ((~(v129(constB80, bitIndex0) <=> v127(constB79, bitIndex0))) | (~v129(constB80, bitIndex0)) | v127(constB79, bitIndex0)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16355,plain,
% 8.62/6.20 (~v129(constB80, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16354, 16353, 16340])).
% 8.62/6.20 tff(16356,plain,
% 8.62/6.20 ((~(v90(constB80, bitIndex0) <=> v129(constB80, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16357,plain,
% 8.62/6.20 (~v90(constB80, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16356, 16355, 16336])).
% 8.62/6.20 tff(16358,plain,
% 8.62/6.20 ((~(v90(constB81, bitIndex0) <=> v90(constB80, bitIndex0))) | (~v90(constB81, bitIndex0)) | v90(constB80, bitIndex0)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16359,plain,
% 8.62/6.20 (~v90(constB81, bitIndex0)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16358, 16357, 16332])).
% 8.62/6.20 tff(16360,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16361,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16362,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB81, B) <=> v90(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16361, 16360])).
% 8.62/6.20 tff(16363,plain,
% 8.62/6.20 (v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16362, 375, 5948])).
% 8.62/6.20 tff(16364,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16365,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | ((~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16366,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB80, B) <=> v129(constB80, B)))) | (~less_3(bitIndex1)) | (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 8.62/6.20 tff(16367,plain,
% 8.62/6.20 (v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16366, 375, 16288])).
% 8.62/6.20 tff(16368,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16369,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | ((~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16370,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v129(constB80, B) <=> v127(constB79, B)))) | (~less_3(bitIndex1)) | (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16369, 16368])).
% 8.62/6.20 tff(16371,plain,
% 8.62/6.20 (v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16370, 375, 16296])).
% 8.62/6.20 tff(16372,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16373,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | ((~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16374,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v127(constB79, B) <=> v130(constB79, B)))) | (~less_3(bitIndex1)) | (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16373, 16372])).
% 8.62/6.20 tff(16375,plain,
% 8.62/6.20 (v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16374, 375, 16304])).
% 8.62/6.20 tff(16376,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b100(bitIndex1)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16377,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b100(bitIndex1)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16378,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v130(constB79, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB79, bitIndex1) <=> b100(bitIndex1))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16377, 16376])).
% 8.62/6.20 tff(16379,plain,
% 8.62/6.20 (v130(constB79, bitIndex1) <=> b100(bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16378, 375, 16313])).
% 8.62/6.20 tff(16380,plain,
% 8.62/6.20 ((~(v130(constB79, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB79, bitIndex1)) | b100(bitIndex1)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16381,plain,
% 8.62/6.20 ((~(v130(constB79, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB79, bitIndex1))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16380, 10463])).
% 8.62/6.20 tff(16382,plain,
% 8.62/6.20 (~v130(constB79, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16381, 16379])).
% 8.62/6.20 tff(16383,plain,
% 8.62/6.20 ((~(v127(constB79, bitIndex1) <=> v130(constB79, bitIndex1))) | (~v127(constB79, bitIndex1)) | v130(constB79, bitIndex1)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16384,plain,
% 8.62/6.20 (~v127(constB79, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16383, 16382, 16375])).
% 8.62/6.20 tff(16385,plain,
% 8.62/6.20 ((~(v129(constB80, bitIndex1) <=> v127(constB79, bitIndex1))) | (~v129(constB80, bitIndex1)) | v127(constB79, bitIndex1)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16386,plain,
% 8.62/6.20 (~v129(constB80, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16385, 16384, 16371])).
% 8.62/6.20 tff(16387,plain,
% 8.62/6.20 ((~(v90(constB80, bitIndex1) <=> v129(constB80, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16388,plain,
% 8.62/6.20 (~v90(constB80, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16387, 16386, 16367])).
% 8.62/6.20 tff(16389,plain,
% 8.62/6.20 ((~(v90(constB81, bitIndex1) <=> v90(constB80, bitIndex1))) | (~v90(constB81, bitIndex1)) | v90(constB80, bitIndex1)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16390,plain,
% 8.62/6.20 (~v90(constB81, bitIndex1)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16389, 16388, 16363])).
% 8.62/6.20 tff(16391,plain,
% 8.62/6.20 ((~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))) | (~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16392,plain,
% 8.62/6.20 (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16391, 16390, 16359, 16328])).
% 8.62/6.20 tff(16393,plain,
% 8.62/6.20 ((~(v123(constB81) <=> (~((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))))) | v123(constB81) | ((~v90(constB81, bitIndex2)) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16394,plain,
% 8.62/6.20 (v123(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16393, 16392, 5920])).
% 8.62/6.20 tff(16395,plain,
% 8.62/6.20 ((v116(constB81) | v123(constB81)) | (~v123(constB81))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16396,plain,
% 8.62/6.20 (v116(constB81) | v123(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16395, 16394])).
% 8.62/6.20 tff(16397,plain,
% 8.62/6.20 ((~(v115(constB81) <=> (v116(constB81) | v123(constB81)))) | v115(constB81) | (~(v116(constB81) | v123(constB81)))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16398,plain,
% 8.62/6.20 (v115(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16397, 16396, 5913])).
% 8.62/6.20 tff(16399,plain,
% 8.62/6.20 ((v115(constB81) | v124(constB81)) | (~v115(constB81))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16400,plain,
% 8.62/6.20 (v115(constB81) | v124(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16399, 16398])).
% 8.62/6.20 tff(16401,plain,
% 8.62/6.20 ((~(v114(constB81) <=> (v115(constB81) | v124(constB81)))) | v114(constB81) | (~(v115(constB81) | v124(constB81)))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16402,plain,
% 8.62/6.20 (v114(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16401, 16400, 5911])).
% 8.62/6.20 tff(16403,plain,
% 8.62/6.20 ((v114(constB81) | v125(constB81)) | (~v114(constB81))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16404,plain,
% 8.62/6.20 (v114(constB81) | v125(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16403, 16402])).
% 8.62/6.20 tff(16405,plain,
% 8.62/6.20 ((~(v113(constB81) <=> (v114(constB81) | v125(constB81)))) | v113(constB81) | (~(v114(constB81) | v125(constB81)))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16406,plain,
% 8.62/6.20 (v113(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16405, 16404, 5909])).
% 8.62/6.20 tff(16407,plain,
% 8.62/6.20 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB81)) <=> v111(constB81))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16408,plain,
% 8.62/6.20 ((~v126(constB81)) <=> v111(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16407, 9720])).
% 8.62/6.20 tff(16409,plain,
% 8.62/6.20 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB81) <=> v26(constB81))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16410,plain,
% 8.62/6.20 (v111(constB81) <=> v26(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16409, 9732])).
% 8.62/6.20 tff(16411,plain,
% 8.62/6.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16412,plain,
% 8.62/6.20 (~v26(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16411, 9744])).
% 8.62/6.20 tff(16413,plain,
% 8.62/6.20 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81)) | v26(constB81)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16414,plain,
% 8.62/6.20 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16413, 16412])).
% 8.62/6.20 tff(16415,plain,
% 8.62/6.20 (~v111(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16414, 16410])).
% 8.62/6.20 tff(16416,plain,
% 8.62/6.20 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81) | v111(constB81)),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16417,plain,
% 8.62/6.20 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16416, 16415])).
% 8.62/6.20 tff(16418,plain,
% 8.62/6.20 (v126(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16417, 16408])).
% 8.62/6.20 tff(16419,plain,
% 8.62/6.20 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81)) | (~v126(constB81))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16420,plain,
% 8.62/6.20 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16419, 16418])).
% 8.62/6.20 tff(16421,plain,
% 8.62/6.20 (~((~v113(constB81)) | (~v126(constB81)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16420, 16406])).
% 8.62/6.20 tff(16422,plain,
% 8.62/6.20 ((~(v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))) | v112(constB81) | ((~v113(constB81)) | (~v126(constB81)))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16423,plain,
% 8.62/6.20 (v112(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16422, 16421, 5907])).
% 8.62/6.20 tff(16424,plain,
% 8.62/6.20 ((v111(constB81) | v112(constB81)) | (~v112(constB81))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16425,plain,
% 8.62/6.20 (v111(constB81) | v112(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16424, 16423])).
% 8.62/6.20 tff(16426,plain,
% 8.62/6.20 ((~(v108(constB81) <=> (v111(constB81) | v112(constB81)))) | v108(constB81) | (~(v111(constB81) | v112(constB81)))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16427,plain,
% 8.62/6.20 (v108(constB81)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16426, 16425, 5905])).
% 8.62/6.20 tff(16428,plain,
% 8.62/6.20 ((~(v110(constB82) <=> v108(constB81))) | v110(constB82) | (~v108(constB81))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16429,plain,
% 8.62/6.20 (v110(constB82)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16428, 16427, 5903])).
% 8.62/6.20 tff(16430,plain,
% 8.62/6.20 ((~((~v101(constB82)) | (~v110(constB82)))) | (~v101(constB82)) | (~v110(constB82))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16431,plain,
% 8.62/6.20 (~((~v101(constB82)) | (~v110(constB82)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16430, 16429, 5899])).
% 8.62/6.20 tff(16432,plain,
% 8.62/6.20 ((~(v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))) | v100(constB82) | ((~v101(constB82)) | (~v110(constB82)))),
% 8.62/6.20 inference(tautology,[status(thm)],[])).
% 8.62/6.20 tff(16433,plain,
% 8.62/6.20 (v100(constB82)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16432, 16431, 5868])).
% 8.62/6.20 tff(16434,plain,
% 8.62/6.20 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B))))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16435,plain,
% 8.62/6.20 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B))))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16436,plain,
% 8.62/6.20 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16435, 16434])).
% 8.62/6.20 tff(16437,plain,
% 8.62/6.20 ((~v100(constB82)) | ![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16436, 9780])).
% 8.62/6.20 tff(16438,plain,
% 8.62/6.20 (![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16437, 16433])).
% 8.62/6.20 tff(16439,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16440,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16441,plain,
% 8.62/6.20 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex2)) | (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16440, 16439])).
% 8.62/6.20 tff(16442,plain,
% 8.62/6.20 (v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2)),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16441, 648, 16438])).
% 8.62/6.20 tff(16443,plain,
% 8.62/6.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B))))),
% 8.62/6.20 inference(rewrite,[status(thm)],[])).
% 8.62/6.20 tff(16444,plain,
% 8.62/6.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B))))),
% 8.62/6.20 inference(quant_inst,[status(thm)],[])).
% 8.62/6.20 tff(16445,plain,
% 8.62/6.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))),
% 8.62/6.20 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 8.62/6.20 tff(16446,plain,
% 8.62/6.20 (![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))),
% 8.62/6.20 inference(unit_resolution,[status(thm)],[16445, 5864, 9802])).
% 8.62/6.20 tff(16447,plain,
% 8.62/6.20 (((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16448,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16449,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex2)) | (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 8.62/6.21 tff(16450,plain,
% 8.62/6.21 (v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16449, 648, 16446])).
% 8.62/6.21 tff(16451,plain,
% 8.62/6.21 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB81) | ![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB81) | ![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B))))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16452,plain,
% 8.62/6.21 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB81) | ![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B))))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16453,plain,
% 8.62/6.21 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB81) | ![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16452, 16451])).
% 8.62/6.21 tff(16454,plain,
% 8.62/6.21 (![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16453, 9823, 16415])).
% 8.62/6.21 tff(16455,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16456,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16457,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex2)) | (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16456, 16455])).
% 8.62/6.21 tff(16458,plain,
% 8.62/6.21 (v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16457, 648, 16454])).
% 8.62/6.21 tff(16459,plain,
% 8.62/6.21 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B))))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16460,plain,
% 8.62/6.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B))))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16461,plain,
% 8.62/6.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 8.62/6.21 tff(16462,plain,
% 8.62/6.21 ((~v123(constB81)) | ![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16461, 10555])).
% 8.62/6.21 tff(16463,plain,
% 8.62/6.21 (![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16462, 16394])).
% 8.62/6.21 tff(16464,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b101(bitIndex2)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16465,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b101(bitIndex2)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16466,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB81, bitIndex2) <=> b101(bitIndex2))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16465, 16464])).
% 8.62/6.21 tff(16467,plain,
% 8.62/6.21 (v130(constB81, bitIndex2) <=> b101(bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16466, 648, 16463])).
% 8.62/6.21 tff(16468,plain,
% 8.62/6.21 ((~(v130(constB81, bitIndex2) <=> b101(bitIndex2))) | v130(constB81, bitIndex2) | (~b101(bitIndex2))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16469,plain,
% 8.62/6.21 ((~(v130(constB81, bitIndex2) <=> b101(bitIndex2))) | v130(constB81, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16468, 10567])).
% 8.62/6.21 tff(16470,plain,
% 8.62/6.21 (v130(constB81, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16469, 16467])).
% 8.62/6.21 tff(16471,plain,
% 8.62/6.21 ((~(v127(constB81, bitIndex2) <=> v130(constB81, bitIndex2))) | v127(constB81, bitIndex2) | (~v130(constB81, bitIndex2))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16472,plain,
% 8.62/6.21 (v127(constB81, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16471, 16470, 16458])).
% 8.62/6.21 tff(16473,plain,
% 8.62/6.21 ((~(v129(constB82, bitIndex2) <=> v127(constB81, bitIndex2))) | v129(constB82, bitIndex2) | (~v127(constB81, bitIndex2))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16474,plain,
% 8.62/6.21 (v129(constB82, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16473, 16472, 16450])).
% 8.62/6.21 tff(16475,plain,
% 8.62/6.21 ((~(v90(constB82, bitIndex2) <=> v129(constB82, bitIndex2))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16476,plain,
% 8.62/6.21 (v90(constB82, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16475, 16474, 16442])).
% 8.62/6.21 tff(16477,plain,
% 8.62/6.21 ((~(v90(constB83, bitIndex2) <=> v90(constB82, bitIndex2))) | v90(constB83, bitIndex2) | (~v90(constB82, bitIndex2))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16478,plain,
% 8.62/6.21 (v90(constB83, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16477, 16476, 5861])).
% 8.62/6.21 tff(16479,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16480,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16481,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16480, 16479])).
% 8.62/6.21 tff(16482,plain,
% 8.62/6.21 (v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16481, 9653, 5857])).
% 8.62/6.21 tff(16483,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16484,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16485,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex0)) | (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16484, 16483])).
% 8.62/6.21 tff(16486,plain,
% 8.62/6.21 (v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16485, 9653, 16438])).
% 8.62/6.21 tff(16487,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16488,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16489,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex0)) | (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 8.62/6.21 tff(16490,plain,
% 8.62/6.21 (v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16489, 9653, 16446])).
% 8.62/6.21 tff(16491,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16492,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16493,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex0)) | (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16492, 16491])).
% 8.62/6.21 tff(16494,plain,
% 8.62/6.21 (v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16493, 9653, 16454])).
% 8.62/6.21 tff(16495,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b101(bitIndex0)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16496,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b101(bitIndex0)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16497,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB81, bitIndex0) <=> b101(bitIndex0))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 8.62/6.21 tff(16498,plain,
% 8.62/6.21 (v130(constB81, bitIndex0) <=> b101(bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16497, 9653, 16463])).
% 8.62/6.21 tff(16499,plain,
% 8.62/6.21 ((~(v130(constB81, bitIndex0) <=> b101(bitIndex0))) | v130(constB81, bitIndex0) | (~b101(bitIndex0))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16500,plain,
% 8.62/6.21 ((~(v130(constB81, bitIndex0) <=> b101(bitIndex0))) | v130(constB81, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16499, 10601])).
% 8.62/6.21 tff(16501,plain,
% 8.62/6.21 (v130(constB81, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16500, 16498])).
% 8.62/6.21 tff(16502,plain,
% 8.62/6.21 ((~(v127(constB81, bitIndex0) <=> v130(constB81, bitIndex0))) | v127(constB81, bitIndex0) | (~v130(constB81, bitIndex0))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16503,plain,
% 8.62/6.21 (v127(constB81, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16502, 16501, 16494])).
% 8.62/6.21 tff(16504,plain,
% 8.62/6.21 ((~(v129(constB82, bitIndex0) <=> v127(constB81, bitIndex0))) | v129(constB82, bitIndex0) | (~v127(constB81, bitIndex0))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16505,plain,
% 8.62/6.21 (v129(constB82, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16504, 16503, 16490])).
% 8.62/6.21 tff(16506,plain,
% 8.62/6.21 ((~(v90(constB82, bitIndex0) <=> v129(constB82, bitIndex0))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16507,plain,
% 8.62/6.21 (v90(constB82, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16506, 16505, 16486])).
% 8.62/6.21 tff(16508,plain,
% 8.62/6.21 ((~(v90(constB83, bitIndex0) <=> v90(constB82, bitIndex0))) | v90(constB83, bitIndex0) | (~v90(constB82, bitIndex0))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16509,plain,
% 8.62/6.21 (v90(constB83, bitIndex0)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16508, 16507, 16482])).
% 8.62/6.21 tff(16510,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16511,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16512,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB83, B) <=> v90(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16511, 16510])).
% 8.62/6.21 tff(16513,plain,
% 8.62/6.21 (v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16512, 375, 5857])).
% 8.62/6.21 tff(16514,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16515,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | ((~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16516,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB82, B) <=> v129(constB82, B)))) | (~less_3(bitIndex1)) | (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16515, 16514])).
% 8.62/6.21 tff(16517,plain,
% 8.62/6.21 (v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16516, 375, 16438])).
% 8.62/6.21 tff(16518,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16519,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | ((~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16520,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB82, B) <=> v127(constB81, B)))) | (~less_3(bitIndex1)) | (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 8.62/6.21 tff(16521,plain,
% 8.62/6.21 (v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16520, 375, 16446])).
% 8.62/6.21 tff(16522,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16523,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | ((~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16524,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB81, B) <=> v130(constB81, B)))) | (~less_3(bitIndex1)) | (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 8.62/6.21 tff(16525,plain,
% 8.62/6.21 (v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16524, 375, 16454])).
% 8.62/6.21 tff(16526,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b101(bitIndex1)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16527,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b101(bitIndex1)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16528,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v130(constB81, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB81, bitIndex1) <=> b101(bitIndex1))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16527, 16526])).
% 8.62/6.21 tff(16529,plain,
% 8.62/6.21 (v130(constB81, bitIndex1) <=> b101(bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16528, 375, 16463])).
% 8.62/6.21 tff(16530,plain,
% 8.62/6.21 ((~(v130(constB81, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB81, bitIndex1)) | b101(bitIndex1)),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16531,plain,
% 8.62/6.21 ((~(v130(constB81, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB81, bitIndex1))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16530, 10635])).
% 8.62/6.21 tff(16532,plain,
% 8.62/6.21 (~v130(constB81, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16531, 16529])).
% 8.62/6.21 tff(16533,plain,
% 8.62/6.21 ((~(v127(constB81, bitIndex1) <=> v130(constB81, bitIndex1))) | (~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16534,plain,
% 8.62/6.21 (~v127(constB81, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16533, 16532, 16525])).
% 8.62/6.21 tff(16535,plain,
% 8.62/6.21 ((~(v129(constB82, bitIndex1) <=> v127(constB81, bitIndex1))) | (~v129(constB82, bitIndex1)) | v127(constB81, bitIndex1)),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16536,plain,
% 8.62/6.21 (~v129(constB82, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16535, 16534, 16521])).
% 8.62/6.21 tff(16537,plain,
% 8.62/6.21 ((~(v90(constB82, bitIndex1) <=> v129(constB82, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1)),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16538,plain,
% 8.62/6.21 (~v90(constB82, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16537, 16536, 16517])).
% 8.62/6.21 tff(16539,plain,
% 8.62/6.21 ((~(v90(constB83, bitIndex1) <=> v90(constB82, bitIndex1))) | (~v90(constB83, bitIndex1)) | v90(constB82, bitIndex1)),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16540,plain,
% 8.62/6.21 (~v90(constB83, bitIndex1)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16539, 16538, 16513])).
% 8.62/6.21 tff(16541,plain,
% 8.62/6.21 ((~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))) | (~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16542,plain,
% 8.62/6.21 (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16541, 16540, 16509, 16478])).
% 8.62/6.21 tff(16543,plain,
% 8.62/6.21 ((~(v124(constB83) <=> (~((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))))) | v124(constB83) | ((~v90(constB83, bitIndex2)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16544,plain,
% 8.62/6.21 (v124(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16543, 16542, 5829])).
% 8.62/6.21 tff(16545,plain,
% 8.62/6.21 ((v115(constB83) | v124(constB83)) | (~v124(constB83))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16546,plain,
% 8.62/6.21 (v115(constB83) | v124(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16545, 16544])).
% 8.62/6.21 tff(16547,plain,
% 8.62/6.21 ((~(v114(constB83) <=> (v115(constB83) | v124(constB83)))) | v114(constB83) | (~(v115(constB83) | v124(constB83)))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16548,plain,
% 8.62/6.21 (v114(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16547, 16546, 5822])).
% 8.62/6.21 tff(16549,plain,
% 8.62/6.21 ((v114(constB83) | v125(constB83)) | (~v114(constB83))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16550,plain,
% 8.62/6.21 (v114(constB83) | v125(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16549, 16548])).
% 8.62/6.21 tff(16551,plain,
% 8.62/6.21 ((~(v113(constB83) <=> (v114(constB83) | v125(constB83)))) | v113(constB83) | (~(v114(constB83) | v125(constB83)))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16552,plain,
% 8.62/6.21 (v113(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16551, 16550, 5820])).
% 8.62/6.21 tff(16553,plain,
% 8.62/6.21 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB83)) <=> v111(constB83))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16554,plain,
% 8.62/6.21 ((~v126(constB83)) <=> v111(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16553, 9720])).
% 8.62/6.21 tff(16555,plain,
% 8.62/6.21 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB83) <=> v26(constB83))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16556,plain,
% 8.62/6.21 (v111(constB83) <=> v26(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16555, 9732])).
% 8.62/6.21 tff(16557,plain,
% 8.62/6.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16558,plain,
% 8.62/6.21 (~v26(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16557, 9744])).
% 8.62/6.21 tff(16559,plain,
% 8.62/6.21 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83)) | v26(constB83)),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16560,plain,
% 8.62/6.21 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16559, 16558])).
% 8.62/6.21 tff(16561,plain,
% 8.62/6.21 (~v111(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16560, 16556])).
% 8.62/6.21 tff(16562,plain,
% 8.62/6.21 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83) | v111(constB83)),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16563,plain,
% 8.62/6.21 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16562, 16561])).
% 8.62/6.21 tff(16564,plain,
% 8.62/6.21 (v126(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16563, 16554])).
% 8.62/6.21 tff(16565,plain,
% 8.62/6.21 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83)) | (~v126(constB83))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16566,plain,
% 8.62/6.21 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16565, 16564])).
% 8.62/6.21 tff(16567,plain,
% 8.62/6.21 (~((~v113(constB83)) | (~v126(constB83)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16566, 16552])).
% 8.62/6.21 tff(16568,plain,
% 8.62/6.21 ((~(v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))) | v112(constB83) | ((~v113(constB83)) | (~v126(constB83)))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16569,plain,
% 8.62/6.21 (v112(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16568, 16567, 5818])).
% 8.62/6.21 tff(16570,plain,
% 8.62/6.21 ((v111(constB83) | v112(constB83)) | (~v112(constB83))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16571,plain,
% 8.62/6.21 (v111(constB83) | v112(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16570, 16569])).
% 8.62/6.21 tff(16572,plain,
% 8.62/6.21 ((~(v108(constB83) <=> (v111(constB83) | v112(constB83)))) | v108(constB83) | (~(v111(constB83) | v112(constB83)))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16573,plain,
% 8.62/6.21 (v108(constB83)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16572, 16571, 5816])).
% 8.62/6.21 tff(16574,plain,
% 8.62/6.21 ((~(v110(constB84) <=> v108(constB83))) | v110(constB84) | (~v108(constB83))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16575,plain,
% 8.62/6.21 (v110(constB84)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16574, 16573, 5814])).
% 8.62/6.21 tff(16576,plain,
% 8.62/6.21 ((~((~v101(constB84)) | (~v110(constB84)))) | (~v101(constB84)) | (~v110(constB84))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16577,plain,
% 8.62/6.21 (~((~v101(constB84)) | (~v110(constB84)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16576, 16575, 5810])).
% 8.62/6.21 tff(16578,plain,
% 8.62/6.21 ((~(v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))) | v100(constB84) | ((~v101(constB84)) | (~v110(constB84)))),
% 8.62/6.21 inference(tautology,[status(thm)],[])).
% 8.62/6.21 tff(16579,plain,
% 8.62/6.21 (v100(constB84)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16578, 16577, 5779])).
% 8.62/6.21 tff(16580,plain,
% 8.62/6.21 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B))))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16581,plain,
% 8.62/6.21 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B))))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16582,plain,
% 8.62/6.21 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16581, 16580])).
% 8.62/6.21 tff(16583,plain,
% 8.62/6.21 ((~v100(constB84)) | ![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16582, 9780])).
% 8.62/6.21 tff(16584,plain,
% 8.62/6.21 (![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16583, 16579])).
% 8.62/6.21 tff(16585,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16586,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16587,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex2)) | (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16586, 16585])).
% 8.62/6.21 tff(16588,plain,
% 8.62/6.21 (v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16587, 648, 16584])).
% 8.62/6.21 tff(16589,plain,
% 8.62/6.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B))))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16590,plain,
% 8.62/6.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B))))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16591,plain,
% 8.62/6.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16590, 16589])).
% 8.62/6.21 tff(16592,plain,
% 8.62/6.21 (![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16591, 5775, 9802])).
% 8.62/6.21 tff(16593,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16594,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16595,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex2)) | (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 8.62/6.21 tff(16596,plain,
% 8.62/6.21 (v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16595, 648, 16592])).
% 8.62/6.21 tff(16597,plain,
% 8.62/6.21 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB83) | ![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB83) | ![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B))))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16598,plain,
% 8.62/6.21 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB83) | ![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B))))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16599,plain,
% 8.62/6.21 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB83) | ![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 8.62/6.21 tff(16600,plain,
% 8.62/6.21 (![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16599, 9823, 16561])).
% 8.62/6.21 tff(16601,plain,
% 8.62/6.21 (((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)))),
% 8.62/6.21 inference(rewrite,[status(thm)],[])).
% 8.62/6.21 tff(16602,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)))),
% 8.62/6.21 inference(quant_inst,[status(thm)],[])).
% 8.62/6.21 tff(16603,plain,
% 8.62/6.21 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex2)) | (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2))),
% 8.62/6.21 inference(modus_ponens,[status(thm)],[16602, 16601])).
% 8.62/6.21 tff(16604,plain,
% 8.62/6.21 (v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2)),
% 8.62/6.21 inference(unit_resolution,[status(thm)],[16603, 648, 16600])).
% 8.62/6.21 tff(16605,plain,
% 8.62/6.21 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B))))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16606,plain,
% 8.62/6.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B))))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16607,plain,
% 8.62/6.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 8.62/6.22 tff(16608,plain,
% 8.62/6.22 ((~v124(constB83)) | ![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16607, 10723])).
% 8.62/6.22 tff(16609,plain,
% 8.62/6.22 (![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16608, 16544])).
% 8.62/6.22 tff(16610,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16611,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16612,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB83, bitIndex2) <=> b110(bitIndex2))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16611, 16610])).
% 8.62/6.22 tff(16613,plain,
% 8.62/6.22 (v130(constB83, bitIndex2) <=> b110(bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16612, 648, 16609])).
% 8.62/6.22 tff(16614,plain,
% 8.62/6.22 ((~(v130(constB83, bitIndex2) <=> b110(bitIndex2))) | v130(constB83, bitIndex2) | (~b110(bitIndex2))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16615,plain,
% 8.62/6.22 ((~(v130(constB83, bitIndex2) <=> b110(bitIndex2))) | v130(constB83, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16614, 10735])).
% 8.62/6.22 tff(16616,plain,
% 8.62/6.22 (v130(constB83, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16615, 16613])).
% 8.62/6.22 tff(16617,plain,
% 8.62/6.22 ((~(v127(constB83, bitIndex2) <=> v130(constB83, bitIndex2))) | v127(constB83, bitIndex2) | (~v130(constB83, bitIndex2))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16618,plain,
% 8.62/6.22 (v127(constB83, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16617, 16616, 16604])).
% 8.62/6.22 tff(16619,plain,
% 8.62/6.22 ((~(v129(constB84, bitIndex2) <=> v127(constB83, bitIndex2))) | v129(constB84, bitIndex2) | (~v127(constB83, bitIndex2))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16620,plain,
% 8.62/6.22 (v129(constB84, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16619, 16618, 16596])).
% 8.62/6.22 tff(16621,plain,
% 8.62/6.22 ((~(v90(constB84, bitIndex2) <=> v129(constB84, bitIndex2))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16622,plain,
% 8.62/6.22 (v90(constB84, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16621, 16620, 16588])).
% 8.62/6.22 tff(16623,plain,
% 8.62/6.22 ((~(v90(constB85, bitIndex2) <=> v90(constB84, bitIndex2))) | v90(constB85, bitIndex2) | (~v90(constB84, bitIndex2))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16624,plain,
% 8.62/6.22 (v90(constB85, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16623, 16622, 5772])).
% 8.62/6.22 tff(16625,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16626,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16627,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16626, 16625])).
% 8.62/6.22 tff(16628,plain,
% 8.62/6.22 (v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16627, 9653, 5768])).
% 8.62/6.22 tff(16629,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16630,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16631,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex0)) | (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16630, 16629])).
% 8.62/6.22 tff(16632,plain,
% 8.62/6.22 (v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16631, 9653, 16584])).
% 8.62/6.22 tff(16633,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16634,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16635,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex0)) | (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 8.62/6.22 tff(16636,plain,
% 8.62/6.22 (v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16635, 9653, 16592])).
% 8.62/6.22 tff(16637,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16638,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16639,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex0)) | (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16638, 16637])).
% 8.62/6.22 tff(16640,plain,
% 8.62/6.22 (v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16639, 9653, 16600])).
% 8.62/6.22 tff(16641,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16642,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16643,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB83, bitIndex0) <=> b110(bitIndex0))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16642, 16641])).
% 8.62/6.22 tff(16644,plain,
% 8.62/6.22 (v130(constB83, bitIndex0) <=> b110(bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16643, 9653, 16609])).
% 8.62/6.22 tff(16645,plain,
% 8.62/6.22 ((~(v130(constB83, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB83, bitIndex0)) | b110(bitIndex0)),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16646,plain,
% 8.62/6.22 ((~(v130(constB83, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB83, bitIndex0))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16645, 10769])).
% 8.62/6.22 tff(16647,plain,
% 8.62/6.22 (~v130(constB83, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16646, 16644])).
% 8.62/6.22 tff(16648,plain,
% 8.62/6.22 ((~(v127(constB83, bitIndex0) <=> v130(constB83, bitIndex0))) | (~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16649,plain,
% 8.62/6.22 (~v127(constB83, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16648, 16647, 16640])).
% 8.62/6.22 tff(16650,plain,
% 8.62/6.22 ((~(v129(constB84, bitIndex0) <=> v127(constB83, bitIndex0))) | (~v129(constB84, bitIndex0)) | v127(constB83, bitIndex0)),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16651,plain,
% 8.62/6.22 (~v129(constB84, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16650, 16649, 16636])).
% 8.62/6.22 tff(16652,plain,
% 8.62/6.22 ((~(v90(constB84, bitIndex0) <=> v129(constB84, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0)),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16653,plain,
% 8.62/6.22 (~v90(constB84, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16652, 16651, 16632])).
% 8.62/6.22 tff(16654,plain,
% 8.62/6.22 ((~(v90(constB85, bitIndex0) <=> v90(constB84, bitIndex0))) | (~v90(constB85, bitIndex0)) | v90(constB84, bitIndex0)),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16655,plain,
% 8.62/6.22 (~v90(constB85, bitIndex0)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16654, 16653, 16628])).
% 8.62/6.22 tff(16656,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16657,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16658,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB85, B) <=> v90(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16657, 16656])).
% 8.62/6.22 tff(16659,plain,
% 8.62/6.22 (v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16658, 375, 5768])).
% 8.62/6.22 tff(16660,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16661,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | ((~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16662,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB84, B) <=> v129(constB84, B)))) | (~less_3(bitIndex1)) | (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16661, 16660])).
% 8.62/6.22 tff(16663,plain,
% 8.62/6.22 (v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16662, 375, 16584])).
% 8.62/6.22 tff(16664,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16665,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | ((~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16666,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB84, B) <=> v127(constB83, B)))) | (~less_3(bitIndex1)) | (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 8.62/6.22 tff(16667,plain,
% 8.62/6.22 (v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16666, 375, 16592])).
% 8.62/6.22 tff(16668,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16669,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | ((~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16670,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB83, B) <=> v130(constB83, B)))) | (~less_3(bitIndex1)) | (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16669, 16668])).
% 8.62/6.22 tff(16671,plain,
% 8.62/6.22 (v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16670, 375, 16600])).
% 8.62/6.22 tff(16672,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16673,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16674,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v130(constB83, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB83, bitIndex1) <=> b110(bitIndex1))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16673, 16672])).
% 8.62/6.22 tff(16675,plain,
% 8.62/6.22 (v130(constB83, bitIndex1) <=> b110(bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16674, 375, 16609])).
% 8.62/6.22 tff(16676,plain,
% 8.62/6.22 ((~(v130(constB83, bitIndex1) <=> b110(bitIndex1))) | v130(constB83, bitIndex1) | (~b110(bitIndex1))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16677,plain,
% 8.62/6.22 ((~(v130(constB83, bitIndex1) <=> b110(bitIndex1))) | v130(constB83, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16676, 10803])).
% 8.62/6.22 tff(16678,plain,
% 8.62/6.22 (v130(constB83, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16677, 16675])).
% 8.62/6.22 tff(16679,plain,
% 8.62/6.22 ((~(v127(constB83, bitIndex1) <=> v130(constB83, bitIndex1))) | v127(constB83, bitIndex1) | (~v130(constB83, bitIndex1))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16680,plain,
% 8.62/6.22 (v127(constB83, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16679, 16678, 16671])).
% 8.62/6.22 tff(16681,plain,
% 8.62/6.22 ((~(v129(constB84, bitIndex1) <=> v127(constB83, bitIndex1))) | v129(constB84, bitIndex1) | (~v127(constB83, bitIndex1))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16682,plain,
% 8.62/6.22 (v129(constB84, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16681, 16680, 16667])).
% 8.62/6.22 tff(16683,plain,
% 8.62/6.22 ((~(v90(constB84, bitIndex1) <=> v129(constB84, bitIndex1))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16684,plain,
% 8.62/6.22 (v90(constB84, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16683, 16682, 16663])).
% 8.62/6.22 tff(16685,plain,
% 8.62/6.22 ((~(v90(constB85, bitIndex1) <=> v90(constB84, bitIndex1))) | v90(constB85, bitIndex1) | (~v90(constB84, bitIndex1))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16686,plain,
% 8.62/6.22 (v90(constB85, bitIndex1)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16685, 16684, 16659])).
% 8.62/6.22 tff(16687,plain,
% 8.62/6.22 ((~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16688,plain,
% 8.62/6.22 (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16687, 16686, 16655, 16624])).
% 8.62/6.22 tff(16689,plain,
% 8.62/6.22 ((~(v125(constB85) <=> (~((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) | v125(constB85) | ((~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16690,plain,
% 8.62/6.22 (v125(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16689, 16688, 5740])).
% 8.62/6.22 tff(16691,plain,
% 8.62/6.22 ((v114(constB85) | v125(constB85)) | (~v125(constB85))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16692,plain,
% 8.62/6.22 (v114(constB85) | v125(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16691, 16690])).
% 8.62/6.22 tff(16693,plain,
% 8.62/6.22 ((~(v113(constB85) <=> (v114(constB85) | v125(constB85)))) | v113(constB85) | (~(v114(constB85) | v125(constB85)))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16694,plain,
% 8.62/6.22 (v113(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16693, 16692, 5733])).
% 8.62/6.22 tff(16695,plain,
% 8.62/6.22 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB85)) <=> v111(constB85))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16696,plain,
% 8.62/6.22 ((~v126(constB85)) <=> v111(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16695, 9720])).
% 8.62/6.22 tff(16697,plain,
% 8.62/6.22 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB85) <=> v26(constB85))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16698,plain,
% 8.62/6.22 (v111(constB85) <=> v26(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16697, 9732])).
% 8.62/6.22 tff(16699,plain,
% 8.62/6.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16700,plain,
% 8.62/6.22 (~v26(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16699, 9744])).
% 8.62/6.22 tff(16701,plain,
% 8.62/6.22 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85)) | v26(constB85)),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16702,plain,
% 8.62/6.22 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16701, 16700])).
% 8.62/6.22 tff(16703,plain,
% 8.62/6.22 (~v111(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16702, 16698])).
% 8.62/6.22 tff(16704,plain,
% 8.62/6.22 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85) | v111(constB85)),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16705,plain,
% 8.62/6.22 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16704, 16703])).
% 8.62/6.22 tff(16706,plain,
% 8.62/6.22 (v126(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16705, 16696])).
% 8.62/6.22 tff(16707,plain,
% 8.62/6.22 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85)) | (~v126(constB85))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16708,plain,
% 8.62/6.22 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16707, 16706])).
% 8.62/6.22 tff(16709,plain,
% 8.62/6.22 (~((~v113(constB85)) | (~v126(constB85)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16708, 16694])).
% 8.62/6.22 tff(16710,plain,
% 8.62/6.22 ((~(v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))) | v112(constB85) | ((~v113(constB85)) | (~v126(constB85)))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16711,plain,
% 8.62/6.22 (v112(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16710, 16709, 5731])).
% 8.62/6.22 tff(16712,plain,
% 8.62/6.22 ((v111(constB85) | v112(constB85)) | (~v112(constB85))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16713,plain,
% 8.62/6.22 (v111(constB85) | v112(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16712, 16711])).
% 8.62/6.22 tff(16714,plain,
% 8.62/6.22 ((~(v108(constB85) <=> (v111(constB85) | v112(constB85)))) | v108(constB85) | (~(v111(constB85) | v112(constB85)))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16715,plain,
% 8.62/6.22 (v108(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16714, 16713, 5729])).
% 8.62/6.22 tff(16716,plain,
% 8.62/6.22 ((~(v110(constB86) <=> v108(constB85))) | v110(constB86) | (~v108(constB85))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16717,plain,
% 8.62/6.22 (v110(constB86)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16716, 16715, 5727])).
% 8.62/6.22 tff(16718,plain,
% 8.62/6.22 ((~((~v101(constB86)) | (~v110(constB86)))) | (~v101(constB86)) | (~v110(constB86))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16719,plain,
% 8.62/6.22 (~((~v101(constB86)) | (~v110(constB86)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16718, 16717, 5723])).
% 8.62/6.22 tff(16720,plain,
% 8.62/6.22 ((~(v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))) | v100(constB86) | ((~v101(constB86)) | (~v110(constB86)))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16721,plain,
% 8.62/6.22 (v100(constB86)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16720, 16719, 5692])).
% 8.62/6.22 tff(16722,plain,
% 8.62/6.22 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B))))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16723,plain,
% 8.62/6.22 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B))))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16724,plain,
% 8.62/6.22 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 8.62/6.22 tff(16725,plain,
% 8.62/6.22 ((~v100(constB86)) | ![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16724, 9780])).
% 8.62/6.22 tff(16726,plain,
% 8.62/6.22 (![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16725, 16721])).
% 8.62/6.22 tff(16727,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16728,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16729,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex2)) | (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 8.62/6.22 tff(16730,plain,
% 8.62/6.22 (v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16729, 648, 16726])).
% 8.62/6.22 tff(16731,plain,
% 8.62/6.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B))))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16732,plain,
% 8.62/6.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B))))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16733,plain,
% 8.62/6.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 8.62/6.22 tff(16734,plain,
% 8.62/6.22 (![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16733, 5688, 9802])).
% 8.62/6.22 tff(16735,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16736,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16737,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex2)) | (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16736, 16735])).
% 8.62/6.22 tff(16738,plain,
% 8.62/6.22 (v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16737, 648, 16734])).
% 8.62/6.22 tff(16739,plain,
% 8.62/6.22 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB85) | ![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB85) | ![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B))))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16740,plain,
% 8.62/6.22 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB85) | ![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B))))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16741,plain,
% 8.62/6.22 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB85) | ![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16740, 16739])).
% 8.62/6.22 tff(16742,plain,
% 8.62/6.22 (![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16741, 9823, 16703])).
% 8.62/6.22 tff(16743,plain,
% 8.62/6.22 (((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16744,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16745,plain,
% 8.62/6.22 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex2)) | (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16744, 16743])).
% 8.62/6.22 tff(16746,plain,
% 8.62/6.22 (v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16745, 648, 16742])).
% 8.62/6.22 tff(16747,plain,
% 8.62/6.22 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16748,plain,
% 8.62/6.22 (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16747, 9620])).
% 8.62/6.22 tff(16749,plain,
% 8.62/6.22 ((v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex2))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16750,plain,
% 8.62/6.22 (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16749, 16624])).
% 8.62/6.22 tff(16751,plain,
% 8.62/6.22 ((~(v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))) | (~v119(constB85)) | (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16752,plain,
% 8.62/6.22 (~v119(constB85)),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16751, 16750, 16748])).
% 8.62/6.22 tff(16753,plain,
% 8.62/6.22 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16754,plain,
% 8.62/6.22 ((v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2))))) <=> (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 8.62/6.22 inference(rewrite,[status(thm)],[])).
% 8.62/6.22 tff(16755,plain,
% 8.62/6.22 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.22 inference(monotonicity,[status(thm)],[16754])).
% 8.62/6.22 tff(16756,plain,
% 8.62/6.22 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.22 inference(transitivity,[status(thm)],[16755, 16753])).
% 8.62/6.22 tff(16757,plain,
% 8.62/6.22 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))),
% 8.62/6.22 inference(quant_inst,[status(thm)],[])).
% 8.62/6.22 tff(16758,plain,
% 8.62/6.22 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 8.62/6.22 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 8.62/6.22 tff(16759,plain,
% 8.62/6.22 (v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 8.62/6.22 inference(unit_resolution,[status(thm)],[16758, 815])).
% 8.62/6.22 tff(16760,plain,
% 8.62/6.22 (((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex1))),
% 8.62/6.22 inference(tautology,[status(thm)],[])).
% 8.62/6.22 tff(16761,plain,
% 8.62/6.22 ((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16760, 16686])).
% 8.62/6.23 tff(16762,plain,
% 8.62/6.23 ((~(v124(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) | (~v124(constB85)) | (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16763,plain,
% 8.62/6.23 (~v124(constB85)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16762, 16761, 16759])).
% 8.62/6.23 tff(16764,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16765,plain,
% 8.62/6.23 ((v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2))))) <=> (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16766,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(monotonicity,[status(thm)],[16765])).
% 8.62/6.23 tff(16767,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(transitivity,[status(thm)],[16766, 16764])).
% 8.62/6.23 tff(16768,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16769,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16768, 16767])).
% 8.62/6.23 tff(16770,plain,
% 8.62/6.23 (v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16769, 919])).
% 8.62/6.23 tff(16771,plain,
% 8.62/6.23 (((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16772,plain,
% 8.62/6.23 ((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16771, 16686])).
% 8.62/6.23 tff(16773,plain,
% 8.62/6.23 ((~(v123(constB85) <=> (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0))))) | (~v123(constB85)) | (~((~v90(constB85, bitIndex2)) | v90(constB85, bitIndex1) | v90(constB85, bitIndex0)))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16774,plain,
% 8.62/6.23 (~v123(constB85)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16773, 16772, 16770])).
% 8.62/6.23 tff(16775,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16776,plain,
% 8.62/6.23 ((v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1))))) <=> (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16777,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.23 inference(monotonicity,[status(thm)],[16776])).
% 8.62/6.23 tff(16778,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.23 inference(transitivity,[status(thm)],[16777, 16775])).
% 8.62/6.23 tff(16779,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16780,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 8.62/6.23 tff(16781,plain,
% 8.62/6.23 (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16780, 1025])).
% 8.62/6.23 tff(16782,plain,
% 8.62/6.23 ((v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16783,plain,
% 8.62/6.23 (v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16782, 16624])).
% 8.62/6.23 tff(16784,plain,
% 8.62/6.23 ((~(v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))) | (~v122(constB85)) | (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16785,plain,
% 8.62/6.23 (~v122(constB85)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16784, 16783, 16781])).
% 8.62/6.23 tff(16786,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16787,plain,
% 8.62/6.23 ((v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1))))) <=> (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16788,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(monotonicity,[status(thm)],[16787])).
% 8.62/6.23 tff(16789,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(transitivity,[status(thm)],[16788, 16786])).
% 8.62/6.23 tff(16790,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16791,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16790, 16789])).
% 8.62/6.23 tff(16792,plain,
% 8.62/6.23 (v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16791, 1133])).
% 8.62/6.23 tff(16793,plain,
% 8.62/6.23 ((v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16794,plain,
% 8.62/6.23 (v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16793, 16624])).
% 8.62/6.23 tff(16795,plain,
% 8.62/6.23 ((~(v121(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0))))) | (~v121(constB85)) | (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | v90(constB85, bitIndex0)))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16796,plain,
% 8.62/6.23 (~v121(constB85)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16795, 16794, 16792])).
% 8.62/6.23 tff(16797,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16798,plain,
% 8.62/6.23 ((v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))))) <=> (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16799,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.23 inference(monotonicity,[status(thm)],[16798])).
% 8.62/6.23 tff(16800,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))))),
% 8.62/6.23 inference(transitivity,[status(thm)],[16799, 16797])).
% 8.62/6.23 tff(16801,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16802,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16801, 16800])).
% 8.62/6.23 tff(16803,plain,
% 8.62/6.23 (v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16802, 610])).
% 8.62/6.23 tff(16804,plain,
% 8.62/6.23 ((v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16805,plain,
% 8.62/6.23 (v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16804, 16624])).
% 8.62/6.23 tff(16806,plain,
% 8.62/6.23 ((~(v120(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)))))) | (~v120(constB85)) | (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0))))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16807,plain,
% 8.62/6.23 (~v120(constB85)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16806, 16805, 16803])).
% 8.62/6.23 tff(16808,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16809,plain,
% 8.62/6.23 ((v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) <=> (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16810,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))))),
% 8.62/6.23 inference(monotonicity,[status(thm)],[16809])).
% 8.62/6.23 tff(16811,plain,
% 8.62/6.23 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))),
% 8.62/6.23 inference(transitivity,[status(thm)],[16810, 16808])).
% 8.62/6.23 tff(16812,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B))))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16813,plain,
% 8.62/6.23 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16812, 16811])).
% 8.62/6.23 tff(16814,plain,
% 8.62/6.23 (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | ![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16813, 10951])).
% 8.62/6.23 tff(16815,plain,
% 8.62/6.23 (![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16814, 16807, 16796, 16785, 16774, 16763, 16752])).
% 8.62/6.23 tff(16816,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16817,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16818,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB85, bitIndex2) <=> b001(bitIndex2))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16817, 16816])).
% 8.62/6.23 tff(16819,plain,
% 8.62/6.23 (v130(constB85, bitIndex2) <=> b001(bitIndex2)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16818, 648, 16815])).
% 8.62/6.23 tff(16820,plain,
% 8.62/6.23 ((~(v130(constB85, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB85, bitIndex2)) | b001(bitIndex2)),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16821,plain,
% 8.62/6.23 ((~(v130(constB85, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB85, bitIndex2))),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16820, 9855])).
% 8.62/6.23 tff(16822,plain,
% 8.62/6.23 (~v130(constB85, bitIndex2)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16821, 16819])).
% 8.62/6.23 tff(16823,plain,
% 8.62/6.23 ((~(v127(constB85, bitIndex2) <=> v130(constB85, bitIndex2))) | (~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16824,plain,
% 8.62/6.23 (~v127(constB85, bitIndex2)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16823, 16822, 16746])).
% 8.62/6.23 tff(16825,plain,
% 8.62/6.23 ((~(v129(constB86, bitIndex2) <=> v127(constB85, bitIndex2))) | (~v129(constB86, bitIndex2)) | v127(constB85, bitIndex2)),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16826,plain,
% 8.62/6.23 (~v129(constB86, bitIndex2)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16825, 16824, 16738])).
% 8.62/6.23 tff(16827,plain,
% 8.62/6.23 ((~(v90(constB86, bitIndex2) <=> v129(constB86, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2)),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16828,plain,
% 8.62/6.23 (~v90(constB86, bitIndex2)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16827, 16826, 16730])).
% 8.62/6.23 tff(16829,plain,
% 8.62/6.23 ((~(v90(constB87, bitIndex2) <=> v90(constB86, bitIndex2))) | (~v90(constB87, bitIndex2)) | v90(constB86, bitIndex2)),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16830,plain,
% 8.62/6.23 (~v90(constB87, bitIndex2)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16829, 16828, 5685])).
% 8.62/6.23 tff(16831,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16832,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16833,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16832, 16831])).
% 8.62/6.23 tff(16834,plain,
% 8.62/6.23 (v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16833, 9653, 5681])).
% 8.62/6.23 tff(16835,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16836,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16837,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex0)) | (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16836, 16835])).
% 8.62/6.23 tff(16838,plain,
% 8.62/6.23 (v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16837, 9653, 16726])).
% 8.62/6.23 tff(16839,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16840,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16841,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex0)) | (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16840, 16839])).
% 8.62/6.23 tff(16842,plain,
% 8.62/6.23 (v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16841, 9653, 16734])).
% 8.62/6.23 tff(16843,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16844,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16845,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex0)) | (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16844, 16843])).
% 8.62/6.23 tff(16846,plain,
% 8.62/6.23 (v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16845, 9653, 16742])).
% 8.62/6.23 tff(16847,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16848,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16849,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB85, bitIndex0) <=> b001(bitIndex0))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 8.62/6.23 tff(16850,plain,
% 8.62/6.23 (v130(constB85, bitIndex0) <=> b001(bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16849, 9653, 16815])).
% 8.62/6.23 tff(16851,plain,
% 8.62/6.23 ((~(v130(constB85, bitIndex0) <=> b001(bitIndex0))) | v130(constB85, bitIndex0) | (~b001(bitIndex0))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16852,plain,
% 8.62/6.23 ((~(v130(constB85, bitIndex0) <=> b001(bitIndex0))) | v130(constB85, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16851, 9889])).
% 8.62/6.23 tff(16853,plain,
% 8.62/6.23 (v130(constB85, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16852, 16850])).
% 8.62/6.23 tff(16854,plain,
% 8.62/6.23 ((~(v127(constB85, bitIndex0) <=> v130(constB85, bitIndex0))) | v127(constB85, bitIndex0) | (~v130(constB85, bitIndex0))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16855,plain,
% 8.62/6.23 (v127(constB85, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16854, 16853, 16846])).
% 8.62/6.23 tff(16856,plain,
% 8.62/6.23 ((~(v129(constB86, bitIndex0) <=> v127(constB85, bitIndex0))) | v129(constB86, bitIndex0) | (~v127(constB85, bitIndex0))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16857,plain,
% 8.62/6.23 (v129(constB86, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16856, 16855, 16842])).
% 8.62/6.23 tff(16858,plain,
% 8.62/6.23 ((~(v90(constB86, bitIndex0) <=> v129(constB86, bitIndex0))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16859,plain,
% 8.62/6.23 (v90(constB86, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16858, 16857, 16838])).
% 8.62/6.23 tff(16860,plain,
% 8.62/6.23 ((~(v90(constB87, bitIndex0) <=> v90(constB86, bitIndex0))) | v90(constB87, bitIndex0) | (~v90(constB86, bitIndex0))),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16861,plain,
% 8.62/6.23 (v90(constB87, bitIndex0)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16860, 16859, 16834])).
% 8.62/6.23 tff(16862,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16863,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16864,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB87, B) <=> v90(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 8.62/6.23 tff(16865,plain,
% 8.62/6.23 (v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16864, 375, 5681])).
% 8.62/6.23 tff(16866,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16867,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | ((~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16868,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v90(constB86, B) <=> v129(constB86, B)))) | (~less_3(bitIndex1)) | (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16867, 16866])).
% 8.62/6.23 tff(16869,plain,
% 8.62/6.23 (v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16868, 375, 16726])).
% 8.62/6.23 tff(16870,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16871,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | ((~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16872,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v129(constB86, B) <=> v127(constB85, B)))) | (~less_3(bitIndex1)) | (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16871, 16870])).
% 8.62/6.23 tff(16873,plain,
% 8.62/6.23 (v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16872, 375, 16734])).
% 8.62/6.23 tff(16874,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16875,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | ((~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16876,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v127(constB85, B) <=> v130(constB85, B)))) | (~less_3(bitIndex1)) | (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16875, 16874])).
% 8.62/6.23 tff(16877,plain,
% 8.62/6.23 (v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16876, 375, 16742])).
% 8.62/6.23 tff(16878,plain,
% 8.62/6.23 (((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1)))),
% 8.62/6.23 inference(rewrite,[status(thm)],[])).
% 8.62/6.23 tff(16879,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1)))),
% 8.62/6.23 inference(quant_inst,[status(thm)],[])).
% 8.62/6.23 tff(16880,plain,
% 8.62/6.23 ((~![B: $i] : ((~less_3(B)) | (v130(constB85, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB85, bitIndex1) <=> b001(bitIndex1))),
% 8.62/6.23 inference(modus_ponens,[status(thm)],[16879, 16878])).
% 8.62/6.23 tff(16881,plain,
% 8.62/6.23 (v130(constB85, bitIndex1) <=> b001(bitIndex1)),
% 8.62/6.23 inference(unit_resolution,[status(thm)],[16880, 375, 16815])).
% 8.62/6.23 tff(16882,plain,
% 8.62/6.23 ((~(v130(constB85, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB85, bitIndex1)) | b001(bitIndex1)),
% 8.62/6.23 inference(tautology,[status(thm)],[])).
% 8.62/6.23 tff(16883,plain,
% 8.62/6.23 ((~(v130(constB85, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB85, bitIndex1))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16882, 9923])).
% 8.62/6.24 tff(16884,plain,
% 8.62/6.24 (~v130(constB85, bitIndex1)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16883, 16881])).
% 8.62/6.24 tff(16885,plain,
% 8.62/6.24 ((~(v127(constB85, bitIndex1) <=> v130(constB85, bitIndex1))) | (~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16886,plain,
% 8.62/6.24 (~v127(constB85, bitIndex1)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16885, 16884, 16877])).
% 8.62/6.24 tff(16887,plain,
% 8.62/6.24 ((~(v129(constB86, bitIndex1) <=> v127(constB85, bitIndex1))) | (~v129(constB86, bitIndex1)) | v127(constB85, bitIndex1)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16888,plain,
% 8.62/6.24 (~v129(constB86, bitIndex1)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16887, 16886, 16873])).
% 8.62/6.24 tff(16889,plain,
% 8.62/6.24 ((~(v90(constB86, bitIndex1) <=> v129(constB86, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16890,plain,
% 8.62/6.24 (~v90(constB86, bitIndex1)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16889, 16888, 16869])).
% 8.62/6.24 tff(16891,plain,
% 8.62/6.24 ((~(v90(constB87, bitIndex1) <=> v90(constB86, bitIndex1))) | (~v90(constB87, bitIndex1)) | v90(constB86, bitIndex1)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16892,plain,
% 8.62/6.24 (~v90(constB87, bitIndex1)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16891, 16890, 16865])).
% 8.62/6.24 tff(16893,plain,
% 8.62/6.24 ((~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))) | v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16894,plain,
% 8.62/6.24 (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16893, 16892, 16861, 16830])).
% 8.62/6.24 tff(16895,plain,
% 8.62/6.24 ((~(v120(constB87) <=> (~(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))))) | v120(constB87) | (v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex0)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16896,plain,
% 8.62/6.24 (v120(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16895, 16894, 5653])).
% 8.62/6.24 tff(16897,plain,
% 8.62/6.24 ((v119(constB87) | v120(constB87)) | (~v120(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16898,plain,
% 8.62/6.24 (v119(constB87) | v120(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16897, 16896])).
% 8.62/6.24 tff(16899,plain,
% 8.62/6.24 ((~(v118(constB87) <=> (v119(constB87) | v120(constB87)))) | v118(constB87) | (~(v119(constB87) | v120(constB87)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16900,plain,
% 8.62/6.24 (v118(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16899, 16898, 5646])).
% 8.62/6.24 tff(16901,plain,
% 8.62/6.24 ((v118(constB87) | v121(constB87)) | (~v118(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16902,plain,
% 8.62/6.24 (v118(constB87) | v121(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16901, 16900])).
% 8.62/6.24 tff(16903,plain,
% 8.62/6.24 ((~(v117(constB87) <=> (v118(constB87) | v121(constB87)))) | v117(constB87) | (~(v118(constB87) | v121(constB87)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16904,plain,
% 8.62/6.24 (v117(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16903, 16902, 5644])).
% 8.62/6.24 tff(16905,plain,
% 8.62/6.24 ((v117(constB87) | v122(constB87)) | (~v117(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16906,plain,
% 8.62/6.24 (v117(constB87) | v122(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16905, 16904])).
% 8.62/6.24 tff(16907,plain,
% 8.62/6.24 ((~(v116(constB87) <=> (v117(constB87) | v122(constB87)))) | v116(constB87) | (~(v117(constB87) | v122(constB87)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16908,plain,
% 8.62/6.24 (v116(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16907, 16906, 5642])).
% 8.62/6.24 tff(16909,plain,
% 8.62/6.24 ((v116(constB87) | v123(constB87)) | (~v116(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16910,plain,
% 8.62/6.24 (v116(constB87) | v123(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16909, 16908])).
% 8.62/6.24 tff(16911,plain,
% 8.62/6.24 ((~(v115(constB87) <=> (v116(constB87) | v123(constB87)))) | v115(constB87) | (~(v116(constB87) | v123(constB87)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16912,plain,
% 8.62/6.24 (v115(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16911, 16910, 5640])).
% 8.62/6.24 tff(16913,plain,
% 8.62/6.24 ((v115(constB87) | v124(constB87)) | (~v115(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16914,plain,
% 8.62/6.24 (v115(constB87) | v124(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16913, 16912])).
% 8.62/6.24 tff(16915,plain,
% 8.62/6.24 ((~(v114(constB87) <=> (v115(constB87) | v124(constB87)))) | v114(constB87) | (~(v115(constB87) | v124(constB87)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16916,plain,
% 8.62/6.24 (v114(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16915, 16914, 5638])).
% 8.62/6.24 tff(16917,plain,
% 8.62/6.24 ((v114(constB87) | v125(constB87)) | (~v114(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16918,plain,
% 8.62/6.24 (v114(constB87) | v125(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16917, 16916])).
% 8.62/6.24 tff(16919,plain,
% 8.62/6.24 ((~(v113(constB87) <=> (v114(constB87) | v125(constB87)))) | v113(constB87) | (~(v114(constB87) | v125(constB87)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16920,plain,
% 8.62/6.24 (v113(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16919, 16918, 5636])).
% 8.62/6.24 tff(16921,plain,
% 8.62/6.24 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB87)) <=> v111(constB87))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16922,plain,
% 8.62/6.24 ((~v126(constB87)) <=> v111(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16921, 9720])).
% 8.62/6.24 tff(16923,plain,
% 8.62/6.24 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB87) <=> v26(constB87))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16924,plain,
% 8.62/6.24 (v111(constB87) <=> v26(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16923, 9732])).
% 8.62/6.24 tff(16925,plain,
% 8.62/6.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16926,plain,
% 8.62/6.24 (~v26(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16925, 9744])).
% 8.62/6.24 tff(16927,plain,
% 8.62/6.24 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87)) | v26(constB87)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16928,plain,
% 8.62/6.24 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16927, 16926])).
% 8.62/6.24 tff(16929,plain,
% 8.62/6.24 (~v111(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16928, 16924])).
% 8.62/6.24 tff(16930,plain,
% 8.62/6.24 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87) | v111(constB87)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16931,plain,
% 8.62/6.24 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16930, 16929])).
% 8.62/6.24 tff(16932,plain,
% 8.62/6.24 (v126(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16931, 16922])).
% 8.62/6.24 tff(16933,plain,
% 8.62/6.24 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87)) | (~v126(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16934,plain,
% 8.62/6.24 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16933, 16932])).
% 8.62/6.24 tff(16935,plain,
% 8.62/6.24 (~((~v113(constB87)) | (~v126(constB87)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16934, 16920])).
% 8.62/6.24 tff(16936,plain,
% 8.62/6.24 ((~(v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))) | v112(constB87) | ((~v113(constB87)) | (~v126(constB87)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16937,plain,
% 8.62/6.24 (v112(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16936, 16935, 5634])).
% 8.62/6.24 tff(16938,plain,
% 8.62/6.24 ((v111(constB87) | v112(constB87)) | (~v112(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16939,plain,
% 8.62/6.24 (v111(constB87) | v112(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16938, 16937])).
% 8.62/6.24 tff(16940,plain,
% 8.62/6.24 ((~(v108(constB87) <=> (v111(constB87) | v112(constB87)))) | v108(constB87) | (~(v111(constB87) | v112(constB87)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16941,plain,
% 8.62/6.24 (v108(constB87)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16940, 16939, 5632])).
% 8.62/6.24 tff(16942,plain,
% 8.62/6.24 ((~(v110(constB88) <=> v108(constB87))) | v110(constB88) | (~v108(constB87))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16943,plain,
% 8.62/6.24 (v110(constB88)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16942, 16941, 5630])).
% 8.62/6.24 tff(16944,plain,
% 8.62/6.24 ((~((~v101(constB88)) | (~v110(constB88)))) | (~v101(constB88)) | (~v110(constB88))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16945,plain,
% 8.62/6.24 (~((~v101(constB88)) | (~v110(constB88)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16944, 16943, 5626])).
% 8.62/6.24 tff(16946,plain,
% 8.62/6.24 ((~(v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))) | v100(constB88) | ((~v101(constB88)) | (~v110(constB88)))),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16947,plain,
% 8.62/6.24 (v100(constB88)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16946, 16945, 5595])).
% 8.62/6.24 tff(16948,plain,
% 8.62/6.24 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B))))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16949,plain,
% 8.62/6.24 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B))))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16950,plain,
% 8.62/6.24 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))),
% 8.62/6.24 inference(modus_ponens,[status(thm)],[16949, 16948])).
% 8.62/6.24 tff(16951,plain,
% 8.62/6.24 ((~v100(constB88)) | ![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16950, 9780])).
% 8.62/6.24 tff(16952,plain,
% 8.62/6.24 (![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16951, 16947])).
% 8.62/6.24 tff(16953,plain,
% 8.62/6.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16954,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16955,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex2)) | (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2))),
% 8.62/6.24 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 8.62/6.24 tff(16956,plain,
% 8.62/6.24 (v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16955, 648, 16952])).
% 8.62/6.24 tff(16957,plain,
% 8.62/6.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B))))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16958,plain,
% 8.62/6.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B))))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16959,plain,
% 8.62/6.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))),
% 8.62/6.24 inference(modus_ponens,[status(thm)],[16958, 16957])).
% 8.62/6.24 tff(16960,plain,
% 8.62/6.24 (![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16959, 5591, 9802])).
% 8.62/6.24 tff(16961,plain,
% 8.62/6.24 (((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16962,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16963,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex2)) | (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2))),
% 8.62/6.24 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 8.62/6.24 tff(16964,plain,
% 8.62/6.24 (v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16963, 648, 16960])).
% 8.62/6.24 tff(16965,plain,
% 8.62/6.24 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB87) | ![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB87) | ![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B))))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16966,plain,
% 8.62/6.24 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB87) | ![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B))))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16967,plain,
% 8.62/6.24 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB87) | ![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))),
% 8.62/6.24 inference(modus_ponens,[status(thm)],[16966, 16965])).
% 8.62/6.24 tff(16968,plain,
% 8.62/6.24 (![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16967, 9823, 16929])).
% 8.62/6.24 tff(16969,plain,
% 8.62/6.24 (((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16970,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16971,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex2)) | (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2))),
% 8.62/6.24 inference(modus_ponens,[status(thm)],[16970, 16969])).
% 8.62/6.24 tff(16972,plain,
% 8.62/6.24 (v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16971, 648, 16968])).
% 8.62/6.24 tff(16973,plain,
% 8.62/6.24 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B))))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16974,plain,
% 8.62/6.24 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B))))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16975,plain,
% 8.62/6.24 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))),
% 8.62/6.24 inference(modus_ponens,[status(thm)],[16974, 16973])).
% 8.62/6.24 tff(16976,plain,
% 8.62/6.24 ((~v120(constB87)) | ![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16975, 10027])).
% 8.62/6.24 tff(16977,plain,
% 8.62/6.24 (![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16976, 16896])).
% 8.62/6.24 tff(16978,plain,
% 8.62/6.24 (((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2)))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16979,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2)))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16980,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB87, bitIndex2) <=> b010(bitIndex2))),
% 8.62/6.24 inference(modus_ponens,[status(thm)],[16979, 16978])).
% 8.62/6.24 tff(16981,plain,
% 8.62/6.24 (v130(constB87, bitIndex2) <=> b010(bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16980, 648, 16977])).
% 8.62/6.24 tff(16982,plain,
% 8.62/6.24 ((~(v130(constB87, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB87, bitIndex2)) | b010(bitIndex2)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16983,plain,
% 8.62/6.24 ((~(v130(constB87, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB87, bitIndex2))),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16982, 10039])).
% 8.62/6.24 tff(16984,plain,
% 8.62/6.24 (~v130(constB87, bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16983, 16981])).
% 8.62/6.24 tff(16985,plain,
% 8.62/6.24 ((~(v127(constB87, bitIndex2) <=> v130(constB87, bitIndex2))) | (~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16986,plain,
% 8.62/6.24 (~v127(constB87, bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16985, 16984, 16972])).
% 8.62/6.24 tff(16987,plain,
% 8.62/6.24 ((~(v129(constB88, bitIndex2) <=> v127(constB87, bitIndex2))) | (~v129(constB88, bitIndex2)) | v127(constB87, bitIndex2)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16988,plain,
% 8.62/6.24 (~v129(constB88, bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16987, 16986, 16964])).
% 8.62/6.24 tff(16989,plain,
% 8.62/6.24 ((~(v90(constB88, bitIndex2) <=> v129(constB88, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16990,plain,
% 8.62/6.24 (~v90(constB88, bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16989, 16988, 16956])).
% 8.62/6.24 tff(16991,plain,
% 8.62/6.24 ((~(v90(constB89, bitIndex2) <=> v90(constB88, bitIndex2))) | (~v90(constB89, bitIndex2)) | v90(constB88, bitIndex2)),
% 8.62/6.24 inference(tautology,[status(thm)],[])).
% 8.62/6.24 tff(16992,plain,
% 8.62/6.24 (~v90(constB89, bitIndex2)),
% 8.62/6.24 inference(unit_resolution,[status(thm)],[16991, 16990, 5588])).
% 8.62/6.24 tff(16993,plain,
% 8.62/6.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)))),
% 8.62/6.24 inference(rewrite,[status(thm)],[])).
% 8.62/6.24 tff(16994,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)))),
% 8.62/6.24 inference(quant_inst,[status(thm)],[])).
% 8.62/6.24 tff(16995,plain,
% 8.62/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[16994, 16993])).
% 8.67/6.24 tff(16996,plain,
% 8.67/6.24 (v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[16995, 9653, 5584])).
% 8.67/6.24 tff(16997,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(16998,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(16999,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex0)) | (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[16998, 16997])).
% 8.67/6.24 tff(17000,plain,
% 8.67/6.24 (v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[16999, 9653, 16952])).
% 8.67/6.24 tff(17001,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(17002,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(17003,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex0)) | (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[17002, 17001])).
% 8.67/6.24 tff(17004,plain,
% 8.67/6.24 (v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17003, 9653, 16960])).
% 8.67/6.24 tff(17005,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(17006,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(17007,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex0)) | (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 8.67/6.24 tff(17008,plain,
% 8.67/6.24 (v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17007, 9653, 16968])).
% 8.67/6.24 tff(17009,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(17010,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(17011,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB87, bitIndex0) <=> b010(bitIndex0))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[17010, 17009])).
% 8.67/6.24 tff(17012,plain,
% 8.67/6.24 (v130(constB87, bitIndex0) <=> b010(bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17011, 9653, 16977])).
% 8.67/6.24 tff(17013,plain,
% 8.67/6.24 ((~(v130(constB87, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB87, bitIndex0)) | b010(bitIndex0)),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17014,plain,
% 8.67/6.24 ((~(v130(constB87, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB87, bitIndex0))),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17013, 10073])).
% 8.67/6.24 tff(17015,plain,
% 8.67/6.24 (~v130(constB87, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17014, 17012])).
% 8.67/6.24 tff(17016,plain,
% 8.67/6.24 ((~(v127(constB87, bitIndex0) <=> v130(constB87, bitIndex0))) | (~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17017,plain,
% 8.67/6.24 (~v127(constB87, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17016, 17015, 17008])).
% 8.67/6.24 tff(17018,plain,
% 8.67/6.24 ((~(v129(constB88, bitIndex0) <=> v127(constB87, bitIndex0))) | (~v129(constB88, bitIndex0)) | v127(constB87, bitIndex0)),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17019,plain,
% 8.67/6.24 (~v129(constB88, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17018, 17017, 17004])).
% 8.67/6.24 tff(17020,plain,
% 8.67/6.24 ((~(v90(constB88, bitIndex0) <=> v129(constB88, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0)),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17021,plain,
% 8.67/6.24 (~v90(constB88, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17020, 17019, 17000])).
% 8.67/6.24 tff(17022,plain,
% 8.67/6.24 ((~(v90(constB89, bitIndex0) <=> v90(constB88, bitIndex0))) | (~v90(constB89, bitIndex0)) | v90(constB88, bitIndex0)),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17023,plain,
% 8.67/6.24 (~v90(constB89, bitIndex0)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17022, 17021, 16996])).
% 8.67/6.24 tff(17024,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(17025,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(17026,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB89, B) <=> v90(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 8.67/6.24 tff(17027,plain,
% 8.67/6.24 (v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17026, 375, 5584])).
% 8.67/6.24 tff(17028,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(17029,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | ((~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(17030,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v90(constB88, B) <=> v129(constB88, B)))) | (~less_3(bitIndex1)) | (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[17029, 17028])).
% 8.67/6.24 tff(17031,plain,
% 8.67/6.24 (v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17030, 375, 16952])).
% 8.67/6.24 tff(17032,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(17033,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | ((~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(17034,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v129(constB88, B) <=> v127(constB87, B)))) | (~less_3(bitIndex1)) | (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[17033, 17032])).
% 8.67/6.24 tff(17035,plain,
% 8.67/6.24 (v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17034, 375, 16960])).
% 8.67/6.24 tff(17036,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(17037,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | ((~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(17038,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v127(constB87, B) <=> v130(constB87, B)))) | (~less_3(bitIndex1)) | (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[17037, 17036])).
% 8.67/6.24 tff(17039,plain,
% 8.67/6.24 (v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17038, 375, 16968])).
% 8.67/6.24 tff(17040,plain,
% 8.67/6.24 (((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1)))),
% 8.67/6.24 inference(rewrite,[status(thm)],[])).
% 8.67/6.24 tff(17041,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1)))),
% 8.67/6.24 inference(quant_inst,[status(thm)],[])).
% 8.67/6.24 tff(17042,plain,
% 8.67/6.24 ((~![B: $i] : ((~less_3(B)) | (v130(constB87, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB87, bitIndex1) <=> b010(bitIndex1))),
% 8.67/6.24 inference(modus_ponens,[status(thm)],[17041, 17040])).
% 8.67/6.24 tff(17043,plain,
% 8.67/6.24 (v130(constB87, bitIndex1) <=> b010(bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17042, 375, 16977])).
% 8.67/6.24 tff(17044,plain,
% 8.67/6.24 ((~(v130(constB87, bitIndex1) <=> b010(bitIndex1))) | v130(constB87, bitIndex1) | (~b010(bitIndex1))),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17045,plain,
% 8.67/6.24 ((~(v130(constB87, bitIndex1) <=> b010(bitIndex1))) | v130(constB87, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17044, 10107])).
% 8.67/6.24 tff(17046,plain,
% 8.67/6.24 (v130(constB87, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17045, 17043])).
% 8.67/6.24 tff(17047,plain,
% 8.67/6.24 ((~(v127(constB87, bitIndex1) <=> v130(constB87, bitIndex1))) | v127(constB87, bitIndex1) | (~v130(constB87, bitIndex1))),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17048,plain,
% 8.67/6.24 (v127(constB87, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17047, 17046, 17039])).
% 8.67/6.24 tff(17049,plain,
% 8.67/6.24 ((~(v129(constB88, bitIndex1) <=> v127(constB87, bitIndex1))) | v129(constB88, bitIndex1) | (~v127(constB87, bitIndex1))),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17050,plain,
% 8.67/6.24 (v129(constB88, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17049, 17048, 17035])).
% 8.67/6.24 tff(17051,plain,
% 8.67/6.24 ((~(v90(constB88, bitIndex1) <=> v129(constB88, bitIndex1))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 8.67/6.24 inference(tautology,[status(thm)],[])).
% 8.67/6.24 tff(17052,plain,
% 8.67/6.24 (v90(constB88, bitIndex1)),
% 8.67/6.24 inference(unit_resolution,[status(thm)],[17051, 17050, 17031])).
% 8.67/6.24 tff(17053,plain,
% 8.67/6.24 ((~(v90(constB89, bitIndex1) <=> v90(constB88, bitIndex1))) | v90(constB89, bitIndex1) | (~v90(constB88, bitIndex1))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17054,plain,
% 8.67/6.25 (v90(constB89, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17053, 17052, 17027])).
% 8.67/6.25 tff(17055,plain,
% 8.67/6.25 ((~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0)),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17056,plain,
% 8.67/6.25 (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17055, 17054, 17023, 16992])).
% 8.67/6.25 tff(17057,plain,
% 8.67/6.25 ((~(v121(constB89) <=> (~(v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))))) | v121(constB89) | (v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex0))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17058,plain,
% 8.67/6.25 (v121(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17057, 17056, 5556])).
% 8.67/6.25 tff(17059,plain,
% 8.67/6.25 ((v118(constB89) | v121(constB89)) | (~v121(constB89))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17060,plain,
% 8.67/6.25 (v118(constB89) | v121(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17059, 17058])).
% 8.67/6.25 tff(17061,plain,
% 8.67/6.25 ((~(v117(constB89) <=> (v118(constB89) | v121(constB89)))) | v117(constB89) | (~(v118(constB89) | v121(constB89)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17062,plain,
% 8.67/6.25 (v117(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17061, 17060, 5549])).
% 8.67/6.25 tff(17063,plain,
% 8.67/6.25 ((v117(constB89) | v122(constB89)) | (~v117(constB89))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17064,plain,
% 8.67/6.25 (v117(constB89) | v122(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17063, 17062])).
% 8.67/6.25 tff(17065,plain,
% 8.67/6.25 ((~(v116(constB89) <=> (v117(constB89) | v122(constB89)))) | v116(constB89) | (~(v117(constB89) | v122(constB89)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17066,plain,
% 8.67/6.25 (v116(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17065, 17064, 5547])).
% 8.67/6.25 tff(17067,plain,
% 8.67/6.25 ((v116(constB89) | v123(constB89)) | (~v116(constB89))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17068,plain,
% 8.67/6.25 (v116(constB89) | v123(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17067, 17066])).
% 8.67/6.25 tff(17069,plain,
% 8.67/6.25 ((~(v115(constB89) <=> (v116(constB89) | v123(constB89)))) | v115(constB89) | (~(v116(constB89) | v123(constB89)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17070,plain,
% 8.67/6.25 (v115(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17069, 17068, 5545])).
% 8.67/6.25 tff(17071,plain,
% 8.67/6.25 ((v115(constB89) | v124(constB89)) | (~v115(constB89))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17072,plain,
% 8.67/6.25 (v115(constB89) | v124(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17071, 17070])).
% 8.67/6.25 tff(17073,plain,
% 8.67/6.25 ((~(v114(constB89) <=> (v115(constB89) | v124(constB89)))) | v114(constB89) | (~(v115(constB89) | v124(constB89)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17074,plain,
% 8.67/6.25 (v114(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17073, 17072, 5543])).
% 8.67/6.25 tff(17075,plain,
% 8.67/6.25 ((v114(constB89) | v125(constB89)) | (~v114(constB89))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17076,plain,
% 8.67/6.25 (v114(constB89) | v125(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17075, 17074])).
% 8.67/6.25 tff(17077,plain,
% 8.67/6.25 ((~(v113(constB89) <=> (v114(constB89) | v125(constB89)))) | v113(constB89) | (~(v114(constB89) | v125(constB89)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17078,plain,
% 8.67/6.25 (v113(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17077, 17076, 5541])).
% 8.67/6.25 tff(17079,plain,
% 8.67/6.25 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB89)) <=> v111(constB89))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17080,plain,
% 8.67/6.25 ((~v126(constB89)) <=> v111(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17079, 9720])).
% 8.67/6.25 tff(17081,plain,
% 8.67/6.25 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB89) <=> v26(constB89))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17082,plain,
% 8.67/6.25 (v111(constB89) <=> v26(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17081, 9732])).
% 8.67/6.25 tff(17083,plain,
% 8.67/6.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17084,plain,
% 8.67/6.25 (~v26(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17083, 9744])).
% 8.67/6.25 tff(17085,plain,
% 8.67/6.25 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89)) | v26(constB89)),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17086,plain,
% 8.67/6.25 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17085, 17084])).
% 8.67/6.25 tff(17087,plain,
% 8.67/6.25 (~v111(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17086, 17082])).
% 8.67/6.25 tff(17088,plain,
% 8.67/6.25 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89) | v111(constB89)),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17089,plain,
% 8.67/6.25 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17088, 17087])).
% 8.67/6.25 tff(17090,plain,
% 8.67/6.25 (v126(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17089, 17080])).
% 8.67/6.25 tff(17091,plain,
% 8.67/6.25 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89)) | (~v126(constB89))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17092,plain,
% 8.67/6.25 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17091, 17090])).
% 8.67/6.25 tff(17093,plain,
% 8.67/6.25 (~((~v113(constB89)) | (~v126(constB89)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17092, 17078])).
% 8.67/6.25 tff(17094,plain,
% 8.67/6.25 ((~(v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))) | v112(constB89) | ((~v113(constB89)) | (~v126(constB89)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17095,plain,
% 8.67/6.25 (v112(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17094, 17093, 5539])).
% 8.67/6.25 tff(17096,plain,
% 8.67/6.25 ((v111(constB89) | v112(constB89)) | (~v112(constB89))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17097,plain,
% 8.67/6.25 (v111(constB89) | v112(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17096, 17095])).
% 8.67/6.25 tff(17098,plain,
% 8.67/6.25 ((~(v108(constB89) <=> (v111(constB89) | v112(constB89)))) | v108(constB89) | (~(v111(constB89) | v112(constB89)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17099,plain,
% 8.67/6.25 (v108(constB89)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17098, 17097, 5537])).
% 8.67/6.25 tff(17100,plain,
% 8.67/6.25 ((~(v110(constB90) <=> v108(constB89))) | v110(constB90) | (~v108(constB89))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17101,plain,
% 8.67/6.25 (v110(constB90)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17100, 17099, 5535])).
% 8.67/6.25 tff(17102,plain,
% 8.67/6.25 ((~((~v101(constB90)) | (~v110(constB90)))) | (~v101(constB90)) | (~v110(constB90))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17103,plain,
% 8.67/6.25 (~((~v101(constB90)) | (~v110(constB90)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17102, 17101, 5531])).
% 8.67/6.25 tff(17104,plain,
% 8.67/6.25 ((~(v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))) | v100(constB90) | ((~v101(constB90)) | (~v110(constB90)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17105,plain,
% 8.67/6.25 (v100(constB90)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17104, 17103, 5500])).
% 8.67/6.25 tff(17106,plain,
% 8.67/6.25 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B))))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17107,plain,
% 8.67/6.25 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B))))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17108,plain,
% 8.67/6.25 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17107, 17106])).
% 8.67/6.25 tff(17109,plain,
% 8.67/6.25 ((~v100(constB90)) | ![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17108, 9780])).
% 8.67/6.25 tff(17110,plain,
% 8.67/6.25 (![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17109, 17105])).
% 8.67/6.25 tff(17111,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17112,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17113,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex2)) | (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 8.67/6.25 tff(17114,plain,
% 8.67/6.25 (v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17113, 648, 17110])).
% 8.67/6.25 tff(17115,plain,
% 8.67/6.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B))))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17116,plain,
% 8.67/6.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B))))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17117,plain,
% 8.67/6.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17116, 17115])).
% 8.67/6.25 tff(17118,plain,
% 8.67/6.25 (![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17117, 5496, 9802])).
% 8.67/6.25 tff(17119,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17120,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17121,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex2)) | (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 8.67/6.25 tff(17122,plain,
% 8.67/6.25 (v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17121, 648, 17118])).
% 8.67/6.25 tff(17123,plain,
% 8.67/6.25 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB89) | ![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB89) | ![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B))))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17124,plain,
% 8.67/6.25 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB89) | ![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B))))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17125,plain,
% 8.67/6.25 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB89) | ![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17124, 17123])).
% 8.67/6.25 tff(17126,plain,
% 8.67/6.25 (![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17125, 9823, 17087])).
% 8.67/6.25 tff(17127,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17128,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17129,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex2)) | (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 8.67/6.25 tff(17130,plain,
% 8.67/6.25 (v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17129, 648, 17126])).
% 8.67/6.25 tff(17131,plain,
% 8.67/6.25 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B))))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17132,plain,
% 8.67/6.25 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B))))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17133,plain,
% 8.67/6.25 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17132, 17131])).
% 8.67/6.25 tff(17134,plain,
% 8.67/6.25 ((~v121(constB89)) | ![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17133, 10207])).
% 8.67/6.25 tff(17135,plain,
% 8.67/6.25 (![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17134, 17058])).
% 8.67/6.25 tff(17136,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17137,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17138,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB89, bitIndex2) <=> b011(bitIndex2))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17137, 17136])).
% 8.67/6.25 tff(17139,plain,
% 8.67/6.25 (v130(constB89, bitIndex2) <=> b011(bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17138, 648, 17135])).
% 8.67/6.25 tff(17140,plain,
% 8.67/6.25 ((~(v130(constB89, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB89, bitIndex2)) | b011(bitIndex2)),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17141,plain,
% 8.67/6.25 ((~(v130(constB89, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB89, bitIndex2))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17140, 10219])).
% 8.67/6.25 tff(17142,plain,
% 8.67/6.25 (~v130(constB89, bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17141, 17139])).
% 8.67/6.25 tff(17143,plain,
% 8.67/6.25 ((~(v127(constB89, bitIndex2) <=> v130(constB89, bitIndex2))) | (~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17144,plain,
% 8.67/6.25 (~v127(constB89, bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17143, 17142, 17130])).
% 8.67/6.25 tff(17145,plain,
% 8.67/6.25 ((~(v129(constB90, bitIndex2) <=> v127(constB89, bitIndex2))) | (~v129(constB90, bitIndex2)) | v127(constB89, bitIndex2)),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17146,plain,
% 8.67/6.25 (~v129(constB90, bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17145, 17144, 17122])).
% 8.67/6.25 tff(17147,plain,
% 8.67/6.25 ((~(v90(constB90, bitIndex2) <=> v129(constB90, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2)),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17148,plain,
% 8.67/6.25 (~v90(constB90, bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17147, 17146, 17114])).
% 8.67/6.25 tff(17149,plain,
% 8.67/6.25 ((~(v90(constB91, bitIndex2) <=> v90(constB90, bitIndex2))) | (~v90(constB91, bitIndex2)) | v90(constB90, bitIndex2)),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17150,plain,
% 8.67/6.25 (~v90(constB91, bitIndex2)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17149, 17148, 5493])).
% 8.67/6.25 tff(17151,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17152,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17153,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17152, 17151])).
% 8.67/6.25 tff(17154,plain,
% 8.67/6.25 (v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17153, 9653, 5489])).
% 8.67/6.25 tff(17155,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17156,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17157,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex0)) | (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 8.67/6.25 tff(17158,plain,
% 8.67/6.25 (v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17157, 9653, 17110])).
% 8.67/6.25 tff(17159,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17160,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17161,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex0)) | (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 8.67/6.25 tff(17162,plain,
% 8.67/6.25 (v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17161, 9653, 17118])).
% 8.67/6.25 tff(17163,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17164,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17165,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex0)) | (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17164, 17163])).
% 8.67/6.25 tff(17166,plain,
% 8.67/6.25 (v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17165, 9653, 17126])).
% 8.67/6.25 tff(17167,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17168,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17169,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB89, bitIndex0) <=> b011(bitIndex0))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17168, 17167])).
% 8.67/6.25 tff(17170,plain,
% 8.67/6.25 (v130(constB89, bitIndex0) <=> b011(bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17169, 9653, 17135])).
% 8.67/6.25 tff(17171,plain,
% 8.67/6.25 ((~(v130(constB89, bitIndex0) <=> b011(bitIndex0))) | v130(constB89, bitIndex0) | (~b011(bitIndex0))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17172,plain,
% 8.67/6.25 ((~(v130(constB89, bitIndex0) <=> b011(bitIndex0))) | v130(constB89, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17171, 10253])).
% 8.67/6.25 tff(17173,plain,
% 8.67/6.25 (v130(constB89, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17172, 17170])).
% 8.67/6.25 tff(17174,plain,
% 8.67/6.25 ((~(v127(constB89, bitIndex0) <=> v130(constB89, bitIndex0))) | v127(constB89, bitIndex0) | (~v130(constB89, bitIndex0))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17175,plain,
% 8.67/6.25 (v127(constB89, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17174, 17173, 17166])).
% 8.67/6.25 tff(17176,plain,
% 8.67/6.25 ((~(v129(constB90, bitIndex0) <=> v127(constB89, bitIndex0))) | v129(constB90, bitIndex0) | (~v127(constB89, bitIndex0))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17177,plain,
% 8.67/6.25 (v129(constB90, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17176, 17175, 17162])).
% 8.67/6.25 tff(17178,plain,
% 8.67/6.25 ((~(v90(constB90, bitIndex0) <=> v129(constB90, bitIndex0))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17179,plain,
% 8.67/6.25 (v90(constB90, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17178, 17177, 17158])).
% 8.67/6.25 tff(17180,plain,
% 8.67/6.25 ((~(v90(constB91, bitIndex0) <=> v90(constB90, bitIndex0))) | v90(constB91, bitIndex0) | (~v90(constB90, bitIndex0))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17181,plain,
% 8.67/6.25 (v90(constB91, bitIndex0)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17180, 17179, 17154])).
% 8.67/6.25 tff(17182,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17183,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17184,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB91, B) <=> v90(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 8.67/6.25 tff(17185,plain,
% 8.67/6.25 (v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17184, 375, 5489])).
% 8.67/6.25 tff(17186,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17187,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | ((~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17188,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v90(constB90, B) <=> v129(constB90, B)))) | (~less_3(bitIndex1)) | (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17187, 17186])).
% 8.67/6.25 tff(17189,plain,
% 8.67/6.25 (v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17188, 375, 17110])).
% 8.67/6.25 tff(17190,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17191,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | ((~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17192,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v129(constB90, B) <=> v127(constB89, B)))) | (~less_3(bitIndex1)) | (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 8.67/6.25 tff(17193,plain,
% 8.67/6.25 (v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17192, 375, 17118])).
% 8.67/6.25 tff(17194,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17195,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | ((~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17196,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v127(constB89, B) <=> v130(constB89, B)))) | (~less_3(bitIndex1)) | (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17195, 17194])).
% 8.67/6.25 tff(17197,plain,
% 8.67/6.25 (v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17196, 375, 17126])).
% 8.67/6.25 tff(17198,plain,
% 8.67/6.25 (((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1)))),
% 8.67/6.25 inference(rewrite,[status(thm)],[])).
% 8.67/6.25 tff(17199,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1)))),
% 8.67/6.25 inference(quant_inst,[status(thm)],[])).
% 8.67/6.25 tff(17200,plain,
% 8.67/6.25 ((~![B: $i] : ((~less_3(B)) | (v130(constB89, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB89, bitIndex1) <=> b011(bitIndex1))),
% 8.67/6.25 inference(modus_ponens,[status(thm)],[17199, 17198])).
% 8.67/6.25 tff(17201,plain,
% 8.67/6.25 (v130(constB89, bitIndex1) <=> b011(bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17200, 375, 17135])).
% 8.67/6.25 tff(17202,plain,
% 8.67/6.25 ((~(v130(constB89, bitIndex1) <=> b011(bitIndex1))) | v130(constB89, bitIndex1) | (~b011(bitIndex1))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17203,plain,
% 8.67/6.25 ((~(v130(constB89, bitIndex1) <=> b011(bitIndex1))) | v130(constB89, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17202, 10287])).
% 8.67/6.25 tff(17204,plain,
% 8.67/6.25 (v130(constB89, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17203, 17201])).
% 8.67/6.25 tff(17205,plain,
% 8.67/6.25 ((~(v127(constB89, bitIndex1) <=> v130(constB89, bitIndex1))) | v127(constB89, bitIndex1) | (~v130(constB89, bitIndex1))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17206,plain,
% 8.67/6.25 (v127(constB89, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17205, 17204, 17197])).
% 8.67/6.25 tff(17207,plain,
% 8.67/6.25 ((~(v129(constB90, bitIndex1) <=> v127(constB89, bitIndex1))) | v129(constB90, bitIndex1) | (~v127(constB89, bitIndex1))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17208,plain,
% 8.67/6.25 (v129(constB90, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17207, 17206, 17193])).
% 8.67/6.25 tff(17209,plain,
% 8.67/6.25 ((~(v90(constB90, bitIndex1) <=> v129(constB90, bitIndex1))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17210,plain,
% 8.67/6.25 (v90(constB90, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17209, 17208, 17189])).
% 8.67/6.25 tff(17211,plain,
% 8.67/6.25 ((~(v90(constB91, bitIndex1) <=> v90(constB90, bitIndex1))) | v90(constB91, bitIndex1) | (~v90(constB90, bitIndex1))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17212,plain,
% 8.67/6.25 (v90(constB91, bitIndex1)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17211, 17210, 17185])).
% 8.67/6.25 tff(17213,plain,
% 8.67/6.25 ((~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))) | v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17214,plain,
% 8.67/6.25 (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17213, 17212, 17181, 17150])).
% 8.67/6.25 tff(17215,plain,
% 8.67/6.25 ((~(v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))) | v122(constB91) | (v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17216,plain,
% 8.67/6.25 (v122(constB91)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17215, 17214, 5461])).
% 8.67/6.25 tff(17217,plain,
% 8.67/6.25 ((v117(constB91) | v122(constB91)) | (~v122(constB91))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17218,plain,
% 8.67/6.25 (v117(constB91) | v122(constB91)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17217, 17216])).
% 8.67/6.25 tff(17219,plain,
% 8.67/6.25 ((~(v116(constB91) <=> (v117(constB91) | v122(constB91)))) | v116(constB91) | (~(v117(constB91) | v122(constB91)))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17220,plain,
% 8.67/6.25 (v116(constB91)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17219, 17218, 5454])).
% 8.67/6.25 tff(17221,plain,
% 8.67/6.25 ((v116(constB91) | v123(constB91)) | (~v116(constB91))),
% 8.67/6.25 inference(tautology,[status(thm)],[])).
% 8.67/6.25 tff(17222,plain,
% 8.67/6.25 (v116(constB91) | v123(constB91)),
% 8.67/6.25 inference(unit_resolution,[status(thm)],[17221, 17220])).
% 8.67/6.25 tff(17223,plain,
% 8.67/6.25 ((~(v115(constB91) <=> (v116(constB91) | v123(constB91)))) | v115(constB91) | (~(v116(constB91) | v123(constB91)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17224,plain,
% 8.67/6.26 (v115(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17223, 17222, 5452])).
% 8.67/6.26 tff(17225,plain,
% 8.67/6.26 ((v115(constB91) | v124(constB91)) | (~v115(constB91))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17226,plain,
% 8.67/6.26 (v115(constB91) | v124(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17225, 17224])).
% 8.67/6.26 tff(17227,plain,
% 8.67/6.26 ((~(v114(constB91) <=> (v115(constB91) | v124(constB91)))) | v114(constB91) | (~(v115(constB91) | v124(constB91)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17228,plain,
% 8.67/6.26 (v114(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17227, 17226, 5450])).
% 8.67/6.26 tff(17229,plain,
% 8.67/6.26 ((v114(constB91) | v125(constB91)) | (~v114(constB91))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17230,plain,
% 8.67/6.26 (v114(constB91) | v125(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17229, 17228])).
% 8.67/6.26 tff(17231,plain,
% 8.67/6.26 ((~(v113(constB91) <=> (v114(constB91) | v125(constB91)))) | v113(constB91) | (~(v114(constB91) | v125(constB91)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17232,plain,
% 8.67/6.26 (v113(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17231, 17230, 5448])).
% 8.67/6.26 tff(17233,plain,
% 8.67/6.26 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB91)) <=> v111(constB91))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17234,plain,
% 8.67/6.26 ((~v126(constB91)) <=> v111(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17233, 9720])).
% 8.67/6.26 tff(17235,plain,
% 8.67/6.26 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB91) <=> v26(constB91))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17236,plain,
% 8.67/6.26 (v111(constB91) <=> v26(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17235, 9732])).
% 8.67/6.26 tff(17237,plain,
% 8.67/6.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17238,plain,
% 8.67/6.26 (~v26(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17237, 9744])).
% 8.67/6.26 tff(17239,plain,
% 8.67/6.26 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91)) | v26(constB91)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17240,plain,
% 8.67/6.26 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17239, 17238])).
% 8.67/6.26 tff(17241,plain,
% 8.67/6.26 (~v111(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17240, 17236])).
% 8.67/6.26 tff(17242,plain,
% 8.67/6.26 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91) | v111(constB91)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17243,plain,
% 8.67/6.26 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17242, 17241])).
% 8.67/6.26 tff(17244,plain,
% 8.67/6.26 (v126(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17243, 17234])).
% 8.67/6.26 tff(17245,plain,
% 8.67/6.26 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91)) | (~v126(constB91))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17246,plain,
% 8.67/6.26 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17245, 17244])).
% 8.67/6.26 tff(17247,plain,
% 8.67/6.26 (~((~v113(constB91)) | (~v126(constB91)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17246, 17232])).
% 8.67/6.26 tff(17248,plain,
% 8.67/6.26 ((~(v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))) | v112(constB91) | ((~v113(constB91)) | (~v126(constB91)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17249,plain,
% 8.67/6.26 (v112(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17248, 17247, 5446])).
% 8.67/6.26 tff(17250,plain,
% 8.67/6.26 ((v111(constB91) | v112(constB91)) | (~v112(constB91))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17251,plain,
% 8.67/6.26 (v111(constB91) | v112(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17250, 17249])).
% 8.67/6.26 tff(17252,plain,
% 8.67/6.26 ((~(v108(constB91) <=> (v111(constB91) | v112(constB91)))) | v108(constB91) | (~(v111(constB91) | v112(constB91)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17253,plain,
% 8.67/6.26 (v108(constB91)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17252, 17251, 5444])).
% 8.67/6.26 tff(17254,plain,
% 8.67/6.26 ((~(v110(constB92) <=> v108(constB91))) | v110(constB92) | (~v108(constB91))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17255,plain,
% 8.67/6.26 (v110(constB92)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17254, 17253, 5442])).
% 8.67/6.26 tff(17256,plain,
% 8.67/6.26 ((~((~v101(constB92)) | (~v110(constB92)))) | (~v101(constB92)) | (~v110(constB92))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17257,plain,
% 8.67/6.26 (~((~v101(constB92)) | (~v110(constB92)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17256, 17255, 5438])).
% 8.67/6.26 tff(17258,plain,
% 8.67/6.26 ((~(v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))) | v100(constB92) | ((~v101(constB92)) | (~v110(constB92)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17259,plain,
% 8.67/6.26 (v100(constB92)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17258, 17257, 5407])).
% 8.67/6.26 tff(17260,plain,
% 8.67/6.26 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B))))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17261,plain,
% 8.67/6.26 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B))))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17262,plain,
% 8.67/6.26 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 8.67/6.26 tff(17263,plain,
% 8.67/6.26 ((~v100(constB92)) | ![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17262, 9780])).
% 8.67/6.26 tff(17264,plain,
% 8.67/6.26 (![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17263, 17259])).
% 8.67/6.26 tff(17265,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17266,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17267,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex2)) | (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17266, 17265])).
% 8.67/6.26 tff(17268,plain,
% 8.67/6.26 (v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17267, 648, 17264])).
% 8.67/6.26 tff(17269,plain,
% 8.67/6.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B))))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17270,plain,
% 8.67/6.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B))))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17271,plain,
% 8.67/6.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17270, 17269])).
% 8.67/6.26 tff(17272,plain,
% 8.67/6.26 (![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17271, 5403, 9802])).
% 8.67/6.26 tff(17273,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17274,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17275,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex2)) | (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 8.67/6.26 tff(17276,plain,
% 8.67/6.26 (v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17275, 648, 17272])).
% 8.67/6.26 tff(17277,plain,
% 8.67/6.26 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB91) | ![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB91) | ![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B))))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17278,plain,
% 8.67/6.26 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB91) | ![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B))))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17279,plain,
% 8.67/6.26 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB91) | ![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17278, 17277])).
% 8.67/6.26 tff(17280,plain,
% 8.67/6.26 (![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17279, 9823, 17241])).
% 8.67/6.26 tff(17281,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17282,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17283,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex2)) | (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17282, 17281])).
% 8.67/6.26 tff(17284,plain,
% 8.67/6.26 (v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17283, 648, 17280])).
% 8.67/6.26 tff(17285,plain,
% 8.67/6.26 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B))))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17286,plain,
% 8.67/6.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B))))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17287,plain,
% 8.67/6.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17286, 17285])).
% 8.67/6.26 tff(17288,plain,
% 8.67/6.26 ((~v122(constB91)) | ![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17287, 10383])).
% 8.67/6.26 tff(17289,plain,
% 8.67/6.26 (![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17288, 17216])).
% 8.67/6.26 tff(17290,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17291,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17292,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB91, bitIndex2) <=> b100(bitIndex2))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17291, 17290])).
% 8.67/6.26 tff(17293,plain,
% 8.67/6.26 (v130(constB91, bitIndex2) <=> b100(bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17292, 648, 17289])).
% 8.67/6.26 tff(17294,plain,
% 8.67/6.26 ((~(v130(constB91, bitIndex2) <=> b100(bitIndex2))) | v130(constB91, bitIndex2) | (~b100(bitIndex2))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17295,plain,
% 8.67/6.26 ((~(v130(constB91, bitIndex2) <=> b100(bitIndex2))) | v130(constB91, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17294, 10395])).
% 8.67/6.26 tff(17296,plain,
% 8.67/6.26 (v130(constB91, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17295, 17293])).
% 8.67/6.26 tff(17297,plain,
% 8.67/6.26 ((~(v127(constB91, bitIndex2) <=> v130(constB91, bitIndex2))) | v127(constB91, bitIndex2) | (~v130(constB91, bitIndex2))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17298,plain,
% 8.67/6.26 (v127(constB91, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17297, 17296, 17284])).
% 8.67/6.26 tff(17299,plain,
% 8.67/6.26 ((~(v129(constB92, bitIndex2) <=> v127(constB91, bitIndex2))) | v129(constB92, bitIndex2) | (~v127(constB91, bitIndex2))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17300,plain,
% 8.67/6.26 (v129(constB92, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17299, 17298, 17276])).
% 8.67/6.26 tff(17301,plain,
% 8.67/6.26 ((~(v90(constB92, bitIndex2) <=> v129(constB92, bitIndex2))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17302,plain,
% 8.67/6.26 (v90(constB92, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17301, 17300, 17268])).
% 8.67/6.26 tff(17303,plain,
% 8.67/6.26 ((~(v90(constB93, bitIndex2) <=> v90(constB92, bitIndex2))) | v90(constB93, bitIndex2) | (~v90(constB92, bitIndex2))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17304,plain,
% 8.67/6.26 (v90(constB93, bitIndex2)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17303, 17302, 5400])).
% 8.67/6.26 tff(17305,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17306,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17307,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17306, 17305])).
% 8.67/6.26 tff(17308,plain,
% 8.67/6.26 (v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17307, 9653, 5396])).
% 8.67/6.26 tff(17309,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17310,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17311,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex0)) | (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17310, 17309])).
% 8.67/6.26 tff(17312,plain,
% 8.67/6.26 (v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17311, 9653, 17264])).
% 8.67/6.26 tff(17313,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17314,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17315,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex0)) | (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17314, 17313])).
% 8.67/6.26 tff(17316,plain,
% 8.67/6.26 (v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17315, 9653, 17272])).
% 8.67/6.26 tff(17317,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17318,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17319,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex0)) | (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17318, 17317])).
% 8.67/6.26 tff(17320,plain,
% 8.67/6.26 (v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17319, 9653, 17280])).
% 8.67/6.26 tff(17321,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17322,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17323,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB91, bitIndex0) <=> b100(bitIndex0))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17322, 17321])).
% 8.67/6.26 tff(17324,plain,
% 8.67/6.26 (v130(constB91, bitIndex0) <=> b100(bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17323, 9653, 17289])).
% 8.67/6.26 tff(17325,plain,
% 8.67/6.26 ((~(v130(constB91, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB91, bitIndex0)) | b100(bitIndex0)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17326,plain,
% 8.67/6.26 ((~(v130(constB91, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB91, bitIndex0))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17325, 10429])).
% 8.67/6.26 tff(17327,plain,
% 8.67/6.26 (~v130(constB91, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17326, 17324])).
% 8.67/6.26 tff(17328,plain,
% 8.67/6.26 ((~(v127(constB91, bitIndex0) <=> v130(constB91, bitIndex0))) | (~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17329,plain,
% 8.67/6.26 (~v127(constB91, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17328, 17327, 17320])).
% 8.67/6.26 tff(17330,plain,
% 8.67/6.26 ((~(v129(constB92, bitIndex0) <=> v127(constB91, bitIndex0))) | (~v129(constB92, bitIndex0)) | v127(constB91, bitIndex0)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17331,plain,
% 8.67/6.26 (~v129(constB92, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17330, 17329, 17316])).
% 8.67/6.26 tff(17332,plain,
% 8.67/6.26 ((~(v90(constB92, bitIndex0) <=> v129(constB92, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17333,plain,
% 8.67/6.26 (~v90(constB92, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17332, 17331, 17312])).
% 8.67/6.26 tff(17334,plain,
% 8.67/6.26 ((~(v90(constB93, bitIndex0) <=> v90(constB92, bitIndex0))) | (~v90(constB93, bitIndex0)) | v90(constB92, bitIndex0)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17335,plain,
% 8.67/6.26 (~v90(constB93, bitIndex0)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17334, 17333, 17308])).
% 8.67/6.26 tff(17336,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17337,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17338,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB93, B) <=> v90(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 8.67/6.26 tff(17339,plain,
% 8.67/6.26 (v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17338, 375, 5396])).
% 8.67/6.26 tff(17340,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17341,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | ((~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17342,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB92, B) <=> v129(constB92, B)))) | (~less_3(bitIndex1)) | (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17341, 17340])).
% 8.67/6.26 tff(17343,plain,
% 8.67/6.26 (v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17342, 375, 17264])).
% 8.67/6.26 tff(17344,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17345,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | ((~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17346,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v129(constB92, B) <=> v127(constB91, B)))) | (~less_3(bitIndex1)) | (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 8.67/6.26 tff(17347,plain,
% 8.67/6.26 (v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17346, 375, 17272])).
% 8.67/6.26 tff(17348,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17349,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | ((~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17350,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v127(constB91, B) <=> v130(constB91, B)))) | (~less_3(bitIndex1)) | (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17349, 17348])).
% 8.67/6.26 tff(17351,plain,
% 8.67/6.26 (v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17350, 375, 17280])).
% 8.67/6.26 tff(17352,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17353,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17354,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v130(constB91, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB91, bitIndex1) <=> b100(bitIndex1))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17353, 17352])).
% 8.67/6.26 tff(17355,plain,
% 8.67/6.26 (v130(constB91, bitIndex1) <=> b100(bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17354, 375, 17289])).
% 8.67/6.26 tff(17356,plain,
% 8.67/6.26 ((~(v130(constB91, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB91, bitIndex1)) | b100(bitIndex1)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17357,plain,
% 8.67/6.26 ((~(v130(constB91, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB91, bitIndex1))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17356, 10463])).
% 8.67/6.26 tff(17358,plain,
% 8.67/6.26 (~v130(constB91, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17357, 17355])).
% 8.67/6.26 tff(17359,plain,
% 8.67/6.26 ((~(v127(constB91, bitIndex1) <=> v130(constB91, bitIndex1))) | (~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17360,plain,
% 8.67/6.26 (~v127(constB91, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17359, 17358, 17351])).
% 8.67/6.26 tff(17361,plain,
% 8.67/6.26 ((~(v129(constB92, bitIndex1) <=> v127(constB91, bitIndex1))) | (~v129(constB92, bitIndex1)) | v127(constB91, bitIndex1)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17362,plain,
% 8.67/6.26 (~v129(constB92, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17361, 17360, 17347])).
% 8.67/6.26 tff(17363,plain,
% 8.67/6.26 ((~(v90(constB92, bitIndex1) <=> v129(constB92, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17364,plain,
% 8.67/6.26 (~v90(constB92, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17363, 17362, 17343])).
% 8.67/6.26 tff(17365,plain,
% 8.67/6.26 ((~(v90(constB93, bitIndex1) <=> v90(constB92, bitIndex1))) | (~v90(constB93, bitIndex1)) | v90(constB92, bitIndex1)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17366,plain,
% 8.67/6.26 (~v90(constB93, bitIndex1)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17365, 17364, 17339])).
% 8.67/6.26 tff(17367,plain,
% 8.67/6.26 ((~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))) | (~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17368,plain,
% 8.67/6.26 (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17367, 17366, 17335, 17304])).
% 8.67/6.26 tff(17369,plain,
% 8.67/6.26 ((~(v123(constB93) <=> (~((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))))) | v123(constB93) | ((~v90(constB93, bitIndex2)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17370,plain,
% 8.67/6.26 (v123(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17369, 17368, 5368])).
% 8.67/6.26 tff(17371,plain,
% 8.67/6.26 ((v116(constB93) | v123(constB93)) | (~v123(constB93))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17372,plain,
% 8.67/6.26 (v116(constB93) | v123(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17371, 17370])).
% 8.67/6.26 tff(17373,plain,
% 8.67/6.26 ((~(v115(constB93) <=> (v116(constB93) | v123(constB93)))) | v115(constB93) | (~(v116(constB93) | v123(constB93)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17374,plain,
% 8.67/6.26 (v115(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17373, 17372, 5361])).
% 8.67/6.26 tff(17375,plain,
% 8.67/6.26 ((v115(constB93) | v124(constB93)) | (~v115(constB93))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17376,plain,
% 8.67/6.26 (v115(constB93) | v124(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17375, 17374])).
% 8.67/6.26 tff(17377,plain,
% 8.67/6.26 ((~(v114(constB93) <=> (v115(constB93) | v124(constB93)))) | v114(constB93) | (~(v115(constB93) | v124(constB93)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17378,plain,
% 8.67/6.26 (v114(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17377, 17376, 5359])).
% 8.67/6.26 tff(17379,plain,
% 8.67/6.26 ((v114(constB93) | v125(constB93)) | (~v114(constB93))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17380,plain,
% 8.67/6.26 (v114(constB93) | v125(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17379, 17378])).
% 8.67/6.26 tff(17381,plain,
% 8.67/6.26 ((~(v113(constB93) <=> (v114(constB93) | v125(constB93)))) | v113(constB93) | (~(v114(constB93) | v125(constB93)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17382,plain,
% 8.67/6.26 (v113(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17381, 17380, 5357])).
% 8.67/6.26 tff(17383,plain,
% 8.67/6.26 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB93)) <=> v111(constB93))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17384,plain,
% 8.67/6.26 ((~v126(constB93)) <=> v111(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17383, 9720])).
% 8.67/6.26 tff(17385,plain,
% 8.67/6.26 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB93) <=> v26(constB93))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17386,plain,
% 8.67/6.26 (v111(constB93) <=> v26(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17385, 9732])).
% 8.67/6.26 tff(17387,plain,
% 8.67/6.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17388,plain,
% 8.67/6.26 (~v26(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17387, 9744])).
% 8.67/6.26 tff(17389,plain,
% 8.67/6.26 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93)) | v26(constB93)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17390,plain,
% 8.67/6.26 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17389, 17388])).
% 8.67/6.26 tff(17391,plain,
% 8.67/6.26 (~v111(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17390, 17386])).
% 8.67/6.26 tff(17392,plain,
% 8.67/6.26 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93) | v111(constB93)),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17393,plain,
% 8.67/6.26 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17392, 17391])).
% 8.67/6.26 tff(17394,plain,
% 8.67/6.26 (v126(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17393, 17384])).
% 8.67/6.26 tff(17395,plain,
% 8.67/6.26 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93)) | (~v126(constB93))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17396,plain,
% 8.67/6.26 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17395, 17394])).
% 8.67/6.26 tff(17397,plain,
% 8.67/6.26 (~((~v113(constB93)) | (~v126(constB93)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17396, 17382])).
% 8.67/6.26 tff(17398,plain,
% 8.67/6.26 ((~(v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))) | v112(constB93) | ((~v113(constB93)) | (~v126(constB93)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17399,plain,
% 8.67/6.26 (v112(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17398, 17397, 5355])).
% 8.67/6.26 tff(17400,plain,
% 8.67/6.26 ((v111(constB93) | v112(constB93)) | (~v112(constB93))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17401,plain,
% 8.67/6.26 (v111(constB93) | v112(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17400, 17399])).
% 8.67/6.26 tff(17402,plain,
% 8.67/6.26 ((~(v108(constB93) <=> (v111(constB93) | v112(constB93)))) | v108(constB93) | (~(v111(constB93) | v112(constB93)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17403,plain,
% 8.67/6.26 (v108(constB93)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17402, 17401, 5353])).
% 8.67/6.26 tff(17404,plain,
% 8.67/6.26 ((~(v110(constB94) <=> v108(constB93))) | v110(constB94) | (~v108(constB93))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17405,plain,
% 8.67/6.26 (v110(constB94)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17404, 17403, 5351])).
% 8.67/6.26 tff(17406,plain,
% 8.67/6.26 ((~((~v101(constB94)) | (~v110(constB94)))) | (~v101(constB94)) | (~v110(constB94))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17407,plain,
% 8.67/6.26 (~((~v101(constB94)) | (~v110(constB94)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17406, 17405, 5347])).
% 8.67/6.26 tff(17408,plain,
% 8.67/6.26 ((~(v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))) | v100(constB94) | ((~v101(constB94)) | (~v110(constB94)))),
% 8.67/6.26 inference(tautology,[status(thm)],[])).
% 8.67/6.26 tff(17409,plain,
% 8.67/6.26 (v100(constB94)),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17408, 17407, 5316])).
% 8.67/6.26 tff(17410,plain,
% 8.67/6.26 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B))))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17411,plain,
% 8.67/6.26 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B))))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17412,plain,
% 8.67/6.26 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))),
% 8.67/6.26 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 8.67/6.26 tff(17413,plain,
% 8.67/6.26 ((~v100(constB94)) | ![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17412, 9780])).
% 8.67/6.26 tff(17414,plain,
% 8.67/6.26 (![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))),
% 8.67/6.26 inference(unit_resolution,[status(thm)],[17413, 17409])).
% 8.67/6.26 tff(17415,plain,
% 8.67/6.26 (((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)))),
% 8.67/6.26 inference(rewrite,[status(thm)],[])).
% 8.67/6.26 tff(17416,plain,
% 8.67/6.26 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)))),
% 8.67/6.26 inference(quant_inst,[status(thm)],[])).
% 8.67/6.26 tff(17417,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex2)) | (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17416, 17415])).
% 8.67/6.27 tff(17418,plain,
% 8.67/6.27 (v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17417, 648, 17414])).
% 8.67/6.27 tff(17419,plain,
% 8.67/6.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B))))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17420,plain,
% 8.67/6.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B))))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17421,plain,
% 8.67/6.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17420, 17419])).
% 8.67/6.27 tff(17422,plain,
% 8.67/6.27 (![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17421, 5312, 9802])).
% 8.67/6.27 tff(17423,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17424,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17425,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex2)) | (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 8.67/6.27 tff(17426,plain,
% 8.67/6.27 (v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17425, 648, 17422])).
% 8.67/6.27 tff(17427,plain,
% 8.67/6.27 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB93) | ![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB93) | ![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B))))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17428,plain,
% 8.67/6.27 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB93) | ![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B))))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17429,plain,
% 8.67/6.27 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB93) | ![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17428, 17427])).
% 8.67/6.27 tff(17430,plain,
% 8.67/6.27 (![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17429, 9823, 17391])).
% 8.67/6.27 tff(17431,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17432,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17433,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex2)) | (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 8.67/6.27 tff(17434,plain,
% 8.67/6.27 (v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17433, 648, 17430])).
% 8.67/6.27 tff(17435,plain,
% 8.67/6.27 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B))))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17436,plain,
% 8.67/6.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B))))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17437,plain,
% 8.67/6.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17436, 17435])).
% 8.67/6.27 tff(17438,plain,
% 8.67/6.27 ((~v123(constB93)) | ![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17437, 10555])).
% 8.67/6.27 tff(17439,plain,
% 8.67/6.27 (![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17438, 17370])).
% 8.67/6.27 tff(17440,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b101(bitIndex2)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17441,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b101(bitIndex2)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17442,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB93, bitIndex2) <=> b101(bitIndex2))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17441, 17440])).
% 8.67/6.27 tff(17443,plain,
% 8.67/6.27 (v130(constB93, bitIndex2) <=> b101(bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17442, 648, 17439])).
% 8.67/6.27 tff(17444,plain,
% 8.67/6.27 ((~(v130(constB93, bitIndex2) <=> b101(bitIndex2))) | v130(constB93, bitIndex2) | (~b101(bitIndex2))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17445,plain,
% 8.67/6.27 ((~(v130(constB93, bitIndex2) <=> b101(bitIndex2))) | v130(constB93, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17444, 10567])).
% 8.67/6.27 tff(17446,plain,
% 8.67/6.27 (v130(constB93, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17445, 17443])).
% 8.67/6.27 tff(17447,plain,
% 8.67/6.27 ((~(v127(constB93, bitIndex2) <=> v130(constB93, bitIndex2))) | v127(constB93, bitIndex2) | (~v130(constB93, bitIndex2))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17448,plain,
% 8.67/6.27 (v127(constB93, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17447, 17446, 17434])).
% 8.67/6.27 tff(17449,plain,
% 8.67/6.27 ((~(v129(constB94, bitIndex2) <=> v127(constB93, bitIndex2))) | v129(constB94, bitIndex2) | (~v127(constB93, bitIndex2))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17450,plain,
% 8.67/6.27 (v129(constB94, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17449, 17448, 17426])).
% 8.67/6.27 tff(17451,plain,
% 8.67/6.27 ((~(v90(constB94, bitIndex2) <=> v129(constB94, bitIndex2))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17452,plain,
% 8.67/6.27 (v90(constB94, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17451, 17450, 17418])).
% 8.67/6.27 tff(17453,plain,
% 8.67/6.27 ((~(v90(constB95, bitIndex2) <=> v90(constB94, bitIndex2))) | v90(constB95, bitIndex2) | (~v90(constB94, bitIndex2))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17454,plain,
% 8.67/6.27 (v90(constB95, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17453, 17452, 5309])).
% 8.67/6.27 tff(17455,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17456,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17457,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17456, 17455])).
% 8.67/6.27 tff(17458,plain,
% 8.67/6.27 (v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17457, 9653, 5305])).
% 8.67/6.27 tff(17459,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17460,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17461,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex0)) | (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17460, 17459])).
% 8.67/6.27 tff(17462,plain,
% 8.67/6.27 (v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17461, 9653, 17414])).
% 8.67/6.27 tff(17463,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17464,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17465,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex0)) | (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17464, 17463])).
% 8.67/6.27 tff(17466,plain,
% 8.67/6.27 (v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17465, 9653, 17422])).
% 8.67/6.27 tff(17467,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17468,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17469,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex0)) | (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17468, 17467])).
% 8.67/6.27 tff(17470,plain,
% 8.67/6.27 (v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17469, 9653, 17430])).
% 8.67/6.27 tff(17471,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b101(bitIndex0)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17472,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b101(bitIndex0)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17473,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB93, bitIndex0) <=> b101(bitIndex0))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17472, 17471])).
% 8.67/6.27 tff(17474,plain,
% 8.67/6.27 (v130(constB93, bitIndex0) <=> b101(bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17473, 9653, 17439])).
% 8.67/6.27 tff(17475,plain,
% 8.67/6.27 ((~(v130(constB93, bitIndex0) <=> b101(bitIndex0))) | v130(constB93, bitIndex0) | (~b101(bitIndex0))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17476,plain,
% 8.67/6.27 ((~(v130(constB93, bitIndex0) <=> b101(bitIndex0))) | v130(constB93, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17475, 10601])).
% 8.67/6.27 tff(17477,plain,
% 8.67/6.27 (v130(constB93, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17476, 17474])).
% 8.67/6.27 tff(17478,plain,
% 8.67/6.27 ((~(v127(constB93, bitIndex0) <=> v130(constB93, bitIndex0))) | v127(constB93, bitIndex0) | (~v130(constB93, bitIndex0))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17479,plain,
% 8.67/6.27 (v127(constB93, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17478, 17477, 17470])).
% 8.67/6.27 tff(17480,plain,
% 8.67/6.27 ((~(v129(constB94, bitIndex0) <=> v127(constB93, bitIndex0))) | v129(constB94, bitIndex0) | (~v127(constB93, bitIndex0))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17481,plain,
% 8.67/6.27 (v129(constB94, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17480, 17479, 17466])).
% 8.67/6.27 tff(17482,plain,
% 8.67/6.27 ((~(v90(constB94, bitIndex0) <=> v129(constB94, bitIndex0))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17483,plain,
% 8.67/6.27 (v90(constB94, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17482, 17481, 17462])).
% 8.67/6.27 tff(17484,plain,
% 8.67/6.27 ((~(v90(constB95, bitIndex0) <=> v90(constB94, bitIndex0))) | v90(constB95, bitIndex0) | (~v90(constB94, bitIndex0))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17485,plain,
% 8.67/6.27 (v90(constB95, bitIndex0)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17484, 17483, 17458])).
% 8.67/6.27 tff(17486,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17487,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17488,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB95, B) <=> v90(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17487, 17486])).
% 8.67/6.27 tff(17489,plain,
% 8.67/6.27 (v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17488, 375, 5305])).
% 8.67/6.27 tff(17490,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17491,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | ((~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17492,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB94, B) <=> v129(constB94, B)))) | (~less_3(bitIndex1)) | (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17491, 17490])).
% 8.67/6.27 tff(17493,plain,
% 8.67/6.27 (v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17492, 375, 17414])).
% 8.67/6.27 tff(17494,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17495,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | ((~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17496,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB94, B) <=> v127(constB93, B)))) | (~less_3(bitIndex1)) | (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 8.67/6.27 tff(17497,plain,
% 8.67/6.27 (v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17496, 375, 17422])).
% 8.67/6.27 tff(17498,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17499,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | ((~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17500,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v127(constB93, B) <=> v130(constB93, B)))) | (~less_3(bitIndex1)) | (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17499, 17498])).
% 8.67/6.27 tff(17501,plain,
% 8.67/6.27 (v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17500, 375, 17430])).
% 8.67/6.27 tff(17502,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b101(bitIndex1)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17503,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b101(bitIndex1)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17504,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v130(constB93, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB93, bitIndex1) <=> b101(bitIndex1))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17503, 17502])).
% 8.67/6.27 tff(17505,plain,
% 8.67/6.27 (v130(constB93, bitIndex1) <=> b101(bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17504, 375, 17439])).
% 8.67/6.27 tff(17506,plain,
% 8.67/6.27 ((~(v130(constB93, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB93, bitIndex1)) | b101(bitIndex1)),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17507,plain,
% 8.67/6.27 ((~(v130(constB93, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB93, bitIndex1))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17506, 10635])).
% 8.67/6.27 tff(17508,plain,
% 8.67/6.27 (~v130(constB93, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17507, 17505])).
% 8.67/6.27 tff(17509,plain,
% 8.67/6.27 ((~(v127(constB93, bitIndex1) <=> v130(constB93, bitIndex1))) | (~v127(constB93, bitIndex1)) | v130(constB93, bitIndex1)),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17510,plain,
% 8.67/6.27 (~v127(constB93, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17509, 17508, 17501])).
% 8.67/6.27 tff(17511,plain,
% 8.67/6.27 ((~(v129(constB94, bitIndex1) <=> v127(constB93, bitIndex1))) | (~v129(constB94, bitIndex1)) | v127(constB93, bitIndex1)),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17512,plain,
% 8.67/6.27 (~v129(constB94, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17511, 17510, 17497])).
% 8.67/6.27 tff(17513,plain,
% 8.67/6.27 ((~(v90(constB94, bitIndex1) <=> v129(constB94, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1)),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17514,plain,
% 8.67/6.27 (~v90(constB94, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17513, 17512, 17493])).
% 8.67/6.27 tff(17515,plain,
% 8.67/6.27 ((~(v90(constB95, bitIndex1) <=> v90(constB94, bitIndex1))) | (~v90(constB95, bitIndex1)) | v90(constB94, bitIndex1)),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17516,plain,
% 8.67/6.27 (~v90(constB95, bitIndex1)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17515, 17514, 17489])).
% 8.67/6.27 tff(17517,plain,
% 8.67/6.27 ((~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))) | (~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17518,plain,
% 8.67/6.27 (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17517, 17516, 17485, 17454])).
% 8.67/6.27 tff(17519,plain,
% 8.67/6.27 ((~(v124(constB95) <=> (~((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))))) | v124(constB95) | ((~v90(constB95, bitIndex2)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17520,plain,
% 8.67/6.27 (v124(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17519, 17518, 5277])).
% 8.67/6.27 tff(17521,plain,
% 8.67/6.27 ((v115(constB95) | v124(constB95)) | (~v124(constB95))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17522,plain,
% 8.67/6.27 (v115(constB95) | v124(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17521, 17520])).
% 8.67/6.27 tff(17523,plain,
% 8.67/6.27 ((~(v114(constB95) <=> (v115(constB95) | v124(constB95)))) | v114(constB95) | (~(v115(constB95) | v124(constB95)))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17524,plain,
% 8.67/6.27 (v114(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17523, 17522, 5270])).
% 8.67/6.27 tff(17525,plain,
% 8.67/6.27 ((v114(constB95) | v125(constB95)) | (~v114(constB95))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17526,plain,
% 8.67/6.27 (v114(constB95) | v125(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17525, 17524])).
% 8.67/6.27 tff(17527,plain,
% 8.67/6.27 ((~(v113(constB95) <=> (v114(constB95) | v125(constB95)))) | v113(constB95) | (~(v114(constB95) | v125(constB95)))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17528,plain,
% 8.67/6.27 (v113(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17527, 17526, 5268])).
% 8.67/6.27 tff(17529,plain,
% 8.67/6.27 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB95)) <=> v111(constB95))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17530,plain,
% 8.67/6.27 ((~v126(constB95)) <=> v111(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17529, 9720])).
% 8.67/6.27 tff(17531,plain,
% 8.67/6.27 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB95) <=> v26(constB95))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17532,plain,
% 8.67/6.27 (v111(constB95) <=> v26(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17531, 9732])).
% 8.67/6.27 tff(17533,plain,
% 8.67/6.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17534,plain,
% 8.67/6.27 (~v26(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17533, 9744])).
% 8.67/6.27 tff(17535,plain,
% 8.67/6.27 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95)) | v26(constB95)),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17536,plain,
% 8.67/6.27 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17535, 17534])).
% 8.67/6.27 tff(17537,plain,
% 8.67/6.27 (~v111(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17536, 17532])).
% 8.67/6.27 tff(17538,plain,
% 8.67/6.27 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95) | v111(constB95)),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17539,plain,
% 8.67/6.27 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17538, 17537])).
% 8.67/6.27 tff(17540,plain,
% 8.67/6.27 (v126(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17539, 17530])).
% 8.67/6.27 tff(17541,plain,
% 8.67/6.27 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95)) | (~v126(constB95))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17542,plain,
% 8.67/6.27 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17541, 17540])).
% 8.67/6.27 tff(17543,plain,
% 8.67/6.27 (~((~v113(constB95)) | (~v126(constB95)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17542, 17528])).
% 8.67/6.27 tff(17544,plain,
% 8.67/6.27 ((~(v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))) | v112(constB95) | ((~v113(constB95)) | (~v126(constB95)))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17545,plain,
% 8.67/6.27 (v112(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17544, 17543, 5266])).
% 8.67/6.27 tff(17546,plain,
% 8.67/6.27 ((v111(constB95) | v112(constB95)) | (~v112(constB95))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17547,plain,
% 8.67/6.27 (v111(constB95) | v112(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17546, 17545])).
% 8.67/6.27 tff(17548,plain,
% 8.67/6.27 ((~(v108(constB95) <=> (v111(constB95) | v112(constB95)))) | v108(constB95) | (~(v111(constB95) | v112(constB95)))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17549,plain,
% 8.67/6.27 (v108(constB95)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17548, 17547, 5264])).
% 8.67/6.27 tff(17550,plain,
% 8.67/6.27 ((~(v110(constB96) <=> v108(constB95))) | v110(constB96) | (~v108(constB95))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17551,plain,
% 8.67/6.27 (v110(constB96)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17550, 17549, 5262])).
% 8.67/6.27 tff(17552,plain,
% 8.67/6.27 ((~((~v101(constB96)) | (~v110(constB96)))) | (~v101(constB96)) | (~v110(constB96))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17553,plain,
% 8.67/6.27 (~((~v101(constB96)) | (~v110(constB96)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17552, 17551, 5258])).
% 8.67/6.27 tff(17554,plain,
% 8.67/6.27 ((~(v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))) | v100(constB96) | ((~v101(constB96)) | (~v110(constB96)))),
% 8.67/6.27 inference(tautology,[status(thm)],[])).
% 8.67/6.27 tff(17555,plain,
% 8.67/6.27 (v100(constB96)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17554, 17553, 5227])).
% 8.67/6.27 tff(17556,plain,
% 8.67/6.27 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B))))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17557,plain,
% 8.67/6.27 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B))))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17558,plain,
% 8.67/6.27 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17557, 17556])).
% 8.67/6.27 tff(17559,plain,
% 8.67/6.27 ((~v100(constB96)) | ![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17558, 9780])).
% 8.67/6.27 tff(17560,plain,
% 8.67/6.27 (![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17559, 17555])).
% 8.67/6.27 tff(17561,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17562,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17563,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex2)) | (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17562, 17561])).
% 8.67/6.27 tff(17564,plain,
% 8.67/6.27 (v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17563, 648, 17560])).
% 8.67/6.27 tff(17565,plain,
% 8.67/6.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B))))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17566,plain,
% 8.67/6.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B))))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17567,plain,
% 8.67/6.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17566, 17565])).
% 8.67/6.27 tff(17568,plain,
% 8.67/6.27 (![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17567, 5223, 9802])).
% 8.67/6.27 tff(17569,plain,
% 8.67/6.27 (((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17570,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)))),
% 8.67/6.27 inference(quant_inst,[status(thm)],[])).
% 8.67/6.27 tff(17571,plain,
% 8.67/6.27 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex2)) | (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2))),
% 8.67/6.27 inference(modus_ponens,[status(thm)],[17570, 17569])).
% 8.67/6.27 tff(17572,plain,
% 8.67/6.27 (v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2)),
% 8.67/6.27 inference(unit_resolution,[status(thm)],[17571, 648, 17568])).
% 8.67/6.27 tff(17573,plain,
% 8.67/6.27 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB95) | ![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB95) | ![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B))))),
% 8.67/6.27 inference(rewrite,[status(thm)],[])).
% 8.67/6.27 tff(17574,plain,
% 8.67/6.27 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB95) | ![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B))))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17575,plain,
% 8.67/6.28 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB95) | ![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17574, 17573])).
% 8.67/6.28 tff(17576,plain,
% 8.67/6.28 (![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17575, 9823, 17537])).
% 8.67/6.28 tff(17577,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17578,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17579,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex2)) | (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 8.67/6.28 tff(17580,plain,
% 8.67/6.28 (v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17579, 648, 17576])).
% 8.67/6.28 tff(17581,plain,
% 8.67/6.28 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB95)) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB95)) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B))))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17582,plain,
% 8.67/6.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB95)) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B))))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17583,plain,
% 8.67/6.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB95)) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 8.67/6.28 tff(17584,plain,
% 8.67/6.28 ((~v124(constB95)) | ![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17583, 10723])).
% 8.67/6.28 tff(17585,plain,
% 8.67/6.28 (![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17584, 17520])).
% 8.67/6.28 tff(17586,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b110(bitIndex2)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17587,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b110(bitIndex2)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17588,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB95, bitIndex2) <=> b110(bitIndex2))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17587, 17586])).
% 8.67/6.28 tff(17589,plain,
% 8.67/6.28 (v130(constB95, bitIndex2) <=> b110(bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17588, 648, 17585])).
% 8.67/6.28 tff(17590,plain,
% 8.67/6.28 ((~(v130(constB95, bitIndex2) <=> b110(bitIndex2))) | v130(constB95, bitIndex2) | (~b110(bitIndex2))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17591,plain,
% 8.67/6.28 ((~(v130(constB95, bitIndex2) <=> b110(bitIndex2))) | v130(constB95, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17590, 10735])).
% 8.67/6.28 tff(17592,plain,
% 8.67/6.28 (v130(constB95, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17591, 17589])).
% 8.67/6.28 tff(17593,plain,
% 8.67/6.28 ((~(v127(constB95, bitIndex2) <=> v130(constB95, bitIndex2))) | v127(constB95, bitIndex2) | (~v130(constB95, bitIndex2))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17594,plain,
% 8.67/6.28 (v127(constB95, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17593, 17592, 17580])).
% 8.67/6.28 tff(17595,plain,
% 8.67/6.28 ((~(v129(constB96, bitIndex2) <=> v127(constB95, bitIndex2))) | v129(constB96, bitIndex2) | (~v127(constB95, bitIndex2))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17596,plain,
% 8.67/6.28 (v129(constB96, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17595, 17594, 17572])).
% 8.67/6.28 tff(17597,plain,
% 8.67/6.28 ((~(v90(constB96, bitIndex2) <=> v129(constB96, bitIndex2))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17598,plain,
% 8.67/6.28 (v90(constB96, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17597, 17596, 17564])).
% 8.67/6.28 tff(17599,plain,
% 8.67/6.28 ((~(v90(constB97, bitIndex2) <=> v90(constB96, bitIndex2))) | v90(constB97, bitIndex2) | (~v90(constB96, bitIndex2))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17600,plain,
% 8.67/6.28 (v90(constB97, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17599, 17598, 5220])).
% 8.67/6.28 tff(17601,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17602,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17603,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 8.67/6.28 tff(17604,plain,
% 8.67/6.28 (v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17603, 9653, 5216])).
% 8.67/6.28 tff(17605,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17606,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17607,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex0)) | (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17606, 17605])).
% 8.67/6.28 tff(17608,plain,
% 8.67/6.28 (v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17607, 9653, 17560])).
% 8.67/6.28 tff(17609,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17610,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17611,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex0)) | (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17610, 17609])).
% 8.67/6.28 tff(17612,plain,
% 8.67/6.28 (v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17611, 9653, 17568])).
% 8.67/6.28 tff(17613,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17614,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17615,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex0)) | (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17614, 17613])).
% 8.67/6.28 tff(17616,plain,
% 8.67/6.28 (v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17615, 9653, 17576])).
% 8.67/6.28 tff(17617,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b110(bitIndex0)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17618,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b110(bitIndex0)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17619,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB95, bitIndex0) <=> b110(bitIndex0))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 8.67/6.28 tff(17620,plain,
% 8.67/6.28 (v130(constB95, bitIndex0) <=> b110(bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17619, 9653, 17585])).
% 8.67/6.28 tff(17621,plain,
% 8.67/6.28 ((~(v130(constB95, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB95, bitIndex0)) | b110(bitIndex0)),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17622,plain,
% 8.67/6.28 ((~(v130(constB95, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB95, bitIndex0))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17621, 10769])).
% 8.67/6.28 tff(17623,plain,
% 8.67/6.28 (~v130(constB95, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17622, 17620])).
% 8.67/6.28 tff(17624,plain,
% 8.67/6.28 ((~(v127(constB95, bitIndex0) <=> v130(constB95, bitIndex0))) | (~v127(constB95, bitIndex0)) | v130(constB95, bitIndex0)),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17625,plain,
% 8.67/6.28 (~v127(constB95, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17624, 17623, 17616])).
% 8.67/6.28 tff(17626,plain,
% 8.67/6.28 ((~(v129(constB96, bitIndex0) <=> v127(constB95, bitIndex0))) | (~v129(constB96, bitIndex0)) | v127(constB95, bitIndex0)),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17627,plain,
% 8.67/6.28 (~v129(constB96, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17626, 17625, 17612])).
% 8.67/6.28 tff(17628,plain,
% 8.67/6.28 ((~(v90(constB96, bitIndex0) <=> v129(constB96, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0)),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17629,plain,
% 8.67/6.28 (~v90(constB96, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17628, 17627, 17608])).
% 8.67/6.28 tff(17630,plain,
% 8.67/6.28 ((~(v90(constB97, bitIndex0) <=> v90(constB96, bitIndex0))) | (~v90(constB97, bitIndex0)) | v90(constB96, bitIndex0)),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17631,plain,
% 8.67/6.28 (~v90(constB97, bitIndex0)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17630, 17629, 17604])).
% 8.67/6.28 tff(17632,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17633,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17634,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB97, B) <=> v90(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 8.67/6.28 tff(17635,plain,
% 8.67/6.28 (v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17634, 375, 5216])).
% 8.67/6.28 tff(17636,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17637,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | ((~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17638,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB96, B) <=> v129(constB96, B)))) | (~less_3(bitIndex1)) | (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17637, 17636])).
% 8.67/6.28 tff(17639,plain,
% 8.67/6.28 (v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17638, 375, 17560])).
% 8.67/6.28 tff(17640,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17641,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | ((~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17642,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB96, B) <=> v127(constB95, B)))) | (~less_3(bitIndex1)) | (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17641, 17640])).
% 8.67/6.28 tff(17643,plain,
% 8.67/6.28 (v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17642, 375, 17568])).
% 8.67/6.28 tff(17644,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17645,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | ((~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17646,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB95, B) <=> v130(constB95, B)))) | (~less_3(bitIndex1)) | (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17645, 17644])).
% 8.67/6.28 tff(17647,plain,
% 8.67/6.28 (v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17646, 375, 17576])).
% 8.67/6.28 tff(17648,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b110(bitIndex1)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17649,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b110(bitIndex1)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17650,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v130(constB95, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB95, bitIndex1) <=> b110(bitIndex1))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17649, 17648])).
% 8.67/6.28 tff(17651,plain,
% 8.67/6.28 (v130(constB95, bitIndex1) <=> b110(bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17650, 375, 17585])).
% 8.67/6.28 tff(17652,plain,
% 8.67/6.28 ((~(v130(constB95, bitIndex1) <=> b110(bitIndex1))) | v130(constB95, bitIndex1) | (~b110(bitIndex1))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17653,plain,
% 8.67/6.28 ((~(v130(constB95, bitIndex1) <=> b110(bitIndex1))) | v130(constB95, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17652, 10803])).
% 8.67/6.28 tff(17654,plain,
% 8.67/6.28 (v130(constB95, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17653, 17651])).
% 8.67/6.28 tff(17655,plain,
% 8.67/6.28 ((~(v127(constB95, bitIndex1) <=> v130(constB95, bitIndex1))) | v127(constB95, bitIndex1) | (~v130(constB95, bitIndex1))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17656,plain,
% 8.67/6.28 (v127(constB95, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17655, 17654, 17647])).
% 8.67/6.28 tff(17657,plain,
% 8.67/6.28 ((~(v129(constB96, bitIndex1) <=> v127(constB95, bitIndex1))) | v129(constB96, bitIndex1) | (~v127(constB95, bitIndex1))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17658,plain,
% 8.67/6.28 (v129(constB96, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17657, 17656, 17643])).
% 8.67/6.28 tff(17659,plain,
% 8.67/6.28 ((~(v90(constB96, bitIndex1) <=> v129(constB96, bitIndex1))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17660,plain,
% 8.67/6.28 (v90(constB96, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17659, 17658, 17639])).
% 8.67/6.28 tff(17661,plain,
% 8.67/6.28 ((~(v90(constB97, bitIndex1) <=> v90(constB96, bitIndex1))) | v90(constB97, bitIndex1) | (~v90(constB96, bitIndex1))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17662,plain,
% 8.67/6.28 (v90(constB97, bitIndex1)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17661, 17660, 17635])).
% 8.67/6.28 tff(17663,plain,
% 8.67/6.28 ((~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17664,plain,
% 8.67/6.28 (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17663, 17662, 17631, 17600])).
% 8.67/6.28 tff(17665,plain,
% 8.67/6.28 ((~(v125(constB97) <=> (~((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))) | v125(constB97) | ((~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17666,plain,
% 8.67/6.28 (v125(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17665, 17664, 5188])).
% 8.67/6.28 tff(17667,plain,
% 8.67/6.28 ((v114(constB97) | v125(constB97)) | (~v125(constB97))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17668,plain,
% 8.67/6.28 (v114(constB97) | v125(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17667, 17666])).
% 8.67/6.28 tff(17669,plain,
% 8.67/6.28 ((~(v113(constB97) <=> (v114(constB97) | v125(constB97)))) | v113(constB97) | (~(v114(constB97) | v125(constB97)))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17670,plain,
% 8.67/6.28 (v113(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17669, 17668, 5181])).
% 8.67/6.28 tff(17671,plain,
% 8.67/6.28 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB97)) <=> v111(constB97))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17672,plain,
% 8.67/6.28 ((~v126(constB97)) <=> v111(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17671, 9720])).
% 8.67/6.28 tff(17673,plain,
% 8.67/6.28 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB97) <=> v26(constB97))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17674,plain,
% 8.67/6.28 (v111(constB97) <=> v26(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17673, 9732])).
% 8.67/6.28 tff(17675,plain,
% 8.67/6.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17676,plain,
% 8.67/6.28 (~v26(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17675, 9744])).
% 8.67/6.28 tff(17677,plain,
% 8.67/6.28 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97)) | v26(constB97)),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17678,plain,
% 8.67/6.28 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17677, 17676])).
% 8.67/6.28 tff(17679,plain,
% 8.67/6.28 (~v111(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17678, 17674])).
% 8.67/6.28 tff(17680,plain,
% 8.67/6.28 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97) | v111(constB97)),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17681,plain,
% 8.67/6.28 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17680, 17679])).
% 8.67/6.28 tff(17682,plain,
% 8.67/6.28 (v126(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17681, 17672])).
% 8.67/6.28 tff(17683,plain,
% 8.67/6.28 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97)) | (~v126(constB97))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17684,plain,
% 8.67/6.28 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17683, 17682])).
% 8.67/6.28 tff(17685,plain,
% 8.67/6.28 (~((~v113(constB97)) | (~v126(constB97)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17684, 17670])).
% 8.67/6.28 tff(17686,plain,
% 8.67/6.28 ((~(v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))) | v112(constB97) | ((~v113(constB97)) | (~v126(constB97)))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17687,plain,
% 8.67/6.28 (v112(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17686, 17685, 5179])).
% 8.67/6.28 tff(17688,plain,
% 8.67/6.28 ((v111(constB97) | v112(constB97)) | (~v112(constB97))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17689,plain,
% 8.67/6.28 (v111(constB97) | v112(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17688, 17687])).
% 8.67/6.28 tff(17690,plain,
% 8.67/6.28 ((~(v108(constB97) <=> (v111(constB97) | v112(constB97)))) | v108(constB97) | (~(v111(constB97) | v112(constB97)))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17691,plain,
% 8.67/6.28 (v108(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17690, 17689, 5177])).
% 8.67/6.28 tff(17692,plain,
% 8.67/6.28 ((~(v110(constB98) <=> v108(constB97))) | v110(constB98) | (~v108(constB97))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17693,plain,
% 8.67/6.28 (v110(constB98)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17692, 17691, 5175])).
% 8.67/6.28 tff(17694,plain,
% 8.67/6.28 ((~((~v101(constB98)) | (~v110(constB98)))) | (~v101(constB98)) | (~v110(constB98))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17695,plain,
% 8.67/6.28 (~((~v101(constB98)) | (~v110(constB98)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17694, 17693, 5171])).
% 8.67/6.28 tff(17696,plain,
% 8.67/6.28 ((~(v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))) | v100(constB98) | ((~v101(constB98)) | (~v110(constB98)))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17697,plain,
% 8.67/6.28 (v100(constB98)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17696, 17695, 5140])).
% 8.67/6.28 tff(17698,plain,
% 8.67/6.28 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B))))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17699,plain,
% 8.67/6.28 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B))))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17700,plain,
% 8.67/6.28 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17699, 17698])).
% 8.67/6.28 tff(17701,plain,
% 8.67/6.28 ((~v100(constB98)) | ![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17700, 9780])).
% 8.67/6.28 tff(17702,plain,
% 8.67/6.28 (![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17701, 17697])).
% 8.67/6.28 tff(17703,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17704,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17705,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex2)) | (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17704, 17703])).
% 8.67/6.28 tff(17706,plain,
% 8.67/6.28 (v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17705, 648, 17702])).
% 8.67/6.28 tff(17707,plain,
% 8.67/6.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B))))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17708,plain,
% 8.67/6.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B))))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17709,plain,
% 8.67/6.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17708, 17707])).
% 8.67/6.28 tff(17710,plain,
% 8.67/6.28 (![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17709, 5136, 9802])).
% 8.67/6.28 tff(17711,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17712,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17713,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex2)) | (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17712, 17711])).
% 8.67/6.28 tff(17714,plain,
% 8.67/6.28 (v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17713, 648, 17710])).
% 8.67/6.28 tff(17715,plain,
% 8.67/6.28 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB97) | ![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB97) | ![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B))))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17716,plain,
% 8.67/6.28 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB97) | ![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B))))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17717,plain,
% 8.67/6.28 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB97) | ![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 8.67/6.28 tff(17718,plain,
% 8.67/6.28 (![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17717, 9823, 17679])).
% 8.67/6.28 tff(17719,plain,
% 8.67/6.28 (((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17720,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17721,plain,
% 8.67/6.28 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex2)) | (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2))),
% 8.67/6.28 inference(modus_ponens,[status(thm)],[17720, 17719])).
% 8.67/6.28 tff(17722,plain,
% 8.67/6.28 (v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17721, 648, 17718])).
% 8.67/6.28 tff(17723,plain,
% 8.67/6.28 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))))),
% 8.67/6.28 inference(quant_inst,[status(thm)],[])).
% 8.67/6.28 tff(17724,plain,
% 8.67/6.28 (v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)))),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17723, 9620])).
% 8.67/6.28 tff(17725,plain,
% 8.67/6.28 ((v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex2))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17726,plain,
% 8.67/6.28 (v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17725, 17600])).
% 8.67/6.28 tff(17727,plain,
% 8.67/6.28 ((~(v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))))) | (~v119(constB97)) | (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)))),
% 8.67/6.28 inference(tautology,[status(thm)],[])).
% 8.67/6.28 tff(17728,plain,
% 8.67/6.28 (~v119(constB97)),
% 8.67/6.28 inference(unit_resolution,[status(thm)],[17727, 17726, 17724])).
% 8.67/6.28 tff(17729,plain,
% 8.67/6.28 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17730,plain,
% 8.67/6.28 ((v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2))))) <=> (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 8.67/6.28 inference(rewrite,[status(thm)],[])).
% 8.67/6.28 tff(17731,plain,
% 8.67/6.28 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.29 inference(monotonicity,[status(thm)],[17730])).
% 8.67/6.29 tff(17732,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.29 inference(transitivity,[status(thm)],[17731, 17729])).
% 8.67/6.29 tff(17733,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2)))))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17734,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17733, 17732])).
% 8.67/6.29 tff(17735,plain,
% 8.67/6.29 (v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17734, 815])).
% 8.67/6.29 tff(17736,plain,
% 8.67/6.29 (((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex1))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17737,plain,
% 8.67/6.29 ((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17736, 17662])).
% 8.67/6.29 tff(17738,plain,
% 8.67/6.29 ((~(v124(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))) | (~v124(constB97)) | (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17739,plain,
% 8.67/6.29 (~v124(constB97)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17738, 17737, 17735])).
% 8.67/6.29 tff(17740,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17741,plain,
% 8.67/6.29 ((v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2))))) <=> (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17742,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(monotonicity,[status(thm)],[17741])).
% 8.67/6.29 tff(17743,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(transitivity,[status(thm)],[17742, 17740])).
% 8.67/6.29 tff(17744,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)))))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17745,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17744, 17743])).
% 8.67/6.29 tff(17746,plain,
% 8.67/6.29 (v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17745, 919])).
% 8.67/6.29 tff(17747,plain,
% 8.67/6.29 (((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17748,plain,
% 8.67/6.29 ((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17747, 17662])).
% 8.67/6.29 tff(17749,plain,
% 8.67/6.29 ((~(v123(constB97) <=> (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0))))) | (~v123(constB97)) | (~((~v90(constB97, bitIndex2)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex0)))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17750,plain,
% 8.67/6.29 (~v123(constB97)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17749, 17748, 17746])).
% 8.67/6.29 tff(17751,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17752,plain,
% 8.67/6.29 ((v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1))))) <=> (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17753,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.29 inference(monotonicity,[status(thm)],[17752])).
% 8.67/6.29 tff(17754,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.29 inference(transitivity,[status(thm)],[17753, 17751])).
% 8.67/6.29 tff(17755,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1)))))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17756,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17755, 17754])).
% 8.67/6.29 tff(17757,plain,
% 8.67/6.29 (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17756, 1025])).
% 8.67/6.29 tff(17758,plain,
% 8.67/6.29 ((v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex2))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17759,plain,
% 8.67/6.29 (v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17758, 17600])).
% 8.67/6.29 tff(17760,plain,
% 8.67/6.29 ((~(v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))) | (~v122(constB97)) | (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17761,plain,
% 8.67/6.29 (~v122(constB97)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17760, 17759, 17757])).
% 8.67/6.29 tff(17762,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17763,plain,
% 8.67/6.29 ((v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1))))) <=> (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17764,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(monotonicity,[status(thm)],[17763])).
% 8.67/6.29 tff(17765,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(transitivity,[status(thm)],[17764, 17762])).
% 8.67/6.29 tff(17766,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)))))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17767,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17766, 17765])).
% 8.67/6.29 tff(17768,plain,
% 8.67/6.29 (v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17767, 1133])).
% 8.67/6.29 tff(17769,plain,
% 8.67/6.29 ((v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17770,plain,
% 8.67/6.29 (v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17769, 17600])).
% 8.67/6.29 tff(17771,plain,
% 8.67/6.29 ((~(v121(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0))))) | (~v121(constB97)) | (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | v90(constB97, bitIndex0)))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17772,plain,
% 8.67/6.29 (~v121(constB97)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17771, 17770, 17768])).
% 8.67/6.29 tff(17773,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17774,plain,
% 8.67/6.29 ((v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))))) <=> (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17775,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.29 inference(monotonicity,[status(thm)],[17774])).
% 8.67/6.29 tff(17776,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))))),
% 8.67/6.29 inference(transitivity,[status(thm)],[17775, 17773])).
% 8.67/6.29 tff(17777,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17778,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17777, 17776])).
% 8.67/6.29 tff(17779,plain,
% 8.67/6.29 (v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17778, 610])).
% 8.67/6.29 tff(17780,plain,
% 8.67/6.29 ((v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex2))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17781,plain,
% 8.67/6.29 (v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17780, 17600])).
% 8.67/6.29 tff(17782,plain,
% 8.67/6.29 ((~(v120(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)))))) | (~v120(constB97)) | (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0))))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17783,plain,
% 8.67/6.29 (~v120(constB97)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17782, 17781, 17779])).
% 8.67/6.29 tff(17784,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17785,plain,
% 8.67/6.29 ((v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) <=> (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B))))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17786,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))))),
% 8.67/6.29 inference(monotonicity,[status(thm)],[17785])).
% 8.67/6.29 tff(17787,plain,
% 8.67/6.29 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B))))),
% 8.67/6.29 inference(transitivity,[status(thm)],[17786, 17784])).
% 8.67/6.29 tff(17788,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B))))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17789,plain,
% 8.67/6.29 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17788, 17787])).
% 8.67/6.29 tff(17790,plain,
% 8.67/6.29 (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | ![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17789, 10951])).
% 8.67/6.29 tff(17791,plain,
% 8.67/6.29 (![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17790, 17783, 17772, 17761, 17750, 17739, 17728])).
% 8.67/6.29 tff(17792,plain,
% 8.67/6.29 (((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b001(bitIndex2)))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17793,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b001(bitIndex2)))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17794,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB97, bitIndex2) <=> b001(bitIndex2))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17793, 17792])).
% 8.67/6.29 tff(17795,plain,
% 8.67/6.29 (v130(constB97, bitIndex2) <=> b001(bitIndex2)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17794, 648, 17791])).
% 8.67/6.29 tff(17796,plain,
% 8.67/6.29 ((~(v130(constB97, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB97, bitIndex2)) | b001(bitIndex2)),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17797,plain,
% 8.67/6.29 ((~(v130(constB97, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB97, bitIndex2))),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17796, 9855])).
% 8.67/6.29 tff(17798,plain,
% 8.67/6.29 (~v130(constB97, bitIndex2)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17797, 17795])).
% 8.67/6.29 tff(17799,plain,
% 8.67/6.29 ((~(v127(constB97, bitIndex2) <=> v130(constB97, bitIndex2))) | (~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17800,plain,
% 8.67/6.29 (~v127(constB97, bitIndex2)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17799, 17798, 17722])).
% 8.67/6.29 tff(17801,plain,
% 8.67/6.29 ((~(v129(constB98, bitIndex2) <=> v127(constB97, bitIndex2))) | (~v129(constB98, bitIndex2)) | v127(constB97, bitIndex2)),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17802,plain,
% 8.67/6.29 (~v129(constB98, bitIndex2)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17801, 17800, 17714])).
% 8.67/6.29 tff(17803,plain,
% 8.67/6.29 ((~(v90(constB98, bitIndex2) <=> v129(constB98, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2)),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17804,plain,
% 8.67/6.29 (~v90(constB98, bitIndex2)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17803, 17802, 17706])).
% 8.67/6.29 tff(17805,plain,
% 8.67/6.29 ((~(v90(constB99, bitIndex2) <=> v90(constB98, bitIndex2))) | (~v90(constB99, bitIndex2)) | v90(constB98, bitIndex2)),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17806,plain,
% 8.67/6.29 (~v90(constB99, bitIndex2)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17805, 17804, 5133])).
% 8.67/6.29 tff(17807,plain,
% 8.67/6.29 (((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17808,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17809,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17808, 17807])).
% 8.67/6.29 tff(17810,plain,
% 8.67/6.29 (v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17809, 9653, 5129])).
% 8.67/6.29 tff(17811,plain,
% 8.67/6.29 (((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17812,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17813,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex0)) | (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17812, 17811])).
% 8.67/6.29 tff(17814,plain,
% 8.67/6.29 (v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17813, 9653, 17702])).
% 8.67/6.29 tff(17815,plain,
% 8.67/6.29 (((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17816,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17817,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex0)) | (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17816, 17815])).
% 8.67/6.29 tff(17818,plain,
% 8.67/6.29 (v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17817, 9653, 17710])).
% 8.67/6.29 tff(17819,plain,
% 8.67/6.29 (((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17820,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17821,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex0)) | (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17820, 17819])).
% 8.67/6.29 tff(17822,plain,
% 8.67/6.29 (v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17821, 9653, 17718])).
% 8.67/6.29 tff(17823,plain,
% 8.67/6.29 (((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b001(bitIndex0)))),
% 8.67/6.29 inference(rewrite,[status(thm)],[])).
% 8.67/6.29 tff(17824,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b001(bitIndex0)))),
% 8.67/6.29 inference(quant_inst,[status(thm)],[])).
% 8.67/6.29 tff(17825,plain,
% 8.67/6.29 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB97, bitIndex0) <=> b001(bitIndex0))),
% 8.67/6.29 inference(modus_ponens,[status(thm)],[17824, 17823])).
% 8.67/6.29 tff(17826,plain,
% 8.67/6.29 (v130(constB97, bitIndex0) <=> b001(bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17825, 9653, 17791])).
% 8.67/6.29 tff(17827,plain,
% 8.67/6.29 ((~(v130(constB97, bitIndex0) <=> b001(bitIndex0))) | v130(constB97, bitIndex0) | (~b001(bitIndex0))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17828,plain,
% 8.67/6.29 ((~(v130(constB97, bitIndex0) <=> b001(bitIndex0))) | v130(constB97, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17827, 9889])).
% 8.67/6.29 tff(17829,plain,
% 8.67/6.29 (v130(constB97, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17828, 17826])).
% 8.67/6.29 tff(17830,plain,
% 8.67/6.29 ((~(v127(constB97, bitIndex0) <=> v130(constB97, bitIndex0))) | v127(constB97, bitIndex0) | (~v130(constB97, bitIndex0))),
% 8.67/6.29 inference(tautology,[status(thm)],[])).
% 8.67/6.29 tff(17831,plain,
% 8.67/6.29 (v127(constB97, bitIndex0)),
% 8.67/6.29 inference(unit_resolution,[status(thm)],[17830, 17829, 17822])).
% 8.67/6.29 tff(17832,plain,
% 8.67/6.30 ((~(v129(constB98, bitIndex0) <=> v127(constB97, bitIndex0))) | v129(constB98, bitIndex0) | (~v127(constB97, bitIndex0))),
% 8.67/6.30 inference(tautology,[status(thm)],[])).
% 8.67/6.30 tff(17833,plain,
% 8.67/6.30 (v129(constB98, bitIndex0)),
% 8.67/6.30 inference(unit_resolution,[status(thm)],[17832, 17831, 17818])).
% 8.67/6.30 tff(17834,plain,
% 8.67/6.30 ((~(v90(constB98, bitIndex0) <=> v129(constB98, bitIndex0))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0))),
% 8.67/6.30 inference(tautology,[status(thm)],[])).
% 8.67/6.30 tff(17835,plain,
% 8.67/6.30 (v90(constB98, bitIndex0)),
% 8.67/6.30 inference(unit_resolution,[status(thm)],[17834, 17833, 17814])).
% 8.67/6.30 tff(17836,plain,
% 8.67/6.30 ((~(v90(constB99, bitIndex0) <=> v90(constB98, bitIndex0))) | v90(constB99, bitIndex0) | (~v90(constB98, bitIndex0))),
% 8.67/6.30 inference(tautology,[status(thm)],[])).
% 8.67/6.30 tff(17837,plain,
% 8.67/6.30 (v90(constB99, bitIndex0)),
% 8.67/6.30 inference(unit_resolution,[status(thm)],[17836, 17835, 17810])).
% 8.67/6.30 tff(17838,plain,
% 8.67/6.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)))),
% 8.67/6.30 inference(rewrite,[status(thm)],[])).
% 8.67/6.30 tff(17839,plain,
% 8.67/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)))),
% 8.67/6.30 inference(quant_inst,[status(thm)],[])).
% 8.67/6.30 tff(17840,plain,
% 8.67/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB99, B) <=> v90(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1))),
% 8.67/6.30 inference(modus_ponens,[status(thm)],[17839, 17838])).
% 8.67/6.30 tff(17841,plain,
% 8.67/6.30 (v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1)),
% 8.67/6.30 inference(unit_resolution,[status(thm)],[17840, 375, 5129])).
% 8.67/6.30 tff(17842,plain,
% 8.67/6.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)))),
% 8.67/6.30 inference(rewrite,[status(thm)],[])).
% 8.67/6.30 tff(17843,plain,
% 8.67/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | ((~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)))),
% 8.67/6.30 inference(quant_inst,[status(thm)],[])).
% 8.67/6.30 tff(17844,plain,
% 8.67/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB98, B) <=> v129(constB98, B)))) | (~less_3(bitIndex1)) | (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1))),
% 8.67/6.30 inference(modus_ponens,[status(thm)],[17843, 17842])).
% 8.67/6.30 tff(17845,plain,
% 8.67/6.30 (v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1)),
% 8.67/6.30 inference(unit_resolution,[status(thm)],[17844, 375, 17702])).
% 8.67/6.30 tff(17846,plain,
% 8.67/6.30 (((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)))),
% 8.67/6.30 inference(rewrite,[status(thm)],[])).
% 8.67/6.30 tff(17847,plain,
% 8.67/6.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | ((~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)))),
% 8.67/6.30 inference(quant_inst,[status(thm)],[])).
% 8.67/6.30 tff(17848,plain,
% 8.67/6.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB98, B) <=> v127(constB97, B)))) | (~less_3(bitIndex1)) | (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1))),
% 8.67/6.30 inference(modus_ponens,[status(thm)],[17847, 17846])).
% 8.67/6.30 tff(17849,plain,
% 8.67/6.30 (v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1)),
% 8.67/6.30 inference(unit_resolution,[status(thm)],[17848, 375, 17710])).
% 8.67/6.30 tff(17850,plain,
% 8.67/6.30 (((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17851,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | ((~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17852,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB97, B) <=> v130(constB97, B)))) | (~less_3(bitIndex1)) | (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17851, 17850])).
% 8.72/6.30 tff(17853,plain,
% 8.72/6.30 (v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17852, 375, 17718])).
% 8.72/6.30 tff(17854,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b001(bitIndex1)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17855,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b001(bitIndex1)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17856,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB97, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB97, bitIndex1) <=> b001(bitIndex1))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17855, 17854])).
% 8.72/6.30 tff(17857,plain,
% 8.72/6.30 (v130(constB97, bitIndex1) <=> b001(bitIndex1)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17856, 375, 17791])).
% 8.72/6.30 tff(17858,plain,
% 8.72/6.30 ((~(v130(constB97, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB97, bitIndex1)) | b001(bitIndex1)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17859,plain,
% 8.72/6.30 ((~(v130(constB97, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB97, bitIndex1))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17858, 9923])).
% 8.72/6.30 tff(17860,plain,
% 8.72/6.30 (~v130(constB97, bitIndex1)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17859, 17857])).
% 8.72/6.30 tff(17861,plain,
% 8.72/6.30 ((~(v127(constB97, bitIndex1) <=> v130(constB97, bitIndex1))) | (~v127(constB97, bitIndex1)) | v130(constB97, bitIndex1)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17862,plain,
% 8.72/6.30 (~v127(constB97, bitIndex1)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17861, 17860, 17853])).
% 8.72/6.30 tff(17863,plain,
% 8.72/6.30 ((~(v129(constB98, bitIndex1) <=> v127(constB97, bitIndex1))) | (~v129(constB98, bitIndex1)) | v127(constB97, bitIndex1)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17864,plain,
% 8.72/6.30 (~v129(constB98, bitIndex1)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17863, 17862, 17849])).
% 8.72/6.30 tff(17865,plain,
% 8.72/6.30 ((~(v90(constB98, bitIndex1) <=> v129(constB98, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17866,plain,
% 8.72/6.30 (~v90(constB98, bitIndex1)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17865, 17864, 17845])).
% 8.72/6.30 tff(17867,plain,
% 8.72/6.30 ((~(v90(constB99, bitIndex1) <=> v90(constB98, bitIndex1))) | (~v90(constB99, bitIndex1)) | v90(constB98, bitIndex1)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17868,plain,
% 8.72/6.30 (~v90(constB99, bitIndex1)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17867, 17866, 17841])).
% 8.72/6.30 tff(17869,plain,
% 8.72/6.30 ((~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))) | v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17870,plain,
% 8.72/6.30 (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17869, 17868, 17837, 17806])).
% 8.72/6.30 tff(17871,plain,
% 8.72/6.30 ((~(v120(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))))) | v120(constB99) | (v90(constB99, bitIndex2) | v90(constB99, bitIndex1) | (~v90(constB99, bitIndex0)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17872,plain,
% 8.72/6.30 (v120(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17871, 17870, 5101])).
% 8.72/6.30 tff(17873,plain,
% 8.72/6.30 ((v119(constB99) | v120(constB99)) | (~v120(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17874,plain,
% 8.72/6.30 (v119(constB99) | v120(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17873, 17872])).
% 8.72/6.30 tff(17875,plain,
% 8.72/6.30 ((~(v118(constB99) <=> (v119(constB99) | v120(constB99)))) | v118(constB99) | (~(v119(constB99) | v120(constB99)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17876,plain,
% 8.72/6.30 (v118(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17875, 17874, 5094])).
% 8.72/6.30 tff(17877,plain,
% 8.72/6.30 ((v118(constB99) | v121(constB99)) | (~v118(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17878,plain,
% 8.72/6.30 (v118(constB99) | v121(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17877, 17876])).
% 8.72/6.30 tff(17879,plain,
% 8.72/6.30 ((~(v117(constB99) <=> (v118(constB99) | v121(constB99)))) | v117(constB99) | (~(v118(constB99) | v121(constB99)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17880,plain,
% 8.72/6.30 (v117(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17879, 17878, 5092])).
% 8.72/6.30 tff(17881,plain,
% 8.72/6.30 ((v117(constB99) | v122(constB99)) | (~v117(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17882,plain,
% 8.72/6.30 (v117(constB99) | v122(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17881, 17880])).
% 8.72/6.30 tff(17883,plain,
% 8.72/6.30 ((~(v116(constB99) <=> (v117(constB99) | v122(constB99)))) | v116(constB99) | (~(v117(constB99) | v122(constB99)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17884,plain,
% 8.72/6.30 (v116(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17883, 17882, 5090])).
% 8.72/6.30 tff(17885,plain,
% 8.72/6.30 ((v116(constB99) | v123(constB99)) | (~v116(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17886,plain,
% 8.72/6.30 (v116(constB99) | v123(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17885, 17884])).
% 8.72/6.30 tff(17887,plain,
% 8.72/6.30 ((~(v115(constB99) <=> (v116(constB99) | v123(constB99)))) | v115(constB99) | (~(v116(constB99) | v123(constB99)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17888,plain,
% 8.72/6.30 (v115(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17887, 17886, 5088])).
% 8.72/6.30 tff(17889,plain,
% 8.72/6.30 ((v115(constB99) | v124(constB99)) | (~v115(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17890,plain,
% 8.72/6.30 (v115(constB99) | v124(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17889, 17888])).
% 8.72/6.30 tff(17891,plain,
% 8.72/6.30 ((~(v114(constB99) <=> (v115(constB99) | v124(constB99)))) | v114(constB99) | (~(v115(constB99) | v124(constB99)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17892,plain,
% 8.72/6.30 (v114(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17891, 17890, 5086])).
% 8.72/6.30 tff(17893,plain,
% 8.72/6.30 ((v114(constB99) | v125(constB99)) | (~v114(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17894,plain,
% 8.72/6.30 (v114(constB99) | v125(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17893, 17892])).
% 8.72/6.30 tff(17895,plain,
% 8.72/6.30 ((~(v113(constB99) <=> (v114(constB99) | v125(constB99)))) | v113(constB99) | (~(v114(constB99) | v125(constB99)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17896,plain,
% 8.72/6.30 (v113(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17895, 17894, 5084])).
% 8.72/6.30 tff(17897,plain,
% 8.72/6.30 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB99)) <=> v111(constB99))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17898,plain,
% 8.72/6.30 ((~v126(constB99)) <=> v111(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17897, 9720])).
% 8.72/6.30 tff(17899,plain,
% 8.72/6.30 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB99) <=> v26(constB99))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17900,plain,
% 8.72/6.30 (v111(constB99) <=> v26(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17899, 9732])).
% 8.72/6.30 tff(17901,plain,
% 8.72/6.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17902,plain,
% 8.72/6.30 (~v26(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17901, 9744])).
% 8.72/6.30 tff(17903,plain,
% 8.72/6.30 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99)) | v26(constB99)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17904,plain,
% 8.72/6.30 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17903, 17902])).
% 8.72/6.30 tff(17905,plain,
% 8.72/6.30 (~v111(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17904, 17900])).
% 8.72/6.30 tff(17906,plain,
% 8.72/6.30 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99) | v111(constB99)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17907,plain,
% 8.72/6.30 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17906, 17905])).
% 8.72/6.30 tff(17908,plain,
% 8.72/6.30 (v126(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17907, 17898])).
% 8.72/6.30 tff(17909,plain,
% 8.72/6.30 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99)) | (~v126(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17910,plain,
% 8.72/6.30 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17909, 17908])).
% 8.72/6.30 tff(17911,plain,
% 8.72/6.30 (~((~v113(constB99)) | (~v126(constB99)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17910, 17896])).
% 8.72/6.30 tff(17912,plain,
% 8.72/6.30 ((~(v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))) | v112(constB99) | ((~v113(constB99)) | (~v126(constB99)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17913,plain,
% 8.72/6.30 (v112(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17912, 17911, 5082])).
% 8.72/6.30 tff(17914,plain,
% 8.72/6.30 ((v111(constB99) | v112(constB99)) | (~v112(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17915,plain,
% 8.72/6.30 (v111(constB99) | v112(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17914, 17913])).
% 8.72/6.30 tff(17916,plain,
% 8.72/6.30 ((~(v108(constB99) <=> (v111(constB99) | v112(constB99)))) | v108(constB99) | (~(v111(constB99) | v112(constB99)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17917,plain,
% 8.72/6.30 (v108(constB99)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17916, 17915, 5080])).
% 8.72/6.30 tff(17918,plain,
% 8.72/6.30 ((~(v110(constB100) <=> v108(constB99))) | v110(constB100) | (~v108(constB99))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17919,plain,
% 8.72/6.30 (v110(constB100)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17918, 17917, 5078])).
% 8.72/6.30 tff(17920,plain,
% 8.72/6.30 ((~((~v101(constB100)) | (~v110(constB100)))) | (~v101(constB100)) | (~v110(constB100))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17921,plain,
% 8.72/6.30 (~((~v101(constB100)) | (~v110(constB100)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17920, 17919, 5074])).
% 8.72/6.30 tff(17922,plain,
% 8.72/6.30 ((~(v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))) | v100(constB100) | ((~v101(constB100)) | (~v110(constB100)))),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17923,plain,
% 8.72/6.30 (v100(constB100)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17922, 17921, 5043])).
% 8.72/6.30 tff(17924,plain,
% 8.72/6.30 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B))))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17925,plain,
% 8.72/6.30 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B))))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17926,plain,
% 8.72/6.30 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 8.72/6.30 tff(17927,plain,
% 8.72/6.30 ((~v100(constB100)) | ![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17926, 9780])).
% 8.72/6.30 tff(17928,plain,
% 8.72/6.30 (![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17927, 17923])).
% 8.72/6.30 tff(17929,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17930,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17931,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex2)) | (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17930, 17929])).
% 8.72/6.30 tff(17932,plain,
% 8.72/6.30 (v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17931, 648, 17928])).
% 8.72/6.30 tff(17933,plain,
% 8.72/6.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B))))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17934,plain,
% 8.72/6.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B))))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17935,plain,
% 8.72/6.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17934, 17933])).
% 8.72/6.30 tff(17936,plain,
% 8.72/6.30 (![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17935, 5039, 9802])).
% 8.72/6.30 tff(17937,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17938,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17939,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex2)) | (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 8.72/6.30 tff(17940,plain,
% 8.72/6.30 (v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17939, 648, 17936])).
% 8.72/6.30 tff(17941,plain,
% 8.72/6.30 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB99) | ![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB99) | ![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B))))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17942,plain,
% 8.72/6.30 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB99) | ![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B))))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17943,plain,
% 8.72/6.30 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB99) | ![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17942, 17941])).
% 8.72/6.30 tff(17944,plain,
% 8.72/6.30 (![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17943, 9823, 17905])).
% 8.72/6.30 tff(17945,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17946,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17947,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex2)) | (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 8.72/6.30 tff(17948,plain,
% 8.72/6.30 (v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17947, 648, 17944])).
% 8.72/6.30 tff(17949,plain,
% 8.72/6.30 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B))))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17950,plain,
% 8.72/6.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B))))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17951,plain,
% 8.72/6.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17950, 17949])).
% 8.72/6.30 tff(17952,plain,
% 8.72/6.30 ((~v120(constB99)) | ![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17951, 10027])).
% 8.72/6.30 tff(17953,plain,
% 8.72/6.30 (![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17952, 17872])).
% 8.72/6.30 tff(17954,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b010(bitIndex2)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17955,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b010(bitIndex2)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17956,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB99, bitIndex2) <=> b010(bitIndex2))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 8.72/6.30 tff(17957,plain,
% 8.72/6.30 (v130(constB99, bitIndex2) <=> b010(bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17956, 648, 17953])).
% 8.72/6.30 tff(17958,plain,
% 8.72/6.30 ((~(v130(constB99, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB99, bitIndex2)) | b010(bitIndex2)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17959,plain,
% 8.72/6.30 ((~(v130(constB99, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB99, bitIndex2))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17958, 10039])).
% 8.72/6.30 tff(17960,plain,
% 8.72/6.30 (~v130(constB99, bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17959, 17957])).
% 8.72/6.30 tff(17961,plain,
% 8.72/6.30 ((~(v127(constB99, bitIndex2) <=> v130(constB99, bitIndex2))) | (~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17962,plain,
% 8.72/6.30 (~v127(constB99, bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17961, 17960, 17948])).
% 8.72/6.30 tff(17963,plain,
% 8.72/6.30 ((~(v129(constB100, bitIndex2) <=> v127(constB99, bitIndex2))) | (~v129(constB100, bitIndex2)) | v127(constB99, bitIndex2)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17964,plain,
% 8.72/6.30 (~v129(constB100, bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17963, 17962, 17940])).
% 8.72/6.30 tff(17965,plain,
% 8.72/6.30 ((~(v90(constB100, bitIndex2) <=> v129(constB100, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17966,plain,
% 8.72/6.30 (~v90(constB100, bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17965, 17964, 17932])).
% 8.72/6.30 tff(17967,plain,
% 8.72/6.30 ((~(v90(constB101, bitIndex2) <=> v90(constB100, bitIndex2))) | (~v90(constB101, bitIndex2)) | v90(constB100, bitIndex2)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17968,plain,
% 8.72/6.30 (~v90(constB101, bitIndex2)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17967, 17966, 5036])).
% 8.72/6.30 tff(17969,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17970,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17971,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17970, 17969])).
% 8.72/6.30 tff(17972,plain,
% 8.72/6.30 (v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17971, 9653, 5032])).
% 8.72/6.30 tff(17973,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17974,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17975,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex0)) | (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17974, 17973])).
% 8.72/6.30 tff(17976,plain,
% 8.72/6.30 (v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17975, 9653, 17928])).
% 8.72/6.30 tff(17977,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17978,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17979,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex0)) | (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17978, 17977])).
% 8.72/6.30 tff(17980,plain,
% 8.72/6.30 (v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17979, 9653, 17936])).
% 8.72/6.30 tff(17981,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17982,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17983,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex0)) | (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17982, 17981])).
% 8.72/6.30 tff(17984,plain,
% 8.72/6.30 (v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17983, 9653, 17944])).
% 8.72/6.30 tff(17985,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b010(bitIndex0)))),
% 8.72/6.30 inference(rewrite,[status(thm)],[])).
% 8.72/6.30 tff(17986,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b010(bitIndex0)))),
% 8.72/6.30 inference(quant_inst,[status(thm)],[])).
% 8.72/6.30 tff(17987,plain,
% 8.72/6.30 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB99, bitIndex0) <=> b010(bitIndex0))),
% 8.72/6.30 inference(modus_ponens,[status(thm)],[17986, 17985])).
% 8.72/6.30 tff(17988,plain,
% 8.72/6.30 (v130(constB99, bitIndex0) <=> b010(bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17987, 9653, 17953])).
% 8.72/6.30 tff(17989,plain,
% 8.72/6.30 ((~(v130(constB99, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB99, bitIndex0)) | b010(bitIndex0)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17990,plain,
% 8.72/6.30 ((~(v130(constB99, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB99, bitIndex0))),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17989, 10073])).
% 8.72/6.30 tff(17991,plain,
% 8.72/6.30 (~v130(constB99, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17990, 17988])).
% 8.72/6.30 tff(17992,plain,
% 8.72/6.30 ((~(v127(constB99, bitIndex0) <=> v130(constB99, bitIndex0))) | (~v127(constB99, bitIndex0)) | v130(constB99, bitIndex0)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17993,plain,
% 8.72/6.30 (~v127(constB99, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17992, 17991, 17984])).
% 8.72/6.30 tff(17994,plain,
% 8.72/6.30 ((~(v129(constB100, bitIndex0) <=> v127(constB99, bitIndex0))) | (~v129(constB100, bitIndex0)) | v127(constB99, bitIndex0)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17995,plain,
% 8.72/6.30 (~v129(constB100, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17994, 17993, 17980])).
% 8.72/6.30 tff(17996,plain,
% 8.72/6.30 ((~(v90(constB100, bitIndex0) <=> v129(constB100, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17997,plain,
% 8.72/6.30 (~v90(constB100, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17996, 17995, 17976])).
% 8.72/6.30 tff(17998,plain,
% 8.72/6.30 ((~(v90(constB101, bitIndex0) <=> v90(constB100, bitIndex0))) | (~v90(constB101, bitIndex0)) | v90(constB100, bitIndex0)),
% 8.72/6.30 inference(tautology,[status(thm)],[])).
% 8.72/6.30 tff(17999,plain,
% 8.72/6.30 (~v90(constB101, bitIndex0)),
% 8.72/6.30 inference(unit_resolution,[status(thm)],[17998, 17997, 17972])).
% 8.72/6.30 tff(18000,plain,
% 8.72/6.30 (((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18001,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18002,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB101, B) <=> v90(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18001, 18000])).
% 8.72/6.31 tff(18003,plain,
% 8.72/6.31 (v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18002, 375, 5032])).
% 8.72/6.31 tff(18004,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18005,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | ((~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18006,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB100, B) <=> v129(constB100, B)))) | (~less_3(bitIndex1)) | (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18005, 18004])).
% 8.72/6.31 tff(18007,plain,
% 8.72/6.31 (v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18006, 375, 17928])).
% 8.72/6.31 tff(18008,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18009,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | ((~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18010,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB100, B) <=> v127(constB99, B)))) | (~less_3(bitIndex1)) | (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18009, 18008])).
% 8.72/6.31 tff(18011,plain,
% 8.72/6.31 (v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18010, 375, 17936])).
% 8.72/6.31 tff(18012,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18013,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | ((~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18014,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB99, B) <=> v130(constB99, B)))) | (~less_3(bitIndex1)) | (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18013, 18012])).
% 8.72/6.31 tff(18015,plain,
% 8.72/6.31 (v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18014, 375, 17944])).
% 8.72/6.31 tff(18016,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b010(bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18017,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b010(bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18018,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB99, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB99, bitIndex1) <=> b010(bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18017, 18016])).
% 8.72/6.31 tff(18019,plain,
% 8.72/6.31 (v130(constB99, bitIndex1) <=> b010(bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18018, 375, 17953])).
% 8.72/6.31 tff(18020,plain,
% 8.72/6.31 ((~(v130(constB99, bitIndex1) <=> b010(bitIndex1))) | v130(constB99, bitIndex1) | (~b010(bitIndex1))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18021,plain,
% 8.72/6.31 ((~(v130(constB99, bitIndex1) <=> b010(bitIndex1))) | v130(constB99, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18020, 10107])).
% 8.72/6.31 tff(18022,plain,
% 8.72/6.31 (v130(constB99, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18021, 18019])).
% 8.72/6.31 tff(18023,plain,
% 8.72/6.31 ((~(v127(constB99, bitIndex1) <=> v130(constB99, bitIndex1))) | v127(constB99, bitIndex1) | (~v130(constB99, bitIndex1))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18024,plain,
% 8.72/6.31 (v127(constB99, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18023, 18022, 18015])).
% 8.72/6.31 tff(18025,plain,
% 8.72/6.31 ((~(v129(constB100, bitIndex1) <=> v127(constB99, bitIndex1))) | v129(constB100, bitIndex1) | (~v127(constB99, bitIndex1))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18026,plain,
% 8.72/6.31 (v129(constB100, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18025, 18024, 18011])).
% 8.72/6.31 tff(18027,plain,
% 8.72/6.31 ((~(v90(constB100, bitIndex1) <=> v129(constB100, bitIndex1))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18028,plain,
% 8.72/6.31 (v90(constB100, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18027, 18026, 18007])).
% 8.72/6.31 tff(18029,plain,
% 8.72/6.31 ((~(v90(constB101, bitIndex1) <=> v90(constB100, bitIndex1))) | v90(constB101, bitIndex1) | (~v90(constB100, bitIndex1))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18030,plain,
% 8.72/6.31 (v90(constB101, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18029, 18028, 18003])).
% 8.72/6.31 tff(18031,plain,
% 8.72/6.31 ((~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0)),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18032,plain,
% 8.72/6.31 (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18031, 18030, 17999, 17968])).
% 8.72/6.31 tff(18033,plain,
% 8.72/6.31 ((~(v121(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))))) | v121(constB101) | (v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex0))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18034,plain,
% 8.72/6.31 (v121(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18033, 18032, 5004])).
% 8.72/6.31 tff(18035,plain,
% 8.72/6.31 ((v118(constB101) | v121(constB101)) | (~v121(constB101))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18036,plain,
% 8.72/6.31 (v118(constB101) | v121(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18035, 18034])).
% 8.72/6.31 tff(18037,plain,
% 8.72/6.31 ((~(v117(constB101) <=> (v118(constB101) | v121(constB101)))) | v117(constB101) | (~(v118(constB101) | v121(constB101)))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18038,plain,
% 8.72/6.31 (v117(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18037, 18036, 4997])).
% 8.72/6.31 tff(18039,plain,
% 8.72/6.31 ((v117(constB101) | v122(constB101)) | (~v117(constB101))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18040,plain,
% 8.72/6.31 (v117(constB101) | v122(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18039, 18038])).
% 8.72/6.31 tff(18041,plain,
% 8.72/6.31 ((~(v116(constB101) <=> (v117(constB101) | v122(constB101)))) | v116(constB101) | (~(v117(constB101) | v122(constB101)))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18042,plain,
% 8.72/6.31 (v116(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18041, 18040, 4995])).
% 8.72/6.31 tff(18043,plain,
% 8.72/6.31 ((v116(constB101) | v123(constB101)) | (~v116(constB101))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18044,plain,
% 8.72/6.31 (v116(constB101) | v123(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18043, 18042])).
% 8.72/6.31 tff(18045,plain,
% 8.72/6.31 ((~(v115(constB101) <=> (v116(constB101) | v123(constB101)))) | v115(constB101) | (~(v116(constB101) | v123(constB101)))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18046,plain,
% 8.72/6.31 (v115(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18045, 18044, 4993])).
% 8.72/6.31 tff(18047,plain,
% 8.72/6.31 ((v115(constB101) | v124(constB101)) | (~v115(constB101))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18048,plain,
% 8.72/6.31 (v115(constB101) | v124(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18047, 18046])).
% 8.72/6.31 tff(18049,plain,
% 8.72/6.31 ((~(v114(constB101) <=> (v115(constB101) | v124(constB101)))) | v114(constB101) | (~(v115(constB101) | v124(constB101)))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18050,plain,
% 8.72/6.31 (v114(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18049, 18048, 4991])).
% 8.72/6.31 tff(18051,plain,
% 8.72/6.31 ((v114(constB101) | v125(constB101)) | (~v114(constB101))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18052,plain,
% 8.72/6.31 (v114(constB101) | v125(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18051, 18050])).
% 8.72/6.31 tff(18053,plain,
% 8.72/6.31 ((~(v113(constB101) <=> (v114(constB101) | v125(constB101)))) | v113(constB101) | (~(v114(constB101) | v125(constB101)))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18054,plain,
% 8.72/6.31 (v113(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18053, 18052, 4989])).
% 8.72/6.31 tff(18055,plain,
% 8.72/6.31 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB101)) <=> v111(constB101))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18056,plain,
% 8.72/6.31 ((~v126(constB101)) <=> v111(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18055, 9720])).
% 8.72/6.31 tff(18057,plain,
% 8.72/6.31 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB101) <=> v26(constB101))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18058,plain,
% 8.72/6.31 (v111(constB101) <=> v26(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18057, 9732])).
% 8.72/6.31 tff(18059,plain,
% 8.72/6.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18060,plain,
% 8.72/6.31 (~v26(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18059, 9744])).
% 8.72/6.31 tff(18061,plain,
% 8.72/6.31 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101)) | v26(constB101)),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18062,plain,
% 8.72/6.31 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18061, 18060])).
% 8.72/6.31 tff(18063,plain,
% 8.72/6.31 (~v111(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18062, 18058])).
% 8.72/6.31 tff(18064,plain,
% 8.72/6.31 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101) | v111(constB101)),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18065,plain,
% 8.72/6.31 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18064, 18063])).
% 8.72/6.31 tff(18066,plain,
% 8.72/6.31 (v126(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18065, 18056])).
% 8.72/6.31 tff(18067,plain,
% 8.72/6.31 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101)) | (~v126(constB101))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18068,plain,
% 8.72/6.31 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18067, 18066])).
% 8.72/6.31 tff(18069,plain,
% 8.72/6.31 (~((~v113(constB101)) | (~v126(constB101)))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18068, 18054])).
% 8.72/6.31 tff(18070,plain,
% 8.72/6.31 ((~(v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))) | v112(constB101) | ((~v113(constB101)) | (~v126(constB101)))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18071,plain,
% 8.72/6.31 (v112(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18070, 18069, 4987])).
% 8.72/6.31 tff(18072,plain,
% 8.72/6.31 ((v111(constB101) | v112(constB101)) | (~v112(constB101))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18073,plain,
% 8.72/6.31 (v111(constB101) | v112(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18072, 18071])).
% 8.72/6.31 tff(18074,plain,
% 8.72/6.31 ((~(v108(constB101) <=> (v111(constB101) | v112(constB101)))) | v108(constB101) | (~(v111(constB101) | v112(constB101)))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18075,plain,
% 8.72/6.31 (v108(constB101)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18074, 18073, 4985])).
% 8.72/6.31 tff(18076,plain,
% 8.72/6.31 ((~(v110(constB102) <=> v108(constB101))) | v110(constB102) | (~v108(constB101))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18077,plain,
% 8.72/6.31 (v110(constB102)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18076, 18075, 4983])).
% 8.72/6.31 tff(18078,plain,
% 8.72/6.31 ((~((~v101(constB102)) | (~v110(constB102)))) | (~v101(constB102)) | (~v110(constB102))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18079,plain,
% 8.72/6.31 (~((~v101(constB102)) | (~v110(constB102)))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18078, 18077, 4979])).
% 8.72/6.31 tff(18080,plain,
% 8.72/6.31 ((~(v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))) | v100(constB102) | ((~v101(constB102)) | (~v110(constB102)))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18081,plain,
% 8.72/6.31 (v100(constB102)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18080, 18079, 4948])).
% 8.72/6.31 tff(18082,plain,
% 8.72/6.31 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B))))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18083,plain,
% 8.72/6.31 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B))))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18084,plain,
% 8.72/6.31 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18083, 18082])).
% 8.72/6.31 tff(18085,plain,
% 8.72/6.31 ((~v100(constB102)) | ![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18084, 9780])).
% 8.72/6.31 tff(18086,plain,
% 8.72/6.31 (![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18085, 18081])).
% 8.72/6.31 tff(18087,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18088,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18089,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex2)) | (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18088, 18087])).
% 8.72/6.31 tff(18090,plain,
% 8.72/6.31 (v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18089, 648, 18086])).
% 8.72/6.31 tff(18091,plain,
% 8.72/6.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B))))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18092,plain,
% 8.72/6.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B))))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18093,plain,
% 8.72/6.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18092, 18091])).
% 8.72/6.31 tff(18094,plain,
% 8.72/6.31 (![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18093, 4944, 9802])).
% 8.72/6.31 tff(18095,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18096,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18097,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex2)) | (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18096, 18095])).
% 8.72/6.31 tff(18098,plain,
% 8.72/6.31 (v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18097, 648, 18094])).
% 8.72/6.31 tff(18099,plain,
% 8.72/6.31 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB101) | ![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB101) | ![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B))))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18100,plain,
% 8.72/6.31 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB101) | ![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B))))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18101,plain,
% 8.72/6.31 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB101) | ![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18100, 18099])).
% 8.72/6.31 tff(18102,plain,
% 8.72/6.31 (![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18101, 9823, 18063])).
% 8.72/6.31 tff(18103,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18104,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18105,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex2)) | (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18104, 18103])).
% 8.72/6.31 tff(18106,plain,
% 8.72/6.31 (v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18105, 648, 18102])).
% 8.72/6.31 tff(18107,plain,
% 8.72/6.31 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B))))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18108,plain,
% 8.72/6.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B))))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18109,plain,
% 8.72/6.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18108, 18107])).
% 8.72/6.31 tff(18110,plain,
% 8.72/6.31 ((~v121(constB101)) | ![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18109, 10207])).
% 8.72/6.31 tff(18111,plain,
% 8.72/6.31 (![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18110, 18034])).
% 8.72/6.31 tff(18112,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b011(bitIndex2)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18113,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b011(bitIndex2)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18114,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB101, bitIndex2) <=> b011(bitIndex2))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18113, 18112])).
% 8.72/6.31 tff(18115,plain,
% 8.72/6.31 (v130(constB101, bitIndex2) <=> b011(bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18114, 648, 18111])).
% 8.72/6.31 tff(18116,plain,
% 8.72/6.31 ((~(v130(constB101, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB101, bitIndex2)) | b011(bitIndex2)),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18117,plain,
% 8.72/6.31 ((~(v130(constB101, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB101, bitIndex2))),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18116, 10219])).
% 8.72/6.31 tff(18118,plain,
% 8.72/6.31 (~v130(constB101, bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18117, 18115])).
% 8.72/6.31 tff(18119,plain,
% 8.72/6.31 ((~(v127(constB101, bitIndex2) <=> v130(constB101, bitIndex2))) | (~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18120,plain,
% 8.72/6.31 (~v127(constB101, bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18119, 18118, 18106])).
% 8.72/6.31 tff(18121,plain,
% 8.72/6.31 ((~(v129(constB102, bitIndex2) <=> v127(constB101, bitIndex2))) | (~v129(constB102, bitIndex2)) | v127(constB101, bitIndex2)),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18122,plain,
% 8.72/6.31 (~v129(constB102, bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18121, 18120, 18098])).
% 8.72/6.31 tff(18123,plain,
% 8.72/6.31 ((~(v90(constB102, bitIndex2) <=> v129(constB102, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2)),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18124,plain,
% 8.72/6.31 (~v90(constB102, bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18123, 18122, 18090])).
% 8.72/6.31 tff(18125,plain,
% 8.72/6.31 ((~(v90(constB103, bitIndex2) <=> v90(constB102, bitIndex2))) | (~v90(constB103, bitIndex2)) | v90(constB102, bitIndex2)),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18126,plain,
% 8.72/6.31 (~v90(constB103, bitIndex2)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18125, 18124, 4941])).
% 8.72/6.31 tff(18127,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18128,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18129,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18128, 18127])).
% 8.72/6.31 tff(18130,plain,
% 8.72/6.31 (v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18129, 9653, 4937])).
% 8.72/6.31 tff(18131,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18132,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18133,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex0)) | (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18132, 18131])).
% 8.72/6.31 tff(18134,plain,
% 8.72/6.31 (v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18133, 9653, 18086])).
% 8.72/6.31 tff(18135,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18136,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18137,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex0)) | (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18136, 18135])).
% 8.72/6.31 tff(18138,plain,
% 8.72/6.31 (v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18137, 9653, 18094])).
% 8.72/6.31 tff(18139,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18140,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18141,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex0)) | (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18140, 18139])).
% 8.72/6.31 tff(18142,plain,
% 8.72/6.31 (v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18141, 9653, 18102])).
% 8.72/6.31 tff(18143,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b011(bitIndex0)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18144,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b011(bitIndex0)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18145,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB101, bitIndex0) <=> b011(bitIndex0))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18144, 18143])).
% 8.72/6.31 tff(18146,plain,
% 8.72/6.31 (v130(constB101, bitIndex0) <=> b011(bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18145, 9653, 18111])).
% 8.72/6.31 tff(18147,plain,
% 8.72/6.31 ((~(v130(constB101, bitIndex0) <=> b011(bitIndex0))) | v130(constB101, bitIndex0) | (~b011(bitIndex0))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18148,plain,
% 8.72/6.31 ((~(v130(constB101, bitIndex0) <=> b011(bitIndex0))) | v130(constB101, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18147, 10253])).
% 8.72/6.31 tff(18149,plain,
% 8.72/6.31 (v130(constB101, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18148, 18146])).
% 8.72/6.31 tff(18150,plain,
% 8.72/6.31 ((~(v127(constB101, bitIndex0) <=> v130(constB101, bitIndex0))) | v127(constB101, bitIndex0) | (~v130(constB101, bitIndex0))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18151,plain,
% 8.72/6.31 (v127(constB101, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18150, 18149, 18142])).
% 8.72/6.31 tff(18152,plain,
% 8.72/6.31 ((~(v129(constB102, bitIndex0) <=> v127(constB101, bitIndex0))) | v129(constB102, bitIndex0) | (~v127(constB101, bitIndex0))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18153,plain,
% 8.72/6.31 (v129(constB102, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18152, 18151, 18138])).
% 8.72/6.31 tff(18154,plain,
% 8.72/6.31 ((~(v90(constB102, bitIndex0) <=> v129(constB102, bitIndex0))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18155,plain,
% 8.72/6.31 (v90(constB102, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18154, 18153, 18134])).
% 8.72/6.31 tff(18156,plain,
% 8.72/6.31 ((~(v90(constB103, bitIndex0) <=> v90(constB102, bitIndex0))) | v90(constB103, bitIndex0) | (~v90(constB102, bitIndex0))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18157,plain,
% 8.72/6.31 (v90(constB103, bitIndex0)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18156, 18155, 18130])).
% 8.72/6.31 tff(18158,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18159,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18160,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB103, B) <=> v90(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18159, 18158])).
% 8.72/6.31 tff(18161,plain,
% 8.72/6.31 (v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18160, 375, 4937])).
% 8.72/6.31 tff(18162,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18163,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | ((~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18164,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v90(constB102, B) <=> v129(constB102, B)))) | (~less_3(bitIndex1)) | (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18163, 18162])).
% 8.72/6.31 tff(18165,plain,
% 8.72/6.31 (v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18164, 375, 18086])).
% 8.72/6.31 tff(18166,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18167,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | ((~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18168,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v129(constB102, B) <=> v127(constB101, B)))) | (~less_3(bitIndex1)) | (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 8.72/6.31 tff(18169,plain,
% 8.72/6.31 (v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18168, 375, 18094])).
% 8.72/6.31 tff(18170,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18171,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | ((~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18172,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v127(constB101, B) <=> v130(constB101, B)))) | (~less_3(bitIndex1)) | (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18171, 18170])).
% 8.72/6.31 tff(18173,plain,
% 8.72/6.31 (v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18172, 375, 18102])).
% 8.72/6.31 tff(18174,plain,
% 8.72/6.31 (((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b011(bitIndex1)))),
% 8.72/6.31 inference(rewrite,[status(thm)],[])).
% 8.72/6.31 tff(18175,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b011(bitIndex1)))),
% 8.72/6.31 inference(quant_inst,[status(thm)],[])).
% 8.72/6.31 tff(18176,plain,
% 8.72/6.31 ((~![B: $i] : ((~less_3(B)) | (v130(constB101, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB101, bitIndex1) <=> b011(bitIndex1))),
% 8.72/6.31 inference(modus_ponens,[status(thm)],[18175, 18174])).
% 8.72/6.31 tff(18177,plain,
% 8.72/6.31 (v130(constB101, bitIndex1) <=> b011(bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18176, 375, 18111])).
% 8.72/6.31 tff(18178,plain,
% 8.72/6.31 ((~(v130(constB101, bitIndex1) <=> b011(bitIndex1))) | v130(constB101, bitIndex1) | (~b011(bitIndex1))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18179,plain,
% 8.72/6.31 ((~(v130(constB101, bitIndex1) <=> b011(bitIndex1))) | v130(constB101, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18178, 10287])).
% 8.72/6.31 tff(18180,plain,
% 8.72/6.31 (v130(constB101, bitIndex1)),
% 8.72/6.31 inference(unit_resolution,[status(thm)],[18179, 18177])).
% 8.72/6.31 tff(18181,plain,
% 8.72/6.31 ((~(v127(constB101, bitIndex1) <=> v130(constB101, bitIndex1))) | v127(constB101, bitIndex1) | (~v130(constB101, bitIndex1))),
% 8.72/6.31 inference(tautology,[status(thm)],[])).
% 8.72/6.31 tff(18182,plain,
% 8.72/6.31 (v127(constB101, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18181, 18180, 18173])).
% 8.72/6.32 tff(18183,plain,
% 8.72/6.32 ((~(v129(constB102, bitIndex1) <=> v127(constB101, bitIndex1))) | v129(constB102, bitIndex1) | (~v127(constB101, bitIndex1))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18184,plain,
% 8.72/6.32 (v129(constB102, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18183, 18182, 18169])).
% 8.72/6.32 tff(18185,plain,
% 8.72/6.32 ((~(v90(constB102, bitIndex1) <=> v129(constB102, bitIndex1))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18186,plain,
% 8.72/6.32 (v90(constB102, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18185, 18184, 18165])).
% 8.72/6.32 tff(18187,plain,
% 8.72/6.32 ((~(v90(constB103, bitIndex1) <=> v90(constB102, bitIndex1))) | v90(constB103, bitIndex1) | (~v90(constB102, bitIndex1))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18188,plain,
% 8.72/6.32 (v90(constB103, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18187, 18186, 18161])).
% 8.72/6.32 tff(18189,plain,
% 8.72/6.32 ((~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))) | v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18190,plain,
% 8.72/6.32 (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18189, 18188, 18157, 18126])).
% 8.72/6.32 tff(18191,plain,
% 8.72/6.32 ((~(v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))) | v122(constB103) | (v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18192,plain,
% 8.72/6.32 (v122(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18191, 18190, 4909])).
% 8.72/6.32 tff(18193,plain,
% 8.72/6.32 ((v117(constB103) | v122(constB103)) | (~v122(constB103))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18194,plain,
% 8.72/6.32 (v117(constB103) | v122(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18193, 18192])).
% 8.72/6.32 tff(18195,plain,
% 8.72/6.32 ((~(v116(constB103) <=> (v117(constB103) | v122(constB103)))) | v116(constB103) | (~(v117(constB103) | v122(constB103)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18196,plain,
% 8.72/6.32 (v116(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18195, 18194, 4902])).
% 8.72/6.32 tff(18197,plain,
% 8.72/6.32 ((v116(constB103) | v123(constB103)) | (~v116(constB103))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18198,plain,
% 8.72/6.32 (v116(constB103) | v123(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18197, 18196])).
% 8.72/6.32 tff(18199,plain,
% 8.72/6.32 ((~(v115(constB103) <=> (v116(constB103) | v123(constB103)))) | v115(constB103) | (~(v116(constB103) | v123(constB103)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18200,plain,
% 8.72/6.32 (v115(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18199, 18198, 4900])).
% 8.72/6.32 tff(18201,plain,
% 8.72/6.32 ((v115(constB103) | v124(constB103)) | (~v115(constB103))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18202,plain,
% 8.72/6.32 (v115(constB103) | v124(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18201, 18200])).
% 8.72/6.32 tff(18203,plain,
% 8.72/6.32 ((~(v114(constB103) <=> (v115(constB103) | v124(constB103)))) | v114(constB103) | (~(v115(constB103) | v124(constB103)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18204,plain,
% 8.72/6.32 (v114(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18203, 18202, 4898])).
% 8.72/6.32 tff(18205,plain,
% 8.72/6.32 ((v114(constB103) | v125(constB103)) | (~v114(constB103))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18206,plain,
% 8.72/6.32 (v114(constB103) | v125(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18205, 18204])).
% 8.72/6.32 tff(18207,plain,
% 8.72/6.32 ((~(v113(constB103) <=> (v114(constB103) | v125(constB103)))) | v113(constB103) | (~(v114(constB103) | v125(constB103)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18208,plain,
% 8.72/6.32 (v113(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18207, 18206, 4896])).
% 8.72/6.32 tff(18209,plain,
% 8.72/6.32 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB103)) <=> v111(constB103))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18210,plain,
% 8.72/6.32 ((~v126(constB103)) <=> v111(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18209, 9720])).
% 8.72/6.32 tff(18211,plain,
% 8.72/6.32 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB103) <=> v26(constB103))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18212,plain,
% 8.72/6.32 (v111(constB103) <=> v26(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18211, 9732])).
% 8.72/6.32 tff(18213,plain,
% 8.72/6.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18214,plain,
% 8.72/6.32 (~v26(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18213, 9744])).
% 8.72/6.32 tff(18215,plain,
% 8.72/6.32 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103)) | v26(constB103)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18216,plain,
% 8.72/6.32 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18215, 18214])).
% 8.72/6.32 tff(18217,plain,
% 8.72/6.32 (~v111(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18216, 18212])).
% 8.72/6.32 tff(18218,plain,
% 8.72/6.32 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103) | v111(constB103)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18219,plain,
% 8.72/6.32 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18218, 18217])).
% 8.72/6.32 tff(18220,plain,
% 8.72/6.32 (v126(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18219, 18210])).
% 8.72/6.32 tff(18221,plain,
% 8.72/6.32 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103)) | (~v126(constB103))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18222,plain,
% 8.72/6.32 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18221, 18220])).
% 8.72/6.32 tff(18223,plain,
% 8.72/6.32 (~((~v113(constB103)) | (~v126(constB103)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18222, 18208])).
% 8.72/6.32 tff(18224,plain,
% 8.72/6.32 ((~(v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))) | v112(constB103) | ((~v113(constB103)) | (~v126(constB103)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18225,plain,
% 8.72/6.32 (v112(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18224, 18223, 4894])).
% 8.72/6.32 tff(18226,plain,
% 8.72/6.32 ((v111(constB103) | v112(constB103)) | (~v112(constB103))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18227,plain,
% 8.72/6.32 (v111(constB103) | v112(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18226, 18225])).
% 8.72/6.32 tff(18228,plain,
% 8.72/6.32 ((~(v108(constB103) <=> (v111(constB103) | v112(constB103)))) | v108(constB103) | (~(v111(constB103) | v112(constB103)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18229,plain,
% 8.72/6.32 (v108(constB103)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18228, 18227, 4892])).
% 8.72/6.32 tff(18230,plain,
% 8.72/6.32 ((~(v110(constB104) <=> v108(constB103))) | v110(constB104) | (~v108(constB103))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18231,plain,
% 8.72/6.32 (v110(constB104)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18230, 18229, 4890])).
% 8.72/6.32 tff(18232,plain,
% 8.72/6.32 ((~((~v101(constB104)) | (~v110(constB104)))) | (~v101(constB104)) | (~v110(constB104))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18233,plain,
% 8.72/6.32 (~((~v101(constB104)) | (~v110(constB104)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18232, 18231, 4886])).
% 8.72/6.32 tff(18234,plain,
% 8.72/6.32 ((~(v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))) | v100(constB104) | ((~v101(constB104)) | (~v110(constB104)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18235,plain,
% 8.72/6.32 (v100(constB104)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18234, 18233, 4855])).
% 8.72/6.32 tff(18236,plain,
% 8.72/6.32 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B))))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18237,plain,
% 8.72/6.32 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B))))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18238,plain,
% 8.72/6.32 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18237, 18236])).
% 8.72/6.32 tff(18239,plain,
% 8.72/6.32 ((~v100(constB104)) | ![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18238, 9780])).
% 8.72/6.32 tff(18240,plain,
% 8.72/6.32 (![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18239, 18235])).
% 8.72/6.32 tff(18241,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18242,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18243,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex2)) | (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18242, 18241])).
% 8.72/6.32 tff(18244,plain,
% 8.72/6.32 (v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18243, 648, 18240])).
% 8.72/6.32 tff(18245,plain,
% 8.72/6.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B))))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18246,plain,
% 8.72/6.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B))))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18247,plain,
% 8.72/6.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18246, 18245])).
% 8.72/6.32 tff(18248,plain,
% 8.72/6.32 (![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18247, 4851, 9802])).
% 8.72/6.32 tff(18249,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18250,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18251,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex2)) | (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 8.72/6.32 tff(18252,plain,
% 8.72/6.32 (v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18251, 648, 18248])).
% 8.72/6.32 tff(18253,plain,
% 8.72/6.32 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB103) | ![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB103) | ![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B))))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18254,plain,
% 8.72/6.32 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB103) | ![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B))))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18255,plain,
% 8.72/6.32 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB103) | ![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18254, 18253])).
% 8.72/6.32 tff(18256,plain,
% 8.72/6.32 (![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18255, 9823, 18217])).
% 8.72/6.32 tff(18257,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18258,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18259,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex2)) | (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18258, 18257])).
% 8.72/6.32 tff(18260,plain,
% 8.72/6.32 (v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18259, 648, 18256])).
% 8.72/6.32 tff(18261,plain,
% 8.72/6.32 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B))))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18262,plain,
% 8.72/6.32 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B))))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18263,plain,
% 8.72/6.32 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18262, 18261])).
% 8.72/6.32 tff(18264,plain,
% 8.72/6.32 ((~v122(constB103)) | ![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18263, 10383])).
% 8.72/6.32 tff(18265,plain,
% 8.72/6.32 (![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18264, 18192])).
% 8.72/6.32 tff(18266,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b100(bitIndex2)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18267,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b100(bitIndex2)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18268,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB103, bitIndex2) <=> b100(bitIndex2))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18267, 18266])).
% 8.72/6.32 tff(18269,plain,
% 8.72/6.32 (v130(constB103, bitIndex2) <=> b100(bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18268, 648, 18265])).
% 8.72/6.32 tff(18270,plain,
% 8.72/6.32 ((~(v130(constB103, bitIndex2) <=> b100(bitIndex2))) | v130(constB103, bitIndex2) | (~b100(bitIndex2))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18271,plain,
% 8.72/6.32 ((~(v130(constB103, bitIndex2) <=> b100(bitIndex2))) | v130(constB103, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18270, 10395])).
% 8.72/6.32 tff(18272,plain,
% 8.72/6.32 (v130(constB103, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18271, 18269])).
% 8.72/6.32 tff(18273,plain,
% 8.72/6.32 ((~(v127(constB103, bitIndex2) <=> v130(constB103, bitIndex2))) | v127(constB103, bitIndex2) | (~v130(constB103, bitIndex2))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18274,plain,
% 8.72/6.32 (v127(constB103, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18273, 18272, 18260])).
% 8.72/6.32 tff(18275,plain,
% 8.72/6.32 ((~(v129(constB104, bitIndex2) <=> v127(constB103, bitIndex2))) | v129(constB104, bitIndex2) | (~v127(constB103, bitIndex2))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18276,plain,
% 8.72/6.32 (v129(constB104, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18275, 18274, 18252])).
% 8.72/6.32 tff(18277,plain,
% 8.72/6.32 ((~(v90(constB104, bitIndex2) <=> v129(constB104, bitIndex2))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18278,plain,
% 8.72/6.32 (v90(constB104, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18277, 18276, 18244])).
% 8.72/6.32 tff(18279,plain,
% 8.72/6.32 ((~(v90(constB105, bitIndex2) <=> v90(constB104, bitIndex2))) | v90(constB105, bitIndex2) | (~v90(constB104, bitIndex2))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18280,plain,
% 8.72/6.32 (v90(constB105, bitIndex2)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18279, 18278, 4848])).
% 8.72/6.32 tff(18281,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18282,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18283,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18282, 18281])).
% 8.72/6.32 tff(18284,plain,
% 8.72/6.32 (v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18283, 9653, 4844])).
% 8.72/6.32 tff(18285,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18286,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18287,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex0)) | (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18286, 18285])).
% 8.72/6.32 tff(18288,plain,
% 8.72/6.32 (v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18287, 9653, 18240])).
% 8.72/6.32 tff(18289,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18290,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18291,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex0)) | (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18290, 18289])).
% 8.72/6.32 tff(18292,plain,
% 8.72/6.32 (v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18291, 9653, 18248])).
% 8.72/6.32 tff(18293,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18294,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18295,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex0)) | (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18294, 18293])).
% 8.72/6.32 tff(18296,plain,
% 8.72/6.32 (v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18295, 9653, 18256])).
% 8.72/6.32 tff(18297,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b100(bitIndex0)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18298,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b100(bitIndex0)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18299,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB103, bitIndex0) <=> b100(bitIndex0))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18298, 18297])).
% 8.72/6.32 tff(18300,plain,
% 8.72/6.32 (v130(constB103, bitIndex0) <=> b100(bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18299, 9653, 18265])).
% 8.72/6.32 tff(18301,plain,
% 8.72/6.32 ((~(v130(constB103, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB103, bitIndex0)) | b100(bitIndex0)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18302,plain,
% 8.72/6.32 ((~(v130(constB103, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB103, bitIndex0))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18301, 10429])).
% 8.72/6.32 tff(18303,plain,
% 8.72/6.32 (~v130(constB103, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18302, 18300])).
% 8.72/6.32 tff(18304,plain,
% 8.72/6.32 ((~(v127(constB103, bitIndex0) <=> v130(constB103, bitIndex0))) | (~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18305,plain,
% 8.72/6.32 (~v127(constB103, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18304, 18303, 18296])).
% 8.72/6.32 tff(18306,plain,
% 8.72/6.32 ((~(v129(constB104, bitIndex0) <=> v127(constB103, bitIndex0))) | (~v129(constB104, bitIndex0)) | v127(constB103, bitIndex0)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18307,plain,
% 8.72/6.32 (~v129(constB104, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18306, 18305, 18292])).
% 8.72/6.32 tff(18308,plain,
% 8.72/6.32 ((~(v90(constB104, bitIndex0) <=> v129(constB104, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18309,plain,
% 8.72/6.32 (~v90(constB104, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18308, 18307, 18288])).
% 8.72/6.32 tff(18310,plain,
% 8.72/6.32 ((~(v90(constB105, bitIndex0) <=> v90(constB104, bitIndex0))) | (~v90(constB105, bitIndex0)) | v90(constB104, bitIndex0)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18311,plain,
% 8.72/6.32 (~v90(constB105, bitIndex0)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18310, 18309, 18284])).
% 8.72/6.32 tff(18312,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18313,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18314,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB105, B) <=> v90(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18313, 18312])).
% 8.72/6.32 tff(18315,plain,
% 8.72/6.32 (v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18314, 375, 4844])).
% 8.72/6.32 tff(18316,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18317,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | ((~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18318,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v90(constB104, B) <=> v129(constB104, B)))) | (~less_3(bitIndex1)) | (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18317, 18316])).
% 8.72/6.32 tff(18319,plain,
% 8.72/6.32 (v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18318, 375, 18240])).
% 8.72/6.32 tff(18320,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18321,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | ((~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18322,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v129(constB104, B) <=> v127(constB103, B)))) | (~less_3(bitIndex1)) | (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18321, 18320])).
% 8.72/6.32 tff(18323,plain,
% 8.72/6.32 (v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18322, 375, 18248])).
% 8.72/6.32 tff(18324,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18325,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | ((~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18326,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v127(constB103, B) <=> v130(constB103, B)))) | (~less_3(bitIndex1)) | (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18325, 18324])).
% 8.72/6.32 tff(18327,plain,
% 8.72/6.32 (v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18326, 375, 18256])).
% 8.72/6.32 tff(18328,plain,
% 8.72/6.32 (((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b100(bitIndex1)))),
% 8.72/6.32 inference(rewrite,[status(thm)],[])).
% 8.72/6.32 tff(18329,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b100(bitIndex1)))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18330,plain,
% 8.72/6.32 ((~![B: $i] : ((~less_3(B)) | (v130(constB103, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB103, bitIndex1) <=> b100(bitIndex1))),
% 8.72/6.32 inference(modus_ponens,[status(thm)],[18329, 18328])).
% 8.72/6.32 tff(18331,plain,
% 8.72/6.32 (v130(constB103, bitIndex1) <=> b100(bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18330, 375, 18265])).
% 8.72/6.32 tff(18332,plain,
% 8.72/6.32 ((~(v130(constB103, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB103, bitIndex1)) | b100(bitIndex1)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18333,plain,
% 8.72/6.32 ((~(v130(constB103, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB103, bitIndex1))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18332, 10463])).
% 8.72/6.32 tff(18334,plain,
% 8.72/6.32 (~v130(constB103, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18333, 18331])).
% 8.72/6.32 tff(18335,plain,
% 8.72/6.32 ((~(v127(constB103, bitIndex1) <=> v130(constB103, bitIndex1))) | (~v127(constB103, bitIndex1)) | v130(constB103, bitIndex1)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18336,plain,
% 8.72/6.32 (~v127(constB103, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18335, 18334, 18327])).
% 8.72/6.32 tff(18337,plain,
% 8.72/6.32 ((~(v129(constB104, bitIndex1) <=> v127(constB103, bitIndex1))) | (~v129(constB104, bitIndex1)) | v127(constB103, bitIndex1)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18338,plain,
% 8.72/6.32 (~v129(constB104, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18337, 18336, 18323])).
% 8.72/6.32 tff(18339,plain,
% 8.72/6.32 ((~(v90(constB104, bitIndex1) <=> v129(constB104, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18340,plain,
% 8.72/6.32 (~v90(constB104, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18339, 18338, 18319])).
% 8.72/6.32 tff(18341,plain,
% 8.72/6.32 ((~(v90(constB105, bitIndex1) <=> v90(constB104, bitIndex1))) | (~v90(constB105, bitIndex1)) | v90(constB104, bitIndex1)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18342,plain,
% 8.72/6.32 (~v90(constB105, bitIndex1)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18341, 18340, 18315])).
% 8.72/6.32 tff(18343,plain,
% 8.72/6.32 ((~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18344,plain,
% 8.72/6.32 (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18343, 18342, 18311, 18280])).
% 8.72/6.32 tff(18345,plain,
% 8.72/6.32 ((~(v123(constB105) <=> (~((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))))) | v123(constB105) | ((~v90(constB105, bitIndex2)) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18346,plain,
% 8.72/6.32 (v123(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18345, 18344, 4816])).
% 8.72/6.32 tff(18347,plain,
% 8.72/6.32 ((v116(constB105) | v123(constB105)) | (~v123(constB105))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18348,plain,
% 8.72/6.32 (v116(constB105) | v123(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18347, 18346])).
% 8.72/6.32 tff(18349,plain,
% 8.72/6.32 ((~(v115(constB105) <=> (v116(constB105) | v123(constB105)))) | v115(constB105) | (~(v116(constB105) | v123(constB105)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18350,plain,
% 8.72/6.32 (v115(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18349, 18348, 4809])).
% 8.72/6.32 tff(18351,plain,
% 8.72/6.32 ((v115(constB105) | v124(constB105)) | (~v115(constB105))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18352,plain,
% 8.72/6.32 (v115(constB105) | v124(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18351, 18350])).
% 8.72/6.32 tff(18353,plain,
% 8.72/6.32 ((~(v114(constB105) <=> (v115(constB105) | v124(constB105)))) | v114(constB105) | (~(v115(constB105) | v124(constB105)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18354,plain,
% 8.72/6.32 (v114(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18353, 18352, 4807])).
% 8.72/6.32 tff(18355,plain,
% 8.72/6.32 ((v114(constB105) | v125(constB105)) | (~v114(constB105))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18356,plain,
% 8.72/6.32 (v114(constB105) | v125(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18355, 18354])).
% 8.72/6.32 tff(18357,plain,
% 8.72/6.32 ((~(v113(constB105) <=> (v114(constB105) | v125(constB105)))) | v113(constB105) | (~(v114(constB105) | v125(constB105)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18358,plain,
% 8.72/6.32 (v113(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18357, 18356, 4805])).
% 8.72/6.32 tff(18359,plain,
% 8.72/6.32 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB105)) <=> v111(constB105))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18360,plain,
% 8.72/6.32 ((~v126(constB105)) <=> v111(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18359, 9720])).
% 8.72/6.32 tff(18361,plain,
% 8.72/6.32 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB105) <=> v26(constB105))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18362,plain,
% 8.72/6.32 (v111(constB105) <=> v26(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18361, 9732])).
% 8.72/6.32 tff(18363,plain,
% 8.72/6.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 8.72/6.32 inference(quant_inst,[status(thm)],[])).
% 8.72/6.32 tff(18364,plain,
% 8.72/6.32 (~v26(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18363, 9744])).
% 8.72/6.32 tff(18365,plain,
% 8.72/6.32 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105)) | v26(constB105)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18366,plain,
% 8.72/6.32 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18365, 18364])).
% 8.72/6.32 tff(18367,plain,
% 8.72/6.32 (~v111(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18366, 18362])).
% 8.72/6.32 tff(18368,plain,
% 8.72/6.32 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105) | v111(constB105)),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18369,plain,
% 8.72/6.32 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18368, 18367])).
% 8.72/6.32 tff(18370,plain,
% 8.72/6.32 (v126(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18369, 18360])).
% 8.72/6.32 tff(18371,plain,
% 8.72/6.32 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105)) | (~v126(constB105))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18372,plain,
% 8.72/6.32 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18371, 18370])).
% 8.72/6.32 tff(18373,plain,
% 8.72/6.32 (~((~v113(constB105)) | (~v126(constB105)))),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18372, 18358])).
% 8.72/6.32 tff(18374,plain,
% 8.72/6.32 ((~(v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))) | v112(constB105) | ((~v113(constB105)) | (~v126(constB105)))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.32 tff(18375,plain,
% 8.72/6.32 (v112(constB105)),
% 8.72/6.32 inference(unit_resolution,[status(thm)],[18374, 18373, 4803])).
% 8.72/6.32 tff(18376,plain,
% 8.72/6.32 ((v111(constB105) | v112(constB105)) | (~v112(constB105))),
% 8.72/6.32 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18377,plain,
% 8.72/6.33 (v111(constB105) | v112(constB105)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18376, 18375])).
% 8.72/6.33 tff(18378,plain,
% 8.72/6.33 ((~(v108(constB105) <=> (v111(constB105) | v112(constB105)))) | v108(constB105) | (~(v111(constB105) | v112(constB105)))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18379,plain,
% 8.72/6.33 (v108(constB105)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18378, 18377, 4801])).
% 8.72/6.33 tff(18380,plain,
% 8.72/6.33 ((~(v110(constB106) <=> v108(constB105))) | v110(constB106) | (~v108(constB105))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18381,plain,
% 8.72/6.33 (v110(constB106)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18380, 18379, 4799])).
% 8.72/6.33 tff(18382,plain,
% 8.72/6.33 ((~((~v101(constB106)) | (~v110(constB106)))) | (~v101(constB106)) | (~v110(constB106))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18383,plain,
% 8.72/6.33 (~((~v101(constB106)) | (~v110(constB106)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18382, 18381, 4795])).
% 8.72/6.33 tff(18384,plain,
% 8.72/6.33 ((~(v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))) | v100(constB106) | ((~v101(constB106)) | (~v110(constB106)))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18385,plain,
% 8.72/6.33 (v100(constB106)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18384, 18383, 4764])).
% 8.72/6.33 tff(18386,plain,
% 8.72/6.33 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B))))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18387,plain,
% 8.72/6.33 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B))))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18388,plain,
% 8.72/6.33 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18387, 18386])).
% 8.72/6.33 tff(18389,plain,
% 8.72/6.33 ((~v100(constB106)) | ![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18388, 9780])).
% 8.72/6.33 tff(18390,plain,
% 8.72/6.33 (![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18389, 18385])).
% 8.72/6.33 tff(18391,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18392,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18393,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex2)) | (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 8.72/6.33 tff(18394,plain,
% 8.72/6.33 (v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18393, 648, 18390])).
% 8.72/6.33 tff(18395,plain,
% 8.72/6.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B))))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18396,plain,
% 8.72/6.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B))))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18397,plain,
% 8.72/6.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18396, 18395])).
% 8.72/6.33 tff(18398,plain,
% 8.72/6.33 (![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18397, 4760, 9802])).
% 8.72/6.33 tff(18399,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18400,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18401,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex2)) | (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18400, 18399])).
% 8.72/6.33 tff(18402,plain,
% 8.72/6.33 (v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18401, 648, 18398])).
% 8.72/6.33 tff(18403,plain,
% 8.72/6.33 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB105) | ![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB105) | ![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B))))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18404,plain,
% 8.72/6.33 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB105) | ![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B))))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18405,plain,
% 8.72/6.33 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB105) | ![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18404, 18403])).
% 8.72/6.33 tff(18406,plain,
% 8.72/6.33 (![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18405, 9823, 18367])).
% 8.72/6.33 tff(18407,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18408,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18409,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex2)) | (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18408, 18407])).
% 8.72/6.33 tff(18410,plain,
% 8.72/6.33 (v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18409, 648, 18406])).
% 8.72/6.33 tff(18411,plain,
% 8.72/6.33 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB105)) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB105)) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B))))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18412,plain,
% 8.72/6.33 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB105)) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B))))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18413,plain,
% 8.72/6.33 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB105)) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 8.72/6.33 tff(18414,plain,
% 8.72/6.33 ((~v123(constB105)) | ![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18413, 10555])).
% 8.72/6.33 tff(18415,plain,
% 8.72/6.33 (![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18414, 18346])).
% 8.72/6.33 tff(18416,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b101(bitIndex2)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18417,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b101(bitIndex2)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18418,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB105, bitIndex2) <=> b101(bitIndex2))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18417, 18416])).
% 8.72/6.33 tff(18419,plain,
% 8.72/6.33 (v130(constB105, bitIndex2) <=> b101(bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18418, 648, 18415])).
% 8.72/6.33 tff(18420,plain,
% 8.72/6.33 ((~(v130(constB105, bitIndex2) <=> b101(bitIndex2))) | v130(constB105, bitIndex2) | (~b101(bitIndex2))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18421,plain,
% 8.72/6.33 ((~(v130(constB105, bitIndex2) <=> b101(bitIndex2))) | v130(constB105, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18420, 10567])).
% 8.72/6.33 tff(18422,plain,
% 8.72/6.33 (v130(constB105, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18421, 18419])).
% 8.72/6.33 tff(18423,plain,
% 8.72/6.33 ((~(v127(constB105, bitIndex2) <=> v130(constB105, bitIndex2))) | v127(constB105, bitIndex2) | (~v130(constB105, bitIndex2))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18424,plain,
% 8.72/6.33 (v127(constB105, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18423, 18422, 18410])).
% 8.72/6.33 tff(18425,plain,
% 8.72/6.33 ((~(v129(constB106, bitIndex2) <=> v127(constB105, bitIndex2))) | v129(constB106, bitIndex2) | (~v127(constB105, bitIndex2))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18426,plain,
% 8.72/6.33 (v129(constB106, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18425, 18424, 18402])).
% 8.72/6.33 tff(18427,plain,
% 8.72/6.33 ((~(v90(constB106, bitIndex2) <=> v129(constB106, bitIndex2))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18428,plain,
% 8.72/6.33 (v90(constB106, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18427, 18426, 18394])).
% 8.72/6.33 tff(18429,plain,
% 8.72/6.33 ((~(v90(constB107, bitIndex2) <=> v90(constB106, bitIndex2))) | v90(constB107, bitIndex2) | (~v90(constB106, bitIndex2))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18430,plain,
% 8.72/6.33 (v90(constB107, bitIndex2)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18429, 18428, 4757])).
% 8.72/6.33 tff(18431,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18432,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18433,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18432, 18431])).
% 8.72/6.33 tff(18434,plain,
% 8.72/6.33 (v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18433, 9653, 4753])).
% 8.72/6.33 tff(18435,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18436,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18437,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex0)) | (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18436, 18435])).
% 8.72/6.33 tff(18438,plain,
% 8.72/6.33 (v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18437, 9653, 18390])).
% 8.72/6.33 tff(18439,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18440,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18441,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex0)) | (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18440, 18439])).
% 8.72/6.33 tff(18442,plain,
% 8.72/6.33 (v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18441, 9653, 18398])).
% 8.72/6.33 tff(18443,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18444,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18445,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex0)) | (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18444, 18443])).
% 8.72/6.33 tff(18446,plain,
% 8.72/6.33 (v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18445, 9653, 18406])).
% 8.72/6.33 tff(18447,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b101(bitIndex0)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18448,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b101(bitIndex0)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18449,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB105, bitIndex0) <=> b101(bitIndex0))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 8.72/6.33 tff(18450,plain,
% 8.72/6.33 (v130(constB105, bitIndex0) <=> b101(bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18449, 9653, 18415])).
% 8.72/6.33 tff(18451,plain,
% 8.72/6.33 ((~(v130(constB105, bitIndex0) <=> b101(bitIndex0))) | v130(constB105, bitIndex0) | (~b101(bitIndex0))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18452,plain,
% 8.72/6.33 ((~(v130(constB105, bitIndex0) <=> b101(bitIndex0))) | v130(constB105, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18451, 10601])).
% 8.72/6.33 tff(18453,plain,
% 8.72/6.33 (v130(constB105, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18452, 18450])).
% 8.72/6.33 tff(18454,plain,
% 8.72/6.33 ((~(v127(constB105, bitIndex0) <=> v130(constB105, bitIndex0))) | v127(constB105, bitIndex0) | (~v130(constB105, bitIndex0))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18455,plain,
% 8.72/6.33 (v127(constB105, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18454, 18453, 18446])).
% 8.72/6.33 tff(18456,plain,
% 8.72/6.33 ((~(v129(constB106, bitIndex0) <=> v127(constB105, bitIndex0))) | v129(constB106, bitIndex0) | (~v127(constB105, bitIndex0))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18457,plain,
% 8.72/6.33 (v129(constB106, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18456, 18455, 18442])).
% 8.72/6.33 tff(18458,plain,
% 8.72/6.33 ((~(v90(constB106, bitIndex0) <=> v129(constB106, bitIndex0))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18459,plain,
% 8.72/6.33 (v90(constB106, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18458, 18457, 18438])).
% 8.72/6.33 tff(18460,plain,
% 8.72/6.33 ((~(v90(constB107, bitIndex0) <=> v90(constB106, bitIndex0))) | v90(constB107, bitIndex0) | (~v90(constB106, bitIndex0))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18461,plain,
% 8.72/6.33 (v90(constB107, bitIndex0)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18460, 18459, 18434])).
% 8.72/6.33 tff(18462,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18463,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18464,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB107, B) <=> v90(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18463, 18462])).
% 8.72/6.33 tff(18465,plain,
% 8.72/6.33 (v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18464, 375, 4753])).
% 8.72/6.33 tff(18466,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18467,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | ((~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18468,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v90(constB106, B) <=> v129(constB106, B)))) | (~less_3(bitIndex1)) | (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18467, 18466])).
% 8.72/6.33 tff(18469,plain,
% 8.72/6.33 (v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18468, 375, 18390])).
% 8.72/6.33 tff(18470,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18471,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | ((~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18472,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v129(constB106, B) <=> v127(constB105, B)))) | (~less_3(bitIndex1)) | (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18471, 18470])).
% 8.72/6.33 tff(18473,plain,
% 8.72/6.33 (v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18472, 375, 18398])).
% 8.72/6.33 tff(18474,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18475,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | ((~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18476,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v127(constB105, B) <=> v130(constB105, B)))) | (~less_3(bitIndex1)) | (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 8.72/6.33 tff(18477,plain,
% 8.72/6.33 (v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18476, 375, 18406])).
% 8.72/6.33 tff(18478,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b101(bitIndex1)))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18479,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b101(bitIndex1)))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18480,plain,
% 8.72/6.33 ((~![B: $i] : ((~less_3(B)) | (v130(constB105, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB105, bitIndex1) <=> b101(bitIndex1))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18479, 18478])).
% 8.72/6.33 tff(18481,plain,
% 8.72/6.33 (v130(constB105, bitIndex1) <=> b101(bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18480, 375, 18415])).
% 8.72/6.33 tff(18482,plain,
% 8.72/6.33 ((~(v130(constB105, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB105, bitIndex1)) | b101(bitIndex1)),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18483,plain,
% 8.72/6.33 ((~(v130(constB105, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB105, bitIndex1))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18482, 10635])).
% 8.72/6.33 tff(18484,plain,
% 8.72/6.33 (~v130(constB105, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18483, 18481])).
% 8.72/6.33 tff(18485,plain,
% 8.72/6.33 ((~(v127(constB105, bitIndex1) <=> v130(constB105, bitIndex1))) | (~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18486,plain,
% 8.72/6.33 (~v127(constB105, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18485, 18484, 18477])).
% 8.72/6.33 tff(18487,plain,
% 8.72/6.33 ((~(v129(constB106, bitIndex1) <=> v127(constB105, bitIndex1))) | (~v129(constB106, bitIndex1)) | v127(constB105, bitIndex1)),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18488,plain,
% 8.72/6.33 (~v129(constB106, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18487, 18486, 18473])).
% 8.72/6.33 tff(18489,plain,
% 8.72/6.33 ((~(v90(constB106, bitIndex1) <=> v129(constB106, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1)),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18490,plain,
% 8.72/6.33 (~v90(constB106, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18489, 18488, 18469])).
% 8.72/6.33 tff(18491,plain,
% 8.72/6.33 ((~(v90(constB107, bitIndex1) <=> v90(constB106, bitIndex1))) | (~v90(constB107, bitIndex1)) | v90(constB106, bitIndex1)),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18492,plain,
% 8.72/6.33 (~v90(constB107, bitIndex1)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18491, 18490, 18465])).
% 8.72/6.33 tff(18493,plain,
% 8.72/6.33 ((~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))) | (~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18494,plain,
% 8.72/6.33 (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18493, 18492, 18461, 18430])).
% 8.72/6.33 tff(18495,plain,
% 8.72/6.33 ((~(v124(constB107) <=> (~((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))))) | v124(constB107) | ((~v90(constB107, bitIndex2)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18496,plain,
% 8.72/6.33 (v124(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18495, 18494, 4725])).
% 8.72/6.33 tff(18497,plain,
% 8.72/6.33 ((v115(constB107) | v124(constB107)) | (~v124(constB107))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18498,plain,
% 8.72/6.33 (v115(constB107) | v124(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18497, 18496])).
% 8.72/6.33 tff(18499,plain,
% 8.72/6.33 ((~(v114(constB107) <=> (v115(constB107) | v124(constB107)))) | v114(constB107) | (~(v115(constB107) | v124(constB107)))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18500,plain,
% 8.72/6.33 (v114(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18499, 18498, 4718])).
% 8.72/6.33 tff(18501,plain,
% 8.72/6.33 ((v114(constB107) | v125(constB107)) | (~v114(constB107))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18502,plain,
% 8.72/6.33 (v114(constB107) | v125(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18501, 18500])).
% 8.72/6.33 tff(18503,plain,
% 8.72/6.33 ((~(v113(constB107) <=> (v114(constB107) | v125(constB107)))) | v113(constB107) | (~(v114(constB107) | v125(constB107)))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18504,plain,
% 8.72/6.33 (v113(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18503, 18502, 4716])).
% 8.72/6.33 tff(18505,plain,
% 8.72/6.33 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB107)) <=> v111(constB107))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18506,plain,
% 8.72/6.33 ((~v126(constB107)) <=> v111(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18505, 9720])).
% 8.72/6.33 tff(18507,plain,
% 8.72/6.33 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB107) <=> v26(constB107))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18508,plain,
% 8.72/6.33 (v111(constB107) <=> v26(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18507, 9732])).
% 8.72/6.33 tff(18509,plain,
% 8.72/6.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18510,plain,
% 8.72/6.33 (~v26(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18509, 9744])).
% 8.72/6.33 tff(18511,plain,
% 8.72/6.33 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107)) | v26(constB107)),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18512,plain,
% 8.72/6.33 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18511, 18510])).
% 8.72/6.33 tff(18513,plain,
% 8.72/6.33 (~v111(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18512, 18508])).
% 8.72/6.33 tff(18514,plain,
% 8.72/6.33 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107) | v111(constB107)),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18515,plain,
% 8.72/6.33 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18514, 18513])).
% 8.72/6.33 tff(18516,plain,
% 8.72/6.33 (v126(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18515, 18506])).
% 8.72/6.33 tff(18517,plain,
% 8.72/6.33 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107)) | (~v126(constB107))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18518,plain,
% 8.72/6.33 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18517, 18516])).
% 8.72/6.33 tff(18519,plain,
% 8.72/6.33 (~((~v113(constB107)) | (~v126(constB107)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18518, 18504])).
% 8.72/6.33 tff(18520,plain,
% 8.72/6.33 ((~(v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))) | v112(constB107) | ((~v113(constB107)) | (~v126(constB107)))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18521,plain,
% 8.72/6.33 (v112(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18520, 18519, 4714])).
% 8.72/6.33 tff(18522,plain,
% 8.72/6.33 ((v111(constB107) | v112(constB107)) | (~v112(constB107))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18523,plain,
% 8.72/6.33 (v111(constB107) | v112(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18522, 18521])).
% 8.72/6.33 tff(18524,plain,
% 8.72/6.33 ((~(v108(constB107) <=> (v111(constB107) | v112(constB107)))) | v108(constB107) | (~(v111(constB107) | v112(constB107)))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18525,plain,
% 8.72/6.33 (v108(constB107)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18524, 18523, 4712])).
% 8.72/6.33 tff(18526,plain,
% 8.72/6.33 ((~(v110(constB108) <=> v108(constB107))) | v110(constB108) | (~v108(constB107))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18527,plain,
% 8.72/6.33 (v110(constB108)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18526, 18525, 4710])).
% 8.72/6.33 tff(18528,plain,
% 8.72/6.33 ((~((~v101(constB108)) | (~v110(constB108)))) | (~v101(constB108)) | (~v110(constB108))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18529,plain,
% 8.72/6.33 (~((~v101(constB108)) | (~v110(constB108)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18528, 18527, 4706])).
% 8.72/6.33 tff(18530,plain,
% 8.72/6.33 ((~(v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))) | v100(constB108) | ((~v101(constB108)) | (~v110(constB108)))),
% 8.72/6.33 inference(tautology,[status(thm)],[])).
% 8.72/6.33 tff(18531,plain,
% 8.72/6.33 (v100(constB108)),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18530, 18529, 4675])).
% 8.72/6.33 tff(18532,plain,
% 8.72/6.33 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B))))),
% 8.72/6.33 inference(rewrite,[status(thm)],[])).
% 8.72/6.33 tff(18533,plain,
% 8.72/6.33 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B))))),
% 8.72/6.33 inference(quant_inst,[status(thm)],[])).
% 8.72/6.33 tff(18534,plain,
% 8.72/6.33 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))),
% 8.72/6.33 inference(modus_ponens,[status(thm)],[18533, 18532])).
% 8.72/6.33 tff(18535,plain,
% 8.72/6.33 ((~v100(constB108)) | ![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18534, 9780])).
% 8.72/6.33 tff(18536,plain,
% 8.72/6.33 (![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))),
% 8.72/6.33 inference(unit_resolution,[status(thm)],[18535, 18531])).
% 8.72/6.33 tff(18537,plain,
% 8.72/6.33 (((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18538,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18539,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex2)) | (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 8.72/6.34 tff(18540,plain,
% 8.72/6.34 (v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18539, 648, 18536])).
% 8.72/6.34 tff(18541,plain,
% 8.72/6.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B))))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18542,plain,
% 8.72/6.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B))))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18543,plain,
% 8.72/6.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18542, 18541])).
% 8.72/6.34 tff(18544,plain,
% 8.72/6.34 (![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18543, 4671, 9802])).
% 8.72/6.34 tff(18545,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18546,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18547,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex2)) | (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18546, 18545])).
% 8.72/6.34 tff(18548,plain,
% 8.72/6.34 (v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18547, 648, 18544])).
% 8.72/6.34 tff(18549,plain,
% 8.72/6.34 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB107) | ![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB107) | ![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B))))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18550,plain,
% 8.72/6.34 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB107) | ![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B))))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18551,plain,
% 8.72/6.34 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB107) | ![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18550, 18549])).
% 8.72/6.34 tff(18552,plain,
% 8.72/6.34 (![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18551, 9823, 18513])).
% 8.72/6.34 tff(18553,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18554,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18555,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex2)) | (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18554, 18553])).
% 8.72/6.34 tff(18556,plain,
% 8.72/6.34 (v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18555, 648, 18552])).
% 8.72/6.34 tff(18557,plain,
% 8.72/6.34 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B))))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18558,plain,
% 8.72/6.34 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B))))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18559,plain,
% 8.72/6.34 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18558, 18557])).
% 8.72/6.34 tff(18560,plain,
% 8.72/6.34 ((~v124(constB107)) | ![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18559, 10723])).
% 8.72/6.34 tff(18561,plain,
% 8.72/6.34 (![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18560, 18496])).
% 8.72/6.34 tff(18562,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b110(bitIndex2)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18563,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b110(bitIndex2)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18564,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB107, bitIndex2) <=> b110(bitIndex2))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18563, 18562])).
% 8.72/6.34 tff(18565,plain,
% 8.72/6.34 (v130(constB107, bitIndex2) <=> b110(bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18564, 648, 18561])).
% 8.72/6.34 tff(18566,plain,
% 8.72/6.34 ((~(v130(constB107, bitIndex2) <=> b110(bitIndex2))) | v130(constB107, bitIndex2) | (~b110(bitIndex2))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18567,plain,
% 8.72/6.34 ((~(v130(constB107, bitIndex2) <=> b110(bitIndex2))) | v130(constB107, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18566, 10735])).
% 8.72/6.34 tff(18568,plain,
% 8.72/6.34 (v130(constB107, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18567, 18565])).
% 8.72/6.34 tff(18569,plain,
% 8.72/6.34 ((~(v127(constB107, bitIndex2) <=> v130(constB107, bitIndex2))) | v127(constB107, bitIndex2) | (~v130(constB107, bitIndex2))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18570,plain,
% 8.72/6.34 (v127(constB107, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18569, 18568, 18556])).
% 8.72/6.34 tff(18571,plain,
% 8.72/6.34 ((~(v129(constB108, bitIndex2) <=> v127(constB107, bitIndex2))) | v129(constB108, bitIndex2) | (~v127(constB107, bitIndex2))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18572,plain,
% 8.72/6.34 (v129(constB108, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18571, 18570, 18548])).
% 8.72/6.34 tff(18573,plain,
% 8.72/6.34 ((~(v90(constB108, bitIndex2) <=> v129(constB108, bitIndex2))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18574,plain,
% 8.72/6.34 (v90(constB108, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18573, 18572, 18540])).
% 8.72/6.34 tff(18575,plain,
% 8.72/6.34 ((~(v90(constB109, bitIndex2) <=> v90(constB108, bitIndex2))) | v90(constB109, bitIndex2) | (~v90(constB108, bitIndex2))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18576,plain,
% 8.72/6.34 (v90(constB109, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18575, 18574, 4668])).
% 8.72/6.34 tff(18577,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18578,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18579,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18578, 18577])).
% 8.72/6.34 tff(18580,plain,
% 8.72/6.34 (v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18579, 9653, 4664])).
% 8.72/6.34 tff(18581,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18582,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18583,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex0)) | (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18582, 18581])).
% 8.72/6.34 tff(18584,plain,
% 8.72/6.34 (v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18583, 9653, 18536])).
% 8.72/6.34 tff(18585,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18586,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18587,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex0)) | (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18586, 18585])).
% 8.72/6.34 tff(18588,plain,
% 8.72/6.34 (v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18587, 9653, 18544])).
% 8.72/6.34 tff(18589,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18590,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18591,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex0)) | (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 8.72/6.34 tff(18592,plain,
% 8.72/6.34 (v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18591, 9653, 18552])).
% 8.72/6.34 tff(18593,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b110(bitIndex0)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18594,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b110(bitIndex0)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18595,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB107, bitIndex0) <=> b110(bitIndex0))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18594, 18593])).
% 8.72/6.34 tff(18596,plain,
% 8.72/6.34 (v130(constB107, bitIndex0) <=> b110(bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18595, 9653, 18561])).
% 8.72/6.34 tff(18597,plain,
% 8.72/6.34 ((~(v130(constB107, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB107, bitIndex0)) | b110(bitIndex0)),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18598,plain,
% 8.72/6.34 ((~(v130(constB107, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB107, bitIndex0))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18597, 10769])).
% 8.72/6.34 tff(18599,plain,
% 8.72/6.34 (~v130(constB107, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18598, 18596])).
% 8.72/6.34 tff(18600,plain,
% 8.72/6.34 ((~(v127(constB107, bitIndex0) <=> v130(constB107, bitIndex0))) | (~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18601,plain,
% 8.72/6.34 (~v127(constB107, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18600, 18599, 18592])).
% 8.72/6.34 tff(18602,plain,
% 8.72/6.34 ((~(v129(constB108, bitIndex0) <=> v127(constB107, bitIndex0))) | (~v129(constB108, bitIndex0)) | v127(constB107, bitIndex0)),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18603,plain,
% 8.72/6.34 (~v129(constB108, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18602, 18601, 18588])).
% 8.72/6.34 tff(18604,plain,
% 8.72/6.34 ((~(v90(constB108, bitIndex0) <=> v129(constB108, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18605,plain,
% 8.72/6.34 (~v90(constB108, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18604, 18603, 18584])).
% 8.72/6.34 tff(18606,plain,
% 8.72/6.34 ((~(v90(constB109, bitIndex0) <=> v90(constB108, bitIndex0))) | (~v90(constB109, bitIndex0)) | v90(constB108, bitIndex0)),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18607,plain,
% 8.72/6.34 (~v90(constB109, bitIndex0)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18606, 18605, 18580])).
% 8.72/6.34 tff(18608,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18609,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18610,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB109, B) <=> v90(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18609, 18608])).
% 8.72/6.34 tff(18611,plain,
% 8.72/6.34 (v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18610, 375, 4664])).
% 8.72/6.34 tff(18612,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18613,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | ((~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18614,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB108, B) <=> v129(constB108, B)))) | (~less_3(bitIndex1)) | (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18613, 18612])).
% 8.72/6.34 tff(18615,plain,
% 8.72/6.34 (v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18614, 375, 18536])).
% 8.72/6.34 tff(18616,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18617,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | ((~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18618,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB108, B) <=> v127(constB107, B)))) | (~less_3(bitIndex1)) | (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18617, 18616])).
% 8.72/6.34 tff(18619,plain,
% 8.72/6.34 (v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18618, 375, 18544])).
% 8.72/6.34 tff(18620,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18621,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | ((~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18622,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v127(constB107, B) <=> v130(constB107, B)))) | (~less_3(bitIndex1)) | (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18621, 18620])).
% 8.72/6.34 tff(18623,plain,
% 8.72/6.34 (v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18622, 375, 18552])).
% 8.72/6.34 tff(18624,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b110(bitIndex1)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18625,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b110(bitIndex1)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18626,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v130(constB107, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB107, bitIndex1) <=> b110(bitIndex1))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18625, 18624])).
% 8.72/6.34 tff(18627,plain,
% 8.72/6.34 (v130(constB107, bitIndex1) <=> b110(bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18626, 375, 18561])).
% 8.72/6.34 tff(18628,plain,
% 8.72/6.34 ((~(v130(constB107, bitIndex1) <=> b110(bitIndex1))) | v130(constB107, bitIndex1) | (~b110(bitIndex1))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18629,plain,
% 8.72/6.34 ((~(v130(constB107, bitIndex1) <=> b110(bitIndex1))) | v130(constB107, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18628, 10803])).
% 8.72/6.34 tff(18630,plain,
% 8.72/6.34 (v130(constB107, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18629, 18627])).
% 8.72/6.34 tff(18631,plain,
% 8.72/6.34 ((~(v127(constB107, bitIndex1) <=> v130(constB107, bitIndex1))) | v127(constB107, bitIndex1) | (~v130(constB107, bitIndex1))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18632,plain,
% 8.72/6.34 (v127(constB107, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18631, 18630, 18623])).
% 8.72/6.34 tff(18633,plain,
% 8.72/6.34 ((~(v129(constB108, bitIndex1) <=> v127(constB107, bitIndex1))) | v129(constB108, bitIndex1) | (~v127(constB107, bitIndex1))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18634,plain,
% 8.72/6.34 (v129(constB108, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18633, 18632, 18619])).
% 8.72/6.34 tff(18635,plain,
% 8.72/6.34 ((~(v90(constB108, bitIndex1) <=> v129(constB108, bitIndex1))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18636,plain,
% 8.72/6.34 (v90(constB108, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18635, 18634, 18615])).
% 8.72/6.34 tff(18637,plain,
% 8.72/6.34 ((~(v90(constB109, bitIndex1) <=> v90(constB108, bitIndex1))) | v90(constB109, bitIndex1) | (~v90(constB108, bitIndex1))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18638,plain,
% 8.72/6.34 (v90(constB109, bitIndex1)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18637, 18636, 18611])).
% 8.72/6.34 tff(18639,plain,
% 8.72/6.34 ((~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18640,plain,
% 8.72/6.34 (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18639, 18638, 18607, 18576])).
% 8.72/6.34 tff(18641,plain,
% 8.72/6.34 ((~(v125(constB109) <=> (~((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))) | v125(constB109) | ((~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18642,plain,
% 8.72/6.34 (v125(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18641, 18640, 4636])).
% 8.72/6.34 tff(18643,plain,
% 8.72/6.34 ((v114(constB109) | v125(constB109)) | (~v125(constB109))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18644,plain,
% 8.72/6.34 (v114(constB109) | v125(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18643, 18642])).
% 8.72/6.34 tff(18645,plain,
% 8.72/6.34 ((~(v113(constB109) <=> (v114(constB109) | v125(constB109)))) | v113(constB109) | (~(v114(constB109) | v125(constB109)))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18646,plain,
% 8.72/6.34 (v113(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18645, 18644, 4629])).
% 8.72/6.34 tff(18647,plain,
% 8.72/6.34 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB109)) <=> v111(constB109))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18648,plain,
% 8.72/6.34 ((~v126(constB109)) <=> v111(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18647, 9720])).
% 8.72/6.34 tff(18649,plain,
% 8.72/6.34 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB109) <=> v26(constB109))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18650,plain,
% 8.72/6.34 (v111(constB109) <=> v26(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18649, 9732])).
% 8.72/6.34 tff(18651,plain,
% 8.72/6.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18652,plain,
% 8.72/6.34 (~v26(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18651, 9744])).
% 8.72/6.34 tff(18653,plain,
% 8.72/6.34 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109)) | v26(constB109)),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18654,plain,
% 8.72/6.34 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18653, 18652])).
% 8.72/6.34 tff(18655,plain,
% 8.72/6.34 (~v111(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18654, 18650])).
% 8.72/6.34 tff(18656,plain,
% 8.72/6.34 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109) | v111(constB109)),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18657,plain,
% 8.72/6.34 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18656, 18655])).
% 8.72/6.34 tff(18658,plain,
% 8.72/6.34 (v126(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18657, 18648])).
% 8.72/6.34 tff(18659,plain,
% 8.72/6.34 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109)) | (~v126(constB109))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18660,plain,
% 8.72/6.34 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18659, 18658])).
% 8.72/6.34 tff(18661,plain,
% 8.72/6.34 (~((~v113(constB109)) | (~v126(constB109)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18660, 18646])).
% 8.72/6.34 tff(18662,plain,
% 8.72/6.34 ((~(v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))) | v112(constB109) | ((~v113(constB109)) | (~v126(constB109)))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18663,plain,
% 8.72/6.34 (v112(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18662, 18661, 4627])).
% 8.72/6.34 tff(18664,plain,
% 8.72/6.34 ((v111(constB109) | v112(constB109)) | (~v112(constB109))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18665,plain,
% 8.72/6.34 (v111(constB109) | v112(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18664, 18663])).
% 8.72/6.34 tff(18666,plain,
% 8.72/6.34 ((~(v108(constB109) <=> (v111(constB109) | v112(constB109)))) | v108(constB109) | (~(v111(constB109) | v112(constB109)))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18667,plain,
% 8.72/6.34 (v108(constB109)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18666, 18665, 4625])).
% 8.72/6.34 tff(18668,plain,
% 8.72/6.34 ((~(v110(constB110) <=> v108(constB109))) | v110(constB110) | (~v108(constB109))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18669,plain,
% 8.72/6.34 (v110(constB110)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18668, 18667, 4623])).
% 8.72/6.34 tff(18670,plain,
% 8.72/6.34 ((~((~v101(constB110)) | (~v110(constB110)))) | (~v101(constB110)) | (~v110(constB110))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18671,plain,
% 8.72/6.34 (~((~v101(constB110)) | (~v110(constB110)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18670, 18669, 4619])).
% 8.72/6.34 tff(18672,plain,
% 8.72/6.34 ((~(v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))) | v100(constB110) | ((~v101(constB110)) | (~v110(constB110)))),
% 8.72/6.34 inference(tautology,[status(thm)],[])).
% 8.72/6.34 tff(18673,plain,
% 8.72/6.34 (v100(constB110)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18672, 18671, 4588])).
% 8.72/6.34 tff(18674,plain,
% 8.72/6.34 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B))))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18675,plain,
% 8.72/6.34 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B))))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18676,plain,
% 8.72/6.34 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18675, 18674])).
% 8.72/6.34 tff(18677,plain,
% 8.72/6.34 ((~v100(constB110)) | ![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18676, 9780])).
% 8.72/6.34 tff(18678,plain,
% 8.72/6.34 (![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18677, 18673])).
% 8.72/6.34 tff(18679,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18680,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18681,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex2)) | (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 8.72/6.34 tff(18682,plain,
% 8.72/6.34 (v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18681, 648, 18678])).
% 8.72/6.34 tff(18683,plain,
% 8.72/6.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B))))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18684,plain,
% 8.72/6.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B))))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18685,plain,
% 8.72/6.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18684, 18683])).
% 8.72/6.34 tff(18686,plain,
% 8.72/6.34 (![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18685, 4584, 9802])).
% 8.72/6.34 tff(18687,plain,
% 8.72/6.34 (((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)))),
% 8.72/6.34 inference(rewrite,[status(thm)],[])).
% 8.72/6.34 tff(18688,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)))),
% 8.72/6.34 inference(quant_inst,[status(thm)],[])).
% 8.72/6.34 tff(18689,plain,
% 8.72/6.34 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex2)) | (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2))),
% 8.72/6.34 inference(modus_ponens,[status(thm)],[18688, 18687])).
% 8.72/6.34 tff(18690,plain,
% 8.72/6.34 (v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2)),
% 8.72/6.34 inference(unit_resolution,[status(thm)],[18689, 648, 18686])).
% 8.72/6.34 tff(18691,plain,
% 8.72/6.34 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB109) | ![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB109) | ![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18692,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB109) | ![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B))))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(18693,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB109) | ![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))),
% 8.72/6.35 inference(modus_ponens,[status(thm)],[18692, 18691])).
% 8.72/6.35 tff(18694,plain,
% 8.72/6.35 (![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18693, 9823, 18655])).
% 8.72/6.35 tff(18695,plain,
% 8.72/6.35 (((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18696,plain,
% 8.72/6.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(18697,plain,
% 8.72/6.35 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex2)) | (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2))),
% 8.72/6.35 inference(modus_ponens,[status(thm)],[18696, 18695])).
% 8.72/6.35 tff(18698,plain,
% 8.72/6.35 (v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18697, 648, 18694])).
% 8.72/6.35 tff(18699,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(18700,plain,
% 8.72/6.35 (v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)))),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18699, 9620])).
% 8.72/6.35 tff(18701,plain,
% 8.72/6.35 ((v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex2))),
% 8.72/6.35 inference(tautology,[status(thm)],[])).
% 8.72/6.35 tff(18702,plain,
% 8.72/6.35 (v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18701, 18576])).
% 8.72/6.35 tff(18703,plain,
% 8.72/6.35 ((~(v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))))) | (~v119(constB109)) | (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)))),
% 8.72/6.35 inference(tautology,[status(thm)],[])).
% 8.72/6.35 tff(18704,plain,
% 8.72/6.35 (~v119(constB109)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18703, 18702, 18700])).
% 8.72/6.35 tff(18705,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18706,plain,
% 8.72/6.35 ((v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2))))) <=> (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18707,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))))),
% 8.72/6.35 inference(monotonicity,[status(thm)],[18706])).
% 8.72/6.35 tff(18708,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))))),
% 8.72/6.35 inference(transitivity,[status(thm)],[18707, 18705])).
% 8.72/6.35 tff(18709,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2)))))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(18710,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(modus_ponens,[status(thm)],[18709, 18708])).
% 8.72/6.35 tff(18711,plain,
% 8.72/6.35 (v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18710, 815])).
% 8.72/6.35 tff(18712,plain,
% 8.72/6.35 (((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex1))),
% 8.72/6.35 inference(tautology,[status(thm)],[])).
% 8.72/6.35 tff(18713,plain,
% 8.72/6.35 ((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18712, 18638])).
% 8.72/6.35 tff(18714,plain,
% 8.72/6.35 ((~(v124(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))) | (~v124(constB109)) | (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))),
% 8.72/6.35 inference(tautology,[status(thm)],[])).
% 8.72/6.35 tff(18715,plain,
% 8.72/6.35 (~v124(constB109)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18714, 18713, 18711])).
% 8.72/6.35 tff(18716,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18717,plain,
% 8.72/6.35 ((v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2))))) <=> (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18718,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(monotonicity,[status(thm)],[18717])).
% 8.72/6.35 tff(18719,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(transitivity,[status(thm)],[18718, 18716])).
% 8.72/6.35 tff(18720,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)))))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(18721,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0))))),
% 8.72/6.35 inference(modus_ponens,[status(thm)],[18720, 18719])).
% 8.72/6.35 tff(18722,plain,
% 8.72/6.35 (v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)))),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18721, 919])).
% 8.72/6.35 tff(18723,plain,
% 8.72/6.35 (((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1))),
% 8.72/6.35 inference(tautology,[status(thm)],[])).
% 8.72/6.35 tff(18724,plain,
% 8.72/6.35 ((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18723, 18638])).
% 8.72/6.35 tff(18725,plain,
% 8.72/6.35 ((~(v123(constB109) <=> (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0))))) | (~v123(constB109)) | (~((~v90(constB109, bitIndex2)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex0)))),
% 8.72/6.35 inference(tautology,[status(thm)],[])).
% 8.72/6.35 tff(18726,plain,
% 8.72/6.35 (~v123(constB109)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18725, 18724, 18722])).
% 8.72/6.35 tff(18727,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18728,plain,
% 8.72/6.35 ((v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1))))) <=> (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18729,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))))),
% 8.72/6.35 inference(monotonicity,[status(thm)],[18728])).
% 8.72/6.35 tff(18730,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))))),
% 8.72/6.35 inference(transitivity,[status(thm)],[18729, 18727])).
% 8.72/6.35 tff(18731,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)))))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(18732,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(modus_ponens,[status(thm)],[18731, 18730])).
% 8.72/6.35 tff(18733,plain,
% 8.72/6.35 (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18732, 1025])).
% 8.72/6.35 tff(18734,plain,
% 8.72/6.35 ((v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex2))),
% 8.72/6.35 inference(tautology,[status(thm)],[])).
% 8.72/6.35 tff(18735,plain,
% 8.72/6.35 (v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18734, 18576])).
% 8.72/6.35 tff(18736,plain,
% 8.72/6.35 ((~(v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))) | (~v122(constB109)) | (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))),
% 8.72/6.35 inference(tautology,[status(thm)],[])).
% 8.72/6.35 tff(18737,plain,
% 8.72/6.35 (~v122(constB109)),
% 8.72/6.35 inference(unit_resolution,[status(thm)],[18736, 18735, 18733])).
% 8.72/6.35 tff(18738,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18739,plain,
% 8.72/6.35 ((v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1))))) <=> (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 8.72/6.35 inference(rewrite,[status(thm)],[])).
% 8.72/6.35 tff(18740,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(monotonicity,[status(thm)],[18739])).
% 8.72/6.35 tff(18741,plain,
% 8.72/6.35 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))))),
% 8.72/6.35 inference(transitivity,[status(thm)],[18740, 18738])).
% 8.72/6.35 tff(18742,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))),
% 8.72/6.35 inference(quant_inst,[status(thm)],[])).
% 8.72/6.35 tff(18743,plain,
% 8.72/6.35 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))),
% 8.78/6.35 inference(modus_ponens,[status(thm)],[18742, 18741])).
% 8.78/6.35 tff(18744,plain,
% 8.78/6.35 (v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18743, 1133])).
% 8.78/6.35 tff(18745,plain,
% 8.78/6.35 ((v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2))),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18746,plain,
% 8.78/6.35 (v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18745, 18576])).
% 8.78/6.35 tff(18747,plain,
% 8.78/6.35 ((~(v121(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0))))) | (~v121(constB109)) | (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex0)))),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18748,plain,
% 8.78/6.35 (~v121(constB109)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18747, 18746, 18744])).
% 8.78/6.35 tff(18749,plain,
% 8.78/6.35 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))))),
% 8.78/6.35 inference(rewrite,[status(thm)],[])).
% 8.78/6.35 tff(18750,plain,
% 8.78/6.35 ((v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0))))) <=> (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))),
% 8.78/6.35 inference(rewrite,[status(thm)],[])).
% 8.78/6.35 tff(18751,plain,
% 8.78/6.35 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))))),
% 8.78/6.35 inference(monotonicity,[status(thm)],[18750])).
% 8.78/6.35 tff(18752,plain,
% 8.78/6.35 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))))),
% 8.78/6.35 inference(transitivity,[status(thm)],[18751, 18749])).
% 8.78/6.35 tff(18753,plain,
% 8.78/6.35 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)))))),
% 8.78/6.35 inference(quant_inst,[status(thm)],[])).
% 8.78/6.35 tff(18754,plain,
% 8.78/6.35 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))),
% 8.78/6.35 inference(modus_ponens,[status(thm)],[18753, 18752])).
% 8.78/6.35 tff(18755,plain,
% 8.78/6.35 (v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18754, 610])).
% 8.78/6.35 tff(18756,plain,
% 8.78/6.35 ((v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex2))),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18757,plain,
% 8.78/6.35 (v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18756, 18576])).
% 8.78/6.35 tff(18758,plain,
% 8.78/6.35 ((~(v120(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)))))) | (~v120(constB109)) | (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0))))),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18759,plain,
% 8.78/6.35 (~v120(constB109)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18758, 18757, 18755])).
% 8.78/6.35 tff(18760,plain,
% 8.78/6.35 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B))))),
% 8.78/6.35 inference(rewrite,[status(thm)],[])).
% 8.78/6.35 tff(18761,plain,
% 8.78/6.35 ((v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) <=> (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B))))),
% 8.78/6.35 inference(rewrite,[status(thm)],[])).
% 8.78/6.35 tff(18762,plain,
% 8.78/6.35 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))))),
% 8.78/6.35 inference(monotonicity,[status(thm)],[18761])).
% 8.78/6.35 tff(18763,plain,
% 8.78/6.35 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B))))),
% 8.78/6.35 inference(transitivity,[status(thm)],[18762, 18760])).
% 8.78/6.35 tff(18764,plain,
% 8.78/6.35 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B))))),
% 8.78/6.35 inference(quant_inst,[status(thm)],[])).
% 8.78/6.35 tff(18765,plain,
% 8.78/6.35 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))),
% 8.78/6.35 inference(modus_ponens,[status(thm)],[18764, 18763])).
% 8.78/6.35 tff(18766,plain,
% 8.78/6.35 (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | ![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18765, 10951])).
% 8.78/6.35 tff(18767,plain,
% 8.78/6.35 (![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18766, 18759, 18748, 18737, 18726, 18715, 18704])).
% 8.78/6.35 tff(18768,plain,
% 8.78/6.35 (((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b001(bitIndex2)))),
% 8.78/6.35 inference(rewrite,[status(thm)],[])).
% 8.78/6.35 tff(18769,plain,
% 8.78/6.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b001(bitIndex2)))),
% 8.78/6.35 inference(quant_inst,[status(thm)],[])).
% 8.78/6.35 tff(18770,plain,
% 8.78/6.35 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB109, bitIndex2) <=> b001(bitIndex2))),
% 8.78/6.35 inference(modus_ponens,[status(thm)],[18769, 18768])).
% 8.78/6.35 tff(18771,plain,
% 8.78/6.35 (v130(constB109, bitIndex2) <=> b001(bitIndex2)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18770, 648, 18767])).
% 8.78/6.35 tff(18772,plain,
% 8.78/6.35 ((~(v130(constB109, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB109, bitIndex2)) | b001(bitIndex2)),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18773,plain,
% 8.78/6.35 ((~(v130(constB109, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB109, bitIndex2))),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18772, 9855])).
% 8.78/6.35 tff(18774,plain,
% 8.78/6.35 (~v130(constB109, bitIndex2)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18773, 18771])).
% 8.78/6.35 tff(18775,plain,
% 8.78/6.35 ((~(v127(constB109, bitIndex2) <=> v130(constB109, bitIndex2))) | (~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18776,plain,
% 8.78/6.35 (~v127(constB109, bitIndex2)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18775, 18774, 18698])).
% 8.78/6.35 tff(18777,plain,
% 8.78/6.35 ((~(v129(constB110, bitIndex2) <=> v127(constB109, bitIndex2))) | (~v129(constB110, bitIndex2)) | v127(constB109, bitIndex2)),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18778,plain,
% 8.78/6.35 (~v129(constB110, bitIndex2)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18777, 18776, 18690])).
% 8.78/6.35 tff(18779,plain,
% 8.78/6.35 ((~(v90(constB110, bitIndex2) <=> v129(constB110, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2)),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18780,plain,
% 8.78/6.35 (~v90(constB110, bitIndex2)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18779, 18778, 18682])).
% 8.78/6.35 tff(18781,plain,
% 8.78/6.35 ((~(v90(constB111, bitIndex2) <=> v90(constB110, bitIndex2))) | (~v90(constB111, bitIndex2)) | v90(constB110, bitIndex2)),
% 8.78/6.35 inference(tautology,[status(thm)],[])).
% 8.78/6.35 tff(18782,plain,
% 8.78/6.35 (~v90(constB111, bitIndex2)),
% 8.78/6.35 inference(unit_resolution,[status(thm)],[18781, 18780, 4581])).
% 8.78/6.35 tff(18783,plain,
% 8.78/6.35 (((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)))),
% 8.78/6.35 inference(rewrite,[status(thm)],[])).
% 8.78/6.35 tff(18784,plain,
% 8.78/6.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)))),
% 8.78/6.35 inference(quant_inst,[status(thm)],[])).
% 8.78/6.35 tff(18785,plain,
% 8.78/6.35 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0))),
% 8.78/6.35 inference(modus_ponens,[status(thm)],[18784, 18783])).
% 8.78/6.35 tff(18786,plain,
% 8.78/6.35 (v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18785, 9653, 4577])).
% 8.78/6.36 tff(18787,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18788,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18789,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex0)) | (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18788, 18787])).
% 8.78/6.36 tff(18790,plain,
% 8.78/6.36 (v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18789, 9653, 18678])).
% 8.78/6.36 tff(18791,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18792,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18793,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex0)) | (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18792, 18791])).
% 8.78/6.36 tff(18794,plain,
% 8.78/6.36 (v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18793, 9653, 18686])).
% 8.78/6.36 tff(18795,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18796,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18797,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex0)) | (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18796, 18795])).
% 8.78/6.36 tff(18798,plain,
% 8.78/6.36 (v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18797, 9653, 18694])).
% 8.78/6.36 tff(18799,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b001(bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18800,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b001(bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18801,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB109, bitIndex0) <=> b001(bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18800, 18799])).
% 8.78/6.36 tff(18802,plain,
% 8.78/6.36 (v130(constB109, bitIndex0) <=> b001(bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18801, 9653, 18767])).
% 8.78/6.36 tff(18803,plain,
% 8.78/6.36 ((~(v130(constB109, bitIndex0) <=> b001(bitIndex0))) | v130(constB109, bitIndex0) | (~b001(bitIndex0))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18804,plain,
% 8.78/6.36 ((~(v130(constB109, bitIndex0) <=> b001(bitIndex0))) | v130(constB109, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18803, 9889])).
% 8.78/6.36 tff(18805,plain,
% 8.78/6.36 (v130(constB109, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18804, 18802])).
% 8.78/6.36 tff(18806,plain,
% 8.78/6.36 ((~(v127(constB109, bitIndex0) <=> v130(constB109, bitIndex0))) | v127(constB109, bitIndex0) | (~v130(constB109, bitIndex0))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18807,plain,
% 8.78/6.36 (v127(constB109, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18806, 18805, 18798])).
% 8.78/6.36 tff(18808,plain,
% 8.78/6.36 ((~(v129(constB110, bitIndex0) <=> v127(constB109, bitIndex0))) | v129(constB110, bitIndex0) | (~v127(constB109, bitIndex0))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18809,plain,
% 8.78/6.36 (v129(constB110, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18808, 18807, 18794])).
% 8.78/6.36 tff(18810,plain,
% 8.78/6.36 ((~(v90(constB110, bitIndex0) <=> v129(constB110, bitIndex0))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18811,plain,
% 8.78/6.36 (v90(constB110, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18810, 18809, 18790])).
% 8.78/6.36 tff(18812,plain,
% 8.78/6.36 ((~(v90(constB111, bitIndex0) <=> v90(constB110, bitIndex0))) | v90(constB111, bitIndex0) | (~v90(constB110, bitIndex0))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18813,plain,
% 8.78/6.36 (v90(constB111, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18812, 18811, 18786])).
% 8.78/6.36 tff(18814,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18815,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18816,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB111, B) <=> v90(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18815, 18814])).
% 8.78/6.36 tff(18817,plain,
% 8.78/6.36 (v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18816, 375, 4577])).
% 8.78/6.36 tff(18818,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18819,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | ((~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18820,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB110, B) <=> v129(constB110, B)))) | (~less_3(bitIndex1)) | (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18819, 18818])).
% 8.78/6.36 tff(18821,plain,
% 8.78/6.36 (v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18820, 375, 18678])).
% 8.78/6.36 tff(18822,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18823,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | ((~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18824,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB110, B) <=> v127(constB109, B)))) | (~less_3(bitIndex1)) | (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18823, 18822])).
% 8.78/6.36 tff(18825,plain,
% 8.78/6.36 (v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18824, 375, 18686])).
% 8.78/6.36 tff(18826,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18827,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | ((~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18828,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB109, B) <=> v130(constB109, B)))) | (~less_3(bitIndex1)) | (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18827, 18826])).
% 8.78/6.36 tff(18829,plain,
% 8.78/6.36 (v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18828, 375, 18694])).
% 8.78/6.36 tff(18830,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b001(bitIndex1)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18831,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b001(bitIndex1)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18832,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB109, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB109, bitIndex1) <=> b001(bitIndex1))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18831, 18830])).
% 8.78/6.36 tff(18833,plain,
% 8.78/6.36 (v130(constB109, bitIndex1) <=> b001(bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18832, 375, 18767])).
% 8.78/6.36 tff(18834,plain,
% 8.78/6.36 ((~(v130(constB109, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB109, bitIndex1)) | b001(bitIndex1)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18835,plain,
% 8.78/6.36 ((~(v130(constB109, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB109, bitIndex1))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18834, 9923])).
% 8.78/6.36 tff(18836,plain,
% 8.78/6.36 (~v130(constB109, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18835, 18833])).
% 8.78/6.36 tff(18837,plain,
% 8.78/6.36 ((~(v127(constB109, bitIndex1) <=> v130(constB109, bitIndex1))) | (~v127(constB109, bitIndex1)) | v130(constB109, bitIndex1)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18838,plain,
% 8.78/6.36 (~v127(constB109, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18837, 18836, 18829])).
% 8.78/6.36 tff(18839,plain,
% 8.78/6.36 ((~(v129(constB110, bitIndex1) <=> v127(constB109, bitIndex1))) | (~v129(constB110, bitIndex1)) | v127(constB109, bitIndex1)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18840,plain,
% 8.78/6.36 (~v129(constB110, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18839, 18838, 18825])).
% 8.78/6.36 tff(18841,plain,
% 8.78/6.36 ((~(v90(constB110, bitIndex1) <=> v129(constB110, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18842,plain,
% 8.78/6.36 (~v90(constB110, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18841, 18840, 18821])).
% 8.78/6.36 tff(18843,plain,
% 8.78/6.36 ((~(v90(constB111, bitIndex1) <=> v90(constB110, bitIndex1))) | (~v90(constB111, bitIndex1)) | v90(constB110, bitIndex1)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18844,plain,
% 8.78/6.36 (~v90(constB111, bitIndex1)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18843, 18842, 18817])).
% 8.78/6.36 tff(18845,plain,
% 8.78/6.36 ((~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))) | v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18846,plain,
% 8.78/6.36 (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18845, 18844, 18813, 18782])).
% 8.78/6.36 tff(18847,plain,
% 8.78/6.36 ((~(v120(constB111) <=> (~(v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))))) | v120(constB111) | (v90(constB111, bitIndex2) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex0)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18848,plain,
% 8.78/6.36 (v120(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18847, 18846, 4549])).
% 8.78/6.36 tff(18849,plain,
% 8.78/6.36 ((v119(constB111) | v120(constB111)) | (~v120(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18850,plain,
% 8.78/6.36 (v119(constB111) | v120(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18849, 18848])).
% 8.78/6.36 tff(18851,plain,
% 8.78/6.36 ((~(v118(constB111) <=> (v119(constB111) | v120(constB111)))) | v118(constB111) | (~(v119(constB111) | v120(constB111)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18852,plain,
% 8.78/6.36 (v118(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18851, 18850, 4542])).
% 8.78/6.36 tff(18853,plain,
% 8.78/6.36 ((v118(constB111) | v121(constB111)) | (~v118(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18854,plain,
% 8.78/6.36 (v118(constB111) | v121(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18853, 18852])).
% 8.78/6.36 tff(18855,plain,
% 8.78/6.36 ((~(v117(constB111) <=> (v118(constB111) | v121(constB111)))) | v117(constB111) | (~(v118(constB111) | v121(constB111)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18856,plain,
% 8.78/6.36 (v117(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18855, 18854, 4540])).
% 8.78/6.36 tff(18857,plain,
% 8.78/6.36 ((v117(constB111) | v122(constB111)) | (~v117(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18858,plain,
% 8.78/6.36 (v117(constB111) | v122(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18857, 18856])).
% 8.78/6.36 tff(18859,plain,
% 8.78/6.36 ((~(v116(constB111) <=> (v117(constB111) | v122(constB111)))) | v116(constB111) | (~(v117(constB111) | v122(constB111)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18860,plain,
% 8.78/6.36 (v116(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18859, 18858, 4538])).
% 8.78/6.36 tff(18861,plain,
% 8.78/6.36 ((v116(constB111) | v123(constB111)) | (~v116(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18862,plain,
% 8.78/6.36 (v116(constB111) | v123(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18861, 18860])).
% 8.78/6.36 tff(18863,plain,
% 8.78/6.36 ((~(v115(constB111) <=> (v116(constB111) | v123(constB111)))) | v115(constB111) | (~(v116(constB111) | v123(constB111)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18864,plain,
% 8.78/6.36 (v115(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18863, 18862, 4536])).
% 8.78/6.36 tff(18865,plain,
% 8.78/6.36 ((v115(constB111) | v124(constB111)) | (~v115(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18866,plain,
% 8.78/6.36 (v115(constB111) | v124(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18865, 18864])).
% 8.78/6.36 tff(18867,plain,
% 8.78/6.36 ((~(v114(constB111) <=> (v115(constB111) | v124(constB111)))) | v114(constB111) | (~(v115(constB111) | v124(constB111)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18868,plain,
% 8.78/6.36 (v114(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18867, 18866, 4534])).
% 8.78/6.36 tff(18869,plain,
% 8.78/6.36 ((v114(constB111) | v125(constB111)) | (~v114(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18870,plain,
% 8.78/6.36 (v114(constB111) | v125(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18869, 18868])).
% 8.78/6.36 tff(18871,plain,
% 8.78/6.36 ((~(v113(constB111) <=> (v114(constB111) | v125(constB111)))) | v113(constB111) | (~(v114(constB111) | v125(constB111)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18872,plain,
% 8.78/6.36 (v113(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18871, 18870, 4532])).
% 8.78/6.36 tff(18873,plain,
% 8.78/6.36 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB111)) <=> v111(constB111))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18874,plain,
% 8.78/6.36 ((~v126(constB111)) <=> v111(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18873, 9720])).
% 8.78/6.36 tff(18875,plain,
% 8.78/6.36 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB111) <=> v26(constB111))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18876,plain,
% 8.78/6.36 (v111(constB111) <=> v26(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18875, 9732])).
% 8.78/6.36 tff(18877,plain,
% 8.78/6.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18878,plain,
% 8.78/6.36 (~v26(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18877, 9744])).
% 8.78/6.36 tff(18879,plain,
% 8.78/6.36 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111)) | v26(constB111)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18880,plain,
% 8.78/6.36 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18879, 18878])).
% 8.78/6.36 tff(18881,plain,
% 8.78/6.36 (~v111(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18880, 18876])).
% 8.78/6.36 tff(18882,plain,
% 8.78/6.36 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111) | v111(constB111)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18883,plain,
% 8.78/6.36 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18882, 18881])).
% 8.78/6.36 tff(18884,plain,
% 8.78/6.36 (v126(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18883, 18874])).
% 8.78/6.36 tff(18885,plain,
% 8.78/6.36 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111)) | (~v126(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18886,plain,
% 8.78/6.36 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18885, 18884])).
% 8.78/6.36 tff(18887,plain,
% 8.78/6.36 (~((~v113(constB111)) | (~v126(constB111)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18886, 18872])).
% 8.78/6.36 tff(18888,plain,
% 8.78/6.36 ((~(v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))) | v112(constB111) | ((~v113(constB111)) | (~v126(constB111)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18889,plain,
% 8.78/6.36 (v112(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18888, 18887, 4530])).
% 8.78/6.36 tff(18890,plain,
% 8.78/6.36 ((v111(constB111) | v112(constB111)) | (~v112(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18891,plain,
% 8.78/6.36 (v111(constB111) | v112(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18890, 18889])).
% 8.78/6.36 tff(18892,plain,
% 8.78/6.36 ((~(v108(constB111) <=> (v111(constB111) | v112(constB111)))) | v108(constB111) | (~(v111(constB111) | v112(constB111)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18893,plain,
% 8.78/6.36 (v108(constB111)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18892, 18891, 4528])).
% 8.78/6.36 tff(18894,plain,
% 8.78/6.36 ((~(v110(constB112) <=> v108(constB111))) | v110(constB112) | (~v108(constB111))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18895,plain,
% 8.78/6.36 (v110(constB112)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18894, 18893, 4526])).
% 8.78/6.36 tff(18896,plain,
% 8.78/6.36 ((~((~v101(constB112)) | (~v110(constB112)))) | (~v101(constB112)) | (~v110(constB112))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18897,plain,
% 8.78/6.36 (~((~v101(constB112)) | (~v110(constB112)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18896, 18895, 4522])).
% 8.78/6.36 tff(18898,plain,
% 8.78/6.36 ((~(v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))) | v100(constB112) | ((~v101(constB112)) | (~v110(constB112)))),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18899,plain,
% 8.78/6.36 (v100(constB112)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18898, 18897, 4491])).
% 8.78/6.36 tff(18900,plain,
% 8.78/6.36 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B))))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18901,plain,
% 8.78/6.36 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B))))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18902,plain,
% 8.78/6.36 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18901, 18900])).
% 8.78/6.36 tff(18903,plain,
% 8.78/6.36 ((~v100(constB112)) | ![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18902, 9780])).
% 8.78/6.36 tff(18904,plain,
% 8.78/6.36 (![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18903, 18899])).
% 8.78/6.36 tff(18905,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18906,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18907,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex2)) | (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 8.78/6.36 tff(18908,plain,
% 8.78/6.36 (v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18907, 648, 18904])).
% 8.78/6.36 tff(18909,plain,
% 8.78/6.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B))))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18910,plain,
% 8.78/6.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B))))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18911,plain,
% 8.78/6.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18910, 18909])).
% 8.78/6.36 tff(18912,plain,
% 8.78/6.36 (![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18911, 4487, 9802])).
% 8.78/6.36 tff(18913,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18914,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18915,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex2)) | (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18914, 18913])).
% 8.78/6.36 tff(18916,plain,
% 8.78/6.36 (v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18915, 648, 18912])).
% 8.78/6.36 tff(18917,plain,
% 8.78/6.36 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB111) | ![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB111) | ![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B))))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18918,plain,
% 8.78/6.36 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB111) | ![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B))))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18919,plain,
% 8.78/6.36 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB111) | ![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18918, 18917])).
% 8.78/6.36 tff(18920,plain,
% 8.78/6.36 (![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18919, 9823, 18881])).
% 8.78/6.36 tff(18921,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18922,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18923,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex2)) | (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18922, 18921])).
% 8.78/6.36 tff(18924,plain,
% 8.78/6.36 (v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18923, 648, 18920])).
% 8.78/6.36 tff(18925,plain,
% 8.78/6.36 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B))))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18926,plain,
% 8.78/6.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B))))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18927,plain,
% 8.78/6.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18926, 18925])).
% 8.78/6.36 tff(18928,plain,
% 8.78/6.36 ((~v120(constB111)) | ![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18927, 10027])).
% 8.78/6.36 tff(18929,plain,
% 8.78/6.36 (![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18928, 18848])).
% 8.78/6.36 tff(18930,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b010(bitIndex2)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18931,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b010(bitIndex2)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18932,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB111, bitIndex2) <=> b010(bitIndex2))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18931, 18930])).
% 8.78/6.36 tff(18933,plain,
% 8.78/6.36 (v130(constB111, bitIndex2) <=> b010(bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18932, 648, 18929])).
% 8.78/6.36 tff(18934,plain,
% 8.78/6.36 ((~(v130(constB111, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB111, bitIndex2)) | b010(bitIndex2)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18935,plain,
% 8.78/6.36 ((~(v130(constB111, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB111, bitIndex2))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18934, 10039])).
% 8.78/6.36 tff(18936,plain,
% 8.78/6.36 (~v130(constB111, bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18935, 18933])).
% 8.78/6.36 tff(18937,plain,
% 8.78/6.36 ((~(v127(constB111, bitIndex2) <=> v130(constB111, bitIndex2))) | (~v127(constB111, bitIndex2)) | v130(constB111, bitIndex2)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18938,plain,
% 8.78/6.36 (~v127(constB111, bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18937, 18936, 18924])).
% 8.78/6.36 tff(18939,plain,
% 8.78/6.36 ((~(v129(constB112, bitIndex2) <=> v127(constB111, bitIndex2))) | (~v129(constB112, bitIndex2)) | v127(constB111, bitIndex2)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18940,plain,
% 8.78/6.36 (~v129(constB112, bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18939, 18938, 18916])).
% 8.78/6.36 tff(18941,plain,
% 8.78/6.36 ((~(v90(constB112, bitIndex2) <=> v129(constB112, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18942,plain,
% 8.78/6.36 (~v90(constB112, bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18941, 18940, 18908])).
% 8.78/6.36 tff(18943,plain,
% 8.78/6.36 ((~(v90(constB113, bitIndex2) <=> v90(constB112, bitIndex2))) | (~v90(constB113, bitIndex2)) | v90(constB112, bitIndex2)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18944,plain,
% 8.78/6.36 (~v90(constB113, bitIndex2)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18943, 18942, 4484])).
% 8.78/6.36 tff(18945,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18946,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18947,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18946, 18945])).
% 8.78/6.36 tff(18948,plain,
% 8.78/6.36 (v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18947, 9653, 4480])).
% 8.78/6.36 tff(18949,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18950,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18951,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex0)) | (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18950, 18949])).
% 8.78/6.36 tff(18952,plain,
% 8.78/6.36 (v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18951, 9653, 18904])).
% 8.78/6.36 tff(18953,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18954,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18955,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex0)) | (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18954, 18953])).
% 8.78/6.36 tff(18956,plain,
% 8.78/6.36 (v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18955, 9653, 18912])).
% 8.78/6.36 tff(18957,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18958,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18959,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex0)) | (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18958, 18957])).
% 8.78/6.36 tff(18960,plain,
% 8.78/6.36 (v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18959, 9653, 18920])).
% 8.78/6.36 tff(18961,plain,
% 8.78/6.36 (((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b010(bitIndex0)))),
% 8.78/6.36 inference(rewrite,[status(thm)],[])).
% 8.78/6.36 tff(18962,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b010(bitIndex0)))),
% 8.78/6.36 inference(quant_inst,[status(thm)],[])).
% 8.78/6.36 tff(18963,plain,
% 8.78/6.36 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB111, bitIndex0) <=> b010(bitIndex0))),
% 8.78/6.36 inference(modus_ponens,[status(thm)],[18962, 18961])).
% 8.78/6.36 tff(18964,plain,
% 8.78/6.36 (v130(constB111, bitIndex0) <=> b010(bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18963, 9653, 18929])).
% 8.78/6.36 tff(18965,plain,
% 8.78/6.36 ((~(v130(constB111, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB111, bitIndex0)) | b010(bitIndex0)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18966,plain,
% 8.78/6.36 ((~(v130(constB111, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB111, bitIndex0))),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18965, 10073])).
% 8.78/6.36 tff(18967,plain,
% 8.78/6.36 (~v130(constB111, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18966, 18964])).
% 8.78/6.36 tff(18968,plain,
% 8.78/6.36 ((~(v127(constB111, bitIndex0) <=> v130(constB111, bitIndex0))) | (~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 8.78/6.36 inference(tautology,[status(thm)],[])).
% 8.78/6.36 tff(18969,plain,
% 8.78/6.36 (~v127(constB111, bitIndex0)),
% 8.78/6.36 inference(unit_resolution,[status(thm)],[18968, 18967, 18960])).
% 8.78/6.36 tff(18970,plain,
% 8.78/6.36 ((~(v129(constB112, bitIndex0) <=> v127(constB111, bitIndex0))) | (~v129(constB112, bitIndex0)) | v127(constB111, bitIndex0)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(18971,plain,
% 8.78/6.37 (~v129(constB112, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18970, 18969, 18956])).
% 8.78/6.37 tff(18972,plain,
% 8.78/6.37 ((~(v90(constB112, bitIndex0) <=> v129(constB112, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(18973,plain,
% 8.78/6.37 (~v90(constB112, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18972, 18971, 18952])).
% 8.78/6.37 tff(18974,plain,
% 8.78/6.37 ((~(v90(constB113, bitIndex0) <=> v90(constB112, bitIndex0))) | (~v90(constB113, bitIndex0)) | v90(constB112, bitIndex0)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(18975,plain,
% 8.78/6.37 (~v90(constB113, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18974, 18973, 18948])).
% 8.78/6.37 tff(18976,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(18977,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(18978,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB113, B) <=> v90(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 8.78/6.37 tff(18979,plain,
% 8.78/6.37 (v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18978, 375, 4480])).
% 8.78/6.37 tff(18980,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(18981,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | ((~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(18982,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB112, B) <=> v129(constB112, B)))) | (~less_3(bitIndex1)) | (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 8.78/6.37 tff(18983,plain,
% 8.78/6.37 (v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18982, 375, 18904])).
% 8.78/6.37 tff(18984,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(18985,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | ((~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(18986,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB112, B) <=> v127(constB111, B)))) | (~less_3(bitIndex1)) | (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[18985, 18984])).
% 8.78/6.37 tff(18987,plain,
% 8.78/6.37 (v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18986, 375, 18912])).
% 8.78/6.37 tff(18988,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(18989,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | ((~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(18990,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB111, B) <=> v130(constB111, B)))) | (~less_3(bitIndex1)) | (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 8.78/6.37 tff(18991,plain,
% 8.78/6.37 (v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18990, 375, 18920])).
% 8.78/6.37 tff(18992,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b010(bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(18993,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b010(bitIndex1)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(18994,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB111, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB111, bitIndex1) <=> b010(bitIndex1))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[18993, 18992])).
% 8.78/6.37 tff(18995,plain,
% 8.78/6.37 (v130(constB111, bitIndex1) <=> b010(bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18994, 375, 18929])).
% 8.78/6.37 tff(18996,plain,
% 8.78/6.37 ((~(v130(constB111, bitIndex1) <=> b010(bitIndex1))) | v130(constB111, bitIndex1) | (~b010(bitIndex1))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(18997,plain,
% 8.78/6.37 ((~(v130(constB111, bitIndex1) <=> b010(bitIndex1))) | v130(constB111, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18996, 10107])).
% 8.78/6.37 tff(18998,plain,
% 8.78/6.37 (v130(constB111, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18997, 18995])).
% 8.78/6.37 tff(18999,plain,
% 8.78/6.37 ((~(v127(constB111, bitIndex1) <=> v130(constB111, bitIndex1))) | v127(constB111, bitIndex1) | (~v130(constB111, bitIndex1))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19000,plain,
% 8.78/6.37 (v127(constB111, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[18999, 18998, 18991])).
% 8.78/6.37 tff(19001,plain,
% 8.78/6.37 ((~(v129(constB112, bitIndex1) <=> v127(constB111, bitIndex1))) | v129(constB112, bitIndex1) | (~v127(constB111, bitIndex1))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19002,plain,
% 8.78/6.37 (v129(constB112, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19001, 19000, 18987])).
% 8.78/6.37 tff(19003,plain,
% 8.78/6.37 ((~(v90(constB112, bitIndex1) <=> v129(constB112, bitIndex1))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19004,plain,
% 8.78/6.37 (v90(constB112, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19003, 19002, 18983])).
% 8.78/6.37 tff(19005,plain,
% 8.78/6.37 ((~(v90(constB113, bitIndex1) <=> v90(constB112, bitIndex1))) | v90(constB113, bitIndex1) | (~v90(constB112, bitIndex1))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19006,plain,
% 8.78/6.37 (v90(constB113, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19005, 19004, 18979])).
% 8.78/6.37 tff(19007,plain,
% 8.78/6.37 ((~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19008,plain,
% 8.78/6.37 (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19007, 19006, 18975, 18944])).
% 8.78/6.37 tff(19009,plain,
% 8.78/6.37 ((~(v121(constB113) <=> (~(v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))))) | v121(constB113) | (v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex0))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19010,plain,
% 8.78/6.37 (v121(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19009, 19008, 4452])).
% 8.78/6.37 tff(19011,plain,
% 8.78/6.37 ((v118(constB113) | v121(constB113)) | (~v121(constB113))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19012,plain,
% 8.78/6.37 (v118(constB113) | v121(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19011, 19010])).
% 8.78/6.37 tff(19013,plain,
% 8.78/6.37 ((~(v117(constB113) <=> (v118(constB113) | v121(constB113)))) | v117(constB113) | (~(v118(constB113) | v121(constB113)))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19014,plain,
% 8.78/6.37 (v117(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19013, 19012, 4445])).
% 8.78/6.37 tff(19015,plain,
% 8.78/6.37 ((v117(constB113) | v122(constB113)) | (~v117(constB113))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19016,plain,
% 8.78/6.37 (v117(constB113) | v122(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19015, 19014])).
% 8.78/6.37 tff(19017,plain,
% 8.78/6.37 ((~(v116(constB113) <=> (v117(constB113) | v122(constB113)))) | v116(constB113) | (~(v117(constB113) | v122(constB113)))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19018,plain,
% 8.78/6.37 (v116(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19017, 19016, 4443])).
% 8.78/6.37 tff(19019,plain,
% 8.78/6.37 ((v116(constB113) | v123(constB113)) | (~v116(constB113))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19020,plain,
% 8.78/6.37 (v116(constB113) | v123(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19019, 19018])).
% 8.78/6.37 tff(19021,plain,
% 8.78/6.37 ((~(v115(constB113) <=> (v116(constB113) | v123(constB113)))) | v115(constB113) | (~(v116(constB113) | v123(constB113)))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19022,plain,
% 8.78/6.37 (v115(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19021, 19020, 4441])).
% 8.78/6.37 tff(19023,plain,
% 8.78/6.37 ((v115(constB113) | v124(constB113)) | (~v115(constB113))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19024,plain,
% 8.78/6.37 (v115(constB113) | v124(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19023, 19022])).
% 8.78/6.37 tff(19025,plain,
% 8.78/6.37 ((~(v114(constB113) <=> (v115(constB113) | v124(constB113)))) | v114(constB113) | (~(v115(constB113) | v124(constB113)))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19026,plain,
% 8.78/6.37 (v114(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19025, 19024, 4439])).
% 8.78/6.37 tff(19027,plain,
% 8.78/6.37 ((v114(constB113) | v125(constB113)) | (~v114(constB113))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19028,plain,
% 8.78/6.37 (v114(constB113) | v125(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19027, 19026])).
% 8.78/6.37 tff(19029,plain,
% 8.78/6.37 ((~(v113(constB113) <=> (v114(constB113) | v125(constB113)))) | v113(constB113) | (~(v114(constB113) | v125(constB113)))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19030,plain,
% 8.78/6.37 (v113(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19029, 19028, 4437])).
% 8.78/6.37 tff(19031,plain,
% 8.78/6.37 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB113)) <=> v111(constB113))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19032,plain,
% 8.78/6.37 ((~v126(constB113)) <=> v111(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19031, 9720])).
% 8.78/6.37 tff(19033,plain,
% 8.78/6.37 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB113) <=> v26(constB113))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19034,plain,
% 8.78/6.37 (v111(constB113) <=> v26(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19033, 9732])).
% 8.78/6.37 tff(19035,plain,
% 8.78/6.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19036,plain,
% 8.78/6.37 (~v26(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19035, 9744])).
% 8.78/6.37 tff(19037,plain,
% 8.78/6.37 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113)) | v26(constB113)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19038,plain,
% 8.78/6.37 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19037, 19036])).
% 8.78/6.37 tff(19039,plain,
% 8.78/6.37 (~v111(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19038, 19034])).
% 8.78/6.37 tff(19040,plain,
% 8.78/6.37 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113) | v111(constB113)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19041,plain,
% 8.78/6.37 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19040, 19039])).
% 8.78/6.37 tff(19042,plain,
% 8.78/6.37 (v126(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19041, 19032])).
% 8.78/6.37 tff(19043,plain,
% 8.78/6.37 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113)) | (~v126(constB113))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19044,plain,
% 8.78/6.37 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19043, 19042])).
% 8.78/6.37 tff(19045,plain,
% 8.78/6.37 (~((~v113(constB113)) | (~v126(constB113)))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19044, 19030])).
% 8.78/6.37 tff(19046,plain,
% 8.78/6.37 ((~(v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))) | v112(constB113) | ((~v113(constB113)) | (~v126(constB113)))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19047,plain,
% 8.78/6.37 (v112(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19046, 19045, 4435])).
% 8.78/6.37 tff(19048,plain,
% 8.78/6.37 ((v111(constB113) | v112(constB113)) | (~v112(constB113))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19049,plain,
% 8.78/6.37 (v111(constB113) | v112(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19048, 19047])).
% 8.78/6.37 tff(19050,plain,
% 8.78/6.37 ((~(v108(constB113) <=> (v111(constB113) | v112(constB113)))) | v108(constB113) | (~(v111(constB113) | v112(constB113)))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19051,plain,
% 8.78/6.37 (v108(constB113)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19050, 19049, 4433])).
% 8.78/6.37 tff(19052,plain,
% 8.78/6.37 ((~(v110(constB114) <=> v108(constB113))) | v110(constB114) | (~v108(constB113))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19053,plain,
% 8.78/6.37 (v110(constB114)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19052, 19051, 4431])).
% 8.78/6.37 tff(19054,plain,
% 8.78/6.37 ((~((~v101(constB114)) | (~v110(constB114)))) | (~v101(constB114)) | (~v110(constB114))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19055,plain,
% 8.78/6.37 (~((~v101(constB114)) | (~v110(constB114)))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19054, 19053, 4427])).
% 8.78/6.37 tff(19056,plain,
% 8.78/6.37 ((~(v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))) | v100(constB114) | ((~v101(constB114)) | (~v110(constB114)))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19057,plain,
% 8.78/6.37 (v100(constB114)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19056, 19055, 4396])).
% 8.78/6.37 tff(19058,plain,
% 8.78/6.37 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B))))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19059,plain,
% 8.78/6.37 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B))))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19060,plain,
% 8.78/6.37 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19059, 19058])).
% 8.78/6.37 tff(19061,plain,
% 8.78/6.37 ((~v100(constB114)) | ![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19060, 9780])).
% 8.78/6.37 tff(19062,plain,
% 8.78/6.37 (![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19061, 19057])).
% 8.78/6.37 tff(19063,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19064,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19065,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex2)) | (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 8.78/6.37 tff(19066,plain,
% 8.78/6.37 (v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19065, 648, 19062])).
% 8.78/6.37 tff(19067,plain,
% 8.78/6.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B))))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19068,plain,
% 8.78/6.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B))))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19069,plain,
% 8.78/6.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19068, 19067])).
% 8.78/6.37 tff(19070,plain,
% 8.78/6.37 (![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19069, 4392, 9802])).
% 8.78/6.37 tff(19071,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19072,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19073,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex2)) | (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19072, 19071])).
% 8.78/6.37 tff(19074,plain,
% 8.78/6.37 (v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19073, 648, 19070])).
% 8.78/6.37 tff(19075,plain,
% 8.78/6.37 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB113) | ![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB113) | ![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B))))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19076,plain,
% 8.78/6.37 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB113) | ![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B))))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19077,plain,
% 8.78/6.37 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB113) | ![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 8.78/6.37 tff(19078,plain,
% 8.78/6.37 (![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19077, 9823, 19039])).
% 8.78/6.37 tff(19079,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19080,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19081,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex2)) | (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19080, 19079])).
% 8.78/6.37 tff(19082,plain,
% 8.78/6.37 (v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19081, 648, 19078])).
% 8.78/6.37 tff(19083,plain,
% 8.78/6.37 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B))))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19084,plain,
% 8.78/6.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B))))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19085,plain,
% 8.78/6.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 8.78/6.37 tff(19086,plain,
% 8.78/6.37 ((~v121(constB113)) | ![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19085, 10207])).
% 8.78/6.37 tff(19087,plain,
% 8.78/6.37 (![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19086, 19010])).
% 8.78/6.37 tff(19088,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b011(bitIndex2)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19089,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b011(bitIndex2)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19090,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB113, bitIndex2) <=> b011(bitIndex2))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19089, 19088])).
% 8.78/6.37 tff(19091,plain,
% 8.78/6.37 (v130(constB113, bitIndex2) <=> b011(bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19090, 648, 19087])).
% 8.78/6.37 tff(19092,plain,
% 8.78/6.37 ((~(v130(constB113, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB113, bitIndex2)) | b011(bitIndex2)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19093,plain,
% 8.78/6.37 ((~(v130(constB113, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB113, bitIndex2))),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19092, 10219])).
% 8.78/6.37 tff(19094,plain,
% 8.78/6.37 (~v130(constB113, bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19093, 19091])).
% 8.78/6.37 tff(19095,plain,
% 8.78/6.37 ((~(v127(constB113, bitIndex2) <=> v130(constB113, bitIndex2))) | (~v127(constB113, bitIndex2)) | v130(constB113, bitIndex2)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19096,plain,
% 8.78/6.37 (~v127(constB113, bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19095, 19094, 19082])).
% 8.78/6.37 tff(19097,plain,
% 8.78/6.37 ((~(v129(constB114, bitIndex2) <=> v127(constB113, bitIndex2))) | (~v129(constB114, bitIndex2)) | v127(constB113, bitIndex2)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19098,plain,
% 8.78/6.37 (~v129(constB114, bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19097, 19096, 19074])).
% 8.78/6.37 tff(19099,plain,
% 8.78/6.37 ((~(v90(constB114, bitIndex2) <=> v129(constB114, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19100,plain,
% 8.78/6.37 (~v90(constB114, bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19099, 19098, 19066])).
% 8.78/6.37 tff(19101,plain,
% 8.78/6.37 ((~(v90(constB115, bitIndex2) <=> v90(constB114, bitIndex2))) | (~v90(constB115, bitIndex2)) | v90(constB114, bitIndex2)),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19102,plain,
% 8.78/6.37 (~v90(constB115, bitIndex2)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19101, 19100, 4389])).
% 8.78/6.37 tff(19103,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19104,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19105,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19104, 19103])).
% 8.78/6.37 tff(19106,plain,
% 8.78/6.37 (v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19105, 9653, 4385])).
% 8.78/6.37 tff(19107,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19108,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19109,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex0)) | (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19108, 19107])).
% 8.78/6.37 tff(19110,plain,
% 8.78/6.37 (v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19109, 9653, 19062])).
% 8.78/6.37 tff(19111,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19112,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19113,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex0)) | (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19112, 19111])).
% 8.78/6.37 tff(19114,plain,
% 8.78/6.37 (v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19113, 9653, 19070])).
% 8.78/6.37 tff(19115,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19116,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19117,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex0)) | (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 8.78/6.37 tff(19118,plain,
% 8.78/6.37 (v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19117, 9653, 19078])).
% 8.78/6.37 tff(19119,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b011(bitIndex0)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19120,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b011(bitIndex0)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19121,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB113, bitIndex0) <=> b011(bitIndex0))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19120, 19119])).
% 8.78/6.37 tff(19122,plain,
% 8.78/6.37 (v130(constB113, bitIndex0) <=> b011(bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19121, 9653, 19087])).
% 8.78/6.37 tff(19123,plain,
% 8.78/6.37 ((~(v130(constB113, bitIndex0) <=> b011(bitIndex0))) | v130(constB113, bitIndex0) | (~b011(bitIndex0))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19124,plain,
% 8.78/6.37 ((~(v130(constB113, bitIndex0) <=> b011(bitIndex0))) | v130(constB113, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19123, 10253])).
% 8.78/6.37 tff(19125,plain,
% 8.78/6.37 (v130(constB113, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19124, 19122])).
% 8.78/6.37 tff(19126,plain,
% 8.78/6.37 ((~(v127(constB113, bitIndex0) <=> v130(constB113, bitIndex0))) | v127(constB113, bitIndex0) | (~v130(constB113, bitIndex0))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19127,plain,
% 8.78/6.37 (v127(constB113, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19126, 19125, 19118])).
% 8.78/6.37 tff(19128,plain,
% 8.78/6.37 ((~(v129(constB114, bitIndex0) <=> v127(constB113, bitIndex0))) | v129(constB114, bitIndex0) | (~v127(constB113, bitIndex0))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19129,plain,
% 8.78/6.37 (v129(constB114, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19128, 19127, 19114])).
% 8.78/6.37 tff(19130,plain,
% 8.78/6.37 ((~(v90(constB114, bitIndex0) <=> v129(constB114, bitIndex0))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19131,plain,
% 8.78/6.37 (v90(constB114, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19130, 19129, 19110])).
% 8.78/6.37 tff(19132,plain,
% 8.78/6.37 ((~(v90(constB115, bitIndex0) <=> v90(constB114, bitIndex0))) | v90(constB115, bitIndex0) | (~v90(constB114, bitIndex0))),
% 8.78/6.37 inference(tautology,[status(thm)],[])).
% 8.78/6.37 tff(19133,plain,
% 8.78/6.37 (v90(constB115, bitIndex0)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19132, 19131, 19106])).
% 8.78/6.37 tff(19134,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19135,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19136,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB115, B) <=> v90(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19135, 19134])).
% 8.78/6.37 tff(19137,plain,
% 8.78/6.37 (v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19136, 375, 4385])).
% 8.78/6.37 tff(19138,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19139,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | ((~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19140,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v90(constB114, B) <=> v129(constB114, B)))) | (~less_3(bitIndex1)) | (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19139, 19138])).
% 8.78/6.37 tff(19141,plain,
% 8.78/6.37 (v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19140, 375, 19062])).
% 8.78/6.37 tff(19142,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19143,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | ((~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)))),
% 8.78/6.37 inference(quant_inst,[status(thm)],[])).
% 8.78/6.37 tff(19144,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v129(constB114, B) <=> v127(constB113, B)))) | (~less_3(bitIndex1)) | (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1))),
% 8.78/6.37 inference(modus_ponens,[status(thm)],[19143, 19142])).
% 8.78/6.37 tff(19145,plain,
% 8.78/6.37 (v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1)),
% 8.78/6.37 inference(unit_resolution,[status(thm)],[19144, 375, 19070])).
% 8.78/6.37 tff(19146,plain,
% 8.78/6.37 (((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)))),
% 8.78/6.37 inference(rewrite,[status(thm)],[])).
% 8.78/6.37 tff(19147,plain,
% 8.78/6.37 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | ((~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19148,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB113, B) <=> v130(constB113, B)))) | (~less_3(bitIndex1)) | (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19147, 19146])).
% 8.78/6.38 tff(19149,plain,
% 8.78/6.38 (v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19148, 375, 19078])).
% 8.78/6.38 tff(19150,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b011(bitIndex1)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19151,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b011(bitIndex1)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19152,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB113, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB113, bitIndex1) <=> b011(bitIndex1))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 8.78/6.38 tff(19153,plain,
% 8.78/6.38 (v130(constB113, bitIndex1) <=> b011(bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19152, 375, 19087])).
% 8.78/6.38 tff(19154,plain,
% 8.78/6.38 ((~(v130(constB113, bitIndex1) <=> b011(bitIndex1))) | v130(constB113, bitIndex1) | (~b011(bitIndex1))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19155,plain,
% 8.78/6.38 ((~(v130(constB113, bitIndex1) <=> b011(bitIndex1))) | v130(constB113, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19154, 10287])).
% 8.78/6.38 tff(19156,plain,
% 8.78/6.38 (v130(constB113, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19155, 19153])).
% 8.78/6.38 tff(19157,plain,
% 8.78/6.38 ((~(v127(constB113, bitIndex1) <=> v130(constB113, bitIndex1))) | v127(constB113, bitIndex1) | (~v130(constB113, bitIndex1))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19158,plain,
% 8.78/6.38 (v127(constB113, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19157, 19156, 19149])).
% 8.78/6.38 tff(19159,plain,
% 8.78/6.38 ((~(v129(constB114, bitIndex1) <=> v127(constB113, bitIndex1))) | v129(constB114, bitIndex1) | (~v127(constB113, bitIndex1))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19160,plain,
% 8.78/6.38 (v129(constB114, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19159, 19158, 19145])).
% 8.78/6.38 tff(19161,plain,
% 8.78/6.38 ((~(v90(constB114, bitIndex1) <=> v129(constB114, bitIndex1))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19162,plain,
% 8.78/6.38 (v90(constB114, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19161, 19160, 19141])).
% 8.78/6.38 tff(19163,plain,
% 8.78/6.38 ((~(v90(constB115, bitIndex1) <=> v90(constB114, bitIndex1))) | v90(constB115, bitIndex1) | (~v90(constB114, bitIndex1))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19164,plain,
% 8.78/6.38 (v90(constB115, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19163, 19162, 19137])).
% 8.78/6.38 tff(19165,plain,
% 8.78/6.38 ((~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19166,plain,
% 8.78/6.38 (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19165, 19164, 19133, 19102])).
% 8.78/6.38 tff(19167,plain,
% 8.78/6.38 ((~(v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))) | v122(constB115) | (v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19168,plain,
% 8.78/6.38 (v122(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19167, 19166, 4357])).
% 8.78/6.38 tff(19169,plain,
% 8.78/6.38 ((v117(constB115) | v122(constB115)) | (~v122(constB115))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19170,plain,
% 8.78/6.38 (v117(constB115) | v122(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19169, 19168])).
% 8.78/6.38 tff(19171,plain,
% 8.78/6.38 ((~(v116(constB115) <=> (v117(constB115) | v122(constB115)))) | v116(constB115) | (~(v117(constB115) | v122(constB115)))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19172,plain,
% 8.78/6.38 (v116(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19171, 19170, 4350])).
% 8.78/6.38 tff(19173,plain,
% 8.78/6.38 ((v116(constB115) | v123(constB115)) | (~v116(constB115))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19174,plain,
% 8.78/6.38 (v116(constB115) | v123(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19173, 19172])).
% 8.78/6.38 tff(19175,plain,
% 8.78/6.38 ((~(v115(constB115) <=> (v116(constB115) | v123(constB115)))) | v115(constB115) | (~(v116(constB115) | v123(constB115)))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19176,plain,
% 8.78/6.38 (v115(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19175, 19174, 4348])).
% 8.78/6.38 tff(19177,plain,
% 8.78/6.38 ((v115(constB115) | v124(constB115)) | (~v115(constB115))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19178,plain,
% 8.78/6.38 (v115(constB115) | v124(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19177, 19176])).
% 8.78/6.38 tff(19179,plain,
% 8.78/6.38 ((~(v114(constB115) <=> (v115(constB115) | v124(constB115)))) | v114(constB115) | (~(v115(constB115) | v124(constB115)))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19180,plain,
% 8.78/6.38 (v114(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19179, 19178, 4346])).
% 8.78/6.38 tff(19181,plain,
% 8.78/6.38 ((v114(constB115) | v125(constB115)) | (~v114(constB115))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19182,plain,
% 8.78/6.38 (v114(constB115) | v125(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19181, 19180])).
% 8.78/6.38 tff(19183,plain,
% 8.78/6.38 ((~(v113(constB115) <=> (v114(constB115) | v125(constB115)))) | v113(constB115) | (~(v114(constB115) | v125(constB115)))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19184,plain,
% 8.78/6.38 (v113(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19183, 19182, 4344])).
% 8.78/6.38 tff(19185,plain,
% 8.78/6.38 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB115)) <=> v111(constB115))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19186,plain,
% 8.78/6.38 ((~v126(constB115)) <=> v111(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19185, 9720])).
% 8.78/6.38 tff(19187,plain,
% 8.78/6.38 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB115) <=> v26(constB115))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19188,plain,
% 8.78/6.38 (v111(constB115) <=> v26(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19187, 9732])).
% 8.78/6.38 tff(19189,plain,
% 8.78/6.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19190,plain,
% 8.78/6.38 (~v26(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19189, 9744])).
% 8.78/6.38 tff(19191,plain,
% 8.78/6.38 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115)) | v26(constB115)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19192,plain,
% 8.78/6.38 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19191, 19190])).
% 8.78/6.38 tff(19193,plain,
% 8.78/6.38 (~v111(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19192, 19188])).
% 8.78/6.38 tff(19194,plain,
% 8.78/6.38 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115) | v111(constB115)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19195,plain,
% 8.78/6.38 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19194, 19193])).
% 8.78/6.38 tff(19196,plain,
% 8.78/6.38 (v126(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19195, 19186])).
% 8.78/6.38 tff(19197,plain,
% 8.78/6.38 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115)) | (~v126(constB115))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19198,plain,
% 8.78/6.38 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19197, 19196])).
% 8.78/6.38 tff(19199,plain,
% 8.78/6.38 (~((~v113(constB115)) | (~v126(constB115)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19198, 19184])).
% 8.78/6.38 tff(19200,plain,
% 8.78/6.38 ((~(v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))) | v112(constB115) | ((~v113(constB115)) | (~v126(constB115)))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19201,plain,
% 8.78/6.38 (v112(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19200, 19199, 4342])).
% 8.78/6.38 tff(19202,plain,
% 8.78/6.38 ((v111(constB115) | v112(constB115)) | (~v112(constB115))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19203,plain,
% 8.78/6.38 (v111(constB115) | v112(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19202, 19201])).
% 8.78/6.38 tff(19204,plain,
% 8.78/6.38 ((~(v108(constB115) <=> (v111(constB115) | v112(constB115)))) | v108(constB115) | (~(v111(constB115) | v112(constB115)))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19205,plain,
% 8.78/6.38 (v108(constB115)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19204, 19203, 4340])).
% 8.78/6.38 tff(19206,plain,
% 8.78/6.38 ((~(v110(constB116) <=> v108(constB115))) | v110(constB116) | (~v108(constB115))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19207,plain,
% 8.78/6.38 (v110(constB116)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19206, 19205, 4338])).
% 8.78/6.38 tff(19208,plain,
% 8.78/6.38 ((~((~v101(constB116)) | (~v110(constB116)))) | (~v101(constB116)) | (~v110(constB116))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19209,plain,
% 8.78/6.38 (~((~v101(constB116)) | (~v110(constB116)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19208, 19207, 4334])).
% 8.78/6.38 tff(19210,plain,
% 8.78/6.38 ((~(v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))) | v100(constB116) | ((~v101(constB116)) | (~v110(constB116)))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19211,plain,
% 8.78/6.38 (v100(constB116)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19210, 19209, 4303])).
% 8.78/6.38 tff(19212,plain,
% 8.78/6.38 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B))))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19213,plain,
% 8.78/6.38 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B))))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19214,plain,
% 8.78/6.38 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19213, 19212])).
% 8.78/6.38 tff(19215,plain,
% 8.78/6.38 ((~v100(constB116)) | ![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19214, 9780])).
% 8.78/6.38 tff(19216,plain,
% 8.78/6.38 (![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19215, 19211])).
% 8.78/6.38 tff(19217,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19218,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19219,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex2)) | (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 8.78/6.38 tff(19220,plain,
% 8.78/6.38 (v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19219, 648, 19216])).
% 8.78/6.38 tff(19221,plain,
% 8.78/6.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B))))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19222,plain,
% 8.78/6.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B))))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19223,plain,
% 8.78/6.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19222, 19221])).
% 8.78/6.38 tff(19224,plain,
% 8.78/6.38 (![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19223, 4299, 9802])).
% 8.78/6.38 tff(19225,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19226,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19227,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex2)) | (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19226, 19225])).
% 8.78/6.38 tff(19228,plain,
% 8.78/6.38 (v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19227, 648, 19224])).
% 8.78/6.38 tff(19229,plain,
% 8.78/6.38 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB115) | ![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB115) | ![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B))))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19230,plain,
% 8.78/6.38 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB115) | ![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B))))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19231,plain,
% 8.78/6.38 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB115) | ![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19230, 19229])).
% 8.78/6.38 tff(19232,plain,
% 8.78/6.38 (![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19231, 9823, 19193])).
% 8.78/6.38 tff(19233,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19234,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19235,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex2)) | (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 8.78/6.38 tff(19236,plain,
% 8.78/6.38 (v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19235, 648, 19232])).
% 8.78/6.38 tff(19237,plain,
% 8.78/6.38 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB115)) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB115)) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B))))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19238,plain,
% 8.78/6.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB115)) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B))))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19239,plain,
% 8.78/6.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB115)) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19238, 19237])).
% 8.78/6.38 tff(19240,plain,
% 8.78/6.38 ((~v122(constB115)) | ![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19239, 10383])).
% 8.78/6.38 tff(19241,plain,
% 8.78/6.38 (![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19240, 19168])).
% 8.78/6.38 tff(19242,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b100(bitIndex2)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19243,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b100(bitIndex2)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19244,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB115, bitIndex2) <=> b100(bitIndex2))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19243, 19242])).
% 8.78/6.38 tff(19245,plain,
% 8.78/6.38 (v130(constB115, bitIndex2) <=> b100(bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19244, 648, 19241])).
% 8.78/6.38 tff(19246,plain,
% 8.78/6.38 ((~(v130(constB115, bitIndex2) <=> b100(bitIndex2))) | v130(constB115, bitIndex2) | (~b100(bitIndex2))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19247,plain,
% 8.78/6.38 ((~(v130(constB115, bitIndex2) <=> b100(bitIndex2))) | v130(constB115, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19246, 10395])).
% 8.78/6.38 tff(19248,plain,
% 8.78/6.38 (v130(constB115, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19247, 19245])).
% 8.78/6.38 tff(19249,plain,
% 8.78/6.38 ((~(v127(constB115, bitIndex2) <=> v130(constB115, bitIndex2))) | v127(constB115, bitIndex2) | (~v130(constB115, bitIndex2))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19250,plain,
% 8.78/6.38 (v127(constB115, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19249, 19248, 19236])).
% 8.78/6.38 tff(19251,plain,
% 8.78/6.38 ((~(v129(constB116, bitIndex2) <=> v127(constB115, bitIndex2))) | v129(constB116, bitIndex2) | (~v127(constB115, bitIndex2))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19252,plain,
% 8.78/6.38 (v129(constB116, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19251, 19250, 19228])).
% 8.78/6.38 tff(19253,plain,
% 8.78/6.38 ((~(v90(constB116, bitIndex2) <=> v129(constB116, bitIndex2))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19254,plain,
% 8.78/6.38 (v90(constB116, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19253, 19252, 19220])).
% 8.78/6.38 tff(19255,plain,
% 8.78/6.38 ((~(v90(constB117, bitIndex2) <=> v90(constB116, bitIndex2))) | v90(constB117, bitIndex2) | (~v90(constB116, bitIndex2))),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19256,plain,
% 8.78/6.38 (v90(constB117, bitIndex2)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19255, 19254, 4296])).
% 8.78/6.38 tff(19257,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19258,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19259,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19258, 19257])).
% 8.78/6.38 tff(19260,plain,
% 8.78/6.38 (v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19259, 9653, 4292])).
% 8.78/6.38 tff(19261,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19262,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19263,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex0)) | (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19262, 19261])).
% 8.78/6.38 tff(19264,plain,
% 8.78/6.38 (v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19263, 9653, 19216])).
% 8.78/6.38 tff(19265,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19266,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19267,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex0)) | (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19266, 19265])).
% 8.78/6.38 tff(19268,plain,
% 8.78/6.38 (v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19267, 9653, 19224])).
% 8.78/6.38 tff(19269,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19270,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19271,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex0)) | (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 8.78/6.38 tff(19272,plain,
% 8.78/6.38 (v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19271, 9653, 19232])).
% 8.78/6.38 tff(19273,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b100(bitIndex0)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19274,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b100(bitIndex0)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19275,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB115, bitIndex0) <=> b100(bitIndex0))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 8.78/6.38 tff(19276,plain,
% 8.78/6.38 (v130(constB115, bitIndex0) <=> b100(bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19275, 9653, 19241])).
% 8.78/6.38 tff(19277,plain,
% 8.78/6.38 ((~(v130(constB115, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB115, bitIndex0)) | b100(bitIndex0)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19278,plain,
% 8.78/6.38 ((~(v130(constB115, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB115, bitIndex0))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19277, 10429])).
% 8.78/6.38 tff(19279,plain,
% 8.78/6.38 (~v130(constB115, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19278, 19276])).
% 8.78/6.38 tff(19280,plain,
% 8.78/6.38 ((~(v127(constB115, bitIndex0) <=> v130(constB115, bitIndex0))) | (~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19281,plain,
% 8.78/6.38 (~v127(constB115, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19280, 19279, 19272])).
% 8.78/6.38 tff(19282,plain,
% 8.78/6.38 ((~(v129(constB116, bitIndex0) <=> v127(constB115, bitIndex0))) | (~v129(constB116, bitIndex0)) | v127(constB115, bitIndex0)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19283,plain,
% 8.78/6.38 (~v129(constB116, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19282, 19281, 19268])).
% 8.78/6.38 tff(19284,plain,
% 8.78/6.38 ((~(v90(constB116, bitIndex0) <=> v129(constB116, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19285,plain,
% 8.78/6.38 (~v90(constB116, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19284, 19283, 19264])).
% 8.78/6.38 tff(19286,plain,
% 8.78/6.38 ((~(v90(constB117, bitIndex0) <=> v90(constB116, bitIndex0))) | (~v90(constB117, bitIndex0)) | v90(constB116, bitIndex0)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19287,plain,
% 8.78/6.38 (~v90(constB117, bitIndex0)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19286, 19285, 19260])).
% 8.78/6.38 tff(19288,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19289,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19290,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB117, B) <=> v90(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19289, 19288])).
% 8.78/6.38 tff(19291,plain,
% 8.78/6.38 (v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19290, 375, 4292])).
% 8.78/6.38 tff(19292,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19293,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | ((~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19294,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v90(constB116, B) <=> v129(constB116, B)))) | (~less_3(bitIndex1)) | (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19293, 19292])).
% 8.78/6.38 tff(19295,plain,
% 8.78/6.38 (v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19294, 375, 19216])).
% 8.78/6.38 tff(19296,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19297,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | ((~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19298,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v129(constB116, B) <=> v127(constB115, B)))) | (~less_3(bitIndex1)) | (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19297, 19296])).
% 8.78/6.38 tff(19299,plain,
% 8.78/6.38 (v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19298, 375, 19224])).
% 8.78/6.38 tff(19300,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19301,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | ((~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19302,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v127(constB115, B) <=> v130(constB115, B)))) | (~less_3(bitIndex1)) | (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 8.78/6.38 tff(19303,plain,
% 8.78/6.38 (v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19302, 375, 19232])).
% 8.78/6.38 tff(19304,plain,
% 8.78/6.38 (((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b100(bitIndex1)))),
% 8.78/6.38 inference(rewrite,[status(thm)],[])).
% 8.78/6.38 tff(19305,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b100(bitIndex1)))),
% 8.78/6.38 inference(quant_inst,[status(thm)],[])).
% 8.78/6.38 tff(19306,plain,
% 8.78/6.38 ((~![B: $i] : ((~less_3(B)) | (v130(constB115, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB115, bitIndex1) <=> b100(bitIndex1))),
% 8.78/6.38 inference(modus_ponens,[status(thm)],[19305, 19304])).
% 8.78/6.38 tff(19307,plain,
% 8.78/6.38 (v130(constB115, bitIndex1) <=> b100(bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19306, 375, 19241])).
% 8.78/6.38 tff(19308,plain,
% 8.78/6.38 ((~(v130(constB115, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB115, bitIndex1)) | b100(bitIndex1)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19309,plain,
% 8.78/6.38 ((~(v130(constB115, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB115, bitIndex1))),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19308, 10463])).
% 8.78/6.38 tff(19310,plain,
% 8.78/6.38 (~v130(constB115, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19309, 19307])).
% 8.78/6.38 tff(19311,plain,
% 8.78/6.38 ((~(v127(constB115, bitIndex1) <=> v130(constB115, bitIndex1))) | (~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19312,plain,
% 8.78/6.38 (~v127(constB115, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19311, 19310, 19303])).
% 8.78/6.38 tff(19313,plain,
% 8.78/6.38 ((~(v129(constB116, bitIndex1) <=> v127(constB115, bitIndex1))) | (~v129(constB116, bitIndex1)) | v127(constB115, bitIndex1)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19314,plain,
% 8.78/6.38 (~v129(constB116, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19313, 19312, 19299])).
% 8.78/6.38 tff(19315,plain,
% 8.78/6.38 ((~(v90(constB116, bitIndex1) <=> v129(constB116, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1)),
% 8.78/6.38 inference(tautology,[status(thm)],[])).
% 8.78/6.38 tff(19316,plain,
% 8.78/6.38 (~v90(constB116, bitIndex1)),
% 8.78/6.38 inference(unit_resolution,[status(thm)],[19315, 19314, 19295])).
% 8.78/6.39 tff(19317,plain,
% 8.78/6.39 ((~(v90(constB117, bitIndex1) <=> v90(constB116, bitIndex1))) | (~v90(constB117, bitIndex1)) | v90(constB116, bitIndex1)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19318,plain,
% 8.78/6.39 (~v90(constB117, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19317, 19316, 19291])).
% 8.78/6.39 tff(19319,plain,
% 8.78/6.39 ((~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))) | (~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19320,plain,
% 8.78/6.39 (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19319, 19318, 19287, 19256])).
% 8.78/6.39 tff(19321,plain,
% 8.78/6.39 ((~(v123(constB117) <=> (~((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))))) | v123(constB117) | ((~v90(constB117, bitIndex2)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19322,plain,
% 8.78/6.39 (v123(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19321, 19320, 4264])).
% 8.78/6.39 tff(19323,plain,
% 8.78/6.39 ((v116(constB117) | v123(constB117)) | (~v123(constB117))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19324,plain,
% 8.78/6.39 (v116(constB117) | v123(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19323, 19322])).
% 8.78/6.39 tff(19325,plain,
% 8.78/6.39 ((~(v115(constB117) <=> (v116(constB117) | v123(constB117)))) | v115(constB117) | (~(v116(constB117) | v123(constB117)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19326,plain,
% 8.78/6.39 (v115(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19325, 19324, 4257])).
% 8.78/6.39 tff(19327,plain,
% 8.78/6.39 ((v115(constB117) | v124(constB117)) | (~v115(constB117))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19328,plain,
% 8.78/6.39 (v115(constB117) | v124(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19327, 19326])).
% 8.78/6.39 tff(19329,plain,
% 8.78/6.39 ((~(v114(constB117) <=> (v115(constB117) | v124(constB117)))) | v114(constB117) | (~(v115(constB117) | v124(constB117)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19330,plain,
% 8.78/6.39 (v114(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19329, 19328, 4255])).
% 8.78/6.39 tff(19331,plain,
% 8.78/6.39 ((v114(constB117) | v125(constB117)) | (~v114(constB117))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19332,plain,
% 8.78/6.39 (v114(constB117) | v125(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19331, 19330])).
% 8.78/6.39 tff(19333,plain,
% 8.78/6.39 ((~(v113(constB117) <=> (v114(constB117) | v125(constB117)))) | v113(constB117) | (~(v114(constB117) | v125(constB117)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19334,plain,
% 8.78/6.39 (v113(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19333, 19332, 4253])).
% 8.78/6.39 tff(19335,plain,
% 8.78/6.39 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB117)) <=> v111(constB117))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19336,plain,
% 8.78/6.39 ((~v126(constB117)) <=> v111(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19335, 9720])).
% 8.78/6.39 tff(19337,plain,
% 8.78/6.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB117) <=> v26(constB117))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19338,plain,
% 8.78/6.39 (v111(constB117) <=> v26(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19337, 9732])).
% 8.78/6.39 tff(19339,plain,
% 8.78/6.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19340,plain,
% 8.78/6.39 (~v26(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19339, 9744])).
% 8.78/6.39 tff(19341,plain,
% 8.78/6.39 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117)) | v26(constB117)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19342,plain,
% 8.78/6.39 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19341, 19340])).
% 8.78/6.39 tff(19343,plain,
% 8.78/6.39 (~v111(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19342, 19338])).
% 8.78/6.39 tff(19344,plain,
% 8.78/6.39 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117) | v111(constB117)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19345,plain,
% 8.78/6.39 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19344, 19343])).
% 8.78/6.39 tff(19346,plain,
% 8.78/6.39 (v126(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19345, 19336])).
% 8.78/6.39 tff(19347,plain,
% 8.78/6.39 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117)) | (~v126(constB117))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19348,plain,
% 8.78/6.39 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19347, 19346])).
% 8.78/6.39 tff(19349,plain,
% 8.78/6.39 (~((~v113(constB117)) | (~v126(constB117)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19348, 19334])).
% 8.78/6.39 tff(19350,plain,
% 8.78/6.39 ((~(v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))) | v112(constB117) | ((~v113(constB117)) | (~v126(constB117)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19351,plain,
% 8.78/6.39 (v112(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19350, 19349, 4251])).
% 8.78/6.39 tff(19352,plain,
% 8.78/6.39 ((v111(constB117) | v112(constB117)) | (~v112(constB117))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19353,plain,
% 8.78/6.39 (v111(constB117) | v112(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19352, 19351])).
% 8.78/6.39 tff(19354,plain,
% 8.78/6.39 ((~(v108(constB117) <=> (v111(constB117) | v112(constB117)))) | v108(constB117) | (~(v111(constB117) | v112(constB117)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19355,plain,
% 8.78/6.39 (v108(constB117)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19354, 19353, 4249])).
% 8.78/6.39 tff(19356,plain,
% 8.78/6.39 ((~(v110(constB118) <=> v108(constB117))) | v110(constB118) | (~v108(constB117))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19357,plain,
% 8.78/6.39 (v110(constB118)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19356, 19355, 4247])).
% 8.78/6.39 tff(19358,plain,
% 8.78/6.39 ((~((~v101(constB118)) | (~v110(constB118)))) | (~v101(constB118)) | (~v110(constB118))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19359,plain,
% 8.78/6.39 (~((~v101(constB118)) | (~v110(constB118)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19358, 19357, 4243])).
% 8.78/6.39 tff(19360,plain,
% 8.78/6.39 ((~(v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))) | v100(constB118) | ((~v101(constB118)) | (~v110(constB118)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19361,plain,
% 8.78/6.39 (v100(constB118)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19360, 19359, 4212])).
% 8.78/6.39 tff(19362,plain,
% 8.78/6.39 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B))))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19363,plain,
% 8.78/6.39 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B))))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19364,plain,
% 8.78/6.39 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19363, 19362])).
% 8.78/6.39 tff(19365,plain,
% 8.78/6.39 ((~v100(constB118)) | ![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19364, 9780])).
% 8.78/6.39 tff(19366,plain,
% 8.78/6.39 (![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19365, 19361])).
% 8.78/6.39 tff(19367,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19368,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19369,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex2)) | (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19368, 19367])).
% 8.78/6.39 tff(19370,plain,
% 8.78/6.39 (v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19369, 648, 19366])).
% 8.78/6.39 tff(19371,plain,
% 8.78/6.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B))))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19372,plain,
% 8.78/6.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B))))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19373,plain,
% 8.78/6.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19372, 19371])).
% 8.78/6.39 tff(19374,plain,
% 8.78/6.39 (![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19373, 4208, 9802])).
% 8.78/6.39 tff(19375,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19376,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19377,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex2)) | (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19376, 19375])).
% 8.78/6.39 tff(19378,plain,
% 8.78/6.39 (v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19377, 648, 19374])).
% 8.78/6.39 tff(19379,plain,
% 8.78/6.39 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB117) | ![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB117) | ![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B))))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19380,plain,
% 8.78/6.39 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB117) | ![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B))))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19381,plain,
% 8.78/6.39 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB117) | ![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19380, 19379])).
% 8.78/6.39 tff(19382,plain,
% 8.78/6.39 (![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19381, 9823, 19343])).
% 8.78/6.39 tff(19383,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19384,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19385,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex2)) | (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 8.78/6.39 tff(19386,plain,
% 8.78/6.39 (v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19385, 648, 19382])).
% 8.78/6.39 tff(19387,plain,
% 8.78/6.39 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B))))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19388,plain,
% 8.78/6.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B))))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19389,plain,
% 8.78/6.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19388, 19387])).
% 8.78/6.39 tff(19390,plain,
% 8.78/6.39 ((~v123(constB117)) | ![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19389, 10555])).
% 8.78/6.39 tff(19391,plain,
% 8.78/6.39 (![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19390, 19322])).
% 8.78/6.39 tff(19392,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b101(bitIndex2)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19393,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b101(bitIndex2)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19394,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB117, bitIndex2) <=> b101(bitIndex2))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19393, 19392])).
% 8.78/6.39 tff(19395,plain,
% 8.78/6.39 (v130(constB117, bitIndex2) <=> b101(bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19394, 648, 19391])).
% 8.78/6.39 tff(19396,plain,
% 8.78/6.39 ((~(v130(constB117, bitIndex2) <=> b101(bitIndex2))) | v130(constB117, bitIndex2) | (~b101(bitIndex2))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19397,plain,
% 8.78/6.39 ((~(v130(constB117, bitIndex2) <=> b101(bitIndex2))) | v130(constB117, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19396, 10567])).
% 8.78/6.39 tff(19398,plain,
% 8.78/6.39 (v130(constB117, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19397, 19395])).
% 8.78/6.39 tff(19399,plain,
% 8.78/6.39 ((~(v127(constB117, bitIndex2) <=> v130(constB117, bitIndex2))) | v127(constB117, bitIndex2) | (~v130(constB117, bitIndex2))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19400,plain,
% 8.78/6.39 (v127(constB117, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19399, 19398, 19386])).
% 8.78/6.39 tff(19401,plain,
% 8.78/6.39 ((~(v129(constB118, bitIndex2) <=> v127(constB117, bitIndex2))) | v129(constB118, bitIndex2) | (~v127(constB117, bitIndex2))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19402,plain,
% 8.78/6.39 (v129(constB118, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19401, 19400, 19378])).
% 8.78/6.39 tff(19403,plain,
% 8.78/6.39 ((~(v90(constB118, bitIndex2) <=> v129(constB118, bitIndex2))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19404,plain,
% 8.78/6.39 (v90(constB118, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19403, 19402, 19370])).
% 8.78/6.39 tff(19405,plain,
% 8.78/6.39 ((~(v90(constB119, bitIndex2) <=> v90(constB118, bitIndex2))) | v90(constB119, bitIndex2) | (~v90(constB118, bitIndex2))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19406,plain,
% 8.78/6.39 (v90(constB119, bitIndex2)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19405, 19404, 4205])).
% 8.78/6.39 tff(19407,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19408,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19409,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19408, 19407])).
% 8.78/6.39 tff(19410,plain,
% 8.78/6.39 (v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19409, 9653, 4201])).
% 8.78/6.39 tff(19411,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19412,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19413,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex0)) | (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19412, 19411])).
% 8.78/6.39 tff(19414,plain,
% 8.78/6.39 (v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19413, 9653, 19366])).
% 8.78/6.39 tff(19415,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19416,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19417,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex0)) | (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19416, 19415])).
% 8.78/6.39 tff(19418,plain,
% 8.78/6.39 (v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19417, 9653, 19374])).
% 8.78/6.39 tff(19419,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19420,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19421,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex0)) | (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19420, 19419])).
% 8.78/6.39 tff(19422,plain,
% 8.78/6.39 (v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19421, 9653, 19382])).
% 8.78/6.39 tff(19423,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b101(bitIndex0)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19424,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b101(bitIndex0)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19425,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB117, bitIndex0) <=> b101(bitIndex0))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19424, 19423])).
% 8.78/6.39 tff(19426,plain,
% 8.78/6.39 (v130(constB117, bitIndex0) <=> b101(bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19425, 9653, 19391])).
% 8.78/6.39 tff(19427,plain,
% 8.78/6.39 ((~(v130(constB117, bitIndex0) <=> b101(bitIndex0))) | v130(constB117, bitIndex0) | (~b101(bitIndex0))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19428,plain,
% 8.78/6.39 ((~(v130(constB117, bitIndex0) <=> b101(bitIndex0))) | v130(constB117, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19427, 10601])).
% 8.78/6.39 tff(19429,plain,
% 8.78/6.39 (v130(constB117, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19428, 19426])).
% 8.78/6.39 tff(19430,plain,
% 8.78/6.39 ((~(v127(constB117, bitIndex0) <=> v130(constB117, bitIndex0))) | v127(constB117, bitIndex0) | (~v130(constB117, bitIndex0))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19431,plain,
% 8.78/6.39 (v127(constB117, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19430, 19429, 19422])).
% 8.78/6.39 tff(19432,plain,
% 8.78/6.39 ((~(v129(constB118, bitIndex0) <=> v127(constB117, bitIndex0))) | v129(constB118, bitIndex0) | (~v127(constB117, bitIndex0))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19433,plain,
% 8.78/6.39 (v129(constB118, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19432, 19431, 19418])).
% 8.78/6.39 tff(19434,plain,
% 8.78/6.39 ((~(v90(constB118, bitIndex0) <=> v129(constB118, bitIndex0))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19435,plain,
% 8.78/6.39 (v90(constB118, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19434, 19433, 19414])).
% 8.78/6.39 tff(19436,plain,
% 8.78/6.39 ((~(v90(constB119, bitIndex0) <=> v90(constB118, bitIndex0))) | v90(constB119, bitIndex0) | (~v90(constB118, bitIndex0))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19437,plain,
% 8.78/6.39 (v90(constB119, bitIndex0)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19436, 19435, 19410])).
% 8.78/6.39 tff(19438,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19439,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19440,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB119, B) <=> v90(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19439, 19438])).
% 8.78/6.39 tff(19441,plain,
% 8.78/6.39 (v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19440, 375, 4201])).
% 8.78/6.39 tff(19442,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19443,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | ((~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19444,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v90(constB118, B) <=> v129(constB118, B)))) | (~less_3(bitIndex1)) | (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19443, 19442])).
% 8.78/6.39 tff(19445,plain,
% 8.78/6.39 (v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19444, 375, 19366])).
% 8.78/6.39 tff(19446,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19447,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | ((~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19448,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v129(constB118, B) <=> v127(constB117, B)))) | (~less_3(bitIndex1)) | (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19447, 19446])).
% 8.78/6.39 tff(19449,plain,
% 8.78/6.39 (v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19448, 375, 19374])).
% 8.78/6.39 tff(19450,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19451,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | ((~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19452,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v127(constB117, B) <=> v130(constB117, B)))) | (~less_3(bitIndex1)) | (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19451, 19450])).
% 8.78/6.39 tff(19453,plain,
% 8.78/6.39 (v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19452, 375, 19382])).
% 8.78/6.39 tff(19454,plain,
% 8.78/6.39 (((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b101(bitIndex1)))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.39 tff(19455,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b101(bitIndex1)))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19456,plain,
% 8.78/6.39 ((~![B: $i] : ((~less_3(B)) | (v130(constB117, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB117, bitIndex1) <=> b101(bitIndex1))),
% 8.78/6.39 inference(modus_ponens,[status(thm)],[19455, 19454])).
% 8.78/6.39 tff(19457,plain,
% 8.78/6.39 (v130(constB117, bitIndex1) <=> b101(bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19456, 375, 19391])).
% 8.78/6.39 tff(19458,plain,
% 8.78/6.39 ((~(v130(constB117, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB117, bitIndex1)) | b101(bitIndex1)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19459,plain,
% 8.78/6.39 ((~(v130(constB117, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB117, bitIndex1))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19458, 10635])).
% 8.78/6.39 tff(19460,plain,
% 8.78/6.39 (~v130(constB117, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19459, 19457])).
% 8.78/6.39 tff(19461,plain,
% 8.78/6.39 ((~(v127(constB117, bitIndex1) <=> v130(constB117, bitIndex1))) | (~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19462,plain,
% 8.78/6.39 (~v127(constB117, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19461, 19460, 19453])).
% 8.78/6.39 tff(19463,plain,
% 8.78/6.39 ((~(v129(constB118, bitIndex1) <=> v127(constB117, bitIndex1))) | (~v129(constB118, bitIndex1)) | v127(constB117, bitIndex1)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19464,plain,
% 8.78/6.39 (~v129(constB118, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19463, 19462, 19449])).
% 8.78/6.39 tff(19465,plain,
% 8.78/6.39 ((~(v90(constB118, bitIndex1) <=> v129(constB118, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19466,plain,
% 8.78/6.39 (~v90(constB118, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19465, 19464, 19445])).
% 8.78/6.39 tff(19467,plain,
% 8.78/6.39 ((~(v90(constB119, bitIndex1) <=> v90(constB118, bitIndex1))) | (~v90(constB119, bitIndex1)) | v90(constB118, bitIndex1)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19468,plain,
% 8.78/6.39 (~v90(constB119, bitIndex1)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19467, 19466, 19441])).
% 8.78/6.39 tff(19469,plain,
% 8.78/6.39 ((~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))) | (~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19470,plain,
% 8.78/6.39 (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19469, 19468, 19437, 19406])).
% 8.78/6.39 tff(19471,plain,
% 8.78/6.39 ((~(v124(constB119) <=> (~((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))))) | v124(constB119) | ((~v90(constB119, bitIndex2)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19472,plain,
% 8.78/6.39 (v124(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19471, 19470, 4173])).
% 8.78/6.39 tff(19473,plain,
% 8.78/6.39 ((v115(constB119) | v124(constB119)) | (~v124(constB119))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19474,plain,
% 8.78/6.39 (v115(constB119) | v124(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19473, 19472])).
% 8.78/6.39 tff(19475,plain,
% 8.78/6.39 ((~(v114(constB119) <=> (v115(constB119) | v124(constB119)))) | v114(constB119) | (~(v115(constB119) | v124(constB119)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19476,plain,
% 8.78/6.39 (v114(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19475, 19474, 4166])).
% 8.78/6.39 tff(19477,plain,
% 8.78/6.39 ((v114(constB119) | v125(constB119)) | (~v114(constB119))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19478,plain,
% 8.78/6.39 (v114(constB119) | v125(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19477, 19476])).
% 8.78/6.39 tff(19479,plain,
% 8.78/6.39 ((~(v113(constB119) <=> (v114(constB119) | v125(constB119)))) | v113(constB119) | (~(v114(constB119) | v125(constB119)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19480,plain,
% 8.78/6.39 (v113(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19479, 19478, 4164])).
% 8.78/6.39 tff(19481,plain,
% 8.78/6.39 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB119)) <=> v111(constB119))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19482,plain,
% 8.78/6.39 ((~v126(constB119)) <=> v111(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19481, 9720])).
% 8.78/6.39 tff(19483,plain,
% 8.78/6.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB119) <=> v26(constB119))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19484,plain,
% 8.78/6.39 (v111(constB119) <=> v26(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19483, 9732])).
% 8.78/6.39 tff(19485,plain,
% 8.78/6.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 8.78/6.39 inference(quant_inst,[status(thm)],[])).
% 8.78/6.39 tff(19486,plain,
% 8.78/6.39 (~v26(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19485, 9744])).
% 8.78/6.39 tff(19487,plain,
% 8.78/6.39 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119)) | v26(constB119)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19488,plain,
% 8.78/6.39 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19487, 19486])).
% 8.78/6.39 tff(19489,plain,
% 8.78/6.39 (~v111(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19488, 19484])).
% 8.78/6.39 tff(19490,plain,
% 8.78/6.39 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119) | v111(constB119)),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19491,plain,
% 8.78/6.39 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19490, 19489])).
% 8.78/6.39 tff(19492,plain,
% 8.78/6.39 (v126(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19491, 19482])).
% 8.78/6.39 tff(19493,plain,
% 8.78/6.39 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119)) | (~v126(constB119))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19494,plain,
% 8.78/6.39 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19493, 19492])).
% 8.78/6.39 tff(19495,plain,
% 8.78/6.39 (~((~v113(constB119)) | (~v126(constB119)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19494, 19480])).
% 8.78/6.39 tff(19496,plain,
% 8.78/6.39 ((~(v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))) | v112(constB119) | ((~v113(constB119)) | (~v126(constB119)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19497,plain,
% 8.78/6.39 (v112(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19496, 19495, 4162])).
% 8.78/6.39 tff(19498,plain,
% 8.78/6.39 ((v111(constB119) | v112(constB119)) | (~v112(constB119))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19499,plain,
% 8.78/6.39 (v111(constB119) | v112(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19498, 19497])).
% 8.78/6.39 tff(19500,plain,
% 8.78/6.39 ((~(v108(constB119) <=> (v111(constB119) | v112(constB119)))) | v108(constB119) | (~(v111(constB119) | v112(constB119)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19501,plain,
% 8.78/6.39 (v108(constB119)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19500, 19499, 4160])).
% 8.78/6.39 tff(19502,plain,
% 8.78/6.39 ((~(v110(constB120) <=> v108(constB119))) | v110(constB120) | (~v108(constB119))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19503,plain,
% 8.78/6.39 (v110(constB120)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19502, 19501, 4158])).
% 8.78/6.39 tff(19504,plain,
% 8.78/6.39 ((~((~v101(constB120)) | (~v110(constB120)))) | (~v101(constB120)) | (~v110(constB120))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19505,plain,
% 8.78/6.39 (~((~v101(constB120)) | (~v110(constB120)))),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19504, 19503, 4154])).
% 8.78/6.39 tff(19506,plain,
% 8.78/6.39 ((~(v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))) | v100(constB120) | ((~v101(constB120)) | (~v110(constB120)))),
% 8.78/6.39 inference(tautology,[status(thm)],[])).
% 8.78/6.39 tff(19507,plain,
% 8.78/6.39 (v100(constB120)),
% 8.78/6.39 inference(unit_resolution,[status(thm)],[19506, 19505, 4123])).
% 8.78/6.39 tff(19508,plain,
% 8.78/6.39 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B))))),
% 8.78/6.39 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19509,plain,
% 8.78/6.40 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B))))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19510,plain,
% 8.78/6.40 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 8.78/6.40 tff(19511,plain,
% 8.78/6.40 ((~v100(constB120)) | ![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19510, 9780])).
% 8.78/6.40 tff(19512,plain,
% 8.78/6.40 (![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19511, 19507])).
% 8.78/6.40 tff(19513,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19514,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19515,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex2)) | (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19514, 19513])).
% 8.78/6.40 tff(19516,plain,
% 8.78/6.40 (v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19515, 648, 19512])).
% 8.78/6.40 tff(19517,plain,
% 8.78/6.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B))))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19518,plain,
% 8.78/6.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B))))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19519,plain,
% 8.78/6.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19518, 19517])).
% 8.78/6.40 tff(19520,plain,
% 8.78/6.40 (![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19519, 4119, 9802])).
% 8.78/6.40 tff(19521,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19522,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19523,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex2)) | (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 8.78/6.40 tff(19524,plain,
% 8.78/6.40 (v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19523, 648, 19520])).
% 8.78/6.40 tff(19525,plain,
% 8.78/6.40 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB119) | ![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB119) | ![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B))))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19526,plain,
% 8.78/6.40 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB119) | ![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B))))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19527,plain,
% 8.78/6.40 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB119) | ![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19526, 19525])).
% 8.78/6.40 tff(19528,plain,
% 8.78/6.40 (![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19527, 9823, 19489])).
% 8.78/6.40 tff(19529,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19530,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19531,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex2)) | (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19530, 19529])).
% 8.78/6.40 tff(19532,plain,
% 8.78/6.40 (v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19531, 648, 19528])).
% 8.78/6.40 tff(19533,plain,
% 8.78/6.40 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B))))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19534,plain,
% 8.78/6.40 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B))))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19535,plain,
% 8.78/6.40 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19534, 19533])).
% 8.78/6.40 tff(19536,plain,
% 8.78/6.40 ((~v124(constB119)) | ![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19535, 10723])).
% 8.78/6.40 tff(19537,plain,
% 8.78/6.40 (![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19536, 19472])).
% 8.78/6.40 tff(19538,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b110(bitIndex2)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19539,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b110(bitIndex2)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19540,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB119, bitIndex2) <=> b110(bitIndex2))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19539, 19538])).
% 8.78/6.40 tff(19541,plain,
% 8.78/6.40 (v130(constB119, bitIndex2) <=> b110(bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19540, 648, 19537])).
% 8.78/6.40 tff(19542,plain,
% 8.78/6.40 ((~(v130(constB119, bitIndex2) <=> b110(bitIndex2))) | v130(constB119, bitIndex2) | (~b110(bitIndex2))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19543,plain,
% 8.78/6.40 ((~(v130(constB119, bitIndex2) <=> b110(bitIndex2))) | v130(constB119, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19542, 10735])).
% 8.78/6.40 tff(19544,plain,
% 8.78/6.40 (v130(constB119, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19543, 19541])).
% 8.78/6.40 tff(19545,plain,
% 8.78/6.40 ((~(v127(constB119, bitIndex2) <=> v130(constB119, bitIndex2))) | v127(constB119, bitIndex2) | (~v130(constB119, bitIndex2))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19546,plain,
% 8.78/6.40 (v127(constB119, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19545, 19544, 19532])).
% 8.78/6.40 tff(19547,plain,
% 8.78/6.40 ((~(v129(constB120, bitIndex2) <=> v127(constB119, bitIndex2))) | v129(constB120, bitIndex2) | (~v127(constB119, bitIndex2))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19548,plain,
% 8.78/6.40 (v129(constB120, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19547, 19546, 19524])).
% 8.78/6.40 tff(19549,plain,
% 8.78/6.40 ((~(v90(constB120, bitIndex2) <=> v129(constB120, bitIndex2))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19550,plain,
% 8.78/6.40 (v90(constB120, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19549, 19548, 19516])).
% 8.78/6.40 tff(19551,plain,
% 8.78/6.40 ((~(v90(constB121, bitIndex2) <=> v90(constB120, bitIndex2))) | v90(constB121, bitIndex2) | (~v90(constB120, bitIndex2))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19552,plain,
% 8.78/6.40 (v90(constB121, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19551, 19550, 4116])).
% 8.78/6.40 tff(19553,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19554,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19555,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19554, 19553])).
% 8.78/6.40 tff(19556,plain,
% 8.78/6.40 (v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19555, 9653, 4112])).
% 8.78/6.40 tff(19557,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19558,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19559,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex0)) | (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19558, 19557])).
% 8.78/6.40 tff(19560,plain,
% 8.78/6.40 (v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19559, 9653, 19512])).
% 8.78/6.40 tff(19561,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19562,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19563,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex0)) | (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19562, 19561])).
% 8.78/6.40 tff(19564,plain,
% 8.78/6.40 (v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19563, 9653, 19520])).
% 8.78/6.40 tff(19565,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19566,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19567,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex0)) | (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19566, 19565])).
% 8.78/6.40 tff(19568,plain,
% 8.78/6.40 (v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19567, 9653, 19528])).
% 8.78/6.40 tff(19569,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b110(bitIndex0)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19570,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b110(bitIndex0)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19571,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB119, bitIndex0) <=> b110(bitIndex0))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19570, 19569])).
% 8.78/6.40 tff(19572,plain,
% 8.78/6.40 (v130(constB119, bitIndex0) <=> b110(bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19571, 9653, 19537])).
% 8.78/6.40 tff(19573,plain,
% 8.78/6.40 ((~(v130(constB119, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB119, bitIndex0)) | b110(bitIndex0)),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19574,plain,
% 8.78/6.40 ((~(v130(constB119, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB119, bitIndex0))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19573, 10769])).
% 8.78/6.40 tff(19575,plain,
% 8.78/6.40 (~v130(constB119, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19574, 19572])).
% 8.78/6.40 tff(19576,plain,
% 8.78/6.40 ((~(v127(constB119, bitIndex0) <=> v130(constB119, bitIndex0))) | (~v127(constB119, bitIndex0)) | v130(constB119, bitIndex0)),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19577,plain,
% 8.78/6.40 (~v127(constB119, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19576, 19575, 19568])).
% 8.78/6.40 tff(19578,plain,
% 8.78/6.40 ((~(v129(constB120, bitIndex0) <=> v127(constB119, bitIndex0))) | (~v129(constB120, bitIndex0)) | v127(constB119, bitIndex0)),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19579,plain,
% 8.78/6.40 (~v129(constB120, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19578, 19577, 19564])).
% 8.78/6.40 tff(19580,plain,
% 8.78/6.40 ((~(v90(constB120, bitIndex0) <=> v129(constB120, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0)),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19581,plain,
% 8.78/6.40 (~v90(constB120, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19580, 19579, 19560])).
% 8.78/6.40 tff(19582,plain,
% 8.78/6.40 ((~(v90(constB121, bitIndex0) <=> v90(constB120, bitIndex0))) | (~v90(constB121, bitIndex0)) | v90(constB120, bitIndex0)),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19583,plain,
% 8.78/6.40 (~v90(constB121, bitIndex0)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19582, 19581, 19556])).
% 8.78/6.40 tff(19584,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19585,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19586,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB121, B) <=> v90(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19585, 19584])).
% 8.78/6.40 tff(19587,plain,
% 8.78/6.40 (v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19586, 375, 4112])).
% 8.78/6.40 tff(19588,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19589,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | ((~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19590,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB120, B) <=> v129(constB120, B)))) | (~less_3(bitIndex1)) | (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19589, 19588])).
% 8.78/6.40 tff(19591,plain,
% 8.78/6.40 (v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19590, 375, 19512])).
% 8.78/6.40 tff(19592,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19593,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | ((~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19594,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v129(constB120, B) <=> v127(constB119, B)))) | (~less_3(bitIndex1)) | (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19593, 19592])).
% 8.78/6.40 tff(19595,plain,
% 8.78/6.40 (v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19594, 375, 19520])).
% 8.78/6.40 tff(19596,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19597,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | ((~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19598,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v127(constB119, B) <=> v130(constB119, B)))) | (~less_3(bitIndex1)) | (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19597, 19596])).
% 8.78/6.40 tff(19599,plain,
% 8.78/6.40 (v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19598, 375, 19528])).
% 8.78/6.40 tff(19600,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b110(bitIndex1)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19601,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b110(bitIndex1)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19602,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v130(constB119, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB119, bitIndex1) <=> b110(bitIndex1))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19601, 19600])).
% 8.78/6.40 tff(19603,plain,
% 8.78/6.40 (v130(constB119, bitIndex1) <=> b110(bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19602, 375, 19537])).
% 8.78/6.40 tff(19604,plain,
% 8.78/6.40 ((~(v130(constB119, bitIndex1) <=> b110(bitIndex1))) | v130(constB119, bitIndex1) | (~b110(bitIndex1))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19605,plain,
% 8.78/6.40 ((~(v130(constB119, bitIndex1) <=> b110(bitIndex1))) | v130(constB119, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19604, 10803])).
% 8.78/6.40 tff(19606,plain,
% 8.78/6.40 (v130(constB119, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19605, 19603])).
% 8.78/6.40 tff(19607,plain,
% 8.78/6.40 ((~(v127(constB119, bitIndex1) <=> v130(constB119, bitIndex1))) | v127(constB119, bitIndex1) | (~v130(constB119, bitIndex1))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19608,plain,
% 8.78/6.40 (v127(constB119, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19607, 19606, 19599])).
% 8.78/6.40 tff(19609,plain,
% 8.78/6.40 ((~(v129(constB120, bitIndex1) <=> v127(constB119, bitIndex1))) | v129(constB120, bitIndex1) | (~v127(constB119, bitIndex1))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19610,plain,
% 8.78/6.40 (v129(constB120, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19609, 19608, 19595])).
% 8.78/6.40 tff(19611,plain,
% 8.78/6.40 ((~(v90(constB120, bitIndex1) <=> v129(constB120, bitIndex1))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19612,plain,
% 8.78/6.40 (v90(constB120, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19611, 19610, 19591])).
% 8.78/6.40 tff(19613,plain,
% 8.78/6.40 ((~(v90(constB121, bitIndex1) <=> v90(constB120, bitIndex1))) | v90(constB121, bitIndex1) | (~v90(constB120, bitIndex1))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19614,plain,
% 8.78/6.40 (v90(constB121, bitIndex1)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19613, 19612, 19587])).
% 8.78/6.40 tff(19615,plain,
% 8.78/6.40 ((~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19616,plain,
% 8.78/6.40 (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19615, 19614, 19583, 19552])).
% 8.78/6.40 tff(19617,plain,
% 8.78/6.40 ((~(v125(constB121) <=> (~((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))) | v125(constB121) | ((~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19618,plain,
% 8.78/6.40 (v125(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19617, 19616, 4084])).
% 8.78/6.40 tff(19619,plain,
% 8.78/6.40 ((v114(constB121) | v125(constB121)) | (~v125(constB121))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19620,plain,
% 8.78/6.40 (v114(constB121) | v125(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19619, 19618])).
% 8.78/6.40 tff(19621,plain,
% 8.78/6.40 ((~(v113(constB121) <=> (v114(constB121) | v125(constB121)))) | v113(constB121) | (~(v114(constB121) | v125(constB121)))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19622,plain,
% 8.78/6.40 (v113(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19621, 19620, 4077])).
% 8.78/6.40 tff(19623,plain,
% 8.78/6.40 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB121)) <=> v111(constB121))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19624,plain,
% 8.78/6.40 ((~v126(constB121)) <=> v111(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19623, 9720])).
% 8.78/6.40 tff(19625,plain,
% 8.78/6.40 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB121) <=> v26(constB121))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19626,plain,
% 8.78/6.40 (v111(constB121) <=> v26(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19625, 9732])).
% 8.78/6.40 tff(19627,plain,
% 8.78/6.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19628,plain,
% 8.78/6.40 (~v26(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19627, 9744])).
% 8.78/6.40 tff(19629,plain,
% 8.78/6.40 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121)) | v26(constB121)),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19630,plain,
% 8.78/6.40 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19629, 19628])).
% 8.78/6.40 tff(19631,plain,
% 8.78/6.40 (~v111(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19630, 19626])).
% 8.78/6.40 tff(19632,plain,
% 8.78/6.40 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121) | v111(constB121)),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19633,plain,
% 8.78/6.40 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19632, 19631])).
% 8.78/6.40 tff(19634,plain,
% 8.78/6.40 (v126(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19633, 19624])).
% 8.78/6.40 tff(19635,plain,
% 8.78/6.40 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121)) | (~v126(constB121))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19636,plain,
% 8.78/6.40 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19635, 19634])).
% 8.78/6.40 tff(19637,plain,
% 8.78/6.40 (~((~v113(constB121)) | (~v126(constB121)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19636, 19622])).
% 8.78/6.40 tff(19638,plain,
% 8.78/6.40 ((~(v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))) | v112(constB121) | ((~v113(constB121)) | (~v126(constB121)))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19639,plain,
% 8.78/6.40 (v112(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19638, 19637, 4075])).
% 8.78/6.40 tff(19640,plain,
% 8.78/6.40 ((v111(constB121) | v112(constB121)) | (~v112(constB121))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19641,plain,
% 8.78/6.40 (v111(constB121) | v112(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19640, 19639])).
% 8.78/6.40 tff(19642,plain,
% 8.78/6.40 ((~(v108(constB121) <=> (v111(constB121) | v112(constB121)))) | v108(constB121) | (~(v111(constB121) | v112(constB121)))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19643,plain,
% 8.78/6.40 (v108(constB121)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19642, 19641, 4073])).
% 8.78/6.40 tff(19644,plain,
% 8.78/6.40 ((~(v110(constB122) <=> v108(constB121))) | v110(constB122) | (~v108(constB121))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19645,plain,
% 8.78/6.40 (v110(constB122)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19644, 19643, 4071])).
% 8.78/6.40 tff(19646,plain,
% 8.78/6.40 ((~((~v101(constB122)) | (~v110(constB122)))) | (~v101(constB122)) | (~v110(constB122))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19647,plain,
% 8.78/6.40 (~((~v101(constB122)) | (~v110(constB122)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19646, 19645, 4067])).
% 8.78/6.40 tff(19648,plain,
% 8.78/6.40 ((~(v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))) | v100(constB122) | ((~v101(constB122)) | (~v110(constB122)))),
% 8.78/6.40 inference(tautology,[status(thm)],[])).
% 8.78/6.40 tff(19649,plain,
% 8.78/6.40 (v100(constB122)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19648, 19647, 4036])).
% 8.78/6.40 tff(19650,plain,
% 8.78/6.40 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B))))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19651,plain,
% 8.78/6.40 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B))))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19652,plain,
% 8.78/6.40 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19651, 19650])).
% 8.78/6.40 tff(19653,plain,
% 8.78/6.40 ((~v100(constB122)) | ![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19652, 9780])).
% 8.78/6.40 tff(19654,plain,
% 8.78/6.40 (![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19653, 19649])).
% 8.78/6.40 tff(19655,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19656,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19657,plain,
% 8.78/6.40 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex2)) | (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19656, 19655])).
% 8.78/6.40 tff(19658,plain,
% 8.78/6.40 (v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2)),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19657, 648, 19654])).
% 8.78/6.40 tff(19659,plain,
% 8.78/6.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B))))),
% 8.78/6.40 inference(rewrite,[status(thm)],[])).
% 8.78/6.40 tff(19660,plain,
% 8.78/6.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B))))),
% 8.78/6.40 inference(quant_inst,[status(thm)],[])).
% 8.78/6.40 tff(19661,plain,
% 8.78/6.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))),
% 8.78/6.40 inference(modus_ponens,[status(thm)],[19660, 19659])).
% 8.78/6.40 tff(19662,plain,
% 8.78/6.40 (![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))),
% 8.78/6.40 inference(unit_resolution,[status(thm)],[19661, 4032, 9802])).
% 8.78/6.40 tff(19663,plain,
% 8.78/6.40 (((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19664,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19665,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex2)) | (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19664, 19663])).
% 8.78/6.41 tff(19666,plain,
% 8.78/6.41 (v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19665, 648, 19662])).
% 8.78/6.41 tff(19667,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB121) | ![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB121) | ![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19668,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB121) | ![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B))))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19669,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB121) | ![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19668, 19667])).
% 8.78/6.41 tff(19670,plain,
% 8.78/6.41 (![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19669, 9823, 19631])).
% 8.78/6.41 tff(19671,plain,
% 8.78/6.41 (((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19672,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19673,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex2)) | (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19672, 19671])).
% 8.78/6.41 tff(19674,plain,
% 8.78/6.41 (v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19673, 648, 19670])).
% 8.78/6.41 tff(19675,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19676,plain,
% 8.78/6.41 (v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19675, 9620])).
% 8.78/6.41 tff(19677,plain,
% 8.78/6.41 ((v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex2))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19678,plain,
% 8.78/6.41 (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19677, 19552])).
% 8.78/6.41 tff(19679,plain,
% 8.78/6.41 ((~(v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))))) | (~v119(constB121)) | (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19680,plain,
% 8.78/6.41 (~v119(constB121)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19679, 19678, 19676])).
% 8.78/6.41 tff(19681,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19682,plain,
% 8.78/6.41 ((v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2))))) <=> (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19683,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(monotonicity,[status(thm)],[19682])).
% 8.78/6.41 tff(19684,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(transitivity,[status(thm)],[19683, 19681])).
% 8.78/6.41 tff(19685,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2)))))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19686,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19685, 19684])).
% 8.78/6.41 tff(19687,plain,
% 8.78/6.41 (v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19686, 815])).
% 8.78/6.41 tff(19688,plain,
% 8.78/6.41 (((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex1))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19689,plain,
% 8.78/6.41 ((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19688, 19614])).
% 8.78/6.41 tff(19690,plain,
% 8.78/6.41 ((~(v124(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))) | (~v124(constB121)) | (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19691,plain,
% 8.78/6.41 (~v124(constB121)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19690, 19689, 19687])).
% 8.78/6.41 tff(19692,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19693,plain,
% 8.78/6.41 ((v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2))))) <=> (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19694,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(monotonicity,[status(thm)],[19693])).
% 8.78/6.41 tff(19695,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(transitivity,[status(thm)],[19694, 19692])).
% 8.78/6.41 tff(19696,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)))))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19697,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 8.78/6.41 tff(19698,plain,
% 8.78/6.41 (v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19697, 919])).
% 8.78/6.41 tff(19699,plain,
% 8.78/6.41 (((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19700,plain,
% 8.78/6.41 ((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19699, 19614])).
% 8.78/6.41 tff(19701,plain,
% 8.78/6.41 ((~(v123(constB121) <=> (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0))))) | (~v123(constB121)) | (~((~v90(constB121, bitIndex2)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex0)))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19702,plain,
% 8.78/6.41 (~v123(constB121)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19701, 19700, 19698])).
% 8.78/6.41 tff(19703,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19704,plain,
% 8.78/6.41 ((v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1))))) <=> (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19705,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(monotonicity,[status(thm)],[19704])).
% 8.78/6.41 tff(19706,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(transitivity,[status(thm)],[19705, 19703])).
% 8.78/6.41 tff(19707,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19708,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19707, 19706])).
% 8.78/6.41 tff(19709,plain,
% 8.78/6.41 (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19708, 1025])).
% 8.78/6.41 tff(19710,plain,
% 8.78/6.41 ((v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex2))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19711,plain,
% 8.78/6.41 (v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19710, 19552])).
% 8.78/6.41 tff(19712,plain,
% 8.78/6.41 ((~(v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))) | (~v122(constB121)) | (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19713,plain,
% 8.78/6.41 (~v122(constB121)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19712, 19711, 19709])).
% 8.78/6.41 tff(19714,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19715,plain,
% 8.78/6.41 ((v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1))))) <=> (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19716,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(monotonicity,[status(thm)],[19715])).
% 8.78/6.41 tff(19717,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(transitivity,[status(thm)],[19716, 19714])).
% 8.78/6.41 tff(19718,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)))))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19719,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19718, 19717])).
% 8.78/6.41 tff(19720,plain,
% 8.78/6.41 (v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19719, 1133])).
% 8.78/6.41 tff(19721,plain,
% 8.78/6.41 ((v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19722,plain,
% 8.78/6.41 (v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19721, 19552])).
% 8.78/6.41 tff(19723,plain,
% 8.78/6.41 ((~(v121(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0))))) | (~v121(constB121)) | (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex0)))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19724,plain,
% 8.78/6.41 (~v121(constB121)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19723, 19722, 19720])).
% 8.78/6.41 tff(19725,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19726,plain,
% 8.78/6.41 ((v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0))))) <=> (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19727,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(monotonicity,[status(thm)],[19726])).
% 8.78/6.41 tff(19728,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))))),
% 8.78/6.41 inference(transitivity,[status(thm)],[19727, 19725])).
% 8.78/6.41 tff(19729,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19730,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19729, 19728])).
% 8.78/6.41 tff(19731,plain,
% 8.78/6.41 (v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19730, 610])).
% 8.78/6.41 tff(19732,plain,
% 8.78/6.41 ((v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex2))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19733,plain,
% 8.78/6.41 (v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19732, 19552])).
% 8.78/6.41 tff(19734,plain,
% 8.78/6.41 ((~(v120(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)))))) | (~v120(constB121)) | (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0))))),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19735,plain,
% 8.78/6.41 (~v120(constB121)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19734, 19733, 19731])).
% 8.78/6.41 tff(19736,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19737,plain,
% 8.78/6.41 ((v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) <=> (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B))))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19738,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))))),
% 8.78/6.41 inference(monotonicity,[status(thm)],[19737])).
% 8.78/6.41 tff(19739,plain,
% 8.78/6.41 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B))))),
% 8.78/6.41 inference(transitivity,[status(thm)],[19738, 19736])).
% 8.78/6.41 tff(19740,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B))))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19741,plain,
% 8.78/6.41 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19740, 19739])).
% 8.78/6.41 tff(19742,plain,
% 8.78/6.41 (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | ![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19741, 10951])).
% 8.78/6.41 tff(19743,plain,
% 8.78/6.41 (![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19742, 19735, 19724, 19713, 19702, 19691, 19680])).
% 8.78/6.41 tff(19744,plain,
% 8.78/6.41 (((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b001(bitIndex2)))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19745,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b001(bitIndex2)))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19746,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB121, bitIndex2) <=> b001(bitIndex2))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 8.78/6.41 tff(19747,plain,
% 8.78/6.41 (v130(constB121, bitIndex2) <=> b001(bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19746, 648, 19743])).
% 8.78/6.41 tff(19748,plain,
% 8.78/6.41 ((~(v130(constB121, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB121, bitIndex2)) | b001(bitIndex2)),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19749,plain,
% 8.78/6.41 ((~(v130(constB121, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB121, bitIndex2))),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19748, 9855])).
% 8.78/6.41 tff(19750,plain,
% 8.78/6.41 (~v130(constB121, bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19749, 19747])).
% 8.78/6.41 tff(19751,plain,
% 8.78/6.41 ((~(v127(constB121, bitIndex2) <=> v130(constB121, bitIndex2))) | (~v127(constB121, bitIndex2)) | v130(constB121, bitIndex2)),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19752,plain,
% 8.78/6.41 (~v127(constB121, bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19751, 19750, 19674])).
% 8.78/6.41 tff(19753,plain,
% 8.78/6.41 ((~(v129(constB122, bitIndex2) <=> v127(constB121, bitIndex2))) | (~v129(constB122, bitIndex2)) | v127(constB121, bitIndex2)),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19754,plain,
% 8.78/6.41 (~v129(constB122, bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19753, 19752, 19666])).
% 8.78/6.41 tff(19755,plain,
% 8.78/6.41 ((~(v90(constB122, bitIndex2) <=> v129(constB122, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2)),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19756,plain,
% 8.78/6.41 (~v90(constB122, bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19755, 19754, 19658])).
% 8.78/6.41 tff(19757,plain,
% 8.78/6.41 ((~(v90(constB123, bitIndex2) <=> v90(constB122, bitIndex2))) | (~v90(constB123, bitIndex2)) | v90(constB122, bitIndex2)),
% 8.78/6.41 inference(tautology,[status(thm)],[])).
% 8.78/6.41 tff(19758,plain,
% 8.78/6.41 (~v90(constB123, bitIndex2)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19757, 19756, 4029])).
% 8.78/6.41 tff(19759,plain,
% 8.78/6.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19760,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19761,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19760, 19759])).
% 8.78/6.41 tff(19762,plain,
% 8.78/6.41 (v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19761, 9653, 4025])).
% 8.78/6.41 tff(19763,plain,
% 8.78/6.41 (((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19764,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19765,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex0)) | (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19764, 19763])).
% 8.78/6.41 tff(19766,plain,
% 8.78/6.41 (v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19765, 9653, 19654])).
% 8.78/6.41 tff(19767,plain,
% 8.78/6.41 (((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19768,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19769,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex0)) | (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19768, 19767])).
% 8.78/6.41 tff(19770,plain,
% 8.78/6.41 (v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0)),
% 8.78/6.41 inference(unit_resolution,[status(thm)],[19769, 9653, 19662])).
% 8.78/6.41 tff(19771,plain,
% 8.78/6.41 (((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)))),
% 8.78/6.41 inference(rewrite,[status(thm)],[])).
% 8.78/6.41 tff(19772,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)))),
% 8.78/6.41 inference(quant_inst,[status(thm)],[])).
% 8.78/6.41 tff(19773,plain,
% 8.78/6.41 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex0)) | (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0))),
% 8.78/6.41 inference(modus_ponens,[status(thm)],[19772, 19771])).
% 8.78/6.42 tff(19774,plain,
% 8.78/6.42 (v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19773, 9653, 19670])).
% 8.78/6.42 tff(19775,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b001(bitIndex0)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19776,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b001(bitIndex0)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19777,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB121, bitIndex0) <=> b001(bitIndex0))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19776, 19775])).
% 8.78/6.42 tff(19778,plain,
% 8.78/6.42 (v130(constB121, bitIndex0) <=> b001(bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19777, 9653, 19743])).
% 8.78/6.42 tff(19779,plain,
% 8.78/6.42 ((~(v130(constB121, bitIndex0) <=> b001(bitIndex0))) | v130(constB121, bitIndex0) | (~b001(bitIndex0))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19780,plain,
% 8.78/6.42 ((~(v130(constB121, bitIndex0) <=> b001(bitIndex0))) | v130(constB121, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19779, 9889])).
% 8.78/6.42 tff(19781,plain,
% 8.78/6.42 (v130(constB121, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19780, 19778])).
% 8.78/6.42 tff(19782,plain,
% 8.78/6.42 ((~(v127(constB121, bitIndex0) <=> v130(constB121, bitIndex0))) | v127(constB121, bitIndex0) | (~v130(constB121, bitIndex0))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19783,plain,
% 8.78/6.42 (v127(constB121, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19782, 19781, 19774])).
% 8.78/6.42 tff(19784,plain,
% 8.78/6.42 ((~(v129(constB122, bitIndex0) <=> v127(constB121, bitIndex0))) | v129(constB122, bitIndex0) | (~v127(constB121, bitIndex0))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19785,plain,
% 8.78/6.42 (v129(constB122, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19784, 19783, 19770])).
% 8.78/6.42 tff(19786,plain,
% 8.78/6.42 ((~(v90(constB122, bitIndex0) <=> v129(constB122, bitIndex0))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19787,plain,
% 8.78/6.42 (v90(constB122, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19786, 19785, 19766])).
% 8.78/6.42 tff(19788,plain,
% 8.78/6.42 ((~(v90(constB123, bitIndex0) <=> v90(constB122, bitIndex0))) | v90(constB123, bitIndex0) | (~v90(constB122, bitIndex0))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19789,plain,
% 8.78/6.42 (v90(constB123, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19788, 19787, 19762])).
% 8.78/6.42 tff(19790,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19791,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19792,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB123, B) <=> v90(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19791, 19790])).
% 8.78/6.42 tff(19793,plain,
% 8.78/6.42 (v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19792, 375, 4025])).
% 8.78/6.42 tff(19794,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19795,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | ((~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19796,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB122, B) <=> v129(constB122, B)))) | (~less_3(bitIndex1)) | (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19795, 19794])).
% 8.78/6.42 tff(19797,plain,
% 8.78/6.42 (v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19796, 375, 19654])).
% 8.78/6.42 tff(19798,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19799,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | ((~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19800,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB122, B) <=> v127(constB121, B)))) | (~less_3(bitIndex1)) | (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19799, 19798])).
% 8.78/6.42 tff(19801,plain,
% 8.78/6.42 (v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19800, 375, 19662])).
% 8.78/6.42 tff(19802,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19803,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | ((~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19804,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB121, B) <=> v130(constB121, B)))) | (~less_3(bitIndex1)) | (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19803, 19802])).
% 8.78/6.42 tff(19805,plain,
% 8.78/6.42 (v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19804, 375, 19670])).
% 8.78/6.42 tff(19806,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b001(bitIndex1)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19807,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b001(bitIndex1)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19808,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB121, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB121, bitIndex1) <=> b001(bitIndex1))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19807, 19806])).
% 8.78/6.42 tff(19809,plain,
% 8.78/6.42 (v130(constB121, bitIndex1) <=> b001(bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19808, 375, 19743])).
% 8.78/6.42 tff(19810,plain,
% 8.78/6.42 ((~(v130(constB121, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB121, bitIndex1)) | b001(bitIndex1)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19811,plain,
% 8.78/6.42 ((~(v130(constB121, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB121, bitIndex1))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19810, 9923])).
% 8.78/6.42 tff(19812,plain,
% 8.78/6.42 (~v130(constB121, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19811, 19809])).
% 8.78/6.42 tff(19813,plain,
% 8.78/6.42 ((~(v127(constB121, bitIndex1) <=> v130(constB121, bitIndex1))) | (~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19814,plain,
% 8.78/6.42 (~v127(constB121, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19813, 19812, 19805])).
% 8.78/6.42 tff(19815,plain,
% 8.78/6.42 ((~(v129(constB122, bitIndex1) <=> v127(constB121, bitIndex1))) | (~v129(constB122, bitIndex1)) | v127(constB121, bitIndex1)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19816,plain,
% 8.78/6.42 (~v129(constB122, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19815, 19814, 19801])).
% 8.78/6.42 tff(19817,plain,
% 8.78/6.42 ((~(v90(constB122, bitIndex1) <=> v129(constB122, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19818,plain,
% 8.78/6.42 (~v90(constB122, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19817, 19816, 19797])).
% 8.78/6.42 tff(19819,plain,
% 8.78/6.42 ((~(v90(constB123, bitIndex1) <=> v90(constB122, bitIndex1))) | (~v90(constB123, bitIndex1)) | v90(constB122, bitIndex1)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19820,plain,
% 8.78/6.42 (~v90(constB123, bitIndex1)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19819, 19818, 19793])).
% 8.78/6.42 tff(19821,plain,
% 8.78/6.42 ((~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))) | v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19822,plain,
% 8.78/6.42 (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19821, 19820, 19789, 19758])).
% 8.78/6.42 tff(19823,plain,
% 8.78/6.42 ((~(v120(constB123) <=> (~(v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))))) | v120(constB123) | (v90(constB123, bitIndex2) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex0)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19824,plain,
% 8.78/6.42 (v120(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19823, 19822, 3997])).
% 8.78/6.42 tff(19825,plain,
% 8.78/6.42 ((v119(constB123) | v120(constB123)) | (~v120(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19826,plain,
% 8.78/6.42 (v119(constB123) | v120(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19825, 19824])).
% 8.78/6.42 tff(19827,plain,
% 8.78/6.42 ((~(v118(constB123) <=> (v119(constB123) | v120(constB123)))) | v118(constB123) | (~(v119(constB123) | v120(constB123)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19828,plain,
% 8.78/6.42 (v118(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19827, 19826, 3990])).
% 8.78/6.42 tff(19829,plain,
% 8.78/6.42 ((v118(constB123) | v121(constB123)) | (~v118(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19830,plain,
% 8.78/6.42 (v118(constB123) | v121(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19829, 19828])).
% 8.78/6.42 tff(19831,plain,
% 8.78/6.42 ((~(v117(constB123) <=> (v118(constB123) | v121(constB123)))) | v117(constB123) | (~(v118(constB123) | v121(constB123)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19832,plain,
% 8.78/6.42 (v117(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19831, 19830, 3988])).
% 8.78/6.42 tff(19833,plain,
% 8.78/6.42 ((v117(constB123) | v122(constB123)) | (~v117(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19834,plain,
% 8.78/6.42 (v117(constB123) | v122(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19833, 19832])).
% 8.78/6.42 tff(19835,plain,
% 8.78/6.42 ((~(v116(constB123) <=> (v117(constB123) | v122(constB123)))) | v116(constB123) | (~(v117(constB123) | v122(constB123)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19836,plain,
% 8.78/6.42 (v116(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19835, 19834, 3986])).
% 8.78/6.42 tff(19837,plain,
% 8.78/6.42 ((v116(constB123) | v123(constB123)) | (~v116(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19838,plain,
% 8.78/6.42 (v116(constB123) | v123(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19837, 19836])).
% 8.78/6.42 tff(19839,plain,
% 8.78/6.42 ((~(v115(constB123) <=> (v116(constB123) | v123(constB123)))) | v115(constB123) | (~(v116(constB123) | v123(constB123)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19840,plain,
% 8.78/6.42 (v115(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19839, 19838, 3984])).
% 8.78/6.42 tff(19841,plain,
% 8.78/6.42 ((v115(constB123) | v124(constB123)) | (~v115(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19842,plain,
% 8.78/6.42 (v115(constB123) | v124(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19841, 19840])).
% 8.78/6.42 tff(19843,plain,
% 8.78/6.42 ((~(v114(constB123) <=> (v115(constB123) | v124(constB123)))) | v114(constB123) | (~(v115(constB123) | v124(constB123)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19844,plain,
% 8.78/6.42 (v114(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19843, 19842, 3982])).
% 8.78/6.42 tff(19845,plain,
% 8.78/6.42 ((v114(constB123) | v125(constB123)) | (~v114(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19846,plain,
% 8.78/6.42 (v114(constB123) | v125(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19845, 19844])).
% 8.78/6.42 tff(19847,plain,
% 8.78/6.42 ((~(v113(constB123) <=> (v114(constB123) | v125(constB123)))) | v113(constB123) | (~(v114(constB123) | v125(constB123)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19848,plain,
% 8.78/6.42 (v113(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19847, 19846, 3980])).
% 8.78/6.42 tff(19849,plain,
% 8.78/6.42 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB123)) <=> v111(constB123))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19850,plain,
% 8.78/6.42 ((~v126(constB123)) <=> v111(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19849, 9720])).
% 8.78/6.42 tff(19851,plain,
% 8.78/6.42 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB123) <=> v26(constB123))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19852,plain,
% 8.78/6.42 (v111(constB123) <=> v26(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19851, 9732])).
% 8.78/6.42 tff(19853,plain,
% 8.78/6.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19854,plain,
% 8.78/6.42 (~v26(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19853, 9744])).
% 8.78/6.42 tff(19855,plain,
% 8.78/6.42 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123)) | v26(constB123)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19856,plain,
% 8.78/6.42 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19855, 19854])).
% 8.78/6.42 tff(19857,plain,
% 8.78/6.42 (~v111(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19856, 19852])).
% 8.78/6.42 tff(19858,plain,
% 8.78/6.42 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123) | v111(constB123)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19859,plain,
% 8.78/6.42 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19858, 19857])).
% 8.78/6.42 tff(19860,plain,
% 8.78/6.42 (v126(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19859, 19850])).
% 8.78/6.42 tff(19861,plain,
% 8.78/6.42 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123)) | (~v126(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19862,plain,
% 8.78/6.42 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19861, 19860])).
% 8.78/6.42 tff(19863,plain,
% 8.78/6.42 (~((~v113(constB123)) | (~v126(constB123)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19862, 19848])).
% 8.78/6.42 tff(19864,plain,
% 8.78/6.42 ((~(v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))) | v112(constB123) | ((~v113(constB123)) | (~v126(constB123)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19865,plain,
% 8.78/6.42 (v112(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19864, 19863, 3978])).
% 8.78/6.42 tff(19866,plain,
% 8.78/6.42 ((v111(constB123) | v112(constB123)) | (~v112(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19867,plain,
% 8.78/6.42 (v111(constB123) | v112(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19866, 19865])).
% 8.78/6.42 tff(19868,plain,
% 8.78/6.42 ((~(v108(constB123) <=> (v111(constB123) | v112(constB123)))) | v108(constB123) | (~(v111(constB123) | v112(constB123)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19869,plain,
% 8.78/6.42 (v108(constB123)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19868, 19867, 3976])).
% 8.78/6.42 tff(19870,plain,
% 8.78/6.42 ((~(v110(constB124) <=> v108(constB123))) | v110(constB124) | (~v108(constB123))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19871,plain,
% 8.78/6.42 (v110(constB124)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19870, 19869, 3974])).
% 8.78/6.42 tff(19872,plain,
% 8.78/6.42 ((~((~v101(constB124)) | (~v110(constB124)))) | (~v101(constB124)) | (~v110(constB124))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19873,plain,
% 8.78/6.42 (~((~v101(constB124)) | (~v110(constB124)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19872, 19871, 3970])).
% 8.78/6.42 tff(19874,plain,
% 8.78/6.42 ((~(v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))) | v100(constB124) | ((~v101(constB124)) | (~v110(constB124)))),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19875,plain,
% 8.78/6.42 (v100(constB124)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19874, 19873, 3939])).
% 8.78/6.42 tff(19876,plain,
% 8.78/6.42 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B))))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19877,plain,
% 8.78/6.42 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B))))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19878,plain,
% 8.78/6.42 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19877, 19876])).
% 8.78/6.42 tff(19879,plain,
% 8.78/6.42 ((~v100(constB124)) | ![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19878, 9780])).
% 8.78/6.42 tff(19880,plain,
% 8.78/6.42 (![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19879, 19875])).
% 8.78/6.42 tff(19881,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19882,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19883,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex2)) | (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19882, 19881])).
% 8.78/6.42 tff(19884,plain,
% 8.78/6.42 (v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19883, 648, 19880])).
% 8.78/6.42 tff(19885,plain,
% 8.78/6.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B))))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19886,plain,
% 8.78/6.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B))))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19887,plain,
% 8.78/6.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19886, 19885])).
% 8.78/6.42 tff(19888,plain,
% 8.78/6.42 (![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19887, 3935, 9802])).
% 8.78/6.42 tff(19889,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19890,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19891,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex2)) | (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19890, 19889])).
% 8.78/6.42 tff(19892,plain,
% 8.78/6.42 (v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19891, 648, 19888])).
% 8.78/6.42 tff(19893,plain,
% 8.78/6.42 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB123) | ![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB123) | ![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B))))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19894,plain,
% 8.78/6.42 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB123) | ![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B))))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19895,plain,
% 8.78/6.42 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB123) | ![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19894, 19893])).
% 8.78/6.42 tff(19896,plain,
% 8.78/6.42 (![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19895, 9823, 19857])).
% 8.78/6.42 tff(19897,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19898,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19899,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex2)) | (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19898, 19897])).
% 8.78/6.42 tff(19900,plain,
% 8.78/6.42 (v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19899, 648, 19896])).
% 8.78/6.42 tff(19901,plain,
% 8.78/6.42 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B))))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19902,plain,
% 8.78/6.42 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B))))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19903,plain,
% 8.78/6.42 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19902, 19901])).
% 8.78/6.42 tff(19904,plain,
% 8.78/6.42 ((~v120(constB123)) | ![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19903, 10027])).
% 8.78/6.42 tff(19905,plain,
% 8.78/6.42 (![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19904, 19824])).
% 8.78/6.42 tff(19906,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b010(bitIndex2)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19907,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b010(bitIndex2)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19908,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB123, bitIndex2) <=> b010(bitIndex2))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 8.78/6.42 tff(19909,plain,
% 8.78/6.42 (v130(constB123, bitIndex2) <=> b010(bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19908, 648, 19905])).
% 8.78/6.42 tff(19910,plain,
% 8.78/6.42 ((~(v130(constB123, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB123, bitIndex2)) | b010(bitIndex2)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19911,plain,
% 8.78/6.42 ((~(v130(constB123, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB123, bitIndex2))),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19910, 10039])).
% 8.78/6.42 tff(19912,plain,
% 8.78/6.42 (~v130(constB123, bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19911, 19909])).
% 8.78/6.42 tff(19913,plain,
% 8.78/6.42 ((~(v127(constB123, bitIndex2) <=> v130(constB123, bitIndex2))) | (~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19914,plain,
% 8.78/6.42 (~v127(constB123, bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19913, 19912, 19900])).
% 8.78/6.42 tff(19915,plain,
% 8.78/6.42 ((~(v129(constB124, bitIndex2) <=> v127(constB123, bitIndex2))) | (~v129(constB124, bitIndex2)) | v127(constB123, bitIndex2)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19916,plain,
% 8.78/6.42 (~v129(constB124, bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19915, 19914, 19892])).
% 8.78/6.42 tff(19917,plain,
% 8.78/6.42 ((~(v90(constB124, bitIndex2) <=> v129(constB124, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19918,plain,
% 8.78/6.42 (~v90(constB124, bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19917, 19916, 19884])).
% 8.78/6.42 tff(19919,plain,
% 8.78/6.42 ((~(v90(constB125, bitIndex2) <=> v90(constB124, bitIndex2))) | (~v90(constB125, bitIndex2)) | v90(constB124, bitIndex2)),
% 8.78/6.42 inference(tautology,[status(thm)],[])).
% 8.78/6.42 tff(19920,plain,
% 8.78/6.42 (~v90(constB125, bitIndex2)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19919, 19918, 3932])).
% 8.78/6.42 tff(19921,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19922,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19923,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19922, 19921])).
% 8.78/6.42 tff(19924,plain,
% 8.78/6.42 (v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19923, 9653, 3928])).
% 8.78/6.42 tff(19925,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19926,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19927,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex0)) | (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19926, 19925])).
% 8.78/6.42 tff(19928,plain,
% 8.78/6.42 (v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19927, 9653, 19880])).
% 8.78/6.42 tff(19929,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19930,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19931,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex0)) | (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19930, 19929])).
% 8.78/6.42 tff(19932,plain,
% 8.78/6.42 (v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19931, 9653, 19888])).
% 8.78/6.42 tff(19933,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19934,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.42 tff(19935,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex0)) | (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0))),
% 8.78/6.42 inference(modus_ponens,[status(thm)],[19934, 19933])).
% 8.78/6.42 tff(19936,plain,
% 8.78/6.42 (v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0)),
% 8.78/6.42 inference(unit_resolution,[status(thm)],[19935, 9653, 19896])).
% 8.78/6.42 tff(19937,plain,
% 8.78/6.42 (((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b010(bitIndex0)))),
% 8.78/6.42 inference(rewrite,[status(thm)],[])).
% 8.78/6.42 tff(19938,plain,
% 8.78/6.42 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b010(bitIndex0)))),
% 8.78/6.42 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(19939,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB123, bitIndex0) <=> b010(bitIndex0))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[19938, 19937])).
% 8.78/6.43 tff(19940,plain,
% 8.78/6.43 (v130(constB123, bitIndex0) <=> b010(bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19939, 9653, 19905])).
% 8.78/6.43 tff(19941,plain,
% 8.78/6.43 ((~(v130(constB123, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB123, bitIndex0)) | b010(bitIndex0)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19942,plain,
% 8.78/6.43 ((~(v130(constB123, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB123, bitIndex0))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19941, 10073])).
% 8.78/6.43 tff(19943,plain,
% 8.78/6.43 (~v130(constB123, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19942, 19940])).
% 8.78/6.43 tff(19944,plain,
% 8.78/6.43 ((~(v127(constB123, bitIndex0) <=> v130(constB123, bitIndex0))) | (~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19945,plain,
% 8.78/6.43 (~v127(constB123, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19944, 19943, 19936])).
% 8.78/6.43 tff(19946,plain,
% 8.78/6.43 ((~(v129(constB124, bitIndex0) <=> v127(constB123, bitIndex0))) | (~v129(constB124, bitIndex0)) | v127(constB123, bitIndex0)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19947,plain,
% 8.78/6.43 (~v129(constB124, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19946, 19945, 19932])).
% 8.78/6.43 tff(19948,plain,
% 8.78/6.43 ((~(v90(constB124, bitIndex0) <=> v129(constB124, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19949,plain,
% 8.78/6.43 (~v90(constB124, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19948, 19947, 19928])).
% 8.78/6.43 tff(19950,plain,
% 8.78/6.43 ((~(v90(constB125, bitIndex0) <=> v90(constB124, bitIndex0))) | (~v90(constB125, bitIndex0)) | v90(constB124, bitIndex0)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19951,plain,
% 8.78/6.43 (~v90(constB125, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19950, 19949, 19924])).
% 8.78/6.43 tff(19952,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(19953,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(19954,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB125, B) <=> v90(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[19953, 19952])).
% 8.78/6.43 tff(19955,plain,
% 8.78/6.43 (v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19954, 375, 3928])).
% 8.78/6.43 tff(19956,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(19957,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | ((~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(19958,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB124, B) <=> v129(constB124, B)))) | (~less_3(bitIndex1)) | (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[19957, 19956])).
% 8.78/6.43 tff(19959,plain,
% 8.78/6.43 (v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19958, 375, 19880])).
% 8.78/6.43 tff(19960,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(19961,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | ((~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(19962,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB124, B) <=> v127(constB123, B)))) | (~less_3(bitIndex1)) | (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 8.78/6.43 tff(19963,plain,
% 8.78/6.43 (v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19962, 375, 19888])).
% 8.78/6.43 tff(19964,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(19965,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | ((~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(19966,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB123, B) <=> v130(constB123, B)))) | (~less_3(bitIndex1)) | (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[19965, 19964])).
% 8.78/6.43 tff(19967,plain,
% 8.78/6.43 (v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19966, 375, 19896])).
% 8.78/6.43 tff(19968,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b010(bitIndex1)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(19969,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b010(bitIndex1)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(19970,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB123, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB123, bitIndex1) <=> b010(bitIndex1))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[19969, 19968])).
% 8.78/6.43 tff(19971,plain,
% 8.78/6.43 (v130(constB123, bitIndex1) <=> b010(bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19970, 375, 19905])).
% 8.78/6.43 tff(19972,plain,
% 8.78/6.43 ((~(v130(constB123, bitIndex1) <=> b010(bitIndex1))) | v130(constB123, bitIndex1) | (~b010(bitIndex1))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19973,plain,
% 8.78/6.43 ((~(v130(constB123, bitIndex1) <=> b010(bitIndex1))) | v130(constB123, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19972, 10107])).
% 8.78/6.43 tff(19974,plain,
% 8.78/6.43 (v130(constB123, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19973, 19971])).
% 8.78/6.43 tff(19975,plain,
% 8.78/6.43 ((~(v127(constB123, bitIndex1) <=> v130(constB123, bitIndex1))) | v127(constB123, bitIndex1) | (~v130(constB123, bitIndex1))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19976,plain,
% 8.78/6.43 (v127(constB123, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19975, 19974, 19967])).
% 8.78/6.43 tff(19977,plain,
% 8.78/6.43 ((~(v129(constB124, bitIndex1) <=> v127(constB123, bitIndex1))) | v129(constB124, bitIndex1) | (~v127(constB123, bitIndex1))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19978,plain,
% 8.78/6.43 (v129(constB124, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19977, 19976, 19963])).
% 8.78/6.43 tff(19979,plain,
% 8.78/6.43 ((~(v90(constB124, bitIndex1) <=> v129(constB124, bitIndex1))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19980,plain,
% 8.78/6.43 (v90(constB124, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19979, 19978, 19959])).
% 8.78/6.43 tff(19981,plain,
% 8.78/6.43 ((~(v90(constB125, bitIndex1) <=> v90(constB124, bitIndex1))) | v90(constB125, bitIndex1) | (~v90(constB124, bitIndex1))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19982,plain,
% 8.78/6.43 (v90(constB125, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19981, 19980, 19955])).
% 8.78/6.43 tff(19983,plain,
% 8.78/6.43 ((~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19984,plain,
% 8.78/6.43 (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19983, 19982, 19951, 19920])).
% 8.78/6.43 tff(19985,plain,
% 8.78/6.43 ((~(v121(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))))) | v121(constB125) | (v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex0))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19986,plain,
% 8.78/6.43 (v121(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19985, 19984, 3900])).
% 8.78/6.43 tff(19987,plain,
% 8.78/6.43 ((v118(constB125) | v121(constB125)) | (~v121(constB125))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19988,plain,
% 8.78/6.43 (v118(constB125) | v121(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19987, 19986])).
% 8.78/6.43 tff(19989,plain,
% 8.78/6.43 ((~(v117(constB125) <=> (v118(constB125) | v121(constB125)))) | v117(constB125) | (~(v118(constB125) | v121(constB125)))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19990,plain,
% 8.78/6.43 (v117(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19989, 19988, 3893])).
% 8.78/6.43 tff(19991,plain,
% 8.78/6.43 ((v117(constB125) | v122(constB125)) | (~v117(constB125))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19992,plain,
% 8.78/6.43 (v117(constB125) | v122(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19991, 19990])).
% 8.78/6.43 tff(19993,plain,
% 8.78/6.43 ((~(v116(constB125) <=> (v117(constB125) | v122(constB125)))) | v116(constB125) | (~(v117(constB125) | v122(constB125)))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19994,plain,
% 8.78/6.43 (v116(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19993, 19992, 3891])).
% 8.78/6.43 tff(19995,plain,
% 8.78/6.43 ((v116(constB125) | v123(constB125)) | (~v116(constB125))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19996,plain,
% 8.78/6.43 (v116(constB125) | v123(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19995, 19994])).
% 8.78/6.43 tff(19997,plain,
% 8.78/6.43 ((~(v115(constB125) <=> (v116(constB125) | v123(constB125)))) | v115(constB125) | (~(v116(constB125) | v123(constB125)))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(19998,plain,
% 8.78/6.43 (v115(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19997, 19996, 3889])).
% 8.78/6.43 tff(19999,plain,
% 8.78/6.43 ((v115(constB125) | v124(constB125)) | (~v115(constB125))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20000,plain,
% 8.78/6.43 (v115(constB125) | v124(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[19999, 19998])).
% 8.78/6.43 tff(20001,plain,
% 8.78/6.43 ((~(v114(constB125) <=> (v115(constB125) | v124(constB125)))) | v114(constB125) | (~(v115(constB125) | v124(constB125)))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20002,plain,
% 8.78/6.43 (v114(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20001, 20000, 3887])).
% 8.78/6.43 tff(20003,plain,
% 8.78/6.43 ((v114(constB125) | v125(constB125)) | (~v114(constB125))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20004,plain,
% 8.78/6.43 (v114(constB125) | v125(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20003, 20002])).
% 8.78/6.43 tff(20005,plain,
% 8.78/6.43 ((~(v113(constB125) <=> (v114(constB125) | v125(constB125)))) | v113(constB125) | (~(v114(constB125) | v125(constB125)))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20006,plain,
% 8.78/6.43 (v113(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20005, 20004, 3885])).
% 8.78/6.43 tff(20007,plain,
% 8.78/6.43 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB125)) <=> v111(constB125))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20008,plain,
% 8.78/6.43 ((~v126(constB125)) <=> v111(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20007, 9720])).
% 8.78/6.43 tff(20009,plain,
% 8.78/6.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB125) <=> v26(constB125))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20010,plain,
% 8.78/6.43 (v111(constB125) <=> v26(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20009, 9732])).
% 8.78/6.43 tff(20011,plain,
% 8.78/6.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20012,plain,
% 8.78/6.43 (~v26(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20011, 9744])).
% 8.78/6.43 tff(20013,plain,
% 8.78/6.43 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125)) | v26(constB125)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20014,plain,
% 8.78/6.43 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20013, 20012])).
% 8.78/6.43 tff(20015,plain,
% 8.78/6.43 (~v111(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20014, 20010])).
% 8.78/6.43 tff(20016,plain,
% 8.78/6.43 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125) | v111(constB125)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20017,plain,
% 8.78/6.43 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20016, 20015])).
% 8.78/6.43 tff(20018,plain,
% 8.78/6.43 (v126(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20017, 20008])).
% 8.78/6.43 tff(20019,plain,
% 8.78/6.43 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125)) | (~v126(constB125))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20020,plain,
% 8.78/6.43 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20019, 20018])).
% 8.78/6.43 tff(20021,plain,
% 8.78/6.43 (~((~v113(constB125)) | (~v126(constB125)))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20020, 20006])).
% 8.78/6.43 tff(20022,plain,
% 8.78/6.43 ((~(v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))) | v112(constB125) | ((~v113(constB125)) | (~v126(constB125)))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20023,plain,
% 8.78/6.43 (v112(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20022, 20021, 3883])).
% 8.78/6.43 tff(20024,plain,
% 8.78/6.43 ((v111(constB125) | v112(constB125)) | (~v112(constB125))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20025,plain,
% 8.78/6.43 (v111(constB125) | v112(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20024, 20023])).
% 8.78/6.43 tff(20026,plain,
% 8.78/6.43 ((~(v108(constB125) <=> (v111(constB125) | v112(constB125)))) | v108(constB125) | (~(v111(constB125) | v112(constB125)))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20027,plain,
% 8.78/6.43 (v108(constB125)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20026, 20025, 3881])).
% 8.78/6.43 tff(20028,plain,
% 8.78/6.43 ((~(v110(constB126) <=> v108(constB125))) | v110(constB126) | (~v108(constB125))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20029,plain,
% 8.78/6.43 (v110(constB126)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20028, 20027, 3879])).
% 8.78/6.43 tff(20030,plain,
% 8.78/6.43 ((~((~v101(constB126)) | (~v110(constB126)))) | (~v101(constB126)) | (~v110(constB126))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20031,plain,
% 8.78/6.43 (~((~v101(constB126)) | (~v110(constB126)))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20030, 20029, 3875])).
% 8.78/6.43 tff(20032,plain,
% 8.78/6.43 ((~(v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))) | v100(constB126) | ((~v101(constB126)) | (~v110(constB126)))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20033,plain,
% 8.78/6.43 (v100(constB126)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20032, 20031, 3844])).
% 8.78/6.43 tff(20034,plain,
% 8.78/6.43 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B))))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20035,plain,
% 8.78/6.43 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B))))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20036,plain,
% 8.78/6.43 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20035, 20034])).
% 8.78/6.43 tff(20037,plain,
% 8.78/6.43 ((~v100(constB126)) | ![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20036, 9780])).
% 8.78/6.43 tff(20038,plain,
% 8.78/6.43 (![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20037, 20033])).
% 8.78/6.43 tff(20039,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20040,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20041,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex2)) | (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20040, 20039])).
% 8.78/6.43 tff(20042,plain,
% 8.78/6.43 (v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20041, 648, 20038])).
% 8.78/6.43 tff(20043,plain,
% 8.78/6.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B))))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20044,plain,
% 8.78/6.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B))))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20045,plain,
% 8.78/6.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20044, 20043])).
% 8.78/6.43 tff(20046,plain,
% 8.78/6.43 (![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20045, 3840, 9802])).
% 8.78/6.43 tff(20047,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20048,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20049,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex2)) | (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 8.78/6.43 tff(20050,plain,
% 8.78/6.43 (v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20049, 648, 20046])).
% 8.78/6.43 tff(20051,plain,
% 8.78/6.43 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB125) | ![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB125) | ![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B))))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20052,plain,
% 8.78/6.43 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB125) | ![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B))))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20053,plain,
% 8.78/6.43 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB125) | ![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 8.78/6.43 tff(20054,plain,
% 8.78/6.43 (![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20053, 9823, 20015])).
% 8.78/6.43 tff(20055,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20056,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20057,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex2)) | (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20056, 20055])).
% 8.78/6.43 tff(20058,plain,
% 8.78/6.43 (v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20057, 648, 20054])).
% 8.78/6.43 tff(20059,plain,
% 8.78/6.43 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB125)) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB125)) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B))))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20060,plain,
% 8.78/6.43 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB125)) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B))))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20061,plain,
% 8.78/6.43 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB125)) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 8.78/6.43 tff(20062,plain,
% 8.78/6.43 ((~v121(constB125)) | ![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20061, 10207])).
% 8.78/6.43 tff(20063,plain,
% 8.78/6.43 (![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20062, 19986])).
% 8.78/6.43 tff(20064,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b011(bitIndex2)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20065,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b011(bitIndex2)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20066,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB125, bitIndex2) <=> b011(bitIndex2))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20065, 20064])).
% 8.78/6.43 tff(20067,plain,
% 8.78/6.43 (v130(constB125, bitIndex2) <=> b011(bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20066, 648, 20063])).
% 8.78/6.43 tff(20068,plain,
% 8.78/6.43 ((~(v130(constB125, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB125, bitIndex2)) | b011(bitIndex2)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20069,plain,
% 8.78/6.43 ((~(v130(constB125, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB125, bitIndex2))),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20068, 10219])).
% 8.78/6.43 tff(20070,plain,
% 8.78/6.43 (~v130(constB125, bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20069, 20067])).
% 8.78/6.43 tff(20071,plain,
% 8.78/6.43 ((~(v127(constB125, bitIndex2) <=> v130(constB125, bitIndex2))) | (~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20072,plain,
% 8.78/6.43 (~v127(constB125, bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20071, 20070, 20058])).
% 8.78/6.43 tff(20073,plain,
% 8.78/6.43 ((~(v129(constB126, bitIndex2) <=> v127(constB125, bitIndex2))) | (~v129(constB126, bitIndex2)) | v127(constB125, bitIndex2)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20074,plain,
% 8.78/6.43 (~v129(constB126, bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20073, 20072, 20050])).
% 8.78/6.43 tff(20075,plain,
% 8.78/6.43 ((~(v90(constB126, bitIndex2) <=> v129(constB126, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20076,plain,
% 8.78/6.43 (~v90(constB126, bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20075, 20074, 20042])).
% 8.78/6.43 tff(20077,plain,
% 8.78/6.43 ((~(v90(constB127, bitIndex2) <=> v90(constB126, bitIndex2))) | (~v90(constB127, bitIndex2)) | v90(constB126, bitIndex2)),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20078,plain,
% 8.78/6.43 (~v90(constB127, bitIndex2)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20077, 20076, 3837])).
% 8.78/6.43 tff(20079,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20080,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20081,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20080, 20079])).
% 8.78/6.43 tff(20082,plain,
% 8.78/6.43 (v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20081, 9653, 3833])).
% 8.78/6.43 tff(20083,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20084,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20085,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex0)) | (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20084, 20083])).
% 8.78/6.43 tff(20086,plain,
% 8.78/6.43 (v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20085, 9653, 20038])).
% 8.78/6.43 tff(20087,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20088,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20089,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex0)) | (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20088, 20087])).
% 8.78/6.43 tff(20090,plain,
% 8.78/6.43 (v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20089, 9653, 20046])).
% 8.78/6.43 tff(20091,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20092,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20093,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex0)) | (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20092, 20091])).
% 8.78/6.43 tff(20094,plain,
% 8.78/6.43 (v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20093, 9653, 20054])).
% 8.78/6.43 tff(20095,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b011(bitIndex0)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20096,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b011(bitIndex0)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20097,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB125, bitIndex0) <=> b011(bitIndex0))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20096, 20095])).
% 8.78/6.43 tff(20098,plain,
% 8.78/6.43 (v130(constB125, bitIndex0) <=> b011(bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20097, 9653, 20063])).
% 8.78/6.43 tff(20099,plain,
% 8.78/6.43 ((~(v130(constB125, bitIndex0) <=> b011(bitIndex0))) | v130(constB125, bitIndex0) | (~b011(bitIndex0))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20100,plain,
% 8.78/6.43 ((~(v130(constB125, bitIndex0) <=> b011(bitIndex0))) | v130(constB125, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20099, 10253])).
% 8.78/6.43 tff(20101,plain,
% 8.78/6.43 (v130(constB125, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20100, 20098])).
% 8.78/6.43 tff(20102,plain,
% 8.78/6.43 ((~(v127(constB125, bitIndex0) <=> v130(constB125, bitIndex0))) | v127(constB125, bitIndex0) | (~v130(constB125, bitIndex0))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20103,plain,
% 8.78/6.43 (v127(constB125, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20102, 20101, 20094])).
% 8.78/6.43 tff(20104,plain,
% 8.78/6.43 ((~(v129(constB126, bitIndex0) <=> v127(constB125, bitIndex0))) | v129(constB126, bitIndex0) | (~v127(constB125, bitIndex0))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20105,plain,
% 8.78/6.43 (v129(constB126, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20104, 20103, 20090])).
% 8.78/6.43 tff(20106,plain,
% 8.78/6.43 ((~(v90(constB126, bitIndex0) <=> v129(constB126, bitIndex0))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20107,plain,
% 8.78/6.43 (v90(constB126, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20106, 20105, 20086])).
% 8.78/6.43 tff(20108,plain,
% 8.78/6.43 ((~(v90(constB127, bitIndex0) <=> v90(constB126, bitIndex0))) | v90(constB127, bitIndex0) | (~v90(constB126, bitIndex0))),
% 8.78/6.43 inference(tautology,[status(thm)],[])).
% 8.78/6.43 tff(20109,plain,
% 8.78/6.43 (v90(constB127, bitIndex0)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20108, 20107, 20082])).
% 8.78/6.43 tff(20110,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)))),
% 8.78/6.43 inference(rewrite,[status(thm)],[])).
% 8.78/6.43 tff(20111,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)))),
% 8.78/6.43 inference(quant_inst,[status(thm)],[])).
% 8.78/6.43 tff(20112,plain,
% 8.78/6.43 ((~![B: $i] : ((~less_3(B)) | (v90(constB127, B) <=> v90(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1))),
% 8.78/6.43 inference(modus_ponens,[status(thm)],[20111, 20110])).
% 8.78/6.43 tff(20113,plain,
% 8.78/6.43 (v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1)),
% 8.78/6.43 inference(unit_resolution,[status(thm)],[20112, 375, 3833])).
% 8.78/6.43 tff(20114,plain,
% 8.78/6.43 (((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20115,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | ((~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20116,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB126, B) <=> v129(constB126, B)))) | (~less_3(bitIndex1)) | (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20115, 20114])).
% 8.78/6.44 tff(20117,plain,
% 8.78/6.44 (v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20116, 375, 20038])).
% 8.78/6.44 tff(20118,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20119,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | ((~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20120,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB126, B) <=> v127(constB125, B)))) | (~less_3(bitIndex1)) | (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20119, 20118])).
% 8.78/6.44 tff(20121,plain,
% 8.78/6.44 (v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20120, 375, 20046])).
% 8.78/6.44 tff(20122,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20123,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | ((~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20124,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB125, B) <=> v130(constB125, B)))) | (~less_3(bitIndex1)) | (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20123, 20122])).
% 8.78/6.44 tff(20125,plain,
% 8.78/6.44 (v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20124, 375, 20054])).
% 8.78/6.44 tff(20126,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b011(bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20127,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b011(bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20128,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB125, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB125, bitIndex1) <=> b011(bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20127, 20126])).
% 8.78/6.44 tff(20129,plain,
% 8.78/6.44 (v130(constB125, bitIndex1) <=> b011(bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20128, 375, 20063])).
% 8.78/6.44 tff(20130,plain,
% 8.78/6.44 ((~(v130(constB125, bitIndex1) <=> b011(bitIndex1))) | v130(constB125, bitIndex1) | (~b011(bitIndex1))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20131,plain,
% 8.78/6.44 ((~(v130(constB125, bitIndex1) <=> b011(bitIndex1))) | v130(constB125, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20130, 10287])).
% 8.78/6.44 tff(20132,plain,
% 8.78/6.44 (v130(constB125, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20131, 20129])).
% 8.78/6.44 tff(20133,plain,
% 8.78/6.44 ((~(v127(constB125, bitIndex1) <=> v130(constB125, bitIndex1))) | v127(constB125, bitIndex1) | (~v130(constB125, bitIndex1))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20134,plain,
% 8.78/6.44 (v127(constB125, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20133, 20132, 20125])).
% 8.78/6.44 tff(20135,plain,
% 8.78/6.44 ((~(v129(constB126, bitIndex1) <=> v127(constB125, bitIndex1))) | v129(constB126, bitIndex1) | (~v127(constB125, bitIndex1))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20136,plain,
% 8.78/6.44 (v129(constB126, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20135, 20134, 20121])).
% 8.78/6.44 tff(20137,plain,
% 8.78/6.44 ((~(v90(constB126, bitIndex1) <=> v129(constB126, bitIndex1))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20138,plain,
% 8.78/6.44 (v90(constB126, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20137, 20136, 20117])).
% 8.78/6.44 tff(20139,plain,
% 8.78/6.44 ((~(v90(constB127, bitIndex1) <=> v90(constB126, bitIndex1))) | v90(constB127, bitIndex1) | (~v90(constB126, bitIndex1))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20140,plain,
% 8.78/6.44 (v90(constB127, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20139, 20138, 20113])).
% 8.78/6.44 tff(20141,plain,
% 8.78/6.44 ((~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20142,plain,
% 8.78/6.44 (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20141, 20140, 20109, 20078])).
% 8.78/6.44 tff(20143,plain,
% 8.78/6.44 ((~(v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))) | v122(constB127) | (v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20144,plain,
% 8.78/6.44 (v122(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20143, 20142, 3805])).
% 8.78/6.44 tff(20145,plain,
% 8.78/6.44 ((v117(constB127) | v122(constB127)) | (~v122(constB127))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20146,plain,
% 8.78/6.44 (v117(constB127) | v122(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20145, 20144])).
% 8.78/6.44 tff(20147,plain,
% 8.78/6.44 ((~(v116(constB127) <=> (v117(constB127) | v122(constB127)))) | v116(constB127) | (~(v117(constB127) | v122(constB127)))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20148,plain,
% 8.78/6.44 (v116(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20147, 20146, 3798])).
% 8.78/6.44 tff(20149,plain,
% 8.78/6.44 ((v116(constB127) | v123(constB127)) | (~v116(constB127))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20150,plain,
% 8.78/6.44 (v116(constB127) | v123(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20149, 20148])).
% 8.78/6.44 tff(20151,plain,
% 8.78/6.44 ((~(v115(constB127) <=> (v116(constB127) | v123(constB127)))) | v115(constB127) | (~(v116(constB127) | v123(constB127)))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20152,plain,
% 8.78/6.44 (v115(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20151, 20150, 3796])).
% 8.78/6.44 tff(20153,plain,
% 8.78/6.44 ((v115(constB127) | v124(constB127)) | (~v115(constB127))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20154,plain,
% 8.78/6.44 (v115(constB127) | v124(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20153, 20152])).
% 8.78/6.44 tff(20155,plain,
% 8.78/6.44 ((~(v114(constB127) <=> (v115(constB127) | v124(constB127)))) | v114(constB127) | (~(v115(constB127) | v124(constB127)))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20156,plain,
% 8.78/6.44 (v114(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20155, 20154, 3794])).
% 8.78/6.44 tff(20157,plain,
% 8.78/6.44 ((v114(constB127) | v125(constB127)) | (~v114(constB127))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20158,plain,
% 8.78/6.44 (v114(constB127) | v125(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20157, 20156])).
% 8.78/6.44 tff(20159,plain,
% 8.78/6.44 ((~(v113(constB127) <=> (v114(constB127) | v125(constB127)))) | v113(constB127) | (~(v114(constB127) | v125(constB127)))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20160,plain,
% 8.78/6.44 (v113(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20159, 20158, 3792])).
% 8.78/6.44 tff(20161,plain,
% 8.78/6.44 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB127)) <=> v111(constB127))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20162,plain,
% 8.78/6.44 ((~v126(constB127)) <=> v111(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20161, 9720])).
% 8.78/6.44 tff(20163,plain,
% 8.78/6.44 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB127) <=> v26(constB127))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20164,plain,
% 8.78/6.44 (v111(constB127) <=> v26(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20163, 9732])).
% 8.78/6.44 tff(20165,plain,
% 8.78/6.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20166,plain,
% 8.78/6.44 (~v26(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20165, 9744])).
% 8.78/6.44 tff(20167,plain,
% 8.78/6.44 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127)) | v26(constB127)),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20168,plain,
% 8.78/6.44 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20167, 20166])).
% 8.78/6.44 tff(20169,plain,
% 8.78/6.44 (~v111(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20168, 20164])).
% 8.78/6.44 tff(20170,plain,
% 8.78/6.44 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127) | v111(constB127)),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20171,plain,
% 8.78/6.44 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20170, 20169])).
% 8.78/6.44 tff(20172,plain,
% 8.78/6.44 (v126(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20171, 20162])).
% 8.78/6.44 tff(20173,plain,
% 8.78/6.44 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127)) | (~v126(constB127))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20174,plain,
% 8.78/6.44 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20173, 20172])).
% 8.78/6.44 tff(20175,plain,
% 8.78/6.44 (~((~v113(constB127)) | (~v126(constB127)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20174, 20160])).
% 8.78/6.44 tff(20176,plain,
% 8.78/6.44 ((~(v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))) | v112(constB127) | ((~v113(constB127)) | (~v126(constB127)))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20177,plain,
% 8.78/6.44 (v112(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20176, 20175, 3790])).
% 8.78/6.44 tff(20178,plain,
% 8.78/6.44 ((v111(constB127) | v112(constB127)) | (~v112(constB127))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20179,plain,
% 8.78/6.44 (v111(constB127) | v112(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20178, 20177])).
% 8.78/6.44 tff(20180,plain,
% 8.78/6.44 ((~(v108(constB127) <=> (v111(constB127) | v112(constB127)))) | v108(constB127) | (~(v111(constB127) | v112(constB127)))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20181,plain,
% 8.78/6.44 (v108(constB127)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20180, 20179, 3788])).
% 8.78/6.44 tff(20182,plain,
% 8.78/6.44 ((~(v110(constB128) <=> v108(constB127))) | v110(constB128) | (~v108(constB127))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20183,plain,
% 8.78/6.44 (v110(constB128)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20182, 20181, 3786])).
% 8.78/6.44 tff(20184,plain,
% 8.78/6.44 ((~((~v101(constB128)) | (~v110(constB128)))) | (~v101(constB128)) | (~v110(constB128))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20185,plain,
% 8.78/6.44 (~((~v101(constB128)) | (~v110(constB128)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20184, 20183, 3782])).
% 8.78/6.44 tff(20186,plain,
% 8.78/6.44 ((~(v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))) | v100(constB128) | ((~v101(constB128)) | (~v110(constB128)))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20187,plain,
% 8.78/6.44 (v100(constB128)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20186, 20185, 3751])).
% 8.78/6.44 tff(20188,plain,
% 8.78/6.44 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B))))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20189,plain,
% 8.78/6.44 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B))))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20190,plain,
% 8.78/6.44 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20189, 20188])).
% 8.78/6.44 tff(20191,plain,
% 8.78/6.44 ((~v100(constB128)) | ![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20190, 9780])).
% 8.78/6.44 tff(20192,plain,
% 8.78/6.44 (![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20191, 20187])).
% 8.78/6.44 tff(20193,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20194,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20195,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex2)) | (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20194, 20193])).
% 8.78/6.44 tff(20196,plain,
% 8.78/6.44 (v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20195, 648, 20192])).
% 8.78/6.44 tff(20197,plain,
% 8.78/6.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B))))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20198,plain,
% 8.78/6.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B))))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20199,plain,
% 8.78/6.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20198, 20197])).
% 8.78/6.44 tff(20200,plain,
% 8.78/6.44 (![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20199, 3747, 9802])).
% 8.78/6.44 tff(20201,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20202,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20203,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex2)) | (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20202, 20201])).
% 8.78/6.44 tff(20204,plain,
% 8.78/6.44 (v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20203, 648, 20200])).
% 8.78/6.44 tff(20205,plain,
% 8.78/6.44 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB127) | ![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB127) | ![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B))))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20206,plain,
% 8.78/6.44 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB127) | ![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B))))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20207,plain,
% 8.78/6.44 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB127) | ![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20206, 20205])).
% 8.78/6.44 tff(20208,plain,
% 8.78/6.44 (![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20207, 9823, 20169])).
% 8.78/6.44 tff(20209,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20210,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20211,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex2)) | (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20210, 20209])).
% 8.78/6.44 tff(20212,plain,
% 8.78/6.44 (v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20211, 648, 20208])).
% 8.78/6.44 tff(20213,plain,
% 8.78/6.44 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B))))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20214,plain,
% 8.78/6.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B))))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20215,plain,
% 8.78/6.44 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20214, 20213])).
% 8.78/6.44 tff(20216,plain,
% 8.78/6.44 ((~v122(constB127)) | ![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20215, 10383])).
% 8.78/6.44 tff(20217,plain,
% 8.78/6.44 (![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20216, 20144])).
% 8.78/6.44 tff(20218,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b100(bitIndex2)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20219,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b100(bitIndex2)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20220,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB127, bitIndex2) <=> b100(bitIndex2))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 8.78/6.44 tff(20221,plain,
% 8.78/6.44 (v130(constB127, bitIndex2) <=> b100(bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20220, 648, 20217])).
% 8.78/6.44 tff(20222,plain,
% 8.78/6.44 ((~(v130(constB127, bitIndex2) <=> b100(bitIndex2))) | v130(constB127, bitIndex2) | (~b100(bitIndex2))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20223,plain,
% 8.78/6.44 ((~(v130(constB127, bitIndex2) <=> b100(bitIndex2))) | v130(constB127, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20222, 10395])).
% 8.78/6.44 tff(20224,plain,
% 8.78/6.44 (v130(constB127, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20223, 20221])).
% 8.78/6.44 tff(20225,plain,
% 8.78/6.44 ((~(v127(constB127, bitIndex2) <=> v130(constB127, bitIndex2))) | v127(constB127, bitIndex2) | (~v130(constB127, bitIndex2))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20226,plain,
% 8.78/6.44 (v127(constB127, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20225, 20224, 20212])).
% 8.78/6.44 tff(20227,plain,
% 8.78/6.44 ((~(v129(constB128, bitIndex2) <=> v127(constB127, bitIndex2))) | v129(constB128, bitIndex2) | (~v127(constB127, bitIndex2))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20228,plain,
% 8.78/6.44 (v129(constB128, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20227, 20226, 20204])).
% 8.78/6.44 tff(20229,plain,
% 8.78/6.44 ((~(v90(constB128, bitIndex2) <=> v129(constB128, bitIndex2))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20230,plain,
% 8.78/6.44 (v90(constB128, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20229, 20228, 20196])).
% 8.78/6.44 tff(20231,plain,
% 8.78/6.44 ((~(v90(constB129, bitIndex2) <=> v90(constB128, bitIndex2))) | v90(constB129, bitIndex2) | (~v90(constB128, bitIndex2))),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20232,plain,
% 8.78/6.44 (v90(constB129, bitIndex2)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20231, 20230, 3744])).
% 8.78/6.44 tff(20233,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20234,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20235,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20234, 20233])).
% 8.78/6.44 tff(20236,plain,
% 8.78/6.44 (v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20235, 9653, 3740])).
% 8.78/6.44 tff(20237,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20238,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20239,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex0)) | (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20238, 20237])).
% 8.78/6.44 tff(20240,plain,
% 8.78/6.44 (v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20239, 9653, 20192])).
% 8.78/6.44 tff(20241,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20242,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20243,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex0)) | (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20242, 20241])).
% 8.78/6.44 tff(20244,plain,
% 8.78/6.44 (v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20243, 9653, 20200])).
% 8.78/6.44 tff(20245,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20246,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20247,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex0)) | (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20246, 20245])).
% 8.78/6.44 tff(20248,plain,
% 8.78/6.44 (v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20247, 9653, 20208])).
% 8.78/6.44 tff(20249,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b100(bitIndex0)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20250,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b100(bitIndex0)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20251,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB127, bitIndex0) <=> b100(bitIndex0))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20250, 20249])).
% 8.78/6.44 tff(20252,plain,
% 8.78/6.44 (v130(constB127, bitIndex0) <=> b100(bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20251, 9653, 20217])).
% 8.78/6.44 tff(20253,plain,
% 8.78/6.44 ((~(v130(constB127, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB127, bitIndex0)) | b100(bitIndex0)),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20254,plain,
% 8.78/6.44 ((~(v130(constB127, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB127, bitIndex0))),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20253, 10429])).
% 8.78/6.44 tff(20255,plain,
% 8.78/6.44 (~v130(constB127, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20254, 20252])).
% 8.78/6.44 tff(20256,plain,
% 8.78/6.44 ((~(v127(constB127, bitIndex0) <=> v130(constB127, bitIndex0))) | (~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20257,plain,
% 8.78/6.44 (~v127(constB127, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20256, 20255, 20248])).
% 8.78/6.44 tff(20258,plain,
% 8.78/6.44 ((~(v129(constB128, bitIndex0) <=> v127(constB127, bitIndex0))) | (~v129(constB128, bitIndex0)) | v127(constB127, bitIndex0)),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20259,plain,
% 8.78/6.44 (~v129(constB128, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20258, 20257, 20244])).
% 8.78/6.44 tff(20260,plain,
% 8.78/6.44 ((~(v90(constB128, bitIndex0) <=> v129(constB128, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0)),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20261,plain,
% 8.78/6.44 (~v90(constB128, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20260, 20259, 20240])).
% 8.78/6.44 tff(20262,plain,
% 8.78/6.44 ((~(v90(constB129, bitIndex0) <=> v90(constB128, bitIndex0))) | (~v90(constB129, bitIndex0)) | v90(constB128, bitIndex0)),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.44 tff(20263,plain,
% 8.78/6.44 (~v90(constB129, bitIndex0)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20262, 20261, 20236])).
% 8.78/6.44 tff(20264,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20265,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20266,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB129, B) <=> v90(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20265, 20264])).
% 8.78/6.44 tff(20267,plain,
% 8.78/6.44 (v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20266, 375, 3740])).
% 8.78/6.44 tff(20268,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20269,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | ((~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20270,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v90(constB128, B) <=> v129(constB128, B)))) | (~less_3(bitIndex1)) | (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20269, 20268])).
% 8.78/6.44 tff(20271,plain,
% 8.78/6.44 (v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20270, 375, 20192])).
% 8.78/6.44 tff(20272,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20273,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | ((~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20274,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v129(constB128, B) <=> v127(constB127, B)))) | (~less_3(bitIndex1)) | (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20273, 20272])).
% 8.78/6.44 tff(20275,plain,
% 8.78/6.44 (v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20274, 375, 20200])).
% 8.78/6.44 tff(20276,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20277,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | ((~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20278,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v127(constB127, B) <=> v130(constB127, B)))) | (~less_3(bitIndex1)) | (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20277, 20276])).
% 8.78/6.44 tff(20279,plain,
% 8.78/6.44 (v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20278, 375, 20208])).
% 8.78/6.44 tff(20280,plain,
% 8.78/6.44 (((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b100(bitIndex1)))),
% 8.78/6.44 inference(rewrite,[status(thm)],[])).
% 8.78/6.44 tff(20281,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b100(bitIndex1)))),
% 8.78/6.44 inference(quant_inst,[status(thm)],[])).
% 8.78/6.44 tff(20282,plain,
% 8.78/6.44 ((~![B: $i] : ((~less_3(B)) | (v130(constB127, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB127, bitIndex1) <=> b100(bitIndex1))),
% 8.78/6.44 inference(modus_ponens,[status(thm)],[20281, 20280])).
% 8.78/6.44 tff(20283,plain,
% 8.78/6.44 (v130(constB127, bitIndex1) <=> b100(bitIndex1)),
% 8.78/6.44 inference(unit_resolution,[status(thm)],[20282, 375, 20217])).
% 8.78/6.44 tff(20284,plain,
% 8.78/6.44 ((~(v130(constB127, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB127, bitIndex1)) | b100(bitIndex1)),
% 8.78/6.44 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20285,plain,
% 8.78/6.45 ((~(v130(constB127, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB127, bitIndex1))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20284, 10463])).
% 8.78/6.45 tff(20286,plain,
% 8.78/6.45 (~v130(constB127, bitIndex1)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20285, 20283])).
% 8.78/6.45 tff(20287,plain,
% 8.78/6.45 ((~(v127(constB127, bitIndex1) <=> v130(constB127, bitIndex1))) | (~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20288,plain,
% 8.78/6.45 (~v127(constB127, bitIndex1)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20287, 20286, 20279])).
% 8.78/6.45 tff(20289,plain,
% 8.78/6.45 ((~(v129(constB128, bitIndex1) <=> v127(constB127, bitIndex1))) | (~v129(constB128, bitIndex1)) | v127(constB127, bitIndex1)),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20290,plain,
% 8.78/6.45 (~v129(constB128, bitIndex1)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20289, 20288, 20275])).
% 8.78/6.45 tff(20291,plain,
% 8.78/6.45 ((~(v90(constB128, bitIndex1) <=> v129(constB128, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1)),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20292,plain,
% 8.78/6.45 (~v90(constB128, bitIndex1)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20291, 20290, 20271])).
% 8.78/6.45 tff(20293,plain,
% 8.78/6.45 ((~(v90(constB129, bitIndex1) <=> v90(constB128, bitIndex1))) | (~v90(constB129, bitIndex1)) | v90(constB128, bitIndex1)),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20294,plain,
% 8.78/6.45 (~v90(constB129, bitIndex1)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20293, 20292, 20267])).
% 8.78/6.45 tff(20295,plain,
% 8.78/6.45 ((~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))) | (~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0)),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20296,plain,
% 8.78/6.45 (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20295, 20294, 20263, 20232])).
% 8.78/6.45 tff(20297,plain,
% 8.78/6.45 ((~(v123(constB129) <=> (~((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))))) | v123(constB129) | ((~v90(constB129, bitIndex2)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20298,plain,
% 8.78/6.45 (v123(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20297, 20296, 3712])).
% 8.78/6.45 tff(20299,plain,
% 8.78/6.45 ((v116(constB129) | v123(constB129)) | (~v123(constB129))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20300,plain,
% 8.78/6.45 (v116(constB129) | v123(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20299, 20298])).
% 8.78/6.45 tff(20301,plain,
% 8.78/6.45 ((~(v115(constB129) <=> (v116(constB129) | v123(constB129)))) | v115(constB129) | (~(v116(constB129) | v123(constB129)))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20302,plain,
% 8.78/6.45 (v115(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20301, 20300, 3705])).
% 8.78/6.45 tff(20303,plain,
% 8.78/6.45 ((v115(constB129) | v124(constB129)) | (~v115(constB129))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20304,plain,
% 8.78/6.45 (v115(constB129) | v124(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20303, 20302])).
% 8.78/6.45 tff(20305,plain,
% 8.78/6.45 ((~(v114(constB129) <=> (v115(constB129) | v124(constB129)))) | v114(constB129) | (~(v115(constB129) | v124(constB129)))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20306,plain,
% 8.78/6.45 (v114(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20305, 20304, 3703])).
% 8.78/6.45 tff(20307,plain,
% 8.78/6.45 ((v114(constB129) | v125(constB129)) | (~v114(constB129))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20308,plain,
% 8.78/6.45 (v114(constB129) | v125(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20307, 20306])).
% 8.78/6.45 tff(20309,plain,
% 8.78/6.45 ((~(v113(constB129) <=> (v114(constB129) | v125(constB129)))) | v113(constB129) | (~(v114(constB129) | v125(constB129)))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20310,plain,
% 8.78/6.45 (v113(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20309, 20308, 3701])).
% 8.78/6.45 tff(20311,plain,
% 8.78/6.45 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB129)) <=> v111(constB129))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20312,plain,
% 8.78/6.45 ((~v126(constB129)) <=> v111(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20311, 9720])).
% 8.78/6.45 tff(20313,plain,
% 8.78/6.45 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB129) <=> v26(constB129))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20314,plain,
% 8.78/6.45 (v111(constB129) <=> v26(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20313, 9732])).
% 8.78/6.45 tff(20315,plain,
% 8.78/6.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20316,plain,
% 8.78/6.45 (~v26(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20315, 9744])).
% 8.78/6.45 tff(20317,plain,
% 8.78/6.45 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129)) | v26(constB129)),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20318,plain,
% 8.78/6.45 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20317, 20316])).
% 8.78/6.45 tff(20319,plain,
% 8.78/6.45 (~v111(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20318, 20314])).
% 8.78/6.45 tff(20320,plain,
% 8.78/6.45 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129) | v111(constB129)),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20321,plain,
% 8.78/6.45 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20320, 20319])).
% 8.78/6.45 tff(20322,plain,
% 8.78/6.45 (v126(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20321, 20312])).
% 8.78/6.45 tff(20323,plain,
% 8.78/6.45 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129)) | (~v126(constB129))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20324,plain,
% 8.78/6.45 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20323, 20322])).
% 8.78/6.45 tff(20325,plain,
% 8.78/6.45 (~((~v113(constB129)) | (~v126(constB129)))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20324, 20310])).
% 8.78/6.45 tff(20326,plain,
% 8.78/6.45 ((~(v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))) | v112(constB129) | ((~v113(constB129)) | (~v126(constB129)))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20327,plain,
% 8.78/6.45 (v112(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20326, 20325, 3699])).
% 8.78/6.45 tff(20328,plain,
% 8.78/6.45 ((v111(constB129) | v112(constB129)) | (~v112(constB129))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20329,plain,
% 8.78/6.45 (v111(constB129) | v112(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20328, 20327])).
% 8.78/6.45 tff(20330,plain,
% 8.78/6.45 ((~(v108(constB129) <=> (v111(constB129) | v112(constB129)))) | v108(constB129) | (~(v111(constB129) | v112(constB129)))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20331,plain,
% 8.78/6.45 (v108(constB129)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20330, 20329, 3697])).
% 8.78/6.45 tff(20332,plain,
% 8.78/6.45 ((~(v110(constB130) <=> v108(constB129))) | v110(constB130) | (~v108(constB129))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20333,plain,
% 8.78/6.45 (v110(constB130)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20332, 20331, 3695])).
% 8.78/6.45 tff(20334,plain,
% 8.78/6.45 ((~((~v101(constB130)) | (~v110(constB130)))) | (~v101(constB130)) | (~v110(constB130))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20335,plain,
% 8.78/6.45 (~((~v101(constB130)) | (~v110(constB130)))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20334, 20333, 3691])).
% 8.78/6.45 tff(20336,plain,
% 8.78/6.45 ((~(v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))) | v100(constB130) | ((~v101(constB130)) | (~v110(constB130)))),
% 8.78/6.45 inference(tautology,[status(thm)],[])).
% 8.78/6.45 tff(20337,plain,
% 8.78/6.45 (v100(constB130)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20336, 20335, 3660])).
% 8.78/6.45 tff(20338,plain,
% 8.78/6.45 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B))))),
% 8.78/6.45 inference(rewrite,[status(thm)],[])).
% 8.78/6.45 tff(20339,plain,
% 8.78/6.45 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B))))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20340,plain,
% 8.78/6.45 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))),
% 8.78/6.45 inference(modus_ponens,[status(thm)],[20339, 20338])).
% 8.78/6.45 tff(20341,plain,
% 8.78/6.45 ((~v100(constB130)) | ![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20340, 9780])).
% 8.78/6.45 tff(20342,plain,
% 8.78/6.45 (![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20341, 20337])).
% 8.78/6.45 tff(20343,plain,
% 8.78/6.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)))),
% 8.78/6.45 inference(rewrite,[status(thm)],[])).
% 8.78/6.45 tff(20344,plain,
% 8.78/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20345,plain,
% 8.78/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex2)) | (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2))),
% 8.78/6.45 inference(modus_ponens,[status(thm)],[20344, 20343])).
% 8.78/6.45 tff(20346,plain,
% 8.78/6.45 (v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20345, 648, 20342])).
% 8.78/6.45 tff(20347,plain,
% 8.78/6.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B))))),
% 8.78/6.45 inference(rewrite,[status(thm)],[])).
% 8.78/6.45 tff(20348,plain,
% 8.78/6.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B))))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20349,plain,
% 8.78/6.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))),
% 8.78/6.45 inference(modus_ponens,[status(thm)],[20348, 20347])).
% 8.78/6.45 tff(20350,plain,
% 8.78/6.45 (![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20349, 3656, 9802])).
% 8.78/6.45 tff(20351,plain,
% 8.78/6.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)))),
% 8.78/6.45 inference(rewrite,[status(thm)],[])).
% 8.78/6.45 tff(20352,plain,
% 8.78/6.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20353,plain,
% 8.78/6.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex2)) | (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2))),
% 8.78/6.45 inference(modus_ponens,[status(thm)],[20352, 20351])).
% 8.78/6.45 tff(20354,plain,
% 8.78/6.45 (v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20353, 648, 20350])).
% 8.78/6.45 tff(20355,plain,
% 8.78/6.45 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB129) | ![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB129) | ![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B))))),
% 8.78/6.45 inference(rewrite,[status(thm)],[])).
% 8.78/6.45 tff(20356,plain,
% 8.78/6.45 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB129) | ![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B))))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20357,plain,
% 8.78/6.45 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB129) | ![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))),
% 8.78/6.45 inference(modus_ponens,[status(thm)],[20356, 20355])).
% 8.78/6.45 tff(20358,plain,
% 8.78/6.45 (![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20357, 9823, 20319])).
% 8.78/6.45 tff(20359,plain,
% 8.78/6.45 (((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)))),
% 8.78/6.45 inference(rewrite,[status(thm)],[])).
% 8.78/6.45 tff(20360,plain,
% 8.78/6.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20361,plain,
% 8.78/6.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex2)) | (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2))),
% 8.78/6.45 inference(modus_ponens,[status(thm)],[20360, 20359])).
% 8.78/6.45 tff(20362,plain,
% 8.78/6.45 (v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2)),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20361, 648, 20358])).
% 8.78/6.45 tff(20363,plain,
% 8.78/6.45 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B))))),
% 8.78/6.45 inference(rewrite,[status(thm)],[])).
% 8.78/6.45 tff(20364,plain,
% 8.78/6.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B))))),
% 8.78/6.45 inference(quant_inst,[status(thm)],[])).
% 8.78/6.45 tff(20365,plain,
% 8.78/6.45 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))),
% 8.78/6.45 inference(modus_ponens,[status(thm)],[20364, 20363])).
% 8.78/6.45 tff(20366,plain,
% 8.78/6.45 ((~v123(constB129)) | ![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20365, 10555])).
% 8.78/6.45 tff(20367,plain,
% 8.78/6.45 (![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))),
% 8.78/6.45 inference(unit_resolution,[status(thm)],[20366, 20298])).
% 8.78/6.45 tff(20368,plain,
% 8.78/6.45 (((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b101(bitIndex2)))),
% 8.78/6.45 inference(rewrite,[status(thm)],[])).
% 8.78/6.45 tff(20369,plain,
% 8.78/6.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b101(bitIndex2)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20370,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB129, bitIndex2) <=> b101(bitIndex2))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20369, 20368])).
% 8.88/6.45 tff(20371,plain,
% 8.88/6.45 (v130(constB129, bitIndex2) <=> b101(bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20370, 648, 20367])).
% 8.88/6.45 tff(20372,plain,
% 8.88/6.45 ((~(v130(constB129, bitIndex2) <=> b101(bitIndex2))) | v130(constB129, bitIndex2) | (~b101(bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20373,plain,
% 8.88/6.45 ((~(v130(constB129, bitIndex2) <=> b101(bitIndex2))) | v130(constB129, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20372, 10567])).
% 8.88/6.45 tff(20374,plain,
% 8.88/6.45 (v130(constB129, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20373, 20371])).
% 8.88/6.45 tff(20375,plain,
% 8.88/6.45 ((~(v127(constB129, bitIndex2) <=> v130(constB129, bitIndex2))) | v127(constB129, bitIndex2) | (~v130(constB129, bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20376,plain,
% 8.88/6.45 (v127(constB129, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20375, 20374, 20362])).
% 8.88/6.45 tff(20377,plain,
% 8.88/6.45 ((~(v129(constB130, bitIndex2) <=> v127(constB129, bitIndex2))) | v129(constB130, bitIndex2) | (~v127(constB129, bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20378,plain,
% 8.88/6.45 (v129(constB130, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20377, 20376, 20354])).
% 8.88/6.45 tff(20379,plain,
% 8.88/6.45 ((~(v90(constB130, bitIndex2) <=> v129(constB130, bitIndex2))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20380,plain,
% 8.88/6.45 (v90(constB130, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20379, 20378, 20346])).
% 8.88/6.45 tff(20381,plain,
% 8.88/6.45 ((~(v90(constB131, bitIndex2) <=> v90(constB130, bitIndex2))) | v90(constB131, bitIndex2) | (~v90(constB130, bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20382,plain,
% 8.88/6.45 (v90(constB131, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20381, 20380, 3653])).
% 8.88/6.45 tff(20383,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20384,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20385,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20384, 20383])).
% 8.88/6.45 tff(20386,plain,
% 8.88/6.45 (v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20385, 9653, 3649])).
% 8.88/6.45 tff(20387,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20388,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20389,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex0)) | (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20388, 20387])).
% 8.88/6.45 tff(20390,plain,
% 8.88/6.45 (v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20389, 9653, 20342])).
% 8.88/6.45 tff(20391,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20392,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20393,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex0)) | (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20392, 20391])).
% 8.88/6.45 tff(20394,plain,
% 8.88/6.45 (v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20393, 9653, 20350])).
% 8.88/6.45 tff(20395,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20396,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20397,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex0)) | (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20396, 20395])).
% 8.88/6.45 tff(20398,plain,
% 8.88/6.45 (v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20397, 9653, 20358])).
% 8.88/6.45 tff(20399,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b101(bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20400,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b101(bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20401,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB129, bitIndex0) <=> b101(bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20400, 20399])).
% 8.88/6.45 tff(20402,plain,
% 8.88/6.45 (v130(constB129, bitIndex0) <=> b101(bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20401, 9653, 20367])).
% 8.88/6.45 tff(20403,plain,
% 8.88/6.45 ((~(v130(constB129, bitIndex0) <=> b101(bitIndex0))) | v130(constB129, bitIndex0) | (~b101(bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20404,plain,
% 8.88/6.45 ((~(v130(constB129, bitIndex0) <=> b101(bitIndex0))) | v130(constB129, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20403, 10601])).
% 8.88/6.45 tff(20405,plain,
% 8.88/6.45 (v130(constB129, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20404, 20402])).
% 8.88/6.45 tff(20406,plain,
% 8.88/6.45 ((~(v127(constB129, bitIndex0) <=> v130(constB129, bitIndex0))) | v127(constB129, bitIndex0) | (~v130(constB129, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20407,plain,
% 8.88/6.45 (v127(constB129, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20406, 20405, 20398])).
% 8.88/6.45 tff(20408,plain,
% 8.88/6.45 ((~(v129(constB130, bitIndex0) <=> v127(constB129, bitIndex0))) | v129(constB130, bitIndex0) | (~v127(constB129, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20409,plain,
% 8.88/6.45 (v129(constB130, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20408, 20407, 20394])).
% 8.88/6.45 tff(20410,plain,
% 8.88/6.45 ((~(v90(constB130, bitIndex0) <=> v129(constB130, bitIndex0))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20411,plain,
% 8.88/6.45 (v90(constB130, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20410, 20409, 20390])).
% 8.88/6.45 tff(20412,plain,
% 8.88/6.45 ((~(v90(constB131, bitIndex0) <=> v90(constB130, bitIndex0))) | v90(constB131, bitIndex0) | (~v90(constB130, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20413,plain,
% 8.88/6.45 (v90(constB131, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20412, 20411, 20386])).
% 8.88/6.45 tff(20414,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20415,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20416,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB131, B) <=> v90(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20415, 20414])).
% 8.88/6.45 tff(20417,plain,
% 8.88/6.45 (v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20416, 375, 3649])).
% 8.88/6.45 tff(20418,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20419,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | ((~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20420,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v90(constB130, B) <=> v129(constB130, B)))) | (~less_3(bitIndex1)) | (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 8.88/6.45 tff(20421,plain,
% 8.88/6.45 (v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20420, 375, 20342])).
% 8.88/6.45 tff(20422,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20423,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | ((~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20424,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v129(constB130, B) <=> v127(constB129, B)))) | (~less_3(bitIndex1)) | (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20423, 20422])).
% 8.88/6.45 tff(20425,plain,
% 8.88/6.45 (v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20424, 375, 20350])).
% 8.88/6.45 tff(20426,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20427,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | ((~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20428,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v127(constB129, B) <=> v130(constB129, B)))) | (~less_3(bitIndex1)) | (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20427, 20426])).
% 8.88/6.45 tff(20429,plain,
% 8.88/6.45 (v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20428, 375, 20358])).
% 8.88/6.45 tff(20430,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b101(bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(20431,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b101(bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(20432,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v130(constB129, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB129, bitIndex1) <=> b101(bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[20431, 20430])).
% 8.88/6.45 tff(20433,plain,
% 8.88/6.45 (v130(constB129, bitIndex1) <=> b101(bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20432, 375, 20367])).
% 8.88/6.45 tff(20434,plain,
% 8.88/6.45 ((~(v130(constB129, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB129, bitIndex1)) | b101(bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20435,plain,
% 8.88/6.45 ((~(v130(constB129, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB129, bitIndex1))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20434, 10635])).
% 8.88/6.45 tff(20436,plain,
% 8.88/6.45 (~v130(constB129, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20435, 20433])).
% 8.88/6.45 tff(20437,plain,
% 8.88/6.45 ((~(v127(constB129, bitIndex1) <=> v130(constB129, bitIndex1))) | (~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20438,plain,
% 8.88/6.45 (~v127(constB129, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20437, 20436, 20429])).
% 8.88/6.45 tff(20439,plain,
% 8.88/6.45 ((~(v129(constB130, bitIndex1) <=> v127(constB129, bitIndex1))) | (~v129(constB130, bitIndex1)) | v127(constB129, bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20440,plain,
% 8.88/6.45 (~v129(constB130, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20439, 20438, 20425])).
% 8.88/6.45 tff(20441,plain,
% 8.88/6.45 ((~(v90(constB130, bitIndex1) <=> v129(constB130, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20442,plain,
% 8.88/6.45 (~v90(constB130, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20441, 20440, 20421])).
% 8.88/6.45 tff(20443,plain,
% 8.88/6.45 ((~(v90(constB131, bitIndex1) <=> v90(constB130, bitIndex1))) | (~v90(constB131, bitIndex1)) | v90(constB130, bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20444,plain,
% 8.88/6.45 (~v90(constB131, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20443, 20442, 20417])).
% 8.88/6.45 tff(20445,plain,
% 8.88/6.45 ((~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))) | (~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20446,plain,
% 8.88/6.45 (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20445, 20444, 20413, 20382])).
% 8.88/6.45 tff(20447,plain,
% 8.88/6.45 ((~(v124(constB131) <=> (~((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))))) | v124(constB131) | ((~v90(constB131, bitIndex2)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(20448,plain,
% 8.88/6.45 (v124(constB131)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[20447, 20446, 3621])).
% 8.88/6.46 tff(20449,plain,
% 8.88/6.46 ((v115(constB131) | v124(constB131)) | (~v124(constB131))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20450,plain,
% 8.88/6.46 (v115(constB131) | v124(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20449, 20448])).
% 8.88/6.46 tff(20451,plain,
% 8.88/6.46 ((~(v114(constB131) <=> (v115(constB131) | v124(constB131)))) | v114(constB131) | (~(v115(constB131) | v124(constB131)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20452,plain,
% 8.88/6.46 (v114(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20451, 20450, 3614])).
% 8.88/6.46 tff(20453,plain,
% 8.88/6.46 ((v114(constB131) | v125(constB131)) | (~v114(constB131))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20454,plain,
% 8.88/6.46 (v114(constB131) | v125(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20453, 20452])).
% 8.88/6.46 tff(20455,plain,
% 8.88/6.46 ((~(v113(constB131) <=> (v114(constB131) | v125(constB131)))) | v113(constB131) | (~(v114(constB131) | v125(constB131)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20456,plain,
% 8.88/6.46 (v113(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20455, 20454, 3612])).
% 8.88/6.46 tff(20457,plain,
% 8.88/6.46 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB131)) <=> v111(constB131))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20458,plain,
% 8.88/6.46 ((~v126(constB131)) <=> v111(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20457, 9720])).
% 8.88/6.46 tff(20459,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB131) <=> v26(constB131))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20460,plain,
% 8.88/6.46 (v111(constB131) <=> v26(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20459, 9732])).
% 8.88/6.46 tff(20461,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20462,plain,
% 8.88/6.46 (~v26(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20461, 9744])).
% 8.88/6.46 tff(20463,plain,
% 8.88/6.46 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131)) | v26(constB131)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20464,plain,
% 8.88/6.46 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20463, 20462])).
% 8.88/6.46 tff(20465,plain,
% 8.88/6.46 (~v111(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20464, 20460])).
% 8.88/6.46 tff(20466,plain,
% 8.88/6.46 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131) | v111(constB131)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20467,plain,
% 8.88/6.46 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20466, 20465])).
% 8.88/6.46 tff(20468,plain,
% 8.88/6.46 (v126(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20467, 20458])).
% 8.88/6.46 tff(20469,plain,
% 8.88/6.46 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131)) | (~v126(constB131))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20470,plain,
% 8.88/6.46 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20469, 20468])).
% 8.88/6.46 tff(20471,plain,
% 8.88/6.46 (~((~v113(constB131)) | (~v126(constB131)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20470, 20456])).
% 8.88/6.46 tff(20472,plain,
% 8.88/6.46 ((~(v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))) | v112(constB131) | ((~v113(constB131)) | (~v126(constB131)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20473,plain,
% 8.88/6.46 (v112(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20472, 20471, 3610])).
% 8.88/6.46 tff(20474,plain,
% 8.88/6.46 ((v111(constB131) | v112(constB131)) | (~v112(constB131))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20475,plain,
% 8.88/6.46 (v111(constB131) | v112(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20474, 20473])).
% 8.88/6.46 tff(20476,plain,
% 8.88/6.46 ((~(v108(constB131) <=> (v111(constB131) | v112(constB131)))) | v108(constB131) | (~(v111(constB131) | v112(constB131)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20477,plain,
% 8.88/6.46 (v108(constB131)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20476, 20475, 3608])).
% 8.88/6.46 tff(20478,plain,
% 8.88/6.46 ((~(v110(constB132) <=> v108(constB131))) | v110(constB132) | (~v108(constB131))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20479,plain,
% 8.88/6.46 (v110(constB132)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20478, 20477, 3606])).
% 8.88/6.46 tff(20480,plain,
% 8.88/6.46 ((~((~v101(constB132)) | (~v110(constB132)))) | (~v101(constB132)) | (~v110(constB132))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20481,plain,
% 8.88/6.46 (~((~v101(constB132)) | (~v110(constB132)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20480, 20479, 3602])).
% 8.88/6.46 tff(20482,plain,
% 8.88/6.46 ((~(v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))) | v100(constB132) | ((~v101(constB132)) | (~v110(constB132)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20483,plain,
% 8.88/6.46 (v100(constB132)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20482, 20481, 3571])).
% 8.88/6.46 tff(20484,plain,
% 8.88/6.46 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20485,plain,
% 8.88/6.46 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20486,plain,
% 8.88/6.46 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20485, 20484])).
% 8.88/6.46 tff(20487,plain,
% 8.88/6.46 ((~v100(constB132)) | ![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20486, 9780])).
% 8.88/6.46 tff(20488,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20487, 20483])).
% 8.88/6.46 tff(20489,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20490,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20491,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex2)) | (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20490, 20489])).
% 8.88/6.46 tff(20492,plain,
% 8.88/6.46 (v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20491, 648, 20488])).
% 8.88/6.46 tff(20493,plain,
% 8.88/6.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20494,plain,
% 8.88/6.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20495,plain,
% 8.88/6.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20494, 20493])).
% 8.88/6.46 tff(20496,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20495, 3567, 9802])).
% 8.88/6.46 tff(20497,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20498,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20499,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex2)) | (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20498, 20497])).
% 8.88/6.46 tff(20500,plain,
% 8.88/6.46 (v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20499, 648, 20496])).
% 8.88/6.46 tff(20501,plain,
% 8.88/6.46 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB131) | ![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB131) | ![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20502,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB131) | ![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20503,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB131) | ![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20502, 20501])).
% 8.88/6.46 tff(20504,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20503, 9823, 20465])).
% 8.88/6.46 tff(20505,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20506,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20507,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex2)) | (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20506, 20505])).
% 8.88/6.46 tff(20508,plain,
% 8.88/6.46 (v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20507, 648, 20504])).
% 8.88/6.46 tff(20509,plain,
% 8.88/6.46 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20510,plain,
% 8.88/6.46 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20511,plain,
% 8.88/6.46 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20510, 20509])).
% 8.88/6.46 tff(20512,plain,
% 8.88/6.46 ((~v124(constB131)) | ![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20511, 10723])).
% 8.88/6.46 tff(20513,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20512, 20448])).
% 8.88/6.46 tff(20514,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b110(bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20515,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b110(bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20516,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB131, bitIndex2) <=> b110(bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20515, 20514])).
% 8.88/6.46 tff(20517,plain,
% 8.88/6.46 (v130(constB131, bitIndex2) <=> b110(bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20516, 648, 20513])).
% 8.88/6.46 tff(20518,plain,
% 8.88/6.46 ((~(v130(constB131, bitIndex2) <=> b110(bitIndex2))) | v130(constB131, bitIndex2) | (~b110(bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20519,plain,
% 8.88/6.46 ((~(v130(constB131, bitIndex2) <=> b110(bitIndex2))) | v130(constB131, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20518, 10735])).
% 8.88/6.46 tff(20520,plain,
% 8.88/6.46 (v130(constB131, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20519, 20517])).
% 8.88/6.46 tff(20521,plain,
% 8.88/6.46 ((~(v127(constB131, bitIndex2) <=> v130(constB131, bitIndex2))) | v127(constB131, bitIndex2) | (~v130(constB131, bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20522,plain,
% 8.88/6.46 (v127(constB131, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20521, 20520, 20508])).
% 8.88/6.46 tff(20523,plain,
% 8.88/6.46 ((~(v129(constB132, bitIndex2) <=> v127(constB131, bitIndex2))) | v129(constB132, bitIndex2) | (~v127(constB131, bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20524,plain,
% 8.88/6.46 (v129(constB132, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20523, 20522, 20500])).
% 8.88/6.46 tff(20525,plain,
% 8.88/6.46 ((~(v90(constB132, bitIndex2) <=> v129(constB132, bitIndex2))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20526,plain,
% 8.88/6.46 (v90(constB132, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20525, 20524, 20492])).
% 8.88/6.46 tff(20527,plain,
% 8.88/6.46 ((~(v90(constB133, bitIndex2) <=> v90(constB132, bitIndex2))) | v90(constB133, bitIndex2) | (~v90(constB132, bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20528,plain,
% 8.88/6.46 (v90(constB133, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20527, 20526, 3564])).
% 8.88/6.46 tff(20529,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20530,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20531,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20530, 20529])).
% 8.88/6.46 tff(20532,plain,
% 8.88/6.46 (v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20531, 9653, 3560])).
% 8.88/6.46 tff(20533,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20534,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20535,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex0)) | (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20534, 20533])).
% 8.88/6.46 tff(20536,plain,
% 8.88/6.46 (v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20535, 9653, 20488])).
% 8.88/6.46 tff(20537,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20538,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20539,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex0)) | (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20538, 20537])).
% 8.88/6.46 tff(20540,plain,
% 8.88/6.46 (v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20539, 9653, 20496])).
% 8.88/6.46 tff(20541,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20542,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20543,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex0)) | (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20542, 20541])).
% 8.88/6.46 tff(20544,plain,
% 8.88/6.46 (v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20543, 9653, 20504])).
% 8.88/6.46 tff(20545,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b110(bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20546,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b110(bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20547,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB131, bitIndex0) <=> b110(bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20546, 20545])).
% 8.88/6.46 tff(20548,plain,
% 8.88/6.46 (v130(constB131, bitIndex0) <=> b110(bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20547, 9653, 20513])).
% 8.88/6.46 tff(20549,plain,
% 8.88/6.46 ((~(v130(constB131, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB131, bitIndex0)) | b110(bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20550,plain,
% 8.88/6.46 ((~(v130(constB131, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB131, bitIndex0))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20549, 10769])).
% 8.88/6.46 tff(20551,plain,
% 8.88/6.46 (~v130(constB131, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20550, 20548])).
% 8.88/6.46 tff(20552,plain,
% 8.88/6.46 ((~(v127(constB131, bitIndex0) <=> v130(constB131, bitIndex0))) | (~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20553,plain,
% 8.88/6.46 (~v127(constB131, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20552, 20551, 20544])).
% 8.88/6.46 tff(20554,plain,
% 8.88/6.46 ((~(v129(constB132, bitIndex0) <=> v127(constB131, bitIndex0))) | (~v129(constB132, bitIndex0)) | v127(constB131, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20555,plain,
% 8.88/6.46 (~v129(constB132, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20554, 20553, 20540])).
% 8.88/6.46 tff(20556,plain,
% 8.88/6.46 ((~(v90(constB132, bitIndex0) <=> v129(constB132, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20557,plain,
% 8.88/6.46 (~v90(constB132, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20556, 20555, 20536])).
% 8.88/6.46 tff(20558,plain,
% 8.88/6.46 ((~(v90(constB133, bitIndex0) <=> v90(constB132, bitIndex0))) | (~v90(constB133, bitIndex0)) | v90(constB132, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20559,plain,
% 8.88/6.46 (~v90(constB133, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20558, 20557, 20532])).
% 8.88/6.46 tff(20560,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20561,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20562,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB133, B) <=> v90(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20561, 20560])).
% 8.88/6.46 tff(20563,plain,
% 8.88/6.46 (v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20562, 375, 3560])).
% 8.88/6.46 tff(20564,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20565,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | ((~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20566,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB132, B) <=> v129(constB132, B)))) | (~less_3(bitIndex1)) | (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20565, 20564])).
% 8.88/6.46 tff(20567,plain,
% 8.88/6.46 (v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20566, 375, 20488])).
% 8.88/6.46 tff(20568,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20569,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | ((~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20570,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v129(constB132, B) <=> v127(constB131, B)))) | (~less_3(bitIndex1)) | (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20569, 20568])).
% 8.88/6.46 tff(20571,plain,
% 8.88/6.46 (v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20570, 375, 20496])).
% 8.88/6.46 tff(20572,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20573,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | ((~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20574,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v127(constB131, B) <=> v130(constB131, B)))) | (~less_3(bitIndex1)) | (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20573, 20572])).
% 8.88/6.46 tff(20575,plain,
% 8.88/6.46 (v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20574, 375, 20504])).
% 8.88/6.46 tff(20576,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b110(bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20577,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b110(bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20578,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v130(constB131, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB131, bitIndex1) <=> b110(bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20577, 20576])).
% 8.88/6.46 tff(20579,plain,
% 8.88/6.46 (v130(constB131, bitIndex1) <=> b110(bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20578, 375, 20513])).
% 8.88/6.46 tff(20580,plain,
% 8.88/6.46 ((~(v130(constB131, bitIndex1) <=> b110(bitIndex1))) | v130(constB131, bitIndex1) | (~b110(bitIndex1))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20581,plain,
% 8.88/6.46 ((~(v130(constB131, bitIndex1) <=> b110(bitIndex1))) | v130(constB131, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20580, 10803])).
% 8.88/6.46 tff(20582,plain,
% 8.88/6.46 (v130(constB131, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20581, 20579])).
% 8.88/6.46 tff(20583,plain,
% 8.88/6.46 ((~(v127(constB131, bitIndex1) <=> v130(constB131, bitIndex1))) | v127(constB131, bitIndex1) | (~v130(constB131, bitIndex1))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20584,plain,
% 8.88/6.46 (v127(constB131, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20583, 20582, 20575])).
% 8.88/6.46 tff(20585,plain,
% 8.88/6.46 ((~(v129(constB132, bitIndex1) <=> v127(constB131, bitIndex1))) | v129(constB132, bitIndex1) | (~v127(constB131, bitIndex1))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20586,plain,
% 8.88/6.46 (v129(constB132, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20585, 20584, 20571])).
% 8.88/6.46 tff(20587,plain,
% 8.88/6.46 ((~(v90(constB132, bitIndex1) <=> v129(constB132, bitIndex1))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20588,plain,
% 8.88/6.46 (v90(constB132, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20587, 20586, 20567])).
% 8.88/6.46 tff(20589,plain,
% 8.88/6.46 ((~(v90(constB133, bitIndex1) <=> v90(constB132, bitIndex1))) | v90(constB133, bitIndex1) | (~v90(constB132, bitIndex1))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20590,plain,
% 8.88/6.46 (v90(constB133, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20589, 20588, 20563])).
% 8.88/6.46 tff(20591,plain,
% 8.88/6.46 ((~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20592,plain,
% 8.88/6.46 (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20591, 20590, 20559, 20528])).
% 8.88/6.46 tff(20593,plain,
% 8.88/6.46 ((~(v125(constB133) <=> (~((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))) | v125(constB133) | ((~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20594,plain,
% 8.88/6.46 (v125(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20593, 20592, 3532])).
% 8.88/6.46 tff(20595,plain,
% 8.88/6.46 ((v114(constB133) | v125(constB133)) | (~v125(constB133))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20596,plain,
% 8.88/6.46 (v114(constB133) | v125(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20595, 20594])).
% 8.88/6.46 tff(20597,plain,
% 8.88/6.46 ((~(v113(constB133) <=> (v114(constB133) | v125(constB133)))) | v113(constB133) | (~(v114(constB133) | v125(constB133)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20598,plain,
% 8.88/6.46 (v113(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20597, 20596, 3525])).
% 8.88/6.46 tff(20599,plain,
% 8.88/6.46 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB133)) <=> v111(constB133))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20600,plain,
% 8.88/6.46 ((~v126(constB133)) <=> v111(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20599, 9720])).
% 8.88/6.46 tff(20601,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB133) <=> v26(constB133))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20602,plain,
% 8.88/6.46 (v111(constB133) <=> v26(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20601, 9732])).
% 8.88/6.46 tff(20603,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20604,plain,
% 8.88/6.46 (~v26(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20603, 9744])).
% 8.88/6.46 tff(20605,plain,
% 8.88/6.46 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133)) | v26(constB133)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20606,plain,
% 8.88/6.46 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20605, 20604])).
% 8.88/6.46 tff(20607,plain,
% 8.88/6.46 (~v111(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20606, 20602])).
% 8.88/6.46 tff(20608,plain,
% 8.88/6.46 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133) | v111(constB133)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20609,plain,
% 8.88/6.46 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20608, 20607])).
% 8.88/6.46 tff(20610,plain,
% 8.88/6.46 (v126(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20609, 20600])).
% 8.88/6.46 tff(20611,plain,
% 8.88/6.46 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133)) | (~v126(constB133))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20612,plain,
% 8.88/6.46 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20611, 20610])).
% 8.88/6.46 tff(20613,plain,
% 8.88/6.46 (~((~v113(constB133)) | (~v126(constB133)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20612, 20598])).
% 8.88/6.46 tff(20614,plain,
% 8.88/6.46 ((~(v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))) | v112(constB133) | ((~v113(constB133)) | (~v126(constB133)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20615,plain,
% 8.88/6.46 (v112(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20614, 20613, 3523])).
% 8.88/6.46 tff(20616,plain,
% 8.88/6.46 ((v111(constB133) | v112(constB133)) | (~v112(constB133))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20617,plain,
% 8.88/6.46 (v111(constB133) | v112(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20616, 20615])).
% 8.88/6.46 tff(20618,plain,
% 8.88/6.46 ((~(v108(constB133) <=> (v111(constB133) | v112(constB133)))) | v108(constB133) | (~(v111(constB133) | v112(constB133)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20619,plain,
% 8.88/6.46 (v108(constB133)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20618, 20617, 3521])).
% 8.88/6.46 tff(20620,plain,
% 8.88/6.46 ((~(v110(constB134) <=> v108(constB133))) | v110(constB134) | (~v108(constB133))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20621,plain,
% 8.88/6.46 (v110(constB134)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20620, 20619, 3519])).
% 8.88/6.46 tff(20622,plain,
% 8.88/6.46 ((~((~v101(constB134)) | (~v110(constB134)))) | (~v101(constB134)) | (~v110(constB134))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20623,plain,
% 8.88/6.46 (~((~v101(constB134)) | (~v110(constB134)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20622, 20621, 3515])).
% 8.88/6.46 tff(20624,plain,
% 8.88/6.46 ((~(v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))) | v100(constB134) | ((~v101(constB134)) | (~v110(constB134)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(20625,plain,
% 8.88/6.46 (v100(constB134)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20624, 20623, 3484])).
% 8.88/6.46 tff(20626,plain,
% 8.88/6.46 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20627,plain,
% 8.88/6.46 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20628,plain,
% 8.88/6.46 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20627, 20626])).
% 8.88/6.46 tff(20629,plain,
% 8.88/6.46 ((~v100(constB134)) | ![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20628, 9780])).
% 8.88/6.46 tff(20630,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20629, 20625])).
% 8.88/6.46 tff(20631,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(20632,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(20633,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex2)) | (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[20632, 20631])).
% 8.88/6.46 tff(20634,plain,
% 8.88/6.46 (v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[20633, 648, 20630])).
% 8.88/6.46 tff(20635,plain,
% 8.88/6.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20636,plain,
% 8.88/6.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20637,plain,
% 8.88/6.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20636, 20635])).
% 8.88/6.47 tff(20638,plain,
% 8.88/6.47 (![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20637, 3480, 9802])).
% 8.88/6.47 tff(20639,plain,
% 8.88/6.47 (((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20640,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20641,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex2)) | (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20640, 20639])).
% 8.88/6.47 tff(20642,plain,
% 8.88/6.47 (v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20641, 648, 20638])).
% 8.88/6.47 tff(20643,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB133) | ![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB133) | ![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20644,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB133) | ![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20645,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB133) | ![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20644, 20643])).
% 8.88/6.47 tff(20646,plain,
% 8.88/6.47 (![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20645, 9823, 20607])).
% 8.88/6.47 tff(20647,plain,
% 8.88/6.47 (((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20648,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20649,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex2)) | (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20648, 20647])).
% 8.88/6.47 tff(20650,plain,
% 8.88/6.47 (v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20649, 648, 20646])).
% 8.88/6.47 tff(20651,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20652,plain,
% 8.88/6.47 (v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20651, 9620])).
% 8.88/6.47 tff(20653,plain,
% 8.88/6.47 ((v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex2))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20654,plain,
% 8.88/6.47 (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20653, 20528])).
% 8.88/6.47 tff(20655,plain,
% 8.88/6.47 ((~(v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))))) | (~v119(constB133)) | (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20656,plain,
% 8.88/6.47 (~v119(constB133)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20655, 20654, 20652])).
% 8.88/6.47 tff(20657,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20658,plain,
% 8.88/6.47 ((v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2))))) <=> (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20659,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[20658])).
% 8.88/6.47 tff(20660,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[20659, 20657])).
% 8.88/6.47 tff(20661,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20662,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20661, 20660])).
% 8.88/6.47 tff(20663,plain,
% 8.88/6.47 (v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20662, 815])).
% 8.88/6.47 tff(20664,plain,
% 8.88/6.47 (((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20665,plain,
% 8.88/6.47 ((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20664, 20590])).
% 8.88/6.47 tff(20666,plain,
% 8.88/6.47 ((~(v124(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))) | (~v124(constB133)) | (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20667,plain,
% 8.88/6.47 (~v124(constB133)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20666, 20665, 20663])).
% 8.88/6.47 tff(20668,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20669,plain,
% 8.88/6.47 ((v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2))))) <=> (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20670,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[20669])).
% 8.88/6.47 tff(20671,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[20670, 20668])).
% 8.88/6.47 tff(20672,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20673,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20672, 20671])).
% 8.88/6.47 tff(20674,plain,
% 8.88/6.47 (v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20673, 919])).
% 8.88/6.47 tff(20675,plain,
% 8.88/6.47 (((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20676,plain,
% 8.88/6.47 ((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20675, 20590])).
% 8.88/6.47 tff(20677,plain,
% 8.88/6.47 ((~(v123(constB133) <=> (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0))))) | (~v123(constB133)) | (~((~v90(constB133, bitIndex2)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20678,plain,
% 8.88/6.47 (~v123(constB133)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20677, 20676, 20674])).
% 8.88/6.47 tff(20679,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20680,plain,
% 8.88/6.47 ((v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1))))) <=> (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20681,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[20680])).
% 8.88/6.47 tff(20682,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[20681, 20679])).
% 8.88/6.47 tff(20683,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20684,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20683, 20682])).
% 8.88/6.47 tff(20685,plain,
% 8.88/6.47 (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20684, 1025])).
% 8.88/6.47 tff(20686,plain,
% 8.88/6.47 ((v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20687,plain,
% 8.88/6.47 (v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20686, 20528])).
% 8.88/6.47 tff(20688,plain,
% 8.88/6.47 ((~(v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))) | (~v122(constB133)) | (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20689,plain,
% 8.88/6.47 (~v122(constB133)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20688, 20687, 20685])).
% 8.88/6.47 tff(20690,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20691,plain,
% 8.88/6.47 ((v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1))))) <=> (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20692,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[20691])).
% 8.88/6.47 tff(20693,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[20692, 20690])).
% 8.88/6.47 tff(20694,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20695,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20694, 20693])).
% 8.88/6.47 tff(20696,plain,
% 8.88/6.47 (v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20695, 1133])).
% 8.88/6.47 tff(20697,plain,
% 8.88/6.47 ((v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20698,plain,
% 8.88/6.47 (v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20697, 20528])).
% 8.88/6.47 tff(20699,plain,
% 8.88/6.47 ((~(v121(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0))))) | (~v121(constB133)) | (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | v90(constB133, bitIndex0)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20700,plain,
% 8.88/6.47 (~v121(constB133)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20699, 20698, 20696])).
% 8.88/6.47 tff(20701,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20702,plain,
% 8.88/6.47 ((v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0))))) <=> (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20703,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[20702])).
% 8.88/6.47 tff(20704,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[20703, 20701])).
% 8.88/6.47 tff(20705,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20706,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 8.88/6.47 tff(20707,plain,
% 8.88/6.47 (v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20706, 610])).
% 8.88/6.47 tff(20708,plain,
% 8.88/6.47 ((v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20709,plain,
% 8.88/6.47 (v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20708, 20528])).
% 8.88/6.47 tff(20710,plain,
% 8.88/6.47 ((~(v120(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)))))) | (~v120(constB133)) | (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0))))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20711,plain,
% 8.88/6.47 (~v120(constB133)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20710, 20709, 20707])).
% 8.88/6.47 tff(20712,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20713,plain,
% 8.88/6.47 ((v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) <=> (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20714,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[20713])).
% 8.88/6.47 tff(20715,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[20714, 20712])).
% 8.88/6.47 tff(20716,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20717,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 8.88/6.47 tff(20718,plain,
% 8.88/6.47 (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | ![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20717, 10951])).
% 8.88/6.47 tff(20719,plain,
% 8.88/6.47 (![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20718, 20711, 20700, 20689, 20678, 20667, 20656])).
% 8.88/6.47 tff(20720,plain,
% 8.88/6.47 (((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b001(bitIndex2)))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(20721,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b001(bitIndex2)))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(20722,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB133, bitIndex2) <=> b001(bitIndex2))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[20721, 20720])).
% 8.88/6.47 tff(20723,plain,
% 8.88/6.47 (v130(constB133, bitIndex2) <=> b001(bitIndex2)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[20722, 648, 20719])).
% 8.88/6.47 tff(20724,plain,
% 8.88/6.47 ((~(v130(constB133, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB133, bitIndex2)) | b001(bitIndex2)),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(20725,plain,
% 8.88/6.47 ((~(v130(constB133, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB133, bitIndex2))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20724, 9855])).
% 8.88/6.48 tff(20726,plain,
% 8.88/6.48 (~v130(constB133, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20725, 20723])).
% 8.88/6.48 tff(20727,plain,
% 8.88/6.48 ((~(v127(constB133, bitIndex2) <=> v130(constB133, bitIndex2))) | (~v127(constB133, bitIndex2)) | v130(constB133, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20728,plain,
% 8.88/6.48 (~v127(constB133, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20727, 20726, 20650])).
% 8.88/6.48 tff(20729,plain,
% 8.88/6.48 ((~(v129(constB134, bitIndex2) <=> v127(constB133, bitIndex2))) | (~v129(constB134, bitIndex2)) | v127(constB133, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20730,plain,
% 8.88/6.48 (~v129(constB134, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20729, 20728, 20642])).
% 8.88/6.48 tff(20731,plain,
% 8.88/6.48 ((~(v90(constB134, bitIndex2) <=> v129(constB134, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20732,plain,
% 8.88/6.48 (~v90(constB134, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20731, 20730, 20634])).
% 8.88/6.48 tff(20733,plain,
% 8.88/6.48 ((~(v90(constB135, bitIndex2) <=> v90(constB134, bitIndex2))) | (~v90(constB135, bitIndex2)) | v90(constB134, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20734,plain,
% 8.88/6.48 (~v90(constB135, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20733, 20732, 3477])).
% 8.88/6.48 tff(20735,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20736,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20737,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20736, 20735])).
% 8.88/6.48 tff(20738,plain,
% 8.88/6.48 (v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20737, 9653, 3473])).
% 8.88/6.48 tff(20739,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20740,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20741,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex0)) | (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20740, 20739])).
% 8.88/6.48 tff(20742,plain,
% 8.88/6.48 (v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20741, 9653, 20630])).
% 8.88/6.48 tff(20743,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20744,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20745,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex0)) | (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20744, 20743])).
% 8.88/6.48 tff(20746,plain,
% 8.88/6.48 (v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20745, 9653, 20638])).
% 8.88/6.48 tff(20747,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20748,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20749,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex0)) | (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20748, 20747])).
% 8.88/6.48 tff(20750,plain,
% 8.88/6.48 (v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20749, 9653, 20646])).
% 8.88/6.48 tff(20751,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b001(bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20752,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b001(bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20753,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB133, bitIndex0) <=> b001(bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20752, 20751])).
% 8.88/6.48 tff(20754,plain,
% 8.88/6.48 (v130(constB133, bitIndex0) <=> b001(bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20753, 9653, 20719])).
% 8.88/6.48 tff(20755,plain,
% 8.88/6.48 ((~(v130(constB133, bitIndex0) <=> b001(bitIndex0))) | v130(constB133, bitIndex0) | (~b001(bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20756,plain,
% 8.88/6.48 ((~(v130(constB133, bitIndex0) <=> b001(bitIndex0))) | v130(constB133, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20755, 9889])).
% 8.88/6.48 tff(20757,plain,
% 8.88/6.48 (v130(constB133, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20756, 20754])).
% 8.88/6.48 tff(20758,plain,
% 8.88/6.48 ((~(v127(constB133, bitIndex0) <=> v130(constB133, bitIndex0))) | v127(constB133, bitIndex0) | (~v130(constB133, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20759,plain,
% 8.88/6.48 (v127(constB133, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20758, 20757, 20750])).
% 8.88/6.48 tff(20760,plain,
% 8.88/6.48 ((~(v129(constB134, bitIndex0) <=> v127(constB133, bitIndex0))) | v129(constB134, bitIndex0) | (~v127(constB133, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20761,plain,
% 8.88/6.48 (v129(constB134, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20760, 20759, 20746])).
% 8.88/6.48 tff(20762,plain,
% 8.88/6.48 ((~(v90(constB134, bitIndex0) <=> v129(constB134, bitIndex0))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20763,plain,
% 8.88/6.48 (v90(constB134, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20762, 20761, 20742])).
% 8.88/6.48 tff(20764,plain,
% 8.88/6.48 ((~(v90(constB135, bitIndex0) <=> v90(constB134, bitIndex0))) | v90(constB135, bitIndex0) | (~v90(constB134, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20765,plain,
% 8.88/6.48 (v90(constB135, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20764, 20763, 20738])).
% 8.88/6.48 tff(20766,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20767,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20768,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB135, B) <=> v90(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20767, 20766])).
% 8.88/6.48 tff(20769,plain,
% 8.88/6.48 (v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20768, 375, 3473])).
% 8.88/6.48 tff(20770,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20771,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | ((~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20772,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB134, B) <=> v129(constB134, B)))) | (~less_3(bitIndex1)) | (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 8.88/6.48 tff(20773,plain,
% 8.88/6.48 (v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20772, 375, 20630])).
% 8.88/6.48 tff(20774,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20775,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | ((~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20776,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB134, B) <=> v127(constB133, B)))) | (~less_3(bitIndex1)) | (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20775, 20774])).
% 8.88/6.48 tff(20777,plain,
% 8.88/6.48 (v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20776, 375, 20638])).
% 8.88/6.48 tff(20778,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20779,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | ((~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20780,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB133, B) <=> v130(constB133, B)))) | (~less_3(bitIndex1)) | (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20779, 20778])).
% 8.88/6.48 tff(20781,plain,
% 8.88/6.48 (v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20780, 375, 20646])).
% 8.88/6.48 tff(20782,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b001(bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20783,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b001(bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20784,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB133, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB133, bitIndex1) <=> b001(bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20783, 20782])).
% 8.88/6.48 tff(20785,plain,
% 8.88/6.48 (v130(constB133, bitIndex1) <=> b001(bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20784, 375, 20719])).
% 8.88/6.48 tff(20786,plain,
% 8.88/6.48 ((~(v130(constB133, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB133, bitIndex1)) | b001(bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20787,plain,
% 8.88/6.48 ((~(v130(constB133, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB133, bitIndex1))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20786, 9923])).
% 8.88/6.48 tff(20788,plain,
% 8.88/6.48 (~v130(constB133, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20787, 20785])).
% 8.88/6.48 tff(20789,plain,
% 8.88/6.48 ((~(v127(constB133, bitIndex1) <=> v130(constB133, bitIndex1))) | (~v127(constB133, bitIndex1)) | v130(constB133, bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20790,plain,
% 8.88/6.48 (~v127(constB133, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20789, 20788, 20781])).
% 8.88/6.48 tff(20791,plain,
% 8.88/6.48 ((~(v129(constB134, bitIndex1) <=> v127(constB133, bitIndex1))) | (~v129(constB134, bitIndex1)) | v127(constB133, bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20792,plain,
% 8.88/6.48 (~v129(constB134, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20791, 20790, 20777])).
% 8.88/6.48 tff(20793,plain,
% 8.88/6.48 ((~(v90(constB134, bitIndex1) <=> v129(constB134, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20794,plain,
% 8.88/6.48 (~v90(constB134, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20793, 20792, 20773])).
% 8.88/6.48 tff(20795,plain,
% 8.88/6.48 ((~(v90(constB135, bitIndex1) <=> v90(constB134, bitIndex1))) | (~v90(constB135, bitIndex1)) | v90(constB134, bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20796,plain,
% 8.88/6.48 (~v90(constB135, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20795, 20794, 20769])).
% 8.88/6.48 tff(20797,plain,
% 8.88/6.48 ((~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))) | v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20798,plain,
% 8.88/6.48 (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20797, 20796, 20765, 20734])).
% 8.88/6.48 tff(20799,plain,
% 8.88/6.48 ((~(v120(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))))) | v120(constB135) | (v90(constB135, bitIndex2) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20800,plain,
% 8.88/6.48 (v120(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20799, 20798, 3445])).
% 8.88/6.48 tff(20801,plain,
% 8.88/6.48 ((v119(constB135) | v120(constB135)) | (~v120(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20802,plain,
% 8.88/6.48 (v119(constB135) | v120(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20801, 20800])).
% 8.88/6.48 tff(20803,plain,
% 8.88/6.48 ((~(v118(constB135) <=> (v119(constB135) | v120(constB135)))) | v118(constB135) | (~(v119(constB135) | v120(constB135)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20804,plain,
% 8.88/6.48 (v118(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20803, 20802, 3438])).
% 8.88/6.48 tff(20805,plain,
% 8.88/6.48 ((v118(constB135) | v121(constB135)) | (~v118(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20806,plain,
% 8.88/6.48 (v118(constB135) | v121(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20805, 20804])).
% 8.88/6.48 tff(20807,plain,
% 8.88/6.48 ((~(v117(constB135) <=> (v118(constB135) | v121(constB135)))) | v117(constB135) | (~(v118(constB135) | v121(constB135)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20808,plain,
% 8.88/6.48 (v117(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20807, 20806, 3436])).
% 8.88/6.48 tff(20809,plain,
% 8.88/6.48 ((v117(constB135) | v122(constB135)) | (~v117(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20810,plain,
% 8.88/6.48 (v117(constB135) | v122(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20809, 20808])).
% 8.88/6.48 tff(20811,plain,
% 8.88/6.48 ((~(v116(constB135) <=> (v117(constB135) | v122(constB135)))) | v116(constB135) | (~(v117(constB135) | v122(constB135)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20812,plain,
% 8.88/6.48 (v116(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20811, 20810, 3434])).
% 8.88/6.48 tff(20813,plain,
% 8.88/6.48 ((v116(constB135) | v123(constB135)) | (~v116(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20814,plain,
% 8.88/6.48 (v116(constB135) | v123(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20813, 20812])).
% 8.88/6.48 tff(20815,plain,
% 8.88/6.48 ((~(v115(constB135) <=> (v116(constB135) | v123(constB135)))) | v115(constB135) | (~(v116(constB135) | v123(constB135)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20816,plain,
% 8.88/6.48 (v115(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20815, 20814, 3432])).
% 8.88/6.48 tff(20817,plain,
% 8.88/6.48 ((v115(constB135) | v124(constB135)) | (~v115(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20818,plain,
% 8.88/6.48 (v115(constB135) | v124(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20817, 20816])).
% 8.88/6.48 tff(20819,plain,
% 8.88/6.48 ((~(v114(constB135) <=> (v115(constB135) | v124(constB135)))) | v114(constB135) | (~(v115(constB135) | v124(constB135)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20820,plain,
% 8.88/6.48 (v114(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20819, 20818, 3430])).
% 8.88/6.48 tff(20821,plain,
% 8.88/6.48 ((v114(constB135) | v125(constB135)) | (~v114(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20822,plain,
% 8.88/6.48 (v114(constB135) | v125(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20821, 20820])).
% 8.88/6.48 tff(20823,plain,
% 8.88/6.48 ((~(v113(constB135) <=> (v114(constB135) | v125(constB135)))) | v113(constB135) | (~(v114(constB135) | v125(constB135)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20824,plain,
% 8.88/6.48 (v113(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20823, 20822, 3428])).
% 8.88/6.48 tff(20825,plain,
% 8.88/6.48 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB135)) <=> v111(constB135))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20826,plain,
% 8.88/6.48 ((~v126(constB135)) <=> v111(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20825, 9720])).
% 8.88/6.48 tff(20827,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB135) <=> v26(constB135))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20828,plain,
% 8.88/6.48 (v111(constB135) <=> v26(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20827, 9732])).
% 8.88/6.48 tff(20829,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20830,plain,
% 8.88/6.48 (~v26(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20829, 9744])).
% 8.88/6.48 tff(20831,plain,
% 8.88/6.48 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135)) | v26(constB135)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20832,plain,
% 8.88/6.48 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20831, 20830])).
% 8.88/6.48 tff(20833,plain,
% 8.88/6.48 (~v111(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20832, 20828])).
% 8.88/6.48 tff(20834,plain,
% 8.88/6.48 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135) | v111(constB135)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20835,plain,
% 8.88/6.48 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20834, 20833])).
% 8.88/6.48 tff(20836,plain,
% 8.88/6.48 (v126(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20835, 20826])).
% 8.88/6.48 tff(20837,plain,
% 8.88/6.48 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135)) | (~v126(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20838,plain,
% 8.88/6.48 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20837, 20836])).
% 8.88/6.48 tff(20839,plain,
% 8.88/6.48 (~((~v113(constB135)) | (~v126(constB135)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20838, 20824])).
% 8.88/6.48 tff(20840,plain,
% 8.88/6.48 ((~(v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))) | v112(constB135) | ((~v113(constB135)) | (~v126(constB135)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20841,plain,
% 8.88/6.48 (v112(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20840, 20839, 3426])).
% 8.88/6.48 tff(20842,plain,
% 8.88/6.48 ((v111(constB135) | v112(constB135)) | (~v112(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20843,plain,
% 8.88/6.48 (v111(constB135) | v112(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20842, 20841])).
% 8.88/6.48 tff(20844,plain,
% 8.88/6.48 ((~(v108(constB135) <=> (v111(constB135) | v112(constB135)))) | v108(constB135) | (~(v111(constB135) | v112(constB135)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20845,plain,
% 8.88/6.48 (v108(constB135)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20844, 20843, 3424])).
% 8.88/6.48 tff(20846,plain,
% 8.88/6.48 ((~(v110(constB136) <=> v108(constB135))) | v110(constB136) | (~v108(constB135))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20847,plain,
% 8.88/6.48 (v110(constB136)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20846, 20845, 3422])).
% 8.88/6.48 tff(20848,plain,
% 8.88/6.48 ((~((~v101(constB136)) | (~v110(constB136)))) | (~v101(constB136)) | (~v110(constB136))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20849,plain,
% 8.88/6.48 (~((~v101(constB136)) | (~v110(constB136)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20848, 20847, 3418])).
% 8.88/6.48 tff(20850,plain,
% 8.88/6.48 ((~(v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))) | v100(constB136) | ((~v101(constB136)) | (~v110(constB136)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20851,plain,
% 8.88/6.48 (v100(constB136)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20850, 20849, 3387])).
% 8.88/6.48 tff(20852,plain,
% 8.88/6.48 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20853,plain,
% 8.88/6.48 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20854,plain,
% 8.88/6.48 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20853, 20852])).
% 8.88/6.48 tff(20855,plain,
% 8.88/6.48 ((~v100(constB136)) | ![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20854, 9780])).
% 8.88/6.48 tff(20856,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20855, 20851])).
% 8.88/6.48 tff(20857,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20858,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20859,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex2)) | (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20858, 20857])).
% 8.88/6.48 tff(20860,plain,
% 8.88/6.48 (v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20859, 648, 20856])).
% 8.88/6.48 tff(20861,plain,
% 8.88/6.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20862,plain,
% 8.88/6.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20863,plain,
% 8.88/6.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20862, 20861])).
% 8.88/6.48 tff(20864,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20863, 3383, 9802])).
% 8.88/6.48 tff(20865,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20866,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20867,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex2)) | (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20866, 20865])).
% 8.88/6.48 tff(20868,plain,
% 8.88/6.48 (v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20867, 648, 20864])).
% 8.88/6.48 tff(20869,plain,
% 8.88/6.48 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB135) | ![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB135) | ![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20870,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB135) | ![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20871,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB135) | ![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20870, 20869])).
% 8.88/6.48 tff(20872,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20871, 9823, 20833])).
% 8.88/6.48 tff(20873,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20874,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20875,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex2)) | (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20874, 20873])).
% 8.88/6.48 tff(20876,plain,
% 8.88/6.48 (v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20875, 648, 20872])).
% 8.88/6.48 tff(20877,plain,
% 8.88/6.48 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB135)) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB135)) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20878,plain,
% 8.88/6.48 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB135)) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20879,plain,
% 8.88/6.48 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB135)) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20878, 20877])).
% 8.88/6.48 tff(20880,plain,
% 8.88/6.48 ((~v120(constB135)) | ![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20879, 10027])).
% 8.88/6.48 tff(20881,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20880, 20800])).
% 8.88/6.48 tff(20882,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b010(bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20883,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b010(bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20884,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB135, bitIndex2) <=> b010(bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20883, 20882])).
% 8.88/6.48 tff(20885,plain,
% 8.88/6.48 (v130(constB135, bitIndex2) <=> b010(bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20884, 648, 20881])).
% 8.88/6.48 tff(20886,plain,
% 8.88/6.48 ((~(v130(constB135, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB135, bitIndex2)) | b010(bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20887,plain,
% 8.88/6.48 ((~(v130(constB135, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB135, bitIndex2))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20886, 10039])).
% 8.88/6.48 tff(20888,plain,
% 8.88/6.48 (~v130(constB135, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20887, 20885])).
% 8.88/6.48 tff(20889,plain,
% 8.88/6.48 ((~(v127(constB135, bitIndex2) <=> v130(constB135, bitIndex2))) | (~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20890,plain,
% 8.88/6.48 (~v127(constB135, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20889, 20888, 20876])).
% 8.88/6.48 tff(20891,plain,
% 8.88/6.48 ((~(v129(constB136, bitIndex2) <=> v127(constB135, bitIndex2))) | (~v129(constB136, bitIndex2)) | v127(constB135, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20892,plain,
% 8.88/6.48 (~v129(constB136, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20891, 20890, 20868])).
% 8.88/6.48 tff(20893,plain,
% 8.88/6.48 ((~(v90(constB136, bitIndex2) <=> v129(constB136, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20894,plain,
% 8.88/6.48 (~v90(constB136, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20893, 20892, 20860])).
% 8.88/6.48 tff(20895,plain,
% 8.88/6.48 ((~(v90(constB137, bitIndex2) <=> v90(constB136, bitIndex2))) | (~v90(constB137, bitIndex2)) | v90(constB136, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(20896,plain,
% 8.88/6.48 (~v90(constB137, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20895, 20894, 3380])).
% 8.88/6.48 tff(20897,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20898,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20899,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20898, 20897])).
% 8.88/6.48 tff(20900,plain,
% 8.88/6.48 (v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20899, 9653, 3376])).
% 8.88/6.48 tff(20901,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20902,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20903,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex0)) | (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20902, 20901])).
% 8.88/6.48 tff(20904,plain,
% 8.88/6.48 (v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20903, 9653, 20856])).
% 8.88/6.48 tff(20905,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(20906,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(20907,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex0)) | (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[20906, 20905])).
% 8.88/6.48 tff(20908,plain,
% 8.88/6.48 (v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[20907, 9653, 20864])).
% 8.88/6.48 tff(20909,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(20910,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20911,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex0)) | (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[20910, 20909])).
% 8.88/6.49 tff(20912,plain,
% 8.88/6.49 (v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20911, 9653, 20872])).
% 8.88/6.49 tff(20913,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b010(bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(20914,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b010(bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20915,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB135, bitIndex0) <=> b010(bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[20914, 20913])).
% 8.88/6.49 tff(20916,plain,
% 8.88/6.49 (v130(constB135, bitIndex0) <=> b010(bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20915, 9653, 20881])).
% 8.88/6.49 tff(20917,plain,
% 8.88/6.49 ((~(v130(constB135, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB135, bitIndex0)) | b010(bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20918,plain,
% 8.88/6.49 ((~(v130(constB135, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB135, bitIndex0))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20917, 10073])).
% 8.88/6.49 tff(20919,plain,
% 8.88/6.49 (~v130(constB135, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20918, 20916])).
% 8.88/6.49 tff(20920,plain,
% 8.88/6.49 ((~(v127(constB135, bitIndex0) <=> v130(constB135, bitIndex0))) | (~v127(constB135, bitIndex0)) | v130(constB135, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20921,plain,
% 8.88/6.49 (~v127(constB135, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20920, 20919, 20912])).
% 8.88/6.49 tff(20922,plain,
% 8.88/6.49 ((~(v129(constB136, bitIndex0) <=> v127(constB135, bitIndex0))) | (~v129(constB136, bitIndex0)) | v127(constB135, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20923,plain,
% 8.88/6.49 (~v129(constB136, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20922, 20921, 20908])).
% 8.88/6.49 tff(20924,plain,
% 8.88/6.49 ((~(v90(constB136, bitIndex0) <=> v129(constB136, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20925,plain,
% 8.88/6.49 (~v90(constB136, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20924, 20923, 20904])).
% 8.88/6.49 tff(20926,plain,
% 8.88/6.49 ((~(v90(constB137, bitIndex0) <=> v90(constB136, bitIndex0))) | (~v90(constB137, bitIndex0)) | v90(constB136, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20927,plain,
% 8.88/6.49 (~v90(constB137, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20926, 20925, 20900])).
% 8.88/6.49 tff(20928,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(20929,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20930,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB137, B) <=> v90(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 8.88/6.49 tff(20931,plain,
% 8.88/6.49 (v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20930, 375, 3376])).
% 8.88/6.49 tff(20932,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(20933,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | ((~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20934,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB136, B) <=> v129(constB136, B)))) | (~less_3(bitIndex1)) | (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[20933, 20932])).
% 8.88/6.49 tff(20935,plain,
% 8.88/6.49 (v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20934, 375, 20856])).
% 8.88/6.49 tff(20936,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(20937,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | ((~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20938,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB136, B) <=> v127(constB135, B)))) | (~less_3(bitIndex1)) | (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 8.88/6.49 tff(20939,plain,
% 8.88/6.49 (v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20938, 375, 20864])).
% 8.88/6.49 tff(20940,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(20941,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | ((~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20942,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB135, B) <=> v130(constB135, B)))) | (~less_3(bitIndex1)) | (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[20941, 20940])).
% 8.88/6.49 tff(20943,plain,
% 8.88/6.49 (v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20942, 375, 20872])).
% 8.88/6.49 tff(20944,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b010(bitIndex1)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(20945,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b010(bitIndex1)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20946,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB135, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB135, bitIndex1) <=> b010(bitIndex1))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[20945, 20944])).
% 8.88/6.49 tff(20947,plain,
% 8.88/6.49 (v130(constB135, bitIndex1) <=> b010(bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20946, 375, 20881])).
% 8.88/6.49 tff(20948,plain,
% 8.88/6.49 ((~(v130(constB135, bitIndex1) <=> b010(bitIndex1))) | v130(constB135, bitIndex1) | (~b010(bitIndex1))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20949,plain,
% 8.88/6.49 ((~(v130(constB135, bitIndex1) <=> b010(bitIndex1))) | v130(constB135, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20948, 10107])).
% 8.88/6.49 tff(20950,plain,
% 8.88/6.49 (v130(constB135, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20949, 20947])).
% 8.88/6.49 tff(20951,plain,
% 8.88/6.49 ((~(v127(constB135, bitIndex1) <=> v130(constB135, bitIndex1))) | v127(constB135, bitIndex1) | (~v130(constB135, bitIndex1))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20952,plain,
% 8.88/6.49 (v127(constB135, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20951, 20950, 20943])).
% 8.88/6.49 tff(20953,plain,
% 8.88/6.49 ((~(v129(constB136, bitIndex1) <=> v127(constB135, bitIndex1))) | v129(constB136, bitIndex1) | (~v127(constB135, bitIndex1))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20954,plain,
% 8.88/6.49 (v129(constB136, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20953, 20952, 20939])).
% 8.88/6.49 tff(20955,plain,
% 8.88/6.49 ((~(v90(constB136, bitIndex1) <=> v129(constB136, bitIndex1))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20956,plain,
% 8.88/6.49 (v90(constB136, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20955, 20954, 20935])).
% 8.88/6.49 tff(20957,plain,
% 8.88/6.49 ((~(v90(constB137, bitIndex1) <=> v90(constB136, bitIndex1))) | v90(constB137, bitIndex1) | (~v90(constB136, bitIndex1))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20958,plain,
% 8.88/6.49 (v90(constB137, bitIndex1)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20957, 20956, 20931])).
% 8.88/6.49 tff(20959,plain,
% 8.88/6.49 ((~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20960,plain,
% 8.88/6.49 (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20959, 20958, 20927, 20896])).
% 8.88/6.49 tff(20961,plain,
% 8.88/6.49 ((~(v121(constB137) <=> (~(v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))))) | v121(constB137) | (v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex0))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20962,plain,
% 8.88/6.49 (v121(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20961, 20960, 3348])).
% 8.88/6.49 tff(20963,plain,
% 8.88/6.49 ((v118(constB137) | v121(constB137)) | (~v121(constB137))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20964,plain,
% 8.88/6.49 (v118(constB137) | v121(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20963, 20962])).
% 8.88/6.49 tff(20965,plain,
% 8.88/6.49 ((~(v117(constB137) <=> (v118(constB137) | v121(constB137)))) | v117(constB137) | (~(v118(constB137) | v121(constB137)))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20966,plain,
% 8.88/6.49 (v117(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20965, 20964, 3341])).
% 8.88/6.49 tff(20967,plain,
% 8.88/6.49 ((v117(constB137) | v122(constB137)) | (~v117(constB137))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20968,plain,
% 8.88/6.49 (v117(constB137) | v122(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20967, 20966])).
% 8.88/6.49 tff(20969,plain,
% 8.88/6.49 ((~(v116(constB137) <=> (v117(constB137) | v122(constB137)))) | v116(constB137) | (~(v117(constB137) | v122(constB137)))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20970,plain,
% 8.88/6.49 (v116(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20969, 20968, 3339])).
% 8.88/6.49 tff(20971,plain,
% 8.88/6.49 ((v116(constB137) | v123(constB137)) | (~v116(constB137))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20972,plain,
% 8.88/6.49 (v116(constB137) | v123(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20971, 20970])).
% 8.88/6.49 tff(20973,plain,
% 8.88/6.49 ((~(v115(constB137) <=> (v116(constB137) | v123(constB137)))) | v115(constB137) | (~(v116(constB137) | v123(constB137)))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20974,plain,
% 8.88/6.49 (v115(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20973, 20972, 3337])).
% 8.88/6.49 tff(20975,plain,
% 8.88/6.49 ((v115(constB137) | v124(constB137)) | (~v115(constB137))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20976,plain,
% 8.88/6.49 (v115(constB137) | v124(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20975, 20974])).
% 8.88/6.49 tff(20977,plain,
% 8.88/6.49 ((~(v114(constB137) <=> (v115(constB137) | v124(constB137)))) | v114(constB137) | (~(v115(constB137) | v124(constB137)))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20978,plain,
% 8.88/6.49 (v114(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20977, 20976, 3335])).
% 8.88/6.49 tff(20979,plain,
% 8.88/6.49 ((v114(constB137) | v125(constB137)) | (~v114(constB137))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20980,plain,
% 8.88/6.49 (v114(constB137) | v125(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20979, 20978])).
% 8.88/6.49 tff(20981,plain,
% 8.88/6.49 ((~(v113(constB137) <=> (v114(constB137) | v125(constB137)))) | v113(constB137) | (~(v114(constB137) | v125(constB137)))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20982,plain,
% 8.88/6.49 (v113(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20981, 20980, 3333])).
% 8.88/6.49 tff(20983,plain,
% 8.88/6.49 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB137)) <=> v111(constB137))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20984,plain,
% 8.88/6.49 ((~v126(constB137)) <=> v111(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20983, 9720])).
% 8.88/6.49 tff(20985,plain,
% 8.88/6.49 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB137) <=> v26(constB137))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20986,plain,
% 8.88/6.49 (v111(constB137) <=> v26(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20985, 9732])).
% 8.88/6.49 tff(20987,plain,
% 8.88/6.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(20988,plain,
% 8.88/6.49 (~v26(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20987, 9744])).
% 8.88/6.49 tff(20989,plain,
% 8.88/6.49 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137)) | v26(constB137)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20990,plain,
% 8.88/6.49 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20989, 20988])).
% 8.88/6.49 tff(20991,plain,
% 8.88/6.49 (~v111(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20990, 20986])).
% 8.88/6.49 tff(20992,plain,
% 8.88/6.49 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137) | v111(constB137)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20993,plain,
% 8.88/6.49 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20992, 20991])).
% 8.88/6.49 tff(20994,plain,
% 8.88/6.49 (v126(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20993, 20984])).
% 8.88/6.49 tff(20995,plain,
% 8.88/6.49 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137)) | (~v126(constB137))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20996,plain,
% 8.88/6.49 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20995, 20994])).
% 8.88/6.49 tff(20997,plain,
% 8.88/6.49 (~((~v113(constB137)) | (~v126(constB137)))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20996, 20982])).
% 8.88/6.49 tff(20998,plain,
% 8.88/6.49 ((~(v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))) | v112(constB137) | ((~v113(constB137)) | (~v126(constB137)))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(20999,plain,
% 8.88/6.49 (v112(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[20998, 20997, 3331])).
% 8.88/6.49 tff(21000,plain,
% 8.88/6.49 ((v111(constB137) | v112(constB137)) | (~v112(constB137))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21001,plain,
% 8.88/6.49 (v111(constB137) | v112(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21000, 20999])).
% 8.88/6.49 tff(21002,plain,
% 8.88/6.49 ((~(v108(constB137) <=> (v111(constB137) | v112(constB137)))) | v108(constB137) | (~(v111(constB137) | v112(constB137)))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21003,plain,
% 8.88/6.49 (v108(constB137)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21002, 21001, 3329])).
% 8.88/6.49 tff(21004,plain,
% 8.88/6.49 ((~(v110(constB138) <=> v108(constB137))) | v110(constB138) | (~v108(constB137))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21005,plain,
% 8.88/6.49 (v110(constB138)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21004, 21003, 3327])).
% 8.88/6.49 tff(21006,plain,
% 8.88/6.49 ((~((~v101(constB138)) | (~v110(constB138)))) | (~v101(constB138)) | (~v110(constB138))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21007,plain,
% 8.88/6.49 (~((~v101(constB138)) | (~v110(constB138)))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21006, 21005, 3323])).
% 8.88/6.49 tff(21008,plain,
% 8.88/6.49 ((~(v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))) | v100(constB138) | ((~v101(constB138)) | (~v110(constB138)))),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21009,plain,
% 8.88/6.49 (v100(constB138)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21008, 21007, 3292])).
% 8.88/6.49 tff(21010,plain,
% 8.88/6.49 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B))))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21011,plain,
% 8.88/6.49 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B))))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21012,plain,
% 8.88/6.49 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21011, 21010])).
% 8.88/6.49 tff(21013,plain,
% 8.88/6.49 ((~v100(constB138)) | ![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21012, 9780])).
% 8.88/6.49 tff(21014,plain,
% 8.88/6.49 (![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21013, 21009])).
% 8.88/6.49 tff(21015,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21016,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21017,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex2)) | (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21016, 21015])).
% 8.88/6.49 tff(21018,plain,
% 8.88/6.49 (v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21017, 648, 21014])).
% 8.88/6.49 tff(21019,plain,
% 8.88/6.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B))))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21020,plain,
% 8.88/6.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B))))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21021,plain,
% 8.88/6.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21020, 21019])).
% 8.88/6.49 tff(21022,plain,
% 8.88/6.49 (![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21021, 3288, 9802])).
% 8.88/6.49 tff(21023,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21024,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21025,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex2)) | (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21024, 21023])).
% 8.88/6.49 tff(21026,plain,
% 8.88/6.49 (v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21025, 648, 21022])).
% 8.88/6.49 tff(21027,plain,
% 8.88/6.49 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB137) | ![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB137) | ![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B))))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21028,plain,
% 8.88/6.49 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB137) | ![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B))))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21029,plain,
% 8.88/6.49 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB137) | ![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21028, 21027])).
% 8.88/6.49 tff(21030,plain,
% 8.88/6.49 (![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21029, 9823, 20991])).
% 8.88/6.49 tff(21031,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21032,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21033,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex2)) | (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21032, 21031])).
% 8.88/6.49 tff(21034,plain,
% 8.88/6.49 (v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21033, 648, 21030])).
% 8.88/6.49 tff(21035,plain,
% 8.88/6.49 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B))))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21036,plain,
% 8.88/6.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B))))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21037,plain,
% 8.88/6.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21036, 21035])).
% 8.88/6.49 tff(21038,plain,
% 8.88/6.49 ((~v121(constB137)) | ![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21037, 10207])).
% 8.88/6.49 tff(21039,plain,
% 8.88/6.49 (![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21038, 20962])).
% 8.88/6.49 tff(21040,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b011(bitIndex2)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21041,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b011(bitIndex2)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21042,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB137, bitIndex2) <=> b011(bitIndex2))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21041, 21040])).
% 8.88/6.49 tff(21043,plain,
% 8.88/6.49 (v130(constB137, bitIndex2) <=> b011(bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21042, 648, 21039])).
% 8.88/6.49 tff(21044,plain,
% 8.88/6.49 ((~(v130(constB137, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB137, bitIndex2)) | b011(bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21045,plain,
% 8.88/6.49 ((~(v130(constB137, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB137, bitIndex2))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21044, 10219])).
% 8.88/6.49 tff(21046,plain,
% 8.88/6.49 (~v130(constB137, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21045, 21043])).
% 8.88/6.49 tff(21047,plain,
% 8.88/6.49 ((~(v127(constB137, bitIndex2) <=> v130(constB137, bitIndex2))) | (~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21048,plain,
% 8.88/6.49 (~v127(constB137, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21047, 21046, 21034])).
% 8.88/6.49 tff(21049,plain,
% 8.88/6.49 ((~(v129(constB138, bitIndex2) <=> v127(constB137, bitIndex2))) | (~v129(constB138, bitIndex2)) | v127(constB137, bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21050,plain,
% 8.88/6.49 (~v129(constB138, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21049, 21048, 21026])).
% 8.88/6.49 tff(21051,plain,
% 8.88/6.49 ((~(v90(constB138, bitIndex2) <=> v129(constB138, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21052,plain,
% 8.88/6.49 (~v90(constB138, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21051, 21050, 21018])).
% 8.88/6.49 tff(21053,plain,
% 8.88/6.49 ((~(v90(constB139, bitIndex2) <=> v90(constB138, bitIndex2))) | (~v90(constB139, bitIndex2)) | v90(constB138, bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(21054,plain,
% 8.88/6.49 (~v90(constB139, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21053, 21052, 3285])).
% 8.88/6.49 tff(21055,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21056,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21057,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21056, 21055])).
% 8.88/6.49 tff(21058,plain,
% 8.88/6.49 (v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21057, 9653, 3281])).
% 8.88/6.49 tff(21059,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21060,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21061,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex0)) | (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21060, 21059])).
% 8.88/6.49 tff(21062,plain,
% 8.88/6.49 (v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21061, 9653, 21014])).
% 8.88/6.49 tff(21063,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21064,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21065,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex0)) | (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 8.88/6.49 tff(21066,plain,
% 8.88/6.49 (v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21065, 9653, 21022])).
% 8.88/6.49 tff(21067,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21068,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21069,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex0)) | (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[21068, 21067])).
% 8.88/6.49 tff(21070,plain,
% 8.88/6.49 (v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[21069, 9653, 21030])).
% 8.88/6.49 tff(21071,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b011(bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(21072,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b011(bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(21073,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB137, bitIndex0) <=> b011(bitIndex0))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21072, 21071])).
% 8.92/6.50 tff(21074,plain,
% 8.92/6.50 (v130(constB137, bitIndex0) <=> b011(bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21073, 9653, 21039])).
% 8.92/6.50 tff(21075,plain,
% 8.92/6.50 ((~(v130(constB137, bitIndex0) <=> b011(bitIndex0))) | v130(constB137, bitIndex0) | (~b011(bitIndex0))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21076,plain,
% 8.92/6.50 ((~(v130(constB137, bitIndex0) <=> b011(bitIndex0))) | v130(constB137, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21075, 10253])).
% 8.92/6.50 tff(21077,plain,
% 8.92/6.50 (v130(constB137, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21076, 21074])).
% 8.92/6.50 tff(21078,plain,
% 8.92/6.50 ((~(v127(constB137, bitIndex0) <=> v130(constB137, bitIndex0))) | v127(constB137, bitIndex0) | (~v130(constB137, bitIndex0))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21079,plain,
% 8.92/6.50 (v127(constB137, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21078, 21077, 21070])).
% 8.92/6.50 tff(21080,plain,
% 8.92/6.50 ((~(v129(constB138, bitIndex0) <=> v127(constB137, bitIndex0))) | v129(constB138, bitIndex0) | (~v127(constB137, bitIndex0))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21081,plain,
% 8.92/6.50 (v129(constB138, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21080, 21079, 21066])).
% 8.92/6.50 tff(21082,plain,
% 8.92/6.50 ((~(v90(constB138, bitIndex0) <=> v129(constB138, bitIndex0))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21083,plain,
% 8.92/6.50 (v90(constB138, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21082, 21081, 21062])).
% 8.92/6.50 tff(21084,plain,
% 8.92/6.50 ((~(v90(constB139, bitIndex0) <=> v90(constB138, bitIndex0))) | v90(constB139, bitIndex0) | (~v90(constB138, bitIndex0))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21085,plain,
% 8.92/6.50 (v90(constB139, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21084, 21083, 21058])).
% 8.92/6.50 tff(21086,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21087,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21088,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB139, B) <=> v90(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21087, 21086])).
% 8.92/6.50 tff(21089,plain,
% 8.92/6.50 (v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21088, 375, 3281])).
% 8.92/6.50 tff(21090,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21091,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | ((~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21092,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB138, B) <=> v129(constB138, B)))) | (~less_3(bitIndex1)) | (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21091, 21090])).
% 8.92/6.50 tff(21093,plain,
% 8.92/6.50 (v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21092, 375, 21014])).
% 8.92/6.50 tff(21094,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21095,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | ((~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21096,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB138, B) <=> v127(constB137, B)))) | (~less_3(bitIndex1)) | (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21095, 21094])).
% 8.92/6.50 tff(21097,plain,
% 8.92/6.50 (v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21096, 375, 21022])).
% 8.92/6.50 tff(21098,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21099,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | ((~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21100,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB137, B) <=> v130(constB137, B)))) | (~less_3(bitIndex1)) | (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 8.92/6.50 tff(21101,plain,
% 8.92/6.50 (v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21100, 375, 21030])).
% 8.92/6.50 tff(21102,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b011(bitIndex1)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21103,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b011(bitIndex1)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21104,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB137, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB137, bitIndex1) <=> b011(bitIndex1))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21103, 21102])).
% 8.92/6.50 tff(21105,plain,
% 8.92/6.50 (v130(constB137, bitIndex1) <=> b011(bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21104, 375, 21039])).
% 8.92/6.50 tff(21106,plain,
% 8.92/6.50 ((~(v130(constB137, bitIndex1) <=> b011(bitIndex1))) | v130(constB137, bitIndex1) | (~b011(bitIndex1))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21107,plain,
% 8.92/6.50 ((~(v130(constB137, bitIndex1) <=> b011(bitIndex1))) | v130(constB137, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21106, 10287])).
% 8.92/6.50 tff(21108,plain,
% 8.92/6.50 (v130(constB137, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21107, 21105])).
% 8.92/6.50 tff(21109,plain,
% 8.92/6.50 ((~(v127(constB137, bitIndex1) <=> v130(constB137, bitIndex1))) | v127(constB137, bitIndex1) | (~v130(constB137, bitIndex1))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21110,plain,
% 8.92/6.50 (v127(constB137, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21109, 21108, 21101])).
% 8.92/6.50 tff(21111,plain,
% 8.92/6.50 ((~(v129(constB138, bitIndex1) <=> v127(constB137, bitIndex1))) | v129(constB138, bitIndex1) | (~v127(constB137, bitIndex1))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21112,plain,
% 8.92/6.50 (v129(constB138, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21111, 21110, 21097])).
% 8.92/6.50 tff(21113,plain,
% 8.92/6.50 ((~(v90(constB138, bitIndex1) <=> v129(constB138, bitIndex1))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21114,plain,
% 8.92/6.50 (v90(constB138, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21113, 21112, 21093])).
% 8.92/6.50 tff(21115,plain,
% 8.92/6.50 ((~(v90(constB139, bitIndex1) <=> v90(constB138, bitIndex1))) | v90(constB139, bitIndex1) | (~v90(constB138, bitIndex1))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21116,plain,
% 8.92/6.50 (v90(constB139, bitIndex1)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21115, 21114, 21089])).
% 8.92/6.50 tff(21117,plain,
% 8.92/6.50 ((~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21118,plain,
% 8.92/6.50 (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21117, 21116, 21085, 21054])).
% 8.92/6.50 tff(21119,plain,
% 8.92/6.50 ((~(v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))) | v122(constB139) | (v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21120,plain,
% 8.92/6.50 (v122(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21119, 21118, 3253])).
% 8.92/6.50 tff(21121,plain,
% 8.92/6.50 ((v117(constB139) | v122(constB139)) | (~v122(constB139))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21122,plain,
% 8.92/6.50 (v117(constB139) | v122(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21121, 21120])).
% 8.92/6.50 tff(21123,plain,
% 8.92/6.50 ((~(v116(constB139) <=> (v117(constB139) | v122(constB139)))) | v116(constB139) | (~(v117(constB139) | v122(constB139)))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21124,plain,
% 8.92/6.50 (v116(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21123, 21122, 3246])).
% 8.92/6.50 tff(21125,plain,
% 8.92/6.50 ((v116(constB139) | v123(constB139)) | (~v116(constB139))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21126,plain,
% 8.92/6.50 (v116(constB139) | v123(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21125, 21124])).
% 8.92/6.50 tff(21127,plain,
% 8.92/6.50 ((~(v115(constB139) <=> (v116(constB139) | v123(constB139)))) | v115(constB139) | (~(v116(constB139) | v123(constB139)))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21128,plain,
% 8.92/6.50 (v115(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21127, 21126, 3244])).
% 8.92/6.50 tff(21129,plain,
% 8.92/6.50 ((v115(constB139) | v124(constB139)) | (~v115(constB139))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21130,plain,
% 8.92/6.50 (v115(constB139) | v124(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21129, 21128])).
% 8.92/6.50 tff(21131,plain,
% 8.92/6.50 ((~(v114(constB139) <=> (v115(constB139) | v124(constB139)))) | v114(constB139) | (~(v115(constB139) | v124(constB139)))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21132,plain,
% 8.92/6.50 (v114(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21131, 21130, 3242])).
% 8.92/6.50 tff(21133,plain,
% 8.92/6.50 ((v114(constB139) | v125(constB139)) | (~v114(constB139))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21134,plain,
% 8.92/6.50 (v114(constB139) | v125(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21133, 21132])).
% 8.92/6.50 tff(21135,plain,
% 8.92/6.50 ((~(v113(constB139) <=> (v114(constB139) | v125(constB139)))) | v113(constB139) | (~(v114(constB139) | v125(constB139)))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21136,plain,
% 8.92/6.50 (v113(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21135, 21134, 3240])).
% 8.92/6.50 tff(21137,plain,
% 8.92/6.50 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB139)) <=> v111(constB139))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21138,plain,
% 8.92/6.50 ((~v126(constB139)) <=> v111(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21137, 9720])).
% 8.92/6.50 tff(21139,plain,
% 8.92/6.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB139) <=> v26(constB139))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21140,plain,
% 8.92/6.50 (v111(constB139) <=> v26(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21139, 9732])).
% 8.92/6.50 tff(21141,plain,
% 8.92/6.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21142,plain,
% 8.92/6.50 (~v26(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21141, 9744])).
% 8.92/6.50 tff(21143,plain,
% 8.92/6.50 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139)) | v26(constB139)),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21144,plain,
% 8.92/6.50 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21143, 21142])).
% 8.92/6.50 tff(21145,plain,
% 8.92/6.50 (~v111(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21144, 21140])).
% 8.92/6.50 tff(21146,plain,
% 8.92/6.50 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139) | v111(constB139)),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21147,plain,
% 8.92/6.50 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21146, 21145])).
% 8.92/6.50 tff(21148,plain,
% 8.92/6.50 (v126(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21147, 21138])).
% 8.92/6.50 tff(21149,plain,
% 8.92/6.50 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139)) | (~v126(constB139))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21150,plain,
% 8.92/6.50 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21149, 21148])).
% 8.92/6.50 tff(21151,plain,
% 8.92/6.50 (~((~v113(constB139)) | (~v126(constB139)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21150, 21136])).
% 8.92/6.50 tff(21152,plain,
% 8.92/6.50 ((~(v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))) | v112(constB139) | ((~v113(constB139)) | (~v126(constB139)))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21153,plain,
% 8.92/6.50 (v112(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21152, 21151, 3238])).
% 8.92/6.50 tff(21154,plain,
% 8.92/6.50 ((v111(constB139) | v112(constB139)) | (~v112(constB139))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21155,plain,
% 8.92/6.50 (v111(constB139) | v112(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21154, 21153])).
% 8.92/6.50 tff(21156,plain,
% 8.92/6.50 ((~(v108(constB139) <=> (v111(constB139) | v112(constB139)))) | v108(constB139) | (~(v111(constB139) | v112(constB139)))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21157,plain,
% 8.92/6.50 (v108(constB139)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21156, 21155, 3236])).
% 8.92/6.50 tff(21158,plain,
% 8.92/6.50 ((~(v110(constB140) <=> v108(constB139))) | v110(constB140) | (~v108(constB139))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21159,plain,
% 8.92/6.50 (v110(constB140)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21158, 21157, 3234])).
% 8.92/6.50 tff(21160,plain,
% 8.92/6.50 ((~((~v101(constB140)) | (~v110(constB140)))) | (~v101(constB140)) | (~v110(constB140))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21161,plain,
% 8.92/6.50 (~((~v101(constB140)) | (~v110(constB140)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21160, 21159, 3230])).
% 8.92/6.50 tff(21162,plain,
% 8.92/6.50 ((~(v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))) | v100(constB140) | ((~v101(constB140)) | (~v110(constB140)))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21163,plain,
% 8.92/6.50 (v100(constB140)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21162, 21161, 3199])).
% 8.92/6.50 tff(21164,plain,
% 8.92/6.50 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B))))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21165,plain,
% 8.92/6.50 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B))))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21166,plain,
% 8.92/6.50 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21165, 21164])).
% 8.92/6.50 tff(21167,plain,
% 8.92/6.50 ((~v100(constB140)) | ![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21166, 9780])).
% 8.92/6.50 tff(21168,plain,
% 8.92/6.50 (![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21167, 21163])).
% 8.92/6.50 tff(21169,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21170,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21171,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex2)) | (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21170, 21169])).
% 8.92/6.50 tff(21172,plain,
% 8.92/6.50 (v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21171, 648, 21168])).
% 8.92/6.50 tff(21173,plain,
% 8.92/6.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B))))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21174,plain,
% 8.92/6.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B))))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21175,plain,
% 8.92/6.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 8.92/6.50 tff(21176,plain,
% 8.92/6.50 (![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21175, 3195, 9802])).
% 8.92/6.50 tff(21177,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21178,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21179,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex2)) | (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 8.92/6.50 tff(21180,plain,
% 8.92/6.50 (v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21179, 648, 21176])).
% 8.92/6.50 tff(21181,plain,
% 8.92/6.50 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB139) | ![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB139) | ![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B))))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21182,plain,
% 8.92/6.50 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB139) | ![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B))))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21183,plain,
% 8.92/6.50 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB139) | ![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21182, 21181])).
% 8.92/6.50 tff(21184,plain,
% 8.92/6.50 (![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21183, 9823, 21145])).
% 8.92/6.50 tff(21185,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21186,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21187,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex2)) | (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21186, 21185])).
% 8.92/6.50 tff(21188,plain,
% 8.92/6.50 (v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21187, 648, 21184])).
% 8.92/6.50 tff(21189,plain,
% 8.92/6.50 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B))))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21190,plain,
% 8.92/6.50 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B))))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21191,plain,
% 8.92/6.50 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 8.92/6.50 tff(21192,plain,
% 8.92/6.50 ((~v122(constB139)) | ![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21191, 10383])).
% 8.92/6.50 tff(21193,plain,
% 8.92/6.50 (![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21192, 21120])).
% 8.92/6.50 tff(21194,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b100(bitIndex2)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21195,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b100(bitIndex2)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21196,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB139, bitIndex2) <=> b100(bitIndex2))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21195, 21194])).
% 8.92/6.50 tff(21197,plain,
% 8.92/6.50 (v130(constB139, bitIndex2) <=> b100(bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21196, 648, 21193])).
% 8.92/6.50 tff(21198,plain,
% 8.92/6.50 ((~(v130(constB139, bitIndex2) <=> b100(bitIndex2))) | v130(constB139, bitIndex2) | (~b100(bitIndex2))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21199,plain,
% 8.92/6.50 ((~(v130(constB139, bitIndex2) <=> b100(bitIndex2))) | v130(constB139, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21198, 10395])).
% 8.92/6.50 tff(21200,plain,
% 8.92/6.50 (v130(constB139, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21199, 21197])).
% 8.92/6.50 tff(21201,plain,
% 8.92/6.50 ((~(v127(constB139, bitIndex2) <=> v130(constB139, bitIndex2))) | v127(constB139, bitIndex2) | (~v130(constB139, bitIndex2))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21202,plain,
% 8.92/6.50 (v127(constB139, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21201, 21200, 21188])).
% 8.92/6.50 tff(21203,plain,
% 8.92/6.50 ((~(v129(constB140, bitIndex2) <=> v127(constB139, bitIndex2))) | v129(constB140, bitIndex2) | (~v127(constB139, bitIndex2))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21204,plain,
% 8.92/6.50 (v129(constB140, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21203, 21202, 21180])).
% 8.92/6.50 tff(21205,plain,
% 8.92/6.50 ((~(v90(constB140, bitIndex2) <=> v129(constB140, bitIndex2))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21206,plain,
% 8.92/6.50 (v90(constB140, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21205, 21204, 21172])).
% 8.92/6.50 tff(21207,plain,
% 8.92/6.50 ((~(v90(constB141, bitIndex2) <=> v90(constB140, bitIndex2))) | v90(constB141, bitIndex2) | (~v90(constB140, bitIndex2))),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21208,plain,
% 8.92/6.50 (v90(constB141, bitIndex2)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21207, 21206, 3192])).
% 8.92/6.50 tff(21209,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21210,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21211,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 8.92/6.50 tff(21212,plain,
% 8.92/6.50 (v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21211, 9653, 3188])).
% 8.92/6.50 tff(21213,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21214,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21215,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex0)) | (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 8.92/6.50 tff(21216,plain,
% 8.92/6.50 (v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21215, 9653, 21168])).
% 8.92/6.50 tff(21217,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21218,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21219,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex0)) | (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21218, 21217])).
% 8.92/6.50 tff(21220,plain,
% 8.92/6.50 (v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21219, 9653, 21176])).
% 8.92/6.50 tff(21221,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21222,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21223,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex0)) | (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21222, 21221])).
% 8.92/6.50 tff(21224,plain,
% 8.92/6.50 (v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21223, 9653, 21184])).
% 8.92/6.50 tff(21225,plain,
% 8.92/6.50 (((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b100(bitIndex0)))),
% 8.92/6.50 inference(rewrite,[status(thm)],[])).
% 8.92/6.50 tff(21226,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b100(bitIndex0)))),
% 8.92/6.50 inference(quant_inst,[status(thm)],[])).
% 8.92/6.50 tff(21227,plain,
% 8.92/6.50 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB139, bitIndex0) <=> b100(bitIndex0))),
% 8.92/6.50 inference(modus_ponens,[status(thm)],[21226, 21225])).
% 8.92/6.50 tff(21228,plain,
% 8.92/6.50 (v130(constB139, bitIndex0) <=> b100(bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21227, 9653, 21193])).
% 8.92/6.50 tff(21229,plain,
% 8.92/6.50 ((~(v130(constB139, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB139, bitIndex0)) | b100(bitIndex0)),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21230,plain,
% 8.92/6.50 ((~(v130(constB139, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB139, bitIndex0))),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21229, 10429])).
% 8.92/6.50 tff(21231,plain,
% 8.92/6.50 (~v130(constB139, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21230, 21228])).
% 8.92/6.50 tff(21232,plain,
% 8.92/6.50 ((~(v127(constB139, bitIndex0) <=> v130(constB139, bitIndex0))) | (~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21233,plain,
% 8.92/6.50 (~v127(constB139, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21232, 21231, 21224])).
% 8.92/6.50 tff(21234,plain,
% 8.92/6.50 ((~(v129(constB140, bitIndex0) <=> v127(constB139, bitIndex0))) | (~v129(constB140, bitIndex0)) | v127(constB139, bitIndex0)),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21235,plain,
% 8.92/6.50 (~v129(constB140, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21234, 21233, 21220])).
% 8.92/6.50 tff(21236,plain,
% 8.92/6.50 ((~(v90(constB140, bitIndex0) <=> v129(constB140, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0)),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.50 tff(21237,plain,
% 8.92/6.50 (~v90(constB140, bitIndex0)),
% 8.92/6.50 inference(unit_resolution,[status(thm)],[21236, 21235, 21216])).
% 8.92/6.50 tff(21238,plain,
% 8.92/6.50 ((~(v90(constB141, bitIndex0) <=> v90(constB140, bitIndex0))) | (~v90(constB141, bitIndex0)) | v90(constB140, bitIndex0)),
% 8.92/6.50 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21239,plain,
% 8.92/6.51 (~v90(constB141, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21238, 21237, 21212])).
% 8.92/6.51 tff(21240,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21241,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21242,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB141, B) <=> v90(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21241, 21240])).
% 8.92/6.51 tff(21243,plain,
% 8.92/6.51 (v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21242, 375, 3188])).
% 8.92/6.51 tff(21244,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21245,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | ((~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21246,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB140, B) <=> v129(constB140, B)))) | (~less_3(bitIndex1)) | (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 8.92/6.51 tff(21247,plain,
% 8.92/6.51 (v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21246, 375, 21168])).
% 8.92/6.51 tff(21248,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21249,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | ((~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21250,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB140, B) <=> v127(constB139, B)))) | (~less_3(bitIndex1)) | (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21249, 21248])).
% 8.92/6.51 tff(21251,plain,
% 8.92/6.51 (v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21250, 375, 21176])).
% 8.92/6.51 tff(21252,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21253,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | ((~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21254,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB139, B) <=> v130(constB139, B)))) | (~less_3(bitIndex1)) | (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 8.92/6.51 tff(21255,plain,
% 8.92/6.51 (v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21254, 375, 21184])).
% 8.92/6.51 tff(21256,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b100(bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21257,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b100(bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21258,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB139, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB139, bitIndex1) <=> b100(bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21257, 21256])).
% 8.92/6.51 tff(21259,plain,
% 8.92/6.51 (v130(constB139, bitIndex1) <=> b100(bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21258, 375, 21193])).
% 8.92/6.51 tff(21260,plain,
% 8.92/6.51 ((~(v130(constB139, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB139, bitIndex1)) | b100(bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21261,plain,
% 8.92/6.51 ((~(v130(constB139, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB139, bitIndex1))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21260, 10463])).
% 8.92/6.51 tff(21262,plain,
% 8.92/6.51 (~v130(constB139, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21261, 21259])).
% 8.92/6.51 tff(21263,plain,
% 8.92/6.51 ((~(v127(constB139, bitIndex1) <=> v130(constB139, bitIndex1))) | (~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21264,plain,
% 8.92/6.51 (~v127(constB139, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21263, 21262, 21255])).
% 8.92/6.51 tff(21265,plain,
% 8.92/6.51 ((~(v129(constB140, bitIndex1) <=> v127(constB139, bitIndex1))) | (~v129(constB140, bitIndex1)) | v127(constB139, bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21266,plain,
% 8.92/6.51 (~v129(constB140, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21265, 21264, 21251])).
% 8.92/6.51 tff(21267,plain,
% 8.92/6.51 ((~(v90(constB140, bitIndex1) <=> v129(constB140, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21268,plain,
% 8.92/6.51 (~v90(constB140, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21267, 21266, 21247])).
% 8.92/6.51 tff(21269,plain,
% 8.92/6.51 ((~(v90(constB141, bitIndex1) <=> v90(constB140, bitIndex1))) | (~v90(constB141, bitIndex1)) | v90(constB140, bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21270,plain,
% 8.92/6.51 (~v90(constB141, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21269, 21268, 21243])).
% 8.92/6.51 tff(21271,plain,
% 8.92/6.51 ((~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))) | (~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21272,plain,
% 8.92/6.51 (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21271, 21270, 21239, 21208])).
% 8.92/6.51 tff(21273,plain,
% 8.92/6.51 ((~(v123(constB141) <=> (~((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))))) | v123(constB141) | ((~v90(constB141, bitIndex2)) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21274,plain,
% 8.92/6.51 (v123(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21273, 21272, 3160])).
% 8.92/6.51 tff(21275,plain,
% 8.92/6.51 ((v116(constB141) | v123(constB141)) | (~v123(constB141))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21276,plain,
% 8.92/6.51 (v116(constB141) | v123(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21275, 21274])).
% 8.92/6.51 tff(21277,plain,
% 8.92/6.51 ((~(v115(constB141) <=> (v116(constB141) | v123(constB141)))) | v115(constB141) | (~(v116(constB141) | v123(constB141)))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21278,plain,
% 8.92/6.51 (v115(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21277, 21276, 3153])).
% 8.92/6.51 tff(21279,plain,
% 8.92/6.51 ((v115(constB141) | v124(constB141)) | (~v115(constB141))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21280,plain,
% 8.92/6.51 (v115(constB141) | v124(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21279, 21278])).
% 8.92/6.51 tff(21281,plain,
% 8.92/6.51 ((~(v114(constB141) <=> (v115(constB141) | v124(constB141)))) | v114(constB141) | (~(v115(constB141) | v124(constB141)))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21282,plain,
% 8.92/6.51 (v114(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21281, 21280, 3151])).
% 8.92/6.51 tff(21283,plain,
% 8.92/6.51 ((v114(constB141) | v125(constB141)) | (~v114(constB141))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21284,plain,
% 8.92/6.51 (v114(constB141) | v125(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21283, 21282])).
% 8.92/6.51 tff(21285,plain,
% 8.92/6.51 ((~(v113(constB141) <=> (v114(constB141) | v125(constB141)))) | v113(constB141) | (~(v114(constB141) | v125(constB141)))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21286,plain,
% 8.92/6.51 (v113(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21285, 21284, 3149])).
% 8.92/6.51 tff(21287,plain,
% 8.92/6.51 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB141)) <=> v111(constB141))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21288,plain,
% 8.92/6.51 ((~v126(constB141)) <=> v111(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21287, 9720])).
% 8.92/6.51 tff(21289,plain,
% 8.92/6.51 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB141) <=> v26(constB141))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21290,plain,
% 8.92/6.51 (v111(constB141) <=> v26(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21289, 9732])).
% 8.92/6.51 tff(21291,plain,
% 8.92/6.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21292,plain,
% 8.92/6.51 (~v26(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21291, 9744])).
% 8.92/6.51 tff(21293,plain,
% 8.92/6.51 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141)) | v26(constB141)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21294,plain,
% 8.92/6.51 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21293, 21292])).
% 8.92/6.51 tff(21295,plain,
% 8.92/6.51 (~v111(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21294, 21290])).
% 8.92/6.51 tff(21296,plain,
% 8.92/6.51 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141) | v111(constB141)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21297,plain,
% 8.92/6.51 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21296, 21295])).
% 8.92/6.51 tff(21298,plain,
% 8.92/6.51 (v126(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21297, 21288])).
% 8.92/6.51 tff(21299,plain,
% 8.92/6.51 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141)) | (~v126(constB141))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21300,plain,
% 8.92/6.51 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21299, 21298])).
% 8.92/6.51 tff(21301,plain,
% 8.92/6.51 (~((~v113(constB141)) | (~v126(constB141)))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21300, 21286])).
% 8.92/6.51 tff(21302,plain,
% 8.92/6.51 ((~(v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))) | v112(constB141) | ((~v113(constB141)) | (~v126(constB141)))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21303,plain,
% 8.92/6.51 (v112(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21302, 21301, 3147])).
% 8.92/6.51 tff(21304,plain,
% 8.92/6.51 ((v111(constB141) | v112(constB141)) | (~v112(constB141))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21305,plain,
% 8.92/6.51 (v111(constB141) | v112(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21304, 21303])).
% 8.92/6.51 tff(21306,plain,
% 8.92/6.51 ((~(v108(constB141) <=> (v111(constB141) | v112(constB141)))) | v108(constB141) | (~(v111(constB141) | v112(constB141)))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21307,plain,
% 8.92/6.51 (v108(constB141)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21306, 21305, 3145])).
% 8.92/6.51 tff(21308,plain,
% 8.92/6.51 ((~(v110(constB142) <=> v108(constB141))) | v110(constB142) | (~v108(constB141))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21309,plain,
% 8.92/6.51 (v110(constB142)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21308, 21307, 3143])).
% 8.92/6.51 tff(21310,plain,
% 8.92/6.51 ((~((~v101(constB142)) | (~v110(constB142)))) | (~v101(constB142)) | (~v110(constB142))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21311,plain,
% 8.92/6.51 (~((~v101(constB142)) | (~v110(constB142)))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21310, 21309, 3139])).
% 8.92/6.51 tff(21312,plain,
% 8.92/6.51 ((~(v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))) | v100(constB142) | ((~v101(constB142)) | (~v110(constB142)))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21313,plain,
% 8.92/6.51 (v100(constB142)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21312, 21311, 3108])).
% 8.92/6.51 tff(21314,plain,
% 8.92/6.51 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B))))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21315,plain,
% 8.92/6.51 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B))))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21316,plain,
% 8.92/6.51 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21315, 21314])).
% 8.92/6.51 tff(21317,plain,
% 8.92/6.51 ((~v100(constB142)) | ![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21316, 9780])).
% 8.92/6.51 tff(21318,plain,
% 8.92/6.51 (![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21317, 21313])).
% 8.92/6.51 tff(21319,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21320,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21321,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex2)) | (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21320, 21319])).
% 8.92/6.51 tff(21322,plain,
% 8.92/6.51 (v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21321, 648, 21318])).
% 8.92/6.51 tff(21323,plain,
% 8.92/6.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B))))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21324,plain,
% 8.92/6.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B))))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21325,plain,
% 8.92/6.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21324, 21323])).
% 8.92/6.51 tff(21326,plain,
% 8.92/6.51 (![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21325, 3104, 9802])).
% 8.92/6.51 tff(21327,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21328,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21329,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex2)) | (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21328, 21327])).
% 8.92/6.51 tff(21330,plain,
% 8.92/6.51 (v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21329, 648, 21326])).
% 8.92/6.51 tff(21331,plain,
% 8.92/6.51 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB141) | ![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB141) | ![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B))))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21332,plain,
% 8.92/6.51 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB141) | ![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B))))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21333,plain,
% 8.92/6.51 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB141) | ![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21332, 21331])).
% 8.92/6.51 tff(21334,plain,
% 8.92/6.51 (![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21333, 9823, 21295])).
% 8.92/6.51 tff(21335,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21336,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21337,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex2)) | (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21336, 21335])).
% 8.92/6.51 tff(21338,plain,
% 8.92/6.51 (v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21337, 648, 21334])).
% 8.92/6.51 tff(21339,plain,
% 8.92/6.51 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B))))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21340,plain,
% 8.92/6.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B))))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21341,plain,
% 8.92/6.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21340, 21339])).
% 8.92/6.51 tff(21342,plain,
% 8.92/6.51 ((~v123(constB141)) | ![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21341, 10555])).
% 8.92/6.51 tff(21343,plain,
% 8.92/6.51 (![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21342, 21274])).
% 8.92/6.51 tff(21344,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b101(bitIndex2)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21345,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b101(bitIndex2)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21346,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB141, bitIndex2) <=> b101(bitIndex2))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21345, 21344])).
% 8.92/6.51 tff(21347,plain,
% 8.92/6.51 (v130(constB141, bitIndex2) <=> b101(bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21346, 648, 21343])).
% 8.92/6.51 tff(21348,plain,
% 8.92/6.51 ((~(v130(constB141, bitIndex2) <=> b101(bitIndex2))) | v130(constB141, bitIndex2) | (~b101(bitIndex2))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21349,plain,
% 8.92/6.51 ((~(v130(constB141, bitIndex2) <=> b101(bitIndex2))) | v130(constB141, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21348, 10567])).
% 8.92/6.51 tff(21350,plain,
% 8.92/6.51 (v130(constB141, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21349, 21347])).
% 8.92/6.51 tff(21351,plain,
% 8.92/6.51 ((~(v127(constB141, bitIndex2) <=> v130(constB141, bitIndex2))) | v127(constB141, bitIndex2) | (~v130(constB141, bitIndex2))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21352,plain,
% 8.92/6.51 (v127(constB141, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21351, 21350, 21338])).
% 8.92/6.51 tff(21353,plain,
% 8.92/6.51 ((~(v129(constB142, bitIndex2) <=> v127(constB141, bitIndex2))) | v129(constB142, bitIndex2) | (~v127(constB141, bitIndex2))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21354,plain,
% 8.92/6.51 (v129(constB142, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21353, 21352, 21330])).
% 8.92/6.51 tff(21355,plain,
% 8.92/6.51 ((~(v90(constB142, bitIndex2) <=> v129(constB142, bitIndex2))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21356,plain,
% 8.92/6.51 (v90(constB142, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21355, 21354, 21322])).
% 8.92/6.51 tff(21357,plain,
% 8.92/6.51 ((~(v90(constB143, bitIndex2) <=> v90(constB142, bitIndex2))) | v90(constB143, bitIndex2) | (~v90(constB142, bitIndex2))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21358,plain,
% 8.92/6.51 (v90(constB143, bitIndex2)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21357, 21356, 3101])).
% 8.92/6.51 tff(21359,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21360,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21361,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21360, 21359])).
% 8.92/6.51 tff(21362,plain,
% 8.92/6.51 (v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21361, 9653, 3097])).
% 8.92/6.51 tff(21363,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21364,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21365,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex0)) | (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21364, 21363])).
% 8.92/6.51 tff(21366,plain,
% 8.92/6.51 (v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21365, 9653, 21318])).
% 8.92/6.51 tff(21367,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21368,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21369,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex0)) | (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21368, 21367])).
% 8.92/6.51 tff(21370,plain,
% 8.92/6.51 (v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21369, 9653, 21326])).
% 8.92/6.51 tff(21371,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21372,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21373,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex0)) | (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21372, 21371])).
% 8.92/6.51 tff(21374,plain,
% 8.92/6.51 (v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21373, 9653, 21334])).
% 8.92/6.51 tff(21375,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b101(bitIndex0)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21376,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b101(bitIndex0)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21377,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB141, bitIndex0) <=> b101(bitIndex0))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21376, 21375])).
% 8.92/6.51 tff(21378,plain,
% 8.92/6.51 (v130(constB141, bitIndex0) <=> b101(bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21377, 9653, 21343])).
% 8.92/6.51 tff(21379,plain,
% 8.92/6.51 ((~(v130(constB141, bitIndex0) <=> b101(bitIndex0))) | v130(constB141, bitIndex0) | (~b101(bitIndex0))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21380,plain,
% 8.92/6.51 ((~(v130(constB141, bitIndex0) <=> b101(bitIndex0))) | v130(constB141, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21379, 10601])).
% 8.92/6.51 tff(21381,plain,
% 8.92/6.51 (v130(constB141, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21380, 21378])).
% 8.92/6.51 tff(21382,plain,
% 8.92/6.51 ((~(v127(constB141, bitIndex0) <=> v130(constB141, bitIndex0))) | v127(constB141, bitIndex0) | (~v130(constB141, bitIndex0))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21383,plain,
% 8.92/6.51 (v127(constB141, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21382, 21381, 21374])).
% 8.92/6.51 tff(21384,plain,
% 8.92/6.51 ((~(v129(constB142, bitIndex0) <=> v127(constB141, bitIndex0))) | v129(constB142, bitIndex0) | (~v127(constB141, bitIndex0))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21385,plain,
% 8.92/6.51 (v129(constB142, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21384, 21383, 21370])).
% 8.92/6.51 tff(21386,plain,
% 8.92/6.51 ((~(v90(constB142, bitIndex0) <=> v129(constB142, bitIndex0))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21387,plain,
% 8.92/6.51 (v90(constB142, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21386, 21385, 21366])).
% 8.92/6.51 tff(21388,plain,
% 8.92/6.51 ((~(v90(constB143, bitIndex0) <=> v90(constB142, bitIndex0))) | v90(constB143, bitIndex0) | (~v90(constB142, bitIndex0))),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21389,plain,
% 8.92/6.51 (v90(constB143, bitIndex0)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21388, 21387, 21362])).
% 8.92/6.51 tff(21390,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21391,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21392,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB143, B) <=> v90(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21391, 21390])).
% 8.92/6.51 tff(21393,plain,
% 8.92/6.51 (v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21392, 375, 3097])).
% 8.92/6.51 tff(21394,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21395,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | ((~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21396,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v90(constB142, B) <=> v129(constB142, B)))) | (~less_3(bitIndex1)) | (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21395, 21394])).
% 8.92/6.51 tff(21397,plain,
% 8.92/6.51 (v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21396, 375, 21318])).
% 8.92/6.51 tff(21398,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21399,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | ((~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21400,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v129(constB142, B) <=> v127(constB141, B)))) | (~less_3(bitIndex1)) | (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21399, 21398])).
% 8.92/6.51 tff(21401,plain,
% 8.92/6.51 (v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21400, 375, 21326])).
% 8.92/6.51 tff(21402,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21403,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | ((~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21404,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v127(constB141, B) <=> v130(constB141, B)))) | (~less_3(bitIndex1)) | (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21403, 21402])).
% 8.92/6.51 tff(21405,plain,
% 8.92/6.51 (v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21404, 375, 21334])).
% 8.92/6.51 tff(21406,plain,
% 8.92/6.51 (((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b101(bitIndex1)))),
% 8.92/6.51 inference(rewrite,[status(thm)],[])).
% 8.92/6.51 tff(21407,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b101(bitIndex1)))),
% 8.92/6.51 inference(quant_inst,[status(thm)],[])).
% 8.92/6.51 tff(21408,plain,
% 8.92/6.51 ((~![B: $i] : ((~less_3(B)) | (v130(constB141, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB141, bitIndex1) <=> b101(bitIndex1))),
% 8.92/6.51 inference(modus_ponens,[status(thm)],[21407, 21406])).
% 8.92/6.51 tff(21409,plain,
% 8.92/6.51 (v130(constB141, bitIndex1) <=> b101(bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21408, 375, 21343])).
% 8.92/6.51 tff(21410,plain,
% 8.92/6.51 ((~(v130(constB141, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB141, bitIndex1)) | b101(bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21411,plain,
% 8.92/6.51 ((~(v130(constB141, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB141, bitIndex1))),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21410, 10635])).
% 8.92/6.51 tff(21412,plain,
% 8.92/6.51 (~v130(constB141, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21411, 21409])).
% 8.92/6.51 tff(21413,plain,
% 8.92/6.51 ((~(v127(constB141, bitIndex1) <=> v130(constB141, bitIndex1))) | (~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21414,plain,
% 8.92/6.51 (~v127(constB141, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21413, 21412, 21405])).
% 8.92/6.51 tff(21415,plain,
% 8.92/6.51 ((~(v129(constB142, bitIndex1) <=> v127(constB141, bitIndex1))) | (~v129(constB142, bitIndex1)) | v127(constB141, bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21416,plain,
% 8.92/6.51 (~v129(constB142, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21415, 21414, 21401])).
% 8.92/6.51 tff(21417,plain,
% 8.92/6.51 ((~(v90(constB142, bitIndex1) <=> v129(constB142, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1)),
% 8.92/6.51 inference(tautology,[status(thm)],[])).
% 8.92/6.51 tff(21418,plain,
% 8.92/6.51 (~v90(constB142, bitIndex1)),
% 8.92/6.51 inference(unit_resolution,[status(thm)],[21417, 21416, 21397])).
% 8.92/6.52 tff(21419,plain,
% 8.92/6.52 ((~(v90(constB143, bitIndex1) <=> v90(constB142, bitIndex1))) | (~v90(constB143, bitIndex1)) | v90(constB142, bitIndex1)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21420,plain,
% 8.92/6.52 (~v90(constB143, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21419, 21418, 21393])).
% 8.92/6.52 tff(21421,plain,
% 8.92/6.52 ((~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))) | (~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21422,plain,
% 8.92/6.52 (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21421, 21420, 21389, 21358])).
% 8.92/6.52 tff(21423,plain,
% 8.92/6.52 ((~(v124(constB143) <=> (~((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))))) | v124(constB143) | ((~v90(constB143, bitIndex2)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21424,plain,
% 8.92/6.52 (v124(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21423, 21422, 3069])).
% 8.92/6.52 tff(21425,plain,
% 8.92/6.52 ((v115(constB143) | v124(constB143)) | (~v124(constB143))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21426,plain,
% 8.92/6.52 (v115(constB143) | v124(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21425, 21424])).
% 8.92/6.52 tff(21427,plain,
% 8.92/6.52 ((~(v114(constB143) <=> (v115(constB143) | v124(constB143)))) | v114(constB143) | (~(v115(constB143) | v124(constB143)))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21428,plain,
% 8.92/6.52 (v114(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21427, 21426, 3062])).
% 8.92/6.52 tff(21429,plain,
% 8.92/6.52 ((v114(constB143) | v125(constB143)) | (~v114(constB143))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21430,plain,
% 8.92/6.52 (v114(constB143) | v125(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21429, 21428])).
% 8.92/6.52 tff(21431,plain,
% 8.92/6.52 ((~(v113(constB143) <=> (v114(constB143) | v125(constB143)))) | v113(constB143) | (~(v114(constB143) | v125(constB143)))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21432,plain,
% 8.92/6.52 (v113(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21431, 21430, 3060])).
% 8.92/6.52 tff(21433,plain,
% 8.92/6.52 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB143)) <=> v111(constB143))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21434,plain,
% 8.92/6.52 ((~v126(constB143)) <=> v111(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21433, 9720])).
% 8.92/6.52 tff(21435,plain,
% 8.92/6.52 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB143) <=> v26(constB143))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21436,plain,
% 8.92/6.52 (v111(constB143) <=> v26(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21435, 9732])).
% 8.92/6.52 tff(21437,plain,
% 8.92/6.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21438,plain,
% 8.92/6.52 (~v26(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21437, 9744])).
% 8.92/6.52 tff(21439,plain,
% 8.92/6.52 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143)) | v26(constB143)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21440,plain,
% 8.92/6.52 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21439, 21438])).
% 8.92/6.52 tff(21441,plain,
% 8.92/6.52 (~v111(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21440, 21436])).
% 8.92/6.52 tff(21442,plain,
% 8.92/6.52 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143) | v111(constB143)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21443,plain,
% 8.92/6.52 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21442, 21441])).
% 8.92/6.52 tff(21444,plain,
% 8.92/6.52 (v126(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21443, 21434])).
% 8.92/6.52 tff(21445,plain,
% 8.92/6.52 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143)) | (~v126(constB143))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21446,plain,
% 8.92/6.52 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21445, 21444])).
% 8.92/6.52 tff(21447,plain,
% 8.92/6.52 (~((~v113(constB143)) | (~v126(constB143)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21446, 21432])).
% 8.92/6.52 tff(21448,plain,
% 8.92/6.52 ((~(v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))) | v112(constB143) | ((~v113(constB143)) | (~v126(constB143)))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21449,plain,
% 8.92/6.52 (v112(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21448, 21447, 3058])).
% 8.92/6.52 tff(21450,plain,
% 8.92/6.52 ((v111(constB143) | v112(constB143)) | (~v112(constB143))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21451,plain,
% 8.92/6.52 (v111(constB143) | v112(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21450, 21449])).
% 8.92/6.52 tff(21452,plain,
% 8.92/6.52 ((~(v108(constB143) <=> (v111(constB143) | v112(constB143)))) | v108(constB143) | (~(v111(constB143) | v112(constB143)))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21453,plain,
% 8.92/6.52 (v108(constB143)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21452, 21451, 3056])).
% 8.92/6.52 tff(21454,plain,
% 8.92/6.52 ((~(v110(constB144) <=> v108(constB143))) | v110(constB144) | (~v108(constB143))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21455,plain,
% 8.92/6.52 (v110(constB144)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21454, 21453, 3054])).
% 8.92/6.52 tff(21456,plain,
% 8.92/6.52 ((~((~v101(constB144)) | (~v110(constB144)))) | (~v101(constB144)) | (~v110(constB144))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21457,plain,
% 8.92/6.52 (~((~v101(constB144)) | (~v110(constB144)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21456, 21455, 3050])).
% 8.92/6.52 tff(21458,plain,
% 8.92/6.52 ((~(v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))) | v100(constB144) | ((~v101(constB144)) | (~v110(constB144)))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21459,plain,
% 8.92/6.52 (v100(constB144)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21458, 21457, 3019])).
% 8.92/6.52 tff(21460,plain,
% 8.92/6.52 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B))))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21461,plain,
% 8.92/6.52 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B))))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21462,plain,
% 8.92/6.52 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 8.92/6.52 tff(21463,plain,
% 8.92/6.52 ((~v100(constB144)) | ![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21462, 9780])).
% 8.92/6.52 tff(21464,plain,
% 8.92/6.52 (![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21463, 21459])).
% 8.92/6.52 tff(21465,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21466,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21467,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex2)) | (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21466, 21465])).
% 8.92/6.52 tff(21468,plain,
% 8.92/6.52 (v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21467, 648, 21464])).
% 8.92/6.52 tff(21469,plain,
% 8.92/6.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B))))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21470,plain,
% 8.92/6.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B))))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21471,plain,
% 8.92/6.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21470, 21469])).
% 8.92/6.52 tff(21472,plain,
% 8.92/6.52 (![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21471, 3015, 9802])).
% 8.92/6.52 tff(21473,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21474,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21475,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex2)) | (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 8.92/6.52 tff(21476,plain,
% 8.92/6.52 (v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21475, 648, 21472])).
% 8.92/6.52 tff(21477,plain,
% 8.92/6.52 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB143) | ![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB143) | ![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B))))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21478,plain,
% 8.92/6.52 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB143) | ![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B))))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21479,plain,
% 8.92/6.52 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB143) | ![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21478, 21477])).
% 8.92/6.52 tff(21480,plain,
% 8.92/6.52 (![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21479, 9823, 21441])).
% 8.92/6.52 tff(21481,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21482,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21483,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex2)) | (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21482, 21481])).
% 8.92/6.52 tff(21484,plain,
% 8.92/6.52 (v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21483, 648, 21480])).
% 8.92/6.52 tff(21485,plain,
% 8.92/6.52 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B))))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21486,plain,
% 8.92/6.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B))))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21487,plain,
% 8.92/6.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21486, 21485])).
% 8.92/6.52 tff(21488,plain,
% 8.92/6.52 ((~v124(constB143)) | ![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21487, 10723])).
% 8.92/6.52 tff(21489,plain,
% 8.92/6.52 (![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21488, 21424])).
% 8.92/6.52 tff(21490,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21491,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21492,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB143, bitIndex2) <=> b110(bitIndex2))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21491, 21490])).
% 8.92/6.52 tff(21493,plain,
% 8.92/6.52 (v130(constB143, bitIndex2) <=> b110(bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21492, 648, 21489])).
% 8.92/6.52 tff(21494,plain,
% 8.92/6.52 ((~(v130(constB143, bitIndex2) <=> b110(bitIndex2))) | v130(constB143, bitIndex2) | (~b110(bitIndex2))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21495,plain,
% 8.92/6.52 ((~(v130(constB143, bitIndex2) <=> b110(bitIndex2))) | v130(constB143, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21494, 10735])).
% 8.92/6.52 tff(21496,plain,
% 8.92/6.52 (v130(constB143, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21495, 21493])).
% 8.92/6.52 tff(21497,plain,
% 8.92/6.52 ((~(v127(constB143, bitIndex2) <=> v130(constB143, bitIndex2))) | v127(constB143, bitIndex2) | (~v130(constB143, bitIndex2))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21498,plain,
% 8.92/6.52 (v127(constB143, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21497, 21496, 21484])).
% 8.92/6.52 tff(21499,plain,
% 8.92/6.52 ((~(v129(constB144, bitIndex2) <=> v127(constB143, bitIndex2))) | v129(constB144, bitIndex2) | (~v127(constB143, bitIndex2))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21500,plain,
% 8.92/6.52 (v129(constB144, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21499, 21498, 21476])).
% 8.92/6.52 tff(21501,plain,
% 8.92/6.52 ((~(v90(constB144, bitIndex2) <=> v129(constB144, bitIndex2))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21502,plain,
% 8.92/6.52 (v90(constB144, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21501, 21500, 21468])).
% 8.92/6.52 tff(21503,plain,
% 8.92/6.52 ((~(v90(constB145, bitIndex2) <=> v90(constB144, bitIndex2))) | v90(constB145, bitIndex2) | (~v90(constB144, bitIndex2))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21504,plain,
% 8.92/6.52 (v90(constB145, bitIndex2)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21503, 21502, 3012])).
% 8.92/6.52 tff(21505,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21506,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21507,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21506, 21505])).
% 8.92/6.52 tff(21508,plain,
% 8.92/6.52 (v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21507, 9653, 3008])).
% 8.92/6.52 tff(21509,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21510,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21511,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex0)) | (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21510, 21509])).
% 8.92/6.52 tff(21512,plain,
% 8.92/6.52 (v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21511, 9653, 21464])).
% 8.92/6.52 tff(21513,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21514,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21515,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex0)) | (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21514, 21513])).
% 8.92/6.52 tff(21516,plain,
% 8.92/6.52 (v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21515, 9653, 21472])).
% 8.92/6.52 tff(21517,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21518,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21519,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex0)) | (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21518, 21517])).
% 8.92/6.52 tff(21520,plain,
% 8.92/6.52 (v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21519, 9653, 21480])).
% 8.92/6.52 tff(21521,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21522,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21523,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB143, bitIndex0) <=> b110(bitIndex0))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21522, 21521])).
% 8.92/6.52 tff(21524,plain,
% 8.92/6.52 (v130(constB143, bitIndex0) <=> b110(bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21523, 9653, 21489])).
% 8.92/6.52 tff(21525,plain,
% 8.92/6.52 ((~(v130(constB143, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB143, bitIndex0)) | b110(bitIndex0)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21526,plain,
% 8.92/6.52 ((~(v130(constB143, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB143, bitIndex0))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21525, 10769])).
% 8.92/6.52 tff(21527,plain,
% 8.92/6.52 (~v130(constB143, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21526, 21524])).
% 8.92/6.52 tff(21528,plain,
% 8.92/6.52 ((~(v127(constB143, bitIndex0) <=> v130(constB143, bitIndex0))) | (~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21529,plain,
% 8.92/6.52 (~v127(constB143, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21528, 21527, 21520])).
% 8.92/6.52 tff(21530,plain,
% 8.92/6.52 ((~(v129(constB144, bitIndex0) <=> v127(constB143, bitIndex0))) | (~v129(constB144, bitIndex0)) | v127(constB143, bitIndex0)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21531,plain,
% 8.92/6.52 (~v129(constB144, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21530, 21529, 21516])).
% 8.92/6.52 tff(21532,plain,
% 8.92/6.52 ((~(v90(constB144, bitIndex0) <=> v129(constB144, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21533,plain,
% 8.92/6.52 (~v90(constB144, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21532, 21531, 21512])).
% 8.92/6.52 tff(21534,plain,
% 8.92/6.52 ((~(v90(constB145, bitIndex0) <=> v90(constB144, bitIndex0))) | (~v90(constB145, bitIndex0)) | v90(constB144, bitIndex0)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21535,plain,
% 8.92/6.52 (~v90(constB145, bitIndex0)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21534, 21533, 21508])).
% 8.92/6.52 tff(21536,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21537,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21538,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB145, B) <=> v90(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 8.92/6.52 tff(21539,plain,
% 8.92/6.52 (v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21538, 375, 3008])).
% 8.92/6.52 tff(21540,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21541,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | ((~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21542,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v90(constB144, B) <=> v129(constB144, B)))) | (~less_3(bitIndex1)) | (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21541, 21540])).
% 8.92/6.52 tff(21543,plain,
% 8.92/6.52 (v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21542, 375, 21464])).
% 8.92/6.52 tff(21544,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21545,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | ((~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21546,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v129(constB144, B) <=> v127(constB143, B)))) | (~less_3(bitIndex1)) | (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21545, 21544])).
% 8.92/6.52 tff(21547,plain,
% 8.92/6.52 (v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21546, 375, 21472])).
% 8.92/6.52 tff(21548,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21549,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | ((~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21550,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v127(constB143, B) <=> v130(constB143, B)))) | (~less_3(bitIndex1)) | (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 8.92/6.52 tff(21551,plain,
% 8.92/6.52 (v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21550, 375, 21480])).
% 8.92/6.52 tff(21552,plain,
% 8.92/6.52 (((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1)))),
% 8.92/6.52 inference(rewrite,[status(thm)],[])).
% 8.92/6.52 tff(21553,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1)))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21554,plain,
% 8.92/6.52 ((~![B: $i] : ((~less_3(B)) | (v130(constB143, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB143, bitIndex1) <=> b110(bitIndex1))),
% 8.92/6.52 inference(modus_ponens,[status(thm)],[21553, 21552])).
% 8.92/6.52 tff(21555,plain,
% 8.92/6.52 (v130(constB143, bitIndex1) <=> b110(bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21554, 375, 21489])).
% 8.92/6.52 tff(21556,plain,
% 8.92/6.52 ((~(v130(constB143, bitIndex1) <=> b110(bitIndex1))) | v130(constB143, bitIndex1) | (~b110(bitIndex1))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21557,plain,
% 8.92/6.52 ((~(v130(constB143, bitIndex1) <=> b110(bitIndex1))) | v130(constB143, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21556, 10803])).
% 8.92/6.52 tff(21558,plain,
% 8.92/6.52 (v130(constB143, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21557, 21555])).
% 8.92/6.52 tff(21559,plain,
% 8.92/6.52 ((~(v127(constB143, bitIndex1) <=> v130(constB143, bitIndex1))) | v127(constB143, bitIndex1) | (~v130(constB143, bitIndex1))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21560,plain,
% 8.92/6.52 (v127(constB143, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21559, 21558, 21551])).
% 8.92/6.52 tff(21561,plain,
% 8.92/6.52 ((~(v129(constB144, bitIndex1) <=> v127(constB143, bitIndex1))) | v129(constB144, bitIndex1) | (~v127(constB143, bitIndex1))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21562,plain,
% 8.92/6.52 (v129(constB144, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21561, 21560, 21547])).
% 8.92/6.52 tff(21563,plain,
% 8.92/6.52 ((~(v90(constB144, bitIndex1) <=> v129(constB144, bitIndex1))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21564,plain,
% 8.92/6.52 (v90(constB144, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21563, 21562, 21543])).
% 8.92/6.52 tff(21565,plain,
% 8.92/6.52 ((~(v90(constB145, bitIndex1) <=> v90(constB144, bitIndex1))) | v90(constB145, bitIndex1) | (~v90(constB144, bitIndex1))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21566,plain,
% 8.92/6.52 (v90(constB145, bitIndex1)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21565, 21564, 21539])).
% 8.92/6.52 tff(21567,plain,
% 8.92/6.52 ((~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21568,plain,
% 8.92/6.52 (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21567, 21566, 21535, 21504])).
% 8.92/6.52 tff(21569,plain,
% 8.92/6.52 ((~(v125(constB145) <=> (~((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) | v125(constB145) | ((~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21570,plain,
% 8.92/6.52 (v125(constB145)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21569, 21568, 2980])).
% 8.92/6.52 tff(21571,plain,
% 8.92/6.52 ((v114(constB145) | v125(constB145)) | (~v125(constB145))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21572,plain,
% 8.92/6.52 (v114(constB145) | v125(constB145)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21571, 21570])).
% 8.92/6.52 tff(21573,plain,
% 8.92/6.52 ((~(v113(constB145) <=> (v114(constB145) | v125(constB145)))) | v113(constB145) | (~(v114(constB145) | v125(constB145)))),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21574,plain,
% 8.92/6.52 (v113(constB145)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21573, 21572, 2973])).
% 8.92/6.52 tff(21575,plain,
% 8.92/6.52 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB145)) <=> v111(constB145))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21576,plain,
% 8.92/6.52 ((~v126(constB145)) <=> v111(constB145)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21575, 9720])).
% 8.92/6.52 tff(21577,plain,
% 8.92/6.52 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB145) <=> v26(constB145))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21578,plain,
% 8.92/6.52 (v111(constB145) <=> v26(constB145)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21577, 9732])).
% 8.92/6.52 tff(21579,plain,
% 8.92/6.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 8.92/6.52 inference(quant_inst,[status(thm)],[])).
% 8.92/6.52 tff(21580,plain,
% 8.92/6.52 (~v26(constB145)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21579, 9744])).
% 8.92/6.52 tff(21581,plain,
% 8.92/6.52 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145)) | v26(constB145)),
% 8.92/6.52 inference(tautology,[status(thm)],[])).
% 8.92/6.52 tff(21582,plain,
% 8.92/6.52 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145))),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21581, 21580])).
% 8.92/6.52 tff(21583,plain,
% 8.92/6.52 (~v111(constB145)),
% 8.92/6.52 inference(unit_resolution,[status(thm)],[21582, 21578])).
% 8.92/6.53 tff(21584,plain,
% 8.92/6.53 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145) | v111(constB145)),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21585,plain,
% 8.92/6.53 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21584, 21583])).
% 8.92/6.53 tff(21586,plain,
% 8.92/6.53 (v126(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21585, 21576])).
% 8.92/6.53 tff(21587,plain,
% 8.92/6.53 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145)) | (~v126(constB145))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21588,plain,
% 8.92/6.53 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21587, 21586])).
% 8.92/6.53 tff(21589,plain,
% 8.92/6.53 (~((~v113(constB145)) | (~v126(constB145)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21588, 21574])).
% 8.92/6.53 tff(21590,plain,
% 8.92/6.53 ((~(v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))) | v112(constB145) | ((~v113(constB145)) | (~v126(constB145)))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21591,plain,
% 8.92/6.53 (v112(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21590, 21589, 2971])).
% 8.92/6.53 tff(21592,plain,
% 8.92/6.53 ((v111(constB145) | v112(constB145)) | (~v112(constB145))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21593,plain,
% 8.92/6.53 (v111(constB145) | v112(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21592, 21591])).
% 8.92/6.53 tff(21594,plain,
% 8.92/6.53 ((~(v108(constB145) <=> (v111(constB145) | v112(constB145)))) | v108(constB145) | (~(v111(constB145) | v112(constB145)))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21595,plain,
% 8.92/6.53 (v108(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21594, 21593, 2969])).
% 8.92/6.53 tff(21596,plain,
% 8.92/6.53 ((~(v110(constB146) <=> v108(constB145))) | v110(constB146) | (~v108(constB145))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21597,plain,
% 8.92/6.53 (v110(constB146)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21596, 21595, 2967])).
% 8.92/6.53 tff(21598,plain,
% 8.92/6.53 ((~((~v101(constB146)) | (~v110(constB146)))) | (~v101(constB146)) | (~v110(constB146))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21599,plain,
% 8.92/6.53 (~((~v101(constB146)) | (~v110(constB146)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21598, 21597, 2963])).
% 8.92/6.53 tff(21600,plain,
% 8.92/6.53 ((~(v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))) | v100(constB146) | ((~v101(constB146)) | (~v110(constB146)))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21601,plain,
% 8.92/6.53 (v100(constB146)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21600, 21599, 2932])).
% 8.92/6.53 tff(21602,plain,
% 8.92/6.53 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21603,plain,
% 8.92/6.53 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21604,plain,
% 8.92/6.53 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21603, 21602])).
% 8.92/6.53 tff(21605,plain,
% 8.92/6.53 ((~v100(constB146)) | ![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21604, 9780])).
% 8.92/6.53 tff(21606,plain,
% 8.92/6.53 (![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21605, 21601])).
% 8.92/6.53 tff(21607,plain,
% 8.92/6.53 (((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21608,plain,
% 8.92/6.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21609,plain,
% 8.92/6.53 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex2)) | (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21608, 21607])).
% 8.92/6.53 tff(21610,plain,
% 8.92/6.53 (v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21609, 648, 21606])).
% 8.92/6.53 tff(21611,plain,
% 8.92/6.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21612,plain,
% 8.92/6.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21613,plain,
% 8.92/6.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21612, 21611])).
% 8.92/6.53 tff(21614,plain,
% 8.92/6.53 (![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21613, 2928, 9802])).
% 8.92/6.53 tff(21615,plain,
% 8.92/6.53 (((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21616,plain,
% 8.92/6.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21617,plain,
% 8.92/6.53 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex2)) | (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21616, 21615])).
% 8.92/6.53 tff(21618,plain,
% 8.92/6.53 (v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21617, 648, 21614])).
% 8.92/6.53 tff(21619,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB145) | ![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB145) | ![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21620,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB145) | ![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21621,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB145) | ![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21620, 21619])).
% 8.92/6.53 tff(21622,plain,
% 8.92/6.53 (![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21621, 9823, 21583])).
% 8.92/6.53 tff(21623,plain,
% 8.92/6.53 (((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21624,plain,
% 8.92/6.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21625,plain,
% 8.92/6.53 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex2)) | (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 8.92/6.53 tff(21626,plain,
% 8.92/6.53 (v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21625, 648, 21622])).
% 8.92/6.53 tff(21627,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21628,plain,
% 8.92/6.53 (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21627, 9620])).
% 8.92/6.53 tff(21629,plain,
% 8.92/6.53 ((v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex2))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21630,plain,
% 8.92/6.53 (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21629, 21504])).
% 8.92/6.53 tff(21631,plain,
% 8.92/6.53 ((~(v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))) | (~v119(constB145)) | (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21632,plain,
% 8.92/6.53 (~v119(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21631, 21630, 21628])).
% 8.92/6.53 tff(21633,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21634,plain,
% 8.92/6.53 ((v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2))))) <=> (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21635,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(monotonicity,[status(thm)],[21634])).
% 8.92/6.53 tff(21636,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(transitivity,[status(thm)],[21635, 21633])).
% 8.92/6.53 tff(21637,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21638,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21637, 21636])).
% 8.92/6.53 tff(21639,plain,
% 8.92/6.53 (v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21638, 815])).
% 8.92/6.53 tff(21640,plain,
% 8.92/6.53 (((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex1))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21641,plain,
% 8.92/6.53 ((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21640, 21566])).
% 8.92/6.53 tff(21642,plain,
% 8.92/6.53 ((~(v124(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) | (~v124(constB145)) | (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21643,plain,
% 8.92/6.53 (~v124(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21642, 21641, 21639])).
% 8.92/6.53 tff(21644,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21645,plain,
% 8.92/6.53 ((v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2))))) <=> (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21646,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(monotonicity,[status(thm)],[21645])).
% 8.92/6.53 tff(21647,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(transitivity,[status(thm)],[21646, 21644])).
% 8.92/6.53 tff(21648,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21649,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21648, 21647])).
% 8.92/6.53 tff(21650,plain,
% 8.92/6.53 (v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21649, 919])).
% 8.92/6.53 tff(21651,plain,
% 8.92/6.53 (((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21652,plain,
% 8.92/6.53 ((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21651, 21566])).
% 8.92/6.53 tff(21653,plain,
% 8.92/6.53 ((~(v123(constB145) <=> (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0))))) | (~v123(constB145)) | (~((~v90(constB145, bitIndex2)) | v90(constB145, bitIndex1) | v90(constB145, bitIndex0)))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21654,plain,
% 8.92/6.53 (~v123(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21653, 21652, 21650])).
% 8.92/6.53 tff(21655,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21656,plain,
% 8.92/6.53 ((v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1))))) <=> (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21657,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(monotonicity,[status(thm)],[21656])).
% 8.92/6.53 tff(21658,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(transitivity,[status(thm)],[21657, 21655])).
% 8.92/6.53 tff(21659,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21660,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21659, 21658])).
% 8.92/6.53 tff(21661,plain,
% 8.92/6.53 (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21660, 1025])).
% 8.92/6.53 tff(21662,plain,
% 8.92/6.53 ((v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21663,plain,
% 8.92/6.53 (v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21662, 21504])).
% 8.92/6.53 tff(21664,plain,
% 8.92/6.53 ((~(v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))) | (~v122(constB145)) | (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21665,plain,
% 8.92/6.53 (~v122(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21664, 21663, 21661])).
% 8.92/6.53 tff(21666,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21667,plain,
% 8.92/6.53 ((v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1))))) <=> (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21668,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(monotonicity,[status(thm)],[21667])).
% 8.92/6.53 tff(21669,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(transitivity,[status(thm)],[21668, 21666])).
% 8.92/6.53 tff(21670,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21671,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21670, 21669])).
% 8.92/6.53 tff(21672,plain,
% 8.92/6.53 (v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21671, 1133])).
% 8.92/6.53 tff(21673,plain,
% 8.92/6.53 ((v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21674,plain,
% 8.92/6.53 (v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21673, 21504])).
% 8.92/6.53 tff(21675,plain,
% 8.92/6.53 ((~(v121(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0))))) | (~v121(constB145)) | (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | v90(constB145, bitIndex0)))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21676,plain,
% 8.92/6.53 (~v121(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21675, 21674, 21672])).
% 8.92/6.53 tff(21677,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21678,plain,
% 8.92/6.53 ((v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))))) <=> (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21679,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(monotonicity,[status(thm)],[21678])).
% 8.92/6.53 tff(21680,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))))),
% 8.92/6.53 inference(transitivity,[status(thm)],[21679, 21677])).
% 8.92/6.53 tff(21681,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21682,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21681, 21680])).
% 8.92/6.53 tff(21683,plain,
% 8.92/6.53 (v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21682, 610])).
% 8.92/6.53 tff(21684,plain,
% 8.92/6.53 ((v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21685,plain,
% 8.92/6.53 (v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21684, 21504])).
% 8.92/6.53 tff(21686,plain,
% 8.92/6.53 ((~(v120(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)))))) | (~v120(constB145)) | (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0))))),
% 8.92/6.53 inference(tautology,[status(thm)],[])).
% 8.92/6.53 tff(21687,plain,
% 8.92/6.53 (~v120(constB145)),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21686, 21685, 21683])).
% 8.92/6.53 tff(21688,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21689,plain,
% 8.92/6.53 ((v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) <=> (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))),
% 8.92/6.53 inference(rewrite,[status(thm)],[])).
% 8.92/6.53 tff(21690,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))))),
% 8.92/6.53 inference(monotonicity,[status(thm)],[21689])).
% 8.92/6.53 tff(21691,plain,
% 8.92/6.53 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))),
% 8.92/6.53 inference(transitivity,[status(thm)],[21690, 21688])).
% 8.92/6.53 tff(21692,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B))))),
% 8.92/6.53 inference(quant_inst,[status(thm)],[])).
% 8.92/6.53 tff(21693,plain,
% 8.92/6.53 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))),
% 8.92/6.53 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 8.92/6.53 tff(21694,plain,
% 8.92/6.53 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | ![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21693, 10951])).
% 8.92/6.53 tff(21695,plain,
% 8.92/6.53 (![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))),
% 8.92/6.53 inference(unit_resolution,[status(thm)],[21694, 21687, 21676, 21665, 21654, 21643, 21632])).
% 8.92/6.53 tff(21696,plain,
% 8.92/6.53 (((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21697,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21698,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB145, bitIndex2) <=> b001(bitIndex2))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21697, 21696])).
% 8.92/6.54 tff(21699,plain,
% 8.92/6.54 (v130(constB145, bitIndex2) <=> b001(bitIndex2)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21698, 648, 21695])).
% 8.92/6.54 tff(21700,plain,
% 8.92/6.54 ((~(v130(constB145, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB145, bitIndex2)) | b001(bitIndex2)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21701,plain,
% 8.92/6.54 ((~(v130(constB145, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB145, bitIndex2))),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21700, 9855])).
% 8.92/6.54 tff(21702,plain,
% 8.92/6.54 (~v130(constB145, bitIndex2)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21701, 21699])).
% 8.92/6.54 tff(21703,plain,
% 8.92/6.54 ((~(v127(constB145, bitIndex2) <=> v130(constB145, bitIndex2))) | (~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21704,plain,
% 8.92/6.54 (~v127(constB145, bitIndex2)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21703, 21702, 21626])).
% 8.92/6.54 tff(21705,plain,
% 8.92/6.54 ((~(v129(constB146, bitIndex2) <=> v127(constB145, bitIndex2))) | (~v129(constB146, bitIndex2)) | v127(constB145, bitIndex2)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21706,plain,
% 8.92/6.54 (~v129(constB146, bitIndex2)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21705, 21704, 21618])).
% 8.92/6.54 tff(21707,plain,
% 8.92/6.54 ((~(v90(constB146, bitIndex2) <=> v129(constB146, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21708,plain,
% 8.92/6.54 (~v90(constB146, bitIndex2)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21707, 21706, 21610])).
% 8.92/6.54 tff(21709,plain,
% 8.92/6.54 ((~(v90(constB147, bitIndex2) <=> v90(constB146, bitIndex2))) | (~v90(constB147, bitIndex2)) | v90(constB146, bitIndex2)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21710,plain,
% 8.92/6.54 (~v90(constB147, bitIndex2)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21709, 21708, 2925])).
% 8.92/6.54 tff(21711,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21712,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21713,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21712, 21711])).
% 8.92/6.54 tff(21714,plain,
% 8.92/6.54 (v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21713, 9653, 2921])).
% 8.92/6.54 tff(21715,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21716,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21717,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex0)) | (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21716, 21715])).
% 8.92/6.54 tff(21718,plain,
% 8.92/6.54 (v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21717, 9653, 21606])).
% 8.92/6.54 tff(21719,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21720,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21721,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex0)) | (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21720, 21719])).
% 8.92/6.54 tff(21722,plain,
% 8.92/6.54 (v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21721, 9653, 21614])).
% 8.92/6.54 tff(21723,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21724,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21725,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex0)) | (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21724, 21723])).
% 8.92/6.54 tff(21726,plain,
% 8.92/6.54 (v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21725, 9653, 21622])).
% 8.92/6.54 tff(21727,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21728,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21729,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB145, bitIndex0) <=> b001(bitIndex0))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21728, 21727])).
% 8.92/6.54 tff(21730,plain,
% 8.92/6.54 (v130(constB145, bitIndex0) <=> b001(bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21729, 9653, 21695])).
% 8.92/6.54 tff(21731,plain,
% 8.92/6.54 ((~(v130(constB145, bitIndex0) <=> b001(bitIndex0))) | v130(constB145, bitIndex0) | (~b001(bitIndex0))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21732,plain,
% 8.92/6.54 ((~(v130(constB145, bitIndex0) <=> b001(bitIndex0))) | v130(constB145, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21731, 9889])).
% 8.92/6.54 tff(21733,plain,
% 8.92/6.54 (v130(constB145, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21732, 21730])).
% 8.92/6.54 tff(21734,plain,
% 8.92/6.54 ((~(v127(constB145, bitIndex0) <=> v130(constB145, bitIndex0))) | v127(constB145, bitIndex0) | (~v130(constB145, bitIndex0))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21735,plain,
% 8.92/6.54 (v127(constB145, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21734, 21733, 21726])).
% 8.92/6.54 tff(21736,plain,
% 8.92/6.54 ((~(v129(constB146, bitIndex0) <=> v127(constB145, bitIndex0))) | v129(constB146, bitIndex0) | (~v127(constB145, bitIndex0))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21737,plain,
% 8.92/6.54 (v129(constB146, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21736, 21735, 21722])).
% 8.92/6.54 tff(21738,plain,
% 8.92/6.54 ((~(v90(constB146, bitIndex0) <=> v129(constB146, bitIndex0))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21739,plain,
% 8.92/6.54 (v90(constB146, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21738, 21737, 21718])).
% 8.92/6.54 tff(21740,plain,
% 8.92/6.54 ((~(v90(constB147, bitIndex0) <=> v90(constB146, bitIndex0))) | v90(constB147, bitIndex0) | (~v90(constB146, bitIndex0))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21741,plain,
% 8.92/6.54 (v90(constB147, bitIndex0)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21740, 21739, 21714])).
% 8.92/6.54 tff(21742,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21743,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21744,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB147, B) <=> v90(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21743, 21742])).
% 8.92/6.54 tff(21745,plain,
% 8.92/6.54 (v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21744, 375, 2921])).
% 8.92/6.54 tff(21746,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21747,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | ((~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21748,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB146, B) <=> v129(constB146, B)))) | (~less_3(bitIndex1)) | (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21747, 21746])).
% 8.92/6.54 tff(21749,plain,
% 8.92/6.54 (v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21748, 375, 21606])).
% 8.92/6.54 tff(21750,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21751,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | ((~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21752,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB146, B) <=> v127(constB145, B)))) | (~less_3(bitIndex1)) | (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21751, 21750])).
% 8.92/6.54 tff(21753,plain,
% 8.92/6.54 (v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21752, 375, 21614])).
% 8.92/6.54 tff(21754,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21755,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | ((~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21756,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB145, B) <=> v130(constB145, B)))) | (~less_3(bitIndex1)) | (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21755, 21754])).
% 8.92/6.54 tff(21757,plain,
% 8.92/6.54 (v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21756, 375, 21622])).
% 8.92/6.54 tff(21758,plain,
% 8.92/6.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1)))),
% 8.92/6.54 inference(rewrite,[status(thm)],[])).
% 8.92/6.54 tff(21759,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1)))),
% 8.92/6.54 inference(quant_inst,[status(thm)],[])).
% 8.92/6.54 tff(21760,plain,
% 8.92/6.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB145, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB145, bitIndex1) <=> b001(bitIndex1))),
% 8.92/6.54 inference(modus_ponens,[status(thm)],[21759, 21758])).
% 8.92/6.54 tff(21761,plain,
% 8.92/6.54 (v130(constB145, bitIndex1) <=> b001(bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21760, 375, 21695])).
% 8.92/6.54 tff(21762,plain,
% 8.92/6.54 ((~(v130(constB145, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB145, bitIndex1)) | b001(bitIndex1)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21763,plain,
% 8.92/6.54 ((~(v130(constB145, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB145, bitIndex1))),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21762, 9923])).
% 8.92/6.54 tff(21764,plain,
% 8.92/6.54 (~v130(constB145, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21763, 21761])).
% 8.92/6.54 tff(21765,plain,
% 8.92/6.54 ((~(v127(constB145, bitIndex1) <=> v130(constB145, bitIndex1))) | (~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21766,plain,
% 8.92/6.54 (~v127(constB145, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21765, 21764, 21757])).
% 8.92/6.54 tff(21767,plain,
% 8.92/6.54 ((~(v129(constB146, bitIndex1) <=> v127(constB145, bitIndex1))) | (~v129(constB146, bitIndex1)) | v127(constB145, bitIndex1)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21768,plain,
% 8.92/6.54 (~v129(constB146, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21767, 21766, 21753])).
% 8.92/6.54 tff(21769,plain,
% 8.92/6.54 ((~(v90(constB146, bitIndex1) <=> v129(constB146, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21770,plain,
% 8.92/6.54 (~v90(constB146, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21769, 21768, 21749])).
% 8.92/6.54 tff(21771,plain,
% 8.92/6.54 ((~(v90(constB147, bitIndex1) <=> v90(constB146, bitIndex1))) | (~v90(constB147, bitIndex1)) | v90(constB146, bitIndex1)),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21772,plain,
% 8.92/6.54 (~v90(constB147, bitIndex1)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21771, 21770, 21745])).
% 8.92/6.54 tff(21773,plain,
% 8.92/6.54 ((~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))) | v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21774,plain,
% 8.92/6.54 (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21773, 21772, 21741, 21710])).
% 8.92/6.54 tff(21775,plain,
% 8.92/6.54 ((~(v120(constB147) <=> (~(v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))))) | v120(constB147) | (v90(constB147, bitIndex2) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex0)))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21776,plain,
% 8.92/6.54 (v120(constB147)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21775, 21774, 2893])).
% 8.92/6.54 tff(21777,plain,
% 8.92/6.54 ((v119(constB147) | v120(constB147)) | (~v120(constB147))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21778,plain,
% 8.92/6.54 (v119(constB147) | v120(constB147)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21777, 21776])).
% 8.92/6.54 tff(21779,plain,
% 8.92/6.54 ((~(v118(constB147) <=> (v119(constB147) | v120(constB147)))) | v118(constB147) | (~(v119(constB147) | v120(constB147)))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.92/6.54 tff(21780,plain,
% 8.92/6.54 (v118(constB147)),
% 8.92/6.54 inference(unit_resolution,[status(thm)],[21779, 21778, 2886])).
% 8.92/6.54 tff(21781,plain,
% 8.92/6.54 ((v118(constB147) | v121(constB147)) | (~v118(constB147))),
% 8.92/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21782,plain,
% 8.97/6.54 (v118(constB147) | v121(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21781, 21780])).
% 8.97/6.54 tff(21783,plain,
% 8.97/6.54 ((~(v117(constB147) <=> (v118(constB147) | v121(constB147)))) | v117(constB147) | (~(v118(constB147) | v121(constB147)))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21784,plain,
% 8.97/6.54 (v117(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21783, 21782, 2884])).
% 8.97/6.54 tff(21785,plain,
% 8.97/6.54 ((v117(constB147) | v122(constB147)) | (~v117(constB147))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21786,plain,
% 8.97/6.54 (v117(constB147) | v122(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21785, 21784])).
% 8.97/6.54 tff(21787,plain,
% 8.97/6.54 ((~(v116(constB147) <=> (v117(constB147) | v122(constB147)))) | v116(constB147) | (~(v117(constB147) | v122(constB147)))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21788,plain,
% 8.97/6.54 (v116(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21787, 21786, 2882])).
% 8.97/6.54 tff(21789,plain,
% 8.97/6.54 ((v116(constB147) | v123(constB147)) | (~v116(constB147))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21790,plain,
% 8.97/6.54 (v116(constB147) | v123(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21789, 21788])).
% 8.97/6.54 tff(21791,plain,
% 8.97/6.54 ((~(v115(constB147) <=> (v116(constB147) | v123(constB147)))) | v115(constB147) | (~(v116(constB147) | v123(constB147)))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21792,plain,
% 8.97/6.54 (v115(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21791, 21790, 2880])).
% 8.97/6.54 tff(21793,plain,
% 8.97/6.54 ((v115(constB147) | v124(constB147)) | (~v115(constB147))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21794,plain,
% 8.97/6.54 (v115(constB147) | v124(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21793, 21792])).
% 8.97/6.54 tff(21795,plain,
% 8.97/6.54 ((~(v114(constB147) <=> (v115(constB147) | v124(constB147)))) | v114(constB147) | (~(v115(constB147) | v124(constB147)))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21796,plain,
% 8.97/6.54 (v114(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21795, 21794, 2878])).
% 8.97/6.54 tff(21797,plain,
% 8.97/6.54 ((v114(constB147) | v125(constB147)) | (~v114(constB147))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21798,plain,
% 8.97/6.54 (v114(constB147) | v125(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21797, 21796])).
% 8.97/6.54 tff(21799,plain,
% 8.97/6.54 ((~(v113(constB147) <=> (v114(constB147) | v125(constB147)))) | v113(constB147) | (~(v114(constB147) | v125(constB147)))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21800,plain,
% 8.97/6.54 (v113(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21799, 21798, 2876])).
% 8.97/6.54 tff(21801,plain,
% 8.97/6.54 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB147)) <=> v111(constB147))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21802,plain,
% 8.97/6.54 ((~v126(constB147)) <=> v111(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21801, 9720])).
% 8.97/6.54 tff(21803,plain,
% 8.97/6.54 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB147) <=> v26(constB147))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21804,plain,
% 8.97/6.54 (v111(constB147) <=> v26(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21803, 9732])).
% 8.97/6.54 tff(21805,plain,
% 8.97/6.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21806,plain,
% 8.97/6.54 (~v26(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21805, 9744])).
% 8.97/6.54 tff(21807,plain,
% 8.97/6.54 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147)) | v26(constB147)),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21808,plain,
% 8.97/6.54 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21807, 21806])).
% 8.97/6.54 tff(21809,plain,
% 8.97/6.54 (~v111(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21808, 21804])).
% 8.97/6.54 tff(21810,plain,
% 8.97/6.54 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147) | v111(constB147)),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21811,plain,
% 8.97/6.54 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21810, 21809])).
% 8.97/6.54 tff(21812,plain,
% 8.97/6.54 (v126(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21811, 21802])).
% 8.97/6.54 tff(21813,plain,
% 8.97/6.54 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147)) | (~v126(constB147))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21814,plain,
% 8.97/6.54 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21813, 21812])).
% 8.97/6.54 tff(21815,plain,
% 8.97/6.54 (~((~v113(constB147)) | (~v126(constB147)))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21814, 21800])).
% 8.97/6.54 tff(21816,plain,
% 8.97/6.54 ((~(v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))) | v112(constB147) | ((~v113(constB147)) | (~v126(constB147)))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21817,plain,
% 8.97/6.54 (v112(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21816, 21815, 2874])).
% 8.97/6.54 tff(21818,plain,
% 8.97/6.54 ((v111(constB147) | v112(constB147)) | (~v112(constB147))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21819,plain,
% 8.97/6.54 (v111(constB147) | v112(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21818, 21817])).
% 8.97/6.54 tff(21820,plain,
% 8.97/6.54 ((~(v108(constB147) <=> (v111(constB147) | v112(constB147)))) | v108(constB147) | (~(v111(constB147) | v112(constB147)))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21821,plain,
% 8.97/6.54 (v108(constB147)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21820, 21819, 2872])).
% 8.97/6.54 tff(21822,plain,
% 8.97/6.54 ((~(v110(constB148) <=> v108(constB147))) | v110(constB148) | (~v108(constB147))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21823,plain,
% 8.97/6.54 (v110(constB148)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21822, 21821, 2870])).
% 8.97/6.54 tff(21824,plain,
% 8.97/6.54 ((~((~v101(constB148)) | (~v110(constB148)))) | (~v101(constB148)) | (~v110(constB148))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21825,plain,
% 8.97/6.54 (~((~v101(constB148)) | (~v110(constB148)))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21824, 21823, 2866])).
% 8.97/6.54 tff(21826,plain,
% 8.97/6.54 ((~(v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))) | v100(constB148) | ((~v101(constB148)) | (~v110(constB148)))),
% 8.97/6.54 inference(tautology,[status(thm)],[])).
% 8.97/6.54 tff(21827,plain,
% 8.97/6.54 (v100(constB148)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21826, 21825, 2835])).
% 8.97/6.54 tff(21828,plain,
% 8.97/6.54 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B))))),
% 8.97/6.54 inference(rewrite,[status(thm)],[])).
% 8.97/6.54 tff(21829,plain,
% 8.97/6.54 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B))))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21830,plain,
% 8.97/6.54 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))),
% 8.97/6.54 inference(modus_ponens,[status(thm)],[21829, 21828])).
% 8.97/6.54 tff(21831,plain,
% 8.97/6.54 ((~v100(constB148)) | ![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21830, 9780])).
% 8.97/6.54 tff(21832,plain,
% 8.97/6.54 (![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21831, 21827])).
% 8.97/6.54 tff(21833,plain,
% 8.97/6.54 (((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)))),
% 8.97/6.54 inference(rewrite,[status(thm)],[])).
% 8.97/6.54 tff(21834,plain,
% 8.97/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21835,plain,
% 8.97/6.54 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex2)) | (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2))),
% 8.97/6.54 inference(modus_ponens,[status(thm)],[21834, 21833])).
% 8.97/6.54 tff(21836,plain,
% 8.97/6.54 (v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21835, 648, 21832])).
% 8.97/6.54 tff(21837,plain,
% 8.97/6.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B))))),
% 8.97/6.54 inference(rewrite,[status(thm)],[])).
% 8.97/6.54 tff(21838,plain,
% 8.97/6.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B))))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21839,plain,
% 8.97/6.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))),
% 8.97/6.54 inference(modus_ponens,[status(thm)],[21838, 21837])).
% 8.97/6.54 tff(21840,plain,
% 8.97/6.54 (![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21839, 2831, 9802])).
% 8.97/6.54 tff(21841,plain,
% 8.97/6.54 (((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)))),
% 8.97/6.54 inference(rewrite,[status(thm)],[])).
% 8.97/6.54 tff(21842,plain,
% 8.97/6.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21843,plain,
% 8.97/6.54 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex2)) | (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2))),
% 8.97/6.54 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 8.97/6.54 tff(21844,plain,
% 8.97/6.54 (v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21843, 648, 21840])).
% 8.97/6.54 tff(21845,plain,
% 8.97/6.54 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB147) | ![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB147) | ![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B))))),
% 8.97/6.54 inference(rewrite,[status(thm)],[])).
% 8.97/6.54 tff(21846,plain,
% 8.97/6.54 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB147) | ![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B))))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21847,plain,
% 8.97/6.54 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB147) | ![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))),
% 8.97/6.54 inference(modus_ponens,[status(thm)],[21846, 21845])).
% 8.97/6.54 tff(21848,plain,
% 8.97/6.54 (![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21847, 9823, 21809])).
% 8.97/6.54 tff(21849,plain,
% 8.97/6.54 (((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)))),
% 8.97/6.54 inference(rewrite,[status(thm)],[])).
% 8.97/6.54 tff(21850,plain,
% 8.97/6.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21851,plain,
% 8.97/6.54 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex2)) | (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2))),
% 8.97/6.54 inference(modus_ponens,[status(thm)],[21850, 21849])).
% 8.97/6.54 tff(21852,plain,
% 8.97/6.54 (v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2)),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21851, 648, 21848])).
% 8.97/6.54 tff(21853,plain,
% 8.97/6.54 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B))))),
% 8.97/6.54 inference(rewrite,[status(thm)],[])).
% 8.97/6.54 tff(21854,plain,
% 8.97/6.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B))))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21855,plain,
% 8.97/6.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))),
% 8.97/6.54 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 8.97/6.54 tff(21856,plain,
% 8.97/6.54 ((~v120(constB147)) | ![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21855, 10027])).
% 8.97/6.54 tff(21857,plain,
% 8.97/6.54 (![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))),
% 8.97/6.54 inference(unit_resolution,[status(thm)],[21856, 21776])).
% 8.97/6.54 tff(21858,plain,
% 8.97/6.54 (((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2)))),
% 8.97/6.54 inference(rewrite,[status(thm)],[])).
% 8.97/6.54 tff(21859,plain,
% 8.97/6.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2)))),
% 8.97/6.54 inference(quant_inst,[status(thm)],[])).
% 8.97/6.54 tff(21860,plain,
% 8.97/6.54 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB147, bitIndex2) <=> b010(bitIndex2))),
% 8.97/6.54 inference(modus_ponens,[status(thm)],[21859, 21858])).
% 8.97/6.55 tff(21861,plain,
% 8.97/6.55 (v130(constB147, bitIndex2) <=> b010(bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21860, 648, 21857])).
% 8.97/6.55 tff(21862,plain,
% 8.97/6.55 ((~(v130(constB147, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB147, bitIndex2)) | b010(bitIndex2)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21863,plain,
% 8.97/6.55 ((~(v130(constB147, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB147, bitIndex2))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21862, 10039])).
% 8.97/6.55 tff(21864,plain,
% 8.97/6.55 (~v130(constB147, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21863, 21861])).
% 8.97/6.55 tff(21865,plain,
% 8.97/6.55 ((~(v127(constB147, bitIndex2) <=> v130(constB147, bitIndex2))) | (~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21866,plain,
% 8.97/6.55 (~v127(constB147, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21865, 21864, 21852])).
% 8.97/6.55 tff(21867,plain,
% 8.97/6.55 ((~(v129(constB148, bitIndex2) <=> v127(constB147, bitIndex2))) | (~v129(constB148, bitIndex2)) | v127(constB147, bitIndex2)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21868,plain,
% 8.97/6.55 (~v129(constB148, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21867, 21866, 21844])).
% 8.97/6.55 tff(21869,plain,
% 8.97/6.55 ((~(v90(constB148, bitIndex2) <=> v129(constB148, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21870,plain,
% 8.97/6.55 (~v90(constB148, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21869, 21868, 21836])).
% 8.97/6.55 tff(21871,plain,
% 8.97/6.55 ((~(v90(constB149, bitIndex2) <=> v90(constB148, bitIndex2))) | (~v90(constB149, bitIndex2)) | v90(constB148, bitIndex2)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21872,plain,
% 8.97/6.55 (~v90(constB149, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21871, 21870, 2828])).
% 8.97/6.55 tff(21873,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21874,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21875,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21874, 21873])).
% 8.97/6.55 tff(21876,plain,
% 8.97/6.55 (v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21875, 9653, 2824])).
% 8.97/6.55 tff(21877,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21878,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21879,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex0)) | (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21878, 21877])).
% 8.97/6.55 tff(21880,plain,
% 8.97/6.55 (v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21879, 9653, 21832])).
% 8.97/6.55 tff(21881,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21882,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21883,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex0)) | (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 8.97/6.55 tff(21884,plain,
% 8.97/6.55 (v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21883, 9653, 21840])).
% 8.97/6.55 tff(21885,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21886,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21887,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex0)) | (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21886, 21885])).
% 8.97/6.55 tff(21888,plain,
% 8.97/6.55 (v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21887, 9653, 21848])).
% 8.97/6.55 tff(21889,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21890,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21891,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB147, bitIndex0) <=> b010(bitIndex0))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21890, 21889])).
% 8.97/6.55 tff(21892,plain,
% 8.97/6.55 (v130(constB147, bitIndex0) <=> b010(bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21891, 9653, 21857])).
% 8.97/6.55 tff(21893,plain,
% 8.97/6.55 ((~(v130(constB147, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB147, bitIndex0)) | b010(bitIndex0)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21894,plain,
% 8.97/6.55 ((~(v130(constB147, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB147, bitIndex0))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21893, 10073])).
% 8.97/6.55 tff(21895,plain,
% 8.97/6.55 (~v130(constB147, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21894, 21892])).
% 8.97/6.55 tff(21896,plain,
% 8.97/6.55 ((~(v127(constB147, bitIndex0) <=> v130(constB147, bitIndex0))) | (~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21897,plain,
% 8.97/6.55 (~v127(constB147, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21896, 21895, 21888])).
% 8.97/6.55 tff(21898,plain,
% 8.97/6.55 ((~(v129(constB148, bitIndex0) <=> v127(constB147, bitIndex0))) | (~v129(constB148, bitIndex0)) | v127(constB147, bitIndex0)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21899,plain,
% 8.97/6.55 (~v129(constB148, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21898, 21897, 21884])).
% 8.97/6.55 tff(21900,plain,
% 8.97/6.55 ((~(v90(constB148, bitIndex0) <=> v129(constB148, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21901,plain,
% 8.97/6.55 (~v90(constB148, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21900, 21899, 21880])).
% 8.97/6.55 tff(21902,plain,
% 8.97/6.55 ((~(v90(constB149, bitIndex0) <=> v90(constB148, bitIndex0))) | (~v90(constB149, bitIndex0)) | v90(constB148, bitIndex0)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21903,plain,
% 8.97/6.55 (~v90(constB149, bitIndex0)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21902, 21901, 21876])).
% 8.97/6.55 tff(21904,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21905,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21906,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB149, B) <=> v90(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21905, 21904])).
% 8.97/6.55 tff(21907,plain,
% 8.97/6.55 (v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21906, 375, 2824])).
% 8.97/6.55 tff(21908,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21909,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | ((~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21910,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB148, B) <=> v129(constB148, B)))) | (~less_3(bitIndex1)) | (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21909, 21908])).
% 8.97/6.55 tff(21911,plain,
% 8.97/6.55 (v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21910, 375, 21832])).
% 8.97/6.55 tff(21912,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21913,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | ((~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21914,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB148, B) <=> v127(constB147, B)))) | (~less_3(bitIndex1)) | (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21913, 21912])).
% 8.97/6.55 tff(21915,plain,
% 8.97/6.55 (v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21914, 375, 21840])).
% 8.97/6.55 tff(21916,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21917,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | ((~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21918,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB147, B) <=> v130(constB147, B)))) | (~less_3(bitIndex1)) | (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21917, 21916])).
% 8.97/6.55 tff(21919,plain,
% 8.97/6.55 (v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21918, 375, 21848])).
% 8.97/6.55 tff(21920,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21921,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21922,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB147, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB147, bitIndex1) <=> b010(bitIndex1))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21921, 21920])).
% 8.97/6.55 tff(21923,plain,
% 8.97/6.55 (v130(constB147, bitIndex1) <=> b010(bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21922, 375, 21857])).
% 8.97/6.55 tff(21924,plain,
% 8.97/6.55 ((~(v130(constB147, bitIndex1) <=> b010(bitIndex1))) | v130(constB147, bitIndex1) | (~b010(bitIndex1))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21925,plain,
% 8.97/6.55 ((~(v130(constB147, bitIndex1) <=> b010(bitIndex1))) | v130(constB147, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21924, 10107])).
% 8.97/6.55 tff(21926,plain,
% 8.97/6.55 (v130(constB147, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21925, 21923])).
% 8.97/6.55 tff(21927,plain,
% 8.97/6.55 ((~(v127(constB147, bitIndex1) <=> v130(constB147, bitIndex1))) | v127(constB147, bitIndex1) | (~v130(constB147, bitIndex1))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21928,plain,
% 8.97/6.55 (v127(constB147, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21927, 21926, 21919])).
% 8.97/6.55 tff(21929,plain,
% 8.97/6.55 ((~(v129(constB148, bitIndex1) <=> v127(constB147, bitIndex1))) | v129(constB148, bitIndex1) | (~v127(constB147, bitIndex1))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21930,plain,
% 8.97/6.55 (v129(constB148, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21929, 21928, 21915])).
% 8.97/6.55 tff(21931,plain,
% 8.97/6.55 ((~(v90(constB148, bitIndex1) <=> v129(constB148, bitIndex1))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21932,plain,
% 8.97/6.55 (v90(constB148, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21931, 21930, 21911])).
% 8.97/6.55 tff(21933,plain,
% 8.97/6.55 ((~(v90(constB149, bitIndex1) <=> v90(constB148, bitIndex1))) | v90(constB149, bitIndex1) | (~v90(constB148, bitIndex1))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21934,plain,
% 8.97/6.55 (v90(constB149, bitIndex1)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21933, 21932, 21907])).
% 8.97/6.55 tff(21935,plain,
% 8.97/6.55 ((~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21936,plain,
% 8.97/6.55 (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21935, 21934, 21903, 21872])).
% 8.97/6.55 tff(21937,plain,
% 8.97/6.55 ((~(v121(constB149) <=> (~(v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))))) | v121(constB149) | (v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex0))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21938,plain,
% 8.97/6.55 (v121(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21937, 21936, 2796])).
% 8.97/6.55 tff(21939,plain,
% 8.97/6.55 ((v118(constB149) | v121(constB149)) | (~v121(constB149))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21940,plain,
% 8.97/6.55 (v118(constB149) | v121(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21939, 21938])).
% 8.97/6.55 tff(21941,plain,
% 8.97/6.55 ((~(v117(constB149) <=> (v118(constB149) | v121(constB149)))) | v117(constB149) | (~(v118(constB149) | v121(constB149)))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21942,plain,
% 8.97/6.55 (v117(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21941, 21940, 2789])).
% 8.97/6.55 tff(21943,plain,
% 8.97/6.55 ((v117(constB149) | v122(constB149)) | (~v117(constB149))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21944,plain,
% 8.97/6.55 (v117(constB149) | v122(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21943, 21942])).
% 8.97/6.55 tff(21945,plain,
% 8.97/6.55 ((~(v116(constB149) <=> (v117(constB149) | v122(constB149)))) | v116(constB149) | (~(v117(constB149) | v122(constB149)))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21946,plain,
% 8.97/6.55 (v116(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21945, 21944, 2787])).
% 8.97/6.55 tff(21947,plain,
% 8.97/6.55 ((v116(constB149) | v123(constB149)) | (~v116(constB149))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21948,plain,
% 8.97/6.55 (v116(constB149) | v123(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21947, 21946])).
% 8.97/6.55 tff(21949,plain,
% 8.97/6.55 ((~(v115(constB149) <=> (v116(constB149) | v123(constB149)))) | v115(constB149) | (~(v116(constB149) | v123(constB149)))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21950,plain,
% 8.97/6.55 (v115(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21949, 21948, 2785])).
% 8.97/6.55 tff(21951,plain,
% 8.97/6.55 ((v115(constB149) | v124(constB149)) | (~v115(constB149))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21952,plain,
% 8.97/6.55 (v115(constB149) | v124(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21951, 21950])).
% 8.97/6.55 tff(21953,plain,
% 8.97/6.55 ((~(v114(constB149) <=> (v115(constB149) | v124(constB149)))) | v114(constB149) | (~(v115(constB149) | v124(constB149)))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21954,plain,
% 8.97/6.55 (v114(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21953, 21952, 2783])).
% 8.97/6.55 tff(21955,plain,
% 8.97/6.55 ((v114(constB149) | v125(constB149)) | (~v114(constB149))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21956,plain,
% 8.97/6.55 (v114(constB149) | v125(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21955, 21954])).
% 8.97/6.55 tff(21957,plain,
% 8.97/6.55 ((~(v113(constB149) <=> (v114(constB149) | v125(constB149)))) | v113(constB149) | (~(v114(constB149) | v125(constB149)))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21958,plain,
% 8.97/6.55 (v113(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21957, 21956, 2781])).
% 8.97/6.55 tff(21959,plain,
% 8.97/6.55 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB149)) <=> v111(constB149))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21960,plain,
% 8.97/6.55 ((~v126(constB149)) <=> v111(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21959, 9720])).
% 8.97/6.55 tff(21961,plain,
% 8.97/6.55 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB149) <=> v26(constB149))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21962,plain,
% 8.97/6.55 (v111(constB149) <=> v26(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21961, 9732])).
% 8.97/6.55 tff(21963,plain,
% 8.97/6.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21964,plain,
% 8.97/6.55 (~v26(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21963, 9744])).
% 8.97/6.55 tff(21965,plain,
% 8.97/6.55 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149)) | v26(constB149)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21966,plain,
% 8.97/6.55 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21965, 21964])).
% 8.97/6.55 tff(21967,plain,
% 8.97/6.55 (~v111(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21966, 21962])).
% 8.97/6.55 tff(21968,plain,
% 8.97/6.55 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149) | v111(constB149)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21969,plain,
% 8.97/6.55 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21968, 21967])).
% 8.97/6.55 tff(21970,plain,
% 8.97/6.55 (v126(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21969, 21960])).
% 8.97/6.55 tff(21971,plain,
% 8.97/6.55 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149)) | (~v126(constB149))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21972,plain,
% 8.97/6.55 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21971, 21970])).
% 8.97/6.55 tff(21973,plain,
% 8.97/6.55 (~((~v113(constB149)) | (~v126(constB149)))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21972, 21958])).
% 8.97/6.55 tff(21974,plain,
% 8.97/6.55 ((~(v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))) | v112(constB149) | ((~v113(constB149)) | (~v126(constB149)))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21975,plain,
% 8.97/6.55 (v112(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21974, 21973, 2779])).
% 8.97/6.55 tff(21976,plain,
% 8.97/6.55 ((v111(constB149) | v112(constB149)) | (~v112(constB149))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21977,plain,
% 8.97/6.55 (v111(constB149) | v112(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21976, 21975])).
% 8.97/6.55 tff(21978,plain,
% 8.97/6.55 ((~(v108(constB149) <=> (v111(constB149) | v112(constB149)))) | v108(constB149) | (~(v111(constB149) | v112(constB149)))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21979,plain,
% 8.97/6.55 (v108(constB149)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21978, 21977, 2777])).
% 8.97/6.55 tff(21980,plain,
% 8.97/6.55 ((~(v110(constB150) <=> v108(constB149))) | v110(constB150) | (~v108(constB149))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21981,plain,
% 8.97/6.55 (v110(constB150)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21980, 21979, 2775])).
% 8.97/6.55 tff(21982,plain,
% 8.97/6.55 ((~((~v101(constB150)) | (~v110(constB150)))) | (~v101(constB150)) | (~v110(constB150))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21983,plain,
% 8.97/6.55 (~((~v101(constB150)) | (~v110(constB150)))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21982, 21981, 2771])).
% 8.97/6.55 tff(21984,plain,
% 8.97/6.55 ((~(v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))) | v100(constB150) | ((~v101(constB150)) | (~v110(constB150)))),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(21985,plain,
% 8.97/6.55 (v100(constB150)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21984, 21983, 2740])).
% 8.97/6.55 tff(21986,plain,
% 8.97/6.55 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B))))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21987,plain,
% 8.97/6.55 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B))))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21988,plain,
% 8.97/6.55 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21987, 21986])).
% 8.97/6.55 tff(21989,plain,
% 8.97/6.55 ((~v100(constB150)) | ![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21988, 9780])).
% 8.97/6.55 tff(21990,plain,
% 8.97/6.55 (![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21989, 21985])).
% 8.97/6.55 tff(21991,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21992,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21993,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex2)) | (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21992, 21991])).
% 8.97/6.55 tff(21994,plain,
% 8.97/6.55 (v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21993, 648, 21990])).
% 8.97/6.55 tff(21995,plain,
% 8.97/6.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B))))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(21996,plain,
% 8.97/6.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B))))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(21997,plain,
% 8.97/6.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[21996, 21995])).
% 8.97/6.55 tff(21998,plain,
% 8.97/6.55 (![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[21997, 2736, 9802])).
% 8.97/6.55 tff(21999,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(22000,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(22001,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex2)) | (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[22000, 21999])).
% 8.97/6.55 tff(22002,plain,
% 8.97/6.55 (v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22001, 648, 21998])).
% 8.97/6.55 tff(22003,plain,
% 8.97/6.55 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB149) | ![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB149) | ![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B))))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(22004,plain,
% 8.97/6.55 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB149) | ![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B))))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(22005,plain,
% 8.97/6.55 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB149) | ![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[22004, 22003])).
% 8.97/6.55 tff(22006,plain,
% 8.97/6.55 (![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22005, 9823, 21967])).
% 8.97/6.55 tff(22007,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(22008,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(22009,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex2)) | (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[22008, 22007])).
% 8.97/6.55 tff(22010,plain,
% 8.97/6.55 (v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22009, 648, 22006])).
% 8.97/6.55 tff(22011,plain,
% 8.97/6.55 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B))))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(22012,plain,
% 8.97/6.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B))))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(22013,plain,
% 8.97/6.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[22012, 22011])).
% 8.97/6.55 tff(22014,plain,
% 8.97/6.55 ((~v121(constB149)) | ![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22013, 10207])).
% 8.97/6.55 tff(22015,plain,
% 8.97/6.55 (![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22014, 21938])).
% 8.97/6.55 tff(22016,plain,
% 8.97/6.55 (((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2)))),
% 8.97/6.55 inference(rewrite,[status(thm)],[])).
% 8.97/6.55 tff(22017,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2)))),
% 8.97/6.55 inference(quant_inst,[status(thm)],[])).
% 8.97/6.55 tff(22018,plain,
% 8.97/6.55 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB149, bitIndex2) <=> b011(bitIndex2))),
% 8.97/6.55 inference(modus_ponens,[status(thm)],[22017, 22016])).
% 8.97/6.55 tff(22019,plain,
% 8.97/6.55 (v130(constB149, bitIndex2) <=> b011(bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22018, 648, 22015])).
% 8.97/6.55 tff(22020,plain,
% 8.97/6.55 ((~(v130(constB149, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB149, bitIndex2)) | b011(bitIndex2)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(22021,plain,
% 8.97/6.55 ((~(v130(constB149, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB149, bitIndex2))),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22020, 10219])).
% 8.97/6.55 tff(22022,plain,
% 8.97/6.55 (~v130(constB149, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22021, 22019])).
% 8.97/6.55 tff(22023,plain,
% 8.97/6.55 ((~(v127(constB149, bitIndex2) <=> v130(constB149, bitIndex2))) | (~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(22024,plain,
% 8.97/6.55 (~v127(constB149, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22023, 22022, 22010])).
% 8.97/6.55 tff(22025,plain,
% 8.97/6.55 ((~(v129(constB150, bitIndex2) <=> v127(constB149, bitIndex2))) | (~v129(constB150, bitIndex2)) | v127(constB149, bitIndex2)),
% 8.97/6.55 inference(tautology,[status(thm)],[])).
% 8.97/6.55 tff(22026,plain,
% 8.97/6.55 (~v129(constB150, bitIndex2)),
% 8.97/6.55 inference(unit_resolution,[status(thm)],[22025, 22024, 22002])).
% 8.97/6.55 tff(22027,plain,
% 8.97/6.55 ((~(v90(constB150, bitIndex2) <=> v129(constB150, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2)),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22028,plain,
% 8.97/6.56 (~v90(constB150, bitIndex2)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22027, 22026, 21994])).
% 8.97/6.56 tff(22029,plain,
% 8.97/6.56 ((~(v90(constB151, bitIndex2) <=> v90(constB150, bitIndex2))) | (~v90(constB151, bitIndex2)) | v90(constB150, bitIndex2)),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22030,plain,
% 8.97/6.56 (~v90(constB151, bitIndex2)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22029, 22028, 2733])).
% 8.97/6.56 tff(22031,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22032,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22033,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22032, 22031])).
% 8.97/6.56 tff(22034,plain,
% 8.97/6.56 (v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22033, 9653, 2729])).
% 8.97/6.56 tff(22035,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22036,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22037,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex0)) | (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22036, 22035])).
% 8.97/6.56 tff(22038,plain,
% 8.97/6.56 (v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22037, 9653, 21990])).
% 8.97/6.56 tff(22039,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22040,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22041,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex0)) | (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22040, 22039])).
% 8.97/6.56 tff(22042,plain,
% 8.97/6.56 (v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22041, 9653, 21998])).
% 8.97/6.56 tff(22043,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22044,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22045,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex0)) | (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22044, 22043])).
% 8.97/6.56 tff(22046,plain,
% 8.97/6.56 (v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22045, 9653, 22006])).
% 8.97/6.56 tff(22047,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22048,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22049,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB149, bitIndex0) <=> b011(bitIndex0))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22048, 22047])).
% 8.97/6.56 tff(22050,plain,
% 8.97/6.56 (v130(constB149, bitIndex0) <=> b011(bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22049, 9653, 22015])).
% 8.97/6.56 tff(22051,plain,
% 8.97/6.56 ((~(v130(constB149, bitIndex0) <=> b011(bitIndex0))) | v130(constB149, bitIndex0) | (~b011(bitIndex0))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22052,plain,
% 8.97/6.56 ((~(v130(constB149, bitIndex0) <=> b011(bitIndex0))) | v130(constB149, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22051, 10253])).
% 8.97/6.56 tff(22053,plain,
% 8.97/6.56 (v130(constB149, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22052, 22050])).
% 8.97/6.56 tff(22054,plain,
% 8.97/6.56 ((~(v127(constB149, bitIndex0) <=> v130(constB149, bitIndex0))) | v127(constB149, bitIndex0) | (~v130(constB149, bitIndex0))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22055,plain,
% 8.97/6.56 (v127(constB149, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22054, 22053, 22046])).
% 8.97/6.56 tff(22056,plain,
% 8.97/6.56 ((~(v129(constB150, bitIndex0) <=> v127(constB149, bitIndex0))) | v129(constB150, bitIndex0) | (~v127(constB149, bitIndex0))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22057,plain,
% 8.97/6.56 (v129(constB150, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22056, 22055, 22042])).
% 8.97/6.56 tff(22058,plain,
% 8.97/6.56 ((~(v90(constB150, bitIndex0) <=> v129(constB150, bitIndex0))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22059,plain,
% 8.97/6.56 (v90(constB150, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22058, 22057, 22038])).
% 8.97/6.56 tff(22060,plain,
% 8.97/6.56 ((~(v90(constB151, bitIndex0) <=> v90(constB150, bitIndex0))) | v90(constB151, bitIndex0) | (~v90(constB150, bitIndex0))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22061,plain,
% 8.97/6.56 (v90(constB151, bitIndex0)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22060, 22059, 22034])).
% 8.97/6.56 tff(22062,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22063,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22064,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB151, B) <=> v90(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22063, 22062])).
% 8.97/6.56 tff(22065,plain,
% 8.97/6.56 (v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22064, 375, 2729])).
% 8.97/6.56 tff(22066,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22067,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | ((~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22068,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB150, B) <=> v129(constB150, B)))) | (~less_3(bitIndex1)) | (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 8.97/6.56 tff(22069,plain,
% 8.97/6.56 (v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22068, 375, 21990])).
% 8.97/6.56 tff(22070,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22071,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | ((~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22072,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB150, B) <=> v127(constB149, B)))) | (~less_3(bitIndex1)) | (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22071, 22070])).
% 8.97/6.56 tff(22073,plain,
% 8.97/6.56 (v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22072, 375, 21998])).
% 8.97/6.56 tff(22074,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22075,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | ((~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22076,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB149, B) <=> v130(constB149, B)))) | (~less_3(bitIndex1)) | (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22075, 22074])).
% 8.97/6.56 tff(22077,plain,
% 8.97/6.56 (v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22076, 375, 22006])).
% 8.97/6.56 tff(22078,plain,
% 8.97/6.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1)))),
% 8.97/6.56 inference(rewrite,[status(thm)],[])).
% 8.97/6.56 tff(22079,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1)))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22080,plain,
% 8.97/6.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB149, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB149, bitIndex1) <=> b011(bitIndex1))),
% 8.97/6.56 inference(modus_ponens,[status(thm)],[22079, 22078])).
% 8.97/6.56 tff(22081,plain,
% 8.97/6.56 (v130(constB149, bitIndex1) <=> b011(bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22080, 375, 22015])).
% 8.97/6.56 tff(22082,plain,
% 8.97/6.56 ((~(v130(constB149, bitIndex1) <=> b011(bitIndex1))) | v130(constB149, bitIndex1) | (~b011(bitIndex1))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22083,plain,
% 8.97/6.56 ((~(v130(constB149, bitIndex1) <=> b011(bitIndex1))) | v130(constB149, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22082, 10287])).
% 8.97/6.56 tff(22084,plain,
% 8.97/6.56 (v130(constB149, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22083, 22081])).
% 8.97/6.56 tff(22085,plain,
% 8.97/6.56 ((~(v127(constB149, bitIndex1) <=> v130(constB149, bitIndex1))) | v127(constB149, bitIndex1) | (~v130(constB149, bitIndex1))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22086,plain,
% 8.97/6.56 (v127(constB149, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22085, 22084, 22077])).
% 8.97/6.56 tff(22087,plain,
% 8.97/6.56 ((~(v129(constB150, bitIndex1) <=> v127(constB149, bitIndex1))) | v129(constB150, bitIndex1) | (~v127(constB149, bitIndex1))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22088,plain,
% 8.97/6.56 (v129(constB150, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22087, 22086, 22073])).
% 8.97/6.56 tff(22089,plain,
% 8.97/6.56 ((~(v90(constB150, bitIndex1) <=> v129(constB150, bitIndex1))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22090,plain,
% 8.97/6.56 (v90(constB150, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22089, 22088, 22069])).
% 8.97/6.56 tff(22091,plain,
% 8.97/6.56 ((~(v90(constB151, bitIndex1) <=> v90(constB150, bitIndex1))) | v90(constB151, bitIndex1) | (~v90(constB150, bitIndex1))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22092,plain,
% 8.97/6.56 (v90(constB151, bitIndex1)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22091, 22090, 22065])).
% 8.97/6.56 tff(22093,plain,
% 8.97/6.56 ((~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))) | v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22094,plain,
% 8.97/6.56 (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22093, 22092, 22061, 22030])).
% 8.97/6.56 tff(22095,plain,
% 8.97/6.56 ((~(v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))) | v122(constB151) | (v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22096,plain,
% 8.97/6.56 (v122(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22095, 22094, 2701])).
% 8.97/6.56 tff(22097,plain,
% 8.97/6.56 ((v117(constB151) | v122(constB151)) | (~v122(constB151))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22098,plain,
% 8.97/6.56 (v117(constB151) | v122(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22097, 22096])).
% 8.97/6.56 tff(22099,plain,
% 8.97/6.56 ((~(v116(constB151) <=> (v117(constB151) | v122(constB151)))) | v116(constB151) | (~(v117(constB151) | v122(constB151)))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22100,plain,
% 8.97/6.56 (v116(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22099, 22098, 2694])).
% 8.97/6.56 tff(22101,plain,
% 8.97/6.56 ((v116(constB151) | v123(constB151)) | (~v116(constB151))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22102,plain,
% 8.97/6.56 (v116(constB151) | v123(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22101, 22100])).
% 8.97/6.56 tff(22103,plain,
% 8.97/6.56 ((~(v115(constB151) <=> (v116(constB151) | v123(constB151)))) | v115(constB151) | (~(v116(constB151) | v123(constB151)))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22104,plain,
% 8.97/6.56 (v115(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22103, 22102, 2692])).
% 8.97/6.56 tff(22105,plain,
% 8.97/6.56 ((v115(constB151) | v124(constB151)) | (~v115(constB151))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22106,plain,
% 8.97/6.56 (v115(constB151) | v124(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22105, 22104])).
% 8.97/6.56 tff(22107,plain,
% 8.97/6.56 ((~(v114(constB151) <=> (v115(constB151) | v124(constB151)))) | v114(constB151) | (~(v115(constB151) | v124(constB151)))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22108,plain,
% 8.97/6.56 (v114(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22107, 22106, 2690])).
% 8.97/6.56 tff(22109,plain,
% 8.97/6.56 ((v114(constB151) | v125(constB151)) | (~v114(constB151))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22110,plain,
% 8.97/6.56 (v114(constB151) | v125(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22109, 22108])).
% 8.97/6.56 tff(22111,plain,
% 8.97/6.56 ((~(v113(constB151) <=> (v114(constB151) | v125(constB151)))) | v113(constB151) | (~(v114(constB151) | v125(constB151)))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22112,plain,
% 8.97/6.56 (v113(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22111, 22110, 2688])).
% 8.97/6.56 tff(22113,plain,
% 8.97/6.56 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB151)) <=> v111(constB151))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22114,plain,
% 8.97/6.56 ((~v126(constB151)) <=> v111(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22113, 9720])).
% 8.97/6.56 tff(22115,plain,
% 8.97/6.56 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB151) <=> v26(constB151))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22116,plain,
% 8.97/6.56 (v111(constB151) <=> v26(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22115, 9732])).
% 8.97/6.56 tff(22117,plain,
% 8.97/6.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 8.97/6.56 inference(quant_inst,[status(thm)],[])).
% 8.97/6.56 tff(22118,plain,
% 8.97/6.56 (~v26(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22117, 9744])).
% 8.97/6.56 tff(22119,plain,
% 8.97/6.56 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151)) | v26(constB151)),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22120,plain,
% 8.97/6.56 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151))),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22119, 22118])).
% 8.97/6.56 tff(22121,plain,
% 8.97/6.56 (~v111(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22120, 22116])).
% 8.97/6.56 tff(22122,plain,
% 8.97/6.56 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151) | v111(constB151)),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22123,plain,
% 8.97/6.56 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22122, 22121])).
% 8.97/6.56 tff(22124,plain,
% 8.97/6.56 (v126(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22123, 22114])).
% 8.97/6.56 tff(22125,plain,
% 8.97/6.56 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151)) | (~v126(constB151))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22126,plain,
% 8.97/6.56 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151))),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22125, 22124])).
% 8.97/6.56 tff(22127,plain,
% 8.97/6.56 (~((~v113(constB151)) | (~v126(constB151)))),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22126, 22112])).
% 8.97/6.56 tff(22128,plain,
% 8.97/6.56 ((~(v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))) | v112(constB151) | ((~v113(constB151)) | (~v126(constB151)))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22129,plain,
% 8.97/6.56 (v112(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22128, 22127, 2686])).
% 8.97/6.56 tff(22130,plain,
% 8.97/6.56 ((v111(constB151) | v112(constB151)) | (~v112(constB151))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22131,plain,
% 8.97/6.56 (v111(constB151) | v112(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22130, 22129])).
% 8.97/6.56 tff(22132,plain,
% 8.97/6.56 ((~(v108(constB151) <=> (v111(constB151) | v112(constB151)))) | v108(constB151) | (~(v111(constB151) | v112(constB151)))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22133,plain,
% 8.97/6.56 (v108(constB151)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22132, 22131, 2684])).
% 8.97/6.56 tff(22134,plain,
% 8.97/6.56 ((~(v110(constB152) <=> v108(constB151))) | v110(constB152) | (~v108(constB151))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22135,plain,
% 8.97/6.56 (v110(constB152)),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22134, 22133, 2682])).
% 8.97/6.56 tff(22136,plain,
% 8.97/6.56 ((~((~v101(constB152)) | (~v110(constB152)))) | (~v101(constB152)) | (~v110(constB152))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.97/6.56 tff(22137,plain,
% 8.97/6.56 (~((~v101(constB152)) | (~v110(constB152)))),
% 8.97/6.56 inference(unit_resolution,[status(thm)],[22136, 22135, 2678])).
% 8.97/6.56 tff(22138,plain,
% 8.97/6.56 ((~(v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))) | v100(constB152) | ((~v101(constB152)) | (~v110(constB152)))),
% 8.97/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(22139,plain,
% 8.99/6.56 (v100(constB152)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22138, 22137, 2647])).
% 8.99/6.56 tff(22140,plain,
% 8.99/6.56 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B))))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22141,plain,
% 8.99/6.56 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B))))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22142,plain,
% 8.99/6.56 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22141, 22140])).
% 8.99/6.56 tff(22143,plain,
% 8.99/6.56 ((~v100(constB152)) | ![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22142, 9780])).
% 8.99/6.56 tff(22144,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22143, 22139])).
% 8.99/6.56 tff(22145,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22146,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22147,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex2)) | (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22146, 22145])).
% 8.99/6.56 tff(22148,plain,
% 8.99/6.56 (v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22147, 648, 22144])).
% 8.99/6.56 tff(22149,plain,
% 8.99/6.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B))))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22150,plain,
% 8.99/6.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B))))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22151,plain,
% 8.99/6.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22150, 22149])).
% 8.99/6.56 tff(22152,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22151, 2643, 9802])).
% 8.99/6.56 tff(22153,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22154,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22155,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex2)) | (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22154, 22153])).
% 8.99/6.56 tff(22156,plain,
% 8.99/6.56 (v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22155, 648, 22152])).
% 8.99/6.56 tff(22157,plain,
% 8.99/6.56 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB151) | ![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB151) | ![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B))))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22158,plain,
% 8.99/6.56 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB151) | ![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B))))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22159,plain,
% 8.99/6.56 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB151) | ![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22158, 22157])).
% 8.99/6.56 tff(22160,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22159, 9823, 22121])).
% 8.99/6.56 tff(22161,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22162,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22163,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex2)) | (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 8.99/6.56 tff(22164,plain,
% 8.99/6.56 (v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22163, 648, 22160])).
% 8.99/6.56 tff(22165,plain,
% 8.99/6.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B))))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22166,plain,
% 8.99/6.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B))))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22167,plain,
% 8.99/6.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22166, 22165])).
% 8.99/6.56 tff(22168,plain,
% 8.99/6.56 ((~v122(constB151)) | ![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22167, 10383])).
% 8.99/6.56 tff(22169,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22168, 22096])).
% 8.99/6.56 tff(22170,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22171,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22172,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB151, bitIndex2) <=> b100(bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22171, 22170])).
% 8.99/6.56 tff(22173,plain,
% 8.99/6.56 (v130(constB151, bitIndex2) <=> b100(bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22172, 648, 22169])).
% 8.99/6.56 tff(22174,plain,
% 8.99/6.56 ((~(v130(constB151, bitIndex2) <=> b100(bitIndex2))) | v130(constB151, bitIndex2) | (~b100(bitIndex2))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(22175,plain,
% 8.99/6.56 ((~(v130(constB151, bitIndex2) <=> b100(bitIndex2))) | v130(constB151, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22174, 10395])).
% 8.99/6.56 tff(22176,plain,
% 8.99/6.56 (v130(constB151, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22175, 22173])).
% 8.99/6.56 tff(22177,plain,
% 8.99/6.56 ((~(v127(constB151, bitIndex2) <=> v130(constB151, bitIndex2))) | v127(constB151, bitIndex2) | (~v130(constB151, bitIndex2))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(22178,plain,
% 8.99/6.56 (v127(constB151, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22177, 22176, 22164])).
% 8.99/6.56 tff(22179,plain,
% 8.99/6.56 ((~(v129(constB152, bitIndex2) <=> v127(constB151, bitIndex2))) | v129(constB152, bitIndex2) | (~v127(constB151, bitIndex2))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(22180,plain,
% 8.99/6.56 (v129(constB152, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22179, 22178, 22156])).
% 8.99/6.56 tff(22181,plain,
% 8.99/6.56 ((~(v90(constB152, bitIndex2) <=> v129(constB152, bitIndex2))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(22182,plain,
% 8.99/6.56 (v90(constB152, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22181, 22180, 22148])).
% 8.99/6.56 tff(22183,plain,
% 8.99/6.56 ((~(v90(constB153, bitIndex2) <=> v90(constB152, bitIndex2))) | v90(constB153, bitIndex2) | (~v90(constB152, bitIndex2))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(22184,plain,
% 8.99/6.56 (v90(constB153, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22183, 22182, 2640])).
% 8.99/6.56 tff(22185,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(22186,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(22187,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[22186, 22185])).
% 8.99/6.56 tff(22188,plain,
% 8.99/6.56 (v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[22187, 9653, 2636])).
% 8.99/6.56 tff(22189,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22190,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22191,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex0)) | (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22190, 22189])).
% 8.99/6.57 tff(22192,plain,
% 8.99/6.57 (v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22191, 9653, 22144])).
% 8.99/6.57 tff(22193,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22194,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22195,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex0)) | (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22194, 22193])).
% 8.99/6.57 tff(22196,plain,
% 8.99/6.57 (v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22195, 9653, 22152])).
% 8.99/6.57 tff(22197,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22198,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22199,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex0)) | (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22198, 22197])).
% 8.99/6.57 tff(22200,plain,
% 8.99/6.57 (v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22199, 9653, 22160])).
% 8.99/6.57 tff(22201,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22202,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22203,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB151, bitIndex0) <=> b100(bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22202, 22201])).
% 8.99/6.57 tff(22204,plain,
% 8.99/6.57 (v130(constB151, bitIndex0) <=> b100(bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22203, 9653, 22169])).
% 8.99/6.57 tff(22205,plain,
% 8.99/6.57 ((~(v130(constB151, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB151, bitIndex0)) | b100(bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22206,plain,
% 8.99/6.57 ((~(v130(constB151, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB151, bitIndex0))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22205, 10429])).
% 8.99/6.57 tff(22207,plain,
% 8.99/6.57 (~v130(constB151, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22206, 22204])).
% 8.99/6.57 tff(22208,plain,
% 8.99/6.57 ((~(v127(constB151, bitIndex0) <=> v130(constB151, bitIndex0))) | (~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22209,plain,
% 8.99/6.57 (~v127(constB151, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22208, 22207, 22200])).
% 8.99/6.57 tff(22210,plain,
% 8.99/6.57 ((~(v129(constB152, bitIndex0) <=> v127(constB151, bitIndex0))) | (~v129(constB152, bitIndex0)) | v127(constB151, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22211,plain,
% 8.99/6.57 (~v129(constB152, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22210, 22209, 22196])).
% 8.99/6.57 tff(22212,plain,
% 8.99/6.57 ((~(v90(constB152, bitIndex0) <=> v129(constB152, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22213,plain,
% 8.99/6.57 (~v90(constB152, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22212, 22211, 22192])).
% 8.99/6.57 tff(22214,plain,
% 8.99/6.57 ((~(v90(constB153, bitIndex0) <=> v90(constB152, bitIndex0))) | (~v90(constB153, bitIndex0)) | v90(constB152, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22215,plain,
% 8.99/6.57 (~v90(constB153, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22214, 22213, 22188])).
% 8.99/6.57 tff(22216,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22217,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22218,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB153, B) <=> v90(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22217, 22216])).
% 8.99/6.57 tff(22219,plain,
% 8.99/6.57 (v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22218, 375, 2636])).
% 8.99/6.57 tff(22220,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22221,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | ((~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22222,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB152, B) <=> v129(constB152, B)))) | (~less_3(bitIndex1)) | (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22221, 22220])).
% 8.99/6.57 tff(22223,plain,
% 8.99/6.57 (v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22222, 375, 22144])).
% 8.99/6.57 tff(22224,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22225,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | ((~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22226,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB152, B) <=> v127(constB151, B)))) | (~less_3(bitIndex1)) | (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22225, 22224])).
% 8.99/6.57 tff(22227,plain,
% 8.99/6.57 (v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22226, 375, 22152])).
% 8.99/6.57 tff(22228,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22229,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | ((~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22230,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB151, B) <=> v130(constB151, B)))) | (~less_3(bitIndex1)) | (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22229, 22228])).
% 8.99/6.57 tff(22231,plain,
% 8.99/6.57 (v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22230, 375, 22160])).
% 8.99/6.57 tff(22232,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22233,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22234,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB151, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB151, bitIndex1) <=> b100(bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22233, 22232])).
% 8.99/6.57 tff(22235,plain,
% 8.99/6.57 (v130(constB151, bitIndex1) <=> b100(bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22234, 375, 22169])).
% 8.99/6.57 tff(22236,plain,
% 8.99/6.57 ((~(v130(constB151, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB151, bitIndex1)) | b100(bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22237,plain,
% 8.99/6.57 ((~(v130(constB151, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB151, bitIndex1))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22236, 10463])).
% 8.99/6.57 tff(22238,plain,
% 8.99/6.57 (~v130(constB151, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22237, 22235])).
% 8.99/6.57 tff(22239,plain,
% 8.99/6.57 ((~(v127(constB151, bitIndex1) <=> v130(constB151, bitIndex1))) | (~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22240,plain,
% 8.99/6.57 (~v127(constB151, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22239, 22238, 22231])).
% 8.99/6.57 tff(22241,plain,
% 8.99/6.57 ((~(v129(constB152, bitIndex1) <=> v127(constB151, bitIndex1))) | (~v129(constB152, bitIndex1)) | v127(constB151, bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22242,plain,
% 8.99/6.57 (~v129(constB152, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22241, 22240, 22227])).
% 8.99/6.57 tff(22243,plain,
% 8.99/6.57 ((~(v90(constB152, bitIndex1) <=> v129(constB152, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22244,plain,
% 8.99/6.57 (~v90(constB152, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22243, 22242, 22223])).
% 8.99/6.57 tff(22245,plain,
% 8.99/6.57 ((~(v90(constB153, bitIndex1) <=> v90(constB152, bitIndex1))) | (~v90(constB153, bitIndex1)) | v90(constB152, bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22246,plain,
% 8.99/6.57 (~v90(constB153, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22245, 22244, 22219])).
% 8.99/6.57 tff(22247,plain,
% 8.99/6.57 ((~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))) | (~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22248,plain,
% 8.99/6.57 (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22247, 22246, 22215, 22184])).
% 8.99/6.57 tff(22249,plain,
% 8.99/6.57 ((~(v123(constB153) <=> (~((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))))) | v123(constB153) | ((~v90(constB153, bitIndex2)) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22250,plain,
% 8.99/6.57 (v123(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22249, 22248, 2608])).
% 8.99/6.57 tff(22251,plain,
% 8.99/6.57 ((v116(constB153) | v123(constB153)) | (~v123(constB153))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22252,plain,
% 8.99/6.57 (v116(constB153) | v123(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22251, 22250])).
% 8.99/6.57 tff(22253,plain,
% 8.99/6.57 ((~(v115(constB153) <=> (v116(constB153) | v123(constB153)))) | v115(constB153) | (~(v116(constB153) | v123(constB153)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22254,plain,
% 8.99/6.57 (v115(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22253, 22252, 2601])).
% 8.99/6.57 tff(22255,plain,
% 8.99/6.57 ((v115(constB153) | v124(constB153)) | (~v115(constB153))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22256,plain,
% 8.99/6.57 (v115(constB153) | v124(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22255, 22254])).
% 8.99/6.57 tff(22257,plain,
% 8.99/6.57 ((~(v114(constB153) <=> (v115(constB153) | v124(constB153)))) | v114(constB153) | (~(v115(constB153) | v124(constB153)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22258,plain,
% 8.99/6.57 (v114(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22257, 22256, 2599])).
% 8.99/6.57 tff(22259,plain,
% 8.99/6.57 ((v114(constB153) | v125(constB153)) | (~v114(constB153))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22260,plain,
% 8.99/6.57 (v114(constB153) | v125(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22259, 22258])).
% 8.99/6.57 tff(22261,plain,
% 8.99/6.57 ((~(v113(constB153) <=> (v114(constB153) | v125(constB153)))) | v113(constB153) | (~(v114(constB153) | v125(constB153)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22262,plain,
% 8.99/6.57 (v113(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22261, 22260, 2597])).
% 8.99/6.57 tff(22263,plain,
% 8.99/6.57 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB153)) <=> v111(constB153))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22264,plain,
% 8.99/6.57 ((~v126(constB153)) <=> v111(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22263, 9720])).
% 8.99/6.57 tff(22265,plain,
% 8.99/6.57 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB153) <=> v26(constB153))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22266,plain,
% 8.99/6.57 (v111(constB153) <=> v26(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22265, 9732])).
% 8.99/6.57 tff(22267,plain,
% 8.99/6.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22268,plain,
% 8.99/6.57 (~v26(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22267, 9744])).
% 8.99/6.57 tff(22269,plain,
% 8.99/6.57 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153)) | v26(constB153)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22270,plain,
% 8.99/6.57 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22269, 22268])).
% 8.99/6.57 tff(22271,plain,
% 8.99/6.57 (~v111(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22270, 22266])).
% 8.99/6.57 tff(22272,plain,
% 8.99/6.57 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153) | v111(constB153)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22273,plain,
% 8.99/6.57 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22272, 22271])).
% 8.99/6.57 tff(22274,plain,
% 8.99/6.57 (v126(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22273, 22264])).
% 8.99/6.57 tff(22275,plain,
% 8.99/6.57 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153)) | (~v126(constB153))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22276,plain,
% 8.99/6.57 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22275, 22274])).
% 8.99/6.57 tff(22277,plain,
% 8.99/6.57 (~((~v113(constB153)) | (~v126(constB153)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22276, 22262])).
% 8.99/6.57 tff(22278,plain,
% 8.99/6.57 ((~(v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))) | v112(constB153) | ((~v113(constB153)) | (~v126(constB153)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22279,plain,
% 8.99/6.57 (v112(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22278, 22277, 2595])).
% 8.99/6.57 tff(22280,plain,
% 8.99/6.57 ((v111(constB153) | v112(constB153)) | (~v112(constB153))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22281,plain,
% 8.99/6.57 (v111(constB153) | v112(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22280, 22279])).
% 8.99/6.57 tff(22282,plain,
% 8.99/6.57 ((~(v108(constB153) <=> (v111(constB153) | v112(constB153)))) | v108(constB153) | (~(v111(constB153) | v112(constB153)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22283,plain,
% 8.99/6.57 (v108(constB153)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22282, 22281, 2593])).
% 8.99/6.57 tff(22284,plain,
% 8.99/6.57 ((~(v110(constB154) <=> v108(constB153))) | v110(constB154) | (~v108(constB153))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22285,plain,
% 8.99/6.57 (v110(constB154)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22284, 22283, 2591])).
% 8.99/6.57 tff(22286,plain,
% 8.99/6.57 ((~((~v101(constB154)) | (~v110(constB154)))) | (~v101(constB154)) | (~v110(constB154))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22287,plain,
% 8.99/6.57 (~((~v101(constB154)) | (~v110(constB154)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22286, 22285, 2587])).
% 8.99/6.57 tff(22288,plain,
% 8.99/6.57 ((~(v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))) | v100(constB154) | ((~v101(constB154)) | (~v110(constB154)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22289,plain,
% 8.99/6.57 (v100(constB154)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22288, 22287, 2556])).
% 8.99/6.57 tff(22290,plain,
% 8.99/6.57 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B))))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22291,plain,
% 8.99/6.57 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B))))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22292,plain,
% 8.99/6.57 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22291, 22290])).
% 8.99/6.57 tff(22293,plain,
% 8.99/6.57 ((~v100(constB154)) | ![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22292, 9780])).
% 8.99/6.57 tff(22294,plain,
% 8.99/6.57 (![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22293, 22289])).
% 8.99/6.57 tff(22295,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22296,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22297,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex2)) | (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22296, 22295])).
% 8.99/6.57 tff(22298,plain,
% 8.99/6.57 (v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22297, 648, 22294])).
% 8.99/6.57 tff(22299,plain,
% 8.99/6.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B))))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22300,plain,
% 8.99/6.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B))))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22301,plain,
% 8.99/6.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22300, 22299])).
% 8.99/6.57 tff(22302,plain,
% 8.99/6.57 (![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22301, 2552, 9802])).
% 8.99/6.57 tff(22303,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22304,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22305,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex2)) | (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22304, 22303])).
% 8.99/6.57 tff(22306,plain,
% 8.99/6.57 (v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22305, 648, 22302])).
% 8.99/6.57 tff(22307,plain,
% 8.99/6.57 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB153) | ![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB153) | ![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B))))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22308,plain,
% 8.99/6.57 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB153) | ![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B))))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22309,plain,
% 8.99/6.57 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB153) | ![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22308, 22307])).
% 8.99/6.57 tff(22310,plain,
% 8.99/6.57 (![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22309, 9823, 22271])).
% 8.99/6.57 tff(22311,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22312,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22313,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex2)) | (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22312, 22311])).
% 8.99/6.57 tff(22314,plain,
% 8.99/6.57 (v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22313, 648, 22310])).
% 8.99/6.57 tff(22315,plain,
% 8.99/6.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B))))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22316,plain,
% 8.99/6.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B))))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22317,plain,
% 8.99/6.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 8.99/6.57 tff(22318,plain,
% 8.99/6.57 ((~v123(constB153)) | ![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22317, 10555])).
% 8.99/6.57 tff(22319,plain,
% 8.99/6.57 (![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22318, 22250])).
% 8.99/6.57 tff(22320,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b101(bitIndex2)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22321,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b101(bitIndex2)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22322,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB153, bitIndex2) <=> b101(bitIndex2))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22321, 22320])).
% 8.99/6.57 tff(22323,plain,
% 8.99/6.57 (v130(constB153, bitIndex2) <=> b101(bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22322, 648, 22319])).
% 8.99/6.57 tff(22324,plain,
% 8.99/6.57 ((~(v130(constB153, bitIndex2) <=> b101(bitIndex2))) | v130(constB153, bitIndex2) | (~b101(bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22325,plain,
% 8.99/6.57 ((~(v130(constB153, bitIndex2) <=> b101(bitIndex2))) | v130(constB153, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22324, 10567])).
% 8.99/6.57 tff(22326,plain,
% 8.99/6.57 (v130(constB153, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22325, 22323])).
% 8.99/6.57 tff(22327,plain,
% 8.99/6.57 ((~(v127(constB153, bitIndex2) <=> v130(constB153, bitIndex2))) | v127(constB153, bitIndex2) | (~v130(constB153, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22328,plain,
% 8.99/6.57 (v127(constB153, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22327, 22326, 22314])).
% 8.99/6.57 tff(22329,plain,
% 8.99/6.57 ((~(v129(constB154, bitIndex2) <=> v127(constB153, bitIndex2))) | v129(constB154, bitIndex2) | (~v127(constB153, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22330,plain,
% 8.99/6.57 (v129(constB154, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22329, 22328, 22306])).
% 8.99/6.57 tff(22331,plain,
% 8.99/6.57 ((~(v90(constB154, bitIndex2) <=> v129(constB154, bitIndex2))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22332,plain,
% 8.99/6.57 (v90(constB154, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22331, 22330, 22298])).
% 8.99/6.57 tff(22333,plain,
% 8.99/6.57 ((~(v90(constB155, bitIndex2) <=> v90(constB154, bitIndex2))) | v90(constB155, bitIndex2) | (~v90(constB154, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22334,plain,
% 8.99/6.57 (v90(constB155, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22333, 22332, 2549])).
% 8.99/6.57 tff(22335,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22336,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22337,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22336, 22335])).
% 8.99/6.57 tff(22338,plain,
% 8.99/6.57 (v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22337, 9653, 2545])).
% 8.99/6.57 tff(22339,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22340,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22341,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex0)) | (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22340, 22339])).
% 8.99/6.57 tff(22342,plain,
% 8.99/6.57 (v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22341, 9653, 22294])).
% 8.99/6.57 tff(22343,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22344,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22345,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex0)) | (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22344, 22343])).
% 8.99/6.57 tff(22346,plain,
% 8.99/6.57 (v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22345, 9653, 22302])).
% 8.99/6.57 tff(22347,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22348,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22349,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex0)) | (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22348, 22347])).
% 8.99/6.57 tff(22350,plain,
% 8.99/6.57 (v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22349, 9653, 22310])).
% 8.99/6.57 tff(22351,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b101(bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(22352,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b101(bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(22353,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB153, bitIndex0) <=> b101(bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[22352, 22351])).
% 8.99/6.57 tff(22354,plain,
% 8.99/6.57 (v130(constB153, bitIndex0) <=> b101(bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22353, 9653, 22319])).
% 8.99/6.57 tff(22355,plain,
% 8.99/6.57 ((~(v130(constB153, bitIndex0) <=> b101(bitIndex0))) | v130(constB153, bitIndex0) | (~b101(bitIndex0))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22356,plain,
% 8.99/6.57 ((~(v130(constB153, bitIndex0) <=> b101(bitIndex0))) | v130(constB153, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22355, 10601])).
% 8.99/6.57 tff(22357,plain,
% 8.99/6.57 (v130(constB153, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22356, 22354])).
% 8.99/6.57 tff(22358,plain,
% 8.99/6.57 ((~(v127(constB153, bitIndex0) <=> v130(constB153, bitIndex0))) | v127(constB153, bitIndex0) | (~v130(constB153, bitIndex0))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22359,plain,
% 8.99/6.57 (v127(constB153, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22358, 22357, 22350])).
% 8.99/6.57 tff(22360,plain,
% 8.99/6.57 ((~(v129(constB154, bitIndex0) <=> v127(constB153, bitIndex0))) | v129(constB154, bitIndex0) | (~v127(constB153, bitIndex0))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22361,plain,
% 8.99/6.57 (v129(constB154, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22360, 22359, 22346])).
% 8.99/6.57 tff(22362,plain,
% 8.99/6.57 ((~(v90(constB154, bitIndex0) <=> v129(constB154, bitIndex0))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22363,plain,
% 8.99/6.57 (v90(constB154, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22362, 22361, 22342])).
% 8.99/6.57 tff(22364,plain,
% 8.99/6.57 ((~(v90(constB155, bitIndex0) <=> v90(constB154, bitIndex0))) | v90(constB155, bitIndex0) | (~v90(constB154, bitIndex0))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(22365,plain,
% 8.99/6.57 (v90(constB155, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[22364, 22363, 22338])).
% 8.99/6.57 tff(22366,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22367,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22368,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB155, B) <=> v90(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22367, 22366])).
% 8.99/6.58 tff(22369,plain,
% 8.99/6.58 (v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22368, 375, 2545])).
% 8.99/6.58 tff(22370,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22371,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | ((~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22372,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB154, B) <=> v129(constB154, B)))) | (~less_3(bitIndex1)) | (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22371, 22370])).
% 8.99/6.58 tff(22373,plain,
% 8.99/6.58 (v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22372, 375, 22294])).
% 8.99/6.58 tff(22374,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22375,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | ((~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22376,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB154, B) <=> v127(constB153, B)))) | (~less_3(bitIndex1)) | (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22375, 22374])).
% 8.99/6.58 tff(22377,plain,
% 8.99/6.58 (v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22376, 375, 22302])).
% 8.99/6.58 tff(22378,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22379,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | ((~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22380,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB153, B) <=> v130(constB153, B)))) | (~less_3(bitIndex1)) | (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22379, 22378])).
% 8.99/6.58 tff(22381,plain,
% 8.99/6.58 (v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22380, 375, 22310])).
% 8.99/6.58 tff(22382,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b101(bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22383,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b101(bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22384,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB153, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB153, bitIndex1) <=> b101(bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22383, 22382])).
% 8.99/6.58 tff(22385,plain,
% 8.99/6.58 (v130(constB153, bitIndex1) <=> b101(bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22384, 375, 22319])).
% 8.99/6.58 tff(22386,plain,
% 8.99/6.58 ((~(v130(constB153, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB153, bitIndex1)) | b101(bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22387,plain,
% 8.99/6.58 ((~(v130(constB153, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB153, bitIndex1))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22386, 10635])).
% 8.99/6.58 tff(22388,plain,
% 8.99/6.58 (~v130(constB153, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22387, 22385])).
% 8.99/6.58 tff(22389,plain,
% 8.99/6.58 ((~(v127(constB153, bitIndex1) <=> v130(constB153, bitIndex1))) | (~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22390,plain,
% 8.99/6.58 (~v127(constB153, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22389, 22388, 22381])).
% 8.99/6.58 tff(22391,plain,
% 8.99/6.58 ((~(v129(constB154, bitIndex1) <=> v127(constB153, bitIndex1))) | (~v129(constB154, bitIndex1)) | v127(constB153, bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22392,plain,
% 8.99/6.58 (~v129(constB154, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22391, 22390, 22377])).
% 8.99/6.58 tff(22393,plain,
% 8.99/6.58 ((~(v90(constB154, bitIndex1) <=> v129(constB154, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22394,plain,
% 8.99/6.58 (~v90(constB154, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22393, 22392, 22373])).
% 8.99/6.58 tff(22395,plain,
% 8.99/6.58 ((~(v90(constB155, bitIndex1) <=> v90(constB154, bitIndex1))) | (~v90(constB155, bitIndex1)) | v90(constB154, bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22396,plain,
% 8.99/6.58 (~v90(constB155, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22395, 22394, 22369])).
% 8.99/6.58 tff(22397,plain,
% 8.99/6.58 ((~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))) | (~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22398,plain,
% 8.99/6.58 (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22397, 22396, 22365, 22334])).
% 8.99/6.58 tff(22399,plain,
% 8.99/6.58 ((~(v124(constB155) <=> (~((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))))) | v124(constB155) | ((~v90(constB155, bitIndex2)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22400,plain,
% 8.99/6.58 (v124(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22399, 22398, 2517])).
% 8.99/6.58 tff(22401,plain,
% 8.99/6.58 ((v115(constB155) | v124(constB155)) | (~v124(constB155))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22402,plain,
% 8.99/6.58 (v115(constB155) | v124(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22401, 22400])).
% 8.99/6.58 tff(22403,plain,
% 8.99/6.58 ((~(v114(constB155) <=> (v115(constB155) | v124(constB155)))) | v114(constB155) | (~(v115(constB155) | v124(constB155)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22404,plain,
% 8.99/6.58 (v114(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22403, 22402, 2510])).
% 8.99/6.58 tff(22405,plain,
% 8.99/6.58 ((v114(constB155) | v125(constB155)) | (~v114(constB155))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22406,plain,
% 8.99/6.58 (v114(constB155) | v125(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22405, 22404])).
% 8.99/6.58 tff(22407,plain,
% 8.99/6.58 ((~(v113(constB155) <=> (v114(constB155) | v125(constB155)))) | v113(constB155) | (~(v114(constB155) | v125(constB155)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22408,plain,
% 8.99/6.58 (v113(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22407, 22406, 2508])).
% 8.99/6.58 tff(22409,plain,
% 8.99/6.58 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB155)) <=> v111(constB155))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22410,plain,
% 8.99/6.58 ((~v126(constB155)) <=> v111(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22409, 9720])).
% 8.99/6.58 tff(22411,plain,
% 8.99/6.58 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB155) <=> v26(constB155))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22412,plain,
% 8.99/6.58 (v111(constB155) <=> v26(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22411, 9732])).
% 8.99/6.58 tff(22413,plain,
% 8.99/6.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22414,plain,
% 8.99/6.58 (~v26(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22413, 9744])).
% 8.99/6.58 tff(22415,plain,
% 8.99/6.58 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155)) | v26(constB155)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22416,plain,
% 8.99/6.58 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22415, 22414])).
% 8.99/6.58 tff(22417,plain,
% 8.99/6.58 (~v111(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22416, 22412])).
% 8.99/6.58 tff(22418,plain,
% 8.99/6.58 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155) | v111(constB155)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22419,plain,
% 8.99/6.58 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22418, 22417])).
% 8.99/6.58 tff(22420,plain,
% 8.99/6.58 (v126(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22419, 22410])).
% 8.99/6.58 tff(22421,plain,
% 8.99/6.58 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155)) | (~v126(constB155))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22422,plain,
% 8.99/6.58 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22421, 22420])).
% 8.99/6.58 tff(22423,plain,
% 8.99/6.58 (~((~v113(constB155)) | (~v126(constB155)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22422, 22408])).
% 8.99/6.58 tff(22424,plain,
% 8.99/6.58 ((~(v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))) | v112(constB155) | ((~v113(constB155)) | (~v126(constB155)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22425,plain,
% 8.99/6.58 (v112(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22424, 22423, 2506])).
% 8.99/6.58 tff(22426,plain,
% 8.99/6.58 ((v111(constB155) | v112(constB155)) | (~v112(constB155))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22427,plain,
% 8.99/6.58 (v111(constB155) | v112(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22426, 22425])).
% 8.99/6.58 tff(22428,plain,
% 8.99/6.58 ((~(v108(constB155) <=> (v111(constB155) | v112(constB155)))) | v108(constB155) | (~(v111(constB155) | v112(constB155)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22429,plain,
% 8.99/6.58 (v108(constB155)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22428, 22427, 2504])).
% 8.99/6.58 tff(22430,plain,
% 8.99/6.58 ((~(v110(constB156) <=> v108(constB155))) | v110(constB156) | (~v108(constB155))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22431,plain,
% 8.99/6.58 (v110(constB156)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22430, 22429, 2502])).
% 8.99/6.58 tff(22432,plain,
% 8.99/6.58 ((~((~v101(constB156)) | (~v110(constB156)))) | (~v101(constB156)) | (~v110(constB156))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22433,plain,
% 8.99/6.58 (~((~v101(constB156)) | (~v110(constB156)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22432, 22431, 2498])).
% 8.99/6.58 tff(22434,plain,
% 8.99/6.58 ((~(v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))) | v100(constB156) | ((~v101(constB156)) | (~v110(constB156)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22435,plain,
% 8.99/6.58 (v100(constB156)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22434, 22433, 2467])).
% 8.99/6.58 tff(22436,plain,
% 8.99/6.58 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B))))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22437,plain,
% 8.99/6.58 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B))))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22438,plain,
% 8.99/6.58 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22437, 22436])).
% 8.99/6.58 tff(22439,plain,
% 8.99/6.58 ((~v100(constB156)) | ![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22438, 9780])).
% 8.99/6.58 tff(22440,plain,
% 8.99/6.58 (![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22439, 22435])).
% 8.99/6.58 tff(22441,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22442,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22443,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex2)) | (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22442, 22441])).
% 8.99/6.58 tff(22444,plain,
% 8.99/6.58 (v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22443, 648, 22440])).
% 8.99/6.58 tff(22445,plain,
% 8.99/6.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B))))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22446,plain,
% 8.99/6.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B))))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22447,plain,
% 8.99/6.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22446, 22445])).
% 8.99/6.58 tff(22448,plain,
% 8.99/6.58 (![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22447, 2463, 9802])).
% 8.99/6.58 tff(22449,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22450,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22451,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex2)) | (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22450, 22449])).
% 8.99/6.58 tff(22452,plain,
% 8.99/6.58 (v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22451, 648, 22448])).
% 8.99/6.58 tff(22453,plain,
% 8.99/6.58 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB155) | ![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB155) | ![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B))))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22454,plain,
% 8.99/6.58 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB155) | ![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B))))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22455,plain,
% 8.99/6.58 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB155) | ![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22454, 22453])).
% 8.99/6.58 tff(22456,plain,
% 8.99/6.58 (![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22455, 9823, 22417])).
% 8.99/6.58 tff(22457,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22458,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22459,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex2)) | (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 8.99/6.58 tff(22460,plain,
% 8.99/6.58 (v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22459, 648, 22456])).
% 8.99/6.58 tff(22461,plain,
% 8.99/6.58 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB155)) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB155)) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B))))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22462,plain,
% 8.99/6.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB155)) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B))))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22463,plain,
% 8.99/6.58 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB155)) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 8.99/6.58 tff(22464,plain,
% 8.99/6.58 ((~v124(constB155)) | ![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22463, 10723])).
% 8.99/6.58 tff(22465,plain,
% 8.99/6.58 (![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22464, 22400])).
% 8.99/6.58 tff(22466,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b110(bitIndex2)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22467,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b110(bitIndex2)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22468,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB155, bitIndex2) <=> b110(bitIndex2))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22467, 22466])).
% 8.99/6.58 tff(22469,plain,
% 8.99/6.58 (v130(constB155, bitIndex2) <=> b110(bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22468, 648, 22465])).
% 8.99/6.58 tff(22470,plain,
% 8.99/6.58 ((~(v130(constB155, bitIndex2) <=> b110(bitIndex2))) | v130(constB155, bitIndex2) | (~b110(bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22471,plain,
% 8.99/6.58 ((~(v130(constB155, bitIndex2) <=> b110(bitIndex2))) | v130(constB155, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22470, 10735])).
% 8.99/6.58 tff(22472,plain,
% 8.99/6.58 (v130(constB155, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22471, 22469])).
% 8.99/6.58 tff(22473,plain,
% 8.99/6.58 ((~(v127(constB155, bitIndex2) <=> v130(constB155, bitIndex2))) | v127(constB155, bitIndex2) | (~v130(constB155, bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22474,plain,
% 8.99/6.58 (v127(constB155, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22473, 22472, 22460])).
% 8.99/6.58 tff(22475,plain,
% 8.99/6.58 ((~(v129(constB156, bitIndex2) <=> v127(constB155, bitIndex2))) | v129(constB156, bitIndex2) | (~v127(constB155, bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22476,plain,
% 8.99/6.58 (v129(constB156, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22475, 22474, 22452])).
% 8.99/6.58 tff(22477,plain,
% 8.99/6.58 ((~(v90(constB156, bitIndex2) <=> v129(constB156, bitIndex2))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22478,plain,
% 8.99/6.58 (v90(constB156, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22477, 22476, 22444])).
% 8.99/6.58 tff(22479,plain,
% 8.99/6.58 ((~(v90(constB157, bitIndex2) <=> v90(constB156, bitIndex2))) | v90(constB157, bitIndex2) | (~v90(constB156, bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22480,plain,
% 8.99/6.58 (v90(constB157, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22479, 22478, 2460])).
% 8.99/6.58 tff(22481,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22482,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22483,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22482, 22481])).
% 8.99/6.58 tff(22484,plain,
% 8.99/6.58 (v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22483, 9653, 2456])).
% 8.99/6.58 tff(22485,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22486,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22487,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex0)) | (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22486, 22485])).
% 8.99/6.58 tff(22488,plain,
% 8.99/6.58 (v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22487, 9653, 22440])).
% 8.99/6.58 tff(22489,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22490,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22491,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex0)) | (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22490, 22489])).
% 8.99/6.58 tff(22492,plain,
% 8.99/6.58 (v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22491, 9653, 22448])).
% 8.99/6.58 tff(22493,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22494,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22495,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex0)) | (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22494, 22493])).
% 8.99/6.58 tff(22496,plain,
% 8.99/6.58 (v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22495, 9653, 22456])).
% 8.99/6.58 tff(22497,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b110(bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22498,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b110(bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22499,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB155, bitIndex0) <=> b110(bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22498, 22497])).
% 8.99/6.58 tff(22500,plain,
% 8.99/6.58 (v130(constB155, bitIndex0) <=> b110(bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22499, 9653, 22465])).
% 8.99/6.58 tff(22501,plain,
% 8.99/6.58 ((~(v130(constB155, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB155, bitIndex0)) | b110(bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22502,plain,
% 8.99/6.58 ((~(v130(constB155, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB155, bitIndex0))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22501, 10769])).
% 8.99/6.58 tff(22503,plain,
% 8.99/6.58 (~v130(constB155, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22502, 22500])).
% 8.99/6.58 tff(22504,plain,
% 8.99/6.58 ((~(v127(constB155, bitIndex0) <=> v130(constB155, bitIndex0))) | (~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22505,plain,
% 8.99/6.58 (~v127(constB155, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22504, 22503, 22496])).
% 8.99/6.58 tff(22506,plain,
% 8.99/6.58 ((~(v129(constB156, bitIndex0) <=> v127(constB155, bitIndex0))) | (~v129(constB156, bitIndex0)) | v127(constB155, bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22507,plain,
% 8.99/6.58 (~v129(constB156, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22506, 22505, 22492])).
% 8.99/6.58 tff(22508,plain,
% 8.99/6.58 ((~(v90(constB156, bitIndex0) <=> v129(constB156, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22509,plain,
% 8.99/6.58 (~v90(constB156, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22508, 22507, 22488])).
% 8.99/6.58 tff(22510,plain,
% 8.99/6.58 ((~(v90(constB157, bitIndex0) <=> v90(constB156, bitIndex0))) | (~v90(constB157, bitIndex0)) | v90(constB156, bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(22511,plain,
% 8.99/6.58 (~v90(constB157, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22510, 22509, 22484])).
% 8.99/6.58 tff(22512,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22513,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22514,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB157, B) <=> v90(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22513, 22512])).
% 8.99/6.58 tff(22515,plain,
% 8.99/6.58 (v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22514, 375, 2456])).
% 8.99/6.58 tff(22516,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22517,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | ((~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22518,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v90(constB156, B) <=> v129(constB156, B)))) | (~less_3(bitIndex1)) | (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22517, 22516])).
% 8.99/6.58 tff(22519,plain,
% 8.99/6.58 (v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22518, 375, 22440])).
% 8.99/6.58 tff(22520,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22521,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | ((~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22522,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v129(constB156, B) <=> v127(constB155, B)))) | (~less_3(bitIndex1)) | (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22521, 22520])).
% 8.99/6.58 tff(22523,plain,
% 8.99/6.58 (v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[22522, 375, 22448])).
% 8.99/6.58 tff(22524,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(22525,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | ((~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(22526,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v127(constB155, B) <=> v130(constB155, B)))) | (~less_3(bitIndex1)) | (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[22525, 22524])).
% 8.99/6.58 tff(22527,plain,
% 8.99/6.58 (v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22526, 375, 22456])).
% 8.99/6.59 tff(22528,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b110(bitIndex1)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22529,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b110(bitIndex1)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22530,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v130(constB155, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB155, bitIndex1) <=> b110(bitIndex1))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22529, 22528])).
% 8.99/6.59 tff(22531,plain,
% 8.99/6.59 (v130(constB155, bitIndex1) <=> b110(bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22530, 375, 22465])).
% 8.99/6.59 tff(22532,plain,
% 8.99/6.59 ((~(v130(constB155, bitIndex1) <=> b110(bitIndex1))) | v130(constB155, bitIndex1) | (~b110(bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22533,plain,
% 8.99/6.59 ((~(v130(constB155, bitIndex1) <=> b110(bitIndex1))) | v130(constB155, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22532, 10803])).
% 8.99/6.59 tff(22534,plain,
% 8.99/6.59 (v130(constB155, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22533, 22531])).
% 8.99/6.59 tff(22535,plain,
% 8.99/6.59 ((~(v127(constB155, bitIndex1) <=> v130(constB155, bitIndex1))) | v127(constB155, bitIndex1) | (~v130(constB155, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22536,plain,
% 8.99/6.59 (v127(constB155, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22535, 22534, 22527])).
% 8.99/6.59 tff(22537,plain,
% 8.99/6.59 ((~(v129(constB156, bitIndex1) <=> v127(constB155, bitIndex1))) | v129(constB156, bitIndex1) | (~v127(constB155, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22538,plain,
% 8.99/6.59 (v129(constB156, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22537, 22536, 22523])).
% 8.99/6.59 tff(22539,plain,
% 8.99/6.59 ((~(v90(constB156, bitIndex1) <=> v129(constB156, bitIndex1))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22540,plain,
% 8.99/6.59 (v90(constB156, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22539, 22538, 22519])).
% 8.99/6.59 tff(22541,plain,
% 8.99/6.59 ((~(v90(constB157, bitIndex1) <=> v90(constB156, bitIndex1))) | v90(constB157, bitIndex1) | (~v90(constB156, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22542,plain,
% 8.99/6.59 (v90(constB157, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22541, 22540, 22515])).
% 8.99/6.59 tff(22543,plain,
% 8.99/6.59 ((~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22544,plain,
% 8.99/6.59 (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22543, 22542, 22511, 22480])).
% 8.99/6.59 tff(22545,plain,
% 8.99/6.59 ((~(v125(constB157) <=> (~((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))) | v125(constB157) | ((~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22546,plain,
% 8.99/6.59 (v125(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22545, 22544, 2428])).
% 8.99/6.59 tff(22547,plain,
% 8.99/6.59 ((v114(constB157) | v125(constB157)) | (~v125(constB157))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22548,plain,
% 8.99/6.59 (v114(constB157) | v125(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22547, 22546])).
% 8.99/6.59 tff(22549,plain,
% 8.99/6.59 ((~(v113(constB157) <=> (v114(constB157) | v125(constB157)))) | v113(constB157) | (~(v114(constB157) | v125(constB157)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22550,plain,
% 8.99/6.59 (v113(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22549, 22548, 2421])).
% 8.99/6.59 tff(22551,plain,
% 8.99/6.59 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB157)) <=> v111(constB157))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22552,plain,
% 8.99/6.59 ((~v126(constB157)) <=> v111(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22551, 9720])).
% 8.99/6.59 tff(22553,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB157) <=> v26(constB157))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22554,plain,
% 8.99/6.59 (v111(constB157) <=> v26(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22553, 9732])).
% 8.99/6.59 tff(22555,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22556,plain,
% 8.99/6.59 (~v26(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22555, 9744])).
% 8.99/6.59 tff(22557,plain,
% 8.99/6.59 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157)) | v26(constB157)),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22558,plain,
% 8.99/6.59 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22557, 22556])).
% 8.99/6.59 tff(22559,plain,
% 8.99/6.59 (~v111(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22558, 22554])).
% 8.99/6.59 tff(22560,plain,
% 8.99/6.59 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157) | v111(constB157)),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22561,plain,
% 8.99/6.59 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22560, 22559])).
% 8.99/6.59 tff(22562,plain,
% 8.99/6.59 (v126(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22561, 22552])).
% 8.99/6.59 tff(22563,plain,
% 8.99/6.59 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157)) | (~v126(constB157))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22564,plain,
% 8.99/6.59 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22563, 22562])).
% 8.99/6.59 tff(22565,plain,
% 8.99/6.59 (~((~v113(constB157)) | (~v126(constB157)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22564, 22550])).
% 8.99/6.59 tff(22566,plain,
% 8.99/6.59 ((~(v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))) | v112(constB157) | ((~v113(constB157)) | (~v126(constB157)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22567,plain,
% 8.99/6.59 (v112(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22566, 22565, 2419])).
% 8.99/6.59 tff(22568,plain,
% 8.99/6.59 ((v111(constB157) | v112(constB157)) | (~v112(constB157))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22569,plain,
% 8.99/6.59 (v111(constB157) | v112(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22568, 22567])).
% 8.99/6.59 tff(22570,plain,
% 8.99/6.59 ((~(v108(constB157) <=> (v111(constB157) | v112(constB157)))) | v108(constB157) | (~(v111(constB157) | v112(constB157)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22571,plain,
% 8.99/6.59 (v108(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22570, 22569, 2417])).
% 8.99/6.59 tff(22572,plain,
% 8.99/6.59 ((~(v110(constB158) <=> v108(constB157))) | v110(constB158) | (~v108(constB157))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22573,plain,
% 8.99/6.59 (v110(constB158)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22572, 22571, 2415])).
% 8.99/6.59 tff(22574,plain,
% 8.99/6.59 ((~((~v101(constB158)) | (~v110(constB158)))) | (~v101(constB158)) | (~v110(constB158))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22575,plain,
% 8.99/6.59 (~((~v101(constB158)) | (~v110(constB158)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22574, 22573, 2411])).
% 8.99/6.59 tff(22576,plain,
% 8.99/6.59 ((~(v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))) | v100(constB158) | ((~v101(constB158)) | (~v110(constB158)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22577,plain,
% 8.99/6.59 (v100(constB158)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22576, 22575, 2380])).
% 8.99/6.59 tff(22578,plain,
% 8.99/6.59 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22579,plain,
% 8.99/6.59 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22580,plain,
% 8.99/6.59 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22579, 22578])).
% 8.99/6.59 tff(22581,plain,
% 8.99/6.59 ((~v100(constB158)) | ![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22580, 9780])).
% 8.99/6.59 tff(22582,plain,
% 8.99/6.59 (![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22581, 22577])).
% 8.99/6.59 tff(22583,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22584,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22585,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex2)) | (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22584, 22583])).
% 8.99/6.59 tff(22586,plain,
% 8.99/6.59 (v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22585, 648, 22582])).
% 8.99/6.59 tff(22587,plain,
% 8.99/6.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22588,plain,
% 8.99/6.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22589,plain,
% 8.99/6.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22588, 22587])).
% 8.99/6.59 tff(22590,plain,
% 8.99/6.59 (![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22589, 2376, 9802])).
% 8.99/6.59 tff(22591,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22592,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22593,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex2)) | (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 8.99/6.59 tff(22594,plain,
% 8.99/6.59 (v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22593, 648, 22590])).
% 8.99/6.59 tff(22595,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB157) | ![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB157) | ![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22596,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB157) | ![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22597,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB157) | ![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22596, 22595])).
% 8.99/6.59 tff(22598,plain,
% 8.99/6.59 (![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22597, 9823, 22559])).
% 8.99/6.59 tff(22599,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22600,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22601,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex2)) | (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22600, 22599])).
% 8.99/6.59 tff(22602,plain,
% 8.99/6.59 (v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22601, 648, 22598])).
% 8.99/6.59 tff(22603,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22604,plain,
% 8.99/6.59 (v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22603, 9620])).
% 8.99/6.59 tff(22605,plain,
% 8.99/6.59 ((v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex2))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22606,plain,
% 8.99/6.59 (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22605, 22480])).
% 8.99/6.59 tff(22607,plain,
% 8.99/6.59 ((~(v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))))) | (~v119(constB157)) | (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22608,plain,
% 8.99/6.59 (~v119(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22607, 22606, 22604])).
% 8.99/6.59 tff(22609,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22610,plain,
% 8.99/6.59 ((v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2))))) <=> (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22611,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[22610])).
% 8.99/6.59 tff(22612,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(transitivity,[status(thm)],[22611, 22609])).
% 8.99/6.59 tff(22613,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22614,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22613, 22612])).
% 8.99/6.59 tff(22615,plain,
% 8.99/6.59 (v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22614, 815])).
% 8.99/6.59 tff(22616,plain,
% 8.99/6.59 (((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22617,plain,
% 8.99/6.59 ((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22616, 22542])).
% 8.99/6.59 tff(22618,plain,
% 8.99/6.59 ((~(v124(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))) | (~v124(constB157)) | (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22619,plain,
% 8.99/6.59 (~v124(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22618, 22617, 22615])).
% 8.99/6.59 tff(22620,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22621,plain,
% 8.99/6.59 ((v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2))))) <=> (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22622,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[22621])).
% 8.99/6.59 tff(22623,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(transitivity,[status(thm)],[22622, 22620])).
% 8.99/6.59 tff(22624,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22625,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0))))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22624, 22623])).
% 8.99/6.59 tff(22626,plain,
% 8.99/6.59 (v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22625, 919])).
% 8.99/6.59 tff(22627,plain,
% 8.99/6.59 (((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22628,plain,
% 8.99/6.59 ((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22627, 22542])).
% 8.99/6.59 tff(22629,plain,
% 8.99/6.59 ((~(v123(constB157) <=> (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0))))) | (~v123(constB157)) | (~((~v90(constB157, bitIndex2)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex0)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22630,plain,
% 8.99/6.59 (~v123(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22629, 22628, 22626])).
% 8.99/6.59 tff(22631,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22632,plain,
% 8.99/6.59 ((v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1))))) <=> (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22633,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[22632])).
% 8.99/6.59 tff(22634,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(transitivity,[status(thm)],[22633, 22631])).
% 8.99/6.59 tff(22635,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22636,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22635, 22634])).
% 8.99/6.59 tff(22637,plain,
% 8.99/6.59 (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22636, 1025])).
% 8.99/6.59 tff(22638,plain,
% 8.99/6.59 ((v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex2))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22639,plain,
% 8.99/6.59 (v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22638, 22480])).
% 8.99/6.59 tff(22640,plain,
% 8.99/6.59 ((~(v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))) | (~v122(constB157)) | (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22641,plain,
% 8.99/6.59 (~v122(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22640, 22639, 22637])).
% 8.99/6.59 tff(22642,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22643,plain,
% 8.99/6.59 ((v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1))))) <=> (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22644,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[22643])).
% 8.99/6.59 tff(22645,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(transitivity,[status(thm)],[22644, 22642])).
% 8.99/6.59 tff(22646,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22647,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[22646, 22645])).
% 8.99/6.59 tff(22648,plain,
% 8.99/6.59 (v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22647, 1133])).
% 8.99/6.59 tff(22649,plain,
% 8.99/6.59 ((v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22650,plain,
% 8.99/6.59 (v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22649, 22480])).
% 8.99/6.59 tff(22651,plain,
% 8.99/6.59 ((~(v121(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0))))) | (~v121(constB157)) | (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex0)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(22652,plain,
% 8.99/6.59 (~v121(constB157)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[22651, 22650, 22648])).
% 8.99/6.59 tff(22653,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22654,plain,
% 8.99/6.59 ((v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))))) <=> (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(22655,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[22654])).
% 8.99/6.59 tff(22656,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))))),
% 8.99/6.59 inference(transitivity,[status(thm)],[22655, 22653])).
% 8.99/6.59 tff(22657,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(22658,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 8.99/6.60 tff(22659,plain,
% 8.99/6.60 (v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22658, 610])).
% 8.99/6.60 tff(22660,plain,
% 8.99/6.60 ((v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex2))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22661,plain,
% 8.99/6.60 (v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22660, 22480])).
% 8.99/6.60 tff(22662,plain,
% 8.99/6.60 ((~(v120(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)))))) | (~v120(constB157)) | (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0))))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22663,plain,
% 8.99/6.60 (~v120(constB157)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22662, 22661, 22659])).
% 8.99/6.60 tff(22664,plain,
% 8.99/6.60 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B))))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22665,plain,
% 8.99/6.60 ((v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) <=> (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B))))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22666,plain,
% 8.99/6.60 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))))),
% 8.99/6.60 inference(monotonicity,[status(thm)],[22665])).
% 8.99/6.60 tff(22667,plain,
% 8.99/6.60 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B))))),
% 8.99/6.60 inference(transitivity,[status(thm)],[22666, 22664])).
% 8.99/6.60 tff(22668,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B))))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22669,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22668, 22667])).
% 8.99/6.60 tff(22670,plain,
% 8.99/6.60 (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | ![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22669, 10951])).
% 8.99/6.60 tff(22671,plain,
% 8.99/6.60 (![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22670, 22663, 22652, 22641, 22630, 22619, 22608])).
% 8.99/6.60 tff(22672,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b001(bitIndex2)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22673,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b001(bitIndex2)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22674,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB157, bitIndex2) <=> b001(bitIndex2))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22673, 22672])).
% 8.99/6.60 tff(22675,plain,
% 8.99/6.60 (v130(constB157, bitIndex2) <=> b001(bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22674, 648, 22671])).
% 8.99/6.60 tff(22676,plain,
% 8.99/6.60 ((~(v130(constB157, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB157, bitIndex2)) | b001(bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22677,plain,
% 8.99/6.60 ((~(v130(constB157, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB157, bitIndex2))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22676, 9855])).
% 8.99/6.60 tff(22678,plain,
% 8.99/6.60 (~v130(constB157, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22677, 22675])).
% 8.99/6.60 tff(22679,plain,
% 8.99/6.60 ((~(v127(constB157, bitIndex2) <=> v130(constB157, bitIndex2))) | (~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22680,plain,
% 8.99/6.60 (~v127(constB157, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22679, 22678, 22602])).
% 8.99/6.60 tff(22681,plain,
% 8.99/6.60 ((~(v129(constB158, bitIndex2) <=> v127(constB157, bitIndex2))) | (~v129(constB158, bitIndex2)) | v127(constB157, bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22682,plain,
% 8.99/6.60 (~v129(constB158, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22681, 22680, 22594])).
% 8.99/6.60 tff(22683,plain,
% 8.99/6.60 ((~(v90(constB158, bitIndex2) <=> v129(constB158, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22684,plain,
% 8.99/6.60 (~v90(constB158, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22683, 22682, 22586])).
% 8.99/6.60 tff(22685,plain,
% 8.99/6.60 ((~(v90(constB159, bitIndex2) <=> v90(constB158, bitIndex2))) | (~v90(constB159, bitIndex2)) | v90(constB158, bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22686,plain,
% 8.99/6.60 (~v90(constB159, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22685, 22684, 2373])).
% 8.99/6.60 tff(22687,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22688,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22689,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22688, 22687])).
% 8.99/6.60 tff(22690,plain,
% 8.99/6.60 (v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22689, 9653, 2369])).
% 8.99/6.60 tff(22691,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22692,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22693,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex0)) | (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22692, 22691])).
% 8.99/6.60 tff(22694,plain,
% 8.99/6.60 (v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22693, 9653, 22582])).
% 8.99/6.60 tff(22695,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22696,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22697,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex0)) | (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22696, 22695])).
% 8.99/6.60 tff(22698,plain,
% 8.99/6.60 (v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22697, 9653, 22590])).
% 8.99/6.60 tff(22699,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22700,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22701,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex0)) | (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22700, 22699])).
% 8.99/6.60 tff(22702,plain,
% 8.99/6.60 (v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22701, 9653, 22598])).
% 8.99/6.60 tff(22703,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b001(bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22704,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b001(bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22705,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB157, bitIndex0) <=> b001(bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22704, 22703])).
% 8.99/6.60 tff(22706,plain,
% 8.99/6.60 (v130(constB157, bitIndex0) <=> b001(bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22705, 9653, 22671])).
% 8.99/6.60 tff(22707,plain,
% 8.99/6.60 ((~(v130(constB157, bitIndex0) <=> b001(bitIndex0))) | v130(constB157, bitIndex0) | (~b001(bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22708,plain,
% 8.99/6.60 ((~(v130(constB157, bitIndex0) <=> b001(bitIndex0))) | v130(constB157, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22707, 9889])).
% 8.99/6.60 tff(22709,plain,
% 8.99/6.60 (v130(constB157, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22708, 22706])).
% 8.99/6.60 tff(22710,plain,
% 8.99/6.60 ((~(v127(constB157, bitIndex0) <=> v130(constB157, bitIndex0))) | v127(constB157, bitIndex0) | (~v130(constB157, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22711,plain,
% 8.99/6.60 (v127(constB157, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22710, 22709, 22702])).
% 8.99/6.60 tff(22712,plain,
% 8.99/6.60 ((~(v129(constB158, bitIndex0) <=> v127(constB157, bitIndex0))) | v129(constB158, bitIndex0) | (~v127(constB157, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22713,plain,
% 8.99/6.60 (v129(constB158, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22712, 22711, 22698])).
% 8.99/6.60 tff(22714,plain,
% 8.99/6.60 ((~(v90(constB158, bitIndex0) <=> v129(constB158, bitIndex0))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22715,plain,
% 8.99/6.60 (v90(constB158, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22714, 22713, 22694])).
% 8.99/6.60 tff(22716,plain,
% 8.99/6.60 ((~(v90(constB159, bitIndex0) <=> v90(constB158, bitIndex0))) | v90(constB159, bitIndex0) | (~v90(constB158, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22717,plain,
% 8.99/6.60 (v90(constB159, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22716, 22715, 22690])).
% 8.99/6.60 tff(22718,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22719,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22720,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB159, B) <=> v90(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22719, 22718])).
% 8.99/6.60 tff(22721,plain,
% 8.99/6.60 (v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22720, 375, 2369])).
% 8.99/6.60 tff(22722,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22723,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | ((~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22724,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB158, B) <=> v129(constB158, B)))) | (~less_3(bitIndex1)) | (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22723, 22722])).
% 8.99/6.60 tff(22725,plain,
% 8.99/6.60 (v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22724, 375, 22582])).
% 8.99/6.60 tff(22726,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22727,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | ((~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22728,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB158, B) <=> v127(constB157, B)))) | (~less_3(bitIndex1)) | (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22727, 22726])).
% 8.99/6.60 tff(22729,plain,
% 8.99/6.60 (v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22728, 375, 22590])).
% 8.99/6.60 tff(22730,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22731,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | ((~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22732,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB157, B) <=> v130(constB157, B)))) | (~less_3(bitIndex1)) | (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22731, 22730])).
% 8.99/6.60 tff(22733,plain,
% 8.99/6.60 (v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22732, 375, 22598])).
% 8.99/6.60 tff(22734,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b001(bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22735,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b001(bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22736,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v130(constB157, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB157, bitIndex1) <=> b001(bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22735, 22734])).
% 8.99/6.60 tff(22737,plain,
% 8.99/6.60 (v130(constB157, bitIndex1) <=> b001(bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22736, 375, 22671])).
% 8.99/6.60 tff(22738,plain,
% 8.99/6.60 ((~(v130(constB157, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB157, bitIndex1)) | b001(bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22739,plain,
% 8.99/6.60 ((~(v130(constB157, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB157, bitIndex1))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22738, 9923])).
% 8.99/6.60 tff(22740,plain,
% 8.99/6.60 (~v130(constB157, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22739, 22737])).
% 8.99/6.60 tff(22741,plain,
% 8.99/6.60 ((~(v127(constB157, bitIndex1) <=> v130(constB157, bitIndex1))) | (~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22742,plain,
% 8.99/6.60 (~v127(constB157, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22741, 22740, 22733])).
% 8.99/6.60 tff(22743,plain,
% 8.99/6.60 ((~(v129(constB158, bitIndex1) <=> v127(constB157, bitIndex1))) | (~v129(constB158, bitIndex1)) | v127(constB157, bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22744,plain,
% 8.99/6.60 (~v129(constB158, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22743, 22742, 22729])).
% 8.99/6.60 tff(22745,plain,
% 8.99/6.60 ((~(v90(constB158, bitIndex1) <=> v129(constB158, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22746,plain,
% 8.99/6.60 (~v90(constB158, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22745, 22744, 22725])).
% 8.99/6.60 tff(22747,plain,
% 8.99/6.60 ((~(v90(constB159, bitIndex1) <=> v90(constB158, bitIndex1))) | (~v90(constB159, bitIndex1)) | v90(constB158, bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22748,plain,
% 8.99/6.60 (~v90(constB159, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22747, 22746, 22721])).
% 8.99/6.60 tff(22749,plain,
% 8.99/6.60 ((~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))) | v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22750,plain,
% 8.99/6.60 (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22749, 22748, 22717, 22686])).
% 8.99/6.60 tff(22751,plain,
% 8.99/6.60 ((~(v120(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))))) | v120(constB159) | (v90(constB159, bitIndex2) | v90(constB159, bitIndex1) | (~v90(constB159, bitIndex0)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22752,plain,
% 8.99/6.60 (v120(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22751, 22750, 2341])).
% 8.99/6.60 tff(22753,plain,
% 8.99/6.60 ((v119(constB159) | v120(constB159)) | (~v120(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22754,plain,
% 8.99/6.60 (v119(constB159) | v120(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22753, 22752])).
% 8.99/6.60 tff(22755,plain,
% 8.99/6.60 ((~(v118(constB159) <=> (v119(constB159) | v120(constB159)))) | v118(constB159) | (~(v119(constB159) | v120(constB159)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22756,plain,
% 8.99/6.60 (v118(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22755, 22754, 2334])).
% 8.99/6.60 tff(22757,plain,
% 8.99/6.60 ((v118(constB159) | v121(constB159)) | (~v118(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22758,plain,
% 8.99/6.60 (v118(constB159) | v121(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22757, 22756])).
% 8.99/6.60 tff(22759,plain,
% 8.99/6.60 ((~(v117(constB159) <=> (v118(constB159) | v121(constB159)))) | v117(constB159) | (~(v118(constB159) | v121(constB159)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22760,plain,
% 8.99/6.60 (v117(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22759, 22758, 2332])).
% 8.99/6.60 tff(22761,plain,
% 8.99/6.60 ((v117(constB159) | v122(constB159)) | (~v117(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22762,plain,
% 8.99/6.60 (v117(constB159) | v122(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22761, 22760])).
% 8.99/6.60 tff(22763,plain,
% 8.99/6.60 ((~(v116(constB159) <=> (v117(constB159) | v122(constB159)))) | v116(constB159) | (~(v117(constB159) | v122(constB159)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22764,plain,
% 8.99/6.60 (v116(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22763, 22762, 2330])).
% 8.99/6.60 tff(22765,plain,
% 8.99/6.60 ((v116(constB159) | v123(constB159)) | (~v116(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22766,plain,
% 8.99/6.60 (v116(constB159) | v123(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22765, 22764])).
% 8.99/6.60 tff(22767,plain,
% 8.99/6.60 ((~(v115(constB159) <=> (v116(constB159) | v123(constB159)))) | v115(constB159) | (~(v116(constB159) | v123(constB159)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22768,plain,
% 8.99/6.60 (v115(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22767, 22766, 2328])).
% 8.99/6.60 tff(22769,plain,
% 8.99/6.60 ((v115(constB159) | v124(constB159)) | (~v115(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22770,plain,
% 8.99/6.60 (v115(constB159) | v124(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22769, 22768])).
% 8.99/6.60 tff(22771,plain,
% 8.99/6.60 ((~(v114(constB159) <=> (v115(constB159) | v124(constB159)))) | v114(constB159) | (~(v115(constB159) | v124(constB159)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22772,plain,
% 8.99/6.60 (v114(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22771, 22770, 2326])).
% 8.99/6.60 tff(22773,plain,
% 8.99/6.60 ((v114(constB159) | v125(constB159)) | (~v114(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22774,plain,
% 8.99/6.60 (v114(constB159) | v125(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22773, 22772])).
% 8.99/6.60 tff(22775,plain,
% 8.99/6.60 ((~(v113(constB159) <=> (v114(constB159) | v125(constB159)))) | v113(constB159) | (~(v114(constB159) | v125(constB159)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22776,plain,
% 8.99/6.60 (v113(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22775, 22774, 2324])).
% 8.99/6.60 tff(22777,plain,
% 8.99/6.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB159)) <=> v111(constB159))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22778,plain,
% 8.99/6.60 ((~v126(constB159)) <=> v111(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22777, 9720])).
% 8.99/6.60 tff(22779,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB159) <=> v26(constB159))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22780,plain,
% 8.99/6.60 (v111(constB159) <=> v26(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22779, 9732])).
% 8.99/6.60 tff(22781,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22782,plain,
% 8.99/6.60 (~v26(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22781, 9744])).
% 8.99/6.60 tff(22783,plain,
% 8.99/6.60 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159)) | v26(constB159)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22784,plain,
% 8.99/6.60 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22783, 22782])).
% 8.99/6.60 tff(22785,plain,
% 8.99/6.60 (~v111(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22784, 22780])).
% 8.99/6.60 tff(22786,plain,
% 8.99/6.60 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159) | v111(constB159)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22787,plain,
% 8.99/6.60 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22786, 22785])).
% 8.99/6.60 tff(22788,plain,
% 8.99/6.60 (v126(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22787, 22778])).
% 8.99/6.60 tff(22789,plain,
% 8.99/6.60 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159)) | (~v126(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22790,plain,
% 8.99/6.60 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22789, 22788])).
% 8.99/6.60 tff(22791,plain,
% 8.99/6.60 (~((~v113(constB159)) | (~v126(constB159)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22790, 22776])).
% 8.99/6.60 tff(22792,plain,
% 8.99/6.60 ((~(v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))) | v112(constB159) | ((~v113(constB159)) | (~v126(constB159)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22793,plain,
% 8.99/6.60 (v112(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22792, 22791, 2322])).
% 8.99/6.60 tff(22794,plain,
% 8.99/6.60 ((v111(constB159) | v112(constB159)) | (~v112(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22795,plain,
% 8.99/6.60 (v111(constB159) | v112(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22794, 22793])).
% 8.99/6.60 tff(22796,plain,
% 8.99/6.60 ((~(v108(constB159) <=> (v111(constB159) | v112(constB159)))) | v108(constB159) | (~(v111(constB159) | v112(constB159)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22797,plain,
% 8.99/6.60 (v108(constB159)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22796, 22795, 2320])).
% 8.99/6.60 tff(22798,plain,
% 8.99/6.60 ((~(v110(constB160) <=> v108(constB159))) | v110(constB160) | (~v108(constB159))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22799,plain,
% 8.99/6.60 (v110(constB160)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22798, 22797, 2318])).
% 8.99/6.60 tff(22800,plain,
% 8.99/6.60 ((~((~v101(constB160)) | (~v110(constB160)))) | (~v101(constB160)) | (~v110(constB160))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22801,plain,
% 8.99/6.60 (~((~v101(constB160)) | (~v110(constB160)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22800, 22799, 2314])).
% 8.99/6.60 tff(22802,plain,
% 8.99/6.60 ((~(v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))) | v100(constB160) | ((~v101(constB160)) | (~v110(constB160)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(22803,plain,
% 8.99/6.60 (v100(constB160)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22802, 22801, 2283])).
% 8.99/6.60 tff(22804,plain,
% 8.99/6.60 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B))))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22805,plain,
% 8.99/6.60 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B))))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22806,plain,
% 8.99/6.60 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22805, 22804])).
% 8.99/6.60 tff(22807,plain,
% 8.99/6.60 ((~v100(constB160)) | ![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22806, 9780])).
% 8.99/6.60 tff(22808,plain,
% 8.99/6.60 (![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22807, 22803])).
% 8.99/6.60 tff(22809,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22810,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22811,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex2)) | (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22810, 22809])).
% 8.99/6.60 tff(22812,plain,
% 8.99/6.60 (v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22811, 648, 22808])).
% 8.99/6.60 tff(22813,plain,
% 8.99/6.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B))))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22814,plain,
% 8.99/6.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B))))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22815,plain,
% 8.99/6.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22814, 22813])).
% 8.99/6.60 tff(22816,plain,
% 8.99/6.60 (![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22815, 2279, 9802])).
% 8.99/6.60 tff(22817,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22818,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22819,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex2)) | (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 8.99/6.60 tff(22820,plain,
% 8.99/6.60 (v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22819, 648, 22816])).
% 8.99/6.60 tff(22821,plain,
% 8.99/6.60 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB159) | ![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB159) | ![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B))))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22822,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB159) | ![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B))))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22823,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB159) | ![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 8.99/6.60 tff(22824,plain,
% 8.99/6.60 (![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22823, 9823, 22785])).
% 8.99/6.60 tff(22825,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22826,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22827,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex2)) | (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[22826, 22825])).
% 8.99/6.60 tff(22828,plain,
% 8.99/6.60 (v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[22827, 648, 22824])).
% 8.99/6.60 tff(22829,plain,
% 8.99/6.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B))))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(22830,plain,
% 8.99/6.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B))))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(22831,plain,
% 8.99/6.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22830, 22829])).
% 8.99/6.61 tff(22832,plain,
% 8.99/6.61 ((~v120(constB159)) | ![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22831, 10027])).
% 8.99/6.61 tff(22833,plain,
% 8.99/6.61 (![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22832, 22752])).
% 8.99/6.61 tff(22834,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b010(bitIndex2)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22835,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b010(bitIndex2)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22836,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB159, bitIndex2) <=> b010(bitIndex2))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22835, 22834])).
% 8.99/6.61 tff(22837,plain,
% 8.99/6.61 (v130(constB159, bitIndex2) <=> b010(bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22836, 648, 22833])).
% 8.99/6.61 tff(22838,plain,
% 8.99/6.61 ((~(v130(constB159, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB159, bitIndex2)) | b010(bitIndex2)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22839,plain,
% 8.99/6.61 ((~(v130(constB159, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB159, bitIndex2))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22838, 10039])).
% 8.99/6.61 tff(22840,plain,
% 8.99/6.61 (~v130(constB159, bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22839, 22837])).
% 8.99/6.61 tff(22841,plain,
% 8.99/6.61 ((~(v127(constB159, bitIndex2) <=> v130(constB159, bitIndex2))) | (~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22842,plain,
% 8.99/6.61 (~v127(constB159, bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22841, 22840, 22828])).
% 8.99/6.61 tff(22843,plain,
% 8.99/6.61 ((~(v129(constB160, bitIndex2) <=> v127(constB159, bitIndex2))) | (~v129(constB160, bitIndex2)) | v127(constB159, bitIndex2)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22844,plain,
% 8.99/6.61 (~v129(constB160, bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22843, 22842, 22820])).
% 8.99/6.61 tff(22845,plain,
% 8.99/6.61 ((~(v90(constB160, bitIndex2) <=> v129(constB160, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22846,plain,
% 8.99/6.61 (~v90(constB160, bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22845, 22844, 22812])).
% 8.99/6.61 tff(22847,plain,
% 8.99/6.61 ((~(v90(constB161, bitIndex2) <=> v90(constB160, bitIndex2))) | (~v90(constB161, bitIndex2)) | v90(constB160, bitIndex2)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22848,plain,
% 8.99/6.61 (~v90(constB161, bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22847, 22846, 2276])).
% 8.99/6.61 tff(22849,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22850,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22851,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22850, 22849])).
% 8.99/6.61 tff(22852,plain,
% 8.99/6.61 (v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22851, 9653, 2272])).
% 8.99/6.61 tff(22853,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22854,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22855,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex0)) | (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22854, 22853])).
% 8.99/6.61 tff(22856,plain,
% 8.99/6.61 (v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22855, 9653, 22808])).
% 8.99/6.61 tff(22857,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22858,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22859,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex0)) | (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22858, 22857])).
% 8.99/6.61 tff(22860,plain,
% 8.99/6.61 (v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22859, 9653, 22816])).
% 8.99/6.61 tff(22861,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22862,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22863,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex0)) | (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22862, 22861])).
% 8.99/6.61 tff(22864,plain,
% 8.99/6.61 (v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22863, 9653, 22824])).
% 8.99/6.61 tff(22865,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b010(bitIndex0)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22866,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b010(bitIndex0)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22867,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB159, bitIndex0) <=> b010(bitIndex0))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22866, 22865])).
% 8.99/6.61 tff(22868,plain,
% 8.99/6.61 (v130(constB159, bitIndex0) <=> b010(bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22867, 9653, 22833])).
% 8.99/6.61 tff(22869,plain,
% 8.99/6.61 ((~(v130(constB159, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB159, bitIndex0)) | b010(bitIndex0)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22870,plain,
% 8.99/6.61 ((~(v130(constB159, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB159, bitIndex0))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22869, 10073])).
% 8.99/6.61 tff(22871,plain,
% 8.99/6.61 (~v130(constB159, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22870, 22868])).
% 8.99/6.61 tff(22872,plain,
% 8.99/6.61 ((~(v127(constB159, bitIndex0) <=> v130(constB159, bitIndex0))) | (~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22873,plain,
% 8.99/6.61 (~v127(constB159, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22872, 22871, 22864])).
% 8.99/6.61 tff(22874,plain,
% 8.99/6.61 ((~(v129(constB160, bitIndex0) <=> v127(constB159, bitIndex0))) | (~v129(constB160, bitIndex0)) | v127(constB159, bitIndex0)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22875,plain,
% 8.99/6.61 (~v129(constB160, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22874, 22873, 22860])).
% 8.99/6.61 tff(22876,plain,
% 8.99/6.61 ((~(v90(constB160, bitIndex0) <=> v129(constB160, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22877,plain,
% 8.99/6.61 (~v90(constB160, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22876, 22875, 22856])).
% 8.99/6.61 tff(22878,plain,
% 8.99/6.61 ((~(v90(constB161, bitIndex0) <=> v90(constB160, bitIndex0))) | (~v90(constB161, bitIndex0)) | v90(constB160, bitIndex0)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22879,plain,
% 8.99/6.61 (~v90(constB161, bitIndex0)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22878, 22877, 22852])).
% 8.99/6.61 tff(22880,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22881,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22882,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB161, B) <=> v90(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22881, 22880])).
% 8.99/6.61 tff(22883,plain,
% 8.99/6.61 (v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22882, 375, 2272])).
% 8.99/6.61 tff(22884,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22885,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | ((~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22886,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB160, B) <=> v129(constB160, B)))) | (~less_3(bitIndex1)) | (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22885, 22884])).
% 8.99/6.61 tff(22887,plain,
% 8.99/6.61 (v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22886, 375, 22808])).
% 8.99/6.61 tff(22888,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22889,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | ((~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22890,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB160, B) <=> v127(constB159, B)))) | (~less_3(bitIndex1)) | (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22889, 22888])).
% 8.99/6.61 tff(22891,plain,
% 8.99/6.61 (v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22890, 375, 22816])).
% 8.99/6.61 tff(22892,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22893,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | ((~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22894,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB159, B) <=> v130(constB159, B)))) | (~less_3(bitIndex1)) | (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22893, 22892])).
% 8.99/6.61 tff(22895,plain,
% 8.99/6.61 (v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22894, 375, 22824])).
% 8.99/6.61 tff(22896,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b010(bitIndex1)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22897,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b010(bitIndex1)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22898,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB159, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB159, bitIndex1) <=> b010(bitIndex1))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22897, 22896])).
% 8.99/6.61 tff(22899,plain,
% 8.99/6.61 (v130(constB159, bitIndex1) <=> b010(bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22898, 375, 22833])).
% 8.99/6.61 tff(22900,plain,
% 8.99/6.61 ((~(v130(constB159, bitIndex1) <=> b010(bitIndex1))) | v130(constB159, bitIndex1) | (~b010(bitIndex1))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22901,plain,
% 8.99/6.61 ((~(v130(constB159, bitIndex1) <=> b010(bitIndex1))) | v130(constB159, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22900, 10107])).
% 8.99/6.61 tff(22902,plain,
% 8.99/6.61 (v130(constB159, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22901, 22899])).
% 8.99/6.61 tff(22903,plain,
% 8.99/6.61 ((~(v127(constB159, bitIndex1) <=> v130(constB159, bitIndex1))) | v127(constB159, bitIndex1) | (~v130(constB159, bitIndex1))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22904,plain,
% 8.99/6.61 (v127(constB159, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22903, 22902, 22895])).
% 8.99/6.61 tff(22905,plain,
% 8.99/6.61 ((~(v129(constB160, bitIndex1) <=> v127(constB159, bitIndex1))) | v129(constB160, bitIndex1) | (~v127(constB159, bitIndex1))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22906,plain,
% 8.99/6.61 (v129(constB160, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22905, 22904, 22891])).
% 8.99/6.61 tff(22907,plain,
% 8.99/6.61 ((~(v90(constB160, bitIndex1) <=> v129(constB160, bitIndex1))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22908,plain,
% 8.99/6.61 (v90(constB160, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22907, 22906, 22887])).
% 8.99/6.61 tff(22909,plain,
% 8.99/6.61 ((~(v90(constB161, bitIndex1) <=> v90(constB160, bitIndex1))) | v90(constB161, bitIndex1) | (~v90(constB160, bitIndex1))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22910,plain,
% 8.99/6.61 (v90(constB161, bitIndex1)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22909, 22908, 22883])).
% 8.99/6.61 tff(22911,plain,
% 8.99/6.61 ((~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22912,plain,
% 8.99/6.61 (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22911, 22910, 22879, 22848])).
% 8.99/6.61 tff(22913,plain,
% 8.99/6.61 ((~(v121(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))))) | v121(constB161) | (v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex0))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22914,plain,
% 8.99/6.61 (v121(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22913, 22912, 2244])).
% 8.99/6.61 tff(22915,plain,
% 8.99/6.61 ((v118(constB161) | v121(constB161)) | (~v121(constB161))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22916,plain,
% 8.99/6.61 (v118(constB161) | v121(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22915, 22914])).
% 8.99/6.61 tff(22917,plain,
% 8.99/6.61 ((~(v117(constB161) <=> (v118(constB161) | v121(constB161)))) | v117(constB161) | (~(v118(constB161) | v121(constB161)))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22918,plain,
% 8.99/6.61 (v117(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22917, 22916, 2237])).
% 8.99/6.61 tff(22919,plain,
% 8.99/6.61 ((v117(constB161) | v122(constB161)) | (~v117(constB161))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22920,plain,
% 8.99/6.61 (v117(constB161) | v122(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22919, 22918])).
% 8.99/6.61 tff(22921,plain,
% 8.99/6.61 ((~(v116(constB161) <=> (v117(constB161) | v122(constB161)))) | v116(constB161) | (~(v117(constB161) | v122(constB161)))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22922,plain,
% 8.99/6.61 (v116(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22921, 22920, 2235])).
% 8.99/6.61 tff(22923,plain,
% 8.99/6.61 ((v116(constB161) | v123(constB161)) | (~v116(constB161))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22924,plain,
% 8.99/6.61 (v116(constB161) | v123(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22923, 22922])).
% 8.99/6.61 tff(22925,plain,
% 8.99/6.61 ((~(v115(constB161) <=> (v116(constB161) | v123(constB161)))) | v115(constB161) | (~(v116(constB161) | v123(constB161)))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22926,plain,
% 8.99/6.61 (v115(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22925, 22924, 2233])).
% 8.99/6.61 tff(22927,plain,
% 8.99/6.61 ((v115(constB161) | v124(constB161)) | (~v115(constB161))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22928,plain,
% 8.99/6.61 (v115(constB161) | v124(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22927, 22926])).
% 8.99/6.61 tff(22929,plain,
% 8.99/6.61 ((~(v114(constB161) <=> (v115(constB161) | v124(constB161)))) | v114(constB161) | (~(v115(constB161) | v124(constB161)))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22930,plain,
% 8.99/6.61 (v114(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22929, 22928, 2231])).
% 8.99/6.61 tff(22931,plain,
% 8.99/6.61 ((v114(constB161) | v125(constB161)) | (~v114(constB161))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22932,plain,
% 8.99/6.61 (v114(constB161) | v125(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22931, 22930])).
% 8.99/6.61 tff(22933,plain,
% 8.99/6.61 ((~(v113(constB161) <=> (v114(constB161) | v125(constB161)))) | v113(constB161) | (~(v114(constB161) | v125(constB161)))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22934,plain,
% 8.99/6.61 (v113(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22933, 22932, 2229])).
% 8.99/6.61 tff(22935,plain,
% 8.99/6.61 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB161)) <=> v111(constB161))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22936,plain,
% 8.99/6.61 ((~v126(constB161)) <=> v111(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22935, 9720])).
% 8.99/6.61 tff(22937,plain,
% 8.99/6.61 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB161) <=> v26(constB161))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22938,plain,
% 8.99/6.61 (v111(constB161) <=> v26(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22937, 9732])).
% 8.99/6.61 tff(22939,plain,
% 8.99/6.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22940,plain,
% 8.99/6.61 (~v26(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22939, 9744])).
% 8.99/6.61 tff(22941,plain,
% 8.99/6.61 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161)) | v26(constB161)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22942,plain,
% 8.99/6.61 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22941, 22940])).
% 8.99/6.61 tff(22943,plain,
% 8.99/6.61 (~v111(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22942, 22938])).
% 8.99/6.61 tff(22944,plain,
% 8.99/6.61 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161) | v111(constB161)),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22945,plain,
% 8.99/6.61 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22944, 22943])).
% 8.99/6.61 tff(22946,plain,
% 8.99/6.61 (v126(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22945, 22936])).
% 8.99/6.61 tff(22947,plain,
% 8.99/6.61 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161)) | (~v126(constB161))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22948,plain,
% 8.99/6.61 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22947, 22946])).
% 8.99/6.61 tff(22949,plain,
% 8.99/6.61 (~((~v113(constB161)) | (~v126(constB161)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22948, 22934])).
% 8.99/6.61 tff(22950,plain,
% 8.99/6.61 ((~(v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))) | v112(constB161) | ((~v113(constB161)) | (~v126(constB161)))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22951,plain,
% 8.99/6.61 (v112(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22950, 22949, 2227])).
% 8.99/6.61 tff(22952,plain,
% 8.99/6.61 ((v111(constB161) | v112(constB161)) | (~v112(constB161))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22953,plain,
% 8.99/6.61 (v111(constB161) | v112(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22952, 22951])).
% 8.99/6.61 tff(22954,plain,
% 8.99/6.61 ((~(v108(constB161) <=> (v111(constB161) | v112(constB161)))) | v108(constB161) | (~(v111(constB161) | v112(constB161)))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22955,plain,
% 8.99/6.61 (v108(constB161)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22954, 22953, 2225])).
% 8.99/6.61 tff(22956,plain,
% 8.99/6.61 ((~(v110(constB162) <=> v108(constB161))) | v110(constB162) | (~v108(constB161))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22957,plain,
% 8.99/6.61 (v110(constB162)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22956, 22955, 2223])).
% 8.99/6.61 tff(22958,plain,
% 8.99/6.61 ((~((~v101(constB162)) | (~v110(constB162)))) | (~v101(constB162)) | (~v110(constB162))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22959,plain,
% 8.99/6.61 (~((~v101(constB162)) | (~v110(constB162)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22958, 22957, 2219])).
% 8.99/6.61 tff(22960,plain,
% 8.99/6.61 ((~(v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))) | v100(constB162) | ((~v101(constB162)) | (~v110(constB162)))),
% 8.99/6.61 inference(tautology,[status(thm)],[])).
% 8.99/6.61 tff(22961,plain,
% 8.99/6.61 (v100(constB162)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22960, 22959, 2188])).
% 8.99/6.61 tff(22962,plain,
% 8.99/6.61 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B))))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22963,plain,
% 8.99/6.61 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B))))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22964,plain,
% 8.99/6.61 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22963, 22962])).
% 8.99/6.61 tff(22965,plain,
% 8.99/6.61 ((~v100(constB162)) | ![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22964, 9780])).
% 8.99/6.61 tff(22966,plain,
% 8.99/6.61 (![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22965, 22961])).
% 8.99/6.61 tff(22967,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22968,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22969,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex2)) | (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22968, 22967])).
% 8.99/6.61 tff(22970,plain,
% 8.99/6.61 (v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22969, 648, 22966])).
% 8.99/6.61 tff(22971,plain,
% 8.99/6.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B))))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22972,plain,
% 8.99/6.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B))))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22973,plain,
% 8.99/6.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 8.99/6.61 tff(22974,plain,
% 8.99/6.61 (![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22973, 2184, 9802])).
% 8.99/6.61 tff(22975,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22976,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22977,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex2)) | (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 8.99/6.61 tff(22978,plain,
% 8.99/6.61 (v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22977, 648, 22974])).
% 8.99/6.61 tff(22979,plain,
% 8.99/6.61 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB161) | ![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB161) | ![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B))))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22980,plain,
% 8.99/6.61 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB161) | ![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B))))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22981,plain,
% 8.99/6.61 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB161) | ![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22980, 22979])).
% 8.99/6.61 tff(22982,plain,
% 8.99/6.61 (![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22981, 9823, 22943])).
% 8.99/6.61 tff(22983,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22984,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22985,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex2)) | (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 8.99/6.61 tff(22986,plain,
% 8.99/6.61 (v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22985, 648, 22982])).
% 8.99/6.61 tff(22987,plain,
% 8.99/6.61 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B))))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22988,plain,
% 8.99/6.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B))))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22989,plain,
% 8.99/6.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22988, 22987])).
% 8.99/6.61 tff(22990,plain,
% 8.99/6.61 ((~v121(constB161)) | ![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22989, 10207])).
% 8.99/6.61 tff(22991,plain,
% 8.99/6.61 (![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22990, 22914])).
% 8.99/6.61 tff(22992,plain,
% 8.99/6.61 (((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b011(bitIndex2)))),
% 8.99/6.61 inference(rewrite,[status(thm)],[])).
% 8.99/6.61 tff(22993,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b011(bitIndex2)))),
% 8.99/6.61 inference(quant_inst,[status(thm)],[])).
% 8.99/6.61 tff(22994,plain,
% 8.99/6.61 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB161, bitIndex2) <=> b011(bitIndex2))),
% 8.99/6.61 inference(modus_ponens,[status(thm)],[22993, 22992])).
% 8.99/6.61 tff(22995,plain,
% 8.99/6.61 (v130(constB161, bitIndex2) <=> b011(bitIndex2)),
% 8.99/6.61 inference(unit_resolution,[status(thm)],[22994, 648, 22991])).
% 9.04/6.62 tff(22996,plain,
% 9.04/6.62 ((~(v130(constB161, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB161, bitIndex2)) | b011(bitIndex2)),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(22997,plain,
% 9.04/6.62 ((~(v130(constB161, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB161, bitIndex2))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[22996, 10219])).
% 9.04/6.62 tff(22998,plain,
% 9.04/6.62 (~v130(constB161, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[22997, 22995])).
% 9.04/6.62 tff(22999,plain,
% 9.04/6.62 ((~(v127(constB161, bitIndex2) <=> v130(constB161, bitIndex2))) | (~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23000,plain,
% 9.04/6.62 (~v127(constB161, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[22999, 22998, 22986])).
% 9.04/6.62 tff(23001,plain,
% 9.04/6.62 ((~(v129(constB162, bitIndex2) <=> v127(constB161, bitIndex2))) | (~v129(constB162, bitIndex2)) | v127(constB161, bitIndex2)),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23002,plain,
% 9.04/6.62 (~v129(constB162, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23001, 23000, 22978])).
% 9.04/6.62 tff(23003,plain,
% 9.04/6.62 ((~(v90(constB162, bitIndex2) <=> v129(constB162, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2)),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23004,plain,
% 9.04/6.62 (~v90(constB162, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23003, 23002, 22970])).
% 9.04/6.62 tff(23005,plain,
% 9.04/6.62 ((~(v90(constB163, bitIndex2) <=> v90(constB162, bitIndex2))) | (~v90(constB163, bitIndex2)) | v90(constB162, bitIndex2)),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23006,plain,
% 9.04/6.62 (~v90(constB163, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23005, 23004, 2181])).
% 9.04/6.62 tff(23007,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23008,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23009,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23008, 23007])).
% 9.04/6.62 tff(23010,plain,
% 9.04/6.62 (v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23009, 9653, 2177])).
% 9.04/6.62 tff(23011,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23012,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23013,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex0)) | (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23012, 23011])).
% 9.04/6.62 tff(23014,plain,
% 9.04/6.62 (v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23013, 9653, 22966])).
% 9.04/6.62 tff(23015,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23016,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23017,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex0)) | (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23016, 23015])).
% 9.04/6.62 tff(23018,plain,
% 9.04/6.62 (v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23017, 9653, 22974])).
% 9.04/6.62 tff(23019,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23020,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23021,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex0)) | (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23020, 23019])).
% 9.04/6.62 tff(23022,plain,
% 9.04/6.62 (v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23021, 9653, 22982])).
% 9.04/6.62 tff(23023,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b011(bitIndex0)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23024,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b011(bitIndex0)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23025,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB161, bitIndex0) <=> b011(bitIndex0))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23024, 23023])).
% 9.04/6.62 tff(23026,plain,
% 9.04/6.62 (v130(constB161, bitIndex0) <=> b011(bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23025, 9653, 22991])).
% 9.04/6.62 tff(23027,plain,
% 9.04/6.62 ((~(v130(constB161, bitIndex0) <=> b011(bitIndex0))) | v130(constB161, bitIndex0) | (~b011(bitIndex0))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23028,plain,
% 9.04/6.62 ((~(v130(constB161, bitIndex0) <=> b011(bitIndex0))) | v130(constB161, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23027, 10253])).
% 9.04/6.62 tff(23029,plain,
% 9.04/6.62 (v130(constB161, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23028, 23026])).
% 9.04/6.62 tff(23030,plain,
% 9.04/6.62 ((~(v127(constB161, bitIndex0) <=> v130(constB161, bitIndex0))) | v127(constB161, bitIndex0) | (~v130(constB161, bitIndex0))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23031,plain,
% 9.04/6.62 (v127(constB161, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23030, 23029, 23022])).
% 9.04/6.62 tff(23032,plain,
% 9.04/6.62 ((~(v129(constB162, bitIndex0) <=> v127(constB161, bitIndex0))) | v129(constB162, bitIndex0) | (~v127(constB161, bitIndex0))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23033,plain,
% 9.04/6.62 (v129(constB162, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23032, 23031, 23018])).
% 9.04/6.62 tff(23034,plain,
% 9.04/6.62 ((~(v90(constB162, bitIndex0) <=> v129(constB162, bitIndex0))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23035,plain,
% 9.04/6.62 (v90(constB162, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23034, 23033, 23014])).
% 9.04/6.62 tff(23036,plain,
% 9.04/6.62 ((~(v90(constB163, bitIndex0) <=> v90(constB162, bitIndex0))) | v90(constB163, bitIndex0) | (~v90(constB162, bitIndex0))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23037,plain,
% 9.04/6.62 (v90(constB163, bitIndex0)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23036, 23035, 23010])).
% 9.04/6.62 tff(23038,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23039,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23040,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB163, B) <=> v90(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23039, 23038])).
% 9.04/6.62 tff(23041,plain,
% 9.04/6.62 (v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23040, 375, 2177])).
% 9.04/6.62 tff(23042,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23043,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | ((~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23044,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB162, B) <=> v129(constB162, B)))) | (~less_3(bitIndex1)) | (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23043, 23042])).
% 9.04/6.62 tff(23045,plain,
% 9.04/6.62 (v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23044, 375, 22966])).
% 9.04/6.62 tff(23046,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23047,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | ((~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23048,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB162, B) <=> v127(constB161, B)))) | (~less_3(bitIndex1)) | (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23047, 23046])).
% 9.04/6.62 tff(23049,plain,
% 9.04/6.62 (v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23048, 375, 22974])).
% 9.04/6.62 tff(23050,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23051,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | ((~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23052,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB161, B) <=> v130(constB161, B)))) | (~less_3(bitIndex1)) | (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23051, 23050])).
% 9.04/6.62 tff(23053,plain,
% 9.04/6.62 (v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23052, 375, 22982])).
% 9.04/6.62 tff(23054,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b011(bitIndex1)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23055,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b011(bitIndex1)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23056,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB161, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB161, bitIndex1) <=> b011(bitIndex1))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23055, 23054])).
% 9.04/6.62 tff(23057,plain,
% 9.04/6.62 (v130(constB161, bitIndex1) <=> b011(bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23056, 375, 22991])).
% 9.04/6.62 tff(23058,plain,
% 9.04/6.62 ((~(v130(constB161, bitIndex1) <=> b011(bitIndex1))) | v130(constB161, bitIndex1) | (~b011(bitIndex1))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23059,plain,
% 9.04/6.62 ((~(v130(constB161, bitIndex1) <=> b011(bitIndex1))) | v130(constB161, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23058, 10287])).
% 9.04/6.62 tff(23060,plain,
% 9.04/6.62 (v130(constB161, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23059, 23057])).
% 9.04/6.62 tff(23061,plain,
% 9.04/6.62 ((~(v127(constB161, bitIndex1) <=> v130(constB161, bitIndex1))) | v127(constB161, bitIndex1) | (~v130(constB161, bitIndex1))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23062,plain,
% 9.04/6.62 (v127(constB161, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23061, 23060, 23053])).
% 9.04/6.62 tff(23063,plain,
% 9.04/6.62 ((~(v129(constB162, bitIndex1) <=> v127(constB161, bitIndex1))) | v129(constB162, bitIndex1) | (~v127(constB161, bitIndex1))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23064,plain,
% 9.04/6.62 (v129(constB162, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23063, 23062, 23049])).
% 9.04/6.62 tff(23065,plain,
% 9.04/6.62 ((~(v90(constB162, bitIndex1) <=> v129(constB162, bitIndex1))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23066,plain,
% 9.04/6.62 (v90(constB162, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23065, 23064, 23045])).
% 9.04/6.62 tff(23067,plain,
% 9.04/6.62 ((~(v90(constB163, bitIndex1) <=> v90(constB162, bitIndex1))) | v90(constB163, bitIndex1) | (~v90(constB162, bitIndex1))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23068,plain,
% 9.04/6.62 (v90(constB163, bitIndex1)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23067, 23066, 23041])).
% 9.04/6.62 tff(23069,plain,
% 9.04/6.62 ((~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))) | v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23070,plain,
% 9.04/6.62 (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23069, 23068, 23037, 23006])).
% 9.04/6.62 tff(23071,plain,
% 9.04/6.62 ((~(v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))) | v122(constB163) | (v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23072,plain,
% 9.04/6.62 (v122(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23071, 23070, 2149])).
% 9.04/6.62 tff(23073,plain,
% 9.04/6.62 ((v117(constB163) | v122(constB163)) | (~v122(constB163))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23074,plain,
% 9.04/6.62 (v117(constB163) | v122(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23073, 23072])).
% 9.04/6.62 tff(23075,plain,
% 9.04/6.62 ((~(v116(constB163) <=> (v117(constB163) | v122(constB163)))) | v116(constB163) | (~(v117(constB163) | v122(constB163)))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23076,plain,
% 9.04/6.62 (v116(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23075, 23074, 2142])).
% 9.04/6.62 tff(23077,plain,
% 9.04/6.62 ((v116(constB163) | v123(constB163)) | (~v116(constB163))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23078,plain,
% 9.04/6.62 (v116(constB163) | v123(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23077, 23076])).
% 9.04/6.62 tff(23079,plain,
% 9.04/6.62 ((~(v115(constB163) <=> (v116(constB163) | v123(constB163)))) | v115(constB163) | (~(v116(constB163) | v123(constB163)))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23080,plain,
% 9.04/6.62 (v115(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23079, 23078, 2140])).
% 9.04/6.62 tff(23081,plain,
% 9.04/6.62 ((v115(constB163) | v124(constB163)) | (~v115(constB163))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23082,plain,
% 9.04/6.62 (v115(constB163) | v124(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23081, 23080])).
% 9.04/6.62 tff(23083,plain,
% 9.04/6.62 ((~(v114(constB163) <=> (v115(constB163) | v124(constB163)))) | v114(constB163) | (~(v115(constB163) | v124(constB163)))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23084,plain,
% 9.04/6.62 (v114(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23083, 23082, 2138])).
% 9.04/6.62 tff(23085,plain,
% 9.04/6.62 ((v114(constB163) | v125(constB163)) | (~v114(constB163))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23086,plain,
% 9.04/6.62 (v114(constB163) | v125(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23085, 23084])).
% 9.04/6.62 tff(23087,plain,
% 9.04/6.62 ((~(v113(constB163) <=> (v114(constB163) | v125(constB163)))) | v113(constB163) | (~(v114(constB163) | v125(constB163)))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23088,plain,
% 9.04/6.62 (v113(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23087, 23086, 2136])).
% 9.04/6.62 tff(23089,plain,
% 9.04/6.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB163)) <=> v111(constB163))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23090,plain,
% 9.04/6.62 ((~v126(constB163)) <=> v111(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23089, 9720])).
% 9.04/6.62 tff(23091,plain,
% 9.04/6.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB163) <=> v26(constB163))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23092,plain,
% 9.04/6.62 (v111(constB163) <=> v26(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23091, 9732])).
% 9.04/6.62 tff(23093,plain,
% 9.04/6.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23094,plain,
% 9.04/6.62 (~v26(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23093, 9744])).
% 9.04/6.62 tff(23095,plain,
% 9.04/6.62 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163)) | v26(constB163)),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23096,plain,
% 9.04/6.62 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23095, 23094])).
% 9.04/6.62 tff(23097,plain,
% 9.04/6.62 (~v111(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23096, 23092])).
% 9.04/6.62 tff(23098,plain,
% 9.04/6.62 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163) | v111(constB163)),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23099,plain,
% 9.04/6.62 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23098, 23097])).
% 9.04/6.62 tff(23100,plain,
% 9.04/6.62 (v126(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23099, 23090])).
% 9.04/6.62 tff(23101,plain,
% 9.04/6.62 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163)) | (~v126(constB163))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23102,plain,
% 9.04/6.62 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23101, 23100])).
% 9.04/6.62 tff(23103,plain,
% 9.04/6.62 (~((~v113(constB163)) | (~v126(constB163)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23102, 23088])).
% 9.04/6.62 tff(23104,plain,
% 9.04/6.62 ((~(v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))) | v112(constB163) | ((~v113(constB163)) | (~v126(constB163)))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23105,plain,
% 9.04/6.62 (v112(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23104, 23103, 2134])).
% 9.04/6.62 tff(23106,plain,
% 9.04/6.62 ((v111(constB163) | v112(constB163)) | (~v112(constB163))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23107,plain,
% 9.04/6.62 (v111(constB163) | v112(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23106, 23105])).
% 9.04/6.62 tff(23108,plain,
% 9.04/6.62 ((~(v108(constB163) <=> (v111(constB163) | v112(constB163)))) | v108(constB163) | (~(v111(constB163) | v112(constB163)))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23109,plain,
% 9.04/6.62 (v108(constB163)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23108, 23107, 2132])).
% 9.04/6.62 tff(23110,plain,
% 9.04/6.62 ((~(v110(constB164) <=> v108(constB163))) | v110(constB164) | (~v108(constB163))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23111,plain,
% 9.04/6.62 (v110(constB164)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23110, 23109, 2130])).
% 9.04/6.62 tff(23112,plain,
% 9.04/6.62 ((~((~v101(constB164)) | (~v110(constB164)))) | (~v101(constB164)) | (~v110(constB164))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23113,plain,
% 9.04/6.62 (~((~v101(constB164)) | (~v110(constB164)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23112, 23111, 2126])).
% 9.04/6.62 tff(23114,plain,
% 9.04/6.62 ((~(v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))) | v100(constB164) | ((~v101(constB164)) | (~v110(constB164)))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23115,plain,
% 9.04/6.62 (v100(constB164)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23114, 23113, 2095])).
% 9.04/6.62 tff(23116,plain,
% 9.04/6.62 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B))))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23117,plain,
% 9.04/6.62 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B))))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23118,plain,
% 9.04/6.62 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 9.04/6.62 tff(23119,plain,
% 9.04/6.62 ((~v100(constB164)) | ![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23118, 9780])).
% 9.04/6.62 tff(23120,plain,
% 9.04/6.62 (![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23119, 23115])).
% 9.04/6.62 tff(23121,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23122,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23123,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex2)) | (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23122, 23121])).
% 9.04/6.62 tff(23124,plain,
% 9.04/6.62 (v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23123, 648, 23120])).
% 9.04/6.62 tff(23125,plain,
% 9.04/6.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B))))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23126,plain,
% 9.04/6.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B))))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23127,plain,
% 9.04/6.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23126, 23125])).
% 9.04/6.62 tff(23128,plain,
% 9.04/6.62 (![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23127, 2091, 9802])).
% 9.04/6.62 tff(23129,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23130,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23131,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex2)) | (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23130, 23129])).
% 9.04/6.62 tff(23132,plain,
% 9.04/6.62 (v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23131, 648, 23128])).
% 9.04/6.62 tff(23133,plain,
% 9.04/6.62 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB163) | ![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB163) | ![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B))))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23134,plain,
% 9.04/6.62 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB163) | ![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B))))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23135,plain,
% 9.04/6.62 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB163) | ![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 9.04/6.62 tff(23136,plain,
% 9.04/6.62 (![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23135, 9823, 23097])).
% 9.04/6.62 tff(23137,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23138,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23139,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex2)) | (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 9.04/6.62 tff(23140,plain,
% 9.04/6.62 (v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23139, 648, 23136])).
% 9.04/6.62 tff(23141,plain,
% 9.04/6.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B))))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23142,plain,
% 9.04/6.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B))))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23143,plain,
% 9.04/6.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23142, 23141])).
% 9.04/6.62 tff(23144,plain,
% 9.04/6.62 ((~v122(constB163)) | ![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23143, 10383])).
% 9.04/6.62 tff(23145,plain,
% 9.04/6.62 (![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23144, 23072])).
% 9.04/6.62 tff(23146,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b100(bitIndex2)))),
% 9.04/6.62 inference(rewrite,[status(thm)],[])).
% 9.04/6.62 tff(23147,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b100(bitIndex2)))),
% 9.04/6.62 inference(quant_inst,[status(thm)],[])).
% 9.04/6.62 tff(23148,plain,
% 9.04/6.62 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB163, bitIndex2) <=> b100(bitIndex2))),
% 9.04/6.62 inference(modus_ponens,[status(thm)],[23147, 23146])).
% 9.04/6.62 tff(23149,plain,
% 9.04/6.62 (v130(constB163, bitIndex2) <=> b100(bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23148, 648, 23145])).
% 9.04/6.62 tff(23150,plain,
% 9.04/6.62 ((~(v130(constB163, bitIndex2) <=> b100(bitIndex2))) | v130(constB163, bitIndex2) | (~b100(bitIndex2))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23151,plain,
% 9.04/6.62 ((~(v130(constB163, bitIndex2) <=> b100(bitIndex2))) | v130(constB163, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23150, 10395])).
% 9.04/6.62 tff(23152,plain,
% 9.04/6.62 (v130(constB163, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23151, 23149])).
% 9.04/6.62 tff(23153,plain,
% 9.04/6.62 ((~(v127(constB163, bitIndex2) <=> v130(constB163, bitIndex2))) | v127(constB163, bitIndex2) | (~v130(constB163, bitIndex2))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23154,plain,
% 9.04/6.62 (v127(constB163, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23153, 23152, 23140])).
% 9.04/6.62 tff(23155,plain,
% 9.04/6.62 ((~(v129(constB164, bitIndex2) <=> v127(constB163, bitIndex2))) | v129(constB164, bitIndex2) | (~v127(constB163, bitIndex2))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23156,plain,
% 9.04/6.62 (v129(constB164, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23155, 23154, 23132])).
% 9.04/6.62 tff(23157,plain,
% 9.04/6.62 ((~(v90(constB164, bitIndex2) <=> v129(constB164, bitIndex2))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23158,plain,
% 9.04/6.62 (v90(constB164, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23157, 23156, 23124])).
% 9.04/6.62 tff(23159,plain,
% 9.04/6.62 ((~(v90(constB165, bitIndex2) <=> v90(constB164, bitIndex2))) | v90(constB165, bitIndex2) | (~v90(constB164, bitIndex2))),
% 9.04/6.62 inference(tautology,[status(thm)],[])).
% 9.04/6.62 tff(23160,plain,
% 9.04/6.62 (v90(constB165, bitIndex2)),
% 9.04/6.62 inference(unit_resolution,[status(thm)],[23159, 23158, 2088])).
% 9.04/6.62 tff(23161,plain,
% 9.04/6.62 (((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23162,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23163,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23162, 23161])).
% 9.04/6.63 tff(23164,plain,
% 9.04/6.63 (v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23163, 9653, 2084])).
% 9.04/6.63 tff(23165,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23166,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23167,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex0)) | (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23166, 23165])).
% 9.04/6.63 tff(23168,plain,
% 9.04/6.63 (v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23167, 9653, 23120])).
% 9.04/6.63 tff(23169,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23170,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23171,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex0)) | (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23170, 23169])).
% 9.04/6.63 tff(23172,plain,
% 9.04/6.63 (v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23171, 9653, 23128])).
% 9.04/6.63 tff(23173,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23174,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23175,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex0)) | (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 9.04/6.63 tff(23176,plain,
% 9.04/6.63 (v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23175, 9653, 23136])).
% 9.04/6.63 tff(23177,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b100(bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23178,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b100(bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23179,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB163, bitIndex0) <=> b100(bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 9.04/6.63 tff(23180,plain,
% 9.04/6.63 (v130(constB163, bitIndex0) <=> b100(bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23179, 9653, 23145])).
% 9.04/6.63 tff(23181,plain,
% 9.04/6.63 ((~(v130(constB163, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB163, bitIndex0)) | b100(bitIndex0)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23182,plain,
% 9.04/6.63 ((~(v130(constB163, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB163, bitIndex0))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23181, 10429])).
% 9.04/6.63 tff(23183,plain,
% 9.04/6.63 (~v130(constB163, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23182, 23180])).
% 9.04/6.63 tff(23184,plain,
% 9.04/6.63 ((~(v127(constB163, bitIndex0) <=> v130(constB163, bitIndex0))) | (~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23185,plain,
% 9.04/6.63 (~v127(constB163, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23184, 23183, 23176])).
% 9.04/6.63 tff(23186,plain,
% 9.04/6.63 ((~(v129(constB164, bitIndex0) <=> v127(constB163, bitIndex0))) | (~v129(constB164, bitIndex0)) | v127(constB163, bitIndex0)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23187,plain,
% 9.04/6.63 (~v129(constB164, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23186, 23185, 23172])).
% 9.04/6.63 tff(23188,plain,
% 9.04/6.63 ((~(v90(constB164, bitIndex0) <=> v129(constB164, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23189,plain,
% 9.04/6.63 (~v90(constB164, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23188, 23187, 23168])).
% 9.04/6.63 tff(23190,plain,
% 9.04/6.63 ((~(v90(constB165, bitIndex0) <=> v90(constB164, bitIndex0))) | (~v90(constB165, bitIndex0)) | v90(constB164, bitIndex0)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23191,plain,
% 9.04/6.63 (~v90(constB165, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23190, 23189, 23164])).
% 9.04/6.63 tff(23192,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23193,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23194,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB165, B) <=> v90(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23193, 23192])).
% 9.04/6.63 tff(23195,plain,
% 9.04/6.63 (v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23194, 375, 2084])).
% 9.04/6.63 tff(23196,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23197,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | ((~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23198,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB164, B) <=> v129(constB164, B)))) | (~less_3(bitIndex1)) | (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23197, 23196])).
% 9.04/6.63 tff(23199,plain,
% 9.04/6.63 (v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23198, 375, 23120])).
% 9.04/6.63 tff(23200,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23201,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | ((~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23202,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB164, B) <=> v127(constB163, B)))) | (~less_3(bitIndex1)) | (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23201, 23200])).
% 9.04/6.63 tff(23203,plain,
% 9.04/6.63 (v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23202, 375, 23128])).
% 9.04/6.63 tff(23204,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23205,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | ((~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23206,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB163, B) <=> v130(constB163, B)))) | (~less_3(bitIndex1)) | (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23205, 23204])).
% 9.04/6.63 tff(23207,plain,
% 9.04/6.63 (v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23206, 375, 23136])).
% 9.04/6.63 tff(23208,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b100(bitIndex1)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23209,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b100(bitIndex1)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23210,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB163, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB163, bitIndex1) <=> b100(bitIndex1))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23209, 23208])).
% 9.04/6.63 tff(23211,plain,
% 9.04/6.63 (v130(constB163, bitIndex1) <=> b100(bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23210, 375, 23145])).
% 9.04/6.63 tff(23212,plain,
% 9.04/6.63 ((~(v130(constB163, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB163, bitIndex1)) | b100(bitIndex1)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23213,plain,
% 9.04/6.63 ((~(v130(constB163, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB163, bitIndex1))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23212, 10463])).
% 9.04/6.63 tff(23214,plain,
% 9.04/6.63 (~v130(constB163, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23213, 23211])).
% 9.04/6.63 tff(23215,plain,
% 9.04/6.63 ((~(v127(constB163, bitIndex1) <=> v130(constB163, bitIndex1))) | (~v127(constB163, bitIndex1)) | v130(constB163, bitIndex1)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23216,plain,
% 9.04/6.63 (~v127(constB163, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23215, 23214, 23207])).
% 9.04/6.63 tff(23217,plain,
% 9.04/6.63 ((~(v129(constB164, bitIndex1) <=> v127(constB163, bitIndex1))) | (~v129(constB164, bitIndex1)) | v127(constB163, bitIndex1)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23218,plain,
% 9.04/6.63 (~v129(constB164, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23217, 23216, 23203])).
% 9.04/6.63 tff(23219,plain,
% 9.04/6.63 ((~(v90(constB164, bitIndex1) <=> v129(constB164, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23220,plain,
% 9.04/6.63 (~v90(constB164, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23219, 23218, 23199])).
% 9.04/6.63 tff(23221,plain,
% 9.04/6.63 ((~(v90(constB165, bitIndex1) <=> v90(constB164, bitIndex1))) | (~v90(constB165, bitIndex1)) | v90(constB164, bitIndex1)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23222,plain,
% 9.04/6.63 (~v90(constB165, bitIndex1)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23221, 23220, 23195])).
% 9.04/6.63 tff(23223,plain,
% 9.04/6.63 ((~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23224,plain,
% 9.04/6.63 (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23223, 23222, 23191, 23160])).
% 9.04/6.63 tff(23225,plain,
% 9.04/6.63 ((~(v123(constB165) <=> (~((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))))) | v123(constB165) | ((~v90(constB165, bitIndex2)) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23226,plain,
% 9.04/6.63 (v123(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23225, 23224, 2056])).
% 9.04/6.63 tff(23227,plain,
% 9.04/6.63 ((v116(constB165) | v123(constB165)) | (~v123(constB165))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23228,plain,
% 9.04/6.63 (v116(constB165) | v123(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23227, 23226])).
% 9.04/6.63 tff(23229,plain,
% 9.04/6.63 ((~(v115(constB165) <=> (v116(constB165) | v123(constB165)))) | v115(constB165) | (~(v116(constB165) | v123(constB165)))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23230,plain,
% 9.04/6.63 (v115(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23229, 23228, 2049])).
% 9.04/6.63 tff(23231,plain,
% 9.04/6.63 ((v115(constB165) | v124(constB165)) | (~v115(constB165))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23232,plain,
% 9.04/6.63 (v115(constB165) | v124(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23231, 23230])).
% 9.04/6.63 tff(23233,plain,
% 9.04/6.63 ((~(v114(constB165) <=> (v115(constB165) | v124(constB165)))) | v114(constB165) | (~(v115(constB165) | v124(constB165)))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23234,plain,
% 9.04/6.63 (v114(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23233, 23232, 2047])).
% 9.04/6.63 tff(23235,plain,
% 9.04/6.63 ((v114(constB165) | v125(constB165)) | (~v114(constB165))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23236,plain,
% 9.04/6.63 (v114(constB165) | v125(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23235, 23234])).
% 9.04/6.63 tff(23237,plain,
% 9.04/6.63 ((~(v113(constB165) <=> (v114(constB165) | v125(constB165)))) | v113(constB165) | (~(v114(constB165) | v125(constB165)))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23238,plain,
% 9.04/6.63 (v113(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23237, 23236, 2045])).
% 9.04/6.63 tff(23239,plain,
% 9.04/6.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB165)) <=> v111(constB165))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23240,plain,
% 9.04/6.63 ((~v126(constB165)) <=> v111(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23239, 9720])).
% 9.04/6.63 tff(23241,plain,
% 9.04/6.63 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB165) <=> v26(constB165))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23242,plain,
% 9.04/6.63 (v111(constB165) <=> v26(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23241, 9732])).
% 9.04/6.63 tff(23243,plain,
% 9.04/6.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23244,plain,
% 9.04/6.63 (~v26(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23243, 9744])).
% 9.04/6.63 tff(23245,plain,
% 9.04/6.63 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165)) | v26(constB165)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23246,plain,
% 9.04/6.63 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23245, 23244])).
% 9.04/6.63 tff(23247,plain,
% 9.04/6.63 (~v111(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23246, 23242])).
% 9.04/6.63 tff(23248,plain,
% 9.04/6.63 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165) | v111(constB165)),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23249,plain,
% 9.04/6.63 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23248, 23247])).
% 9.04/6.63 tff(23250,plain,
% 9.04/6.63 (v126(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23249, 23240])).
% 9.04/6.63 tff(23251,plain,
% 9.04/6.63 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165)) | (~v126(constB165))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23252,plain,
% 9.04/6.63 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23251, 23250])).
% 9.04/6.63 tff(23253,plain,
% 9.04/6.63 (~((~v113(constB165)) | (~v126(constB165)))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23252, 23238])).
% 9.04/6.63 tff(23254,plain,
% 9.04/6.63 ((~(v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))) | v112(constB165) | ((~v113(constB165)) | (~v126(constB165)))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23255,plain,
% 9.04/6.63 (v112(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23254, 23253, 2043])).
% 9.04/6.63 tff(23256,plain,
% 9.04/6.63 ((v111(constB165) | v112(constB165)) | (~v112(constB165))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23257,plain,
% 9.04/6.63 (v111(constB165) | v112(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23256, 23255])).
% 9.04/6.63 tff(23258,plain,
% 9.04/6.63 ((~(v108(constB165) <=> (v111(constB165) | v112(constB165)))) | v108(constB165) | (~(v111(constB165) | v112(constB165)))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23259,plain,
% 9.04/6.63 (v108(constB165)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23258, 23257, 2041])).
% 9.04/6.63 tff(23260,plain,
% 9.04/6.63 ((~(v110(constB166) <=> v108(constB165))) | v110(constB166) | (~v108(constB165))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23261,plain,
% 9.04/6.63 (v110(constB166)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23260, 23259, 2039])).
% 9.04/6.63 tff(23262,plain,
% 9.04/6.63 ((~((~v101(constB166)) | (~v110(constB166)))) | (~v101(constB166)) | (~v110(constB166))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23263,plain,
% 9.04/6.63 (~((~v101(constB166)) | (~v110(constB166)))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23262, 23261, 2035])).
% 9.04/6.63 tff(23264,plain,
% 9.04/6.63 ((~(v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))) | v100(constB166) | ((~v101(constB166)) | (~v110(constB166)))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23265,plain,
% 9.04/6.63 (v100(constB166)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23264, 23263, 2004])).
% 9.04/6.63 tff(23266,plain,
% 9.04/6.63 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B))))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23267,plain,
% 9.04/6.63 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B))))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23268,plain,
% 9.04/6.63 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23267, 23266])).
% 9.04/6.63 tff(23269,plain,
% 9.04/6.63 ((~v100(constB166)) | ![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23268, 9780])).
% 9.04/6.63 tff(23270,plain,
% 9.04/6.63 (![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23269, 23265])).
% 9.04/6.63 tff(23271,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23272,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23273,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex2)) | (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23272, 23271])).
% 9.04/6.63 tff(23274,plain,
% 9.04/6.63 (v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23273, 648, 23270])).
% 9.04/6.63 tff(23275,plain,
% 9.04/6.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B))))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23276,plain,
% 9.04/6.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B))))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23277,plain,
% 9.04/6.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23276, 23275])).
% 9.04/6.63 tff(23278,plain,
% 9.04/6.63 (![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23277, 2000, 9802])).
% 9.04/6.63 tff(23279,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23280,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23281,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex2)) | (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23280, 23279])).
% 9.04/6.63 tff(23282,plain,
% 9.04/6.63 (v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23281, 648, 23278])).
% 9.04/6.63 tff(23283,plain,
% 9.04/6.63 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB165) | ![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB165) | ![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B))))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23284,plain,
% 9.04/6.63 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB165) | ![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B))))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23285,plain,
% 9.04/6.63 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB165) | ![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23284, 23283])).
% 9.04/6.63 tff(23286,plain,
% 9.04/6.63 (![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23285, 9823, 23247])).
% 9.04/6.63 tff(23287,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23288,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23289,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex2)) | (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23288, 23287])).
% 9.04/6.63 tff(23290,plain,
% 9.04/6.63 (v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23289, 648, 23286])).
% 9.04/6.63 tff(23291,plain,
% 9.04/6.63 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB165)) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB165)) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B))))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23292,plain,
% 9.04/6.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB165)) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B))))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23293,plain,
% 9.04/6.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB165)) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23292, 23291])).
% 9.04/6.63 tff(23294,plain,
% 9.04/6.63 ((~v123(constB165)) | ![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23293, 10555])).
% 9.04/6.63 tff(23295,plain,
% 9.04/6.63 (![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23294, 23226])).
% 9.04/6.63 tff(23296,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b101(bitIndex2)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23297,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b101(bitIndex2)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23298,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB165, bitIndex2) <=> b101(bitIndex2))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 9.04/6.63 tff(23299,plain,
% 9.04/6.63 (v130(constB165, bitIndex2) <=> b101(bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23298, 648, 23295])).
% 9.04/6.63 tff(23300,plain,
% 9.04/6.63 ((~(v130(constB165, bitIndex2) <=> b101(bitIndex2))) | v130(constB165, bitIndex2) | (~b101(bitIndex2))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23301,plain,
% 9.04/6.63 ((~(v130(constB165, bitIndex2) <=> b101(bitIndex2))) | v130(constB165, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23300, 10567])).
% 9.04/6.63 tff(23302,plain,
% 9.04/6.63 (v130(constB165, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23301, 23299])).
% 9.04/6.63 tff(23303,plain,
% 9.04/6.63 ((~(v127(constB165, bitIndex2) <=> v130(constB165, bitIndex2))) | v127(constB165, bitIndex2) | (~v130(constB165, bitIndex2))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23304,plain,
% 9.04/6.63 (v127(constB165, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23303, 23302, 23290])).
% 9.04/6.63 tff(23305,plain,
% 9.04/6.63 ((~(v129(constB166, bitIndex2) <=> v127(constB165, bitIndex2))) | v129(constB166, bitIndex2) | (~v127(constB165, bitIndex2))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23306,plain,
% 9.04/6.63 (v129(constB166, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23305, 23304, 23282])).
% 9.04/6.63 tff(23307,plain,
% 9.04/6.63 ((~(v90(constB166, bitIndex2) <=> v129(constB166, bitIndex2))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23308,plain,
% 9.04/6.63 (v90(constB166, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23307, 23306, 23274])).
% 9.04/6.63 tff(23309,plain,
% 9.04/6.63 ((~(v90(constB167, bitIndex2) <=> v90(constB166, bitIndex2))) | v90(constB167, bitIndex2) | (~v90(constB166, bitIndex2))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23310,plain,
% 9.04/6.63 (v90(constB167, bitIndex2)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23309, 23308, 1997])).
% 9.04/6.63 tff(23311,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23312,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23313,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23312, 23311])).
% 9.04/6.63 tff(23314,plain,
% 9.04/6.63 (v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23313, 9653, 1993])).
% 9.04/6.63 tff(23315,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23316,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23317,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex0)) | (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23316, 23315])).
% 9.04/6.63 tff(23318,plain,
% 9.04/6.63 (v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23317, 9653, 23270])).
% 9.04/6.63 tff(23319,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23320,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23321,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex0)) | (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23320, 23319])).
% 9.04/6.63 tff(23322,plain,
% 9.04/6.63 (v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23321, 9653, 23278])).
% 9.04/6.63 tff(23323,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23324,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23325,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex0)) | (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23324, 23323])).
% 9.04/6.63 tff(23326,plain,
% 9.04/6.63 (v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23325, 9653, 23286])).
% 9.04/6.63 tff(23327,plain,
% 9.04/6.63 (((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b101(bitIndex0)))),
% 9.04/6.63 inference(rewrite,[status(thm)],[])).
% 9.04/6.63 tff(23328,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b101(bitIndex0)))),
% 9.04/6.63 inference(quant_inst,[status(thm)],[])).
% 9.04/6.63 tff(23329,plain,
% 9.04/6.63 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB165, bitIndex0) <=> b101(bitIndex0))),
% 9.04/6.63 inference(modus_ponens,[status(thm)],[23328, 23327])).
% 9.04/6.63 tff(23330,plain,
% 9.04/6.63 (v130(constB165, bitIndex0) <=> b101(bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23329, 9653, 23295])).
% 9.04/6.63 tff(23331,plain,
% 9.04/6.63 ((~(v130(constB165, bitIndex0) <=> b101(bitIndex0))) | v130(constB165, bitIndex0) | (~b101(bitIndex0))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23332,plain,
% 9.04/6.63 ((~(v130(constB165, bitIndex0) <=> b101(bitIndex0))) | v130(constB165, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23331, 10601])).
% 9.04/6.63 tff(23333,plain,
% 9.04/6.63 (v130(constB165, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23332, 23330])).
% 9.04/6.63 tff(23334,plain,
% 9.04/6.63 ((~(v127(constB165, bitIndex0) <=> v130(constB165, bitIndex0))) | v127(constB165, bitIndex0) | (~v130(constB165, bitIndex0))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23335,plain,
% 9.04/6.63 (v127(constB165, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23334, 23333, 23326])).
% 9.04/6.63 tff(23336,plain,
% 9.04/6.63 ((~(v129(constB166, bitIndex0) <=> v127(constB165, bitIndex0))) | v129(constB166, bitIndex0) | (~v127(constB165, bitIndex0))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23337,plain,
% 9.04/6.63 (v129(constB166, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23336, 23335, 23322])).
% 9.04/6.63 tff(23338,plain,
% 9.04/6.63 ((~(v90(constB166, bitIndex0) <=> v129(constB166, bitIndex0))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23339,plain,
% 9.04/6.63 (v90(constB166, bitIndex0)),
% 9.04/6.63 inference(unit_resolution,[status(thm)],[23338, 23337, 23318])).
% 9.04/6.63 tff(23340,plain,
% 9.04/6.63 ((~(v90(constB167, bitIndex0) <=> v90(constB166, bitIndex0))) | v90(constB167, bitIndex0) | (~v90(constB166, bitIndex0))),
% 9.04/6.63 inference(tautology,[status(thm)],[])).
% 9.04/6.63 tff(23341,plain,
% 9.04/6.64 (v90(constB167, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23340, 23339, 23314])).
% 9.04/6.64 tff(23342,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23343,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23344,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB167, B) <=> v90(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23343, 23342])).
% 9.04/6.64 tff(23345,plain,
% 9.04/6.64 (v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23344, 375, 1993])).
% 9.04/6.64 tff(23346,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23347,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | ((~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23348,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB166, B) <=> v129(constB166, B)))) | (~less_3(bitIndex1)) | (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23347, 23346])).
% 9.04/6.64 tff(23349,plain,
% 9.04/6.64 (v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23348, 375, 23270])).
% 9.04/6.64 tff(23350,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23351,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | ((~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23352,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB166, B) <=> v127(constB165, B)))) | (~less_3(bitIndex1)) | (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23351, 23350])).
% 9.04/6.64 tff(23353,plain,
% 9.04/6.64 (v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23352, 375, 23278])).
% 9.04/6.64 tff(23354,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23355,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | ((~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23356,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB165, B) <=> v130(constB165, B)))) | (~less_3(bitIndex1)) | (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23355, 23354])).
% 9.04/6.64 tff(23357,plain,
% 9.04/6.64 (v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23356, 375, 23286])).
% 9.04/6.64 tff(23358,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b101(bitIndex1)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23359,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b101(bitIndex1)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23360,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB165, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB165, bitIndex1) <=> b101(bitIndex1))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23359, 23358])).
% 9.04/6.64 tff(23361,plain,
% 9.04/6.64 (v130(constB165, bitIndex1) <=> b101(bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23360, 375, 23295])).
% 9.04/6.64 tff(23362,plain,
% 9.04/6.64 ((~(v130(constB165, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB165, bitIndex1)) | b101(bitIndex1)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23363,plain,
% 9.04/6.64 ((~(v130(constB165, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB165, bitIndex1))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23362, 10635])).
% 9.04/6.64 tff(23364,plain,
% 9.04/6.64 (~v130(constB165, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23363, 23361])).
% 9.04/6.64 tff(23365,plain,
% 9.04/6.64 ((~(v127(constB165, bitIndex1) <=> v130(constB165, bitIndex1))) | (~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23366,plain,
% 9.04/6.64 (~v127(constB165, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23365, 23364, 23357])).
% 9.04/6.64 tff(23367,plain,
% 9.04/6.64 ((~(v129(constB166, bitIndex1) <=> v127(constB165, bitIndex1))) | (~v129(constB166, bitIndex1)) | v127(constB165, bitIndex1)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23368,plain,
% 9.04/6.64 (~v129(constB166, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23367, 23366, 23353])).
% 9.04/6.64 tff(23369,plain,
% 9.04/6.64 ((~(v90(constB166, bitIndex1) <=> v129(constB166, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23370,plain,
% 9.04/6.64 (~v90(constB166, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23369, 23368, 23349])).
% 9.04/6.64 tff(23371,plain,
% 9.04/6.64 ((~(v90(constB167, bitIndex1) <=> v90(constB166, bitIndex1))) | (~v90(constB167, bitIndex1)) | v90(constB166, bitIndex1)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23372,plain,
% 9.04/6.64 (~v90(constB167, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23371, 23370, 23345])).
% 9.04/6.64 tff(23373,plain,
% 9.04/6.64 ((~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))) | (~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23374,plain,
% 9.04/6.64 (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23373, 23372, 23341, 23310])).
% 9.04/6.64 tff(23375,plain,
% 9.04/6.64 ((~(v124(constB167) <=> (~((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))))) | v124(constB167) | ((~v90(constB167, bitIndex2)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23376,plain,
% 9.04/6.64 (v124(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23375, 23374, 1965])).
% 9.04/6.64 tff(23377,plain,
% 9.04/6.64 ((v115(constB167) | v124(constB167)) | (~v124(constB167))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23378,plain,
% 9.04/6.64 (v115(constB167) | v124(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23377, 23376])).
% 9.04/6.64 tff(23379,plain,
% 9.04/6.64 ((~(v114(constB167) <=> (v115(constB167) | v124(constB167)))) | v114(constB167) | (~(v115(constB167) | v124(constB167)))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23380,plain,
% 9.04/6.64 (v114(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23379, 23378, 1958])).
% 9.04/6.64 tff(23381,plain,
% 9.04/6.64 ((v114(constB167) | v125(constB167)) | (~v114(constB167))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23382,plain,
% 9.04/6.64 (v114(constB167) | v125(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23381, 23380])).
% 9.04/6.64 tff(23383,plain,
% 9.04/6.64 ((~(v113(constB167) <=> (v114(constB167) | v125(constB167)))) | v113(constB167) | (~(v114(constB167) | v125(constB167)))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23384,plain,
% 9.04/6.64 (v113(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23383, 23382, 1956])).
% 9.04/6.64 tff(23385,plain,
% 9.04/6.64 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB167)) <=> v111(constB167))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23386,plain,
% 9.04/6.64 ((~v126(constB167)) <=> v111(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23385, 9720])).
% 9.04/6.64 tff(23387,plain,
% 9.04/6.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB167) <=> v26(constB167))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23388,plain,
% 9.04/6.64 (v111(constB167) <=> v26(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23387, 9732])).
% 9.04/6.64 tff(23389,plain,
% 9.04/6.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23390,plain,
% 9.04/6.64 (~v26(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23389, 9744])).
% 9.04/6.64 tff(23391,plain,
% 9.04/6.64 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167)) | v26(constB167)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23392,plain,
% 9.04/6.64 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23391, 23390])).
% 9.04/6.64 tff(23393,plain,
% 9.04/6.64 (~v111(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23392, 23388])).
% 9.04/6.64 tff(23394,plain,
% 9.04/6.64 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167) | v111(constB167)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23395,plain,
% 9.04/6.64 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23394, 23393])).
% 9.04/6.64 tff(23396,plain,
% 9.04/6.64 (v126(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23395, 23386])).
% 9.04/6.64 tff(23397,plain,
% 9.04/6.64 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167)) | (~v126(constB167))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23398,plain,
% 9.04/6.64 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23397, 23396])).
% 9.04/6.64 tff(23399,plain,
% 9.04/6.64 (~((~v113(constB167)) | (~v126(constB167)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23398, 23384])).
% 9.04/6.64 tff(23400,plain,
% 9.04/6.64 ((~(v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))) | v112(constB167) | ((~v113(constB167)) | (~v126(constB167)))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23401,plain,
% 9.04/6.64 (v112(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23400, 23399, 1954])).
% 9.04/6.64 tff(23402,plain,
% 9.04/6.64 ((v111(constB167) | v112(constB167)) | (~v112(constB167))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23403,plain,
% 9.04/6.64 (v111(constB167) | v112(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23402, 23401])).
% 9.04/6.64 tff(23404,plain,
% 9.04/6.64 ((~(v108(constB167) <=> (v111(constB167) | v112(constB167)))) | v108(constB167) | (~(v111(constB167) | v112(constB167)))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23405,plain,
% 9.04/6.64 (v108(constB167)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23404, 23403, 1952])).
% 9.04/6.64 tff(23406,plain,
% 9.04/6.64 ((~(v110(constB168) <=> v108(constB167))) | v110(constB168) | (~v108(constB167))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23407,plain,
% 9.04/6.64 (v110(constB168)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23406, 23405, 1950])).
% 9.04/6.64 tff(23408,plain,
% 9.04/6.64 ((~((~v101(constB168)) | (~v110(constB168)))) | (~v101(constB168)) | (~v110(constB168))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23409,plain,
% 9.04/6.64 (~((~v101(constB168)) | (~v110(constB168)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23408, 23407, 1946])).
% 9.04/6.64 tff(23410,plain,
% 9.04/6.64 ((~(v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))) | v100(constB168) | ((~v101(constB168)) | (~v110(constB168)))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23411,plain,
% 9.04/6.64 (v100(constB168)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23410, 23409, 1915])).
% 9.04/6.64 tff(23412,plain,
% 9.04/6.64 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B))))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23413,plain,
% 9.04/6.64 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B))))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23414,plain,
% 9.04/6.64 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23413, 23412])).
% 9.04/6.64 tff(23415,plain,
% 9.04/6.64 ((~v100(constB168)) | ![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23414, 9780])).
% 9.04/6.64 tff(23416,plain,
% 9.04/6.64 (![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23415, 23411])).
% 9.04/6.64 tff(23417,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23418,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23419,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex2)) | (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23418, 23417])).
% 9.04/6.64 tff(23420,plain,
% 9.04/6.64 (v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23419, 648, 23416])).
% 9.04/6.64 tff(23421,plain,
% 9.04/6.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B))))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23422,plain,
% 9.04/6.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B))))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23423,plain,
% 9.04/6.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23422, 23421])).
% 9.04/6.64 tff(23424,plain,
% 9.04/6.64 (![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23423, 1911, 9802])).
% 9.04/6.64 tff(23425,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23426,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23427,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex2)) | (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23426, 23425])).
% 9.04/6.64 tff(23428,plain,
% 9.04/6.64 (v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23427, 648, 23424])).
% 9.04/6.64 tff(23429,plain,
% 9.04/6.64 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB167) | ![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB167) | ![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B))))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23430,plain,
% 9.04/6.64 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB167) | ![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B))))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23431,plain,
% 9.04/6.64 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB167) | ![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23430, 23429])).
% 9.04/6.64 tff(23432,plain,
% 9.04/6.64 (![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23431, 9823, 23393])).
% 9.04/6.64 tff(23433,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23434,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23435,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex2)) | (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23434, 23433])).
% 9.04/6.64 tff(23436,plain,
% 9.04/6.64 (v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23435, 648, 23432])).
% 9.04/6.64 tff(23437,plain,
% 9.04/6.64 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B))))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23438,plain,
% 9.04/6.64 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B))))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23439,plain,
% 9.04/6.64 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 9.04/6.64 tff(23440,plain,
% 9.04/6.64 ((~v124(constB167)) | ![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23439, 10723])).
% 9.04/6.64 tff(23441,plain,
% 9.04/6.64 (![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23440, 23376])).
% 9.04/6.64 tff(23442,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b110(bitIndex2)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23443,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b110(bitIndex2)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23444,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB167, bitIndex2) <=> b110(bitIndex2))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23443, 23442])).
% 9.04/6.64 tff(23445,plain,
% 9.04/6.64 (v130(constB167, bitIndex2) <=> b110(bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23444, 648, 23441])).
% 9.04/6.64 tff(23446,plain,
% 9.04/6.64 ((~(v130(constB167, bitIndex2) <=> b110(bitIndex2))) | v130(constB167, bitIndex2) | (~b110(bitIndex2))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23447,plain,
% 9.04/6.64 ((~(v130(constB167, bitIndex2) <=> b110(bitIndex2))) | v130(constB167, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23446, 10735])).
% 9.04/6.64 tff(23448,plain,
% 9.04/6.64 (v130(constB167, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23447, 23445])).
% 9.04/6.64 tff(23449,plain,
% 9.04/6.64 ((~(v127(constB167, bitIndex2) <=> v130(constB167, bitIndex2))) | v127(constB167, bitIndex2) | (~v130(constB167, bitIndex2))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23450,plain,
% 9.04/6.64 (v127(constB167, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23449, 23448, 23436])).
% 9.04/6.64 tff(23451,plain,
% 9.04/6.64 ((~(v129(constB168, bitIndex2) <=> v127(constB167, bitIndex2))) | v129(constB168, bitIndex2) | (~v127(constB167, bitIndex2))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23452,plain,
% 9.04/6.64 (v129(constB168, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23451, 23450, 23428])).
% 9.04/6.64 tff(23453,plain,
% 9.04/6.64 ((~(v90(constB168, bitIndex2) <=> v129(constB168, bitIndex2))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23454,plain,
% 9.04/6.64 (v90(constB168, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23453, 23452, 23420])).
% 9.04/6.64 tff(23455,plain,
% 9.04/6.64 ((~(v90(constB169, bitIndex2) <=> v90(constB168, bitIndex2))) | v90(constB169, bitIndex2) | (~v90(constB168, bitIndex2))),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23456,plain,
% 9.04/6.64 (v90(constB169, bitIndex2)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23455, 23454, 1908])).
% 9.04/6.64 tff(23457,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23458,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23459,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23458, 23457])).
% 9.04/6.64 tff(23460,plain,
% 9.04/6.64 (v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23459, 9653, 1904])).
% 9.04/6.64 tff(23461,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23462,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23463,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex0)) | (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23462, 23461])).
% 9.04/6.64 tff(23464,plain,
% 9.04/6.64 (v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23463, 9653, 23416])).
% 9.04/6.64 tff(23465,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23466,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23467,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex0)) | (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23466, 23465])).
% 9.04/6.64 tff(23468,plain,
% 9.04/6.64 (v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23467, 9653, 23424])).
% 9.04/6.64 tff(23469,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23470,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23471,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex0)) | (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23470, 23469])).
% 9.04/6.64 tff(23472,plain,
% 9.04/6.64 (v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23471, 9653, 23432])).
% 9.04/6.64 tff(23473,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b110(bitIndex0)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23474,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b110(bitIndex0)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23475,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB167, bitIndex0) <=> b110(bitIndex0))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23474, 23473])).
% 9.04/6.64 tff(23476,plain,
% 9.04/6.64 (v130(constB167, bitIndex0) <=> b110(bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23475, 9653, 23441])).
% 9.04/6.64 tff(23477,plain,
% 9.04/6.64 ((~(v130(constB167, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB167, bitIndex0)) | b110(bitIndex0)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23478,plain,
% 9.04/6.64 ((~(v130(constB167, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB167, bitIndex0))),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23477, 10769])).
% 9.04/6.64 tff(23479,plain,
% 9.04/6.64 (~v130(constB167, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23478, 23476])).
% 9.04/6.64 tff(23480,plain,
% 9.04/6.64 ((~(v127(constB167, bitIndex0) <=> v130(constB167, bitIndex0))) | (~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23481,plain,
% 9.04/6.64 (~v127(constB167, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23480, 23479, 23472])).
% 9.04/6.64 tff(23482,plain,
% 9.04/6.64 ((~(v129(constB168, bitIndex0) <=> v127(constB167, bitIndex0))) | (~v129(constB168, bitIndex0)) | v127(constB167, bitIndex0)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23483,plain,
% 9.04/6.64 (~v129(constB168, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23482, 23481, 23468])).
% 9.04/6.64 tff(23484,plain,
% 9.04/6.64 ((~(v90(constB168, bitIndex0) <=> v129(constB168, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23485,plain,
% 9.04/6.64 (~v90(constB168, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23484, 23483, 23464])).
% 9.04/6.64 tff(23486,plain,
% 9.04/6.64 ((~(v90(constB169, bitIndex0) <=> v90(constB168, bitIndex0))) | (~v90(constB169, bitIndex0)) | v90(constB168, bitIndex0)),
% 9.04/6.64 inference(tautology,[status(thm)],[])).
% 9.04/6.64 tff(23487,plain,
% 9.04/6.64 (~v90(constB169, bitIndex0)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23486, 23485, 23460])).
% 9.04/6.64 tff(23488,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23489,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23490,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB169, B) <=> v90(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23489, 23488])).
% 9.04/6.64 tff(23491,plain,
% 9.04/6.64 (v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23490, 375, 1904])).
% 9.04/6.64 tff(23492,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23493,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | ((~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23494,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v90(constB168, B) <=> v129(constB168, B)))) | (~less_3(bitIndex1)) | (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1))),
% 9.04/6.64 inference(modus_ponens,[status(thm)],[23493, 23492])).
% 9.04/6.64 tff(23495,plain,
% 9.04/6.64 (v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1)),
% 9.04/6.64 inference(unit_resolution,[status(thm)],[23494, 375, 23416])).
% 9.04/6.64 tff(23496,plain,
% 9.04/6.64 (((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)))),
% 9.04/6.64 inference(rewrite,[status(thm)],[])).
% 9.04/6.64 tff(23497,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | ((~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)))),
% 9.04/6.64 inference(quant_inst,[status(thm)],[])).
% 9.04/6.64 tff(23498,plain,
% 9.04/6.64 ((~![B: $i] : ((~less_3(B)) | (v129(constB168, B) <=> v127(constB167, B)))) | (~less_3(bitIndex1)) | (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23497, 23496])).
% 9.04/6.65 tff(23499,plain,
% 9.04/6.65 (v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23498, 375, 23424])).
% 9.04/6.65 tff(23500,plain,
% 9.04/6.65 (((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23501,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | ((~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23502,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB167, B) <=> v130(constB167, B)))) | (~less_3(bitIndex1)) | (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23501, 23500])).
% 9.04/6.65 tff(23503,plain,
% 9.04/6.65 (v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23502, 375, 23432])).
% 9.04/6.65 tff(23504,plain,
% 9.04/6.65 (((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b110(bitIndex1)))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23505,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b110(bitIndex1)))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23506,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v130(constB167, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB167, bitIndex1) <=> b110(bitIndex1))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23505, 23504])).
% 9.04/6.65 tff(23507,plain,
% 9.04/6.65 (v130(constB167, bitIndex1) <=> b110(bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23506, 375, 23441])).
% 9.04/6.65 tff(23508,plain,
% 9.04/6.65 ((~(v130(constB167, bitIndex1) <=> b110(bitIndex1))) | v130(constB167, bitIndex1) | (~b110(bitIndex1))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23509,plain,
% 9.04/6.65 ((~(v130(constB167, bitIndex1) <=> b110(bitIndex1))) | v130(constB167, bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23508, 10803])).
% 9.04/6.65 tff(23510,plain,
% 9.04/6.65 (v130(constB167, bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23509, 23507])).
% 9.04/6.65 tff(23511,plain,
% 9.04/6.65 ((~(v127(constB167, bitIndex1) <=> v130(constB167, bitIndex1))) | v127(constB167, bitIndex1) | (~v130(constB167, bitIndex1))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23512,plain,
% 9.04/6.65 (v127(constB167, bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23511, 23510, 23503])).
% 9.04/6.65 tff(23513,plain,
% 9.04/6.65 ((~(v129(constB168, bitIndex1) <=> v127(constB167, bitIndex1))) | v129(constB168, bitIndex1) | (~v127(constB167, bitIndex1))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23514,plain,
% 9.04/6.65 (v129(constB168, bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23513, 23512, 23499])).
% 9.04/6.65 tff(23515,plain,
% 9.04/6.65 ((~(v90(constB168, bitIndex1) <=> v129(constB168, bitIndex1))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23516,plain,
% 9.04/6.65 (v90(constB168, bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23515, 23514, 23495])).
% 9.04/6.65 tff(23517,plain,
% 9.04/6.65 ((~(v90(constB169, bitIndex1) <=> v90(constB168, bitIndex1))) | v90(constB169, bitIndex1) | (~v90(constB168, bitIndex1))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23518,plain,
% 9.04/6.65 (v90(constB169, bitIndex1)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23517, 23516, 23491])).
% 9.04/6.65 tff(23519,plain,
% 9.04/6.65 ((~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23520,plain,
% 9.04/6.65 (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23519, 23518, 23487, 23456])).
% 9.04/6.65 tff(23521,plain,
% 9.04/6.65 ((~(v125(constB169) <=> (~((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))) | v125(constB169) | ((~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23522,plain,
% 9.04/6.65 (v125(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23521, 23520, 1876])).
% 9.04/6.65 tff(23523,plain,
% 9.04/6.65 ((v114(constB169) | v125(constB169)) | (~v125(constB169))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23524,plain,
% 9.04/6.65 (v114(constB169) | v125(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23523, 23522])).
% 9.04/6.65 tff(23525,plain,
% 9.04/6.65 ((~(v113(constB169) <=> (v114(constB169) | v125(constB169)))) | v113(constB169) | (~(v114(constB169) | v125(constB169)))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23526,plain,
% 9.04/6.65 (v113(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23525, 23524, 1869])).
% 9.04/6.65 tff(23527,plain,
% 9.04/6.65 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB169)) <=> v111(constB169))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23528,plain,
% 9.04/6.65 ((~v126(constB169)) <=> v111(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23527, 9720])).
% 9.04/6.65 tff(23529,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB169) <=> v26(constB169))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23530,plain,
% 9.04/6.65 (v111(constB169) <=> v26(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23529, 9732])).
% 9.04/6.65 tff(23531,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23532,plain,
% 9.04/6.65 (~v26(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23531, 9744])).
% 9.04/6.65 tff(23533,plain,
% 9.04/6.65 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169)) | v26(constB169)),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23534,plain,
% 9.04/6.65 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23533, 23532])).
% 9.04/6.65 tff(23535,plain,
% 9.04/6.65 (~v111(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23534, 23530])).
% 9.04/6.65 tff(23536,plain,
% 9.04/6.65 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169) | v111(constB169)),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23537,plain,
% 9.04/6.65 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23536, 23535])).
% 9.04/6.65 tff(23538,plain,
% 9.04/6.65 (v126(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23537, 23528])).
% 9.04/6.65 tff(23539,plain,
% 9.04/6.65 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169)) | (~v126(constB169))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23540,plain,
% 9.04/6.65 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23539, 23538])).
% 9.04/6.65 tff(23541,plain,
% 9.04/6.65 (~((~v113(constB169)) | (~v126(constB169)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23540, 23526])).
% 9.04/6.65 tff(23542,plain,
% 9.04/6.65 ((~(v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))) | v112(constB169) | ((~v113(constB169)) | (~v126(constB169)))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23543,plain,
% 9.04/6.65 (v112(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23542, 23541, 1867])).
% 9.04/6.65 tff(23544,plain,
% 9.04/6.65 ((v111(constB169) | v112(constB169)) | (~v112(constB169))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23545,plain,
% 9.04/6.65 (v111(constB169) | v112(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23544, 23543])).
% 9.04/6.65 tff(23546,plain,
% 9.04/6.65 ((~(v108(constB169) <=> (v111(constB169) | v112(constB169)))) | v108(constB169) | (~(v111(constB169) | v112(constB169)))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23547,plain,
% 9.04/6.65 (v108(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23546, 23545, 1865])).
% 9.04/6.65 tff(23548,plain,
% 9.04/6.65 ((~(v110(constB170) <=> v108(constB169))) | v110(constB170) | (~v108(constB169))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23549,plain,
% 9.04/6.65 (v110(constB170)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23548, 23547, 1863])).
% 9.04/6.65 tff(23550,plain,
% 9.04/6.65 ((~((~v101(constB170)) | (~v110(constB170)))) | (~v101(constB170)) | (~v110(constB170))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23551,plain,
% 9.04/6.65 (~((~v101(constB170)) | (~v110(constB170)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23550, 23549, 1859])).
% 9.04/6.65 tff(23552,plain,
% 9.04/6.65 ((~(v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))) | v100(constB170) | ((~v101(constB170)) | (~v110(constB170)))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23553,plain,
% 9.04/6.65 (v100(constB170)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23552, 23551, 1828])).
% 9.04/6.65 tff(23554,plain,
% 9.04/6.65 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23555,plain,
% 9.04/6.65 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B))))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23556,plain,
% 9.04/6.65 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23555, 23554])).
% 9.04/6.65 tff(23557,plain,
% 9.04/6.65 ((~v100(constB170)) | ![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23556, 9780])).
% 9.04/6.65 tff(23558,plain,
% 9.04/6.65 (![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23557, 23553])).
% 9.04/6.65 tff(23559,plain,
% 9.04/6.65 (((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23560,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23561,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex2)) | (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23560, 23559])).
% 9.04/6.65 tff(23562,plain,
% 9.04/6.65 (v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23561, 648, 23558])).
% 9.04/6.65 tff(23563,plain,
% 9.04/6.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23564,plain,
% 9.04/6.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B))))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23565,plain,
% 9.04/6.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23564, 23563])).
% 9.04/6.65 tff(23566,plain,
% 9.04/6.65 (![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23565, 1824, 9802])).
% 9.04/6.65 tff(23567,plain,
% 9.04/6.65 (((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23568,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23569,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex2)) | (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23568, 23567])).
% 9.04/6.65 tff(23570,plain,
% 9.04/6.65 (v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23569, 648, 23566])).
% 9.04/6.65 tff(23571,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB169) | ![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB169) | ![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23572,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB169) | ![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B))))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23573,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB169) | ![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23572, 23571])).
% 9.04/6.65 tff(23574,plain,
% 9.04/6.65 (![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23573, 9823, 23535])).
% 9.04/6.65 tff(23575,plain,
% 9.04/6.65 (((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23576,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23577,plain,
% 9.04/6.65 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex2)) | (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23576, 23575])).
% 9.04/6.65 tff(23578,plain,
% 9.04/6.65 (v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23577, 648, 23574])).
% 9.04/6.65 tff(23579,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23580,plain,
% 9.04/6.65 (v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23579, 9620])).
% 9.04/6.65 tff(23581,plain,
% 9.04/6.65 ((v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex2))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23582,plain,
% 9.04/6.65 (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23581, 23456])).
% 9.04/6.65 tff(23583,plain,
% 9.04/6.65 ((~(v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))))) | (~v119(constB169)) | (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23584,plain,
% 9.04/6.65 (~v119(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23583, 23582, 23580])).
% 9.04/6.65 tff(23585,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23586,plain,
% 9.04/6.65 ((v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2))))) <=> (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23587,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.65 inference(monotonicity,[status(thm)],[23586])).
% 9.04/6.65 tff(23588,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.65 inference(transitivity,[status(thm)],[23587, 23585])).
% 9.04/6.65 tff(23589,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2)))))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23590,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23589, 23588])).
% 9.04/6.65 tff(23591,plain,
% 9.04/6.65 (v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23590, 815])).
% 9.04/6.65 tff(23592,plain,
% 9.04/6.65 (((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex1))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23593,plain,
% 9.04/6.65 ((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23592, 23518])).
% 9.04/6.65 tff(23594,plain,
% 9.04/6.65 ((~(v124(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))) | (~v124(constB169)) | (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23595,plain,
% 9.04/6.65 (~v124(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23594, 23593, 23591])).
% 9.04/6.65 tff(23596,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23597,plain,
% 9.04/6.65 ((v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2))))) <=> (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23598,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(monotonicity,[status(thm)],[23597])).
% 9.04/6.65 tff(23599,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(transitivity,[status(thm)],[23598, 23596])).
% 9.04/6.65 tff(23600,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)))))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23601,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0))))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23600, 23599])).
% 9.04/6.65 tff(23602,plain,
% 9.04/6.65 (v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23601, 919])).
% 9.04/6.65 tff(23603,plain,
% 9.04/6.65 (((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23604,plain,
% 9.04/6.65 ((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23603, 23518])).
% 9.04/6.65 tff(23605,plain,
% 9.04/6.65 ((~(v123(constB169) <=> (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0))))) | (~v123(constB169)) | (~((~v90(constB169, bitIndex2)) | v90(constB169, bitIndex1) | v90(constB169, bitIndex0)))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23606,plain,
% 9.04/6.65 (~v123(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23605, 23604, 23602])).
% 9.04/6.65 tff(23607,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23608,plain,
% 9.04/6.65 ((v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1))))) <=> (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23609,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.65 inference(monotonicity,[status(thm)],[23608])).
% 9.04/6.65 tff(23610,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.65 inference(transitivity,[status(thm)],[23609, 23607])).
% 9.04/6.65 tff(23611,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)))))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23612,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23611, 23610])).
% 9.04/6.65 tff(23613,plain,
% 9.04/6.65 (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23612, 1025])).
% 9.04/6.65 tff(23614,plain,
% 9.04/6.65 ((v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex2))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23615,plain,
% 9.04/6.65 (v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23614, 23456])).
% 9.04/6.65 tff(23616,plain,
% 9.04/6.65 ((~(v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))) | (~v122(constB169)) | (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23617,plain,
% 9.04/6.65 (~v122(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23616, 23615, 23613])).
% 9.04/6.65 tff(23618,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23619,plain,
% 9.04/6.65 ((v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1))))) <=> (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23620,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(monotonicity,[status(thm)],[23619])).
% 9.04/6.65 tff(23621,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(transitivity,[status(thm)],[23620, 23618])).
% 9.04/6.65 tff(23622,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))),
% 9.04/6.65 inference(quant_inst,[status(thm)],[])).
% 9.04/6.65 tff(23623,plain,
% 9.04/6.65 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))),
% 9.04/6.65 inference(modus_ponens,[status(thm)],[23622, 23621])).
% 9.04/6.65 tff(23624,plain,
% 9.04/6.65 (v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23623, 1133])).
% 9.04/6.65 tff(23625,plain,
% 9.04/6.65 ((v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23626,plain,
% 9.04/6.65 (v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23625, 23456])).
% 9.04/6.65 tff(23627,plain,
% 9.04/6.65 ((~(v121(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0))))) | (~v121(constB169)) | (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex0)))),
% 9.04/6.65 inference(tautology,[status(thm)],[])).
% 9.04/6.65 tff(23628,plain,
% 9.04/6.65 (~v121(constB169)),
% 9.04/6.65 inference(unit_resolution,[status(thm)],[23627, 23626, 23624])).
% 9.04/6.65 tff(23629,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23630,plain,
% 9.04/6.65 ((v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0))))) <=> (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))),
% 9.04/6.65 inference(rewrite,[status(thm)],[])).
% 9.04/6.65 tff(23631,plain,
% 9.04/6.65 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.66 inference(monotonicity,[status(thm)],[23630])).
% 9.04/6.66 tff(23632,plain,
% 9.04/6.66 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))))),
% 9.04/6.66 inference(transitivity,[status(thm)],[23631, 23629])).
% 9.04/6.66 tff(23633,plain,
% 9.04/6.66 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)))))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23634,plain,
% 9.04/6.66 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23633, 23632])).
% 9.04/6.66 tff(23635,plain,
% 9.04/6.66 (v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23634, 610])).
% 9.04/6.66 tff(23636,plain,
% 9.04/6.66 ((v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex2))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23637,plain,
% 9.04/6.66 (v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23636, 23456])).
% 9.04/6.66 tff(23638,plain,
% 9.04/6.66 ((~(v120(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)))))) | (~v120(constB169)) | (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0))))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23639,plain,
% 9.04/6.66 (~v120(constB169)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23638, 23637, 23635])).
% 9.04/6.66 tff(23640,plain,
% 9.04/6.66 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B))))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23641,plain,
% 9.04/6.66 ((v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) <=> (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B))))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23642,plain,
% 9.04/6.66 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))))),
% 9.04/6.66 inference(monotonicity,[status(thm)],[23641])).
% 9.04/6.66 tff(23643,plain,
% 9.04/6.66 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B))))),
% 9.04/6.66 inference(transitivity,[status(thm)],[23642, 23640])).
% 9.04/6.66 tff(23644,plain,
% 9.04/6.66 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B))))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23645,plain,
% 9.04/6.66 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23644, 23643])).
% 9.04/6.66 tff(23646,plain,
% 9.04/6.66 (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | ![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23645, 10951])).
% 9.04/6.66 tff(23647,plain,
% 9.04/6.66 (![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23646, 23639, 23628, 23617, 23606, 23595, 23584])).
% 9.04/6.66 tff(23648,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b001(bitIndex2)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23649,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b001(bitIndex2)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23650,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB169, bitIndex2) <=> b001(bitIndex2))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23649, 23648])).
% 9.04/6.66 tff(23651,plain,
% 9.04/6.66 (v130(constB169, bitIndex2) <=> b001(bitIndex2)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23650, 648, 23647])).
% 9.04/6.66 tff(23652,plain,
% 9.04/6.66 ((~(v130(constB169, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB169, bitIndex2)) | b001(bitIndex2)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23653,plain,
% 9.04/6.66 ((~(v130(constB169, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB169, bitIndex2))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23652, 9855])).
% 9.04/6.66 tff(23654,plain,
% 9.04/6.66 (~v130(constB169, bitIndex2)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23653, 23651])).
% 9.04/6.66 tff(23655,plain,
% 9.04/6.66 ((~(v127(constB169, bitIndex2) <=> v130(constB169, bitIndex2))) | (~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23656,plain,
% 9.04/6.66 (~v127(constB169, bitIndex2)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23655, 23654, 23578])).
% 9.04/6.66 tff(23657,plain,
% 9.04/6.66 ((~(v129(constB170, bitIndex2) <=> v127(constB169, bitIndex2))) | (~v129(constB170, bitIndex2)) | v127(constB169, bitIndex2)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23658,plain,
% 9.04/6.66 (~v129(constB170, bitIndex2)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23657, 23656, 23570])).
% 9.04/6.66 tff(23659,plain,
% 9.04/6.66 ((~(v90(constB170, bitIndex2) <=> v129(constB170, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23660,plain,
% 9.04/6.66 (~v90(constB170, bitIndex2)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23659, 23658, 23562])).
% 9.04/6.66 tff(23661,plain,
% 9.04/6.66 ((~(v90(constB171, bitIndex2) <=> v90(constB170, bitIndex2))) | (~v90(constB171, bitIndex2)) | v90(constB170, bitIndex2)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23662,plain,
% 9.04/6.66 (~v90(constB171, bitIndex2)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23661, 23660, 1821])).
% 9.04/6.66 tff(23663,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23664,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23665,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23664, 23663])).
% 9.04/6.66 tff(23666,plain,
% 9.04/6.66 (v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23665, 9653, 1817])).
% 9.04/6.66 tff(23667,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23668,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23669,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex0)) | (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23668, 23667])).
% 9.04/6.66 tff(23670,plain,
% 9.04/6.66 (v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23669, 9653, 23558])).
% 9.04/6.66 tff(23671,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23672,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23673,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex0)) | (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23672, 23671])).
% 9.04/6.66 tff(23674,plain,
% 9.04/6.66 (v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23673, 9653, 23566])).
% 9.04/6.66 tff(23675,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23676,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23677,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex0)) | (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23676, 23675])).
% 9.04/6.66 tff(23678,plain,
% 9.04/6.66 (v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23677, 9653, 23574])).
% 9.04/6.66 tff(23679,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b001(bitIndex0)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23680,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b001(bitIndex0)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23681,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB169, bitIndex0) <=> b001(bitIndex0))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 9.04/6.66 tff(23682,plain,
% 9.04/6.66 (v130(constB169, bitIndex0) <=> b001(bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23681, 9653, 23647])).
% 9.04/6.66 tff(23683,plain,
% 9.04/6.66 ((~(v130(constB169, bitIndex0) <=> b001(bitIndex0))) | v130(constB169, bitIndex0) | (~b001(bitIndex0))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23684,plain,
% 9.04/6.66 ((~(v130(constB169, bitIndex0) <=> b001(bitIndex0))) | v130(constB169, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23683, 9889])).
% 9.04/6.66 tff(23685,plain,
% 9.04/6.66 (v130(constB169, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23684, 23682])).
% 9.04/6.66 tff(23686,plain,
% 9.04/6.66 ((~(v127(constB169, bitIndex0) <=> v130(constB169, bitIndex0))) | v127(constB169, bitIndex0) | (~v130(constB169, bitIndex0))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23687,plain,
% 9.04/6.66 (v127(constB169, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23686, 23685, 23678])).
% 9.04/6.66 tff(23688,plain,
% 9.04/6.66 ((~(v129(constB170, bitIndex0) <=> v127(constB169, bitIndex0))) | v129(constB170, bitIndex0) | (~v127(constB169, bitIndex0))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23689,plain,
% 9.04/6.66 (v129(constB170, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23688, 23687, 23674])).
% 9.04/6.66 tff(23690,plain,
% 9.04/6.66 ((~(v90(constB170, bitIndex0) <=> v129(constB170, bitIndex0))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23691,plain,
% 9.04/6.66 (v90(constB170, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23690, 23689, 23670])).
% 9.04/6.66 tff(23692,plain,
% 9.04/6.66 ((~(v90(constB171, bitIndex0) <=> v90(constB170, bitIndex0))) | v90(constB171, bitIndex0) | (~v90(constB170, bitIndex0))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23693,plain,
% 9.04/6.66 (v90(constB171, bitIndex0)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23692, 23691, 23666])).
% 9.04/6.66 tff(23694,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23695,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23696,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB171, B) <=> v90(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23695, 23694])).
% 9.04/6.66 tff(23697,plain,
% 9.04/6.66 (v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23696, 375, 1817])).
% 9.04/6.66 tff(23698,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23699,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | ((~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23700,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB170, B) <=> v129(constB170, B)))) | (~less_3(bitIndex1)) | (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23699, 23698])).
% 9.04/6.66 tff(23701,plain,
% 9.04/6.66 (v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23700, 375, 23558])).
% 9.04/6.66 tff(23702,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23703,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | ((~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23704,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v129(constB170, B) <=> v127(constB169, B)))) | (~less_3(bitIndex1)) | (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23703, 23702])).
% 9.04/6.66 tff(23705,plain,
% 9.04/6.66 (v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23704, 375, 23566])).
% 9.04/6.66 tff(23706,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23707,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | ((~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23708,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v127(constB169, B) <=> v130(constB169, B)))) | (~less_3(bitIndex1)) | (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23707, 23706])).
% 9.04/6.66 tff(23709,plain,
% 9.04/6.66 (v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23708, 375, 23574])).
% 9.04/6.66 tff(23710,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b001(bitIndex1)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23711,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b001(bitIndex1)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23712,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v130(constB169, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB169, bitIndex1) <=> b001(bitIndex1))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23711, 23710])).
% 9.04/6.66 tff(23713,plain,
% 9.04/6.66 (v130(constB169, bitIndex1) <=> b001(bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23712, 375, 23647])).
% 9.04/6.66 tff(23714,plain,
% 9.04/6.66 ((~(v130(constB169, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB169, bitIndex1)) | b001(bitIndex1)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23715,plain,
% 9.04/6.66 ((~(v130(constB169, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB169, bitIndex1))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23714, 9923])).
% 9.04/6.66 tff(23716,plain,
% 9.04/6.66 (~v130(constB169, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23715, 23713])).
% 9.04/6.66 tff(23717,plain,
% 9.04/6.66 ((~(v127(constB169, bitIndex1) <=> v130(constB169, bitIndex1))) | (~v127(constB169, bitIndex1)) | v130(constB169, bitIndex1)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23718,plain,
% 9.04/6.66 (~v127(constB169, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23717, 23716, 23709])).
% 9.04/6.66 tff(23719,plain,
% 9.04/6.66 ((~(v129(constB170, bitIndex1) <=> v127(constB169, bitIndex1))) | (~v129(constB170, bitIndex1)) | v127(constB169, bitIndex1)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23720,plain,
% 9.04/6.66 (~v129(constB170, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23719, 23718, 23705])).
% 9.04/6.66 tff(23721,plain,
% 9.04/6.66 ((~(v90(constB170, bitIndex1) <=> v129(constB170, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23722,plain,
% 9.04/6.66 (~v90(constB170, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23721, 23720, 23701])).
% 9.04/6.66 tff(23723,plain,
% 9.04/6.66 ((~(v90(constB171, bitIndex1) <=> v90(constB170, bitIndex1))) | (~v90(constB171, bitIndex1)) | v90(constB170, bitIndex1)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23724,plain,
% 9.04/6.66 (~v90(constB171, bitIndex1)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23723, 23722, 23697])).
% 9.04/6.66 tff(23725,plain,
% 9.04/6.66 ((~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))) | v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23726,plain,
% 9.04/6.66 (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23725, 23724, 23693, 23662])).
% 9.04/6.66 tff(23727,plain,
% 9.04/6.66 ((~(v120(constB171) <=> (~(v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))))) | v120(constB171) | (v90(constB171, bitIndex2) | v90(constB171, bitIndex1) | (~v90(constB171, bitIndex0)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23728,plain,
% 9.04/6.66 (v120(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23727, 23726, 1789])).
% 9.04/6.66 tff(23729,plain,
% 9.04/6.66 ((v119(constB171) | v120(constB171)) | (~v120(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23730,plain,
% 9.04/6.66 (v119(constB171) | v120(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23729, 23728])).
% 9.04/6.66 tff(23731,plain,
% 9.04/6.66 ((~(v118(constB171) <=> (v119(constB171) | v120(constB171)))) | v118(constB171) | (~(v119(constB171) | v120(constB171)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23732,plain,
% 9.04/6.66 (v118(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23731, 23730, 1782])).
% 9.04/6.66 tff(23733,plain,
% 9.04/6.66 ((v118(constB171) | v121(constB171)) | (~v118(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23734,plain,
% 9.04/6.66 (v118(constB171) | v121(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23733, 23732])).
% 9.04/6.66 tff(23735,plain,
% 9.04/6.66 ((~(v117(constB171) <=> (v118(constB171) | v121(constB171)))) | v117(constB171) | (~(v118(constB171) | v121(constB171)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23736,plain,
% 9.04/6.66 (v117(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23735, 23734, 1780])).
% 9.04/6.66 tff(23737,plain,
% 9.04/6.66 ((v117(constB171) | v122(constB171)) | (~v117(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23738,plain,
% 9.04/6.66 (v117(constB171) | v122(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23737, 23736])).
% 9.04/6.66 tff(23739,plain,
% 9.04/6.66 ((~(v116(constB171) <=> (v117(constB171) | v122(constB171)))) | v116(constB171) | (~(v117(constB171) | v122(constB171)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23740,plain,
% 9.04/6.66 (v116(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23739, 23738, 1778])).
% 9.04/6.66 tff(23741,plain,
% 9.04/6.66 ((v116(constB171) | v123(constB171)) | (~v116(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23742,plain,
% 9.04/6.66 (v116(constB171) | v123(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23741, 23740])).
% 9.04/6.66 tff(23743,plain,
% 9.04/6.66 ((~(v115(constB171) <=> (v116(constB171) | v123(constB171)))) | v115(constB171) | (~(v116(constB171) | v123(constB171)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23744,plain,
% 9.04/6.66 (v115(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23743, 23742, 1776])).
% 9.04/6.66 tff(23745,plain,
% 9.04/6.66 ((v115(constB171) | v124(constB171)) | (~v115(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23746,plain,
% 9.04/6.66 (v115(constB171) | v124(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23745, 23744])).
% 9.04/6.66 tff(23747,plain,
% 9.04/6.66 ((~(v114(constB171) <=> (v115(constB171) | v124(constB171)))) | v114(constB171) | (~(v115(constB171) | v124(constB171)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23748,plain,
% 9.04/6.66 (v114(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23747, 23746, 1774])).
% 9.04/6.66 tff(23749,plain,
% 9.04/6.66 ((v114(constB171) | v125(constB171)) | (~v114(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23750,plain,
% 9.04/6.66 (v114(constB171) | v125(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23749, 23748])).
% 9.04/6.66 tff(23751,plain,
% 9.04/6.66 ((~(v113(constB171) <=> (v114(constB171) | v125(constB171)))) | v113(constB171) | (~(v114(constB171) | v125(constB171)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23752,plain,
% 9.04/6.66 (v113(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23751, 23750, 1772])).
% 9.04/6.66 tff(23753,plain,
% 9.04/6.66 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB171)) <=> v111(constB171))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23754,plain,
% 9.04/6.66 ((~v126(constB171)) <=> v111(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23753, 9720])).
% 9.04/6.66 tff(23755,plain,
% 9.04/6.66 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB171) <=> v26(constB171))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23756,plain,
% 9.04/6.66 (v111(constB171) <=> v26(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23755, 9732])).
% 9.04/6.66 tff(23757,plain,
% 9.04/6.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23758,plain,
% 9.04/6.66 (~v26(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23757, 9744])).
% 9.04/6.66 tff(23759,plain,
% 9.04/6.66 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171)) | v26(constB171)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23760,plain,
% 9.04/6.66 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23759, 23758])).
% 9.04/6.66 tff(23761,plain,
% 9.04/6.66 (~v111(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23760, 23756])).
% 9.04/6.66 tff(23762,plain,
% 9.04/6.66 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171) | v111(constB171)),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23763,plain,
% 9.04/6.66 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23762, 23761])).
% 9.04/6.66 tff(23764,plain,
% 9.04/6.66 (v126(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23763, 23754])).
% 9.04/6.66 tff(23765,plain,
% 9.04/6.66 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171)) | (~v126(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23766,plain,
% 9.04/6.66 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23765, 23764])).
% 9.04/6.66 tff(23767,plain,
% 9.04/6.66 (~((~v113(constB171)) | (~v126(constB171)))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23766, 23752])).
% 9.04/6.66 tff(23768,plain,
% 9.04/6.66 ((~(v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))) | v112(constB171) | ((~v113(constB171)) | (~v126(constB171)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23769,plain,
% 9.04/6.66 (v112(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23768, 23767, 1770])).
% 9.04/6.66 tff(23770,plain,
% 9.04/6.66 ((v111(constB171) | v112(constB171)) | (~v112(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23771,plain,
% 9.04/6.66 (v111(constB171) | v112(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23770, 23769])).
% 9.04/6.66 tff(23772,plain,
% 9.04/6.66 ((~(v108(constB171) <=> (v111(constB171) | v112(constB171)))) | v108(constB171) | (~(v111(constB171) | v112(constB171)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23773,plain,
% 9.04/6.66 (v108(constB171)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23772, 23771, 1768])).
% 9.04/6.66 tff(23774,plain,
% 9.04/6.66 ((~(v110(constB172) <=> v108(constB171))) | v110(constB172) | (~v108(constB171))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23775,plain,
% 9.04/6.66 (v110(constB172)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23774, 23773, 1766])).
% 9.04/6.66 tff(23776,plain,
% 9.04/6.66 ((~((~v101(constB172)) | (~v110(constB172)))) | (~v101(constB172)) | (~v110(constB172))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23777,plain,
% 9.04/6.66 (~((~v101(constB172)) | (~v110(constB172)))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23776, 23775, 1762])).
% 9.04/6.66 tff(23778,plain,
% 9.04/6.66 ((~(v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))) | v100(constB172) | ((~v101(constB172)) | (~v110(constB172)))),
% 9.04/6.66 inference(tautology,[status(thm)],[])).
% 9.04/6.66 tff(23779,plain,
% 9.04/6.66 (v100(constB172)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23778, 23777, 1731])).
% 9.04/6.66 tff(23780,plain,
% 9.04/6.66 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B))))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23781,plain,
% 9.04/6.66 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B))))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23782,plain,
% 9.04/6.66 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23781, 23780])).
% 9.04/6.66 tff(23783,plain,
% 9.04/6.66 ((~v100(constB172)) | ![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23782, 9780])).
% 9.04/6.66 tff(23784,plain,
% 9.04/6.66 (![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23783, 23779])).
% 9.04/6.66 tff(23785,plain,
% 9.04/6.66 (((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)))),
% 9.04/6.66 inference(rewrite,[status(thm)],[])).
% 9.04/6.66 tff(23786,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)))),
% 9.04/6.66 inference(quant_inst,[status(thm)],[])).
% 9.04/6.66 tff(23787,plain,
% 9.04/6.66 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex2)) | (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2))),
% 9.04/6.66 inference(modus_ponens,[status(thm)],[23786, 23785])).
% 9.04/6.66 tff(23788,plain,
% 9.04/6.66 (v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2)),
% 9.04/6.66 inference(unit_resolution,[status(thm)],[23787, 648, 23784])).
% 9.04/6.66 tff(23789,plain,
% 9.04/6.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B))))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23790,plain,
% 9.04/6.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B))))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23791,plain,
% 9.04/6.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23790, 23789])).
% 9.04/6.67 tff(23792,plain,
% 9.04/6.67 (![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23791, 1727, 9802])).
% 9.04/6.67 tff(23793,plain,
% 9.04/6.67 (((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23794,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23795,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex2)) | (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23794, 23793])).
% 9.04/6.67 tff(23796,plain,
% 9.04/6.67 (v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23795, 648, 23792])).
% 9.04/6.67 tff(23797,plain,
% 9.04/6.67 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB171) | ![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB171) | ![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B))))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23798,plain,
% 9.04/6.67 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB171) | ![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B))))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23799,plain,
% 9.04/6.67 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB171) | ![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23798, 23797])).
% 9.04/6.67 tff(23800,plain,
% 9.04/6.67 (![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23799, 9823, 23761])).
% 9.04/6.67 tff(23801,plain,
% 9.04/6.67 (((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23802,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23803,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex2)) | (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 9.04/6.67 tff(23804,plain,
% 9.04/6.67 (v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23803, 648, 23800])).
% 9.04/6.67 tff(23805,plain,
% 9.04/6.67 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B))))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23806,plain,
% 9.04/6.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B))))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23807,plain,
% 9.04/6.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23806, 23805])).
% 9.04/6.67 tff(23808,plain,
% 9.04/6.67 ((~v120(constB171)) | ![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23807, 10027])).
% 9.04/6.67 tff(23809,plain,
% 9.04/6.67 (![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23808, 23728])).
% 9.04/6.67 tff(23810,plain,
% 9.04/6.67 (((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b010(bitIndex2)))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23811,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b010(bitIndex2)))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23812,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB171, bitIndex2) <=> b010(bitIndex2))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23811, 23810])).
% 9.04/6.67 tff(23813,plain,
% 9.04/6.67 (v130(constB171, bitIndex2) <=> b010(bitIndex2)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23812, 648, 23809])).
% 9.04/6.67 tff(23814,plain,
% 9.04/6.67 ((~(v130(constB171, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB171, bitIndex2)) | b010(bitIndex2)),
% 9.04/6.67 inference(tautology,[status(thm)],[])).
% 9.04/6.67 tff(23815,plain,
% 9.04/6.67 ((~(v130(constB171, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB171, bitIndex2))),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23814, 10039])).
% 9.04/6.67 tff(23816,plain,
% 9.04/6.67 (~v130(constB171, bitIndex2)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23815, 23813])).
% 9.04/6.67 tff(23817,plain,
% 9.04/6.67 ((~(v127(constB171, bitIndex2) <=> v130(constB171, bitIndex2))) | (~v127(constB171, bitIndex2)) | v130(constB171, bitIndex2)),
% 9.04/6.67 inference(tautology,[status(thm)],[])).
% 9.04/6.67 tff(23818,plain,
% 9.04/6.67 (~v127(constB171, bitIndex2)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23817, 23816, 23804])).
% 9.04/6.67 tff(23819,plain,
% 9.04/6.67 ((~(v129(constB172, bitIndex2) <=> v127(constB171, bitIndex2))) | (~v129(constB172, bitIndex2)) | v127(constB171, bitIndex2)),
% 9.04/6.67 inference(tautology,[status(thm)],[])).
% 9.04/6.67 tff(23820,plain,
% 9.04/6.67 (~v129(constB172, bitIndex2)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23819, 23818, 23796])).
% 9.04/6.67 tff(23821,plain,
% 9.04/6.67 ((~(v90(constB172, bitIndex2) <=> v129(constB172, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2)),
% 9.04/6.67 inference(tautology,[status(thm)],[])).
% 9.04/6.67 tff(23822,plain,
% 9.04/6.67 (~v90(constB172, bitIndex2)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23821, 23820, 23788])).
% 9.04/6.67 tff(23823,plain,
% 9.04/6.67 ((~(v90(constB173, bitIndex2) <=> v90(constB172, bitIndex2))) | (~v90(constB173, bitIndex2)) | v90(constB172, bitIndex2)),
% 9.04/6.67 inference(tautology,[status(thm)],[])).
% 9.04/6.67 tff(23824,plain,
% 9.04/6.67 (~v90(constB173, bitIndex2)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23823, 23822, 1724])).
% 9.04/6.67 tff(23825,plain,
% 9.04/6.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23826,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23827,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23826, 23825])).
% 9.04/6.67 tff(23828,plain,
% 9.04/6.67 (v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23827, 9653, 1720])).
% 9.04/6.67 tff(23829,plain,
% 9.04/6.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23830,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23831,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex0)) | (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23830, 23829])).
% 9.04/6.67 tff(23832,plain,
% 9.04/6.67 (v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23831, 9653, 23784])).
% 9.04/6.67 tff(23833,plain,
% 9.04/6.67 (((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23834,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23835,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex0)) | (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23834, 23833])).
% 9.04/6.67 tff(23836,plain,
% 9.04/6.67 (v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23835, 9653, 23792])).
% 9.04/6.67 tff(23837,plain,
% 9.04/6.67 (((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)))),
% 9.04/6.67 inference(rewrite,[status(thm)],[])).
% 9.04/6.67 tff(23838,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)))),
% 9.04/6.67 inference(quant_inst,[status(thm)],[])).
% 9.04/6.67 tff(23839,plain,
% 9.04/6.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex0)) | (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0))),
% 9.04/6.67 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 9.04/6.67 tff(23840,plain,
% 9.04/6.67 (v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0)),
% 9.04/6.67 inference(unit_resolution,[status(thm)],[23839, 9653, 23800])).
% 9.10/6.67 tff(23841,plain,
% 9.10/6.67 (((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b010(bitIndex0)))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23842,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b010(bitIndex0)))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23843,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB171, bitIndex0) <=> b010(bitIndex0))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 9.10/6.67 tff(23844,plain,
% 9.10/6.67 (v130(constB171, bitIndex0) <=> b010(bitIndex0)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23843, 9653, 23809])).
% 9.10/6.67 tff(23845,plain,
% 9.10/6.67 ((~(v130(constB171, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB171, bitIndex0)) | b010(bitIndex0)),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23846,plain,
% 9.10/6.67 ((~(v130(constB171, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB171, bitIndex0))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23845, 10073])).
% 9.10/6.67 tff(23847,plain,
% 9.10/6.67 (~v130(constB171, bitIndex0)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23846, 23844])).
% 9.10/6.67 tff(23848,plain,
% 9.10/6.67 ((~(v127(constB171, bitIndex0) <=> v130(constB171, bitIndex0))) | (~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23849,plain,
% 9.10/6.67 (~v127(constB171, bitIndex0)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23848, 23847, 23840])).
% 9.10/6.67 tff(23850,plain,
% 9.10/6.67 ((~(v129(constB172, bitIndex0) <=> v127(constB171, bitIndex0))) | (~v129(constB172, bitIndex0)) | v127(constB171, bitIndex0)),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23851,plain,
% 9.10/6.67 (~v129(constB172, bitIndex0)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23850, 23849, 23836])).
% 9.10/6.67 tff(23852,plain,
% 9.10/6.67 ((~(v90(constB172, bitIndex0) <=> v129(constB172, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0)),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23853,plain,
% 9.10/6.67 (~v90(constB172, bitIndex0)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23852, 23851, 23832])).
% 9.10/6.67 tff(23854,plain,
% 9.10/6.67 ((~(v90(constB173, bitIndex0) <=> v90(constB172, bitIndex0))) | (~v90(constB173, bitIndex0)) | v90(constB172, bitIndex0)),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23855,plain,
% 9.10/6.67 (~v90(constB173, bitIndex0)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23854, 23853, 23828])).
% 9.10/6.67 tff(23856,plain,
% 9.10/6.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23857,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23858,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB173, B) <=> v90(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23857, 23856])).
% 9.10/6.67 tff(23859,plain,
% 9.10/6.67 (v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23858, 375, 1720])).
% 9.10/6.67 tff(23860,plain,
% 9.10/6.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23861,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | ((~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23862,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB172, B) <=> v129(constB172, B)))) | (~less_3(bitIndex1)) | (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23861, 23860])).
% 9.10/6.67 tff(23863,plain,
% 9.10/6.67 (v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23862, 375, 23784])).
% 9.10/6.67 tff(23864,plain,
% 9.10/6.67 (((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23865,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | ((~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23866,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB172, B) <=> v127(constB171, B)))) | (~less_3(bitIndex1)) | (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23865, 23864])).
% 9.10/6.67 tff(23867,plain,
% 9.10/6.67 (v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23866, 375, 23792])).
% 9.10/6.67 tff(23868,plain,
% 9.10/6.67 (((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23869,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | ((~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23870,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v127(constB171, B) <=> v130(constB171, B)))) | (~less_3(bitIndex1)) | (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23869, 23868])).
% 9.10/6.67 tff(23871,plain,
% 9.10/6.67 (v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23870, 375, 23800])).
% 9.10/6.67 tff(23872,plain,
% 9.10/6.67 (((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b010(bitIndex1)))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23873,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b010(bitIndex1)))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23874,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v130(constB171, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB171, bitIndex1) <=> b010(bitIndex1))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23873, 23872])).
% 9.10/6.67 tff(23875,plain,
% 9.10/6.67 (v130(constB171, bitIndex1) <=> b010(bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23874, 375, 23809])).
% 9.10/6.67 tff(23876,plain,
% 9.10/6.67 ((~(v130(constB171, bitIndex1) <=> b010(bitIndex1))) | v130(constB171, bitIndex1) | (~b010(bitIndex1))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23877,plain,
% 9.10/6.67 ((~(v130(constB171, bitIndex1) <=> b010(bitIndex1))) | v130(constB171, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23876, 10107])).
% 9.10/6.67 tff(23878,plain,
% 9.10/6.67 (v130(constB171, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23877, 23875])).
% 9.10/6.67 tff(23879,plain,
% 9.10/6.67 ((~(v127(constB171, bitIndex1) <=> v130(constB171, bitIndex1))) | v127(constB171, bitIndex1) | (~v130(constB171, bitIndex1))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23880,plain,
% 9.10/6.67 (v127(constB171, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23879, 23878, 23871])).
% 9.10/6.67 tff(23881,plain,
% 9.10/6.67 ((~(v129(constB172, bitIndex1) <=> v127(constB171, bitIndex1))) | v129(constB172, bitIndex1) | (~v127(constB171, bitIndex1))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23882,plain,
% 9.10/6.67 (v129(constB172, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23881, 23880, 23867])).
% 9.10/6.67 tff(23883,plain,
% 9.10/6.67 ((~(v90(constB172, bitIndex1) <=> v129(constB172, bitIndex1))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23884,plain,
% 9.10/6.67 (v90(constB172, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23883, 23882, 23863])).
% 9.10/6.67 tff(23885,plain,
% 9.10/6.67 ((~(v90(constB173, bitIndex1) <=> v90(constB172, bitIndex1))) | v90(constB173, bitIndex1) | (~v90(constB172, bitIndex1))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23886,plain,
% 9.10/6.67 (v90(constB173, bitIndex1)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23885, 23884, 23859])).
% 9.10/6.67 tff(23887,plain,
% 9.10/6.67 ((~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0)),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23888,plain,
% 9.10/6.67 (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23887, 23886, 23855, 23824])).
% 9.10/6.67 tff(23889,plain,
% 9.10/6.67 ((~(v121(constB173) <=> (~(v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))))) | v121(constB173) | (v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex0))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23890,plain,
% 9.10/6.67 (v121(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23889, 23888, 1692])).
% 9.10/6.67 tff(23891,plain,
% 9.10/6.67 ((v118(constB173) | v121(constB173)) | (~v121(constB173))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23892,plain,
% 9.10/6.67 (v118(constB173) | v121(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23891, 23890])).
% 9.10/6.67 tff(23893,plain,
% 9.10/6.67 ((~(v117(constB173) <=> (v118(constB173) | v121(constB173)))) | v117(constB173) | (~(v118(constB173) | v121(constB173)))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23894,plain,
% 9.10/6.67 (v117(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23893, 23892, 1685])).
% 9.10/6.67 tff(23895,plain,
% 9.10/6.67 ((v117(constB173) | v122(constB173)) | (~v117(constB173))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23896,plain,
% 9.10/6.67 (v117(constB173) | v122(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23895, 23894])).
% 9.10/6.67 tff(23897,plain,
% 9.10/6.67 ((~(v116(constB173) <=> (v117(constB173) | v122(constB173)))) | v116(constB173) | (~(v117(constB173) | v122(constB173)))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23898,plain,
% 9.10/6.67 (v116(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23897, 23896, 1683])).
% 9.10/6.67 tff(23899,plain,
% 9.10/6.67 ((v116(constB173) | v123(constB173)) | (~v116(constB173))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23900,plain,
% 9.10/6.67 (v116(constB173) | v123(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23899, 23898])).
% 9.10/6.67 tff(23901,plain,
% 9.10/6.67 ((~(v115(constB173) <=> (v116(constB173) | v123(constB173)))) | v115(constB173) | (~(v116(constB173) | v123(constB173)))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23902,plain,
% 9.10/6.67 (v115(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23901, 23900, 1681])).
% 9.10/6.67 tff(23903,plain,
% 9.10/6.67 ((v115(constB173) | v124(constB173)) | (~v115(constB173))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23904,plain,
% 9.10/6.67 (v115(constB173) | v124(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23903, 23902])).
% 9.10/6.67 tff(23905,plain,
% 9.10/6.67 ((~(v114(constB173) <=> (v115(constB173) | v124(constB173)))) | v114(constB173) | (~(v115(constB173) | v124(constB173)))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23906,plain,
% 9.10/6.67 (v114(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23905, 23904, 1679])).
% 9.10/6.67 tff(23907,plain,
% 9.10/6.67 ((v114(constB173) | v125(constB173)) | (~v114(constB173))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23908,plain,
% 9.10/6.67 (v114(constB173) | v125(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23907, 23906])).
% 9.10/6.67 tff(23909,plain,
% 9.10/6.67 ((~(v113(constB173) <=> (v114(constB173) | v125(constB173)))) | v113(constB173) | (~(v114(constB173) | v125(constB173)))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23910,plain,
% 9.10/6.67 (v113(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23909, 23908, 1677])).
% 9.10/6.67 tff(23911,plain,
% 9.10/6.67 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB173)) <=> v111(constB173))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23912,plain,
% 9.10/6.67 ((~v126(constB173)) <=> v111(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23911, 9720])).
% 9.10/6.67 tff(23913,plain,
% 9.10/6.67 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB173) <=> v26(constB173))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23914,plain,
% 9.10/6.67 (v111(constB173) <=> v26(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23913, 9732])).
% 9.10/6.67 tff(23915,plain,
% 9.10/6.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23916,plain,
% 9.10/6.67 (~v26(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23915, 9744])).
% 9.10/6.67 tff(23917,plain,
% 9.10/6.67 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173)) | v26(constB173)),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23918,plain,
% 9.10/6.67 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23917, 23916])).
% 9.10/6.67 tff(23919,plain,
% 9.10/6.67 (~v111(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23918, 23914])).
% 9.10/6.67 tff(23920,plain,
% 9.10/6.67 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173) | v111(constB173)),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23921,plain,
% 9.10/6.67 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23920, 23919])).
% 9.10/6.67 tff(23922,plain,
% 9.10/6.67 (v126(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23921, 23912])).
% 9.10/6.67 tff(23923,plain,
% 9.10/6.67 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173)) | (~v126(constB173))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23924,plain,
% 9.10/6.67 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23923, 23922])).
% 9.10/6.67 tff(23925,plain,
% 9.10/6.67 (~((~v113(constB173)) | (~v126(constB173)))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23924, 23910])).
% 9.10/6.67 tff(23926,plain,
% 9.10/6.67 ((~(v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))) | v112(constB173) | ((~v113(constB173)) | (~v126(constB173)))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23927,plain,
% 9.10/6.67 (v112(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23926, 23925, 1675])).
% 9.10/6.67 tff(23928,plain,
% 9.10/6.67 ((v111(constB173) | v112(constB173)) | (~v112(constB173))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23929,plain,
% 9.10/6.67 (v111(constB173) | v112(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23928, 23927])).
% 9.10/6.67 tff(23930,plain,
% 9.10/6.67 ((~(v108(constB173) <=> (v111(constB173) | v112(constB173)))) | v108(constB173) | (~(v111(constB173) | v112(constB173)))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23931,plain,
% 9.10/6.67 (v108(constB173)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23930, 23929, 1673])).
% 9.10/6.67 tff(23932,plain,
% 9.10/6.67 ((~(v110(constB174) <=> v108(constB173))) | v110(constB174) | (~v108(constB173))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23933,plain,
% 9.10/6.67 (v110(constB174)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23932, 23931, 1671])).
% 9.10/6.67 tff(23934,plain,
% 9.10/6.67 ((~((~v101(constB174)) | (~v110(constB174)))) | (~v101(constB174)) | (~v110(constB174))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23935,plain,
% 9.10/6.67 (~((~v101(constB174)) | (~v110(constB174)))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23934, 23933, 1667])).
% 9.10/6.67 tff(23936,plain,
% 9.10/6.67 ((~(v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))) | v100(constB174) | ((~v101(constB174)) | (~v110(constB174)))),
% 9.10/6.67 inference(tautology,[status(thm)],[])).
% 9.10/6.67 tff(23937,plain,
% 9.10/6.67 (v100(constB174)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23936, 23935, 1636])).
% 9.10/6.67 tff(23938,plain,
% 9.10/6.67 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B))))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23939,plain,
% 9.10/6.67 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B))))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23940,plain,
% 9.10/6.67 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23939, 23938])).
% 9.10/6.67 tff(23941,plain,
% 9.10/6.67 ((~v100(constB174)) | ![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23940, 9780])).
% 9.10/6.67 tff(23942,plain,
% 9.10/6.67 (![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23941, 23937])).
% 9.10/6.67 tff(23943,plain,
% 9.10/6.67 (((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23944,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23945,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex2)) | (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23944, 23943])).
% 9.10/6.67 tff(23946,plain,
% 9.10/6.67 (v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23945, 648, 23942])).
% 9.10/6.67 tff(23947,plain,
% 9.10/6.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B))))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23948,plain,
% 9.10/6.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B))))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23949,plain,
% 9.10/6.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 9.10/6.67 tff(23950,plain,
% 9.10/6.67 (![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23949, 1632, 9802])).
% 9.10/6.67 tff(23951,plain,
% 9.10/6.67 (((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23952,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23953,plain,
% 9.10/6.67 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex2)) | (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23952, 23951])).
% 9.10/6.67 tff(23954,plain,
% 9.10/6.67 (v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2)),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23953, 648, 23950])).
% 9.10/6.67 tff(23955,plain,
% 9.10/6.67 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB173) | ![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB173) | ![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B))))),
% 9.10/6.67 inference(rewrite,[status(thm)],[])).
% 9.10/6.67 tff(23956,plain,
% 9.10/6.67 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB173) | ![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B))))),
% 9.10/6.67 inference(quant_inst,[status(thm)],[])).
% 9.10/6.67 tff(23957,plain,
% 9.10/6.67 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB173) | ![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))),
% 9.10/6.67 inference(modus_ponens,[status(thm)],[23956, 23955])).
% 9.10/6.67 tff(23958,plain,
% 9.10/6.67 (![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))),
% 9.10/6.67 inference(unit_resolution,[status(thm)],[23957, 9823, 23919])).
% 9.10/6.68 tff(23959,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(23960,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(23961,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex2)) | (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[23960, 23959])).
% 9.10/6.68 tff(23962,plain,
% 9.10/6.68 (v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23961, 648, 23958])).
% 9.10/6.68 tff(23963,plain,
% 9.10/6.68 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B))))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(23964,plain,
% 9.10/6.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B))))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(23965,plain,
% 9.10/6.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[23964, 23963])).
% 9.10/6.68 tff(23966,plain,
% 9.10/6.68 ((~v121(constB173)) | ![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23965, 10207])).
% 9.10/6.68 tff(23967,plain,
% 9.10/6.68 (![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23966, 23890])).
% 9.10/6.68 tff(23968,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b011(bitIndex2)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(23969,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b011(bitIndex2)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(23970,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB173, bitIndex2) <=> b011(bitIndex2))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[23969, 23968])).
% 9.10/6.68 tff(23971,plain,
% 9.10/6.68 (v130(constB173, bitIndex2) <=> b011(bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23970, 648, 23967])).
% 9.10/6.68 tff(23972,plain,
% 9.10/6.68 ((~(v130(constB173, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB173, bitIndex2)) | b011(bitIndex2)),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(23973,plain,
% 9.10/6.68 ((~(v130(constB173, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB173, bitIndex2))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23972, 10219])).
% 9.10/6.68 tff(23974,plain,
% 9.10/6.68 (~v130(constB173, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23973, 23971])).
% 9.10/6.68 tff(23975,plain,
% 9.10/6.68 ((~(v127(constB173, bitIndex2) <=> v130(constB173, bitIndex2))) | (~v127(constB173, bitIndex2)) | v130(constB173, bitIndex2)),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(23976,plain,
% 9.10/6.68 (~v127(constB173, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23975, 23974, 23962])).
% 9.10/6.68 tff(23977,plain,
% 9.10/6.68 ((~(v129(constB174, bitIndex2) <=> v127(constB173, bitIndex2))) | (~v129(constB174, bitIndex2)) | v127(constB173, bitIndex2)),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(23978,plain,
% 9.10/6.68 (~v129(constB174, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23977, 23976, 23954])).
% 9.10/6.68 tff(23979,plain,
% 9.10/6.68 ((~(v90(constB174, bitIndex2) <=> v129(constB174, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2)),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(23980,plain,
% 9.10/6.68 (~v90(constB174, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23979, 23978, 23946])).
% 9.10/6.68 tff(23981,plain,
% 9.10/6.68 ((~(v90(constB175, bitIndex2) <=> v90(constB174, bitIndex2))) | (~v90(constB175, bitIndex2)) | v90(constB174, bitIndex2)),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(23982,plain,
% 9.10/6.68 (~v90(constB175, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23981, 23980, 1629])).
% 9.10/6.68 tff(23983,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(23984,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(23985,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[23984, 23983])).
% 9.10/6.68 tff(23986,plain,
% 9.10/6.68 (v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23985, 9653, 1625])).
% 9.10/6.68 tff(23987,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(23988,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(23989,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex0)) | (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[23988, 23987])).
% 9.10/6.68 tff(23990,plain,
% 9.10/6.68 (v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23989, 9653, 23942])).
% 9.10/6.68 tff(23991,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(23992,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(23993,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex0)) | (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[23992, 23991])).
% 9.10/6.68 tff(23994,plain,
% 9.10/6.68 (v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23993, 9653, 23950])).
% 9.10/6.68 tff(23995,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(23996,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(23997,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex0)) | (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[23996, 23995])).
% 9.10/6.68 tff(23998,plain,
% 9.10/6.68 (v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[23997, 9653, 23958])).
% 9.10/6.68 tff(23999,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b011(bitIndex0)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24000,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b011(bitIndex0)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24001,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB173, bitIndex0) <=> b011(bitIndex0))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 9.10/6.68 tff(24002,plain,
% 9.10/6.68 (v130(constB173, bitIndex0) <=> b011(bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24001, 9653, 23967])).
% 9.10/6.68 tff(24003,plain,
% 9.10/6.68 ((~(v130(constB173, bitIndex0) <=> b011(bitIndex0))) | v130(constB173, bitIndex0) | (~b011(bitIndex0))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24004,plain,
% 9.10/6.68 ((~(v130(constB173, bitIndex0) <=> b011(bitIndex0))) | v130(constB173, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24003, 10253])).
% 9.10/6.68 tff(24005,plain,
% 9.10/6.68 (v130(constB173, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24004, 24002])).
% 9.10/6.68 tff(24006,plain,
% 9.10/6.68 ((~(v127(constB173, bitIndex0) <=> v130(constB173, bitIndex0))) | v127(constB173, bitIndex0) | (~v130(constB173, bitIndex0))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24007,plain,
% 9.10/6.68 (v127(constB173, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24006, 24005, 23998])).
% 9.10/6.68 tff(24008,plain,
% 9.10/6.68 ((~(v129(constB174, bitIndex0) <=> v127(constB173, bitIndex0))) | v129(constB174, bitIndex0) | (~v127(constB173, bitIndex0))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24009,plain,
% 9.10/6.68 (v129(constB174, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24008, 24007, 23994])).
% 9.10/6.68 tff(24010,plain,
% 9.10/6.68 ((~(v90(constB174, bitIndex0) <=> v129(constB174, bitIndex0))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24011,plain,
% 9.10/6.68 (v90(constB174, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24010, 24009, 23990])).
% 9.10/6.68 tff(24012,plain,
% 9.10/6.68 ((~(v90(constB175, bitIndex0) <=> v90(constB174, bitIndex0))) | v90(constB175, bitIndex0) | (~v90(constB174, bitIndex0))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24013,plain,
% 9.10/6.68 (v90(constB175, bitIndex0)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24012, 24011, 23986])).
% 9.10/6.68 tff(24014,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24015,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24016,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB175, B) <=> v90(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24015, 24014])).
% 9.10/6.68 tff(24017,plain,
% 9.10/6.68 (v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24016, 375, 1625])).
% 9.10/6.68 tff(24018,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24019,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | ((~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24020,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB174, B) <=> v129(constB174, B)))) | (~less_3(bitIndex1)) | (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24019, 24018])).
% 9.10/6.68 tff(24021,plain,
% 9.10/6.68 (v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24020, 375, 23942])).
% 9.10/6.68 tff(24022,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24023,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | ((~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24024,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB174, B) <=> v127(constB173, B)))) | (~less_3(bitIndex1)) | (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24023, 24022])).
% 9.10/6.68 tff(24025,plain,
% 9.10/6.68 (v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24024, 375, 23950])).
% 9.10/6.68 tff(24026,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24027,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | ((~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24028,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB173, B) <=> v130(constB173, B)))) | (~less_3(bitIndex1)) | (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24027, 24026])).
% 9.10/6.68 tff(24029,plain,
% 9.10/6.68 (v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24028, 375, 23958])).
% 9.10/6.68 tff(24030,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b011(bitIndex1)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24031,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b011(bitIndex1)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24032,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB173, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB173, bitIndex1) <=> b011(bitIndex1))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24031, 24030])).
% 9.10/6.68 tff(24033,plain,
% 9.10/6.68 (v130(constB173, bitIndex1) <=> b011(bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24032, 375, 23967])).
% 9.10/6.68 tff(24034,plain,
% 9.10/6.68 ((~(v130(constB173, bitIndex1) <=> b011(bitIndex1))) | v130(constB173, bitIndex1) | (~b011(bitIndex1))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24035,plain,
% 9.10/6.68 ((~(v130(constB173, bitIndex1) <=> b011(bitIndex1))) | v130(constB173, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24034, 10287])).
% 9.10/6.68 tff(24036,plain,
% 9.10/6.68 (v130(constB173, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24035, 24033])).
% 9.10/6.68 tff(24037,plain,
% 9.10/6.68 ((~(v127(constB173, bitIndex1) <=> v130(constB173, bitIndex1))) | v127(constB173, bitIndex1) | (~v130(constB173, bitIndex1))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24038,plain,
% 9.10/6.68 (v127(constB173, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24037, 24036, 24029])).
% 9.10/6.68 tff(24039,plain,
% 9.10/6.68 ((~(v129(constB174, bitIndex1) <=> v127(constB173, bitIndex1))) | v129(constB174, bitIndex1) | (~v127(constB173, bitIndex1))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24040,plain,
% 9.10/6.68 (v129(constB174, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24039, 24038, 24025])).
% 9.10/6.68 tff(24041,plain,
% 9.10/6.68 ((~(v90(constB174, bitIndex1) <=> v129(constB174, bitIndex1))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24042,plain,
% 9.10/6.68 (v90(constB174, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24041, 24040, 24021])).
% 9.10/6.68 tff(24043,plain,
% 9.10/6.68 ((~(v90(constB175, bitIndex1) <=> v90(constB174, bitIndex1))) | v90(constB175, bitIndex1) | (~v90(constB174, bitIndex1))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24044,plain,
% 9.10/6.68 (v90(constB175, bitIndex1)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24043, 24042, 24017])).
% 9.10/6.68 tff(24045,plain,
% 9.10/6.68 ((~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24046,plain,
% 9.10/6.68 (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24045, 24044, 24013, 23982])).
% 9.10/6.68 tff(24047,plain,
% 9.10/6.68 ((~(v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))) | v122(constB175) | (v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24048,plain,
% 9.10/6.68 (v122(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24047, 24046, 1597])).
% 9.10/6.68 tff(24049,plain,
% 9.10/6.68 ((v117(constB175) | v122(constB175)) | (~v122(constB175))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24050,plain,
% 9.10/6.68 (v117(constB175) | v122(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24049, 24048])).
% 9.10/6.68 tff(24051,plain,
% 9.10/6.68 ((~(v116(constB175) <=> (v117(constB175) | v122(constB175)))) | v116(constB175) | (~(v117(constB175) | v122(constB175)))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24052,plain,
% 9.10/6.68 (v116(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24051, 24050, 1590])).
% 9.10/6.68 tff(24053,plain,
% 9.10/6.68 ((v116(constB175) | v123(constB175)) | (~v116(constB175))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24054,plain,
% 9.10/6.68 (v116(constB175) | v123(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24053, 24052])).
% 9.10/6.68 tff(24055,plain,
% 9.10/6.68 ((~(v115(constB175) <=> (v116(constB175) | v123(constB175)))) | v115(constB175) | (~(v116(constB175) | v123(constB175)))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24056,plain,
% 9.10/6.68 (v115(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24055, 24054, 1588])).
% 9.10/6.68 tff(24057,plain,
% 9.10/6.68 ((v115(constB175) | v124(constB175)) | (~v115(constB175))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24058,plain,
% 9.10/6.68 (v115(constB175) | v124(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24057, 24056])).
% 9.10/6.68 tff(24059,plain,
% 9.10/6.68 ((~(v114(constB175) <=> (v115(constB175) | v124(constB175)))) | v114(constB175) | (~(v115(constB175) | v124(constB175)))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24060,plain,
% 9.10/6.68 (v114(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24059, 24058, 1586])).
% 9.10/6.68 tff(24061,plain,
% 9.10/6.68 ((v114(constB175) | v125(constB175)) | (~v114(constB175))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24062,plain,
% 9.10/6.68 (v114(constB175) | v125(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24061, 24060])).
% 9.10/6.68 tff(24063,plain,
% 9.10/6.68 ((~(v113(constB175) <=> (v114(constB175) | v125(constB175)))) | v113(constB175) | (~(v114(constB175) | v125(constB175)))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24064,plain,
% 9.10/6.68 (v113(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24063, 24062, 1584])).
% 9.10/6.68 tff(24065,plain,
% 9.10/6.68 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB175)) <=> v111(constB175))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24066,plain,
% 9.10/6.68 ((~v126(constB175)) <=> v111(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24065, 9720])).
% 9.10/6.68 tff(24067,plain,
% 9.10/6.68 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB175) <=> v26(constB175))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24068,plain,
% 9.10/6.68 (v111(constB175) <=> v26(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24067, 9732])).
% 9.10/6.68 tff(24069,plain,
% 9.10/6.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24070,plain,
% 9.10/6.68 (~v26(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24069, 9744])).
% 9.10/6.68 tff(24071,plain,
% 9.10/6.68 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175)) | v26(constB175)),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24072,plain,
% 9.10/6.68 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24071, 24070])).
% 9.10/6.68 tff(24073,plain,
% 9.10/6.68 (~v111(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24072, 24068])).
% 9.10/6.68 tff(24074,plain,
% 9.10/6.68 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175) | v111(constB175)),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24075,plain,
% 9.10/6.68 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24074, 24073])).
% 9.10/6.68 tff(24076,plain,
% 9.10/6.68 (v126(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24075, 24066])).
% 9.10/6.68 tff(24077,plain,
% 9.10/6.68 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175)) | (~v126(constB175))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24078,plain,
% 9.10/6.68 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24077, 24076])).
% 9.10/6.68 tff(24079,plain,
% 9.10/6.68 (~((~v113(constB175)) | (~v126(constB175)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24078, 24064])).
% 9.10/6.68 tff(24080,plain,
% 9.10/6.68 ((~(v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))) | v112(constB175) | ((~v113(constB175)) | (~v126(constB175)))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24081,plain,
% 9.10/6.68 (v112(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24080, 24079, 1582])).
% 9.10/6.68 tff(24082,plain,
% 9.10/6.68 ((v111(constB175) | v112(constB175)) | (~v112(constB175))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24083,plain,
% 9.10/6.68 (v111(constB175) | v112(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24082, 24081])).
% 9.10/6.68 tff(24084,plain,
% 9.10/6.68 ((~(v108(constB175) <=> (v111(constB175) | v112(constB175)))) | v108(constB175) | (~(v111(constB175) | v112(constB175)))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24085,plain,
% 9.10/6.68 (v108(constB175)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24084, 24083, 1580])).
% 9.10/6.68 tff(24086,plain,
% 9.10/6.68 ((~(v110(constB176) <=> v108(constB175))) | v110(constB176) | (~v108(constB175))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24087,plain,
% 9.10/6.68 (v110(constB176)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24086, 24085, 1578])).
% 9.10/6.68 tff(24088,plain,
% 9.10/6.68 ((~((~v101(constB176)) | (~v110(constB176)))) | (~v101(constB176)) | (~v110(constB176))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24089,plain,
% 9.10/6.68 (~((~v101(constB176)) | (~v110(constB176)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24088, 24087, 1574])).
% 9.10/6.68 tff(24090,plain,
% 9.10/6.68 ((~(v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))) | v100(constB176) | ((~v101(constB176)) | (~v110(constB176)))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24091,plain,
% 9.10/6.68 (v100(constB176)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24090, 24089, 1543])).
% 9.10/6.68 tff(24092,plain,
% 9.10/6.68 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B))))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24093,plain,
% 9.10/6.68 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B))))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24094,plain,
% 9.10/6.68 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24093, 24092])).
% 9.10/6.68 tff(24095,plain,
% 9.10/6.68 ((~v100(constB176)) | ![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24094, 9780])).
% 9.10/6.68 tff(24096,plain,
% 9.10/6.68 (![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24095, 24091])).
% 9.10/6.68 tff(24097,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24098,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24099,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex2)) | (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24098, 24097])).
% 9.10/6.68 tff(24100,plain,
% 9.10/6.68 (v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24099, 648, 24096])).
% 9.10/6.68 tff(24101,plain,
% 9.10/6.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B))))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24102,plain,
% 9.10/6.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B))))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24103,plain,
% 9.10/6.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24102, 24101])).
% 9.10/6.68 tff(24104,plain,
% 9.10/6.68 (![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24103, 1539, 9802])).
% 9.10/6.68 tff(24105,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24106,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24107,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex2)) | (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24106, 24105])).
% 9.10/6.68 tff(24108,plain,
% 9.10/6.68 (v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24107, 648, 24104])).
% 9.10/6.68 tff(24109,plain,
% 9.10/6.68 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB175) | ![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB175) | ![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B))))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24110,plain,
% 9.10/6.68 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB175) | ![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B))))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24111,plain,
% 9.10/6.68 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB175) | ![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24110, 24109])).
% 9.10/6.68 tff(24112,plain,
% 9.10/6.68 (![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24111, 9823, 24073])).
% 9.10/6.68 tff(24113,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24114,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24115,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex2)) | (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24114, 24113])).
% 9.10/6.68 tff(24116,plain,
% 9.10/6.68 (v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24115, 648, 24112])).
% 9.10/6.68 tff(24117,plain,
% 9.10/6.68 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB175)) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB175)) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B))))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24118,plain,
% 9.10/6.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB175)) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B))))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24119,plain,
% 9.10/6.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB175)) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24118, 24117])).
% 9.10/6.68 tff(24120,plain,
% 9.10/6.68 ((~v122(constB175)) | ![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24119, 10383])).
% 9.10/6.68 tff(24121,plain,
% 9.10/6.68 (![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24120, 24048])).
% 9.10/6.68 tff(24122,plain,
% 9.10/6.68 (((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b100(bitIndex2)))),
% 9.10/6.68 inference(rewrite,[status(thm)],[])).
% 9.10/6.68 tff(24123,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b100(bitIndex2)))),
% 9.10/6.68 inference(quant_inst,[status(thm)],[])).
% 9.10/6.68 tff(24124,plain,
% 9.10/6.68 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB175, bitIndex2) <=> b100(bitIndex2))),
% 9.10/6.68 inference(modus_ponens,[status(thm)],[24123, 24122])).
% 9.10/6.68 tff(24125,plain,
% 9.10/6.68 (v130(constB175, bitIndex2) <=> b100(bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24124, 648, 24121])).
% 9.10/6.68 tff(24126,plain,
% 9.10/6.68 ((~(v130(constB175, bitIndex2) <=> b100(bitIndex2))) | v130(constB175, bitIndex2) | (~b100(bitIndex2))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.68 tff(24127,plain,
% 9.10/6.68 ((~(v130(constB175, bitIndex2) <=> b100(bitIndex2))) | v130(constB175, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24126, 10395])).
% 9.10/6.68 tff(24128,plain,
% 9.10/6.68 (v130(constB175, bitIndex2)),
% 9.10/6.68 inference(unit_resolution,[status(thm)],[24127, 24125])).
% 9.10/6.68 tff(24129,plain,
% 9.10/6.68 ((~(v127(constB175, bitIndex2) <=> v130(constB175, bitIndex2))) | v127(constB175, bitIndex2) | (~v130(constB175, bitIndex2))),
% 9.10/6.68 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24130,plain,
% 9.10/6.69 (v127(constB175, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24129, 24128, 24116])).
% 9.10/6.69 tff(24131,plain,
% 9.10/6.69 ((~(v129(constB176, bitIndex2) <=> v127(constB175, bitIndex2))) | v129(constB176, bitIndex2) | (~v127(constB175, bitIndex2))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24132,plain,
% 9.10/6.69 (v129(constB176, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24131, 24130, 24108])).
% 9.10/6.69 tff(24133,plain,
% 9.10/6.69 ((~(v90(constB176, bitIndex2) <=> v129(constB176, bitIndex2))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24134,plain,
% 9.10/6.69 (v90(constB176, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24133, 24132, 24100])).
% 9.10/6.69 tff(24135,plain,
% 9.10/6.69 ((~(v90(constB177, bitIndex2) <=> v90(constB176, bitIndex2))) | v90(constB177, bitIndex2) | (~v90(constB176, bitIndex2))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24136,plain,
% 9.10/6.69 (v90(constB177, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24135, 24134, 1536])).
% 9.10/6.69 tff(24137,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24138,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24139,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24138, 24137])).
% 9.10/6.69 tff(24140,plain,
% 9.10/6.69 (v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24139, 9653, 1532])).
% 9.10/6.69 tff(24141,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24142,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24143,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex0)) | (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24142, 24141])).
% 9.10/6.69 tff(24144,plain,
% 9.10/6.69 (v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24143, 9653, 24096])).
% 9.10/6.69 tff(24145,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24146,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24147,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex0)) | (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24146, 24145])).
% 9.10/6.69 tff(24148,plain,
% 9.10/6.69 (v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24147, 9653, 24104])).
% 9.10/6.69 tff(24149,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24150,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24151,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex0)) | (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 9.10/6.69 tff(24152,plain,
% 9.10/6.69 (v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24151, 9653, 24112])).
% 9.10/6.69 tff(24153,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b100(bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24154,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b100(bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24155,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB175, bitIndex0) <=> b100(bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24154, 24153])).
% 9.10/6.69 tff(24156,plain,
% 9.10/6.69 (v130(constB175, bitIndex0) <=> b100(bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24155, 9653, 24121])).
% 9.10/6.69 tff(24157,plain,
% 9.10/6.69 ((~(v130(constB175, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB175, bitIndex0)) | b100(bitIndex0)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24158,plain,
% 9.10/6.69 ((~(v130(constB175, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB175, bitIndex0))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24157, 10429])).
% 9.10/6.69 tff(24159,plain,
% 9.10/6.69 (~v130(constB175, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24158, 24156])).
% 9.10/6.69 tff(24160,plain,
% 9.10/6.69 ((~(v127(constB175, bitIndex0) <=> v130(constB175, bitIndex0))) | (~v127(constB175, bitIndex0)) | v130(constB175, bitIndex0)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24161,plain,
% 9.10/6.69 (~v127(constB175, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24160, 24159, 24152])).
% 9.10/6.69 tff(24162,plain,
% 9.10/6.69 ((~(v129(constB176, bitIndex0) <=> v127(constB175, bitIndex0))) | (~v129(constB176, bitIndex0)) | v127(constB175, bitIndex0)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24163,plain,
% 9.10/6.69 (~v129(constB176, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24162, 24161, 24148])).
% 9.10/6.69 tff(24164,plain,
% 9.10/6.69 ((~(v90(constB176, bitIndex0) <=> v129(constB176, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24165,plain,
% 9.10/6.69 (~v90(constB176, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24164, 24163, 24144])).
% 9.10/6.69 tff(24166,plain,
% 9.10/6.69 ((~(v90(constB177, bitIndex0) <=> v90(constB176, bitIndex0))) | (~v90(constB177, bitIndex0)) | v90(constB176, bitIndex0)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24167,plain,
% 9.10/6.69 (~v90(constB177, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24166, 24165, 24140])).
% 9.10/6.69 tff(24168,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24169,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24170,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB177, B) <=> v90(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24169, 24168])).
% 9.10/6.69 tff(24171,plain,
% 9.10/6.69 (v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24170, 375, 1532])).
% 9.10/6.69 tff(24172,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24173,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | ((~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24174,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB176, B) <=> v129(constB176, B)))) | (~less_3(bitIndex1)) | (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24173, 24172])).
% 9.10/6.69 tff(24175,plain,
% 9.10/6.69 (v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24174, 375, 24096])).
% 9.10/6.69 tff(24176,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24177,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | ((~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24178,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB176, B) <=> v127(constB175, B)))) | (~less_3(bitIndex1)) | (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24177, 24176])).
% 9.10/6.69 tff(24179,plain,
% 9.10/6.69 (v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24178, 375, 24104])).
% 9.10/6.69 tff(24180,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24181,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | ((~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24182,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB175, B) <=> v130(constB175, B)))) | (~less_3(bitIndex1)) | (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24181, 24180])).
% 9.10/6.69 tff(24183,plain,
% 9.10/6.69 (v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24182, 375, 24112])).
% 9.10/6.69 tff(24184,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b100(bitIndex1)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24185,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b100(bitIndex1)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24186,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB175, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB175, bitIndex1) <=> b100(bitIndex1))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 9.10/6.69 tff(24187,plain,
% 9.10/6.69 (v130(constB175, bitIndex1) <=> b100(bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24186, 375, 24121])).
% 9.10/6.69 tff(24188,plain,
% 9.10/6.69 ((~(v130(constB175, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB175, bitIndex1)) | b100(bitIndex1)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24189,plain,
% 9.10/6.69 ((~(v130(constB175, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB175, bitIndex1))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24188, 10463])).
% 9.10/6.69 tff(24190,plain,
% 9.10/6.69 (~v130(constB175, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24189, 24187])).
% 9.10/6.69 tff(24191,plain,
% 9.10/6.69 ((~(v127(constB175, bitIndex1) <=> v130(constB175, bitIndex1))) | (~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24192,plain,
% 9.10/6.69 (~v127(constB175, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24191, 24190, 24183])).
% 9.10/6.69 tff(24193,plain,
% 9.10/6.69 ((~(v129(constB176, bitIndex1) <=> v127(constB175, bitIndex1))) | (~v129(constB176, bitIndex1)) | v127(constB175, bitIndex1)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24194,plain,
% 9.10/6.69 (~v129(constB176, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24193, 24192, 24179])).
% 9.10/6.69 tff(24195,plain,
% 9.10/6.69 ((~(v90(constB176, bitIndex1) <=> v129(constB176, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24196,plain,
% 9.10/6.69 (~v90(constB176, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24195, 24194, 24175])).
% 9.10/6.69 tff(24197,plain,
% 9.10/6.69 ((~(v90(constB177, bitIndex1) <=> v90(constB176, bitIndex1))) | (~v90(constB177, bitIndex1)) | v90(constB176, bitIndex1)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24198,plain,
% 9.10/6.69 (~v90(constB177, bitIndex1)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24197, 24196, 24171])).
% 9.10/6.69 tff(24199,plain,
% 9.10/6.69 ((~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))) | (~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24200,plain,
% 9.10/6.69 (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24199, 24198, 24167, 24136])).
% 9.10/6.69 tff(24201,plain,
% 9.10/6.69 ((~(v123(constB177) <=> (~((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))))) | v123(constB177) | ((~v90(constB177, bitIndex2)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24202,plain,
% 9.10/6.69 (v123(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24201, 24200, 1504])).
% 9.10/6.69 tff(24203,plain,
% 9.10/6.69 ((v116(constB177) | v123(constB177)) | (~v123(constB177))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24204,plain,
% 9.10/6.69 (v116(constB177) | v123(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24203, 24202])).
% 9.10/6.69 tff(24205,plain,
% 9.10/6.69 ((~(v115(constB177) <=> (v116(constB177) | v123(constB177)))) | v115(constB177) | (~(v116(constB177) | v123(constB177)))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24206,plain,
% 9.10/6.69 (v115(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24205, 24204, 1497])).
% 9.10/6.69 tff(24207,plain,
% 9.10/6.69 ((v115(constB177) | v124(constB177)) | (~v115(constB177))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24208,plain,
% 9.10/6.69 (v115(constB177) | v124(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24207, 24206])).
% 9.10/6.69 tff(24209,plain,
% 9.10/6.69 ((~(v114(constB177) <=> (v115(constB177) | v124(constB177)))) | v114(constB177) | (~(v115(constB177) | v124(constB177)))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24210,plain,
% 9.10/6.69 (v114(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24209, 24208, 1495])).
% 9.10/6.69 tff(24211,plain,
% 9.10/6.69 ((v114(constB177) | v125(constB177)) | (~v114(constB177))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24212,plain,
% 9.10/6.69 (v114(constB177) | v125(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24211, 24210])).
% 9.10/6.69 tff(24213,plain,
% 9.10/6.69 ((~(v113(constB177) <=> (v114(constB177) | v125(constB177)))) | v113(constB177) | (~(v114(constB177) | v125(constB177)))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24214,plain,
% 9.10/6.69 (v113(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24213, 24212, 1493])).
% 9.10/6.69 tff(24215,plain,
% 9.10/6.69 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB177)) <=> v111(constB177))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24216,plain,
% 9.10/6.69 ((~v126(constB177)) <=> v111(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24215, 9720])).
% 9.10/6.69 tff(24217,plain,
% 9.10/6.69 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB177) <=> v26(constB177))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24218,plain,
% 9.10/6.69 (v111(constB177) <=> v26(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24217, 9732])).
% 9.10/6.69 tff(24219,plain,
% 9.10/6.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24220,plain,
% 9.10/6.69 (~v26(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24219, 9744])).
% 9.10/6.69 tff(24221,plain,
% 9.10/6.69 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177)) | v26(constB177)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24222,plain,
% 9.10/6.69 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24221, 24220])).
% 9.10/6.69 tff(24223,plain,
% 9.10/6.69 (~v111(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24222, 24218])).
% 9.10/6.69 tff(24224,plain,
% 9.10/6.69 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177) | v111(constB177)),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24225,plain,
% 9.10/6.69 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24224, 24223])).
% 9.10/6.69 tff(24226,plain,
% 9.10/6.69 (v126(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24225, 24216])).
% 9.10/6.69 tff(24227,plain,
% 9.10/6.69 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177)) | (~v126(constB177))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24228,plain,
% 9.10/6.69 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24227, 24226])).
% 9.10/6.69 tff(24229,plain,
% 9.10/6.69 (~((~v113(constB177)) | (~v126(constB177)))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24228, 24214])).
% 9.10/6.69 tff(24230,plain,
% 9.10/6.69 ((~(v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))) | v112(constB177) | ((~v113(constB177)) | (~v126(constB177)))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24231,plain,
% 9.10/6.69 (v112(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24230, 24229, 1491])).
% 9.10/6.69 tff(24232,plain,
% 9.10/6.69 ((v111(constB177) | v112(constB177)) | (~v112(constB177))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24233,plain,
% 9.10/6.69 (v111(constB177) | v112(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24232, 24231])).
% 9.10/6.69 tff(24234,plain,
% 9.10/6.69 ((~(v108(constB177) <=> (v111(constB177) | v112(constB177)))) | v108(constB177) | (~(v111(constB177) | v112(constB177)))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24235,plain,
% 9.10/6.69 (v108(constB177)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24234, 24233, 1489])).
% 9.10/6.69 tff(24236,plain,
% 9.10/6.69 ((~(v110(constB178) <=> v108(constB177))) | v110(constB178) | (~v108(constB177))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24237,plain,
% 9.10/6.69 (v110(constB178)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24236, 24235, 1487])).
% 9.10/6.69 tff(24238,plain,
% 9.10/6.69 ((~((~v101(constB178)) | (~v110(constB178)))) | (~v101(constB178)) | (~v110(constB178))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24239,plain,
% 9.10/6.69 (~((~v101(constB178)) | (~v110(constB178)))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24238, 24237, 1483])).
% 9.10/6.69 tff(24240,plain,
% 9.10/6.69 ((~(v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))) | v100(constB178) | ((~v101(constB178)) | (~v110(constB178)))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24241,plain,
% 9.10/6.69 (v100(constB178)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24240, 24239, 1452])).
% 9.10/6.69 tff(24242,plain,
% 9.10/6.69 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B))))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24243,plain,
% 9.10/6.69 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B))))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24244,plain,
% 9.10/6.69 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24243, 24242])).
% 9.10/6.69 tff(24245,plain,
% 9.10/6.69 ((~v100(constB178)) | ![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24244, 9780])).
% 9.10/6.69 tff(24246,plain,
% 9.10/6.69 (![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24245, 24241])).
% 9.10/6.69 tff(24247,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24248,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24249,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex2)) | (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24248, 24247])).
% 9.10/6.69 tff(24250,plain,
% 9.10/6.69 (v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24249, 648, 24246])).
% 9.10/6.69 tff(24251,plain,
% 9.10/6.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B))))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24252,plain,
% 9.10/6.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B))))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24253,plain,
% 9.10/6.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24252, 24251])).
% 9.10/6.69 tff(24254,plain,
% 9.10/6.69 (![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24253, 1448, 9802])).
% 9.10/6.69 tff(24255,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24256,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24257,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex2)) | (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24256, 24255])).
% 9.10/6.69 tff(24258,plain,
% 9.10/6.69 (v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24257, 648, 24254])).
% 9.10/6.69 tff(24259,plain,
% 9.10/6.69 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB177) | ![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB177) | ![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B))))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24260,plain,
% 9.10/6.69 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB177) | ![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B))))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24261,plain,
% 9.10/6.69 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB177) | ![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24260, 24259])).
% 9.10/6.69 tff(24262,plain,
% 9.10/6.69 (![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24261, 9823, 24223])).
% 9.10/6.69 tff(24263,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24264,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24265,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex2)) | (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24264, 24263])).
% 9.10/6.69 tff(24266,plain,
% 9.10/6.69 (v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24265, 648, 24262])).
% 9.10/6.69 tff(24267,plain,
% 9.10/6.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B))))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24268,plain,
% 9.10/6.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B))))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24269,plain,
% 9.10/6.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24268, 24267])).
% 9.10/6.69 tff(24270,plain,
% 9.10/6.69 ((~v123(constB177)) | ![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24269, 10555])).
% 9.10/6.69 tff(24271,plain,
% 9.10/6.69 (![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24270, 24202])).
% 9.10/6.69 tff(24272,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b101(bitIndex2)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24273,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b101(bitIndex2)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24274,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB177, bitIndex2) <=> b101(bitIndex2))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24273, 24272])).
% 9.10/6.69 tff(24275,plain,
% 9.10/6.69 (v130(constB177, bitIndex2) <=> b101(bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24274, 648, 24271])).
% 9.10/6.69 tff(24276,plain,
% 9.10/6.69 ((~(v130(constB177, bitIndex2) <=> b101(bitIndex2))) | v130(constB177, bitIndex2) | (~b101(bitIndex2))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24277,plain,
% 9.10/6.69 ((~(v130(constB177, bitIndex2) <=> b101(bitIndex2))) | v130(constB177, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24276, 10567])).
% 9.10/6.69 tff(24278,plain,
% 9.10/6.69 (v130(constB177, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24277, 24275])).
% 9.10/6.69 tff(24279,plain,
% 9.10/6.69 ((~(v127(constB177, bitIndex2) <=> v130(constB177, bitIndex2))) | v127(constB177, bitIndex2) | (~v130(constB177, bitIndex2))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24280,plain,
% 9.10/6.69 (v127(constB177, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24279, 24278, 24266])).
% 9.10/6.69 tff(24281,plain,
% 9.10/6.69 ((~(v129(constB178, bitIndex2) <=> v127(constB177, bitIndex2))) | v129(constB178, bitIndex2) | (~v127(constB177, bitIndex2))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24282,plain,
% 9.10/6.69 (v129(constB178, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24281, 24280, 24258])).
% 9.10/6.69 tff(24283,plain,
% 9.10/6.69 ((~(v90(constB178, bitIndex2) <=> v129(constB178, bitIndex2))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24284,plain,
% 9.10/6.69 (v90(constB178, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24283, 24282, 24250])).
% 9.10/6.69 tff(24285,plain,
% 9.10/6.69 ((~(v90(constB179, bitIndex2) <=> v90(constB178, bitIndex2))) | v90(constB179, bitIndex2) | (~v90(constB178, bitIndex2))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24286,plain,
% 9.10/6.69 (v90(constB179, bitIndex2)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24285, 24284, 1445])).
% 9.10/6.69 tff(24287,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24288,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24289,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24288, 24287])).
% 9.10/6.69 tff(24290,plain,
% 9.10/6.69 (v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24289, 9653, 1441])).
% 9.10/6.69 tff(24291,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24292,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24293,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex0)) | (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24292, 24291])).
% 9.10/6.69 tff(24294,plain,
% 9.10/6.69 (v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24293, 9653, 24246])).
% 9.10/6.69 tff(24295,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24296,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24297,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex0)) | (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24296, 24295])).
% 9.10/6.69 tff(24298,plain,
% 9.10/6.69 (v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24297, 9653, 24254])).
% 9.10/6.69 tff(24299,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24300,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24301,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex0)) | (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24300, 24299])).
% 9.10/6.69 tff(24302,plain,
% 9.10/6.69 (v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24301, 9653, 24262])).
% 9.10/6.69 tff(24303,plain,
% 9.10/6.69 (((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b101(bitIndex0)))),
% 9.10/6.69 inference(rewrite,[status(thm)],[])).
% 9.10/6.69 tff(24304,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b101(bitIndex0)))),
% 9.10/6.69 inference(quant_inst,[status(thm)],[])).
% 9.10/6.69 tff(24305,plain,
% 9.10/6.69 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB177, bitIndex0) <=> b101(bitIndex0))),
% 9.10/6.69 inference(modus_ponens,[status(thm)],[24304, 24303])).
% 9.10/6.69 tff(24306,plain,
% 9.10/6.69 (v130(constB177, bitIndex0) <=> b101(bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24305, 9653, 24271])).
% 9.10/6.69 tff(24307,plain,
% 9.10/6.69 ((~(v130(constB177, bitIndex0) <=> b101(bitIndex0))) | v130(constB177, bitIndex0) | (~b101(bitIndex0))),
% 9.10/6.69 inference(tautology,[status(thm)],[])).
% 9.10/6.69 tff(24308,plain,
% 9.10/6.69 ((~(v130(constB177, bitIndex0) <=> b101(bitIndex0))) | v130(constB177, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24307, 10601])).
% 9.10/6.69 tff(24309,plain,
% 9.10/6.69 (v130(constB177, bitIndex0)),
% 9.10/6.69 inference(unit_resolution,[status(thm)],[24308, 24306])).
% 9.10/6.70 tff(24310,plain,
% 9.10/6.70 ((~(v127(constB177, bitIndex0) <=> v130(constB177, bitIndex0))) | v127(constB177, bitIndex0) | (~v130(constB177, bitIndex0))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24311,plain,
% 9.10/6.70 (v127(constB177, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24310, 24309, 24302])).
% 9.10/6.70 tff(24312,plain,
% 9.10/6.70 ((~(v129(constB178, bitIndex0) <=> v127(constB177, bitIndex0))) | v129(constB178, bitIndex0) | (~v127(constB177, bitIndex0))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24313,plain,
% 9.10/6.70 (v129(constB178, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24312, 24311, 24298])).
% 9.10/6.70 tff(24314,plain,
% 9.10/6.70 ((~(v90(constB178, bitIndex0) <=> v129(constB178, bitIndex0))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24315,plain,
% 9.10/6.70 (v90(constB178, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24314, 24313, 24294])).
% 9.10/6.70 tff(24316,plain,
% 9.10/6.70 ((~(v90(constB179, bitIndex0) <=> v90(constB178, bitIndex0))) | v90(constB179, bitIndex0) | (~v90(constB178, bitIndex0))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24317,plain,
% 9.10/6.70 (v90(constB179, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24316, 24315, 24290])).
% 9.10/6.70 tff(24318,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24319,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24320,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB179, B) <=> v90(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 9.10/6.70 tff(24321,plain,
% 9.10/6.70 (v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24320, 375, 1441])).
% 9.10/6.70 tff(24322,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24323,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | ((~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24324,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB178, B) <=> v129(constB178, B)))) | (~less_3(bitIndex1)) | (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 9.10/6.70 tff(24325,plain,
% 9.10/6.70 (v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24324, 375, 24246])).
% 9.10/6.70 tff(24326,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24327,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | ((~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24328,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB178, B) <=> v127(constB177, B)))) | (~less_3(bitIndex1)) | (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 9.10/6.70 tff(24329,plain,
% 9.10/6.70 (v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24328, 375, 24254])).
% 9.10/6.70 tff(24330,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24331,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | ((~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24332,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB177, B) <=> v130(constB177, B)))) | (~less_3(bitIndex1)) | (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24331, 24330])).
% 9.10/6.70 tff(24333,plain,
% 9.10/6.70 (v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24332, 375, 24262])).
% 9.10/6.70 tff(24334,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b101(bitIndex1)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24335,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b101(bitIndex1)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24336,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB177, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB177, bitIndex1) <=> b101(bitIndex1))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24335, 24334])).
% 9.10/6.70 tff(24337,plain,
% 9.10/6.70 (v130(constB177, bitIndex1) <=> b101(bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24336, 375, 24271])).
% 9.10/6.70 tff(24338,plain,
% 9.10/6.70 ((~(v130(constB177, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB177, bitIndex1)) | b101(bitIndex1)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24339,plain,
% 9.10/6.70 ((~(v130(constB177, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB177, bitIndex1))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24338, 10635])).
% 9.10/6.70 tff(24340,plain,
% 9.10/6.70 (~v130(constB177, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24339, 24337])).
% 9.10/6.70 tff(24341,plain,
% 9.10/6.70 ((~(v127(constB177, bitIndex1) <=> v130(constB177, bitIndex1))) | (~v127(constB177, bitIndex1)) | v130(constB177, bitIndex1)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24342,plain,
% 9.10/6.70 (~v127(constB177, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24341, 24340, 24333])).
% 9.10/6.70 tff(24343,plain,
% 9.10/6.70 ((~(v129(constB178, bitIndex1) <=> v127(constB177, bitIndex1))) | (~v129(constB178, bitIndex1)) | v127(constB177, bitIndex1)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24344,plain,
% 9.10/6.70 (~v129(constB178, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24343, 24342, 24329])).
% 9.10/6.70 tff(24345,plain,
% 9.10/6.70 ((~(v90(constB178, bitIndex1) <=> v129(constB178, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24346,plain,
% 9.10/6.70 (~v90(constB178, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24345, 24344, 24325])).
% 9.10/6.70 tff(24347,plain,
% 9.10/6.70 ((~(v90(constB179, bitIndex1) <=> v90(constB178, bitIndex1))) | (~v90(constB179, bitIndex1)) | v90(constB178, bitIndex1)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24348,plain,
% 9.10/6.70 (~v90(constB179, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24347, 24346, 24321])).
% 9.10/6.70 tff(24349,plain,
% 9.10/6.70 ((~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))) | (~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24350,plain,
% 9.10/6.70 (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24349, 24348, 24317, 24286])).
% 9.10/6.70 tff(24351,plain,
% 9.10/6.70 ((~(v124(constB179) <=> (~((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))))) | v124(constB179) | ((~v90(constB179, bitIndex2)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24352,plain,
% 9.10/6.70 (v124(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24351, 24350, 1413])).
% 9.10/6.70 tff(24353,plain,
% 9.10/6.70 ((v115(constB179) | v124(constB179)) | (~v124(constB179))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24354,plain,
% 9.10/6.70 (v115(constB179) | v124(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24353, 24352])).
% 9.10/6.70 tff(24355,plain,
% 9.10/6.70 ((~(v114(constB179) <=> (v115(constB179) | v124(constB179)))) | v114(constB179) | (~(v115(constB179) | v124(constB179)))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24356,plain,
% 9.10/6.70 (v114(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24355, 24354, 1406])).
% 9.10/6.70 tff(24357,plain,
% 9.10/6.70 ((v114(constB179) | v125(constB179)) | (~v114(constB179))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24358,plain,
% 9.10/6.70 (v114(constB179) | v125(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24357, 24356])).
% 9.10/6.70 tff(24359,plain,
% 9.10/6.70 ((~(v113(constB179) <=> (v114(constB179) | v125(constB179)))) | v113(constB179) | (~(v114(constB179) | v125(constB179)))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24360,plain,
% 9.10/6.70 (v113(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24359, 24358, 1404])).
% 9.10/6.70 tff(24361,plain,
% 9.10/6.70 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB179)) <=> v111(constB179))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24362,plain,
% 9.10/6.70 ((~v126(constB179)) <=> v111(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24361, 9720])).
% 9.10/6.70 tff(24363,plain,
% 9.10/6.70 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB179) <=> v26(constB179))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24364,plain,
% 9.10/6.70 (v111(constB179) <=> v26(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24363, 9732])).
% 9.10/6.70 tff(24365,plain,
% 9.10/6.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24366,plain,
% 9.10/6.70 (~v26(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24365, 9744])).
% 9.10/6.70 tff(24367,plain,
% 9.10/6.70 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179)) | v26(constB179)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24368,plain,
% 9.10/6.70 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24367, 24366])).
% 9.10/6.70 tff(24369,plain,
% 9.10/6.70 (~v111(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24368, 24364])).
% 9.10/6.70 tff(24370,plain,
% 9.10/6.70 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179) | v111(constB179)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24371,plain,
% 9.10/6.70 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24370, 24369])).
% 9.10/6.70 tff(24372,plain,
% 9.10/6.70 (v126(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24371, 24362])).
% 9.10/6.70 tff(24373,plain,
% 9.10/6.70 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179)) | (~v126(constB179))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24374,plain,
% 9.10/6.70 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24373, 24372])).
% 9.10/6.70 tff(24375,plain,
% 9.10/6.70 (~((~v113(constB179)) | (~v126(constB179)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24374, 24360])).
% 9.10/6.70 tff(24376,plain,
% 9.10/6.70 ((~(v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))) | v112(constB179) | ((~v113(constB179)) | (~v126(constB179)))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24377,plain,
% 9.10/6.70 (v112(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24376, 24375, 1402])).
% 9.10/6.70 tff(24378,plain,
% 9.10/6.70 ((v111(constB179) | v112(constB179)) | (~v112(constB179))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24379,plain,
% 9.10/6.70 (v111(constB179) | v112(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24378, 24377])).
% 9.10/6.70 tff(24380,plain,
% 9.10/6.70 ((~(v108(constB179) <=> (v111(constB179) | v112(constB179)))) | v108(constB179) | (~(v111(constB179) | v112(constB179)))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24381,plain,
% 9.10/6.70 (v108(constB179)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24380, 24379, 1400])).
% 9.10/6.70 tff(24382,plain,
% 9.10/6.70 ((~(v110(constB180) <=> v108(constB179))) | v110(constB180) | (~v108(constB179))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24383,plain,
% 9.10/6.70 (v110(constB180)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24382, 24381, 1398])).
% 9.10/6.70 tff(24384,plain,
% 9.10/6.70 ((~((~v101(constB180)) | (~v110(constB180)))) | (~v101(constB180)) | (~v110(constB180))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24385,plain,
% 9.10/6.70 (~((~v101(constB180)) | (~v110(constB180)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24384, 24383, 1394])).
% 9.10/6.70 tff(24386,plain,
% 9.10/6.70 ((~(v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))) | v100(constB180) | ((~v101(constB180)) | (~v110(constB180)))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24387,plain,
% 9.10/6.70 (v100(constB180)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24386, 24385, 1363])).
% 9.10/6.70 tff(24388,plain,
% 9.10/6.70 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B))))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24389,plain,
% 9.10/6.70 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B))))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24390,plain,
% 9.10/6.70 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24389, 24388])).
% 9.10/6.70 tff(24391,plain,
% 9.10/6.70 ((~v100(constB180)) | ![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24390, 9780])).
% 9.10/6.70 tff(24392,plain,
% 9.10/6.70 (![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24391, 24387])).
% 9.10/6.70 tff(24393,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24394,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24395,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex2)) | (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24394, 24393])).
% 9.10/6.70 tff(24396,plain,
% 9.10/6.70 (v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24395, 648, 24392])).
% 9.10/6.70 tff(24397,plain,
% 9.10/6.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B))))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24398,plain,
% 9.10/6.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B))))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24399,plain,
% 9.10/6.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 9.10/6.70 tff(24400,plain,
% 9.10/6.70 (![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24399, 1359, 9802])).
% 9.10/6.70 tff(24401,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24402,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24403,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex2)) | (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24402, 24401])).
% 9.10/6.70 tff(24404,plain,
% 9.10/6.70 (v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24403, 648, 24400])).
% 9.10/6.70 tff(24405,plain,
% 9.10/6.70 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB179) | ![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB179) | ![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B))))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24406,plain,
% 9.10/6.70 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB179) | ![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B))))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24407,plain,
% 9.10/6.70 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB179) | ![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24406, 24405])).
% 9.10/6.70 tff(24408,plain,
% 9.10/6.70 (![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24407, 9823, 24369])).
% 9.10/6.70 tff(24409,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24410,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24411,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex2)) | (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24410, 24409])).
% 9.10/6.70 tff(24412,plain,
% 9.10/6.70 (v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24411, 648, 24408])).
% 9.10/6.70 tff(24413,plain,
% 9.10/6.70 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B))))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24414,plain,
% 9.10/6.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B))))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24415,plain,
% 9.10/6.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24414, 24413])).
% 9.10/6.70 tff(24416,plain,
% 9.10/6.70 ((~v124(constB179)) | ![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24415, 10723])).
% 9.10/6.70 tff(24417,plain,
% 9.10/6.70 (![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24416, 24352])).
% 9.10/6.70 tff(24418,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b110(bitIndex2)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24419,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b110(bitIndex2)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24420,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB179, bitIndex2) <=> b110(bitIndex2))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24419, 24418])).
% 9.10/6.70 tff(24421,plain,
% 9.10/6.70 (v130(constB179, bitIndex2) <=> b110(bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24420, 648, 24417])).
% 9.10/6.70 tff(24422,plain,
% 9.10/6.70 ((~(v130(constB179, bitIndex2) <=> b110(bitIndex2))) | v130(constB179, bitIndex2) | (~b110(bitIndex2))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24423,plain,
% 9.10/6.70 ((~(v130(constB179, bitIndex2) <=> b110(bitIndex2))) | v130(constB179, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24422, 10735])).
% 9.10/6.70 tff(24424,plain,
% 9.10/6.70 (v130(constB179, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24423, 24421])).
% 9.10/6.70 tff(24425,plain,
% 9.10/6.70 ((~(v127(constB179, bitIndex2) <=> v130(constB179, bitIndex2))) | v127(constB179, bitIndex2) | (~v130(constB179, bitIndex2))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24426,plain,
% 9.10/6.70 (v127(constB179, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24425, 24424, 24412])).
% 9.10/6.70 tff(24427,plain,
% 9.10/6.70 ((~(v129(constB180, bitIndex2) <=> v127(constB179, bitIndex2))) | v129(constB180, bitIndex2) | (~v127(constB179, bitIndex2))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24428,plain,
% 9.10/6.70 (v129(constB180, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24427, 24426, 24404])).
% 9.10/6.70 tff(24429,plain,
% 9.10/6.70 ((~(v90(constB180, bitIndex2) <=> v129(constB180, bitIndex2))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24430,plain,
% 9.10/6.70 (v90(constB180, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24429, 24428, 24396])).
% 9.10/6.70 tff(24431,plain,
% 9.10/6.70 ((~(v90(constB181, bitIndex2) <=> v90(constB180, bitIndex2))) | v90(constB181, bitIndex2) | (~v90(constB180, bitIndex2))),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24432,plain,
% 9.10/6.70 (v90(constB181, bitIndex2)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24431, 24430, 1356])).
% 9.10/6.70 tff(24433,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24434,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24435,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24434, 24433])).
% 9.10/6.70 tff(24436,plain,
% 9.10/6.70 (v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24435, 9653, 1352])).
% 9.10/6.70 tff(24437,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24438,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24439,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex0)) | (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24438, 24437])).
% 9.10/6.70 tff(24440,plain,
% 9.10/6.70 (v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24439, 9653, 24392])).
% 9.10/6.70 tff(24441,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24442,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24443,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex0)) | (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24442, 24441])).
% 9.10/6.70 tff(24444,plain,
% 9.10/6.70 (v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24443, 9653, 24400])).
% 9.10/6.70 tff(24445,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24446,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24447,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex0)) | (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24446, 24445])).
% 9.10/6.70 tff(24448,plain,
% 9.10/6.70 (v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24447, 9653, 24408])).
% 9.10/6.70 tff(24449,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b110(bitIndex0)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24450,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b110(bitIndex0)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24451,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB179, bitIndex0) <=> b110(bitIndex0))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 9.10/6.70 tff(24452,plain,
% 9.10/6.70 (v130(constB179, bitIndex0) <=> b110(bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24451, 9653, 24417])).
% 9.10/6.70 tff(24453,plain,
% 9.10/6.70 ((~(v130(constB179, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB179, bitIndex0)) | b110(bitIndex0)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24454,plain,
% 9.10/6.70 ((~(v130(constB179, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB179, bitIndex0))),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24453, 10769])).
% 9.10/6.70 tff(24455,plain,
% 9.10/6.70 (~v130(constB179, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24454, 24452])).
% 9.10/6.70 tff(24456,plain,
% 9.10/6.70 ((~(v127(constB179, bitIndex0) <=> v130(constB179, bitIndex0))) | (~v127(constB179, bitIndex0)) | v130(constB179, bitIndex0)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24457,plain,
% 9.10/6.70 (~v127(constB179, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24456, 24455, 24448])).
% 9.10/6.70 tff(24458,plain,
% 9.10/6.70 ((~(v129(constB180, bitIndex0) <=> v127(constB179, bitIndex0))) | (~v129(constB180, bitIndex0)) | v127(constB179, bitIndex0)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24459,plain,
% 9.10/6.70 (~v129(constB180, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24458, 24457, 24444])).
% 9.10/6.70 tff(24460,plain,
% 9.10/6.70 ((~(v90(constB180, bitIndex0) <=> v129(constB180, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24461,plain,
% 9.10/6.70 (~v90(constB180, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24460, 24459, 24440])).
% 9.10/6.70 tff(24462,plain,
% 9.10/6.70 ((~(v90(constB181, bitIndex0) <=> v90(constB180, bitIndex0))) | (~v90(constB181, bitIndex0)) | v90(constB180, bitIndex0)),
% 9.10/6.70 inference(tautology,[status(thm)],[])).
% 9.10/6.70 tff(24463,plain,
% 9.10/6.70 (~v90(constB181, bitIndex0)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24462, 24461, 24436])).
% 9.10/6.70 tff(24464,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24465,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.70 tff(24466,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB181, B) <=> v90(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1))),
% 9.10/6.70 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 9.10/6.70 tff(24467,plain,
% 9.10/6.70 (v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1)),
% 9.10/6.70 inference(unit_resolution,[status(thm)],[24466, 375, 1352])).
% 9.10/6.70 tff(24468,plain,
% 9.10/6.70 (((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)))),
% 9.10/6.70 inference(rewrite,[status(thm)],[])).
% 9.10/6.70 tff(24469,plain,
% 9.10/6.70 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | ((~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)))),
% 9.10/6.70 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24470,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB180, B) <=> v129(constB180, B)))) | (~less_3(bitIndex1)) | (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24469, 24468])).
% 9.10/6.71 tff(24471,plain,
% 9.10/6.71 (v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24470, 375, 24392])).
% 9.10/6.71 tff(24472,plain,
% 9.10/6.71 (((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24473,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | ((~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24474,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB180, B) <=> v127(constB179, B)))) | (~less_3(bitIndex1)) | (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24473, 24472])).
% 9.10/6.71 tff(24475,plain,
% 9.10/6.71 (v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24474, 375, 24400])).
% 9.10/6.71 tff(24476,plain,
% 9.10/6.71 (((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24477,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | ((~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24478,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB179, B) <=> v130(constB179, B)))) | (~less_3(bitIndex1)) | (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24477, 24476])).
% 9.10/6.71 tff(24479,plain,
% 9.10/6.71 (v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24478, 375, 24408])).
% 9.10/6.71 tff(24480,plain,
% 9.10/6.71 (((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b110(bitIndex1)))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24481,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b110(bitIndex1)))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24482,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v130(constB179, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB179, bitIndex1) <=> b110(bitIndex1))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24481, 24480])).
% 9.10/6.71 tff(24483,plain,
% 9.10/6.71 (v130(constB179, bitIndex1) <=> b110(bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24482, 375, 24417])).
% 9.10/6.71 tff(24484,plain,
% 9.10/6.71 ((~(v130(constB179, bitIndex1) <=> b110(bitIndex1))) | v130(constB179, bitIndex1) | (~b110(bitIndex1))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24485,plain,
% 9.10/6.71 ((~(v130(constB179, bitIndex1) <=> b110(bitIndex1))) | v130(constB179, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24484, 10803])).
% 9.10/6.71 tff(24486,plain,
% 9.10/6.71 (v130(constB179, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24485, 24483])).
% 9.10/6.71 tff(24487,plain,
% 9.10/6.71 ((~(v127(constB179, bitIndex1) <=> v130(constB179, bitIndex1))) | v127(constB179, bitIndex1) | (~v130(constB179, bitIndex1))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24488,plain,
% 9.10/6.71 (v127(constB179, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24487, 24486, 24479])).
% 9.10/6.71 tff(24489,plain,
% 9.10/6.71 ((~(v129(constB180, bitIndex1) <=> v127(constB179, bitIndex1))) | v129(constB180, bitIndex1) | (~v127(constB179, bitIndex1))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24490,plain,
% 9.10/6.71 (v129(constB180, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24489, 24488, 24475])).
% 9.10/6.71 tff(24491,plain,
% 9.10/6.71 ((~(v90(constB180, bitIndex1) <=> v129(constB180, bitIndex1))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24492,plain,
% 9.10/6.71 (v90(constB180, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24491, 24490, 24471])).
% 9.10/6.71 tff(24493,plain,
% 9.10/6.71 ((~(v90(constB181, bitIndex1) <=> v90(constB180, bitIndex1))) | v90(constB181, bitIndex1) | (~v90(constB180, bitIndex1))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24494,plain,
% 9.10/6.71 (v90(constB181, bitIndex1)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24493, 24492, 24467])).
% 9.10/6.71 tff(24495,plain,
% 9.10/6.71 ((~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24496,plain,
% 9.10/6.71 (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24495, 24494, 24463, 24432])).
% 9.10/6.71 tff(24497,plain,
% 9.10/6.71 ((~(v125(constB181) <=> (~((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))) | v125(constB181) | ((~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24498,plain,
% 9.10/6.71 (v125(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24497, 24496, 1324])).
% 9.10/6.71 tff(24499,plain,
% 9.10/6.71 ((v114(constB181) | v125(constB181)) | (~v125(constB181))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24500,plain,
% 9.10/6.71 (v114(constB181) | v125(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24499, 24498])).
% 9.10/6.71 tff(24501,plain,
% 9.10/6.71 ((~(v113(constB181) <=> (v114(constB181) | v125(constB181)))) | v113(constB181) | (~(v114(constB181) | v125(constB181)))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24502,plain,
% 9.10/6.71 (v113(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24501, 24500, 1317])).
% 9.10/6.71 tff(24503,plain,
% 9.10/6.71 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB181)) <=> v111(constB181))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24504,plain,
% 9.10/6.71 ((~v126(constB181)) <=> v111(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24503, 9720])).
% 9.10/6.71 tff(24505,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB181) <=> v26(constB181))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24506,plain,
% 9.10/6.71 (v111(constB181) <=> v26(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24505, 9732])).
% 9.10/6.71 tff(24507,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24508,plain,
% 9.10/6.71 (~v26(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24507, 9744])).
% 9.10/6.71 tff(24509,plain,
% 9.10/6.71 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181)) | v26(constB181)),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24510,plain,
% 9.10/6.71 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24509, 24508])).
% 9.10/6.71 tff(24511,plain,
% 9.10/6.71 (~v111(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24510, 24506])).
% 9.10/6.71 tff(24512,plain,
% 9.10/6.71 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181) | v111(constB181)),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24513,plain,
% 9.10/6.71 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24512, 24511])).
% 9.10/6.71 tff(24514,plain,
% 9.10/6.71 (v126(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24513, 24504])).
% 9.10/6.71 tff(24515,plain,
% 9.10/6.71 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181)) | (~v126(constB181))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24516,plain,
% 9.10/6.71 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24515, 24514])).
% 9.10/6.71 tff(24517,plain,
% 9.10/6.71 (~((~v113(constB181)) | (~v126(constB181)))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24516, 24502])).
% 9.10/6.71 tff(24518,plain,
% 9.10/6.71 ((~(v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))) | v112(constB181) | ((~v113(constB181)) | (~v126(constB181)))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24519,plain,
% 9.10/6.71 (v112(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24518, 24517, 1315])).
% 9.10/6.71 tff(24520,plain,
% 9.10/6.71 ((v111(constB181) | v112(constB181)) | (~v112(constB181))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24521,plain,
% 9.10/6.71 (v111(constB181) | v112(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24520, 24519])).
% 9.10/6.71 tff(24522,plain,
% 9.10/6.71 ((~(v108(constB181) <=> (v111(constB181) | v112(constB181)))) | v108(constB181) | (~(v111(constB181) | v112(constB181)))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24523,plain,
% 9.10/6.71 (v108(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24522, 24521, 1313])).
% 9.10/6.71 tff(24524,plain,
% 9.10/6.71 ((~(v110(constB182) <=> v108(constB181))) | v110(constB182) | (~v108(constB181))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24525,plain,
% 9.10/6.71 (v110(constB182)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24524, 24523, 1311])).
% 9.10/6.71 tff(24526,plain,
% 9.10/6.71 ((~((~v101(constB182)) | (~v110(constB182)))) | (~v101(constB182)) | (~v110(constB182))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24527,plain,
% 9.10/6.71 (~((~v101(constB182)) | (~v110(constB182)))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24526, 24525, 1307])).
% 9.10/6.71 tff(24528,plain,
% 9.10/6.71 ((~(v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))) | v100(constB182) | ((~v101(constB182)) | (~v110(constB182)))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24529,plain,
% 9.10/6.71 (v100(constB182)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24528, 24527, 1276])).
% 9.10/6.71 tff(24530,plain,
% 9.10/6.71 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24531,plain,
% 9.10/6.71 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B))))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24532,plain,
% 9.10/6.71 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24531, 24530])).
% 9.10/6.71 tff(24533,plain,
% 9.10/6.71 ((~v100(constB182)) | ![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24532, 9780])).
% 9.10/6.71 tff(24534,plain,
% 9.10/6.71 (![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24533, 24529])).
% 9.10/6.71 tff(24535,plain,
% 9.10/6.71 (((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24536,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24537,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex2)) | (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 9.10/6.71 tff(24538,plain,
% 9.10/6.71 (v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24537, 648, 24534])).
% 9.10/6.71 tff(24539,plain,
% 9.10/6.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24540,plain,
% 9.10/6.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B))))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24541,plain,
% 9.10/6.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 9.10/6.71 tff(24542,plain,
% 9.10/6.71 (![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24541, 1272, 9802])).
% 9.10/6.71 tff(24543,plain,
% 9.10/6.71 (((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24544,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24545,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex2)) | (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24544, 24543])).
% 9.10/6.71 tff(24546,plain,
% 9.10/6.71 (v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24545, 648, 24542])).
% 9.10/6.71 tff(24547,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB181) | ![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB181) | ![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24548,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB181) | ![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B))))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24549,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB181) | ![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24548, 24547])).
% 9.10/6.71 tff(24550,plain,
% 9.10/6.71 (![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24549, 9823, 24511])).
% 9.10/6.71 tff(24551,plain,
% 9.10/6.71 (((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24552,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24553,plain,
% 9.10/6.71 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex2)) | (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24552, 24551])).
% 9.10/6.71 tff(24554,plain,
% 9.10/6.71 (v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24553, 648, 24550])).
% 9.10/6.71 tff(24555,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24556,plain,
% 9.10/6.71 (v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24555, 9620])).
% 9.10/6.71 tff(24557,plain,
% 9.10/6.71 ((v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex2))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24558,plain,
% 9.10/6.71 (v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24557, 24432])).
% 9.10/6.71 tff(24559,plain,
% 9.10/6.71 ((~(v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))))) | (~v119(constB181)) | (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24560,plain,
% 9.10/6.71 (~v119(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24559, 24558, 24556])).
% 9.10/6.71 tff(24561,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24562,plain,
% 9.10/6.71 ((v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2))))) <=> (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24563,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.71 inference(monotonicity,[status(thm)],[24562])).
% 9.10/6.71 tff(24564,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.71 inference(transitivity,[status(thm)],[24563, 24561])).
% 9.10/6.71 tff(24565,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2)))))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24566,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24565, 24564])).
% 9.10/6.71 tff(24567,plain,
% 9.10/6.71 (v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24566, 815])).
% 9.10/6.71 tff(24568,plain,
% 9.10/6.71 (((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex1))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24569,plain,
% 9.10/6.71 ((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24568, 24494])).
% 9.10/6.71 tff(24570,plain,
% 9.10/6.71 ((~(v124(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))) | (~v124(constB181)) | (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24571,plain,
% 9.10/6.71 (~v124(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24570, 24569, 24567])).
% 9.10/6.71 tff(24572,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24573,plain,
% 9.10/6.71 ((v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2))))) <=> (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24574,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)))))),
% 9.10/6.71 inference(monotonicity,[status(thm)],[24573])).
% 9.10/6.71 tff(24575,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)))))),
% 9.10/6.71 inference(transitivity,[status(thm)],[24574, 24572])).
% 9.10/6.71 tff(24576,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)))))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24577,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0))))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24576, 24575])).
% 9.10/6.71 tff(24578,plain,
% 9.10/6.71 (v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24577, 919])).
% 9.10/6.71 tff(24579,plain,
% 9.10/6.71 (((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24580,plain,
% 9.10/6.71 ((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24579, 24494])).
% 9.10/6.71 tff(24581,plain,
% 9.10/6.71 ((~(v123(constB181) <=> (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0))))) | (~v123(constB181)) | (~((~v90(constB181, bitIndex2)) | v90(constB181, bitIndex1) | v90(constB181, bitIndex0)))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24582,plain,
% 9.10/6.71 (~v123(constB181)),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24581, 24580, 24578])).
% 9.10/6.71 tff(24583,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24584,plain,
% 9.10/6.71 ((v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1))))) <=> (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 9.10/6.71 inference(rewrite,[status(thm)],[])).
% 9.10/6.71 tff(24585,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.71 inference(monotonicity,[status(thm)],[24584])).
% 9.10/6.71 tff(24586,plain,
% 9.10/6.71 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.71 inference(transitivity,[status(thm)],[24585, 24583])).
% 9.10/6.71 tff(24587,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))),
% 9.10/6.71 inference(quant_inst,[status(thm)],[])).
% 9.10/6.71 tff(24588,plain,
% 9.10/6.71 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 9.10/6.71 inference(modus_ponens,[status(thm)],[24587, 24586])).
% 9.10/6.71 tff(24589,plain,
% 9.10/6.71 (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))),
% 9.10/6.71 inference(unit_resolution,[status(thm)],[24588, 1025])).
% 9.10/6.71 tff(24590,plain,
% 9.10/6.71 ((v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex2))),
% 9.10/6.71 inference(tautology,[status(thm)],[])).
% 9.10/6.71 tff(24591,plain,
% 9.10/6.71 (v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24590, 24432])).
% 9.10/6.72 tff(24592,plain,
% 9.10/6.72 ((~(v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))) | (~v122(constB181)) | (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24593,plain,
% 9.10/6.72 (~v122(constB181)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24592, 24591, 24589])).
% 9.10/6.72 tff(24594,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24595,plain,
% 9.10/6.72 ((v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1))))) <=> (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24596,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))))),
% 9.10/6.72 inference(monotonicity,[status(thm)],[24595])).
% 9.10/6.72 tff(24597,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))))),
% 9.10/6.72 inference(transitivity,[status(thm)],[24596, 24594])).
% 9.10/6.72 tff(24598,plain,
% 9.10/6.72 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)))))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24599,plain,
% 9.10/6.72 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24598, 24597])).
% 9.10/6.72 tff(24600,plain,
% 9.10/6.72 (v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24599, 1133])).
% 9.10/6.72 tff(24601,plain,
% 9.10/6.72 ((v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24602,plain,
% 9.10/6.72 (v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24601, 24432])).
% 9.10/6.72 tff(24603,plain,
% 9.10/6.72 ((~(v121(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0))))) | (~v121(constB181)) | (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex0)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24604,plain,
% 9.10/6.72 (~v121(constB181)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24603, 24602, 24600])).
% 9.10/6.72 tff(24605,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24606,plain,
% 9.10/6.72 ((v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0))))) <=> (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24607,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.72 inference(monotonicity,[status(thm)],[24606])).
% 9.10/6.72 tff(24608,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))))),
% 9.10/6.72 inference(transitivity,[status(thm)],[24607, 24605])).
% 9.10/6.72 tff(24609,plain,
% 9.10/6.72 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)))))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24610,plain,
% 9.10/6.72 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24609, 24608])).
% 9.10/6.72 tff(24611,plain,
% 9.10/6.72 (v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24610, 610])).
% 9.10/6.72 tff(24612,plain,
% 9.10/6.72 ((v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex2))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24613,plain,
% 9.10/6.72 (v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24612, 24432])).
% 9.10/6.72 tff(24614,plain,
% 9.10/6.72 ((~(v120(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)))))) | (~v120(constB181)) | (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0))))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24615,plain,
% 9.10/6.72 (~v120(constB181)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24614, 24613, 24611])).
% 9.10/6.72 tff(24616,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B))))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24617,plain,
% 9.10/6.72 ((v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) <=> (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B))))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24618,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))))),
% 9.10/6.72 inference(monotonicity,[status(thm)],[24617])).
% 9.10/6.72 tff(24619,plain,
% 9.10/6.72 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B))))),
% 9.10/6.72 inference(transitivity,[status(thm)],[24618, 24616])).
% 9.10/6.72 tff(24620,plain,
% 9.10/6.72 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B))))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24621,plain,
% 9.10/6.72 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24620, 24619])).
% 9.10/6.72 tff(24622,plain,
% 9.10/6.72 (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | ![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24621, 10951])).
% 9.10/6.72 tff(24623,plain,
% 9.10/6.72 (![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24622, 24615, 24604, 24593, 24582, 24571, 24560])).
% 9.10/6.72 tff(24624,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b001(bitIndex2)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24625,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b001(bitIndex2)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24626,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB181, bitIndex2) <=> b001(bitIndex2))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24625, 24624])).
% 9.10/6.72 tff(24627,plain,
% 9.10/6.72 (v130(constB181, bitIndex2) <=> b001(bitIndex2)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24626, 648, 24623])).
% 9.10/6.72 tff(24628,plain,
% 9.10/6.72 ((~(v130(constB181, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB181, bitIndex2)) | b001(bitIndex2)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24629,plain,
% 9.10/6.72 ((~(v130(constB181, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB181, bitIndex2))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24628, 9855])).
% 9.10/6.72 tff(24630,plain,
% 9.10/6.72 (~v130(constB181, bitIndex2)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24629, 24627])).
% 9.10/6.72 tff(24631,plain,
% 9.10/6.72 ((~(v127(constB181, bitIndex2) <=> v130(constB181, bitIndex2))) | (~v127(constB181, bitIndex2)) | v130(constB181, bitIndex2)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24632,plain,
% 9.10/6.72 (~v127(constB181, bitIndex2)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24631, 24630, 24554])).
% 9.10/6.72 tff(24633,plain,
% 9.10/6.72 ((~(v129(constB182, bitIndex2) <=> v127(constB181, bitIndex2))) | (~v129(constB182, bitIndex2)) | v127(constB181, bitIndex2)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24634,plain,
% 9.10/6.72 (~v129(constB182, bitIndex2)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24633, 24632, 24546])).
% 9.10/6.72 tff(24635,plain,
% 9.10/6.72 ((~(v90(constB182, bitIndex2) <=> v129(constB182, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24636,plain,
% 9.10/6.72 (~v90(constB182, bitIndex2)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24635, 24634, 24538])).
% 9.10/6.72 tff(24637,plain,
% 9.10/6.72 ((~(v90(constB183, bitIndex2) <=> v90(constB182, bitIndex2))) | (~v90(constB183, bitIndex2)) | v90(constB182, bitIndex2)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24638,plain,
% 9.10/6.72 (~v90(constB183, bitIndex2)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24637, 24636, 1269])).
% 9.10/6.72 tff(24639,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24640,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24641,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24640, 24639])).
% 9.10/6.72 tff(24642,plain,
% 9.10/6.72 (v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24641, 9653, 1265])).
% 9.10/6.72 tff(24643,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24644,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24645,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex0)) | (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 9.10/6.72 tff(24646,plain,
% 9.10/6.72 (v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24645, 9653, 24534])).
% 9.10/6.72 tff(24647,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24648,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24649,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex0)) | (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24648, 24647])).
% 9.10/6.72 tff(24650,plain,
% 9.10/6.72 (v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24649, 9653, 24542])).
% 9.10/6.72 tff(24651,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24652,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24653,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex0)) | (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24652, 24651])).
% 9.10/6.72 tff(24654,plain,
% 9.10/6.72 (v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24653, 9653, 24550])).
% 9.10/6.72 tff(24655,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b001(bitIndex0)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24656,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b001(bitIndex0)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24657,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB181, bitIndex0) <=> b001(bitIndex0))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 9.10/6.72 tff(24658,plain,
% 9.10/6.72 (v130(constB181, bitIndex0) <=> b001(bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24657, 9653, 24623])).
% 9.10/6.72 tff(24659,plain,
% 9.10/6.72 ((~(v130(constB181, bitIndex0) <=> b001(bitIndex0))) | v130(constB181, bitIndex0) | (~b001(bitIndex0))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24660,plain,
% 9.10/6.72 ((~(v130(constB181, bitIndex0) <=> b001(bitIndex0))) | v130(constB181, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24659, 9889])).
% 9.10/6.72 tff(24661,plain,
% 9.10/6.72 (v130(constB181, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24660, 24658])).
% 9.10/6.72 tff(24662,plain,
% 9.10/6.72 ((~(v127(constB181, bitIndex0) <=> v130(constB181, bitIndex0))) | v127(constB181, bitIndex0) | (~v130(constB181, bitIndex0))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24663,plain,
% 9.10/6.72 (v127(constB181, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24662, 24661, 24654])).
% 9.10/6.72 tff(24664,plain,
% 9.10/6.72 ((~(v129(constB182, bitIndex0) <=> v127(constB181, bitIndex0))) | v129(constB182, bitIndex0) | (~v127(constB181, bitIndex0))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24665,plain,
% 9.10/6.72 (v129(constB182, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24664, 24663, 24650])).
% 9.10/6.72 tff(24666,plain,
% 9.10/6.72 ((~(v90(constB182, bitIndex0) <=> v129(constB182, bitIndex0))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24667,plain,
% 9.10/6.72 (v90(constB182, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24666, 24665, 24646])).
% 9.10/6.72 tff(24668,plain,
% 9.10/6.72 ((~(v90(constB183, bitIndex0) <=> v90(constB182, bitIndex0))) | v90(constB183, bitIndex0) | (~v90(constB182, bitIndex0))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24669,plain,
% 9.10/6.72 (v90(constB183, bitIndex0)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24668, 24667, 24642])).
% 9.10/6.72 tff(24670,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24671,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24672,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB183, B) <=> v90(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24671, 24670])).
% 9.10/6.72 tff(24673,plain,
% 9.10/6.72 (v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24672, 375, 1265])).
% 9.10/6.72 tff(24674,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24675,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | ((~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24676,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v90(constB182, B) <=> v129(constB182, B)))) | (~less_3(bitIndex1)) | (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24675, 24674])).
% 9.10/6.72 tff(24677,plain,
% 9.10/6.72 (v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24676, 375, 24534])).
% 9.10/6.72 tff(24678,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24679,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | ((~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24680,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v129(constB182, B) <=> v127(constB181, B)))) | (~less_3(bitIndex1)) | (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24679, 24678])).
% 9.10/6.72 tff(24681,plain,
% 9.10/6.72 (v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24680, 375, 24542])).
% 9.10/6.72 tff(24682,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24683,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | ((~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24684,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v127(constB181, B) <=> v130(constB181, B)))) | (~less_3(bitIndex1)) | (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24683, 24682])).
% 9.10/6.72 tff(24685,plain,
% 9.10/6.72 (v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24684, 375, 24550])).
% 9.10/6.72 tff(24686,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b001(bitIndex1)))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24687,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b001(bitIndex1)))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24688,plain,
% 9.10/6.72 ((~![B: $i] : ((~less_3(B)) | (v130(constB181, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB181, bitIndex1) <=> b001(bitIndex1))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24687, 24686])).
% 9.10/6.72 tff(24689,plain,
% 9.10/6.72 (v130(constB181, bitIndex1) <=> b001(bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24688, 375, 24623])).
% 9.10/6.72 tff(24690,plain,
% 9.10/6.72 ((~(v130(constB181, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB181, bitIndex1)) | b001(bitIndex1)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24691,plain,
% 9.10/6.72 ((~(v130(constB181, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB181, bitIndex1))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24690, 9923])).
% 9.10/6.72 tff(24692,plain,
% 9.10/6.72 (~v130(constB181, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24691, 24689])).
% 9.10/6.72 tff(24693,plain,
% 9.10/6.72 ((~(v127(constB181, bitIndex1) <=> v130(constB181, bitIndex1))) | (~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24694,plain,
% 9.10/6.72 (~v127(constB181, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24693, 24692, 24685])).
% 9.10/6.72 tff(24695,plain,
% 9.10/6.72 ((~(v129(constB182, bitIndex1) <=> v127(constB181, bitIndex1))) | (~v129(constB182, bitIndex1)) | v127(constB181, bitIndex1)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24696,plain,
% 9.10/6.72 (~v129(constB182, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24695, 24694, 24681])).
% 9.10/6.72 tff(24697,plain,
% 9.10/6.72 ((~(v90(constB182, bitIndex1) <=> v129(constB182, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24698,plain,
% 9.10/6.72 (~v90(constB182, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24697, 24696, 24677])).
% 9.10/6.72 tff(24699,plain,
% 9.10/6.72 ((~(v90(constB183, bitIndex1) <=> v90(constB182, bitIndex1))) | (~v90(constB183, bitIndex1)) | v90(constB182, bitIndex1)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24700,plain,
% 9.10/6.72 (~v90(constB183, bitIndex1)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24699, 24698, 24673])).
% 9.10/6.72 tff(24701,plain,
% 9.10/6.72 ((~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))) | v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24702,plain,
% 9.10/6.72 (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24701, 24700, 24669, 24638])).
% 9.10/6.72 tff(24703,plain,
% 9.10/6.72 ((~(v120(constB183) <=> (~(v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))))) | v120(constB183) | (v90(constB183, bitIndex2) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex0)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24704,plain,
% 9.10/6.72 (v120(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24703, 24702, 1237])).
% 9.10/6.72 tff(24705,plain,
% 9.10/6.72 ((v119(constB183) | v120(constB183)) | (~v120(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24706,plain,
% 9.10/6.72 (v119(constB183) | v120(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24705, 24704])).
% 9.10/6.72 tff(24707,plain,
% 9.10/6.72 ((~(v118(constB183) <=> (v119(constB183) | v120(constB183)))) | v118(constB183) | (~(v119(constB183) | v120(constB183)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24708,plain,
% 9.10/6.72 (v118(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24707, 24706, 1230])).
% 9.10/6.72 tff(24709,plain,
% 9.10/6.72 ((v118(constB183) | v121(constB183)) | (~v118(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24710,plain,
% 9.10/6.72 (v118(constB183) | v121(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24709, 24708])).
% 9.10/6.72 tff(24711,plain,
% 9.10/6.72 ((~(v117(constB183) <=> (v118(constB183) | v121(constB183)))) | v117(constB183) | (~(v118(constB183) | v121(constB183)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24712,plain,
% 9.10/6.72 (v117(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24711, 24710, 1228])).
% 9.10/6.72 tff(24713,plain,
% 9.10/6.72 ((v117(constB183) | v122(constB183)) | (~v117(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24714,plain,
% 9.10/6.72 (v117(constB183) | v122(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24713, 24712])).
% 9.10/6.72 tff(24715,plain,
% 9.10/6.72 ((~(v116(constB183) <=> (v117(constB183) | v122(constB183)))) | v116(constB183) | (~(v117(constB183) | v122(constB183)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24716,plain,
% 9.10/6.72 (v116(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24715, 24714, 1226])).
% 9.10/6.72 tff(24717,plain,
% 9.10/6.72 ((v116(constB183) | v123(constB183)) | (~v116(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24718,plain,
% 9.10/6.72 (v116(constB183) | v123(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24717, 24716])).
% 9.10/6.72 tff(24719,plain,
% 9.10/6.72 ((~(v115(constB183) <=> (v116(constB183) | v123(constB183)))) | v115(constB183) | (~(v116(constB183) | v123(constB183)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24720,plain,
% 9.10/6.72 (v115(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24719, 24718, 1224])).
% 9.10/6.72 tff(24721,plain,
% 9.10/6.72 ((v115(constB183) | v124(constB183)) | (~v115(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24722,plain,
% 9.10/6.72 (v115(constB183) | v124(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24721, 24720])).
% 9.10/6.72 tff(24723,plain,
% 9.10/6.72 ((~(v114(constB183) <=> (v115(constB183) | v124(constB183)))) | v114(constB183) | (~(v115(constB183) | v124(constB183)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24724,plain,
% 9.10/6.72 (v114(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24723, 24722, 1222])).
% 9.10/6.72 tff(24725,plain,
% 9.10/6.72 ((v114(constB183) | v125(constB183)) | (~v114(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24726,plain,
% 9.10/6.72 (v114(constB183) | v125(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24725, 24724])).
% 9.10/6.72 tff(24727,plain,
% 9.10/6.72 ((~(v113(constB183) <=> (v114(constB183) | v125(constB183)))) | v113(constB183) | (~(v114(constB183) | v125(constB183)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24728,plain,
% 9.10/6.72 (v113(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24727, 24726, 1220])).
% 9.10/6.72 tff(24729,plain,
% 9.10/6.72 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB183)) <=> v111(constB183))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24730,plain,
% 9.10/6.72 ((~v126(constB183)) <=> v111(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24729, 9720])).
% 9.10/6.72 tff(24731,plain,
% 9.10/6.72 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB183) <=> v26(constB183))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24732,plain,
% 9.10/6.72 (v111(constB183) <=> v26(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24731, 9732])).
% 9.10/6.72 tff(24733,plain,
% 9.10/6.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24734,plain,
% 9.10/6.72 (~v26(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24733, 9744])).
% 9.10/6.72 tff(24735,plain,
% 9.10/6.72 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183)) | v26(constB183)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24736,plain,
% 9.10/6.72 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24735, 24734])).
% 9.10/6.72 tff(24737,plain,
% 9.10/6.72 (~v111(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24736, 24732])).
% 9.10/6.72 tff(24738,plain,
% 9.10/6.72 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183) | v111(constB183)),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24739,plain,
% 9.10/6.72 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24738, 24737])).
% 9.10/6.72 tff(24740,plain,
% 9.10/6.72 (v126(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24739, 24730])).
% 9.10/6.72 tff(24741,plain,
% 9.10/6.72 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183)) | (~v126(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24742,plain,
% 9.10/6.72 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24741, 24740])).
% 9.10/6.72 tff(24743,plain,
% 9.10/6.72 (~((~v113(constB183)) | (~v126(constB183)))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24742, 24728])).
% 9.10/6.72 tff(24744,plain,
% 9.10/6.72 ((~(v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))) | v112(constB183) | ((~v113(constB183)) | (~v126(constB183)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24745,plain,
% 9.10/6.72 (v112(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24744, 24743, 1218])).
% 9.10/6.72 tff(24746,plain,
% 9.10/6.72 ((v111(constB183) | v112(constB183)) | (~v112(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24747,plain,
% 9.10/6.72 (v111(constB183) | v112(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24746, 24745])).
% 9.10/6.72 tff(24748,plain,
% 9.10/6.72 ((~(v108(constB183) <=> (v111(constB183) | v112(constB183)))) | v108(constB183) | (~(v111(constB183) | v112(constB183)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24749,plain,
% 9.10/6.72 (v108(constB183)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24748, 24747, 1216])).
% 9.10/6.72 tff(24750,plain,
% 9.10/6.72 ((~(v110(constB184) <=> v108(constB183))) | v110(constB184) | (~v108(constB183))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24751,plain,
% 9.10/6.72 (v110(constB184)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24750, 24749, 1214])).
% 9.10/6.72 tff(24752,plain,
% 9.10/6.72 ((~((~v101(constB184)) | (~v110(constB184)))) | (~v101(constB184)) | (~v110(constB184))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24753,plain,
% 9.10/6.72 (~((~v101(constB184)) | (~v110(constB184)))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24752, 24751, 1210])).
% 9.10/6.72 tff(24754,plain,
% 9.10/6.72 ((~(v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))) | v100(constB184) | ((~v101(constB184)) | (~v110(constB184)))),
% 9.10/6.72 inference(tautology,[status(thm)],[])).
% 9.10/6.72 tff(24755,plain,
% 9.10/6.72 (v100(constB184)),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24754, 24753, 1179])).
% 9.10/6.72 tff(24756,plain,
% 9.10/6.72 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B))))),
% 9.10/6.72 inference(rewrite,[status(thm)],[])).
% 9.10/6.72 tff(24757,plain,
% 9.10/6.72 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B))))),
% 9.10/6.72 inference(quant_inst,[status(thm)],[])).
% 9.10/6.72 tff(24758,plain,
% 9.10/6.72 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))),
% 9.10/6.72 inference(modus_ponens,[status(thm)],[24757, 24756])).
% 9.10/6.72 tff(24759,plain,
% 9.10/6.72 ((~v100(constB184)) | ![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24758, 9780])).
% 9.10/6.72 tff(24760,plain,
% 9.10/6.72 (![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))),
% 9.10/6.72 inference(unit_resolution,[status(thm)],[24759, 24755])).
% 9.10/6.72 tff(24761,plain,
% 9.10/6.72 (((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24762,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24763,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex2)) | (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24762, 24761])).
% 9.10/6.73 tff(24764,plain,
% 9.10/6.73 (v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24763, 648, 24760])).
% 9.10/6.73 tff(24765,plain,
% 9.10/6.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B))))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24766,plain,
% 9.10/6.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B))))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24767,plain,
% 9.10/6.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24766, 24765])).
% 9.10/6.73 tff(24768,plain,
% 9.10/6.73 (![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24767, 1175, 9802])).
% 9.10/6.73 tff(24769,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24770,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24771,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex2)) | (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24770, 24769])).
% 9.10/6.73 tff(24772,plain,
% 9.10/6.73 (v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24771, 648, 24768])).
% 9.10/6.73 tff(24773,plain,
% 9.10/6.73 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB183) | ![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB183) | ![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B))))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24774,plain,
% 9.10/6.73 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB183) | ![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B))))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24775,plain,
% 9.10/6.73 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB183) | ![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24774, 24773])).
% 9.10/6.73 tff(24776,plain,
% 9.10/6.73 (![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24775, 9823, 24737])).
% 9.10/6.73 tff(24777,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24778,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24779,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex2)) | (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 9.10/6.73 tff(24780,plain,
% 9.10/6.73 (v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24779, 648, 24776])).
% 9.10/6.73 tff(24781,plain,
% 9.10/6.73 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B))))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24782,plain,
% 9.10/6.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B))))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24783,plain,
% 9.10/6.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 9.10/6.73 tff(24784,plain,
% 9.10/6.73 ((~v120(constB183)) | ![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24783, 10027])).
% 9.10/6.73 tff(24785,plain,
% 9.10/6.73 (![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24784, 24704])).
% 9.10/6.73 tff(24786,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b010(bitIndex2)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24787,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b010(bitIndex2)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24788,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB183, bitIndex2) <=> b010(bitIndex2))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24787, 24786])).
% 9.10/6.73 tff(24789,plain,
% 9.10/6.73 (v130(constB183, bitIndex2) <=> b010(bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24788, 648, 24785])).
% 9.10/6.73 tff(24790,plain,
% 9.10/6.73 ((~(v130(constB183, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB183, bitIndex2)) | b010(bitIndex2)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24791,plain,
% 9.10/6.73 ((~(v130(constB183, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB183, bitIndex2))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24790, 10039])).
% 9.10/6.73 tff(24792,plain,
% 9.10/6.73 (~v130(constB183, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24791, 24789])).
% 9.10/6.73 tff(24793,plain,
% 9.10/6.73 ((~(v127(constB183, bitIndex2) <=> v130(constB183, bitIndex2))) | (~v127(constB183, bitIndex2)) | v130(constB183, bitIndex2)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24794,plain,
% 9.10/6.73 (~v127(constB183, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24793, 24792, 24780])).
% 9.10/6.73 tff(24795,plain,
% 9.10/6.73 ((~(v129(constB184, bitIndex2) <=> v127(constB183, bitIndex2))) | (~v129(constB184, bitIndex2)) | v127(constB183, bitIndex2)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24796,plain,
% 9.10/6.73 (~v129(constB184, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24795, 24794, 24772])).
% 9.10/6.73 tff(24797,plain,
% 9.10/6.73 ((~(v90(constB184, bitIndex2) <=> v129(constB184, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24798,plain,
% 9.10/6.73 (~v90(constB184, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24797, 24796, 24764])).
% 9.10/6.73 tff(24799,plain,
% 9.10/6.73 ((~(v90(constB185, bitIndex2) <=> v90(constB184, bitIndex2))) | (~v90(constB185, bitIndex2)) | v90(constB184, bitIndex2)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24800,plain,
% 9.10/6.73 (~v90(constB185, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24799, 24798, 1172])).
% 9.10/6.73 tff(24801,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24802,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24803,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24802, 24801])).
% 9.10/6.73 tff(24804,plain,
% 9.10/6.73 (v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24803, 9653, 1168])).
% 9.10/6.73 tff(24805,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24806,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24807,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex0)) | (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24806, 24805])).
% 9.10/6.73 tff(24808,plain,
% 9.10/6.73 (v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24807, 9653, 24760])).
% 9.10/6.73 tff(24809,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24810,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24811,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex0)) | (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24810, 24809])).
% 9.10/6.73 tff(24812,plain,
% 9.10/6.73 (v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24811, 9653, 24768])).
% 9.10/6.73 tff(24813,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24814,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24815,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex0)) | (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24814, 24813])).
% 9.10/6.73 tff(24816,plain,
% 9.10/6.73 (v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24815, 9653, 24776])).
% 9.10/6.73 tff(24817,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b010(bitIndex0)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24818,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b010(bitIndex0)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24819,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB183, bitIndex0) <=> b010(bitIndex0))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24818, 24817])).
% 9.10/6.73 tff(24820,plain,
% 9.10/6.73 (v130(constB183, bitIndex0) <=> b010(bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24819, 9653, 24785])).
% 9.10/6.73 tff(24821,plain,
% 9.10/6.73 ((~(v130(constB183, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB183, bitIndex0)) | b010(bitIndex0)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24822,plain,
% 9.10/6.73 ((~(v130(constB183, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB183, bitIndex0))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24821, 10073])).
% 9.10/6.73 tff(24823,plain,
% 9.10/6.73 (~v130(constB183, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24822, 24820])).
% 9.10/6.73 tff(24824,plain,
% 9.10/6.73 ((~(v127(constB183, bitIndex0) <=> v130(constB183, bitIndex0))) | (~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24825,plain,
% 9.10/6.73 (~v127(constB183, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24824, 24823, 24816])).
% 9.10/6.73 tff(24826,plain,
% 9.10/6.73 ((~(v129(constB184, bitIndex0) <=> v127(constB183, bitIndex0))) | (~v129(constB184, bitIndex0)) | v127(constB183, bitIndex0)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24827,plain,
% 9.10/6.73 (~v129(constB184, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24826, 24825, 24812])).
% 9.10/6.73 tff(24828,plain,
% 9.10/6.73 ((~(v90(constB184, bitIndex0) <=> v129(constB184, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24829,plain,
% 9.10/6.73 (~v90(constB184, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24828, 24827, 24808])).
% 9.10/6.73 tff(24830,plain,
% 9.10/6.73 ((~(v90(constB185, bitIndex0) <=> v90(constB184, bitIndex0))) | (~v90(constB185, bitIndex0)) | v90(constB184, bitIndex0)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24831,plain,
% 9.10/6.73 (~v90(constB185, bitIndex0)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24830, 24829, 24804])).
% 9.10/6.73 tff(24832,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24833,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24834,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB185, B) <=> v90(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24833, 24832])).
% 9.10/6.73 tff(24835,plain,
% 9.10/6.73 (v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24834, 375, 1168])).
% 9.10/6.73 tff(24836,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24837,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | ((~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24838,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB184, B) <=> v129(constB184, B)))) | (~less_3(bitIndex1)) | (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24837, 24836])).
% 9.10/6.73 tff(24839,plain,
% 9.10/6.73 (v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24838, 375, 24760])).
% 9.10/6.73 tff(24840,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24841,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | ((~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24842,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v129(constB184, B) <=> v127(constB183, B)))) | (~less_3(bitIndex1)) | (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24841, 24840])).
% 9.10/6.73 tff(24843,plain,
% 9.10/6.73 (v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24842, 375, 24768])).
% 9.10/6.73 tff(24844,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24845,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | ((~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24846,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v127(constB183, B) <=> v130(constB183, B)))) | (~less_3(bitIndex1)) | (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 9.10/6.73 tff(24847,plain,
% 9.10/6.73 (v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24846, 375, 24776])).
% 9.10/6.73 tff(24848,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b010(bitIndex1)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24849,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b010(bitIndex1)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24850,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v130(constB183, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB183, bitIndex1) <=> b010(bitIndex1))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24849, 24848])).
% 9.10/6.73 tff(24851,plain,
% 9.10/6.73 (v130(constB183, bitIndex1) <=> b010(bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24850, 375, 24785])).
% 9.10/6.73 tff(24852,plain,
% 9.10/6.73 ((~(v130(constB183, bitIndex1) <=> b010(bitIndex1))) | v130(constB183, bitIndex1) | (~b010(bitIndex1))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24853,plain,
% 9.10/6.73 ((~(v130(constB183, bitIndex1) <=> b010(bitIndex1))) | v130(constB183, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24852, 10107])).
% 9.10/6.73 tff(24854,plain,
% 9.10/6.73 (v130(constB183, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24853, 24851])).
% 9.10/6.73 tff(24855,plain,
% 9.10/6.73 ((~(v127(constB183, bitIndex1) <=> v130(constB183, bitIndex1))) | v127(constB183, bitIndex1) | (~v130(constB183, bitIndex1))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24856,plain,
% 9.10/6.73 (v127(constB183, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24855, 24854, 24847])).
% 9.10/6.73 tff(24857,plain,
% 9.10/6.73 ((~(v129(constB184, bitIndex1) <=> v127(constB183, bitIndex1))) | v129(constB184, bitIndex1) | (~v127(constB183, bitIndex1))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24858,plain,
% 9.10/6.73 (v129(constB184, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24857, 24856, 24843])).
% 9.10/6.73 tff(24859,plain,
% 9.10/6.73 ((~(v90(constB184, bitIndex1) <=> v129(constB184, bitIndex1))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24860,plain,
% 9.10/6.73 (v90(constB184, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24859, 24858, 24839])).
% 9.10/6.73 tff(24861,plain,
% 9.10/6.73 ((~(v90(constB185, bitIndex1) <=> v90(constB184, bitIndex1))) | v90(constB185, bitIndex1) | (~v90(constB184, bitIndex1))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24862,plain,
% 9.10/6.73 (v90(constB185, bitIndex1)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24861, 24860, 24835])).
% 9.10/6.73 tff(24863,plain,
% 9.10/6.73 ((~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24864,plain,
% 9.10/6.73 (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24863, 24862, 24831, 24800])).
% 9.10/6.73 tff(24865,plain,
% 9.10/6.73 ((~(v121(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))))) | v121(constB185) | (v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex0))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24866,plain,
% 9.10/6.73 (v121(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24865, 24864, 1140])).
% 9.10/6.73 tff(24867,plain,
% 9.10/6.73 ((v118(constB185) | v121(constB185)) | (~v121(constB185))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24868,plain,
% 9.10/6.73 (v118(constB185) | v121(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24867, 24866])).
% 9.10/6.73 tff(24869,plain,
% 9.10/6.73 ((~(v117(constB185) <=> (v118(constB185) | v121(constB185)))) | v117(constB185) | (~(v118(constB185) | v121(constB185)))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24870,plain,
% 9.10/6.73 (v117(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24869, 24868, 1120])).
% 9.10/6.73 tff(24871,plain,
% 9.10/6.73 ((v117(constB185) | v122(constB185)) | (~v117(constB185))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24872,plain,
% 9.10/6.73 (v117(constB185) | v122(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24871, 24870])).
% 9.10/6.73 tff(24873,plain,
% 9.10/6.73 ((~(v116(constB185) <=> (v117(constB185) | v122(constB185)))) | v116(constB185) | (~(v117(constB185) | v122(constB185)))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24874,plain,
% 9.10/6.73 (v116(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24873, 24872, 1118])).
% 9.10/6.73 tff(24875,plain,
% 9.10/6.73 ((v116(constB185) | v123(constB185)) | (~v116(constB185))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24876,plain,
% 9.10/6.73 (v116(constB185) | v123(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24875, 24874])).
% 9.10/6.73 tff(24877,plain,
% 9.10/6.73 ((~(v115(constB185) <=> (v116(constB185) | v123(constB185)))) | v115(constB185) | (~(v116(constB185) | v123(constB185)))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24878,plain,
% 9.10/6.73 (v115(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24877, 24876, 1116])).
% 9.10/6.73 tff(24879,plain,
% 9.10/6.73 ((v115(constB185) | v124(constB185)) | (~v115(constB185))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24880,plain,
% 9.10/6.73 (v115(constB185) | v124(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24879, 24878])).
% 9.10/6.73 tff(24881,plain,
% 9.10/6.73 ((~(v114(constB185) <=> (v115(constB185) | v124(constB185)))) | v114(constB185) | (~(v115(constB185) | v124(constB185)))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24882,plain,
% 9.10/6.73 (v114(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24881, 24880, 1114])).
% 9.10/6.73 tff(24883,plain,
% 9.10/6.73 ((v114(constB185) | v125(constB185)) | (~v114(constB185))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24884,plain,
% 9.10/6.73 (v114(constB185) | v125(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24883, 24882])).
% 9.10/6.73 tff(24885,plain,
% 9.10/6.73 ((~(v113(constB185) <=> (v114(constB185) | v125(constB185)))) | v113(constB185) | (~(v114(constB185) | v125(constB185)))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24886,plain,
% 9.10/6.73 (v113(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24885, 24884, 1112])).
% 9.10/6.73 tff(24887,plain,
% 9.10/6.73 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB185)) <=> v111(constB185))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24888,plain,
% 9.10/6.73 ((~v126(constB185)) <=> v111(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24887, 9720])).
% 9.10/6.73 tff(24889,plain,
% 9.10/6.73 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB185) <=> v26(constB185))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24890,plain,
% 9.10/6.73 (v111(constB185) <=> v26(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24889, 9732])).
% 9.10/6.73 tff(24891,plain,
% 9.10/6.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24892,plain,
% 9.10/6.73 (~v26(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24891, 9744])).
% 9.10/6.73 tff(24893,plain,
% 9.10/6.73 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185)) | v26(constB185)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24894,plain,
% 9.10/6.73 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24893, 24892])).
% 9.10/6.73 tff(24895,plain,
% 9.10/6.73 (~v111(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24894, 24890])).
% 9.10/6.73 tff(24896,plain,
% 9.10/6.73 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185) | v111(constB185)),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24897,plain,
% 9.10/6.73 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24896, 24895])).
% 9.10/6.73 tff(24898,plain,
% 9.10/6.73 (v126(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24897, 24888])).
% 9.10/6.73 tff(24899,plain,
% 9.10/6.73 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185)) | (~v126(constB185))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24900,plain,
% 9.10/6.73 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24899, 24898])).
% 9.10/6.73 tff(24901,plain,
% 9.10/6.73 (~((~v113(constB185)) | (~v126(constB185)))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24900, 24886])).
% 9.10/6.73 tff(24902,plain,
% 9.10/6.73 ((~(v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))) | v112(constB185) | ((~v113(constB185)) | (~v126(constB185)))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24903,plain,
% 9.10/6.73 (v112(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24902, 24901, 1110])).
% 9.10/6.73 tff(24904,plain,
% 9.10/6.73 ((v111(constB185) | v112(constB185)) | (~v112(constB185))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24905,plain,
% 9.10/6.73 (v111(constB185) | v112(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24904, 24903])).
% 9.10/6.73 tff(24906,plain,
% 9.10/6.73 ((~(v108(constB185) <=> (v111(constB185) | v112(constB185)))) | v108(constB185) | (~(v111(constB185) | v112(constB185)))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24907,plain,
% 9.10/6.73 (v108(constB185)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24906, 24905, 1108])).
% 9.10/6.73 tff(24908,plain,
% 9.10/6.73 ((~(v110(constB186) <=> v108(constB185))) | v110(constB186) | (~v108(constB185))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24909,plain,
% 9.10/6.73 (v110(constB186)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24908, 24907, 1106])).
% 9.10/6.73 tff(24910,plain,
% 9.10/6.73 ((~((~v101(constB186)) | (~v110(constB186)))) | (~v101(constB186)) | (~v110(constB186))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24911,plain,
% 9.10/6.73 (~((~v101(constB186)) | (~v110(constB186)))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24910, 24909, 1102])).
% 9.10/6.73 tff(24912,plain,
% 9.10/6.73 ((~(v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))) | v100(constB186) | ((~v101(constB186)) | (~v110(constB186)))),
% 9.10/6.73 inference(tautology,[status(thm)],[])).
% 9.10/6.73 tff(24913,plain,
% 9.10/6.73 (v100(constB186)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24912, 24911, 1071])).
% 9.10/6.73 tff(24914,plain,
% 9.10/6.73 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B))))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24915,plain,
% 9.10/6.73 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B))))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24916,plain,
% 9.10/6.73 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24915, 24914])).
% 9.10/6.73 tff(24917,plain,
% 9.10/6.73 ((~v100(constB186)) | ![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24916, 9780])).
% 9.10/6.73 tff(24918,plain,
% 9.10/6.73 (![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24917, 24913])).
% 9.10/6.73 tff(24919,plain,
% 9.10/6.73 (((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)))),
% 9.10/6.73 inference(rewrite,[status(thm)],[])).
% 9.10/6.73 tff(24920,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)))),
% 9.10/6.73 inference(quant_inst,[status(thm)],[])).
% 9.10/6.73 tff(24921,plain,
% 9.10/6.73 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex2)) | (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2))),
% 9.10/6.73 inference(modus_ponens,[status(thm)],[24920, 24919])).
% 9.10/6.73 tff(24922,plain,
% 9.10/6.73 (v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2)),
% 9.10/6.73 inference(unit_resolution,[status(thm)],[24921, 648, 24918])).
% 9.10/6.73 tff(24923,plain,
% 9.10/6.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B))))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24924,plain,
% 9.10/6.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B))))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24925,plain,
% 9.10/6.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24924, 24923])).
% 9.10/6.74 tff(24926,plain,
% 9.10/6.74 (![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24925, 1067, 9802])).
% 9.10/6.74 tff(24927,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24928,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24929,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex2)) | (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24928, 24927])).
% 9.10/6.74 tff(24930,plain,
% 9.10/6.74 (v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24929, 648, 24926])).
% 9.10/6.74 tff(24931,plain,
% 9.10/6.74 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB185) | ![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB185) | ![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B))))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24932,plain,
% 9.10/6.74 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB185) | ![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B))))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24933,plain,
% 9.10/6.74 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB185) | ![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24932, 24931])).
% 9.10/6.74 tff(24934,plain,
% 9.10/6.74 (![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24933, 9823, 24895])).
% 9.10/6.74 tff(24935,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24936,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24937,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex2)) | (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24936, 24935])).
% 9.10/6.74 tff(24938,plain,
% 9.10/6.74 (v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24937, 648, 24934])).
% 9.10/6.74 tff(24939,plain,
% 9.10/6.74 (((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB185)) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB185)) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B))))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24940,plain,
% 9.10/6.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | ((~v121(constB185)) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B))))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24941,plain,
% 9.10/6.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b011(B))))) | (~v121(constB185)) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24940, 24939])).
% 9.10/6.74 tff(24942,plain,
% 9.10/6.74 ((~v121(constB185)) | ![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24941, 10207])).
% 9.10/6.74 tff(24943,plain,
% 9.10/6.74 (![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24942, 24866])).
% 9.10/6.74 tff(24944,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b011(bitIndex2)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24945,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b011(bitIndex2)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24946,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v130(constB185, bitIndex2) <=> b011(bitIndex2))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24945, 24944])).
% 9.10/6.74 tff(24947,plain,
% 9.10/6.74 (v130(constB185, bitIndex2) <=> b011(bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24946, 648, 24943])).
% 9.10/6.74 tff(24948,plain,
% 9.10/6.74 ((~(v130(constB185, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB185, bitIndex2)) | b011(bitIndex2)),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24949,plain,
% 9.10/6.74 ((~(v130(constB185, bitIndex2) <=> b011(bitIndex2))) | (~v130(constB185, bitIndex2))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24948, 10219])).
% 9.10/6.74 tff(24950,plain,
% 9.10/6.74 (~v130(constB185, bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24949, 24947])).
% 9.10/6.74 tff(24951,plain,
% 9.10/6.74 ((~(v127(constB185, bitIndex2) <=> v130(constB185, bitIndex2))) | (~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24952,plain,
% 9.10/6.74 (~v127(constB185, bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24951, 24950, 24938])).
% 9.10/6.74 tff(24953,plain,
% 9.10/6.74 ((~(v129(constB186, bitIndex2) <=> v127(constB185, bitIndex2))) | (~v129(constB186, bitIndex2)) | v127(constB185, bitIndex2)),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24954,plain,
% 9.10/6.74 (~v129(constB186, bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24953, 24952, 24930])).
% 9.10/6.74 tff(24955,plain,
% 9.10/6.74 ((~(v90(constB186, bitIndex2) <=> v129(constB186, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2)),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24956,plain,
% 9.10/6.74 (~v90(constB186, bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24955, 24954, 24922])).
% 9.10/6.74 tff(24957,plain,
% 9.10/6.74 ((~(v90(constB187, bitIndex2) <=> v90(constB186, bitIndex2))) | (~v90(constB187, bitIndex2)) | v90(constB186, bitIndex2)),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24958,plain,
% 9.10/6.74 (~v90(constB187, bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24957, 24956, 1064])).
% 9.10/6.74 tff(24959,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24960,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24961,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24960, 24959])).
% 9.10/6.74 tff(24962,plain,
% 9.10/6.74 (v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24961, 9653, 1060])).
% 9.10/6.74 tff(24963,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24964,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24965,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex0)) | (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24964, 24963])).
% 9.10/6.74 tff(24966,plain,
% 9.10/6.74 (v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24965, 9653, 24918])).
% 9.10/6.74 tff(24967,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24968,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24969,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex0)) | (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24968, 24967])).
% 9.10/6.74 tff(24970,plain,
% 9.10/6.74 (v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24969, 9653, 24926])).
% 9.10/6.74 tff(24971,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24972,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24973,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex0)) | (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24972, 24971])).
% 9.10/6.74 tff(24974,plain,
% 9.10/6.74 (v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24973, 9653, 24934])).
% 9.10/6.74 tff(24975,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b011(bitIndex0)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24976,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b011(bitIndex0)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24977,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v130(constB185, bitIndex0) <=> b011(bitIndex0))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24976, 24975])).
% 9.10/6.74 tff(24978,plain,
% 9.10/6.74 (v130(constB185, bitIndex0) <=> b011(bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24977, 9653, 24943])).
% 9.10/6.74 tff(24979,plain,
% 9.10/6.74 ((~(v130(constB185, bitIndex0) <=> b011(bitIndex0))) | v130(constB185, bitIndex0) | (~b011(bitIndex0))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24980,plain,
% 9.10/6.74 ((~(v130(constB185, bitIndex0) <=> b011(bitIndex0))) | v130(constB185, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24979, 10253])).
% 9.10/6.74 tff(24981,plain,
% 9.10/6.74 (v130(constB185, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24980, 24978])).
% 9.10/6.74 tff(24982,plain,
% 9.10/6.74 ((~(v127(constB185, bitIndex0) <=> v130(constB185, bitIndex0))) | v127(constB185, bitIndex0) | (~v130(constB185, bitIndex0))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24983,plain,
% 9.10/6.74 (v127(constB185, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24982, 24981, 24974])).
% 9.10/6.74 tff(24984,plain,
% 9.10/6.74 ((~(v129(constB186, bitIndex0) <=> v127(constB185, bitIndex0))) | v129(constB186, bitIndex0) | (~v127(constB185, bitIndex0))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24985,plain,
% 9.10/6.74 (v129(constB186, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24984, 24983, 24970])).
% 9.10/6.74 tff(24986,plain,
% 9.10/6.74 ((~(v90(constB186, bitIndex0) <=> v129(constB186, bitIndex0))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24987,plain,
% 9.10/6.74 (v90(constB186, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24986, 24985, 24966])).
% 9.10/6.74 tff(24988,plain,
% 9.10/6.74 ((~(v90(constB187, bitIndex0) <=> v90(constB186, bitIndex0))) | v90(constB187, bitIndex0) | (~v90(constB186, bitIndex0))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(24989,plain,
% 9.10/6.74 (v90(constB187, bitIndex0)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24988, 24987, 24962])).
% 9.10/6.74 tff(24990,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24991,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24992,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB187, B) <=> v90(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24991, 24990])).
% 9.10/6.74 tff(24993,plain,
% 9.10/6.74 (v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24992, 375, 1060])).
% 9.10/6.74 tff(24994,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24995,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | ((~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(24996,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB186, B) <=> v129(constB186, B)))) | (~less_3(bitIndex1)) | (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24995, 24994])).
% 9.10/6.74 tff(24997,plain,
% 9.10/6.74 (v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[24996, 375, 24918])).
% 9.10/6.74 tff(24998,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(24999,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | ((~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25000,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB186, B) <=> v127(constB185, B)))) | (~less_3(bitIndex1)) | (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[24999, 24998])).
% 9.10/6.74 tff(25001,plain,
% 9.10/6.74 (v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25000, 375, 24926])).
% 9.10/6.74 tff(25002,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(25003,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | ((~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25004,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v127(constB185, B) <=> v130(constB185, B)))) | (~less_3(bitIndex1)) | (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[25003, 25002])).
% 9.10/6.74 tff(25005,plain,
% 9.10/6.74 (v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25004, 375, 24934])).
% 9.10/6.74 tff(25006,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b011(bitIndex1)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(25007,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b011(bitIndex1)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25008,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v130(constB185, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v130(constB185, bitIndex1) <=> b011(bitIndex1))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[25007, 25006])).
% 9.10/6.74 tff(25009,plain,
% 9.10/6.74 (v130(constB185, bitIndex1) <=> b011(bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25008, 375, 24943])).
% 9.10/6.74 tff(25010,plain,
% 9.10/6.74 ((~(v130(constB185, bitIndex1) <=> b011(bitIndex1))) | v130(constB185, bitIndex1) | (~b011(bitIndex1))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25011,plain,
% 9.10/6.74 ((~(v130(constB185, bitIndex1) <=> b011(bitIndex1))) | v130(constB185, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25010, 10287])).
% 9.10/6.74 tff(25012,plain,
% 9.10/6.74 (v130(constB185, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25011, 25009])).
% 9.10/6.74 tff(25013,plain,
% 9.10/6.74 ((~(v127(constB185, bitIndex1) <=> v130(constB185, bitIndex1))) | v127(constB185, bitIndex1) | (~v130(constB185, bitIndex1))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25014,plain,
% 9.10/6.74 (v127(constB185, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25013, 25012, 25005])).
% 9.10/6.74 tff(25015,plain,
% 9.10/6.74 ((~(v129(constB186, bitIndex1) <=> v127(constB185, bitIndex1))) | v129(constB186, bitIndex1) | (~v127(constB185, bitIndex1))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25016,plain,
% 9.10/6.74 (v129(constB186, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25015, 25014, 25001])).
% 9.10/6.74 tff(25017,plain,
% 9.10/6.74 ((~(v90(constB186, bitIndex1) <=> v129(constB186, bitIndex1))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25018,plain,
% 9.10/6.74 (v90(constB186, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25017, 25016, 24997])).
% 9.10/6.74 tff(25019,plain,
% 9.10/6.74 ((~(v90(constB187, bitIndex1) <=> v90(constB186, bitIndex1))) | v90(constB187, bitIndex1) | (~v90(constB186, bitIndex1))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25020,plain,
% 9.10/6.74 (v90(constB187, bitIndex1)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25019, 25018, 24993])).
% 9.10/6.74 tff(25021,plain,
% 9.10/6.74 ((~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25022,plain,
% 9.10/6.74 (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25021, 25020, 24989, 24958])).
% 9.10/6.74 tff(25023,plain,
% 9.10/6.74 ((~(v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))) | v122(constB187) | (v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25024,plain,
% 9.10/6.74 (v122(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25023, 25022, 1032])).
% 9.10/6.74 tff(25025,plain,
% 9.10/6.74 ((v117(constB187) | v122(constB187)) | (~v122(constB187))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25026,plain,
% 9.10/6.74 (v117(constB187) | v122(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25025, 25024])).
% 9.10/6.74 tff(25027,plain,
% 9.10/6.74 ((~(v116(constB187) <=> (v117(constB187) | v122(constB187)))) | v116(constB187) | (~(v117(constB187) | v122(constB187)))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25028,plain,
% 9.10/6.74 (v116(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25027, 25026, 1012])).
% 9.10/6.74 tff(25029,plain,
% 9.10/6.74 ((v116(constB187) | v123(constB187)) | (~v116(constB187))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25030,plain,
% 9.10/6.74 (v116(constB187) | v123(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25029, 25028])).
% 9.10/6.74 tff(25031,plain,
% 9.10/6.74 ((~(v115(constB187) <=> (v116(constB187) | v123(constB187)))) | v115(constB187) | (~(v116(constB187) | v123(constB187)))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25032,plain,
% 9.10/6.74 (v115(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25031, 25030, 1010])).
% 9.10/6.74 tff(25033,plain,
% 9.10/6.74 ((v115(constB187) | v124(constB187)) | (~v115(constB187))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25034,plain,
% 9.10/6.74 (v115(constB187) | v124(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25033, 25032])).
% 9.10/6.74 tff(25035,plain,
% 9.10/6.74 ((~(v114(constB187) <=> (v115(constB187) | v124(constB187)))) | v114(constB187) | (~(v115(constB187) | v124(constB187)))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25036,plain,
% 9.10/6.74 (v114(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25035, 25034, 1008])).
% 9.10/6.74 tff(25037,plain,
% 9.10/6.74 ((v114(constB187) | v125(constB187)) | (~v114(constB187))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25038,plain,
% 9.10/6.74 (v114(constB187) | v125(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25037, 25036])).
% 9.10/6.74 tff(25039,plain,
% 9.10/6.74 ((~(v113(constB187) <=> (v114(constB187) | v125(constB187)))) | v113(constB187) | (~(v114(constB187) | v125(constB187)))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25040,plain,
% 9.10/6.74 (v113(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25039, 25038, 1006])).
% 9.10/6.74 tff(25041,plain,
% 9.10/6.74 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB187)) <=> v111(constB187))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25042,plain,
% 9.10/6.74 ((~v126(constB187)) <=> v111(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25041, 9720])).
% 9.10/6.74 tff(25043,plain,
% 9.10/6.74 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB187) <=> v26(constB187))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25044,plain,
% 9.10/6.74 (v111(constB187) <=> v26(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25043, 9732])).
% 9.10/6.74 tff(25045,plain,
% 9.10/6.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25046,plain,
% 9.10/6.74 (~v26(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25045, 9744])).
% 9.10/6.74 tff(25047,plain,
% 9.10/6.74 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187)) | v26(constB187)),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25048,plain,
% 9.10/6.74 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25047, 25046])).
% 9.10/6.74 tff(25049,plain,
% 9.10/6.74 (~v111(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25048, 25044])).
% 9.10/6.74 tff(25050,plain,
% 9.10/6.74 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187) | v111(constB187)),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25051,plain,
% 9.10/6.74 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25050, 25049])).
% 9.10/6.74 tff(25052,plain,
% 9.10/6.74 (v126(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25051, 25042])).
% 9.10/6.74 tff(25053,plain,
% 9.10/6.74 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187)) | (~v126(constB187))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25054,plain,
% 9.10/6.74 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25053, 25052])).
% 9.10/6.74 tff(25055,plain,
% 9.10/6.74 (~((~v113(constB187)) | (~v126(constB187)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25054, 25040])).
% 9.10/6.74 tff(25056,plain,
% 9.10/6.74 ((~(v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))) | v112(constB187) | ((~v113(constB187)) | (~v126(constB187)))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25057,plain,
% 9.10/6.74 (v112(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25056, 25055, 1004])).
% 9.10/6.74 tff(25058,plain,
% 9.10/6.74 ((v111(constB187) | v112(constB187)) | (~v112(constB187))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25059,plain,
% 9.10/6.74 (v111(constB187) | v112(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25058, 25057])).
% 9.10/6.74 tff(25060,plain,
% 9.10/6.74 ((~(v108(constB187) <=> (v111(constB187) | v112(constB187)))) | v108(constB187) | (~(v111(constB187) | v112(constB187)))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25061,plain,
% 9.10/6.74 (v108(constB187)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25060, 25059, 1002])).
% 9.10/6.74 tff(25062,plain,
% 9.10/6.74 ((~(v110(constB188) <=> v108(constB187))) | v110(constB188) | (~v108(constB187))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25063,plain,
% 9.10/6.74 (v110(constB188)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25062, 25061, 1000])).
% 9.10/6.74 tff(25064,plain,
% 9.10/6.74 ((~((~v101(constB188)) | (~v110(constB188)))) | (~v101(constB188)) | (~v110(constB188))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25065,plain,
% 9.10/6.74 (~((~v101(constB188)) | (~v110(constB188)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25064, 25063, 996])).
% 9.10/6.74 tff(25066,plain,
% 9.10/6.74 ((~(v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))) | v100(constB188) | ((~v101(constB188)) | (~v110(constB188)))),
% 9.10/6.74 inference(tautology,[status(thm)],[])).
% 9.10/6.74 tff(25067,plain,
% 9.10/6.74 (v100(constB188)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25066, 25065, 965])).
% 9.10/6.74 tff(25068,plain,
% 9.10/6.74 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B))))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(25069,plain,
% 9.10/6.74 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B))))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25070,plain,
% 9.10/6.74 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[25069, 25068])).
% 9.10/6.74 tff(25071,plain,
% 9.10/6.74 ((~v100(constB188)) | ![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25070, 9780])).
% 9.10/6.74 tff(25072,plain,
% 9.10/6.74 (![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25071, 25067])).
% 9.10/6.74 tff(25073,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(25074,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25075,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex2)) | (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[25074, 25073])).
% 9.10/6.74 tff(25076,plain,
% 9.10/6.74 (v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2)),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25075, 648, 25072])).
% 9.10/6.74 tff(25077,plain,
% 9.10/6.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B))))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(25078,plain,
% 9.10/6.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B))))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25079,plain,
% 9.10/6.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))),
% 9.10/6.74 inference(modus_ponens,[status(thm)],[25078, 25077])).
% 9.10/6.74 tff(25080,plain,
% 9.10/6.74 (![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))),
% 9.10/6.74 inference(unit_resolution,[status(thm)],[25079, 961, 9802])).
% 9.10/6.74 tff(25081,plain,
% 9.10/6.74 (((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)))),
% 9.10/6.74 inference(rewrite,[status(thm)],[])).
% 9.10/6.74 tff(25082,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)))),
% 9.10/6.74 inference(quant_inst,[status(thm)],[])).
% 9.10/6.74 tff(25083,plain,
% 9.10/6.74 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex2)) | (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25082, 25081])).
% 9.10/6.75 tff(25084,plain,
% 9.10/6.75 (v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25083, 648, 25080])).
% 9.10/6.75 tff(25085,plain,
% 9.10/6.75 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB187) | ![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB187) | ![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B))))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25086,plain,
% 9.10/6.75 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB187) | ![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B))))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25087,plain,
% 9.10/6.75 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB187) | ![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25086, 25085])).
% 9.10/6.75 tff(25088,plain,
% 9.10/6.75 (![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25087, 9823, 25049])).
% 9.10/6.75 tff(25089,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25090,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25091,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex2)) | (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25090, 25089])).
% 9.10/6.75 tff(25092,plain,
% 9.10/6.75 (v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25091, 648, 25088])).
% 9.10/6.75 tff(25093,plain,
% 9.10/6.75 (((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B))))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25094,plain,
% 9.10/6.75 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | ((~v122(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B))))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25095,plain,
% 9.10/6.75 ((~![VarCurr: $i] : ((~v122(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b100(B))))) | (~v122(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25094, 25093])).
% 9.10/6.75 tff(25096,plain,
% 9.10/6.75 ((~v122(constB187)) | ![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25095, 10383])).
% 9.10/6.75 tff(25097,plain,
% 9.10/6.75 (![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25096, 25024])).
% 9.10/6.75 tff(25098,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b100(bitIndex2)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25099,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b100(bitIndex2)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25100,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v130(constB187, bitIndex2) <=> b100(bitIndex2))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 9.10/6.75 tff(25101,plain,
% 9.10/6.75 (v130(constB187, bitIndex2) <=> b100(bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25100, 648, 25097])).
% 9.10/6.75 tff(25102,plain,
% 9.10/6.75 ((~(v130(constB187, bitIndex2) <=> b100(bitIndex2))) | v130(constB187, bitIndex2) | (~b100(bitIndex2))),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25103,plain,
% 9.10/6.75 ((~(v130(constB187, bitIndex2) <=> b100(bitIndex2))) | v130(constB187, bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25102, 10395])).
% 9.10/6.75 tff(25104,plain,
% 9.10/6.75 (v130(constB187, bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25103, 25101])).
% 9.10/6.75 tff(25105,plain,
% 9.10/6.75 ((~(v127(constB187, bitIndex2) <=> v130(constB187, bitIndex2))) | v127(constB187, bitIndex2) | (~v130(constB187, bitIndex2))),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25106,plain,
% 9.10/6.75 (v127(constB187, bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25105, 25104, 25092])).
% 9.10/6.75 tff(25107,plain,
% 9.10/6.75 ((~(v129(constB188, bitIndex2) <=> v127(constB187, bitIndex2))) | v129(constB188, bitIndex2) | (~v127(constB187, bitIndex2))),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25108,plain,
% 9.10/6.75 (v129(constB188, bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25107, 25106, 25084])).
% 9.10/6.75 tff(25109,plain,
% 9.10/6.75 ((~(v90(constB188, bitIndex2) <=> v129(constB188, bitIndex2))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2))),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25110,plain,
% 9.10/6.75 (v90(constB188, bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25109, 25108, 25076])).
% 9.10/6.75 tff(25111,plain,
% 9.10/6.75 ((~(v90(constB189, bitIndex2) <=> v90(constB188, bitIndex2))) | v90(constB189, bitIndex2) | (~v90(constB188, bitIndex2))),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25112,plain,
% 9.10/6.75 (v90(constB189, bitIndex2)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25111, 25110, 958])).
% 9.10/6.75 tff(25113,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25114,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25115,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 9.10/6.75 tff(25116,plain,
% 9.10/6.75 (v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25115, 9653, 954])).
% 9.10/6.75 tff(25117,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25118,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25119,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex0)) | (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25118, 25117])).
% 9.10/6.75 tff(25120,plain,
% 9.10/6.75 (v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25119, 9653, 25072])).
% 9.10/6.75 tff(25121,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25122,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25123,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex0)) | (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25122, 25121])).
% 9.10/6.75 tff(25124,plain,
% 9.10/6.75 (v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25123, 9653, 25080])).
% 9.10/6.75 tff(25125,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25126,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25127,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex0)) | (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25126, 25125])).
% 9.10/6.75 tff(25128,plain,
% 9.10/6.75 (v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25127, 9653, 25088])).
% 9.10/6.75 tff(25129,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b100(bitIndex0)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25130,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b100(bitIndex0)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25131,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v130(constB187, bitIndex0) <=> b100(bitIndex0))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25130, 25129])).
% 9.10/6.75 tff(25132,plain,
% 9.10/6.75 (v130(constB187, bitIndex0) <=> b100(bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25131, 9653, 25097])).
% 9.10/6.75 tff(25133,plain,
% 9.10/6.75 ((~(v130(constB187, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB187, bitIndex0)) | b100(bitIndex0)),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25134,plain,
% 9.10/6.75 ((~(v130(constB187, bitIndex0) <=> b100(bitIndex0))) | (~v130(constB187, bitIndex0))),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25133, 10429])).
% 9.10/6.75 tff(25135,plain,
% 9.10/6.75 (~v130(constB187, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25134, 25132])).
% 9.10/6.75 tff(25136,plain,
% 9.10/6.75 ((~(v127(constB187, bitIndex0) <=> v130(constB187, bitIndex0))) | (~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25137,plain,
% 9.10/6.75 (~v127(constB187, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25136, 25135, 25128])).
% 9.10/6.75 tff(25138,plain,
% 9.10/6.75 ((~(v129(constB188, bitIndex0) <=> v127(constB187, bitIndex0))) | (~v129(constB188, bitIndex0)) | v127(constB187, bitIndex0)),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25139,plain,
% 9.10/6.75 (~v129(constB188, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25138, 25137, 25124])).
% 9.10/6.75 tff(25140,plain,
% 9.10/6.75 ((~(v90(constB188, bitIndex0) <=> v129(constB188, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0)),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25141,plain,
% 9.10/6.75 (~v90(constB188, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25140, 25139, 25120])).
% 9.10/6.75 tff(25142,plain,
% 9.10/6.75 ((~(v90(constB189, bitIndex0) <=> v90(constB188, bitIndex0))) | (~v90(constB189, bitIndex0)) | v90(constB188, bitIndex0)),
% 9.10/6.75 inference(tautology,[status(thm)],[])).
% 9.10/6.75 tff(25143,plain,
% 9.10/6.75 (~v90(constB189, bitIndex0)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25142, 25141, 25116])).
% 9.10/6.75 tff(25144,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25145,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25146,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB189, B) <=> v90(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25145, 25144])).
% 9.10/6.75 tff(25147,plain,
% 9.10/6.75 (v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25146, 375, 954])).
% 9.10/6.75 tff(25148,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25149,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | ((~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25150,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB188, B) <=> v129(constB188, B)))) | (~less_3(bitIndex1)) | (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25149, 25148])).
% 9.10/6.75 tff(25151,plain,
% 9.10/6.75 (v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25150, 375, 25072])).
% 9.10/6.75 tff(25152,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)))),
% 9.10/6.75 inference(rewrite,[status(thm)],[])).
% 9.10/6.75 tff(25153,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | ((~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)))),
% 9.10/6.75 inference(quant_inst,[status(thm)],[])).
% 9.10/6.75 tff(25154,plain,
% 9.10/6.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB188, B) <=> v127(constB187, B)))) | (~less_3(bitIndex1)) | (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1))),
% 9.10/6.75 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 9.10/6.75 tff(25155,plain,
% 9.10/6.75 (v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1)),
% 9.10/6.75 inference(unit_resolution,[status(thm)],[25154, 375, 25080])).
% 9.10/6.75 tff(25156,plain,
% 9.10/6.75 (((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25157,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | ((~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25158,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB187, B) <=> v130(constB187, B)))) | (~less_3(bitIndex1)) | (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25157, 25156])).
% 9.18/6.75 tff(25159,plain,
% 9.18/6.75 (v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25158, 375, 25088])).
% 9.18/6.75 tff(25160,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b100(bitIndex1)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25161,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b100(bitIndex1)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25162,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB187, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v130(constB187, bitIndex1) <=> b100(bitIndex1))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25161, 25160])).
% 9.18/6.75 tff(25163,plain,
% 9.18/6.75 (v130(constB187, bitIndex1) <=> b100(bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25162, 375, 25097])).
% 9.18/6.75 tff(25164,plain,
% 9.18/6.75 ((~(v130(constB187, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB187, bitIndex1)) | b100(bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25165,plain,
% 9.18/6.75 ((~(v130(constB187, bitIndex1) <=> b100(bitIndex1))) | (~v130(constB187, bitIndex1))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25164, 10463])).
% 9.18/6.75 tff(25166,plain,
% 9.18/6.75 (~v130(constB187, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25165, 25163])).
% 9.18/6.75 tff(25167,plain,
% 9.18/6.75 ((~(v127(constB187, bitIndex1) <=> v130(constB187, bitIndex1))) | (~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25168,plain,
% 9.18/6.75 (~v127(constB187, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25167, 25166, 25159])).
% 9.18/6.75 tff(25169,plain,
% 9.18/6.75 ((~(v129(constB188, bitIndex1) <=> v127(constB187, bitIndex1))) | (~v129(constB188, bitIndex1)) | v127(constB187, bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25170,plain,
% 9.18/6.75 (~v129(constB188, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25169, 25168, 25155])).
% 9.18/6.75 tff(25171,plain,
% 9.18/6.75 ((~(v90(constB188, bitIndex1) <=> v129(constB188, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25172,plain,
% 9.18/6.75 (~v90(constB188, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25171, 25170, 25151])).
% 9.18/6.75 tff(25173,plain,
% 9.18/6.75 ((~(v90(constB189, bitIndex1) <=> v90(constB188, bitIndex1))) | (~v90(constB189, bitIndex1)) | v90(constB188, bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25174,plain,
% 9.18/6.75 (~v90(constB189, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25173, 25172, 25147])).
% 9.18/6.75 tff(25175,plain,
% 9.18/6.75 ((~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))) | (~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25176,plain,
% 9.18/6.75 (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25175, 25174, 25143, 25112])).
% 9.18/6.75 tff(25177,plain,
% 9.18/6.75 ((~(v123(constB189) <=> (~((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))))) | v123(constB189) | ((~v90(constB189, bitIndex2)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25178,plain,
% 9.18/6.75 (v123(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25177, 25176, 926])).
% 9.18/6.75 tff(25179,plain,
% 9.18/6.75 ((v116(constB189) | v123(constB189)) | (~v123(constB189))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25180,plain,
% 9.18/6.75 (v116(constB189) | v123(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25179, 25178])).
% 9.18/6.75 tff(25181,plain,
% 9.18/6.75 ((~(v115(constB189) <=> (v116(constB189) | v123(constB189)))) | v115(constB189) | (~(v116(constB189) | v123(constB189)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25182,plain,
% 9.18/6.75 (v115(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25181, 25180, 906])).
% 9.18/6.75 tff(25183,plain,
% 9.18/6.75 ((v115(constB189) | v124(constB189)) | (~v115(constB189))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25184,plain,
% 9.18/6.75 (v115(constB189) | v124(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25183, 25182])).
% 9.18/6.75 tff(25185,plain,
% 9.18/6.75 ((~(v114(constB189) <=> (v115(constB189) | v124(constB189)))) | v114(constB189) | (~(v115(constB189) | v124(constB189)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25186,plain,
% 9.18/6.75 (v114(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25185, 25184, 904])).
% 9.18/6.75 tff(25187,plain,
% 9.18/6.75 ((v114(constB189) | v125(constB189)) | (~v114(constB189))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25188,plain,
% 9.18/6.75 (v114(constB189) | v125(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25187, 25186])).
% 9.18/6.75 tff(25189,plain,
% 9.18/6.75 ((~(v113(constB189) <=> (v114(constB189) | v125(constB189)))) | v113(constB189) | (~(v114(constB189) | v125(constB189)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25190,plain,
% 9.18/6.75 (v113(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25189, 25188, 902])).
% 9.18/6.75 tff(25191,plain,
% 9.18/6.75 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB189)) <=> v111(constB189))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25192,plain,
% 9.18/6.75 ((~v126(constB189)) <=> v111(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25191, 9720])).
% 9.18/6.75 tff(25193,plain,
% 9.18/6.75 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB189) <=> v26(constB189))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25194,plain,
% 9.18/6.75 (v111(constB189) <=> v26(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25193, 9732])).
% 9.18/6.75 tff(25195,plain,
% 9.18/6.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25196,plain,
% 9.18/6.75 (~v26(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25195, 9744])).
% 9.18/6.75 tff(25197,plain,
% 9.18/6.75 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189)) | v26(constB189)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25198,plain,
% 9.18/6.75 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25197, 25196])).
% 9.18/6.75 tff(25199,plain,
% 9.18/6.75 (~v111(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25198, 25194])).
% 9.18/6.75 tff(25200,plain,
% 9.18/6.75 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189) | v111(constB189)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25201,plain,
% 9.18/6.75 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25200, 25199])).
% 9.18/6.75 tff(25202,plain,
% 9.18/6.75 (v126(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25201, 25192])).
% 9.18/6.75 tff(25203,plain,
% 9.18/6.75 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189)) | (~v126(constB189))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25204,plain,
% 9.18/6.75 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25203, 25202])).
% 9.18/6.75 tff(25205,plain,
% 9.18/6.75 (~((~v113(constB189)) | (~v126(constB189)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25204, 25190])).
% 9.18/6.75 tff(25206,plain,
% 9.18/6.75 ((~(v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))) | v112(constB189) | ((~v113(constB189)) | (~v126(constB189)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25207,plain,
% 9.18/6.75 (v112(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25206, 25205, 900])).
% 9.18/6.75 tff(25208,plain,
% 9.18/6.75 ((v111(constB189) | v112(constB189)) | (~v112(constB189))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25209,plain,
% 9.18/6.75 (v111(constB189) | v112(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25208, 25207])).
% 9.18/6.75 tff(25210,plain,
% 9.18/6.75 ((~(v108(constB189) <=> (v111(constB189) | v112(constB189)))) | v108(constB189) | (~(v111(constB189) | v112(constB189)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25211,plain,
% 9.18/6.75 (v108(constB189)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25210, 25209, 898])).
% 9.18/6.75 tff(25212,plain,
% 9.18/6.75 ((~(v110(constB190) <=> v108(constB189))) | v110(constB190) | (~v108(constB189))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25213,plain,
% 9.18/6.75 (v110(constB190)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25212, 25211, 896])).
% 9.18/6.75 tff(25214,plain,
% 9.18/6.75 ((~((~v101(constB190)) | (~v110(constB190)))) | (~v101(constB190)) | (~v110(constB190))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25215,plain,
% 9.18/6.75 (~((~v101(constB190)) | (~v110(constB190)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25214, 25213, 892])).
% 9.18/6.75 tff(25216,plain,
% 9.18/6.75 ((~(v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))) | v100(constB190) | ((~v101(constB190)) | (~v110(constB190)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25217,plain,
% 9.18/6.75 (v100(constB190)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25216, 25215, 861])).
% 9.18/6.75 tff(25218,plain,
% 9.18/6.75 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25219,plain,
% 9.18/6.75 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25220,plain,
% 9.18/6.75 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25219, 25218])).
% 9.18/6.75 tff(25221,plain,
% 9.18/6.75 ((~v100(constB190)) | ![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25220, 9780])).
% 9.18/6.75 tff(25222,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25221, 25217])).
% 9.18/6.75 tff(25223,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25224,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25225,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex2)) | (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25224, 25223])).
% 9.18/6.75 tff(25226,plain,
% 9.18/6.75 (v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25225, 648, 25222])).
% 9.18/6.75 tff(25227,plain,
% 9.18/6.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25228,plain,
% 9.18/6.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25229,plain,
% 9.18/6.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25228, 25227])).
% 9.18/6.75 tff(25230,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25229, 857, 9802])).
% 9.18/6.75 tff(25231,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25232,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25233,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex2)) | (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25232, 25231])).
% 9.18/6.75 tff(25234,plain,
% 9.18/6.75 (v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25233, 648, 25230])).
% 9.18/6.75 tff(25235,plain,
% 9.18/6.75 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB189) | ![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB189) | ![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25236,plain,
% 9.18/6.75 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB189) | ![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25237,plain,
% 9.18/6.75 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB189) | ![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25236, 25235])).
% 9.18/6.75 tff(25238,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25237, 9823, 25199])).
% 9.18/6.75 tff(25239,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25240,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25241,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex2)) | (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25240, 25239])).
% 9.18/6.75 tff(25242,plain,
% 9.18/6.75 (v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25241, 648, 25238])).
% 9.18/6.75 tff(25243,plain,
% 9.18/6.75 (((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25244,plain,
% 9.18/6.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | ((~v123(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25245,plain,
% 9.18/6.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b101(B))))) | (~v123(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25244, 25243])).
% 9.18/6.75 tff(25246,plain,
% 9.18/6.75 ((~v123(constB189)) | ![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25245, 10555])).
% 9.18/6.75 tff(25247,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25246, 25178])).
% 9.18/6.75 tff(25248,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b101(bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(25249,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b101(bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(25250,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v130(constB189, bitIndex2) <=> b101(bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[25249, 25248])).
% 9.18/6.75 tff(25251,plain,
% 9.18/6.75 (v130(constB189, bitIndex2) <=> b101(bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25250, 648, 25247])).
% 9.18/6.75 tff(25252,plain,
% 9.18/6.75 ((~(v130(constB189, bitIndex2) <=> b101(bitIndex2))) | v130(constB189, bitIndex2) | (~b101(bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25253,plain,
% 9.18/6.75 ((~(v130(constB189, bitIndex2) <=> b101(bitIndex2))) | v130(constB189, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25252, 10567])).
% 9.18/6.75 tff(25254,plain,
% 9.18/6.75 (v130(constB189, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25253, 25251])).
% 9.18/6.75 tff(25255,plain,
% 9.18/6.75 ((~(v127(constB189, bitIndex2) <=> v130(constB189, bitIndex2))) | v127(constB189, bitIndex2) | (~v130(constB189, bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25256,plain,
% 9.18/6.75 (v127(constB189, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25255, 25254, 25242])).
% 9.18/6.75 tff(25257,plain,
% 9.18/6.75 ((~(v129(constB190, bitIndex2) <=> v127(constB189, bitIndex2))) | v129(constB190, bitIndex2) | (~v127(constB189, bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25258,plain,
% 9.18/6.75 (v129(constB190, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25257, 25256, 25234])).
% 9.18/6.75 tff(25259,plain,
% 9.18/6.75 ((~(v90(constB190, bitIndex2) <=> v129(constB190, bitIndex2))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25260,plain,
% 9.18/6.75 (v90(constB190, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25259, 25258, 25226])).
% 9.18/6.75 tff(25261,plain,
% 9.18/6.75 ((~(v90(constB191, bitIndex2) <=> v90(constB190, bitIndex2))) | v90(constB191, bitIndex2) | (~v90(constB190, bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(25262,plain,
% 9.18/6.75 (v90(constB191, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[25261, 25260, 854])).
% 9.18/6.75 tff(25263,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25264,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25265,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 9.18/6.76 tff(25266,plain,
% 9.18/6.76 (v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25265, 9653, 850])).
% 9.18/6.76 tff(25267,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25268,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25269,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex0)) | (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 9.18/6.76 tff(25270,plain,
% 9.18/6.76 (v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25269, 9653, 25222])).
% 9.18/6.76 tff(25271,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25272,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25273,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex0)) | (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25272, 25271])).
% 9.18/6.76 tff(25274,plain,
% 9.18/6.76 (v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25273, 9653, 25230])).
% 9.18/6.76 tff(25275,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25276,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25277,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex0)) | (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 9.18/6.76 tff(25278,plain,
% 9.18/6.76 (v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25277, 9653, 25238])).
% 9.18/6.76 tff(25279,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b101(bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25280,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b101(bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25281,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v130(constB189, bitIndex0) <=> b101(bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25280, 25279])).
% 9.18/6.76 tff(25282,plain,
% 9.18/6.76 (v130(constB189, bitIndex0) <=> b101(bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25281, 9653, 25247])).
% 9.18/6.76 tff(25283,plain,
% 9.18/6.76 ((~(v130(constB189, bitIndex0) <=> b101(bitIndex0))) | v130(constB189, bitIndex0) | (~b101(bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25284,plain,
% 9.18/6.76 ((~(v130(constB189, bitIndex0) <=> b101(bitIndex0))) | v130(constB189, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25283, 10601])).
% 9.18/6.76 tff(25285,plain,
% 9.18/6.76 (v130(constB189, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25284, 25282])).
% 9.18/6.76 tff(25286,plain,
% 9.18/6.76 ((~(v127(constB189, bitIndex0) <=> v130(constB189, bitIndex0))) | v127(constB189, bitIndex0) | (~v130(constB189, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25287,plain,
% 9.18/6.76 (v127(constB189, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25286, 25285, 25278])).
% 9.18/6.76 tff(25288,plain,
% 9.18/6.76 ((~(v129(constB190, bitIndex0) <=> v127(constB189, bitIndex0))) | v129(constB190, bitIndex0) | (~v127(constB189, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25289,plain,
% 9.18/6.76 (v129(constB190, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25288, 25287, 25274])).
% 9.18/6.76 tff(25290,plain,
% 9.18/6.76 ((~(v90(constB190, bitIndex0) <=> v129(constB190, bitIndex0))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25291,plain,
% 9.18/6.76 (v90(constB190, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25290, 25289, 25270])).
% 9.18/6.76 tff(25292,plain,
% 9.18/6.76 ((~(v90(constB191, bitIndex0) <=> v90(constB190, bitIndex0))) | v90(constB191, bitIndex0) | (~v90(constB190, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25293,plain,
% 9.18/6.76 (v90(constB191, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25292, 25291, 25266])).
% 9.18/6.76 tff(25294,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25295,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25296,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB191, B) <=> v90(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25295, 25294])).
% 9.18/6.76 tff(25297,plain,
% 9.18/6.76 (v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25296, 375, 850])).
% 9.18/6.76 tff(25298,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25299,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | ((~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25300,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB190, B) <=> v129(constB190, B)))) | (~less_3(bitIndex1)) | (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25299, 25298])).
% 9.18/6.76 tff(25301,plain,
% 9.18/6.76 (v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25300, 375, 25222])).
% 9.18/6.76 tff(25302,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25303,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | ((~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25304,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v129(constB190, B) <=> v127(constB189, B)))) | (~less_3(bitIndex1)) | (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25303, 25302])).
% 9.18/6.76 tff(25305,plain,
% 9.18/6.76 (v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25304, 375, 25230])).
% 9.18/6.76 tff(25306,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25307,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | ((~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25308,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v127(constB189, B) <=> v130(constB189, B)))) | (~less_3(bitIndex1)) | (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25307, 25306])).
% 9.18/6.76 tff(25309,plain,
% 9.18/6.76 (v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25308, 375, 25238])).
% 9.18/6.76 tff(25310,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b101(bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25311,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b101(bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25312,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v130(constB189, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v130(constB189, bitIndex1) <=> b101(bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 9.18/6.76 tff(25313,plain,
% 9.18/6.76 (v130(constB189, bitIndex1) <=> b101(bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25312, 375, 25247])).
% 9.18/6.76 tff(25314,plain,
% 9.18/6.76 ((~(v130(constB189, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB189, bitIndex1)) | b101(bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25315,plain,
% 9.18/6.76 ((~(v130(constB189, bitIndex1) <=> b101(bitIndex1))) | (~v130(constB189, bitIndex1))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25314, 10635])).
% 9.18/6.76 tff(25316,plain,
% 9.18/6.76 (~v130(constB189, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25315, 25313])).
% 9.18/6.76 tff(25317,plain,
% 9.18/6.76 ((~(v127(constB189, bitIndex1) <=> v130(constB189, bitIndex1))) | (~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25318,plain,
% 9.18/6.76 (~v127(constB189, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25317, 25316, 25309])).
% 9.18/6.76 tff(25319,plain,
% 9.18/6.76 ((~(v129(constB190, bitIndex1) <=> v127(constB189, bitIndex1))) | (~v129(constB190, bitIndex1)) | v127(constB189, bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25320,plain,
% 9.18/6.76 (~v129(constB190, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25319, 25318, 25305])).
% 9.18/6.76 tff(25321,plain,
% 9.18/6.76 ((~(v90(constB190, bitIndex1) <=> v129(constB190, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25322,plain,
% 9.18/6.76 (~v90(constB190, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25321, 25320, 25301])).
% 9.18/6.76 tff(25323,plain,
% 9.18/6.76 ((~(v90(constB191, bitIndex1) <=> v90(constB190, bitIndex1))) | (~v90(constB191, bitIndex1)) | v90(constB190, bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25324,plain,
% 9.18/6.76 (~v90(constB191, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25323, 25322, 25297])).
% 9.18/6.76 tff(25325,plain,
% 9.18/6.76 ((~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))) | (~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25326,plain,
% 9.18/6.76 (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25325, 25324, 25293, 25262])).
% 9.18/6.76 tff(25327,plain,
% 9.18/6.76 ((~(v124(constB191) <=> (~((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))))) | v124(constB191) | ((~v90(constB191, bitIndex2)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25328,plain,
% 9.18/6.76 (v124(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25327, 25326, 822])).
% 9.18/6.76 tff(25329,plain,
% 9.18/6.76 ((v115(constB191) | v124(constB191)) | (~v124(constB191))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25330,plain,
% 9.18/6.76 (v115(constB191) | v124(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25329, 25328])).
% 9.18/6.76 tff(25331,plain,
% 9.18/6.76 ((~(v114(constB191) <=> (v115(constB191) | v124(constB191)))) | v114(constB191) | (~(v115(constB191) | v124(constB191)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25332,plain,
% 9.18/6.76 (v114(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25331, 25330, 802])).
% 9.18/6.76 tff(25333,plain,
% 9.18/6.76 ((v114(constB191) | v125(constB191)) | (~v114(constB191))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25334,plain,
% 9.18/6.76 (v114(constB191) | v125(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25333, 25332])).
% 9.18/6.76 tff(25335,plain,
% 9.18/6.76 ((~(v113(constB191) <=> (v114(constB191) | v125(constB191)))) | v113(constB191) | (~(v114(constB191) | v125(constB191)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25336,plain,
% 9.18/6.76 (v113(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25335, 25334, 800])).
% 9.18/6.76 tff(25337,plain,
% 9.18/6.76 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB191)) <=> v111(constB191))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25338,plain,
% 9.18/6.76 ((~v126(constB191)) <=> v111(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25337, 9720])).
% 9.18/6.76 tff(25339,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB191) <=> v26(constB191))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25340,plain,
% 9.18/6.76 (v111(constB191) <=> v26(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25339, 9732])).
% 9.18/6.76 tff(25341,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25342,plain,
% 9.18/6.76 (~v26(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25341, 9744])).
% 9.18/6.76 tff(25343,plain,
% 9.18/6.76 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191)) | v26(constB191)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25344,plain,
% 9.18/6.76 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25343, 25342])).
% 9.18/6.76 tff(25345,plain,
% 9.18/6.76 (~v111(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25344, 25340])).
% 9.18/6.76 tff(25346,plain,
% 9.18/6.76 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191) | v111(constB191)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25347,plain,
% 9.18/6.76 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25346, 25345])).
% 9.18/6.76 tff(25348,plain,
% 9.18/6.76 (v126(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25347, 25338])).
% 9.18/6.76 tff(25349,plain,
% 9.18/6.76 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191)) | (~v126(constB191))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25350,plain,
% 9.18/6.76 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25349, 25348])).
% 9.18/6.76 tff(25351,plain,
% 9.18/6.76 (~((~v113(constB191)) | (~v126(constB191)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25350, 25336])).
% 9.18/6.76 tff(25352,plain,
% 9.18/6.76 ((~(v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))) | v112(constB191) | ((~v113(constB191)) | (~v126(constB191)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25353,plain,
% 9.18/6.76 (v112(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25352, 25351, 798])).
% 9.18/6.76 tff(25354,plain,
% 9.18/6.76 ((v111(constB191) | v112(constB191)) | (~v112(constB191))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25355,plain,
% 9.18/6.76 (v111(constB191) | v112(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25354, 25353])).
% 9.18/6.76 tff(25356,plain,
% 9.18/6.76 ((~(v108(constB191) <=> (v111(constB191) | v112(constB191)))) | v108(constB191) | (~(v111(constB191) | v112(constB191)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25357,plain,
% 9.18/6.76 (v108(constB191)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25356, 25355, 796])).
% 9.18/6.76 tff(25358,plain,
% 9.18/6.76 ((~(v110(constB192) <=> v108(constB191))) | v110(constB192) | (~v108(constB191))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25359,plain,
% 9.18/6.76 (v110(constB192)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25358, 25357, 794])).
% 9.18/6.76 tff(25360,plain,
% 9.18/6.76 ((~((~v101(constB192)) | (~v110(constB192)))) | (~v101(constB192)) | (~v110(constB192))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25361,plain,
% 9.18/6.76 (~((~v101(constB192)) | (~v110(constB192)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25360, 25359, 790])).
% 9.18/6.76 tff(25362,plain,
% 9.18/6.76 ((~(v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))) | v100(constB192) | ((~v101(constB192)) | (~v110(constB192)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25363,plain,
% 9.18/6.76 (v100(constB192)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25362, 25361, 759])).
% 9.18/6.76 tff(25364,plain,
% 9.18/6.76 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25365,plain,
% 9.18/6.76 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25366,plain,
% 9.18/6.76 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25365, 25364])).
% 9.18/6.76 tff(25367,plain,
% 9.18/6.76 ((~v100(constB192)) | ![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25366, 9780])).
% 9.18/6.76 tff(25368,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25367, 25363])).
% 9.18/6.76 tff(25369,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25370,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25371,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex2)) | (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25370, 25369])).
% 9.18/6.76 tff(25372,plain,
% 9.18/6.76 (v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25371, 648, 25368])).
% 9.18/6.76 tff(25373,plain,
% 9.18/6.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25374,plain,
% 9.18/6.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25375,plain,
% 9.18/6.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25374, 25373])).
% 9.18/6.76 tff(25376,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25375, 755, 9802])).
% 9.18/6.76 tff(25377,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25378,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25379,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex2)) | (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25378, 25377])).
% 9.18/6.76 tff(25380,plain,
% 9.18/6.76 (v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25379, 648, 25376])).
% 9.18/6.76 tff(25381,plain,
% 9.18/6.76 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB191) | ![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB191) | ![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25382,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB191) | ![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25383,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB191) | ![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25382, 25381])).
% 9.18/6.76 tff(25384,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25383, 9823, 25345])).
% 9.18/6.76 tff(25385,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25386,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25387,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex2)) | (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25386, 25385])).
% 9.18/6.76 tff(25388,plain,
% 9.18/6.76 (v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25387, 648, 25384])).
% 9.18/6.76 tff(25389,plain,
% 9.18/6.76 (((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25390,plain,
% 9.18/6.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | ((~v124(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25391,plain,
% 9.18/6.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b110(B))))) | (~v124(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25390, 25389])).
% 9.18/6.76 tff(25392,plain,
% 9.18/6.76 ((~v124(constB191)) | ![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25391, 10723])).
% 9.18/6.76 tff(25393,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25392, 25328])).
% 9.18/6.76 tff(25394,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b110(bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25395,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b110(bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25396,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v130(constB191, bitIndex2) <=> b110(bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25395, 25394])).
% 9.18/6.76 tff(25397,plain,
% 9.18/6.76 (v130(constB191, bitIndex2) <=> b110(bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25396, 648, 25393])).
% 9.18/6.76 tff(25398,plain,
% 9.18/6.76 ((~(v130(constB191, bitIndex2) <=> b110(bitIndex2))) | v130(constB191, bitIndex2) | (~b110(bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25399,plain,
% 9.18/6.76 ((~(v130(constB191, bitIndex2) <=> b110(bitIndex2))) | v130(constB191, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25398, 10735])).
% 9.18/6.76 tff(25400,plain,
% 9.18/6.76 (v130(constB191, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25399, 25397])).
% 9.18/6.76 tff(25401,plain,
% 9.18/6.76 ((~(v127(constB191, bitIndex2) <=> v130(constB191, bitIndex2))) | v127(constB191, bitIndex2) | (~v130(constB191, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25402,plain,
% 9.18/6.76 (v127(constB191, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25401, 25400, 25388])).
% 9.18/6.76 tff(25403,plain,
% 9.18/6.76 ((~(v129(constB192, bitIndex2) <=> v127(constB191, bitIndex2))) | v129(constB192, bitIndex2) | (~v127(constB191, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25404,plain,
% 9.18/6.76 (v129(constB192, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25403, 25402, 25380])).
% 9.18/6.76 tff(25405,plain,
% 9.18/6.76 ((~(v90(constB192, bitIndex2) <=> v129(constB192, bitIndex2))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25406,plain,
% 9.18/6.76 (v90(constB192, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25405, 25404, 25372])).
% 9.18/6.76 tff(25407,plain,
% 9.18/6.76 ((~(v90(constB193, bitIndex2) <=> v90(constB192, bitIndex2))) | v90(constB193, bitIndex2) | (~v90(constB192, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(25408,plain,
% 9.18/6.76 (v90(constB193, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25407, 25406, 752])).
% 9.18/6.76 tff(25409,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25410,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25411,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25410, 25409])).
% 9.18/6.76 tff(25412,plain,
% 9.18/6.76 (v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25411, 9653, 748])).
% 9.18/6.76 tff(25413,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25414,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25415,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex0)) | (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 9.18/6.76 tff(25416,plain,
% 9.18/6.76 (v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25415, 9653, 25368])).
% 9.18/6.76 tff(25417,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(25418,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(25419,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex0)) | (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[25418, 25417])).
% 9.18/6.76 tff(25420,plain,
% 9.18/6.76 (v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[25419, 9653, 25376])).
% 9.18/6.76 tff(25421,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25422,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25423,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex0)) | (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 9.18/6.77 tff(25424,plain,
% 9.18/6.77 (v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25423, 9653, 25384])).
% 9.18/6.77 tff(25425,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b110(bitIndex0)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25426,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b110(bitIndex0)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25427,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v130(constB191, bitIndex0) <=> b110(bitIndex0))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25426, 25425])).
% 9.18/6.77 tff(25428,plain,
% 9.18/6.77 (v130(constB191, bitIndex0) <=> b110(bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25427, 9653, 25393])).
% 9.18/6.77 tff(25429,plain,
% 9.18/6.77 ((~(v130(constB191, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB191, bitIndex0)) | b110(bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25430,plain,
% 9.18/6.77 ((~(v130(constB191, bitIndex0) <=> b110(bitIndex0))) | (~v130(constB191, bitIndex0))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25429, 10769])).
% 9.18/6.77 tff(25431,plain,
% 9.18/6.77 (~v130(constB191, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25430, 25428])).
% 9.18/6.77 tff(25432,plain,
% 9.18/6.77 ((~(v127(constB191, bitIndex0) <=> v130(constB191, bitIndex0))) | (~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25433,plain,
% 9.18/6.77 (~v127(constB191, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25432, 25431, 25424])).
% 9.18/6.77 tff(25434,plain,
% 9.18/6.77 ((~(v129(constB192, bitIndex0) <=> v127(constB191, bitIndex0))) | (~v129(constB192, bitIndex0)) | v127(constB191, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25435,plain,
% 9.18/6.77 (~v129(constB192, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25434, 25433, 25420])).
% 9.18/6.77 tff(25436,plain,
% 9.18/6.77 ((~(v90(constB192, bitIndex0) <=> v129(constB192, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25437,plain,
% 9.18/6.77 (~v90(constB192, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25436, 25435, 25416])).
% 9.18/6.77 tff(25438,plain,
% 9.18/6.77 ((~(v90(constB193, bitIndex0) <=> v90(constB192, bitIndex0))) | (~v90(constB193, bitIndex0)) | v90(constB192, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25439,plain,
% 9.18/6.77 (~v90(constB193, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25438, 25437, 25412])).
% 9.18/6.77 tff(25440,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25441,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25442,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB193, B) <=> v90(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25441, 25440])).
% 9.18/6.77 tff(25443,plain,
% 9.18/6.77 (v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25442, 375, 748])).
% 9.18/6.77 tff(25444,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25445,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | ((~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25446,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB192, B) <=> v129(constB192, B)))) | (~less_3(bitIndex1)) | (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25445, 25444])).
% 9.18/6.77 tff(25447,plain,
% 9.18/6.77 (v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25446, 375, 25368])).
% 9.18/6.77 tff(25448,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25449,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | ((~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25450,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v129(constB192, B) <=> v127(constB191, B)))) | (~less_3(bitIndex1)) | (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25449, 25448])).
% 9.18/6.77 tff(25451,plain,
% 9.18/6.77 (v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25450, 375, 25376])).
% 9.18/6.77 tff(25452,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25453,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | ((~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25454,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v127(constB191, B) <=> v130(constB191, B)))) | (~less_3(bitIndex1)) | (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25453, 25452])).
% 9.18/6.77 tff(25455,plain,
% 9.18/6.77 (v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25454, 375, 25384])).
% 9.18/6.77 tff(25456,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b110(bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25457,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b110(bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25458,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v130(constB191, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v130(constB191, bitIndex1) <=> b110(bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25457, 25456])).
% 9.18/6.77 tff(25459,plain,
% 9.18/6.77 (v130(constB191, bitIndex1) <=> b110(bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25458, 375, 25393])).
% 9.18/6.77 tff(25460,plain,
% 9.18/6.77 ((~(v130(constB191, bitIndex1) <=> b110(bitIndex1))) | v130(constB191, bitIndex1) | (~b110(bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25461,plain,
% 9.18/6.77 ((~(v130(constB191, bitIndex1) <=> b110(bitIndex1))) | v130(constB191, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25460, 10803])).
% 9.18/6.77 tff(25462,plain,
% 9.18/6.77 (v130(constB191, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25461, 25459])).
% 9.18/6.77 tff(25463,plain,
% 9.18/6.77 ((~(v127(constB191, bitIndex1) <=> v130(constB191, bitIndex1))) | v127(constB191, bitIndex1) | (~v130(constB191, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25464,plain,
% 9.18/6.77 (v127(constB191, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25463, 25462, 25455])).
% 9.18/6.77 tff(25465,plain,
% 9.18/6.77 ((~(v129(constB192, bitIndex1) <=> v127(constB191, bitIndex1))) | v129(constB192, bitIndex1) | (~v127(constB191, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25466,plain,
% 9.18/6.77 (v129(constB192, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25465, 25464, 25451])).
% 9.18/6.77 tff(25467,plain,
% 9.18/6.77 ((~(v90(constB192, bitIndex1) <=> v129(constB192, bitIndex1))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25468,plain,
% 9.18/6.77 (v90(constB192, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25467, 25466, 25447])).
% 9.18/6.77 tff(25469,plain,
% 9.18/6.77 ((~(v90(constB193, bitIndex1) <=> v90(constB192, bitIndex1))) | v90(constB193, bitIndex1) | (~v90(constB192, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25470,plain,
% 9.18/6.77 (v90(constB193, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25469, 25468, 25443])).
% 9.18/6.77 tff(25471,plain,
% 9.18/6.77 ((~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25472,plain,
% 9.18/6.77 (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25471, 25470, 25439, 25408])).
% 9.18/6.77 tff(25473,plain,
% 9.18/6.77 ((~(v125(constB193) <=> (~((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))) | v125(constB193) | ((~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25474,plain,
% 9.18/6.77 (v125(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25473, 25472, 720])).
% 9.18/6.77 tff(25475,plain,
% 9.18/6.77 ((v114(constB193) | v125(constB193)) | (~v125(constB193))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25476,plain,
% 9.18/6.77 (v114(constB193) | v125(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25475, 25474])).
% 9.18/6.77 tff(25477,plain,
% 9.18/6.77 ((~(v113(constB193) <=> (v114(constB193) | v125(constB193)))) | v113(constB193) | (~(v114(constB193) | v125(constB193)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25478,plain,
% 9.18/6.77 (v113(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25477, 25476, 700])).
% 9.18/6.77 tff(25479,plain,
% 9.18/6.77 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB193)) <=> v111(constB193))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25480,plain,
% 9.18/6.77 ((~v126(constB193)) <=> v111(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25479, 9720])).
% 9.18/6.77 tff(25481,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB193) <=> v26(constB193))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25482,plain,
% 9.18/6.77 (v111(constB193) <=> v26(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25481, 9732])).
% 9.18/6.77 tff(25483,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25484,plain,
% 9.18/6.77 (~v26(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25483, 9744])).
% 9.18/6.77 tff(25485,plain,
% 9.18/6.77 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193)) | v26(constB193)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25486,plain,
% 9.18/6.77 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25485, 25484])).
% 9.18/6.77 tff(25487,plain,
% 9.18/6.77 (~v111(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25486, 25482])).
% 9.18/6.77 tff(25488,plain,
% 9.18/6.77 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193) | v111(constB193)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25489,plain,
% 9.18/6.77 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25488, 25487])).
% 9.18/6.77 tff(25490,plain,
% 9.18/6.77 (v126(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25489, 25480])).
% 9.18/6.77 tff(25491,plain,
% 9.18/6.77 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193)) | (~v126(constB193))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25492,plain,
% 9.18/6.77 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25491, 25490])).
% 9.18/6.77 tff(25493,plain,
% 9.18/6.77 (~((~v113(constB193)) | (~v126(constB193)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25492, 25478])).
% 9.18/6.77 tff(25494,plain,
% 9.18/6.77 ((~(v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))) | v112(constB193) | ((~v113(constB193)) | (~v126(constB193)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25495,plain,
% 9.18/6.77 (v112(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25494, 25493, 698])).
% 9.18/6.77 tff(25496,plain,
% 9.18/6.77 ((v111(constB193) | v112(constB193)) | (~v112(constB193))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25497,plain,
% 9.18/6.77 (v111(constB193) | v112(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25496, 25495])).
% 9.18/6.77 tff(25498,plain,
% 9.18/6.77 ((~(v108(constB193) <=> (v111(constB193) | v112(constB193)))) | v108(constB193) | (~(v111(constB193) | v112(constB193)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25499,plain,
% 9.18/6.77 (v108(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25498, 25497, 696])).
% 9.18/6.77 tff(25500,plain,
% 9.18/6.77 ((~(v110(constB194) <=> v108(constB193))) | v110(constB194) | (~v108(constB193))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25501,plain,
% 9.18/6.77 (v110(constB194)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25500, 25499, 694])).
% 9.18/6.77 tff(25502,plain,
% 9.18/6.77 ((~((~v101(constB194)) | (~v110(constB194)))) | (~v101(constB194)) | (~v110(constB194))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25503,plain,
% 9.18/6.77 (~((~v101(constB194)) | (~v110(constB194)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25502, 25501, 690])).
% 9.18/6.77 tff(25504,plain,
% 9.18/6.77 ((~(v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))) | v100(constB194) | ((~v101(constB194)) | (~v110(constB194)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25505,plain,
% 9.18/6.77 (v100(constB194)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25504, 25503, 659])).
% 9.18/6.77 tff(25506,plain,
% 9.18/6.77 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25507,plain,
% 9.18/6.77 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25508,plain,
% 9.18/6.77 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25507, 25506])).
% 9.18/6.77 tff(25509,plain,
% 9.18/6.77 ((~v100(constB194)) | ![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25508, 9780])).
% 9.18/6.77 tff(25510,plain,
% 9.18/6.77 (![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25509, 25505])).
% 9.18/6.77 tff(25511,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25512,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25513,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex2)) | (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25512, 25511])).
% 9.18/6.77 tff(25514,plain,
% 9.18/6.77 (v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25513, 648, 25510])).
% 9.18/6.77 tff(25515,plain,
% 9.18/6.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB193, constB194)) | ![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB193, constB194)) | ![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25516,plain,
% 9.18/6.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB193, constB194)) | ![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25517,plain,
% 9.18/6.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB193, constB194)) | ![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25516, 25515])).
% 9.18/6.77 tff(25518,plain,
% 9.18/6.77 (![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25517, 655, 9802])).
% 9.18/6.77 tff(25519,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25520,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25521,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex2)) | (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25520, 25519])).
% 9.18/6.77 tff(25522,plain,
% 9.18/6.77 (v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25521, 648, 25518])).
% 9.18/6.77 tff(25523,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB193) | ![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB193) | ![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25524,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB193) | ![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25525,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB193) | ![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25524, 25523])).
% 9.18/6.77 tff(25526,plain,
% 9.18/6.77 (![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25525, 9823, 25487])).
% 9.18/6.77 tff(25527,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25528,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25529,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex2)) | (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25528, 25527])).
% 9.18/6.77 tff(25530,plain,
% 9.18/6.77 (v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25529, 648, 25526])).
% 9.18/6.77 tff(25531,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25532,plain,
% 9.18/6.77 (v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25531, 9620])).
% 9.18/6.77 tff(25533,plain,
% 9.18/6.77 ((v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex2))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25534,plain,
% 9.18/6.77 (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25533, 25408])).
% 9.18/6.77 tff(25535,plain,
% 9.18/6.77 ((~(v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))))) | (~v119(constB193)) | (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25536,plain,
% 9.18/6.77 (~v119(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25535, 25534, 25532])).
% 9.18/6.77 tff(25537,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25538,plain,
% 9.18/6.77 ((v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2))))) <=> (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25539,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))))),
% 9.18/6.77 inference(monotonicity,[status(thm)],[25538])).
% 9.18/6.77 tff(25540,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))))),
% 9.18/6.77 inference(transitivity,[status(thm)],[25539, 25537])).
% 9.18/6.77 tff(25541,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2)))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25542,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25541, 25540])).
% 9.18/6.77 tff(25543,plain,
% 9.18/6.77 (v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25542, 815])).
% 9.18/6.77 tff(25544,plain,
% 9.18/6.77 (((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25545,plain,
% 9.18/6.77 ((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25544, 25470])).
% 9.18/6.77 tff(25546,plain,
% 9.18/6.77 ((~(v124(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))) | (~v124(constB193)) | (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25547,plain,
% 9.18/6.77 (~v124(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25546, 25545, 25543])).
% 9.18/6.77 tff(25548,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25549,plain,
% 9.18/6.77 ((v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2))))) <=> (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25550,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))))),
% 9.18/6.77 inference(monotonicity,[status(thm)],[25549])).
% 9.18/6.77 tff(25551,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))))),
% 9.18/6.77 inference(transitivity,[status(thm)],[25550, 25548])).
% 9.18/6.77 tff(25552,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(25553,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[25552, 25551])).
% 9.18/6.77 tff(25554,plain,
% 9.18/6.77 (v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25553, 919])).
% 9.18/6.77 tff(25555,plain,
% 9.18/6.77 (((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25556,plain,
% 9.18/6.77 ((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25555, 25470])).
% 9.18/6.77 tff(25557,plain,
% 9.18/6.77 ((~(v123(constB193) <=> (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0))))) | (~v123(constB193)) | (~((~v90(constB193, bitIndex2)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(25558,plain,
% 9.18/6.77 (~v123(constB193)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[25557, 25556, 25554])).
% 9.18/6.77 tff(25559,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25560,plain,
% 9.18/6.77 ((v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1))))) <=> (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(25561,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))))),
% 9.18/6.77 inference(monotonicity,[status(thm)],[25560])).
% 9.18/6.77 tff(25562,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))))),
% 9.20/6.78 inference(transitivity,[status(thm)],[25561, 25559])).
% 9.20/6.78 tff(25563,plain,
% 9.20/6.78 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)))))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25564,plain,
% 9.20/6.78 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25563, 25562])).
% 9.20/6.78 tff(25565,plain,
% 9.20/6.78 (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25564, 1025])).
% 9.20/6.78 tff(25566,plain,
% 9.20/6.78 ((v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25567,plain,
% 9.20/6.78 (v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25566, 25408])).
% 9.20/6.78 tff(25568,plain,
% 9.20/6.78 ((~(v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))) | (~v122(constB193)) | (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25569,plain,
% 9.20/6.78 (~v122(constB193)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25568, 25567, 25565])).
% 9.20/6.78 tff(25570,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25571,plain,
% 9.20/6.78 ((v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1))))) <=> (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25572,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))))),
% 9.20/6.78 inference(monotonicity,[status(thm)],[25571])).
% 9.20/6.78 tff(25573,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))))),
% 9.20/6.78 inference(transitivity,[status(thm)],[25572, 25570])).
% 9.20/6.78 tff(25574,plain,
% 9.20/6.78 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)))))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25575,plain,
% 9.20/6.78 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25574, 25573])).
% 9.20/6.78 tff(25576,plain,
% 9.20/6.78 (v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25575, 1133])).
% 9.20/6.78 tff(25577,plain,
% 9.20/6.78 ((v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25578,plain,
% 9.20/6.78 (v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25577, 25408])).
% 9.20/6.78 tff(25579,plain,
% 9.20/6.78 ((~(v121(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0))))) | (~v121(constB193)) | (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex0)))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25580,plain,
% 9.20/6.78 (~v121(constB193)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25579, 25578, 25576])).
% 9.20/6.78 tff(25581,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25582,plain,
% 9.20/6.78 ((v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0))))) <=> (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25583,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))))),
% 9.20/6.78 inference(monotonicity,[status(thm)],[25582])).
% 9.20/6.78 tff(25584,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))))),
% 9.20/6.78 inference(transitivity,[status(thm)],[25583, 25581])).
% 9.20/6.78 tff(25585,plain,
% 9.20/6.78 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)))))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25586,plain,
% 9.20/6.78 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25585, 25584])).
% 9.20/6.78 tff(25587,plain,
% 9.20/6.78 (v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25586, 610])).
% 9.20/6.78 tff(25588,plain,
% 9.20/6.78 ((v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25589,plain,
% 9.20/6.78 (v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25588, 25408])).
% 9.20/6.78 tff(25590,plain,
% 9.20/6.78 ((~(v120(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)))))) | (~v120(constB193)) | (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0))))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25591,plain,
% 9.20/6.78 (~v120(constB193)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25590, 25589, 25587])).
% 9.20/6.78 tff(25592,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B))))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25593,plain,
% 9.20/6.78 ((v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) <=> (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B))))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25594,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))))),
% 9.20/6.78 inference(monotonicity,[status(thm)],[25593])).
% 9.20/6.78 tff(25595,plain,
% 9.20/6.78 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B))))),
% 9.20/6.78 inference(transitivity,[status(thm)],[25594, 25592])).
% 9.20/6.78 tff(25596,plain,
% 9.20/6.78 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B))))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25597,plain,
% 9.20/6.78 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b001(B))))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 9.20/6.78 tff(25598,plain,
% 9.20/6.78 (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | ![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25597, 10951])).
% 9.20/6.78 tff(25599,plain,
% 9.20/6.78 (![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25598, 25591, 25580, 25569, 25558, 25547, 25536])).
% 9.20/6.78 tff(25600,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b001(bitIndex2)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25601,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b001(bitIndex2)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25602,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v130(constB193, bitIndex2) <=> b001(bitIndex2))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25601, 25600])).
% 9.20/6.78 tff(25603,plain,
% 9.20/6.78 (v130(constB193, bitIndex2) <=> b001(bitIndex2)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25602, 648, 25599])).
% 9.20/6.78 tff(25604,plain,
% 9.20/6.78 ((~(v130(constB193, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB193, bitIndex2)) | b001(bitIndex2)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25605,plain,
% 9.20/6.78 ((~(v130(constB193, bitIndex2) <=> b001(bitIndex2))) | (~v130(constB193, bitIndex2))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25604, 9855])).
% 9.20/6.78 tff(25606,plain,
% 9.20/6.78 (~v130(constB193, bitIndex2)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25605, 25603])).
% 9.20/6.78 tff(25607,plain,
% 9.20/6.78 ((~(v127(constB193, bitIndex2) <=> v130(constB193, bitIndex2))) | (~v127(constB193, bitIndex2)) | v130(constB193, bitIndex2)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25608,plain,
% 9.20/6.78 (~v127(constB193, bitIndex2)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25607, 25606, 25530])).
% 9.20/6.78 tff(25609,plain,
% 9.20/6.78 ((~(v129(constB194, bitIndex2) <=> v127(constB193, bitIndex2))) | (~v129(constB194, bitIndex2)) | v127(constB193, bitIndex2)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25610,plain,
% 9.20/6.78 (~v129(constB194, bitIndex2)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25609, 25608, 25522])).
% 9.20/6.78 tff(25611,plain,
% 9.20/6.78 ((~(v90(constB194, bitIndex2) <=> v129(constB194, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25612,plain,
% 9.20/6.78 (~v90(constB194, bitIndex2)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25611, 25610, 25514])).
% 9.20/6.78 tff(25613,plain,
% 9.20/6.78 ((~(v90(constB195, bitIndex2) <=> v90(constB194, bitIndex2))) | (~v90(constB195, bitIndex2)) | v90(constB194, bitIndex2)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25614,plain,
% 9.20/6.78 (~v90(constB195, bitIndex2)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25613, 25612, 652])).
% 9.20/6.78 tff(25615,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25616,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25617,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25616, 25615])).
% 9.20/6.78 tff(25618,plain,
% 9.20/6.78 (v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25617, 9653, 645])).
% 9.20/6.78 tff(25619,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25620,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25621,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex0)) | (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25620, 25619])).
% 9.20/6.78 tff(25622,plain,
% 9.20/6.78 (v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25621, 9653, 25510])).
% 9.20/6.78 tff(25623,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25624,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25625,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex0)) | (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25624, 25623])).
% 9.20/6.78 tff(25626,plain,
% 9.20/6.78 (v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25625, 9653, 25518])).
% 9.20/6.78 tff(25627,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25628,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25629,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex0)) | (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25628, 25627])).
% 9.20/6.78 tff(25630,plain,
% 9.20/6.78 (v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25629, 9653, 25526])).
% 9.20/6.78 tff(25631,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b001(bitIndex0)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25632,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b001(bitIndex0)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25633,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v130(constB193, bitIndex0) <=> b001(bitIndex0))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25632, 25631])).
% 9.20/6.78 tff(25634,plain,
% 9.20/6.78 (v130(constB193, bitIndex0) <=> b001(bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25633, 9653, 25599])).
% 9.20/6.78 tff(25635,plain,
% 9.20/6.78 ((~(v130(constB193, bitIndex0) <=> b001(bitIndex0))) | v130(constB193, bitIndex0) | (~b001(bitIndex0))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25636,plain,
% 9.20/6.78 ((~(v130(constB193, bitIndex0) <=> b001(bitIndex0))) | v130(constB193, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25635, 9889])).
% 9.20/6.78 tff(25637,plain,
% 9.20/6.78 (v130(constB193, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25636, 25634])).
% 9.20/6.78 tff(25638,plain,
% 9.20/6.78 ((~(v127(constB193, bitIndex0) <=> v130(constB193, bitIndex0))) | v127(constB193, bitIndex0) | (~v130(constB193, bitIndex0))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25639,plain,
% 9.20/6.78 (v127(constB193, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25638, 25637, 25630])).
% 9.20/6.78 tff(25640,plain,
% 9.20/6.78 ((~(v129(constB194, bitIndex0) <=> v127(constB193, bitIndex0))) | v129(constB194, bitIndex0) | (~v127(constB193, bitIndex0))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25641,plain,
% 9.20/6.78 (v129(constB194, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25640, 25639, 25626])).
% 9.20/6.78 tff(25642,plain,
% 9.20/6.78 ((~(v90(constB194, bitIndex0) <=> v129(constB194, bitIndex0))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25643,plain,
% 9.20/6.78 (v90(constB194, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25642, 25641, 25622])).
% 9.20/6.78 tff(25644,plain,
% 9.20/6.78 ((~(v90(constB195, bitIndex0) <=> v90(constB194, bitIndex0))) | v90(constB195, bitIndex0) | (~v90(constB194, bitIndex0))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25645,plain,
% 9.20/6.78 (v90(constB195, bitIndex0)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25644, 25643, 25618])).
% 9.20/6.78 tff(25646,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25647,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25648,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB195, B) <=> v90(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25647, 25646])).
% 9.20/6.78 tff(25649,plain,
% 9.20/6.78 (v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25648, 375, 645])).
% 9.20/6.78 tff(25650,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25651,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | ((~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25652,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v90(constB194, B) <=> v129(constB194, B)))) | (~less_3(bitIndex1)) | (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25651, 25650])).
% 9.20/6.78 tff(25653,plain,
% 9.20/6.78 (v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25652, 375, 25510])).
% 9.20/6.78 tff(25654,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25655,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | ((~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25656,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v129(constB194, B) <=> v127(constB193, B)))) | (~less_3(bitIndex1)) | (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25655, 25654])).
% 9.20/6.78 tff(25657,plain,
% 9.20/6.78 (v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25656, 375, 25518])).
% 9.20/6.78 tff(25658,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25659,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | ((~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25660,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v127(constB193, B) <=> v130(constB193, B)))) | (~less_3(bitIndex1)) | (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25659, 25658])).
% 9.20/6.78 tff(25661,plain,
% 9.20/6.78 (v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25660, 375, 25526])).
% 9.20/6.78 tff(25662,plain,
% 9.20/6.78 (((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b001(bitIndex1)))),
% 9.20/6.78 inference(rewrite,[status(thm)],[])).
% 9.20/6.78 tff(25663,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b001(bitIndex1)))),
% 9.20/6.78 inference(quant_inst,[status(thm)],[])).
% 9.20/6.78 tff(25664,plain,
% 9.20/6.78 ((~![B: $i] : ((~less_3(B)) | (v130(constB193, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v130(constB193, bitIndex1) <=> b001(bitIndex1))),
% 9.20/6.78 inference(modus_ponens,[status(thm)],[25663, 25662])).
% 9.20/6.78 tff(25665,plain,
% 9.20/6.78 (v130(constB193, bitIndex1) <=> b001(bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25664, 375, 25599])).
% 9.20/6.78 tff(25666,plain,
% 9.20/6.78 ((~(v130(constB193, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB193, bitIndex1)) | b001(bitIndex1)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25667,plain,
% 9.20/6.78 ((~(v130(constB193, bitIndex1) <=> b001(bitIndex1))) | (~v130(constB193, bitIndex1))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25666, 9923])).
% 9.20/6.78 tff(25668,plain,
% 9.20/6.78 (~v130(constB193, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25667, 25665])).
% 9.20/6.78 tff(25669,plain,
% 9.20/6.78 ((~(v127(constB193, bitIndex1) <=> v130(constB193, bitIndex1))) | (~v127(constB193, bitIndex1)) | v130(constB193, bitIndex1)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25670,plain,
% 9.20/6.78 (~v127(constB193, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25669, 25668, 25661])).
% 9.20/6.78 tff(25671,plain,
% 9.20/6.78 ((~(v129(constB194, bitIndex1) <=> v127(constB193, bitIndex1))) | (~v129(constB194, bitIndex1)) | v127(constB193, bitIndex1)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25672,plain,
% 9.20/6.78 (~v129(constB194, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25671, 25670, 25657])).
% 9.20/6.78 tff(25673,plain,
% 9.20/6.78 ((~(v90(constB194, bitIndex1) <=> v129(constB194, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25674,plain,
% 9.20/6.78 (~v90(constB194, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25673, 25672, 25653])).
% 9.20/6.78 tff(25675,plain,
% 9.20/6.78 ((~(v90(constB195, bitIndex1) <=> v90(constB194, bitIndex1))) | (~v90(constB195, bitIndex1)) | v90(constB194, bitIndex1)),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25676,plain,
% 9.20/6.78 (~v90(constB195, bitIndex1)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25675, 25674, 25649])).
% 9.20/6.78 tff(25677,plain,
% 9.20/6.78 ((~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))) | v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25678,plain,
% 9.20/6.78 (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25677, 25676, 25645, 25614])).
% 9.20/6.78 tff(25679,plain,
% 9.20/6.78 ((~(v120(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))))) | v120(constB195) | (v90(constB195, bitIndex2) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25680,plain,
% 9.20/6.78 (v120(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25679, 25678, 617])).
% 9.20/6.78 tff(25681,plain,
% 9.20/6.78 ((v119(constB195) | v120(constB195)) | (~v120(constB195))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25682,plain,
% 9.20/6.78 (v119(constB195) | v120(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25681, 25680])).
% 9.20/6.78 tff(25683,plain,
% 9.20/6.78 ((~(v118(constB195) <=> (v119(constB195) | v120(constB195)))) | v118(constB195) | (~(v119(constB195) | v120(constB195)))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25684,plain,
% 9.20/6.78 (v118(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25683, 25682, 597])).
% 9.20/6.78 tff(25685,plain,
% 9.20/6.78 ((v118(constB195) | v121(constB195)) | (~v118(constB195))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25686,plain,
% 9.20/6.78 (v118(constB195) | v121(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25685, 25684])).
% 9.20/6.78 tff(25687,plain,
% 9.20/6.78 ((~(v117(constB195) <=> (v118(constB195) | v121(constB195)))) | v117(constB195) | (~(v118(constB195) | v121(constB195)))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25688,plain,
% 9.20/6.78 (v117(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25687, 25686, 588])).
% 9.20/6.78 tff(25689,plain,
% 9.20/6.78 ((v117(constB195) | v122(constB195)) | (~v117(constB195))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25690,plain,
% 9.20/6.78 (v117(constB195) | v122(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25689, 25688])).
% 9.20/6.78 tff(25691,plain,
% 9.20/6.78 ((~(v116(constB195) <=> (v117(constB195) | v122(constB195)))) | v116(constB195) | (~(v117(constB195) | v122(constB195)))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25692,plain,
% 9.20/6.78 (v116(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25691, 25690, 579])).
% 9.20/6.78 tff(25693,plain,
% 9.20/6.78 ((v116(constB195) | v123(constB195)) | (~v116(constB195))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25694,plain,
% 9.20/6.78 (v116(constB195) | v123(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25693, 25692])).
% 9.20/6.78 tff(25695,plain,
% 9.20/6.78 ((~(v115(constB195) <=> (v116(constB195) | v123(constB195)))) | v115(constB195) | (~(v116(constB195) | v123(constB195)))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25696,plain,
% 9.20/6.78 (v115(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25695, 25694, 570])).
% 9.20/6.78 tff(25697,plain,
% 9.20/6.78 ((v115(constB195) | v124(constB195)) | (~v115(constB195))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25698,plain,
% 9.20/6.78 (v115(constB195) | v124(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25697, 25696])).
% 9.20/6.78 tff(25699,plain,
% 9.20/6.78 ((~(v114(constB195) <=> (v115(constB195) | v124(constB195)))) | v114(constB195) | (~(v115(constB195) | v124(constB195)))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25700,plain,
% 9.20/6.78 (v114(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25699, 25698, 561])).
% 9.20/6.78 tff(25701,plain,
% 9.20/6.78 ((v114(constB195) | v125(constB195)) | (~v114(constB195))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25702,plain,
% 9.20/6.78 (v114(constB195) | v125(constB195)),
% 9.20/6.78 inference(unit_resolution,[status(thm)],[25701, 25700])).
% 9.20/6.78 tff(25703,plain,
% 9.20/6.78 ((~(v113(constB195) <=> (v114(constB195) | v125(constB195)))) | v113(constB195) | (~(v114(constB195) | v125(constB195)))),
% 9.20/6.78 inference(tautology,[status(thm)],[])).
% 9.20/6.78 tff(25704,plain,
% 9.20/6.78 (v113(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25703, 25702, 552])).
% 9.20/6.79 tff(25705,plain,
% 9.20/6.79 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB195)) <=> v111(constB195))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25706,plain,
% 9.20/6.79 ((~v126(constB195)) <=> v111(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25705, 9720])).
% 9.20/6.79 tff(25707,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB195) <=> v26(constB195))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25708,plain,
% 9.20/6.79 (v111(constB195) <=> v26(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25707, 9732])).
% 9.20/6.79 tff(25709,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB195))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25710,plain,
% 9.20/6.79 (~v26(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25709, 9744])).
% 9.20/6.79 tff(25711,plain,
% 9.20/6.79 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195)) | v26(constB195)),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25712,plain,
% 9.20/6.79 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25711, 25710])).
% 9.20/6.79 tff(25713,plain,
% 9.20/6.79 (~v111(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25712, 25708])).
% 9.20/6.79 tff(25714,plain,
% 9.20/6.79 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195) | v111(constB195)),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25715,plain,
% 9.20/6.79 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25714, 25713])).
% 9.20/6.79 tff(25716,plain,
% 9.20/6.79 (v126(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25715, 25706])).
% 9.20/6.79 tff(25717,plain,
% 9.20/6.79 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195)) | (~v126(constB195))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25718,plain,
% 9.20/6.79 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25717, 25716])).
% 9.20/6.79 tff(25719,plain,
% 9.20/6.79 (~((~v113(constB195)) | (~v126(constB195)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25718, 25704])).
% 9.20/6.79 tff(25720,plain,
% 9.20/6.79 ((~(v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))) | v112(constB195) | ((~v113(constB195)) | (~v126(constB195)))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25721,plain,
% 9.20/6.79 (v112(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25720, 25719, 543])).
% 9.20/6.79 tff(25722,plain,
% 9.20/6.79 ((v111(constB195) | v112(constB195)) | (~v112(constB195))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25723,plain,
% 9.20/6.79 (v111(constB195) | v112(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25722, 25721])).
% 9.20/6.79 tff(25724,plain,
% 9.20/6.79 ((~(v108(constB195) <=> (v111(constB195) | v112(constB195)))) | v108(constB195) | (~(v111(constB195) | v112(constB195)))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25725,plain,
% 9.20/6.79 (v108(constB195)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25724, 25723, 531])).
% 9.20/6.79 tff(25726,plain,
% 9.20/6.79 ((~(v110(constB196) <=> v108(constB195))) | v110(constB196) | (~v108(constB195))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25727,plain,
% 9.20/6.79 (v110(constB196)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25726, 25725, 522])).
% 9.20/6.79 tff(25728,plain,
% 9.20/6.79 ((~((~v101(constB196)) | (~v110(constB196)))) | (~v101(constB196)) | (~v110(constB196))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25729,plain,
% 9.20/6.79 (~((~v101(constB196)) | (~v110(constB196)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25728, 25727, 508])).
% 9.20/6.79 tff(25730,plain,
% 9.20/6.79 ((~(v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))) | v100(constB196) | ((~v101(constB196)) | (~v110(constB196)))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25731,plain,
% 9.20/6.79 (v100(constB196)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25730, 25729, 457])).
% 9.20/6.79 tff(25732,plain,
% 9.20/6.79 (((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25733,plain,
% 9.20/6.79 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | ((~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B))))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25734,plain,
% 9.20/6.79 ((~![VarNext: $i] : ((~v100(VarNext)) | ![B: $i] : ((~less_3(B)) | (v90(VarNext, B) <=> v129(VarNext, B))))) | (~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25733, 25732])).
% 9.20/6.79 tff(25735,plain,
% 9.20/6.79 ((~v100(constB196)) | ![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25734, 9780])).
% 9.20/6.79 tff(25736,plain,
% 9.20/6.79 (![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25735, 25731])).
% 9.20/6.79 tff(25737,plain,
% 9.20/6.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex1)) | (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex1)) | (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25738,plain,
% 9.20/6.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex1)) | (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25739,plain,
% 9.20/6.79 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex1)) | (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25738, 25737])).
% 9.20/6.79 tff(25740,plain,
% 9.20/6.79 (v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25739, 375, 25736])).
% 9.20/6.79 tff(25741,plain,
% 9.20/6.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB195, constB196)) | ![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB195, constB196)) | ![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25742,plain,
% 9.20/6.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | ((~nextState(constB195, constB196)) | ![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B))))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25743,plain,
% 9.20/6.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v129(VarNext, B) <=> v127(VarCurr, B))))) | (~nextState(constB195, constB196)) | ![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 9.20/6.79 tff(25744,plain,
% 9.20/6.79 (![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25743, 453, 9802])).
% 9.20/6.79 tff(25745,plain,
% 9.20/6.79 (((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex1)) | (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex1)) | (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25746,plain,
% 9.20/6.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex1)) | (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25747,plain,
% 9.20/6.79 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex1)) | (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25746, 25745])).
% 9.20/6.79 tff(25748,plain,
% 9.20/6.79 (v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25747, 375, 25744])).
% 9.20/6.79 tff(25749,plain,
% 9.20/6.79 (((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB195) | ![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB195) | ![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25750,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | (v111(constB195) | ![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B))))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25751,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v111(VarCurr) | ![B: $i] : ((~less_3(B)) | (v127(VarCurr, B) <=> v130(VarCurr, B))))) | v111(constB195) | ![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25750, 25749])).
% 9.20/6.79 tff(25752,plain,
% 9.20/6.79 (![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25751, 9823, 25713])).
% 9.20/6.79 tff(25753,plain,
% 9.20/6.79 (((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex1)) | (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex1)) | (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25754,plain,
% 9.20/6.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex1)) | (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25755,plain,
% 9.20/6.79 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex1)) | (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25754, 25753])).
% 9.20/6.79 tff(25756,plain,
% 9.20/6.79 (v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25755, 375, 25752])).
% 9.20/6.79 tff(25757,plain,
% 9.20/6.79 (((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB195)) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB195)) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25758,plain,
% 9.20/6.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | ((~v120(constB195)) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B))))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25759,plain,
% 9.20/6.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v130(VarCurr, B) <=> b010(B))))) | (~v120(constB195)) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25758, 25757])).
% 9.20/6.79 tff(25760,plain,
% 9.20/6.79 ((~v120(constB195)) | ![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25759, 10027])).
% 9.20/6.79 tff(25761,plain,
% 9.20/6.79 (![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25760, 25680])).
% 9.20/6.79 tff(25762,plain,
% 9.20/6.79 (((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB195, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB195, bitIndex1) <=> b010(bitIndex1)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25763,plain,
% 9.20/6.79 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v130(constB195, bitIndex1) <=> b010(bitIndex1)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25764,plain,
% 9.20/6.79 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v130(constB195, bitIndex1) <=> b010(bitIndex1))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25763, 25762])).
% 9.20/6.79 tff(25765,plain,
% 9.20/6.79 (v130(constB195, bitIndex1) <=> b010(bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25764, 375, 25761])).
% 9.20/6.79 tff(25766,plain,
% 9.20/6.79 ((~(v130(constB195, bitIndex1) <=> b010(bitIndex1))) | v130(constB195, bitIndex1) | (~b010(bitIndex1))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25767,plain,
% 9.20/6.79 ((~(v130(constB195, bitIndex1) <=> b010(bitIndex1))) | v130(constB195, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25766, 10107])).
% 9.20/6.79 tff(25768,plain,
% 9.20/6.79 (v130(constB195, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25767, 25765])).
% 9.20/6.79 tff(25769,plain,
% 9.20/6.79 ((~(v127(constB195, bitIndex1) <=> v130(constB195, bitIndex1))) | v127(constB195, bitIndex1) | (~v130(constB195, bitIndex1))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25770,plain,
% 9.20/6.79 (v127(constB195, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25769, 25768, 25756])).
% 9.20/6.79 tff(25771,plain,
% 9.20/6.79 ((~(v129(constB196, bitIndex1) <=> v127(constB195, bitIndex1))) | v129(constB196, bitIndex1) | (~v127(constB195, bitIndex1))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25772,plain,
% 9.20/6.79 (v129(constB196, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25771, 25770, 25748])).
% 9.20/6.79 tff(25773,plain,
% 9.20/6.79 ((~(v90(constB196, bitIndex1) <=> v129(constB196, bitIndex1))) | v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25774,plain,
% 9.20/6.79 (v90(constB196, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25773, 25772, 25740])).
% 9.20/6.79 tff(25775,plain,
% 9.20/6.79 ((~(v90(constB197, bitIndex1) <=> v90(constB196, bitIndex1))) | v90(constB197, bitIndex1) | (~v90(constB196, bitIndex1))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25776,plain,
% 9.20/6.79 (v90(constB197, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25775, 25774, 450])).
% 9.20/6.79 tff(25777,plain,
% 9.20/6.79 ((~(v88(constB197, bitIndex1) <=> v90(constB197, bitIndex1))) | v88(constB197, bitIndex1) | (~v90(constB197, bitIndex1))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25778,plain,
% 9.20/6.79 (v88(constB197, bitIndex1)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25777, 25776, 379])).
% 9.20/6.79 tff(25779,plain,
% 9.20/6.79 ((v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2)) | (~v88(constB197, bitIndex1))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25780,plain,
% 9.20/6.79 (v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25779, 25778])).
% 9.20/6.79 tff(25781,plain,
% 9.20/6.79 ((~(v139(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2))))) | (~v139(constB197)) | (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2)))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25782,plain,
% 9.20/6.79 (~v139(constB197)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25781, 25780, 362])).
% 9.20/6.79 tff(25783,plain,
% 9.20/6.79 (^[VarCurr: $i] : refl((v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))) <=> (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25784,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25783])).
% 9.20/6.79 tff(25785,plain,
% 9.20/6.79 (^[VarCurr: $i] : rewrite((v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25786,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25785])).
% 9.20/6.79 tff(25787,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25788,plain,
% 9.20/6.79 (^[VarCurr: $i] : rewrite((v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25789,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25788])).
% 9.20/6.79 tff(25790,axiom,(![VarCurr: $i] : (v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10')).
% 9.20/6.79 tff(25791,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25790, 25789])).
% 9.20/6.79 tff(25792,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25791, 25787])).
% 9.20/6.79 tff(25793,plain,(
% 9.20/6.79 ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 9.20/6.79 inference(skolemize,[status(sab)],[25792])).
% 9.20/6.79 tff(25794,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25793, 25786])).
% 9.20/6.79 tff(25795,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25794, 25784])).
% 9.20/6.79 tff(25796,plain,
% 9.20/6.79 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0))))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25797,plain,
% 9.20/6.79 ((v140(constB197) <=> (~(v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0))))) <=> (v140(constB197) <=> (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0)))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25798,plain,
% 9.20/6.79 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0))))))),
% 9.20/6.79 inference(monotonicity,[status(thm)],[25797])).
% 9.20/6.79 tff(25799,plain,
% 9.20/6.79 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0))))))),
% 9.20/6.79 inference(transitivity,[status(thm)],[25798, 25796])).
% 9.20/6.79 tff(25800,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0)))))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25801,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0)))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 9.20/6.79 tff(25802,plain,
% 9.20/6.79 (v140(constB197) <=> (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0))))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25801, 25795])).
% 9.20/6.79 tff(25803,plain,
% 9.20/6.79 ((v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0))) | (~v88(constB197, bitIndex1))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25804,plain,
% 9.20/6.79 (v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25803, 25778])).
% 9.20/6.79 tff(25805,plain,
% 9.20/6.79 ((~(v140(constB197) <=> (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0)))))) | (~v140(constB197)) | (~(v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0))))),
% 9.20/6.79 inference(tautology,[status(thm)],[])).
% 9.20/6.79 tff(25806,plain,
% 9.20/6.79 (~v140(constB197)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25805, 25804, 25802])).
% 9.20/6.79 tff(25807,plain,
% 9.20/6.79 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25808,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25807])).
% 9.20/6.79 tff(25809,plain,
% 9.20/6.79 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v139(VarCurr)) & (~v140(VarCurr))) <=> (~(v139(VarCurr) | v140(VarCurr)))), ((~((~v139(VarCurr)) & (~v140(VarCurr)))) <=> (~(~(v139(VarCurr) | v140(VarCurr)))))), rewrite((~(~(v139(VarCurr) | v140(VarCurr)))) <=> (v139(VarCurr) | v140(VarCurr))), ((~((~v139(VarCurr)) & (~v140(VarCurr)))) <=> (v139(VarCurr) | v140(VarCurr)))), (((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ((~v168(VarCurr)) | (v139(VarCurr) | v140(VarCurr))))), rewrite(((~v168(VarCurr)) | (v139(VarCurr) | v140(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))), (((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25810,plain,
% 9.20/6.79 (![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25809])).
% 9.20/6.79 tff(25811,plain,
% 9.20/6.79 (![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25812,plain,
% 9.20/6.79 (^[VarCurr: $i] : trans(monotonicity(rewrite((v168(VarCurr) <=> $false) <=> (~v168(VarCurr))), ((((~v139(VarCurr)) & (~v140(VarCurr))) => (v168(VarCurr) <=> $false)) <=> (((~v139(VarCurr)) & (~v140(VarCurr))) => (~v168(VarCurr))))), rewrite((((~v139(VarCurr)) & (~v140(VarCurr))) => (~v168(VarCurr))) <=> ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))), ((((~v139(VarCurr)) & (~v140(VarCurr))) => (v168(VarCurr) <=> $false)) <=> ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25813,plain,
% 9.20/6.79 (![VarCurr: $i] : (((~v139(VarCurr)) & (~v140(VarCurr))) => (v168(VarCurr) <=> $false)) <=> ![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25812])).
% 9.20/6.79 tff(25814,axiom,(![VarCurr: $i] : (((~v139(VarCurr)) & (~v140(VarCurr))) => (v168(VarCurr) <=> $false))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2')).
% 9.20/6.79 tff(25815,plain,
% 9.20/6.79 (![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25814, 25813])).
% 9.20/6.79 tff(25816,plain,
% 9.20/6.79 (![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25815, 25811])).
% 9.20/6.79 tff(25817,plain,(
% 9.20/6.79 ![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 9.20/6.79 inference(skolemize,[status(sab)],[25816])).
% 9.20/6.79 tff(25818,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25817, 25810])).
% 9.20/6.79 tff(25819,plain,
% 9.20/6.79 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25818, 25808])).
% 9.20/6.79 tff(25820,plain,
% 9.20/6.79 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB197) | v139(constB197) | (~v168(constB197)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB197) | v139(constB197) | (~v168(constB197)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25821,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB197) | v139(constB197) | (~v168(constB197)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25822,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB197) | v139(constB197) | (~v168(constB197))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25821, 25820])).
% 9.20/6.79 tff(25823,plain,
% 9.20/6.79 (v140(constB197) | v139(constB197) | (~v168(constB197))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25822, 25819])).
% 9.20/6.79 tff(25824,plain,
% 9.20/6.79 (~v168(constB197)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25823, 25806, 25782])).
% 9.20/6.79 tff(25825,plain,
% 9.20/6.79 (^[VarCurr: $i] : refl((v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))) <=> (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25826,plain,
% 9.20/6.79 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25825])).
% 9.20/6.79 tff(25827,plain,
% 9.20/6.79 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25828,plain,
% 9.20/6.79 (^[VarCurr: $i] : rewrite((v164(VarCurr) <=> (v165(VarCurr) | v145(VarCurr))) <=> (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25829,plain,
% 9.20/6.79 (![VarCurr: $i] : (v164(VarCurr) <=> (v165(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25828])).
% 9.20/6.79 tff(25830,axiom,(![VarCurr: $i] : (v164(VarCurr) <=> (v165(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_39')).
% 9.20/6.79 tff(25831,plain,
% 9.20/6.79 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25830, 25829])).
% 9.20/6.79 tff(25832,plain,
% 9.20/6.79 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25831, 25827])).
% 9.20/6.79 tff(25833,plain,(
% 9.20/6.79 ![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 9.20/6.79 inference(skolemize,[status(sab)],[25832])).
% 9.20/6.79 tff(25834,plain,
% 9.20/6.79 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25833, 25826])).
% 9.20/6.79 tff(25835,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB197) <=> (v145(constB197) | v165(constB197)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25836,plain,
% 9.20/6.79 (v164(constB197) <=> (v145(constB197) | v165(constB197))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25835, 25834])).
% 9.20/6.79 tff(25837,plain,
% 9.20/6.79 (^[VarCurr: $i] : refl((v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))) <=> (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25838,plain,
% 9.20/6.79 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25837])).
% 9.20/6.79 tff(25839,plain,
% 9.20/6.79 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25840,plain,
% 9.20/6.79 (^[VarCurr: $i] : rewrite((v165(VarCurr) <=> (v166(VarCurr) | v142(VarCurr))) <=> (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25841,plain,
% 9.20/6.79 (![VarCurr: $i] : (v165(VarCurr) <=> (v166(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25840])).
% 9.20/6.79 tff(25842,axiom,(![VarCurr: $i] : (v165(VarCurr) <=> (v166(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_38')).
% 9.20/6.79 tff(25843,plain,
% 9.20/6.79 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25842, 25841])).
% 9.20/6.79 tff(25844,plain,
% 9.20/6.79 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25843, 25839])).
% 9.20/6.79 tff(25845,plain,(
% 9.20/6.79 ![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 9.20/6.79 inference(skolemize,[status(sab)],[25844])).
% 9.20/6.79 tff(25846,plain,
% 9.20/6.79 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25845, 25838])).
% 9.20/6.79 tff(25847,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB197) <=> (v142(constB197) | v166(constB197)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25848,plain,
% 9.20/6.79 (v165(constB197) <=> (v142(constB197) | v166(constB197))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25847, 25846])).
% 9.20/6.79 tff(25849,plain,
% 9.20/6.79 (^[VarCurr: $i] : refl((v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25850,plain,
% 9.20/6.79 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25849])).
% 9.20/6.79 tff(25851,plain,
% 9.20/6.79 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25852,axiom,(![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_30')).
% 9.20/6.79 tff(25853,plain,
% 9.20/6.79 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25852, 25851])).
% 9.20/6.79 tff(25854,plain,(
% 9.20/6.79 ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 9.20/6.79 inference(skolemize,[status(sab)],[25853])).
% 9.20/6.79 tff(25855,plain,
% 9.20/6.79 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25854, 25850])).
% 9.20/6.79 tff(25856,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB197) <=> (v143(constB197) | v144(constB197)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25857,plain,
% 9.20/6.79 (v142(constB197) <=> (v143(constB197) | v144(constB197))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25856, 25855])).
% 9.20/6.79 tff(25858,plain,
% 9.20/6.79 (^[VarCurr: $i] : refl((v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))) <=> (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25859,plain,
% 9.20/6.79 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25858])).
% 9.20/6.79 tff(25860,plain,
% 9.20/6.79 (^[VarCurr: $i] : rewrite((v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25861,plain,
% 9.20/6.79 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25860])).
% 9.20/6.79 tff(25862,plain,
% 9.20/6.79 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25863,plain,
% 9.20/6.79 (^[VarCurr: $i] : rewrite((v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.79 inference(bind,[status(th)],[])).
% 9.20/6.79 tff(25864,plain,
% 9.20/6.79 (![VarCurr: $i] : (v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.79 inference(quant_intro,[status(thm)],[25863])).
% 9.20/6.79 tff(25865,axiom,(![VarCurr: $i] : (v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12')).
% 9.20/6.79 tff(25866,plain,
% 9.20/6.79 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25865, 25864])).
% 9.20/6.79 tff(25867,plain,
% 9.20/6.79 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25866, 25862])).
% 9.20/6.79 tff(25868,plain,(
% 9.20/6.79 ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.79 inference(skolemize,[status(sab)],[25867])).
% 9.20/6.79 tff(25869,plain,
% 9.20/6.79 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25868, 25861])).
% 9.20/6.79 tff(25870,plain,
% 9.20/6.79 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25869, 25859])).
% 9.20/6.79 tff(25871,plain,
% 9.20/6.79 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0)))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25872,plain,
% 9.20/6.79 ((v143(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1))))) <=> (v143(constB197) <=> (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0))))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25873,plain,
% 9.20/6.79 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0)))))),
% 9.20/6.79 inference(monotonicity,[status(thm)],[25872])).
% 9.20/6.79 tff(25874,plain,
% 9.20/6.79 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0)))))),
% 9.20/6.79 inference(transitivity,[status(thm)],[25873, 25871])).
% 9.20/6.79 tff(25875,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)))))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25876,plain,
% 9.20/6.79 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0))))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25875, 25874])).
% 9.20/6.79 tff(25877,plain,
% 9.20/6.79 (v143(constB197) <=> (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0)))),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25876, 25870])).
% 9.20/6.79 tff(25878,plain,
% 9.20/6.79 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB197, bitIndex2) <=> v90(constB197, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB197, bitIndex2) <=> v90(constB197, bitIndex2)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.79 tff(25879,plain,
% 9.20/6.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB197, bitIndex2) <=> v90(constB197, bitIndex2)))),
% 9.20/6.79 inference(quant_inst,[status(thm)],[])).
% 9.20/6.79 tff(25880,plain,
% 9.20/6.79 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB197, bitIndex2) <=> v90(constB197, bitIndex2))),
% 9.20/6.79 inference(modus_ponens,[status(thm)],[25879, 25878])).
% 9.20/6.79 tff(25881,plain,
% 9.20/6.79 (v88(constB197, bitIndex2) <=> v90(constB197, bitIndex2)),
% 9.20/6.79 inference(unit_resolution,[status(thm)],[25880, 648, 372])).
% 9.20/6.79 tff(25882,plain,
% 9.20/6.79 (((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex2)) | (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex2)) | (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2)))),
% 9.20/6.79 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25883,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex2)) | (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25884,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex2)) | (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25883, 25882])).
% 9.20/6.80 tff(25885,plain,
% 9.20/6.80 (v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25884, 648, 446])).
% 9.20/6.80 tff(25886,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex2)) | (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex2)) | (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25887,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex2)) | (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25888,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex2)) | (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25887, 25886])).
% 9.20/6.80 tff(25889,plain,
% 9.20/6.80 (v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25888, 648, 25736])).
% 9.20/6.80 tff(25890,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex2)) | (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex2)) | (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25891,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex2)) | (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25892,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex2)) | (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25891, 25890])).
% 9.20/6.80 tff(25893,plain,
% 9.20/6.80 (v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25892, 648, 25744])).
% 9.20/6.80 tff(25894,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex2)) | (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex2)) | (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25895,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex2)) | (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25896,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex2)) | (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25895, 25894])).
% 9.20/6.80 tff(25897,plain,
% 9.20/6.80 (v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25896, 648, 25752])).
% 9.20/6.80 tff(25898,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB195, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB195, bitIndex2) <=> b010(bitIndex2)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25899,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v130(constB195, bitIndex2) <=> b010(bitIndex2)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25900,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v130(constB195, bitIndex2) <=> b010(bitIndex2))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25899, 25898])).
% 9.20/6.80 tff(25901,plain,
% 9.20/6.80 (v130(constB195, bitIndex2) <=> b010(bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25900, 648, 25761])).
% 9.20/6.80 tff(25902,plain,
% 9.20/6.80 ((~(v130(constB195, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB195, bitIndex2)) | b010(bitIndex2)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25903,plain,
% 9.20/6.80 ((~(v130(constB195, bitIndex2) <=> b010(bitIndex2))) | (~v130(constB195, bitIndex2))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25902, 10039])).
% 9.20/6.80 tff(25904,plain,
% 9.20/6.80 (~v130(constB195, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25903, 25901])).
% 9.20/6.80 tff(25905,plain,
% 9.20/6.80 ((~(v127(constB195, bitIndex2) <=> v130(constB195, bitIndex2))) | (~v127(constB195, bitIndex2)) | v130(constB195, bitIndex2)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25906,plain,
% 9.20/6.80 (~v127(constB195, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25905, 25904, 25897])).
% 9.20/6.80 tff(25907,plain,
% 9.20/6.80 ((~(v129(constB196, bitIndex2) <=> v127(constB195, bitIndex2))) | (~v129(constB196, bitIndex2)) | v127(constB195, bitIndex2)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25908,plain,
% 9.20/6.80 (~v129(constB196, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25907, 25906, 25893])).
% 9.20/6.80 tff(25909,plain,
% 9.20/6.80 ((~(v90(constB196, bitIndex2) <=> v129(constB196, bitIndex2))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25910,plain,
% 9.20/6.80 (~v90(constB196, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25909, 25908, 25889])).
% 9.20/6.80 tff(25911,plain,
% 9.20/6.80 ((~(v90(constB197, bitIndex2) <=> v90(constB196, bitIndex2))) | (~v90(constB197, bitIndex2)) | v90(constB196, bitIndex2)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25912,plain,
% 9.20/6.80 (~v90(constB197, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25911, 25910, 25885])).
% 9.20/6.80 tff(25913,plain,
% 9.20/6.80 ((~(v88(constB197, bitIndex2) <=> v90(constB197, bitIndex2))) | (~v88(constB197, bitIndex2)) | v90(constB197, bitIndex2)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25914,plain,
% 9.20/6.80 (~v88(constB197, bitIndex2)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25913, 25912, 25881])).
% 9.20/6.80 tff(25915,plain,
% 9.20/6.80 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB197, bitIndex0) <=> v90(constB197, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB197, bitIndex0) <=> v90(constB197, bitIndex0)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25916,plain,
% 9.20/6.80 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB197, bitIndex0) <=> v90(constB197, bitIndex0)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25917,plain,
% 9.20/6.80 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB197, bitIndex0) <=> v90(constB197, bitIndex0))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25916, 25915])).
% 9.20/6.80 tff(25918,plain,
% 9.20/6.80 (v88(constB197, bitIndex0) <=> v90(constB197, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25917, 9653, 372])).
% 9.20/6.80 tff(25919,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex0)) | (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex0)) | (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25920,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | ((~less_3(bitIndex0)) | (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25921,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB197, B) <=> v90(constB196, B)))) | (~less_3(bitIndex0)) | (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25920, 25919])).
% 9.20/6.80 tff(25922,plain,
% 9.20/6.80 (v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25921, 9653, 446])).
% 9.20/6.80 tff(25923,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex0)) | (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex0)) | (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25924,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | ((~less_3(bitIndex0)) | (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25925,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v90(constB196, B) <=> v129(constB196, B)))) | (~less_3(bitIndex0)) | (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25924, 25923])).
% 9.20/6.80 tff(25926,plain,
% 9.20/6.80 (v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25925, 9653, 25736])).
% 9.20/6.80 tff(25927,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex0)) | (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex0)) | (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25928,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | ((~less_3(bitIndex0)) | (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25929,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v129(constB196, B) <=> v127(constB195, B)))) | (~less_3(bitIndex0)) | (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 9.20/6.80 tff(25930,plain,
% 9.20/6.80 (v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25929, 9653, 25744])).
% 9.20/6.80 tff(25931,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex0)) | (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex0)) | (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25932,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | ((~less_3(bitIndex0)) | (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25933,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v127(constB195, B) <=> v130(constB195, B)))) | (~less_3(bitIndex0)) | (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25932, 25931])).
% 9.20/6.80 tff(25934,plain,
% 9.20/6.80 (v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25933, 9653, 25752])).
% 9.20/6.80 tff(25935,plain,
% 9.20/6.80 (((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB195, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB195, bitIndex0) <=> b010(bitIndex0)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25936,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v130(constB195, bitIndex0) <=> b010(bitIndex0)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25937,plain,
% 9.20/6.80 ((~![B: $i] : ((~less_3(B)) | (v130(constB195, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v130(constB195, bitIndex0) <=> b010(bitIndex0))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25936, 25935])).
% 9.20/6.80 tff(25938,plain,
% 9.20/6.80 (v130(constB195, bitIndex0) <=> b010(bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25937, 9653, 25761])).
% 9.20/6.80 tff(25939,plain,
% 9.20/6.80 ((~(v130(constB195, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB195, bitIndex0)) | b010(bitIndex0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25940,plain,
% 9.20/6.80 ((~(v130(constB195, bitIndex0) <=> b010(bitIndex0))) | (~v130(constB195, bitIndex0))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25939, 10073])).
% 9.20/6.80 tff(25941,plain,
% 9.20/6.80 (~v130(constB195, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25940, 25938])).
% 9.20/6.80 tff(25942,plain,
% 9.20/6.80 ((~(v127(constB195, bitIndex0) <=> v130(constB195, bitIndex0))) | (~v127(constB195, bitIndex0)) | v130(constB195, bitIndex0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25943,plain,
% 9.20/6.80 (~v127(constB195, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25942, 25941, 25934])).
% 9.20/6.80 tff(25944,plain,
% 9.20/6.80 ((~(v129(constB196, bitIndex0) <=> v127(constB195, bitIndex0))) | (~v129(constB196, bitIndex0)) | v127(constB195, bitIndex0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25945,plain,
% 9.20/6.80 (~v129(constB196, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25944, 25943, 25930])).
% 9.20/6.80 tff(25946,plain,
% 9.20/6.80 ((~(v90(constB196, bitIndex0) <=> v129(constB196, bitIndex0))) | (~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25947,plain,
% 9.20/6.80 (~v90(constB196, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25946, 25945, 25926])).
% 9.20/6.80 tff(25948,plain,
% 9.20/6.80 ((~(v90(constB197, bitIndex0) <=> v90(constB196, bitIndex0))) | (~v90(constB197, bitIndex0)) | v90(constB196, bitIndex0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25949,plain,
% 9.20/6.80 (~v90(constB197, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25948, 25947, 25922])).
% 9.20/6.80 tff(25950,plain,
% 9.20/6.80 ((~(v88(constB197, bitIndex0) <=> v90(constB197, bitIndex0))) | (~v88(constB197, bitIndex0)) | v90(constB197, bitIndex0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25951,plain,
% 9.20/6.80 (~v88(constB197, bitIndex0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25950, 25949, 25918])).
% 9.20/6.80 tff(25952,plain,
% 9.20/6.80 ((~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0))) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25953,plain,
% 9.20/6.80 (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25952, 25778, 25951, 25914])).
% 9.20/6.80 tff(25954,plain,
% 9.20/6.80 ((~(v143(constB197) <=> (~(v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0))))) | v143(constB197) | (v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex0))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25955,plain,
% 9.20/6.80 (v143(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25954, 25953, 25877])).
% 9.20/6.80 tff(25956,plain,
% 9.20/6.80 ((v143(constB197) | v144(constB197)) | (~v143(constB197))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25957,plain,
% 9.20/6.80 (v143(constB197) | v144(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25956, 25955])).
% 9.20/6.80 tff(25958,plain,
% 9.20/6.80 ((~(v142(constB197) <=> (v143(constB197) | v144(constB197)))) | v142(constB197) | (~(v143(constB197) | v144(constB197)))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25959,plain,
% 9.20/6.80 (v142(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25958, 25957, 25857])).
% 9.20/6.80 tff(25960,plain,
% 9.20/6.80 ((v142(constB197) | v166(constB197)) | (~v142(constB197))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25961,plain,
% 9.20/6.80 (v142(constB197) | v166(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25960, 25959])).
% 9.20/6.80 tff(25962,plain,
% 9.20/6.80 ((~(v165(constB197) <=> (v142(constB197) | v166(constB197)))) | v165(constB197) | (~(v142(constB197) | v166(constB197)))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25963,plain,
% 9.20/6.80 (v165(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25962, 25961, 25848])).
% 9.20/6.80 tff(25964,plain,
% 9.20/6.80 ((v145(constB197) | v165(constB197)) | (~v165(constB197))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25965,plain,
% 9.20/6.80 (v145(constB197) | v165(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25964, 25963])).
% 9.20/6.80 tff(25966,plain,
% 9.20/6.80 ((~(v164(constB197) <=> (v145(constB197) | v165(constB197)))) | v164(constB197) | (~(v145(constB197) | v165(constB197)))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25967,plain,
% 9.20/6.80 (v164(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25966, 25965, 25836])).
% 9.20/6.80 tff(25968,plain,
% 9.20/6.80 (^[VarNext: $i] : refl(((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))) <=> ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(25969,plain,
% 9.20/6.80 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))) <=> ![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[25968])).
% 9.20/6.80 tff(25970,plain,
% 9.20/6.80 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))) <=> ![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25971,plain,
% 9.20/6.80 (^[VarNext: $i] : rewrite((v164(VarNext) => (v161(VarNext) <=> v168(VarNext))) <=> ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(25972,plain,
% 9.20/6.80 (![VarNext: $i] : (v164(VarNext) => (v161(VarNext) <=> v168(VarNext))) <=> ![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[25971])).
% 9.20/6.80 tff(25973,axiom,(![VarNext: $i] : (v164(VarNext) => (v161(VarNext) <=> v168(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5')).
% 9.20/6.80 tff(25974,plain,
% 9.20/6.80 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25973, 25972])).
% 9.20/6.80 tff(25975,plain,
% 9.20/6.80 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25974, 25970])).
% 9.20/6.80 tff(25976,plain,(
% 9.20/6.80 ![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 9.20/6.80 inference(skolemize,[status(sab)],[25975])).
% 9.20/6.80 tff(25977,plain,
% 9.20/6.80 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25976, 25969])).
% 9.20/6.80 tff(25978,plain,
% 9.20/6.80 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB197)) | (v161(constB197) <=> v168(constB197)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB197)) | (v161(constB197) <=> v168(constB197)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(25979,plain,
% 9.20/6.80 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB197)) | (v161(constB197) <=> v168(constB197)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(25980,plain,
% 9.20/6.80 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB197)) | (v161(constB197) <=> v168(constB197))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[25979, 25978])).
% 9.20/6.80 tff(25981,plain,
% 9.20/6.80 ((~v164(constB197)) | (v161(constB197) <=> v168(constB197))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25980, 25977])).
% 9.20/6.80 tff(25982,plain,
% 9.20/6.80 (v161(constB197) <=> v168(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25981, 25967])).
% 9.20/6.80 tff(25983,plain,
% 9.20/6.80 ((~(v161(constB197) <=> v168(constB197))) | (~v161(constB197)) | v168(constB197)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25984,plain,
% 9.20/6.80 (~v161(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25983, 25982, 25824])).
% 9.20/6.80 tff(25985,plain,
% 9.20/6.80 ((~(v159(constB197) <=> v161(constB197))) | (~v159(constB197)) | v161(constB197)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25986,plain,
% 9.20/6.80 ((~(v159(constB197) <=> v161(constB197))) | (~v159(constB197))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25985, 25984])).
% 9.20/6.80 tff(25987,plain,
% 9.20/6.80 (~v159(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25986, 347])).
% 9.20/6.80 tff(25988,plain,
% 9.20/6.80 (((~v184(constB197)) | (~v159(constB197))) | v159(constB197)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25989,plain,
% 9.20/6.80 ((~v184(constB197)) | (~v159(constB197))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25988, 25987])).
% 9.20/6.80 tff(25990,plain,
% 9.20/6.80 ((~(v187(constB197) <=> (~((~v184(constB197)) | (~v159(constB197)))))) | (~v187(constB197)) | (~((~v184(constB197)) | (~v159(constB197))))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25991,plain,
% 9.20/6.80 (~v187(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25990, 25989, 338])).
% 9.20/6.80 tff(25992,plain,
% 9.20/6.80 (((~v186(constB197)) | (~v187(constB197))) | v187(constB197)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25993,plain,
% 9.20/6.80 ((~v186(constB197)) | (~v187(constB197))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25992, 25991])).
% 9.20/6.80 tff(25994,plain,
% 9.20/6.80 ((~(v185(constB197) <=> (~((~v186(constB197)) | (~v187(constB197)))))) | (~v185(constB197)) | (~((~v186(constB197)) | (~v187(constB197))))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25995,plain,
% 9.20/6.80 (~v185(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25994, 25993, 336])).
% 9.20/6.80 tff(25996,plain,
% 9.20/6.80 ((~(v181(constB197) | v185(constB197))) | v181(constB197) | v185(constB197)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25997,plain,
% 9.20/6.80 (~(v181(constB197) | v185(constB197))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25996, 25995, 334])).
% 9.20/6.80 tff(25998,plain,
% 9.20/6.80 ((~(v178(constB197) <=> (v181(constB197) | v185(constB197)))) | (~v178(constB197)) | (v181(constB197) | v185(constB197))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(25999,plain,
% 9.20/6.80 (~v178(constB197)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[25998, 25997, 179])).
% 9.20/6.80 tff(26000,plain,
% 9.20/6.80 ((~(v180(constB198) <=> v178(constB197))) | (~v180(constB198)) | v178(constB197)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26001,plain,
% 9.20/6.80 (~v180(constB198)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26000, 25999, 177])).
% 9.20/6.80 tff(26002,plain,
% 9.20/6.80 ((~(v157(constB198) <=> v180(constB198))) | (~v157(constB198)) | v180(constB198)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26003,plain,
% 9.20/6.80 (~v157(constB198)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26002, 26001, 170])).
% 9.20/6.80 tff(26004,plain,
% 9.20/6.80 (((~v157(constB198)) | (~v182(constB198))) | v157(constB198)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26005,plain,
% 9.20/6.80 ((~v157(constB198)) | (~v182(constB198))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26004, 26003])).
% 9.20/6.80 tff(26006,plain,
% 9.20/6.80 ((~(v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198)))))) | (~v181(constB198)) | (~((~v157(constB198)) | (~v182(constB198))))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26007,plain,
% 9.20/6.80 (~v181(constB198)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26006, 26005, 168])).
% 9.20/6.80 tff(26008,plain,
% 9.20/6.80 ((~(v181(constB198) | v185(constB198))) | v181(constB198) | v185(constB198)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26009,plain,
% 9.20/6.80 (~(v181(constB198) | v185(constB198))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26008, 26007, 151])).
% 9.20/6.80 tff(26010,plain,
% 9.20/6.80 ((~(v178(constB198) <=> (v181(constB198) | v185(constB198)))) | (~v178(constB198)) | (v181(constB198) | v185(constB198))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26011,plain,
% 9.20/6.80 (~v178(constB198)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26010, 26009, 86])).
% 9.20/6.80 tff(26012,plain,
% 9.20/6.80 ((~(v180(constB199) <=> v178(constB198))) | (~v180(constB199)) | v178(constB198)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26013,plain,
% 9.20/6.80 (~v180(constB199)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26012, 26011, 77])).
% 9.20/6.80 tff(26014,plain,
% 9.20/6.80 ($false),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26013, 60])).
% 9.20/6.80 tff(26015,plain,(~(constB199 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/6.80 tff(26016,assumption,(constB169 = VarCurr!0), introduced(assumption)).
% 9.20/6.80 tff(26017,plain,
% 9.20/6.80 (v86(constB169) <=> v86(VarCurr!0)),
% 9.20/6.80 inference(monotonicity,[status(thm)],[26016])).
% 9.20/6.80 tff(26018,plain,
% 9.20/6.80 (v86(VarCurr!0) <=> v86(constB169)),
% 9.20/6.80 inference(symmetry,[status(thm)],[26017])).
% 9.20/6.80 tff(26019,plain,
% 9.20/6.80 ((~v86(VarCurr!0)) <=> (~v86(constB169))),
% 9.20/6.80 inference(monotonicity,[status(thm)],[26018])).
% 9.20/6.80 tff(26020,plain,
% 9.20/6.80 (^[VarCurr: $i] : refl((v84(VarCurr) <=> v86(VarCurr)) <=> (v84(VarCurr) <=> v86(VarCurr)))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26021,plain,
% 9.20/6.80 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26020])).
% 9.20/6.80 tff(26022,plain,
% 9.20/6.80 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(26023,axiom,(![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_9')).
% 9.20/6.80 tff(26024,plain,
% 9.20/6.80 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26023, 26022])).
% 9.20/6.80 tff(26025,plain,(
% 9.20/6.80 ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 9.20/6.80 inference(skolemize,[status(sab)],[26024])).
% 9.20/6.80 tff(26026,plain,
% 9.20/6.80 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26025, 26021])).
% 9.20/6.80 tff(26027,plain,
% 9.20/6.80 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(VarCurr!0) <=> v86(VarCurr!0))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(26028,plain,
% 9.20/6.80 (v84(VarCurr!0) <=> v86(VarCurr!0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26027, 26026])).
% 9.20/6.80 tff(26029,plain,
% 9.20/6.80 (^[VarCurr: $i] : refl(((~v194(VarCurr)) <=> v84(VarCurr)) <=> ((~v194(VarCurr)) <=> v84(VarCurr)))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26030,plain,
% 9.20/6.80 (![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26029])).
% 9.20/6.80 tff(26031,plain,
% 9.20/6.80 (![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(26032,axiom,(![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_16')).
% 9.20/6.80 tff(26033,plain,
% 9.20/6.80 (![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26032, 26031])).
% 9.20/6.80 tff(26034,plain,(
% 9.20/6.80 ![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 9.20/6.80 inference(skolemize,[status(sab)],[26033])).
% 9.20/6.80 tff(26035,plain,
% 9.20/6.80 (![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26034, 26030])).
% 9.20/6.80 tff(26036,plain,
% 9.20/6.80 ((~![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))) | ((~v194(VarCurr!0)) <=> v84(VarCurr!0))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(26037,plain,
% 9.20/6.80 ((~v194(VarCurr!0)) <=> v84(VarCurr!0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26036, 26035])).
% 9.20/6.80 tff(26038,plain,
% 9.20/6.80 (^[VarCurr: $i] : refl((v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr))))) <=> (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr))))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26039,plain,
% 9.20/6.80 (![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr))))) <=> ![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26038])).
% 9.20/6.80 tff(26040,plain,
% 9.20/6.80 (^[VarCurr: $i] : rewrite((v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr))) <=> (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr))))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26041,plain,
% 9.20/6.80 (![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26040])).
% 9.20/6.80 tff(26042,plain,
% 9.20/6.80 (![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(26043,axiom,(![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_48')).
% 9.20/6.80 tff(26044,plain,
% 9.20/6.80 (![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr)))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26043, 26042])).
% 9.20/6.80 tff(26045,plain,(
% 9.20/6.80 ![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr)))),
% 9.20/6.80 inference(skolemize,[status(sab)],[26044])).
% 9.20/6.80 tff(26046,plain,
% 9.20/6.80 (![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26045, 26041])).
% 9.20/6.80 tff(26047,plain,
% 9.20/6.80 (![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26046, 26039])).
% 9.20/6.80 tff(26048,plain,
% 9.20/6.80 ((~![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))) | (v193(VarCurr!0) <=> (~((~v194(VarCurr!0)) | (~v184(VarCurr!0)))))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(26049,plain,
% 9.20/6.80 (v193(VarCurr!0) <=> (~((~v194(VarCurr!0)) | (~v184(VarCurr!0))))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26048, 26047])).
% 9.20/6.80 tff(26050,plain,
% 9.20/6.80 (^[VarCurr: $i] : refl((v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr))))) <=> (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr))))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26051,plain,
% 9.20/6.80 (![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr))))) <=> ![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26050])).
% 9.20/6.80 tff(26052,plain,
% 9.20/6.80 (^[VarCurr: $i] : rewrite((v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr))) <=> (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr))))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26053,plain,
% 9.20/6.80 (![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr))) <=> ![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26052])).
% 9.20/6.80 tff(26054,plain,
% 9.20/6.80 (![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr))) <=> ![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr)))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(26055,axiom,(![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_49')).
% 9.20/6.80 tff(26056,plain,
% 9.20/6.80 (![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr)))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26055, 26054])).
% 9.20/6.80 tff(26057,plain,(
% 9.20/6.80 ![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr)))),
% 9.20/6.80 inference(skolemize,[status(sab)],[26056])).
% 9.20/6.80 tff(26058,plain,
% 9.20/6.80 (![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26057, 26053])).
% 9.20/6.80 tff(26059,plain,
% 9.20/6.80 (![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26058, 26051])).
% 9.20/6.80 tff(26060,plain,
% 9.20/6.80 ((~![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))) | (v192(VarCurr!0) <=> (~((~v186(VarCurr!0)) | (~v193(VarCurr!0)))))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(26061,plain,
% 9.20/6.80 (v192(VarCurr!0) <=> (~((~v186(VarCurr!0)) | (~v193(VarCurr!0))))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26060, 26059])).
% 9.20/6.80 tff(26062,plain,
% 9.20/6.80 (((~v192(VarCurr!0)) | (~v157(VarCurr!0))) | v192(VarCurr!0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26063,plain,
% 9.20/6.80 (v192(VarCurr!0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26062, 54])).
% 9.20/6.80 tff(26064,plain,
% 9.20/6.80 ((~(v192(VarCurr!0) <=> (~((~v186(VarCurr!0)) | (~v193(VarCurr!0)))))) | (~v192(VarCurr!0)) | (~((~v186(VarCurr!0)) | (~v193(VarCurr!0))))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26065,plain,
% 9.20/6.80 ((~(v192(VarCurr!0) <=> (~((~v186(VarCurr!0)) | (~v193(VarCurr!0)))))) | (~((~v186(VarCurr!0)) | (~v193(VarCurr!0))))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26064, 26063])).
% 9.20/6.80 tff(26066,plain,
% 9.20/6.80 (~((~v186(VarCurr!0)) | (~v193(VarCurr!0)))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26065, 26061])).
% 9.20/6.80 tff(26067,plain,
% 9.20/6.80 (((~v186(VarCurr!0)) | (~v193(VarCurr!0))) | v193(VarCurr!0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26068,plain,
% 9.20/6.80 (v193(VarCurr!0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26067, 26066])).
% 9.20/6.80 tff(26069,plain,
% 9.20/6.80 ((~(v193(VarCurr!0) <=> (~((~v194(VarCurr!0)) | (~v184(VarCurr!0)))))) | (~v193(VarCurr!0)) | (~((~v194(VarCurr!0)) | (~v184(VarCurr!0))))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26070,plain,
% 9.20/6.80 ((~(v193(VarCurr!0) <=> (~((~v194(VarCurr!0)) | (~v184(VarCurr!0)))))) | (~((~v194(VarCurr!0)) | (~v184(VarCurr!0))))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26069, 26068])).
% 9.20/6.80 tff(26071,plain,
% 9.20/6.80 (~((~v194(VarCurr!0)) | (~v184(VarCurr!0)))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26070, 26049])).
% 9.20/6.80 tff(26072,plain,
% 9.20/6.80 (((~v194(VarCurr!0)) | (~v184(VarCurr!0))) | v194(VarCurr!0)),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26073,plain,
% 9.20/6.80 (v194(VarCurr!0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26072, 26071])).
% 9.20/6.80 tff(26074,plain,
% 9.20/6.80 ((~((~v194(VarCurr!0)) <=> v84(VarCurr!0))) | (~v194(VarCurr!0)) | (~v84(VarCurr!0))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26075,plain,
% 9.20/6.80 ((~((~v194(VarCurr!0)) <=> v84(VarCurr!0))) | (~v84(VarCurr!0))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26074, 26073])).
% 9.20/6.80 tff(26076,plain,
% 9.20/6.80 (~v84(VarCurr!0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26075, 26037])).
% 9.20/6.80 tff(26077,plain,
% 9.20/6.80 ((~(v84(VarCurr!0) <=> v86(VarCurr!0))) | v84(VarCurr!0) | (~v86(VarCurr!0))),
% 9.20/6.80 inference(tautology,[status(thm)],[])).
% 9.20/6.80 tff(26078,plain,
% 9.20/6.80 ((~(v84(VarCurr!0) <=> v86(VarCurr!0))) | (~v86(VarCurr!0))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26077, 26076])).
% 9.20/6.80 tff(26079,plain,
% 9.20/6.80 (~v86(VarCurr!0)),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26078, 26028])).
% 9.20/6.80 tff(26080,plain,
% 9.20/6.80 (~v86(constB169)),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26079, 26019])).
% 9.20/6.80 tff(26081,plain,
% 9.20/6.80 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB169) <=> (v143(constB169) | v144(constB169)))),
% 9.20/6.80 inference(quant_inst,[status(thm)],[])).
% 9.20/6.80 tff(26082,plain,
% 9.20/6.80 (v142(constB169) <=> (v143(constB169) | v144(constB169))),
% 9.20/6.80 inference(unit_resolution,[status(thm)],[26081, 25855])).
% 9.20/6.80 tff(26083,plain,
% 9.20/6.80 (^[VarCurr: $i] : refl((v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))) <=> (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26084,plain,
% 9.20/6.80 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26083])).
% 9.20/6.80 tff(26085,plain,
% 9.20/6.80 (^[VarCurr: $i] : rewrite((v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26086,plain,
% 9.20/6.80 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26085])).
% 9.20/6.80 tff(26087,plain,
% 9.20/6.80 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.80 inference(rewrite,[status(thm)],[])).
% 9.20/6.80 tff(26088,plain,
% 9.20/6.80 (^[VarCurr: $i] : rewrite((v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.80 inference(bind,[status(th)],[])).
% 9.20/6.80 tff(26089,plain,
% 9.20/6.80 (![VarCurr: $i] : (v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.80 inference(quant_intro,[status(thm)],[26088])).
% 9.20/6.80 tff(26090,axiom,(![VarCurr: $i] : (v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13')).
% 9.20/6.80 tff(26091,plain,
% 9.20/6.80 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 9.20/6.80 tff(26092,plain,
% 9.20/6.80 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26091, 26087])).
% 9.20/6.80 tff(26093,plain,(
% 9.20/6.80 ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 9.20/6.80 inference(skolemize,[status(sab)],[26092])).
% 9.20/6.80 tff(26094,plain,
% 9.20/6.80 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26093, 26086])).
% 9.20/6.80 tff(26095,plain,
% 9.20/6.80 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 9.20/6.80 inference(modus_ponens,[status(thm)],[26094, 26084])).
% 9.20/6.80 tff(26096,plain,
% 9.20/6.80 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)))))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26097,plain,
% 9.20/6.81 ((v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2))))) <=> (v144(constB169) <=> (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26098,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)))))),
% 9.20/6.81 inference(monotonicity,[status(thm)],[26097])).
% 9.20/6.81 tff(26099,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)))))),
% 9.20/6.81 inference(transitivity,[status(thm)],[26098, 26096])).
% 9.20/6.81 tff(26100,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26101,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26100, 26099])).
% 9.20/6.81 tff(26102,plain,
% 9.20/6.81 (v144(constB169) <=> (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26101, 26095])).
% 9.20/6.81 tff(26103,plain,
% 9.20/6.81 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26104,plain,
% 9.20/6.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26105,plain,
% 9.20/6.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26104, 26103])).
% 9.20/6.81 tff(26106,plain,
% 9.20/6.81 (v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26105, 648, 372])).
% 9.20/6.81 tff(26107,plain,
% 9.20/6.81 ((~(v88(constB169, bitIndex2) <=> v90(constB169, bitIndex2))) | v88(constB169, bitIndex2) | (~v90(constB169, bitIndex2))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26108,plain,
% 9.20/6.81 (v88(constB169, bitIndex2)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26107, 23456, 26106])).
% 9.20/6.81 tff(26109,plain,
% 9.20/6.81 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26110,plain,
% 9.20/6.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26111,plain,
% 9.20/6.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 9.20/6.81 tff(26112,plain,
% 9.20/6.81 (v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26111, 9653, 372])).
% 9.20/6.81 tff(26113,plain,
% 9.20/6.81 ((~(v88(constB169, bitIndex0) <=> v90(constB169, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26114,plain,
% 9.20/6.81 (~v88(constB169, bitIndex0)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26113, 23487, 26112])).
% 9.20/6.81 tff(26115,plain,
% 9.20/6.81 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26116,plain,
% 9.20/6.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26117,plain,
% 9.20/6.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26116, 26115])).
% 9.20/6.81 tff(26118,plain,
% 9.20/6.81 (v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26117, 375, 372])).
% 9.20/6.81 tff(26119,plain,
% 9.20/6.81 ((~(v88(constB169, bitIndex1) <=> v90(constB169, bitIndex1))) | v88(constB169, bitIndex1) | (~v90(constB169, bitIndex1))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26120,plain,
% 9.20/6.81 (v88(constB169, bitIndex1)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26119, 23518, 26118])).
% 9.20/6.81 tff(26121,plain,
% 9.20/6.81 ((~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26122,plain,
% 9.20/6.81 (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26121, 26120, 26114, 26108])).
% 9.20/6.81 tff(26123,plain,
% 9.20/6.81 ((~(v144(constB169) <=> (~((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))))) | v144(constB169) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26124,plain,
% 9.20/6.81 (v144(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26123, 26122, 26102])).
% 9.20/6.81 tff(26125,plain,
% 9.20/6.81 ((v143(constB169) | v144(constB169)) | (~v144(constB169))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26126,plain,
% 9.20/6.81 (v143(constB169) | v144(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26125, 26124])).
% 9.20/6.81 tff(26127,plain,
% 9.20/6.81 ((~(v142(constB169) <=> (v143(constB169) | v144(constB169)))) | v142(constB169) | (~(v143(constB169) | v144(constB169)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26128,plain,
% 9.20/6.81 (v142(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26127, 26126, 26082])).
% 9.20/6.81 tff(26129,plain,
% 9.20/6.81 (^[VarCurr: $i] : refl((v148(VarCurr) | (~v142(VarCurr))) <=> (v148(VarCurr) | (~v142(VarCurr))))),
% 9.20/6.81 inference(bind,[status(th)],[])).
% 9.20/6.81 tff(26130,plain,
% 9.20/6.81 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 9.20/6.81 inference(quant_intro,[status(thm)],[26129])).
% 9.20/6.81 tff(26131,plain,
% 9.20/6.81 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26132,plain,
% 9.20/6.81 (^[VarCurr: $i] : trans(monotonicity(rewrite((v148(VarCurr) <=> $true) <=> v148(VarCurr)), ((v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> (v142(VarCurr) => v148(VarCurr)))), rewrite((v142(VarCurr) => v148(VarCurr)) <=> (v148(VarCurr) | (~v142(VarCurr)))), ((v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> (v148(VarCurr) | (~v142(VarCurr)))))),
% 9.20/6.81 inference(bind,[status(th)],[])).
% 9.20/6.81 tff(26133,plain,
% 9.20/6.81 (![VarCurr: $i] : (v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 9.20/6.81 inference(quant_intro,[status(thm)],[26132])).
% 9.20/6.81 tff(26134,axiom,(![VarCurr: $i] : (v142(VarCurr) => (v148(VarCurr) <=> $true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2')).
% 9.20/6.81 tff(26135,plain,
% 9.20/6.81 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26134, 26133])).
% 9.20/6.81 tff(26136,plain,
% 9.20/6.81 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26135, 26131])).
% 9.20/6.81 tff(26137,plain,(
% 9.20/6.81 ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 9.20/6.81 inference(skolemize,[status(sab)],[26136])).
% 9.20/6.81 tff(26138,plain,
% 9.20/6.81 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26137, 26130])).
% 9.20/6.81 tff(26139,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26140,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26141,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26140, 26139])).
% 9.20/6.81 tff(26142,plain,
% 9.20/6.81 (v148(constB169) | (~v142(constB169))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26141, 26138])).
% 9.20/6.81 tff(26143,plain,
% 9.20/6.81 (v148(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26142, 26128])).
% 9.20/6.81 tff(26144,plain,
% 9.20/6.81 (^[VarCurr: $i] : refl((v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))))),
% 9.20/6.81 inference(bind,[status(th)],[])).
% 9.20/6.81 tff(26145,plain,
% 9.20/6.81 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 9.20/6.81 inference(quant_intro,[status(thm)],[26144])).
% 9.20/6.81 tff(26146,plain,
% 9.20/6.81 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26147,axiom,(![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_33')).
% 9.20/6.81 tff(26148,plain,
% 9.20/6.81 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26147, 26146])).
% 9.20/6.81 tff(26149,plain,(
% 9.20/6.81 ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 9.20/6.81 inference(skolemize,[status(sab)],[26148])).
% 9.20/6.81 tff(26150,plain,
% 9.20/6.81 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26149, 26145])).
% 9.20/6.81 tff(26151,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB169) <=> (v136(constB169) | v145(constB169)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26152,plain,
% 9.20/6.81 (v135(constB169) <=> (v136(constB169) | v145(constB169))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26151, 26150])).
% 9.20/6.81 tff(26153,plain,
% 9.20/6.81 (^[VarCurr: $i] : refl((v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))))),
% 9.20/6.81 inference(bind,[status(th)],[])).
% 9.20/6.81 tff(26154,plain,
% 9.20/6.81 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 9.20/6.81 inference(quant_intro,[status(thm)],[26153])).
% 9.20/6.81 tff(26155,plain,
% 9.20/6.81 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26156,axiom,(![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_31')).
% 9.20/6.81 tff(26157,plain,
% 9.20/6.81 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26156, 26155])).
% 9.20/6.81 tff(26158,plain,(
% 9.20/6.81 ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 9.20/6.81 inference(skolemize,[status(sab)],[26157])).
% 9.20/6.81 tff(26159,plain,
% 9.20/6.81 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26158, 26154])).
% 9.20/6.81 tff(26160,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB169) <=> (v137(constB169) | v142(constB169)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26161,plain,
% 9.20/6.81 (v136(constB169) <=> (v137(constB169) | v142(constB169))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26160, 26159])).
% 9.20/6.81 tff(26162,plain,
% 9.20/6.81 ((v137(constB169) | v142(constB169)) | (~v142(constB169))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26163,plain,
% 9.20/6.81 (v137(constB169) | v142(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26162, 26128])).
% 9.20/6.81 tff(26164,plain,
% 9.20/6.81 ((~(v136(constB169) <=> (v137(constB169) | v142(constB169)))) | v136(constB169) | (~(v137(constB169) | v142(constB169)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26165,plain,
% 9.20/6.81 (v136(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26164, 26163, 26161])).
% 9.20/6.81 tff(26166,plain,
% 9.20/6.81 ((v136(constB169) | v145(constB169)) | (~v136(constB169))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26167,plain,
% 9.20/6.81 (v136(constB169) | v145(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26166, 26165])).
% 9.20/6.81 tff(26168,plain,
% 9.20/6.81 ((~(v135(constB169) <=> (v136(constB169) | v145(constB169)))) | v135(constB169) | (~(v136(constB169) | v145(constB169)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26169,plain,
% 9.20/6.81 (v135(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26168, 26167, 26152])).
% 9.20/6.81 tff(26170,plain,
% 9.20/6.81 (^[VarNext: $i] : refl(((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 9.20/6.81 inference(bind,[status(th)],[])).
% 9.20/6.81 tff(26171,plain,
% 9.20/6.81 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 9.20/6.81 inference(quant_intro,[status(thm)],[26170])).
% 9.20/6.81 tff(26172,plain,
% 9.20/6.81 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26173,plain,
% 9.20/6.81 (^[VarNext: $i] : rewrite((v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 9.20/6.81 inference(bind,[status(th)],[])).
% 9.20/6.81 tff(26174,plain,
% 9.20/6.81 (![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 9.20/6.81 inference(quant_intro,[status(thm)],[26173])).
% 9.20/6.81 tff(26175,axiom,(![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4')).
% 9.20/6.81 tff(26176,plain,
% 9.20/6.81 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26175, 26174])).
% 9.20/6.81 tff(26177,plain,
% 9.20/6.81 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26176, 26172])).
% 9.20/6.81 tff(26178,plain,(
% 9.20/6.81 ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 9.20/6.81 inference(skolemize,[status(sab)],[26177])).
% 9.20/6.81 tff(26179,plain,
% 9.20/6.81 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26178, 26171])).
% 9.20/6.81 tff(26180,plain,
% 9.20/6.81 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26181,plain,
% 9.20/6.81 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26182,plain,
% 9.20/6.81 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26181, 26180])).
% 9.20/6.81 tff(26183,plain,
% 9.20/6.81 ((~v135(constB169)) | (v86(constB169) <=> v148(constB169))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26182, 26179])).
% 9.20/6.81 tff(26184,plain,
% 9.20/6.81 (v86(constB169) <=> v148(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26183, 26169])).
% 9.20/6.81 tff(26185,plain,
% 9.20/6.81 ((~(v86(constB169) <=> v148(constB169))) | v86(constB169) | (~v148(constB169))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26186,plain,
% 9.20/6.81 (v86(constB169)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26185, 26184, 26143])).
% 9.20/6.81 tff(26187,plain,
% 9.20/6.81 ($false),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26186, 26080])).
% 9.20/6.81 tff(26188,plain,(~(constB169 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/6.81 tff(26189,assumption,(constB93 = VarCurr!0), introduced(assumption)).
% 9.20/6.81 tff(26190,plain,
% 9.20/6.81 (v180(constB93) <=> v180(VarCurr!0)),
% 9.20/6.81 inference(monotonicity,[status(thm)],[26189])).
% 9.20/6.81 tff(26191,plain,
% 9.20/6.81 (v180(VarCurr!0) <=> v180(constB93)),
% 9.20/6.81 inference(symmetry,[status(thm)],[26190])).
% 9.20/6.81 tff(26192,plain,
% 9.20/6.81 (v180(constB93)),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[59, 26191])).
% 9.20/6.81 tff(26193,plain,
% 9.20/6.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB92, constB93)) | (v180(constB93) <=> v178(constB92)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB92, constB93)) | (v180(constB93) <=> v178(constB92)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26194,plain,
% 9.20/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB92, constB93)) | (v180(constB93) <=> v178(constB92)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26195,plain,
% 9.20/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB92, constB93)) | (v180(constB93) <=> v178(constB92))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26194, 26193])).
% 9.20/6.81 tff(26196,plain,
% 9.20/6.81 (v180(constB93) <=> v178(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26195, 5371, 70])).
% 9.20/6.81 tff(26197,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB92) <=> (v181(constB92) | v185(constB92)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26198,plain,
% 9.20/6.81 (v178(constB92) <=> (v181(constB92) | v185(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26197, 84])).
% 9.20/6.81 tff(26199,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB92) <=> (~((~v186(constB92)) | (~v187(constB92)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26200,plain,
% 9.20/6.81 (v185(constB92) <=> (~((~v186(constB92)) | (~v187(constB92))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26199, 96])).
% 9.20/6.81 tff(26201,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB92) <=> (~((~v184(constB92)) | (~v159(constB92)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26202,plain,
% 9.20/6.81 (v187(constB92) <=> (~((~v184(constB92)) | (~v159(constB92))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26201, 108])).
% 9.20/6.81 tff(26203,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26204,plain,
% 9.20/6.81 (v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26203, 120])).
% 9.20/6.81 tff(26205,plain,
% 9.20/6.81 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB92)) <=> v1(constB92))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26206,plain,
% 9.20/6.81 ((~v39(constB92)) <=> v1(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26205, 129])).
% 9.20/6.81 tff(26207,plain,
% 9.20/6.81 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92)) | (~v1(constB92))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26208,plain,
% 9.20/6.81 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26207, 5433])).
% 9.20/6.81 tff(26209,plain,
% 9.20/6.81 (~v39(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26208, 26206])).
% 9.20/6.81 tff(26210,plain,
% 9.20/6.81 (((~v39(constB92)) | (~v9(constB92))) | v39(constB92)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26211,plain,
% 9.20/6.81 ((~v39(constB92)) | (~v9(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26210, 26209])).
% 9.20/6.81 tff(26212,plain,
% 9.20/6.81 ((~(v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v184(constB92)) | (~((~v39(constB92)) | (~v9(constB92))))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26213,plain,
% 9.20/6.81 ((~(v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v184(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26212, 26211])).
% 9.20/6.81 tff(26214,plain,
% 9.20/6.81 (~v184(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26213, 26204])).
% 9.20/6.81 tff(26215,plain,
% 9.20/6.81 (((~v184(constB92)) | (~v159(constB92))) | v184(constB92)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26216,plain,
% 9.20/6.81 ((~v184(constB92)) | (~v159(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26215, 26214])).
% 9.20/6.81 tff(26217,plain,
% 9.20/6.81 ((~(v187(constB92) <=> (~((~v184(constB92)) | (~v159(constB92)))))) | (~v187(constB92)) | (~((~v184(constB92)) | (~v159(constB92))))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26218,plain,
% 9.20/6.81 ((~(v187(constB92) <=> (~((~v184(constB92)) | (~v159(constB92)))))) | (~v187(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26217, 26216])).
% 9.20/6.81 tff(26219,plain,
% 9.20/6.81 (~v187(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26218, 26202])).
% 9.20/6.81 tff(26220,plain,
% 9.20/6.81 (((~v186(constB92)) | (~v187(constB92))) | v187(constB92)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26221,plain,
% 9.20/6.81 ((~v186(constB92)) | (~v187(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26220, 26219])).
% 9.20/6.81 tff(26222,plain,
% 9.20/6.81 ((~(v185(constB92) <=> (~((~v186(constB92)) | (~v187(constB92)))))) | (~v185(constB92)) | (~((~v186(constB92)) | (~v187(constB92))))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26223,plain,
% 9.20/6.81 (~v185(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26222, 26221, 26200])).
% 9.20/6.81 tff(26224,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92))))))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26225,plain,
% 9.20/6.81 ((v181(constB92) <=> (~((~v182(constB92)) | (~v157(constB92))))) <=> (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92)))))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26226,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v182(constB92)) | (~v157(constB92)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92))))))),
% 9.20/6.81 inference(monotonicity,[status(thm)],[26225])).
% 9.20/6.81 tff(26227,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v182(constB92)) | (~v157(constB92)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92))))))),
% 9.20/6.81 inference(transitivity,[status(thm)],[26226, 26224])).
% 9.20/6.81 tff(26228,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v182(constB92)) | (~v157(constB92)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26229,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92)))))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26228, 26227])).
% 9.20/6.81 tff(26230,plain,
% 9.20/6.81 (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26229, 161])).
% 9.20/6.81 tff(26231,plain,
% 9.20/6.81 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB92) <=> v180(constB92))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26232,plain,
% 9.20/6.81 (v157(constB92) <=> v180(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26231, 13])).
% 9.20/6.81 tff(26233,plain,
% 9.20/6.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB91, constB92)) | (v180(constB92) <=> v178(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB91, constB92)) | (v180(constB92) <=> v178(constB91)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26234,plain,
% 9.20/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB91, constB92)) | (v180(constB92) <=> v178(constB91)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26235,plain,
% 9.20/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB91, constB92)) | (v180(constB92) <=> v178(constB91))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26234, 26233])).
% 9.20/6.81 tff(26236,plain,
% 9.20/6.81 (v180(constB92) <=> v178(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26235, 5403, 70])).
% 9.20/6.81 tff(26237,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB91) <=> (v181(constB91) | v185(constB91)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26238,plain,
% 9.20/6.81 (v178(constB91) <=> (v181(constB91) | v185(constB91))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26237, 84])).
% 9.20/6.81 tff(26239,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91))))))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26240,plain,
% 9.20/6.81 ((v181(constB91) <=> (~((~v182(constB91)) | (~v157(constB91))))) <=> (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91)))))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26241,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v182(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91))))))),
% 9.20/6.81 inference(monotonicity,[status(thm)],[26240])).
% 9.20/6.81 tff(26242,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v182(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91))))))),
% 9.20/6.81 inference(transitivity,[status(thm)],[26241, 26239])).
% 9.20/6.81 tff(26243,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v182(constB91)) | (~v157(constB91)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26244,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91)))))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 9.20/6.81 tff(26245,plain,
% 9.20/6.81 (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26244, 161])).
% 9.20/6.81 tff(26246,plain,
% 9.20/6.81 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB91)) <=> v183(constB91))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26247,plain,
% 9.20/6.81 ((~v182(constB91)) <=> v183(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26246, 193])).
% 9.20/6.81 tff(26248,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB91) <=> (v184(constB91) | v26(constB91)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26249,plain,
% 9.20/6.81 (v183(constB91) <=> (v184(constB91) | v26(constB91))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26248, 202])).
% 9.20/6.81 tff(26250,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26251,plain,
% 9.20/6.81 (v184(constB91) <=> (~((~v39(constB91)) | (~v9(constB91))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26250, 120])).
% 9.20/6.81 tff(26252,plain,
% 9.20/6.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26253,plain,
% 9.20/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26254,plain,
% 9.20/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26253, 26252])).
% 9.20/6.81 tff(26255,plain,
% 9.20/6.81 (v13(constB92) <=> v9(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26254, 5403, 216])).
% 9.20/6.81 tff(26256,plain,
% 9.20/6.81 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB92) <=> v13(constB92))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26257,plain,
% 9.20/6.81 (v6(constB92) <=> v13(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26256, 230])).
% 9.20/6.81 tff(26258,plain,
% 9.20/6.81 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB92)) <=> v6(constB92))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26259,plain,
% 9.20/6.81 ((~v21(constB92)) <=> v6(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26258, 239])).
% 9.20/6.81 tff(26260,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB92) <=> (v20(constB92) | v21(constB92)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26261,plain,
% 9.20/6.81 (v19(constB92) <=> (v20(constB92) | v21(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26260, 248])).
% 9.20/6.81 tff(26262,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26263,plain,
% 9.20/6.81 (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26262, 260])).
% 9.20/6.81 tff(26264,plain,
% 9.20/6.81 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB92)) <=> v18(constB92))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26265,plain,
% 9.20/6.81 ((~v4(constB92)) <=> v18(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26264, 269])).
% 9.20/6.81 tff(26266,plain,
% 9.20/6.81 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB92)),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26267,plain,
% 9.20/6.81 (v4(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26266, 278])).
% 9.20/6.81 tff(26268,plain,
% 9.20/6.81 ((~((~v4(constB92)) <=> v18(constB92))) | (~v4(constB92)) | (~v18(constB92))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26269,plain,
% 9.20/6.81 (~v18(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26268, 26267, 26265])).
% 9.20/6.81 tff(26270,plain,
% 9.20/6.81 ((~(v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))) | v18(constB92) | ((~v19(constB92)) | (~v22(constB92)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26271,plain,
% 9.20/6.81 ((~v19(constB92)) | (~v22(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26270, 26269, 26263])).
% 9.20/6.81 tff(26272,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB92) <=> (v1(constB92) | v6(constB92)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26273,plain,
% 9.20/6.81 (v22(constB92) <=> (v1(constB92) | v6(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26272, 291])).
% 9.20/6.81 tff(26274,plain,
% 9.20/6.81 ((v1(constB92) | v6(constB92)) | (~v1(constB92))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26275,plain,
% 9.20/6.81 (v1(constB92) | v6(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26274, 5433])).
% 9.20/6.81 tff(26276,plain,
% 9.20/6.81 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92) | (~(v1(constB92) | v6(constB92)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26277,plain,
% 9.20/6.81 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26276, 26275])).
% 9.20/6.81 tff(26278,plain,
% 9.20/6.81 (v22(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26277, 26273])).
% 9.20/6.81 tff(26279,plain,
% 9.20/6.81 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92)) | (~v22(constB92))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26280,plain,
% 9.20/6.81 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26279, 26278])).
% 9.20/6.81 tff(26281,plain,
% 9.20/6.81 (~v19(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26280, 26271])).
% 9.20/6.81 tff(26282,plain,
% 9.20/6.81 ((~(v19(constB92) <=> (v20(constB92) | v21(constB92)))) | v19(constB92) | (~(v20(constB92) | v21(constB92)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26283,plain,
% 9.20/6.81 (~(v20(constB92) | v21(constB92))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26282, 26281, 26261])).
% 9.20/6.81 tff(26284,plain,
% 9.20/6.81 ((v20(constB92) | v21(constB92)) | (~v21(constB92))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26285,plain,
% 9.20/6.81 (~v21(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26284, 26283])).
% 9.20/6.81 tff(26286,plain,
% 9.20/6.81 ((~((~v21(constB92)) <=> v6(constB92))) | v21(constB92) | v6(constB92)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26287,plain,
% 9.20/6.81 (v6(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26286, 26285, 26259])).
% 9.20/6.81 tff(26288,plain,
% 9.20/6.81 ((~(v6(constB92) <=> v13(constB92))) | (~v6(constB92)) | v13(constB92)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26289,plain,
% 9.20/6.81 (v13(constB92)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26288, 26287, 26257])).
% 9.20/6.81 tff(26290,plain,
% 9.20/6.81 ((~(v13(constB92) <=> v9(constB91))) | (~v13(constB92)) | v9(constB91)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26291,plain,
% 9.20/6.81 (v9(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26290, 26289, 26255])).
% 9.20/6.81 tff(26292,plain,
% 9.20/6.81 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB91)) <=> v1(constB91))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26293,plain,
% 9.20/6.81 ((~v39(constB91)) <=> v1(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26292, 129])).
% 9.20/6.81 tff(26294,plain,
% 9.20/6.81 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91) | v1(constB91)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26295,plain,
% 9.20/6.81 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26294, 5425])).
% 9.20/6.81 tff(26296,plain,
% 9.20/6.81 (v39(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26295, 26293])).
% 9.20/6.81 tff(26297,plain,
% 9.20/6.81 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v39(constB91)) | (~v9(constB91))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26298,plain,
% 9.20/6.81 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v9(constB91))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26297, 26296])).
% 9.20/6.81 tff(26299,plain,
% 9.20/6.81 (~((~v39(constB91)) | (~v9(constB91)))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26298, 26291])).
% 9.20/6.81 tff(26300,plain,
% 9.20/6.81 ((~(v184(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))) | v184(constB91) | ((~v39(constB91)) | (~v9(constB91)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26301,plain,
% 9.20/6.81 (v184(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26300, 26299, 26251])).
% 9.20/6.81 tff(26302,plain,
% 9.20/6.81 ((v184(constB91) | v26(constB91)) | (~v184(constB91))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26303,plain,
% 9.20/6.81 (v184(constB91) | v26(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26302, 26301])).
% 9.20/6.81 tff(26304,plain,
% 9.20/6.81 ((~(v183(constB91) <=> (v184(constB91) | v26(constB91)))) | v183(constB91) | (~(v184(constB91) | v26(constB91)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26305,plain,
% 9.20/6.81 (v183(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26304, 26303, 26249])).
% 9.20/6.81 tff(26306,plain,
% 9.20/6.81 ((~((~v182(constB91)) <=> v183(constB91))) | (~v182(constB91)) | (~v183(constB91))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26307,plain,
% 9.20/6.81 (~v182(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26306, 26305, 26247])).
% 9.20/6.81 tff(26308,plain,
% 9.20/6.81 (((~v157(constB91)) | (~v182(constB91))) | v182(constB91)),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26309,plain,
% 9.20/6.81 ((~v157(constB91)) | (~v182(constB91))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26308, 26307])).
% 9.20/6.81 tff(26310,plain,
% 9.20/6.81 ((~(v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91)))))) | (~v181(constB91)) | (~((~v157(constB91)) | (~v182(constB91))))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26311,plain,
% 9.20/6.81 (~v181(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26310, 26309, 26245])).
% 9.20/6.81 tff(26312,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB91) <=> (~((~v186(constB91)) | (~v187(constB91)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26313,plain,
% 9.20/6.81 (v185(constB91) <=> (~((~v186(constB91)) | (~v187(constB91))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26312, 96])).
% 9.20/6.81 tff(26314,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB91) <=> (~((~v184(constB91)) | (~v159(constB91)))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26315,plain,
% 9.20/6.81 (v187(constB91) <=> (~((~v184(constB91)) | (~v159(constB91))))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26314, 108])).
% 9.20/6.81 tff(26316,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB91) <=> v161(constB91))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26317,plain,
% 9.20/6.81 (v159(constB91) <=> v161(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26316, 345])).
% 9.20/6.81 tff(26318,plain,
% 9.20/6.81 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB91) <=> (~(v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2))))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26319,plain,
% 9.20/6.81 (v139(constB91) <=> (~(v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2)))),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26318, 360])).
% 9.20/6.81 tff(26320,plain,
% 9.20/6.81 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB91, bitIndex1) <=> v90(constB91, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB91, bitIndex1) <=> v90(constB91, bitIndex1)))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26321,plain,
% 9.20/6.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB91, bitIndex1) <=> v90(constB91, bitIndex1)))),
% 9.20/6.81 inference(quant_inst,[status(thm)],[])).
% 9.20/6.81 tff(26322,plain,
% 9.20/6.81 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB91, bitIndex1) <=> v90(constB91, bitIndex1))),
% 9.20/6.81 inference(modus_ponens,[status(thm)],[26321, 26320])).
% 9.20/6.81 tff(26323,plain,
% 9.20/6.81 (v88(constB91, bitIndex1) <=> v90(constB91, bitIndex1)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26322, 375, 372])).
% 9.20/6.81 tff(26324,plain,
% 9.20/6.81 ((~(v88(constB91, bitIndex1) <=> v90(constB91, bitIndex1))) | v88(constB91, bitIndex1) | (~v90(constB91, bitIndex1))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26325,plain,
% 9.20/6.81 (v88(constB91, bitIndex1)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26324, 17212, 26323])).
% 9.20/6.81 tff(26326,plain,
% 9.20/6.81 ((v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2)) | (~v88(constB91, bitIndex1))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26327,plain,
% 9.20/6.81 (v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26326, 26325])).
% 9.20/6.81 tff(26328,plain,
% 9.20/6.81 ((~(v139(constB91) <=> (~(v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2))))) | (~v139(constB91)) | (~(v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2)))),
% 9.20/6.81 inference(tautology,[status(thm)],[])).
% 9.20/6.81 tff(26329,plain,
% 9.20/6.81 (~v139(constB91)),
% 9.20/6.81 inference(unit_resolution,[status(thm)],[26328, 26327, 26319])).
% 9.20/6.81 tff(26330,plain,
% 9.20/6.81 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0))))))),
% 9.20/6.81 inference(rewrite,[status(thm)],[])).
% 9.20/6.81 tff(26331,plain,
% 9.20/6.81 ((v140(constB91) <=> (~(v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))))) <=> (v140(constB91) <=> (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0)))))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26332,plain,
% 9.20/6.82 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0))))))),
% 9.20/6.82 inference(monotonicity,[status(thm)],[26331])).
% 9.20/6.82 tff(26333,plain,
% 9.20/6.82 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0))))))),
% 9.20/6.82 inference(transitivity,[status(thm)],[26332, 26330])).
% 9.20/6.82 tff(26334,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26335,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0)))))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26334, 26333])).
% 9.20/6.82 tff(26336,plain,
% 9.20/6.82 (v140(constB91) <=> (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0))))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26335, 25795])).
% 9.20/6.82 tff(26337,plain,
% 9.20/6.82 ((v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0))) | (~v88(constB91, bitIndex1))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26338,plain,
% 9.20/6.82 (v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26337, 26325])).
% 9.20/6.82 tff(26339,plain,
% 9.20/6.82 ((~(v140(constB91) <=> (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0)))))) | (~v140(constB91)) | (~(v88(constB91, bitIndex2) | v88(constB91, bitIndex1) | (~v88(constB91, bitIndex0))))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26340,plain,
% 9.20/6.82 (~v140(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26339, 26338, 26336])).
% 9.20/6.82 tff(26341,plain,
% 9.20/6.82 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26342,plain,
% 9.20/6.82 ((v140(constB91) | v139(constB91) | (~v168(constB91))) <=> (v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26343,plain,
% 9.20/6.82 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v168(constB91))))),
% 9.20/6.82 inference(monotonicity,[status(thm)],[26342])).
% 9.20/6.82 tff(26344,plain,
% 9.20/6.82 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 9.20/6.82 inference(transitivity,[status(thm)],[26343, 26341])).
% 9.20/6.82 tff(26345,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v168(constB91)))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26346,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26345, 26344])).
% 9.20/6.82 tff(26347,plain,
% 9.20/6.82 (v139(constB91) | v140(constB91) | (~v168(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26346, 25819])).
% 9.20/6.82 tff(26348,plain,
% 9.20/6.82 (~v168(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26347, 26340, 26329])).
% 9.20/6.82 tff(26349,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB91) <=> (v145(constB91) | v165(constB91)))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26350,plain,
% 9.20/6.82 (v164(constB91) <=> (v145(constB91) | v165(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26349, 25834])).
% 9.20/6.82 tff(26351,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB91) <=> (v142(constB91) | v166(constB91)))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26352,plain,
% 9.20/6.82 (v165(constB91) <=> (v142(constB91) | v166(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26351, 25846])).
% 9.20/6.82 tff(26353,plain,
% 9.20/6.82 (^[VarCurr: $i] : refl((v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))) <=> (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))))),
% 9.20/6.82 inference(bind,[status(th)],[])).
% 9.20/6.82 tff(26354,plain,
% 9.20/6.82 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 9.20/6.82 inference(quant_intro,[status(thm)],[26353])).
% 9.20/6.82 tff(26355,plain,
% 9.20/6.82 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26356,plain,
% 9.20/6.82 (^[VarCurr: $i] : rewrite((v166(VarCurr) <=> (v167(VarCurr) | v141(VarCurr))) <=> (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))))),
% 9.20/6.82 inference(bind,[status(th)],[])).
% 9.20/6.82 tff(26357,plain,
% 9.20/6.82 (![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 9.20/6.82 inference(quant_intro,[status(thm)],[26356])).
% 9.20/6.82 tff(26358,axiom,(![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_37')).
% 9.20/6.82 tff(26359,plain,
% 9.20/6.82 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26358, 26357])).
% 9.20/6.82 tff(26360,plain,
% 9.20/6.82 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26359, 26355])).
% 9.20/6.82 tff(26361,plain,(
% 9.20/6.82 ![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 9.20/6.82 inference(skolemize,[status(sab)],[26360])).
% 9.20/6.82 tff(26362,plain,
% 9.20/6.82 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26361, 26354])).
% 9.20/6.82 tff(26363,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB91) <=> (v141(constB91) | v167(constB91)))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26364,plain,
% 9.20/6.82 (v166(constB91) <=> (v141(constB91) | v167(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26363, 26362])).
% 9.20/6.82 tff(26365,plain,
% 9.20/6.82 (^[VarCurr: $i] : refl((v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))) <=> (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))))),
% 9.20/6.82 inference(bind,[status(th)],[])).
% 9.20/6.82 tff(26366,plain,
% 9.20/6.82 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.82 inference(quant_intro,[status(thm)],[26365])).
% 9.20/6.82 tff(26367,plain,
% 9.20/6.82 (^[VarCurr: $i] : rewrite((v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0))) <=> (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))))),
% 9.20/6.82 inference(bind,[status(th)],[])).
% 9.20/6.82 tff(26368,plain,
% 9.20/6.82 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.82 inference(quant_intro,[status(thm)],[26367])).
% 9.20/6.82 tff(26369,plain,
% 9.20/6.82 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26370,plain,
% 9.20/6.82 (^[VarCurr: $i] : rewrite((v141(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0))))),
% 9.20/6.82 inference(bind,[status(th)],[])).
% 9.20/6.82 tff(26371,plain,
% 9.20/6.82 (![VarCurr: $i] : (v141(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 9.20/6.82 inference(quant_intro,[status(thm)],[26370])).
% 9.20/6.82 tff(26372,axiom,(![VarCurr: $i] : (v141(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11')).
% 9.20/6.82 tff(26373,plain,
% 9.20/6.82 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26372, 26371])).
% 9.20/6.82 tff(26374,plain,
% 9.20/6.82 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26373, 26369])).
% 9.20/6.82 tff(26375,plain,(
% 9.20/6.82 ![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 9.20/6.82 inference(skolemize,[status(sab)],[26374])).
% 9.20/6.82 tff(26376,plain,
% 9.20/6.82 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26375, 26368])).
% 9.20/6.82 tff(26377,plain,
% 9.20/6.82 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26376, 26366])).
% 9.20/6.82 tff(26378,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26379,plain,
% 9.20/6.82 (v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0))))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26378, 26377])).
% 9.20/6.82 tff(26380,plain,
% 9.20/6.82 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB91, bitIndex2) <=> v90(constB91, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB91, bitIndex2) <=> v90(constB91, bitIndex2)))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26381,plain,
% 9.20/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB91, bitIndex2) <=> v90(constB91, bitIndex2)))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26382,plain,
% 9.20/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB91, bitIndex2) <=> v90(constB91, bitIndex2))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26381, 26380])).
% 9.20/6.82 tff(26383,plain,
% 9.20/6.82 (v88(constB91, bitIndex2) <=> v90(constB91, bitIndex2)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26382, 648, 372])).
% 9.20/6.82 tff(26384,plain,
% 9.20/6.82 ((~(v88(constB91, bitIndex2) <=> v90(constB91, bitIndex2))) | (~v88(constB91, bitIndex2)) | v90(constB91, bitIndex2)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26385,plain,
% 9.20/6.82 (~v88(constB91, bitIndex2)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26384, 17150, 26383])).
% 9.20/6.82 tff(26386,plain,
% 9.20/6.82 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB91, bitIndex0) <=> v90(constB91, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB91, bitIndex0) <=> v90(constB91, bitIndex0)))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26387,plain,
% 9.20/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB91, bitIndex0) <=> v90(constB91, bitIndex0)))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26388,plain,
% 9.20/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB91, bitIndex0) <=> v90(constB91, bitIndex0))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26387, 26386])).
% 9.20/6.82 tff(26389,plain,
% 9.20/6.82 (v88(constB91, bitIndex0) <=> v90(constB91, bitIndex0)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26388, 9653, 372])).
% 9.20/6.82 tff(26390,plain,
% 9.20/6.82 ((~(v88(constB91, bitIndex0) <=> v90(constB91, bitIndex0))) | v88(constB91, bitIndex0) | (~v90(constB91, bitIndex0))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26391,plain,
% 9.20/6.82 (v88(constB91, bitIndex0)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26390, 17181, 26389])).
% 9.20/6.82 tff(26392,plain,
% 9.20/6.82 ((~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26393,plain,
% 9.20/6.82 (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26392, 26325, 26391, 26385])).
% 9.20/6.82 tff(26394,plain,
% 9.20/6.82 ((~(v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))))) | v141(constB91) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26395,plain,
% 9.20/6.82 (v141(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26394, 26393, 26379])).
% 9.20/6.82 tff(26396,plain,
% 9.20/6.82 ((v141(constB91) | v167(constB91)) | (~v141(constB91))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26397,plain,
% 9.20/6.82 (v141(constB91) | v167(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26396, 26395])).
% 9.20/6.82 tff(26398,plain,
% 9.20/6.82 ((~(v166(constB91) <=> (v141(constB91) | v167(constB91)))) | v166(constB91) | (~(v141(constB91) | v167(constB91)))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26399,plain,
% 9.20/6.82 (v166(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26398, 26397, 26364])).
% 9.20/6.82 tff(26400,plain,
% 9.20/6.82 ((v142(constB91) | v166(constB91)) | (~v166(constB91))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26401,plain,
% 9.20/6.82 (v142(constB91) | v166(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26400, 26399])).
% 9.20/6.82 tff(26402,plain,
% 9.20/6.82 ((~(v165(constB91) <=> (v142(constB91) | v166(constB91)))) | v165(constB91) | (~(v142(constB91) | v166(constB91)))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26403,plain,
% 9.20/6.82 (v165(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26402, 26401, 26352])).
% 9.20/6.82 tff(26404,plain,
% 9.20/6.82 ((v145(constB91) | v165(constB91)) | (~v165(constB91))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26405,plain,
% 9.20/6.82 (v145(constB91) | v165(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26404, 26403])).
% 9.20/6.82 tff(26406,plain,
% 9.20/6.82 ((~(v164(constB91) <=> (v145(constB91) | v165(constB91)))) | v164(constB91) | (~(v145(constB91) | v165(constB91)))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26407,plain,
% 9.20/6.82 (v164(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26406, 26405, 26350])).
% 9.20/6.82 tff(26408,plain,
% 9.20/6.82 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB91)) | (v161(constB91) <=> v168(constB91)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB91)) | (v161(constB91) <=> v168(constB91)))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26409,plain,
% 9.20/6.82 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB91)) | (v161(constB91) <=> v168(constB91)))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26410,plain,
% 9.20/6.82 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB91)) | (v161(constB91) <=> v168(constB91))),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26409, 26408])).
% 9.20/6.82 tff(26411,plain,
% 9.20/6.82 ((~v164(constB91)) | (v161(constB91) <=> v168(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26410, 25977])).
% 9.20/6.82 tff(26412,plain,
% 9.20/6.82 (v161(constB91) <=> v168(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26411, 26407])).
% 9.20/6.82 tff(26413,plain,
% 9.20/6.82 ((~(v161(constB91) <=> v168(constB91))) | (~v161(constB91)) | v168(constB91)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26414,plain,
% 9.20/6.82 (~v161(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26413, 26412, 26348])).
% 9.20/6.82 tff(26415,plain,
% 9.20/6.82 ((~(v159(constB91) <=> v161(constB91))) | (~v159(constB91)) | v161(constB91)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26416,plain,
% 9.20/6.82 ((~(v159(constB91) <=> v161(constB91))) | (~v159(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26415, 26414])).
% 9.20/6.82 tff(26417,plain,
% 9.20/6.82 (~v159(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26416, 26317])).
% 9.20/6.82 tff(26418,plain,
% 9.20/6.82 (((~v184(constB91)) | (~v159(constB91))) | v159(constB91)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26419,plain,
% 9.20/6.82 ((~v184(constB91)) | (~v159(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26418, 26417])).
% 9.20/6.82 tff(26420,plain,
% 9.20/6.82 ((~(v187(constB91) <=> (~((~v184(constB91)) | (~v159(constB91)))))) | (~v187(constB91)) | (~((~v184(constB91)) | (~v159(constB91))))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26421,plain,
% 9.20/6.82 (~v187(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26420, 26419, 26315])).
% 9.20/6.82 tff(26422,plain,
% 9.20/6.82 (((~v186(constB91)) | (~v187(constB91))) | v187(constB91)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26423,plain,
% 9.20/6.82 ((~v186(constB91)) | (~v187(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26422, 26421])).
% 9.20/6.82 tff(26424,plain,
% 9.20/6.82 ((~(v185(constB91) <=> (~((~v186(constB91)) | (~v187(constB91)))))) | (~v185(constB91)) | (~((~v186(constB91)) | (~v187(constB91))))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26425,plain,
% 9.20/6.82 (~v185(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26424, 26423, 26313])).
% 9.20/6.82 tff(26426,plain,
% 9.20/6.82 ((~(v181(constB91) | v185(constB91))) | v181(constB91) | v185(constB91)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26427,plain,
% 9.20/6.82 (~(v181(constB91) | v185(constB91))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26426, 26425, 26311])).
% 9.20/6.82 tff(26428,plain,
% 9.20/6.82 ((~(v178(constB91) <=> (v181(constB91) | v185(constB91)))) | (~v178(constB91)) | (v181(constB91) | v185(constB91))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26429,plain,
% 9.20/6.82 (~v178(constB91)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26428, 26427, 26238])).
% 9.20/6.82 tff(26430,plain,
% 9.20/6.82 ((~(v180(constB92) <=> v178(constB91))) | (~v180(constB92)) | v178(constB91)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26431,plain,
% 9.20/6.82 (~v180(constB92)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26430, 26429, 26236])).
% 9.20/6.82 tff(26432,plain,
% 9.20/6.82 ((~(v157(constB92) <=> v180(constB92))) | (~v157(constB92)) | v180(constB92)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26433,plain,
% 9.20/6.82 (~v157(constB92)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26432, 26431, 26232])).
% 9.20/6.82 tff(26434,plain,
% 9.20/6.82 (((~v157(constB92)) | (~v182(constB92))) | v157(constB92)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26435,plain,
% 9.20/6.82 ((~v157(constB92)) | (~v182(constB92))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26434, 26433])).
% 9.20/6.82 tff(26436,plain,
% 9.20/6.82 ((~(v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92)))))) | (~v181(constB92)) | (~((~v157(constB92)) | (~v182(constB92))))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26437,plain,
% 9.20/6.82 (~v181(constB92)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26436, 26435, 26230])).
% 9.20/6.82 tff(26438,plain,
% 9.20/6.82 ((~(v181(constB92) | v185(constB92))) | v181(constB92) | v185(constB92)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26439,plain,
% 9.20/6.82 (~(v181(constB92) | v185(constB92))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26438, 26437, 26223])).
% 9.20/6.82 tff(26440,plain,
% 9.20/6.82 ((~(v178(constB92) <=> (v181(constB92) | v185(constB92)))) | (~v178(constB92)) | (v181(constB92) | v185(constB92))),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26441,plain,
% 9.20/6.82 (~v178(constB92)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26440, 26439, 26198])).
% 9.20/6.82 tff(26442,plain,
% 9.20/6.82 ((~(v180(constB93) <=> v178(constB92))) | (~v180(constB93)) | v178(constB92)),
% 9.20/6.82 inference(tautology,[status(thm)],[])).
% 9.20/6.82 tff(26443,plain,
% 9.20/6.82 (~v180(constB93)),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26442, 26441, 26196])).
% 9.20/6.82 tff(26444,plain,
% 9.20/6.82 ($false),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26443, 26192])).
% 9.20/6.82 tff(26445,plain,(~(constB93 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/6.82 tff(26446,assumption,(constB25 = VarCurr!0), introduced(assumption)).
% 9.20/6.82 tff(26447,plain,
% 9.20/6.82 (v86(constB25) <=> v86(VarCurr!0)),
% 9.20/6.82 inference(monotonicity,[status(thm)],[26446])).
% 9.20/6.82 tff(26448,plain,
% 9.20/6.82 (v86(VarCurr!0) <=> v86(constB25)),
% 9.20/6.82 inference(symmetry,[status(thm)],[26447])).
% 9.20/6.82 tff(26449,plain,
% 9.20/6.82 ((~v86(VarCurr!0)) <=> (~v86(constB25))),
% 9.20/6.82 inference(monotonicity,[status(thm)],[26448])).
% 9.20/6.82 tff(26450,plain,
% 9.20/6.82 (~v86(constB25)),
% 9.20/6.82 inference(modus_ponens,[status(thm)],[26079, 26449])).
% 9.20/6.82 tff(26451,plain,
% 9.20/6.82 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB25) <=> (v143(constB25) | v144(constB25)))),
% 9.20/6.82 inference(quant_inst,[status(thm)],[])).
% 9.20/6.82 tff(26452,plain,
% 9.20/6.82 (v142(constB25) <=> (v143(constB25) | v144(constB25))),
% 9.20/6.82 inference(unit_resolution,[status(thm)],[26451, 25855])).
% 9.20/6.82 tff(26453,plain,
% 9.20/6.82 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)))))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26454,plain,
% 9.20/6.82 ((v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2))))) <=> (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))))),
% 9.20/6.82 inference(rewrite,[status(thm)],[])).
% 9.20/6.82 tff(26455,plain,
% 9.20/6.82 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)))))),
% 9.20/6.82 inference(monotonicity,[status(thm)],[26454])).
% 9.20/6.82 tff(26456,plain,
% 9.20/6.82 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)))))),
% 9.25/6.82 inference(transitivity,[status(thm)],[26455, 26453])).
% 9.25/6.82 tff(26457,plain,
% 9.25/6.82 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26458,plain,
% 9.25/6.82 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))))),
% 9.25/6.82 inference(modus_ponens,[status(thm)],[26457, 26456])).
% 9.25/6.82 tff(26459,plain,
% 9.25/6.82 (v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)))),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26458, 26095])).
% 9.25/6.82 tff(26460,plain,
% 9.25/6.82 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2)))),
% 9.25/6.82 inference(rewrite,[status(thm)],[])).
% 9.25/6.82 tff(26461,plain,
% 9.25/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2)))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26462,plain,
% 9.25/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2))),
% 9.25/6.82 inference(modus_ponens,[status(thm)],[26461, 26460])).
% 9.25/6.82 tff(26463,plain,
% 9.25/6.82 (v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26462, 648, 372])).
% 9.25/6.82 tff(26464,plain,
% 9.25/6.82 ((~(v88(constB25, bitIndex2) <=> v90(constB25, bitIndex2))) | v88(constB25, bitIndex2) | (~v90(constB25, bitIndex2))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26465,plain,
% 9.25/6.82 (v88(constB25, bitIndex2)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26464, 11744, 26463])).
% 9.25/6.82 tff(26466,plain,
% 9.25/6.82 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0)))),
% 9.25/6.82 inference(rewrite,[status(thm)],[])).
% 9.25/6.82 tff(26467,plain,
% 9.25/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0)))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26468,plain,
% 9.25/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0))),
% 9.25/6.82 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 9.25/6.82 tff(26469,plain,
% 9.25/6.82 (v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26468, 9653, 372])).
% 9.25/6.82 tff(26470,plain,
% 9.25/6.82 ((~(v88(constB25, bitIndex0) <=> v90(constB25, bitIndex0))) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0)),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26471,plain,
% 9.25/6.82 (~v88(constB25, bitIndex0)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26470, 11775, 26469])).
% 9.25/6.82 tff(26472,plain,
% 9.25/6.82 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1)))),
% 9.25/6.82 inference(rewrite,[status(thm)],[])).
% 9.25/6.82 tff(26473,plain,
% 9.25/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1)))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26474,plain,
% 9.25/6.82 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1))),
% 9.25/6.82 inference(modus_ponens,[status(thm)],[26473, 26472])).
% 9.25/6.82 tff(26475,plain,
% 9.25/6.82 (v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26474, 375, 372])).
% 9.25/6.82 tff(26476,plain,
% 9.25/6.82 ((~(v88(constB25, bitIndex1) <=> v90(constB25, bitIndex1))) | v88(constB25, bitIndex1) | (~v90(constB25, bitIndex1))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26477,plain,
% 9.25/6.82 (v88(constB25, bitIndex1)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26476, 11806, 26475])).
% 9.25/6.82 tff(26478,plain,
% 9.25/6.82 ((~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0)),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26479,plain,
% 9.25/6.82 (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26478, 26477, 26471, 26465])).
% 9.25/6.82 tff(26480,plain,
% 9.25/6.82 ((~(v144(constB25) <=> (~((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))))) | v144(constB25) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26481,plain,
% 9.25/6.82 (v144(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26480, 26479, 26459])).
% 9.25/6.82 tff(26482,plain,
% 9.25/6.82 ((v143(constB25) | v144(constB25)) | (~v144(constB25))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26483,plain,
% 9.25/6.82 (v143(constB25) | v144(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26482, 26481])).
% 9.25/6.82 tff(26484,plain,
% 9.25/6.82 ((~(v142(constB25) <=> (v143(constB25) | v144(constB25)))) | v142(constB25) | (~(v143(constB25) | v144(constB25)))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26485,plain,
% 9.25/6.82 (v142(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26484, 26483, 26452])).
% 9.25/6.82 tff(26486,plain,
% 9.25/6.82 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25)))),
% 9.25/6.82 inference(rewrite,[status(thm)],[])).
% 9.25/6.82 tff(26487,plain,
% 9.25/6.82 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26488,plain,
% 9.25/6.82 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25))),
% 9.25/6.82 inference(modus_ponens,[status(thm)],[26487, 26486])).
% 9.25/6.82 tff(26489,plain,
% 9.25/6.82 (v148(constB25) | (~v142(constB25))),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26488, 26138])).
% 9.25/6.82 tff(26490,plain,
% 9.25/6.82 (v148(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26489, 26485])).
% 9.25/6.82 tff(26491,plain,
% 9.25/6.82 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB25) <=> (v136(constB25) | v145(constB25)))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26492,plain,
% 9.25/6.82 (v135(constB25) <=> (v136(constB25) | v145(constB25))),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26491, 26150])).
% 9.25/6.82 tff(26493,plain,
% 9.25/6.82 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB25) <=> (v137(constB25) | v142(constB25)))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26494,plain,
% 9.25/6.82 (v136(constB25) <=> (v137(constB25) | v142(constB25))),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26493, 26159])).
% 9.25/6.82 tff(26495,plain,
% 9.25/6.82 ((v137(constB25) | v142(constB25)) | (~v142(constB25))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26496,plain,
% 9.25/6.82 (v137(constB25) | v142(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26495, 26485])).
% 9.25/6.82 tff(26497,plain,
% 9.25/6.82 ((~(v136(constB25) <=> (v137(constB25) | v142(constB25)))) | v136(constB25) | (~(v137(constB25) | v142(constB25)))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26498,plain,
% 9.25/6.82 (v136(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26497, 26496, 26494])).
% 9.25/6.82 tff(26499,plain,
% 9.25/6.82 ((v136(constB25) | v145(constB25)) | (~v136(constB25))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26500,plain,
% 9.25/6.82 (v136(constB25) | v145(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26499, 26498])).
% 9.25/6.82 tff(26501,plain,
% 9.25/6.82 ((~(v135(constB25) <=> (v136(constB25) | v145(constB25)))) | v135(constB25) | (~(v136(constB25) | v145(constB25)))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26502,plain,
% 9.25/6.82 (v135(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26501, 26500, 26492])).
% 9.25/6.82 tff(26503,plain,
% 9.25/6.82 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB25)) | (v86(constB25) <=> v148(constB25)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB25)) | (v86(constB25) <=> v148(constB25)))),
% 9.25/6.82 inference(rewrite,[status(thm)],[])).
% 9.25/6.82 tff(26504,plain,
% 9.25/6.82 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB25)) | (v86(constB25) <=> v148(constB25)))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26505,plain,
% 9.25/6.82 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB25)) | (v86(constB25) <=> v148(constB25))),
% 9.25/6.82 inference(modus_ponens,[status(thm)],[26504, 26503])).
% 9.25/6.82 tff(26506,plain,
% 9.25/6.82 ((~v135(constB25)) | (v86(constB25) <=> v148(constB25))),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26505, 26179])).
% 9.25/6.82 tff(26507,plain,
% 9.25/6.82 (v86(constB25) <=> v148(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26506, 26502])).
% 9.25/6.82 tff(26508,plain,
% 9.25/6.82 ((~(v86(constB25) <=> v148(constB25))) | v86(constB25) | (~v148(constB25))),
% 9.25/6.82 inference(tautology,[status(thm)],[])).
% 9.25/6.82 tff(26509,plain,
% 9.25/6.82 (v86(constB25)),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26508, 26507, 26490])).
% 9.25/6.82 tff(26510,plain,
% 9.25/6.82 ($false),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26509, 26450])).
% 9.25/6.82 tff(26511,plain,(~(constB25 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.25/6.82 tff(26512,assumption,(constB121 = VarCurr!0), introduced(assumption)).
% 9.25/6.82 tff(26513,plain,
% 9.25/6.82 (v86(constB121) <=> v86(VarCurr!0)),
% 9.25/6.82 inference(monotonicity,[status(thm)],[26512])).
% 9.25/6.82 tff(26514,plain,
% 9.25/6.82 (v86(VarCurr!0) <=> v86(constB121)),
% 9.25/6.82 inference(symmetry,[status(thm)],[26513])).
% 9.25/6.82 tff(26515,plain,
% 9.25/6.82 ((~v86(VarCurr!0)) <=> (~v86(constB121))),
% 9.25/6.82 inference(monotonicity,[status(thm)],[26514])).
% 9.25/6.82 tff(26516,plain,
% 9.25/6.82 (~v86(constB121)),
% 9.25/6.82 inference(modus_ponens,[status(thm)],[26079, 26515])).
% 9.25/6.82 tff(26517,plain,
% 9.25/6.82 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB121) <=> (v143(constB121) | v144(constB121)))),
% 9.25/6.82 inference(quant_inst,[status(thm)],[])).
% 9.25/6.82 tff(26518,plain,
% 9.25/6.82 (v142(constB121) <=> (v143(constB121) | v144(constB121))),
% 9.25/6.82 inference(unit_resolution,[status(thm)],[26517, 25855])).
% 9.25/6.82 tff(26519,plain,
% 9.25/6.82 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0)))))),
% 9.25/6.82 inference(rewrite,[status(thm)],[])).
% 9.25/6.82 tff(26520,plain,
% 9.25/6.82 ((v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2))))) <=> (v144(constB121) <=> (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))))),
% 9.25/6.82 inference(rewrite,[status(thm)],[])).
% 9.25/6.82 tff(26521,plain,
% 9.25/6.82 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0)))))),
% 9.25/6.83 inference(monotonicity,[status(thm)],[26520])).
% 9.25/6.83 tff(26522,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0)))))),
% 9.25/6.83 inference(transitivity,[status(thm)],[26521, 26519])).
% 9.25/6.83 tff(26523,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26524,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26523, 26522])).
% 9.25/6.83 tff(26525,plain,
% 9.25/6.83 (v144(constB121) <=> (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0)))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26524, 26095])).
% 9.25/6.83 tff(26526,plain,
% 9.25/6.83 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26527,plain,
% 9.25/6.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26528,plain,
% 9.25/6.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26527, 26526])).
% 9.25/6.83 tff(26529,plain,
% 9.25/6.83 (v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26528, 648, 372])).
% 9.25/6.83 tff(26530,plain,
% 9.25/6.83 ((~(v88(constB121, bitIndex2) <=> v90(constB121, bitIndex2))) | v88(constB121, bitIndex2) | (~v90(constB121, bitIndex2))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26531,plain,
% 9.25/6.83 (v88(constB121, bitIndex2)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26530, 19552, 26529])).
% 9.25/6.83 tff(26532,plain,
% 9.25/6.83 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26533,plain,
% 9.25/6.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26534,plain,
% 9.25/6.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26533, 26532])).
% 9.25/6.83 tff(26535,plain,
% 9.25/6.83 (v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26534, 9653, 372])).
% 9.25/6.83 tff(26536,plain,
% 9.25/6.83 ((~(v88(constB121, bitIndex0) <=> v90(constB121, bitIndex0))) | (~v88(constB121, bitIndex0)) | v90(constB121, bitIndex0)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26537,plain,
% 9.25/6.83 (~v88(constB121, bitIndex0)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26536, 19583, 26535])).
% 9.25/6.83 tff(26538,plain,
% 9.25/6.83 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26539,plain,
% 9.25/6.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26540,plain,
% 9.25/6.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26539, 26538])).
% 9.25/6.83 tff(26541,plain,
% 9.25/6.83 (v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26540, 375, 372])).
% 9.25/6.83 tff(26542,plain,
% 9.25/6.83 ((~(v88(constB121, bitIndex1) <=> v90(constB121, bitIndex1))) | v88(constB121, bitIndex1) | (~v90(constB121, bitIndex1))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26543,plain,
% 9.25/6.83 (v88(constB121, bitIndex1)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26542, 19614, 26541])).
% 9.25/6.83 tff(26544,plain,
% 9.25/6.83 ((~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))) | (~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26545,plain,
% 9.25/6.83 (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26544, 26543, 26537, 26531])).
% 9.25/6.83 tff(26546,plain,
% 9.25/6.83 ((~(v144(constB121) <=> (~((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))))) | v144(constB121) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26547,plain,
% 9.25/6.83 (v144(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26546, 26545, 26525])).
% 9.25/6.83 tff(26548,plain,
% 9.25/6.83 ((v143(constB121) | v144(constB121)) | (~v144(constB121))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26549,plain,
% 9.25/6.83 (v143(constB121) | v144(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26548, 26547])).
% 9.25/6.83 tff(26550,plain,
% 9.25/6.83 ((~(v142(constB121) <=> (v143(constB121) | v144(constB121)))) | v142(constB121) | (~(v143(constB121) | v144(constB121)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26551,plain,
% 9.25/6.83 (v142(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26550, 26549, 26518])).
% 9.25/6.83 tff(26552,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB121) | (~v142(constB121)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26553,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB121) | (~v142(constB121)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26554,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB121) | (~v142(constB121))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26553, 26552])).
% 9.25/6.83 tff(26555,plain,
% 9.25/6.83 (v148(constB121) | (~v142(constB121))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26554, 26138])).
% 9.25/6.83 tff(26556,plain,
% 9.25/6.83 (v148(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26555, 26551])).
% 9.25/6.83 tff(26557,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB121) <=> (v136(constB121) | v145(constB121)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26558,plain,
% 9.25/6.83 (v135(constB121) <=> (v136(constB121) | v145(constB121))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26557, 26150])).
% 9.25/6.83 tff(26559,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB121) <=> (v137(constB121) | v142(constB121)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26560,plain,
% 9.25/6.83 (v136(constB121) <=> (v137(constB121) | v142(constB121))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26559, 26159])).
% 9.25/6.83 tff(26561,plain,
% 9.25/6.83 ((v137(constB121) | v142(constB121)) | (~v142(constB121))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26562,plain,
% 9.25/6.83 (v137(constB121) | v142(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26561, 26551])).
% 9.25/6.83 tff(26563,plain,
% 9.25/6.83 ((~(v136(constB121) <=> (v137(constB121) | v142(constB121)))) | v136(constB121) | (~(v137(constB121) | v142(constB121)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26564,plain,
% 9.25/6.83 (v136(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26563, 26562, 26560])).
% 9.25/6.83 tff(26565,plain,
% 9.25/6.83 ((v136(constB121) | v145(constB121)) | (~v136(constB121))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26566,plain,
% 9.25/6.83 (v136(constB121) | v145(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26565, 26564])).
% 9.25/6.83 tff(26567,plain,
% 9.25/6.83 ((~(v135(constB121) <=> (v136(constB121) | v145(constB121)))) | v135(constB121) | (~(v136(constB121) | v145(constB121)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26568,plain,
% 9.25/6.83 (v135(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26567, 26566, 26558])).
% 9.25/6.83 tff(26569,plain,
% 9.25/6.83 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB121)) | (v86(constB121) <=> v148(constB121)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB121)) | (v86(constB121) <=> v148(constB121)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26570,plain,
% 9.25/6.83 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB121)) | (v86(constB121) <=> v148(constB121)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26571,plain,
% 9.25/6.83 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB121)) | (v86(constB121) <=> v148(constB121))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26570, 26569])).
% 9.25/6.83 tff(26572,plain,
% 9.25/6.83 ((~v135(constB121)) | (v86(constB121) <=> v148(constB121))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26571, 26179])).
% 9.25/6.83 tff(26573,plain,
% 9.25/6.83 (v86(constB121) <=> v148(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26572, 26568])).
% 9.25/6.83 tff(26574,plain,
% 9.25/6.83 ((~(v86(constB121) <=> v148(constB121))) | v86(constB121) | (~v148(constB121))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26575,plain,
% 9.25/6.83 (v86(constB121)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26574, 26573, 26556])).
% 9.25/6.83 tff(26576,plain,
% 9.25/6.83 ($false),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26575, 26516])).
% 9.25/6.83 tff(26577,plain,(~(constB121 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.25/6.83 tff(26578,assumption,(constB55 = VarCurr!0), introduced(assumption)).
% 9.25/6.83 tff(26579,plain,
% 9.25/6.83 (v180(constB55) <=> v180(VarCurr!0)),
% 9.25/6.83 inference(monotonicity,[status(thm)],[26578])).
% 9.25/6.83 tff(26580,plain,
% 9.25/6.83 (v180(VarCurr!0) <=> v180(constB55)),
% 9.25/6.83 inference(symmetry,[status(thm)],[26579])).
% 9.25/6.83 tff(26581,plain,
% 9.25/6.83 (v180(constB55)),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[59, 26580])).
% 9.25/6.83 tff(26582,plain,
% 9.25/6.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB54, constB55)) | (v180(constB55) <=> v178(constB54)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB54, constB55)) | (v180(constB55) <=> v178(constB54)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26583,plain,
% 9.25/6.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB54, constB55)) | (v180(constB55) <=> v178(constB54)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26584,plain,
% 9.25/6.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB54, constB55)) | (v180(constB55) <=> v178(constB54))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26583, 26582])).
% 9.25/6.83 tff(26585,plain,
% 9.25/6.83 (v180(constB55) <=> v178(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26584, 7120, 70])).
% 9.25/6.83 tff(26586,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB54) <=> (v181(constB54) | v185(constB54)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26587,plain,
% 9.25/6.83 (v178(constB54) <=> (v181(constB54) | v185(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26586, 84])).
% 9.25/6.83 tff(26588,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB54) <=> (~((~v186(constB54)) | (~v187(constB54)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26589,plain,
% 9.25/6.83 (v185(constB54) <=> (~((~v186(constB54)) | (~v187(constB54))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26588, 96])).
% 9.25/6.83 tff(26590,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB54) <=> (~((~v184(constB54)) | (~v159(constB54)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26591,plain,
% 9.25/6.83 (v187(constB54) <=> (~((~v184(constB54)) | (~v159(constB54))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26590, 108])).
% 9.25/6.83 tff(26592,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26593,plain,
% 9.25/6.83 (v184(constB54) <=> (~((~v39(constB54)) | (~v9(constB54))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26592, 120])).
% 9.25/6.83 tff(26594,plain,
% 9.25/6.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB54)) <=> v1(constB54))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26595,plain,
% 9.25/6.83 ((~v39(constB54)) <=> v1(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26594, 129])).
% 9.25/6.83 tff(26596,plain,
% 9.25/6.83 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54)) | (~v1(constB54))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26597,plain,
% 9.25/6.83 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26596, 7182])).
% 9.25/6.83 tff(26598,plain,
% 9.25/6.83 (~v39(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26597, 26595])).
% 9.25/6.83 tff(26599,plain,
% 9.25/6.83 (((~v39(constB54)) | (~v9(constB54))) | v39(constB54)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26600,plain,
% 9.25/6.83 ((~v39(constB54)) | (~v9(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26599, 26598])).
% 9.25/6.83 tff(26601,plain,
% 9.25/6.83 ((~(v184(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v184(constB54)) | (~((~v39(constB54)) | (~v9(constB54))))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26602,plain,
% 9.25/6.83 ((~(v184(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v184(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26601, 26600])).
% 9.25/6.83 tff(26603,plain,
% 9.25/6.83 (~v184(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26602, 26593])).
% 9.25/6.83 tff(26604,plain,
% 9.25/6.83 (((~v184(constB54)) | (~v159(constB54))) | v184(constB54)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26605,plain,
% 9.25/6.83 ((~v184(constB54)) | (~v159(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26604, 26603])).
% 9.25/6.83 tff(26606,plain,
% 9.25/6.83 ((~(v187(constB54) <=> (~((~v184(constB54)) | (~v159(constB54)))))) | (~v187(constB54)) | (~((~v184(constB54)) | (~v159(constB54))))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26607,plain,
% 9.25/6.83 ((~(v187(constB54) <=> (~((~v184(constB54)) | (~v159(constB54)))))) | (~v187(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26606, 26605])).
% 9.25/6.83 tff(26608,plain,
% 9.25/6.83 (~v187(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26607, 26591])).
% 9.25/6.83 tff(26609,plain,
% 9.25/6.83 (((~v186(constB54)) | (~v187(constB54))) | v187(constB54)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26610,plain,
% 9.25/6.83 ((~v186(constB54)) | (~v187(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26609, 26608])).
% 9.25/6.83 tff(26611,plain,
% 9.25/6.83 ((~(v185(constB54) <=> (~((~v186(constB54)) | (~v187(constB54)))))) | (~v185(constB54)) | (~((~v186(constB54)) | (~v187(constB54))))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26612,plain,
% 9.25/6.83 (~v185(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26611, 26610, 26589])).
% 9.25/6.83 tff(26613,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54))))))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26614,plain,
% 9.25/6.83 ((v181(constB54) <=> (~((~v182(constB54)) | (~v157(constB54))))) <=> (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54)))))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26615,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v182(constB54)) | (~v157(constB54)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54))))))),
% 9.25/6.83 inference(monotonicity,[status(thm)],[26614])).
% 9.25/6.83 tff(26616,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v182(constB54)) | (~v157(constB54)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54))))))),
% 9.25/6.83 inference(transitivity,[status(thm)],[26615, 26613])).
% 9.25/6.83 tff(26617,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v182(constB54)) | (~v157(constB54)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26618,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54)))))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26617, 26616])).
% 9.25/6.83 tff(26619,plain,
% 9.25/6.83 (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26618, 161])).
% 9.25/6.83 tff(26620,plain,
% 9.25/6.83 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB54) <=> v180(constB54))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26621,plain,
% 9.25/6.83 (v157(constB54) <=> v180(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26620, 13])).
% 9.25/6.83 tff(26622,plain,
% 9.25/6.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB53, constB54)) | (v180(constB54) <=> v178(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB53, constB54)) | (v180(constB54) <=> v178(constB53)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26623,plain,
% 9.25/6.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB53, constB54)) | (v180(constB54) <=> v178(constB53)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26624,plain,
% 9.25/6.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB53, constB54)) | (v180(constB54) <=> v178(constB53))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26623, 26622])).
% 9.25/6.83 tff(26625,plain,
% 9.25/6.83 (v180(constB54) <=> v178(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26624, 7152, 70])).
% 9.25/6.83 tff(26626,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB53) <=> (v181(constB53) | v185(constB53)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26627,plain,
% 9.25/6.83 (v178(constB53) <=> (v181(constB53) | v185(constB53))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26626, 84])).
% 9.25/6.83 tff(26628,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53))))))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26629,plain,
% 9.25/6.83 ((v181(constB53) <=> (~((~v182(constB53)) | (~v157(constB53))))) <=> (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53)))))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26630,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v182(constB53)) | (~v157(constB53)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53))))))),
% 9.25/6.83 inference(monotonicity,[status(thm)],[26629])).
% 9.25/6.83 tff(26631,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v182(constB53)) | (~v157(constB53)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53))))))),
% 9.25/6.83 inference(transitivity,[status(thm)],[26630, 26628])).
% 9.25/6.83 tff(26632,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v182(constB53)) | (~v157(constB53)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26633,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53)))))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26632, 26631])).
% 9.25/6.83 tff(26634,plain,
% 9.25/6.83 (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26633, 161])).
% 9.25/6.83 tff(26635,plain,
% 9.25/6.83 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB53)) <=> v183(constB53))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26636,plain,
% 9.25/6.83 ((~v182(constB53)) <=> v183(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26635, 193])).
% 9.25/6.83 tff(26637,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB53) <=> (v184(constB53) | v26(constB53)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26638,plain,
% 9.25/6.83 (v183(constB53) <=> (v184(constB53) | v26(constB53))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26637, 202])).
% 9.25/6.83 tff(26639,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26640,plain,
% 9.25/6.83 (v184(constB53) <=> (~((~v39(constB53)) | (~v9(constB53))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26639, 120])).
% 9.25/6.83 tff(26641,plain,
% 9.25/6.83 (((~![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)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26642,plain,
% 9.25/6.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26643,plain,
% 9.25/6.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26642, 26641])).
% 9.25/6.83 tff(26644,plain,
% 9.25/6.83 (v13(constB54) <=> v9(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26643, 7152, 216])).
% 9.25/6.83 tff(26645,plain,
% 9.25/6.83 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB54) <=> v13(constB54))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26646,plain,
% 9.25/6.83 (v6(constB54) <=> v13(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26645, 230])).
% 9.25/6.83 tff(26647,plain,
% 9.25/6.83 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB54)) <=> v6(constB54))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26648,plain,
% 9.25/6.83 ((~v21(constB54)) <=> v6(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26647, 239])).
% 9.25/6.83 tff(26649,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB54) <=> (v20(constB54) | v21(constB54)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26650,plain,
% 9.25/6.83 (v19(constB54) <=> (v20(constB54) | v21(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26649, 248])).
% 9.25/6.83 tff(26651,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26652,plain,
% 9.25/6.83 (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26651, 260])).
% 9.25/6.83 tff(26653,plain,
% 9.25/6.83 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB54)) <=> v18(constB54))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26654,plain,
% 9.25/6.83 ((~v4(constB54)) <=> v18(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26653, 269])).
% 9.25/6.83 tff(26655,plain,
% 9.25/6.83 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB54)),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26656,plain,
% 9.25/6.83 (v4(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26655, 278])).
% 9.25/6.83 tff(26657,plain,
% 9.25/6.83 ((~((~v4(constB54)) <=> v18(constB54))) | (~v4(constB54)) | (~v18(constB54))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26658,plain,
% 9.25/6.83 (~v18(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26657, 26656, 26654])).
% 9.25/6.83 tff(26659,plain,
% 9.25/6.83 ((~(v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))) | v18(constB54) | ((~v19(constB54)) | (~v22(constB54)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26660,plain,
% 9.25/6.83 ((~v19(constB54)) | (~v22(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26659, 26658, 26652])).
% 9.25/6.83 tff(26661,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB54) <=> (v1(constB54) | v6(constB54)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26662,plain,
% 9.25/6.83 (v22(constB54) <=> (v1(constB54) | v6(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26661, 291])).
% 9.25/6.83 tff(26663,plain,
% 9.25/6.83 ((v1(constB54) | v6(constB54)) | (~v1(constB54))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26664,plain,
% 9.25/6.83 (v1(constB54) | v6(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26663, 7182])).
% 9.25/6.83 tff(26665,plain,
% 9.25/6.83 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54) | (~(v1(constB54) | v6(constB54)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26666,plain,
% 9.25/6.83 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26665, 26664])).
% 9.25/6.83 tff(26667,plain,
% 9.25/6.83 (v22(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26666, 26662])).
% 9.25/6.83 tff(26668,plain,
% 9.25/6.83 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54)) | (~v22(constB54))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26669,plain,
% 9.25/6.83 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26668, 26667])).
% 9.25/6.83 tff(26670,plain,
% 9.25/6.83 (~v19(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26669, 26660])).
% 9.25/6.83 tff(26671,plain,
% 9.25/6.83 ((~(v19(constB54) <=> (v20(constB54) | v21(constB54)))) | v19(constB54) | (~(v20(constB54) | v21(constB54)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26672,plain,
% 9.25/6.83 (~(v20(constB54) | v21(constB54))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26671, 26670, 26650])).
% 9.25/6.83 tff(26673,plain,
% 9.25/6.83 ((v20(constB54) | v21(constB54)) | (~v21(constB54))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26674,plain,
% 9.25/6.83 (~v21(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26673, 26672])).
% 9.25/6.83 tff(26675,plain,
% 9.25/6.83 ((~((~v21(constB54)) <=> v6(constB54))) | v21(constB54) | v6(constB54)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26676,plain,
% 9.25/6.83 (v6(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26675, 26674, 26648])).
% 9.25/6.83 tff(26677,plain,
% 9.25/6.83 ((~(v6(constB54) <=> v13(constB54))) | (~v6(constB54)) | v13(constB54)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26678,plain,
% 9.25/6.83 (v13(constB54)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26677, 26676, 26646])).
% 9.25/6.83 tff(26679,plain,
% 9.25/6.83 ((~(v13(constB54) <=> v9(constB53))) | (~v13(constB54)) | v9(constB53)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26680,plain,
% 9.25/6.83 (v9(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26679, 26678, 26644])).
% 9.25/6.83 tff(26681,plain,
% 9.25/6.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB53)) <=> v1(constB53))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26682,plain,
% 9.25/6.83 ((~v39(constB53)) <=> v1(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26681, 129])).
% 9.25/6.83 tff(26683,plain,
% 9.25/6.83 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53) | v1(constB53)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26684,plain,
% 9.25/6.83 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26683, 7174])).
% 9.25/6.83 tff(26685,plain,
% 9.25/6.83 (v39(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26684, 26682])).
% 9.25/6.83 tff(26686,plain,
% 9.25/6.83 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v39(constB53)) | (~v9(constB53))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26687,plain,
% 9.25/6.83 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v9(constB53))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26686, 26685])).
% 9.25/6.83 tff(26688,plain,
% 9.25/6.83 (~((~v39(constB53)) | (~v9(constB53)))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26687, 26680])).
% 9.25/6.83 tff(26689,plain,
% 9.25/6.83 ((~(v184(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))) | v184(constB53) | ((~v39(constB53)) | (~v9(constB53)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26690,plain,
% 9.25/6.83 (v184(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26689, 26688, 26640])).
% 9.25/6.83 tff(26691,plain,
% 9.25/6.83 ((v184(constB53) | v26(constB53)) | (~v184(constB53))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26692,plain,
% 9.25/6.83 (v184(constB53) | v26(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26691, 26690])).
% 9.25/6.83 tff(26693,plain,
% 9.25/6.83 ((~(v183(constB53) <=> (v184(constB53) | v26(constB53)))) | v183(constB53) | (~(v184(constB53) | v26(constB53)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26694,plain,
% 9.25/6.83 (v183(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26693, 26692, 26638])).
% 9.25/6.83 tff(26695,plain,
% 9.25/6.83 ((~((~v182(constB53)) <=> v183(constB53))) | (~v182(constB53)) | (~v183(constB53))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26696,plain,
% 9.25/6.83 (~v182(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26695, 26694, 26636])).
% 9.25/6.83 tff(26697,plain,
% 9.25/6.83 (((~v157(constB53)) | (~v182(constB53))) | v182(constB53)),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26698,plain,
% 9.25/6.83 ((~v157(constB53)) | (~v182(constB53))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26697, 26696])).
% 9.25/6.83 tff(26699,plain,
% 9.25/6.83 ((~(v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53)))))) | (~v181(constB53)) | (~((~v157(constB53)) | (~v182(constB53))))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26700,plain,
% 9.25/6.83 (~v181(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26699, 26698, 26634])).
% 9.25/6.83 tff(26701,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB53) <=> (~((~v186(constB53)) | (~v187(constB53)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26702,plain,
% 9.25/6.83 (v185(constB53) <=> (~((~v186(constB53)) | (~v187(constB53))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26701, 96])).
% 9.25/6.83 tff(26703,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB53) <=> (~((~v184(constB53)) | (~v159(constB53)))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26704,plain,
% 9.25/6.83 (v187(constB53) <=> (~((~v184(constB53)) | (~v159(constB53))))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26703, 108])).
% 9.25/6.83 tff(26705,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB53) <=> v161(constB53))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26706,plain,
% 9.25/6.83 (v159(constB53) <=> v161(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26705, 345])).
% 9.25/6.83 tff(26707,plain,
% 9.25/6.83 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2))))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26708,plain,
% 9.25/6.83 (v139(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2)))),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26707, 360])).
% 9.25/6.83 tff(26709,plain,
% 9.25/6.83 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB53, bitIndex1) <=> v90(constB53, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB53, bitIndex1) <=> v90(constB53, bitIndex1)))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26710,plain,
% 9.25/6.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB53, bitIndex1) <=> v90(constB53, bitIndex1)))),
% 9.25/6.83 inference(quant_inst,[status(thm)],[])).
% 9.25/6.83 tff(26711,plain,
% 9.25/6.83 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB53, bitIndex1) <=> v90(constB53, bitIndex1))),
% 9.25/6.83 inference(modus_ponens,[status(thm)],[26710, 26709])).
% 9.25/6.83 tff(26712,plain,
% 9.25/6.83 (v88(constB53, bitIndex1) <=> v90(constB53, bitIndex1)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26711, 375, 372])).
% 9.25/6.83 tff(26713,plain,
% 9.25/6.83 ((~(v88(constB53, bitIndex1) <=> v90(constB53, bitIndex1))) | v88(constB53, bitIndex1) | (~v90(constB53, bitIndex1))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26714,plain,
% 9.25/6.83 (v88(constB53, bitIndex1)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26713, 14126, 26712])).
% 9.25/6.83 tff(26715,plain,
% 9.25/6.83 ((v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2)) | (~v88(constB53, bitIndex1))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26716,plain,
% 9.25/6.83 (v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26715, 26714])).
% 9.25/6.83 tff(26717,plain,
% 9.25/6.83 ((~(v139(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2))))) | (~v139(constB53)) | (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2)))),
% 9.25/6.83 inference(tautology,[status(thm)],[])).
% 9.25/6.83 tff(26718,plain,
% 9.25/6.83 (~v139(constB53)),
% 9.25/6.83 inference(unit_resolution,[status(thm)],[26717, 26716, 26708])).
% 9.25/6.83 tff(26719,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0))))))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26720,plain,
% 9.25/6.83 ((v140(constB53) <=> (~(v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0))))) <=> (v140(constB53) <=> (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0)))))),
% 9.25/6.83 inference(rewrite,[status(thm)],[])).
% 9.25/6.83 tff(26721,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0))))))),
% 9.25/6.83 inference(monotonicity,[status(thm)],[26720])).
% 9.25/6.83 tff(26722,plain,
% 9.25/6.83 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0))))))),
% 9.25/6.84 inference(transitivity,[status(thm)],[26721, 26719])).
% 9.25/6.84 tff(26723,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0)))))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26724,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0)))))),
% 9.25/6.84 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 9.25/6.84 tff(26725,plain,
% 9.25/6.84 (v140(constB53) <=> (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0))))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26724, 25795])).
% 9.25/6.84 tff(26726,plain,
% 9.25/6.84 ((v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0))) | (~v88(constB53, bitIndex1))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26727,plain,
% 9.25/6.84 (v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26726, 26714])).
% 9.25/6.84 tff(26728,plain,
% 9.25/6.84 ((~(v140(constB53) <=> (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0)))))) | (~v140(constB53)) | (~(v88(constB53, bitIndex2) | v88(constB53, bitIndex1) | (~v88(constB53, bitIndex0))))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26729,plain,
% 9.25/6.84 (~v140(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26728, 26727, 26725])).
% 9.25/6.84 tff(26730,plain,
% 9.25/6.84 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v168(constB53)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB53) | v140(constB53) | (~v168(constB53)))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26731,plain,
% 9.25/6.84 ((v140(constB53) | v139(constB53) | (~v168(constB53))) <=> (v139(constB53) | v140(constB53) | (~v168(constB53)))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26732,plain,
% 9.25/6.84 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v168(constB53)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v168(constB53))))),
% 9.25/6.84 inference(monotonicity,[status(thm)],[26731])).
% 9.25/6.84 tff(26733,plain,
% 9.25/6.84 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v168(constB53)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB53) | v140(constB53) | (~v168(constB53)))),
% 9.25/6.84 inference(transitivity,[status(thm)],[26732, 26730])).
% 9.25/6.84 tff(26734,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v168(constB53)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26735,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB53) | v140(constB53) | (~v168(constB53))),
% 9.25/6.84 inference(modus_ponens,[status(thm)],[26734, 26733])).
% 9.25/6.84 tff(26736,plain,
% 9.25/6.84 (v139(constB53) | v140(constB53) | (~v168(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26735, 25819])).
% 9.25/6.84 tff(26737,plain,
% 9.25/6.84 (~v168(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26736, 26729, 26718])).
% 9.25/6.84 tff(26738,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB53) <=> (v145(constB53) | v165(constB53)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26739,plain,
% 9.25/6.84 (v164(constB53) <=> (v145(constB53) | v165(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26738, 25834])).
% 9.25/6.84 tff(26740,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB53) <=> (v142(constB53) | v166(constB53)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26741,plain,
% 9.25/6.84 (v165(constB53) <=> (v142(constB53) | v166(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26740, 25846])).
% 9.25/6.84 tff(26742,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB53) <=> (v143(constB53) | v144(constB53)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26743,plain,
% 9.25/6.84 (v142(constB53) <=> (v143(constB53) | v144(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26742, 25855])).
% 9.25/6.84 tff(26744,plain,
% 9.25/6.84 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0)))))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26745,plain,
% 9.25/6.84 ((v143(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1))))) <=> (v143(constB53) <=> (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0))))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26746,plain,
% 9.25/6.84 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0)))))),
% 9.25/6.84 inference(monotonicity,[status(thm)],[26745])).
% 9.25/6.84 tff(26747,plain,
% 9.25/6.84 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0)))))),
% 9.25/6.84 inference(transitivity,[status(thm)],[26746, 26744])).
% 9.25/6.84 tff(26748,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)))))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26749,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0))))),
% 9.25/6.84 inference(modus_ponens,[status(thm)],[26748, 26747])).
% 9.25/6.84 tff(26750,plain,
% 9.25/6.84 (v143(constB53) <=> (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0)))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26749, 25870])).
% 9.25/6.84 tff(26751,plain,
% 9.25/6.84 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB53, bitIndex2) <=> v90(constB53, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB53, bitIndex2) <=> v90(constB53, bitIndex2)))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26752,plain,
% 9.25/6.84 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB53, bitIndex2) <=> v90(constB53, bitIndex2)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26753,plain,
% 9.25/6.84 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB53, bitIndex2) <=> v90(constB53, bitIndex2))),
% 9.25/6.84 inference(modus_ponens,[status(thm)],[26752, 26751])).
% 9.25/6.84 tff(26754,plain,
% 9.25/6.84 (v88(constB53, bitIndex2) <=> v90(constB53, bitIndex2)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26753, 648, 372])).
% 9.25/6.84 tff(26755,plain,
% 9.25/6.84 ((~(v88(constB53, bitIndex2) <=> v90(constB53, bitIndex2))) | (~v88(constB53, bitIndex2)) | v90(constB53, bitIndex2)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26756,plain,
% 9.25/6.84 (~v88(constB53, bitIndex2)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26755, 14064, 26754])).
% 9.25/6.84 tff(26757,plain,
% 9.25/6.84 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB53, bitIndex0) <=> v90(constB53, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB53, bitIndex0) <=> v90(constB53, bitIndex0)))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26758,plain,
% 9.25/6.84 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB53, bitIndex0) <=> v90(constB53, bitIndex0)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26759,plain,
% 9.25/6.84 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB53, bitIndex0) <=> v90(constB53, bitIndex0))),
% 9.25/6.84 inference(modus_ponens,[status(thm)],[26758, 26757])).
% 9.25/6.84 tff(26760,plain,
% 9.25/6.84 (v88(constB53, bitIndex0) <=> v90(constB53, bitIndex0)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26759, 9653, 372])).
% 9.25/6.84 tff(26761,plain,
% 9.25/6.84 ((~(v88(constB53, bitIndex0) <=> v90(constB53, bitIndex0))) | (~v88(constB53, bitIndex0)) | v90(constB53, bitIndex0)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26762,plain,
% 9.25/6.84 (~v88(constB53, bitIndex0)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26761, 14095, 26760])).
% 9.25/6.84 tff(26763,plain,
% 9.25/6.84 ((~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0))) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26764,plain,
% 9.25/6.84 (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26763, 26714, 26762, 26756])).
% 9.25/6.84 tff(26765,plain,
% 9.25/6.84 ((~(v143(constB53) <=> (~(v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0))))) | v143(constB53) | (v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26766,plain,
% 9.25/6.84 (v143(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26765, 26764, 26750])).
% 9.25/6.84 tff(26767,plain,
% 9.25/6.84 ((v143(constB53) | v144(constB53)) | (~v143(constB53))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26768,plain,
% 9.25/6.84 (v143(constB53) | v144(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26767, 26766])).
% 9.25/6.84 tff(26769,plain,
% 9.25/6.84 ((~(v142(constB53) <=> (v143(constB53) | v144(constB53)))) | v142(constB53) | (~(v143(constB53) | v144(constB53)))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26770,plain,
% 9.25/6.84 (v142(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26769, 26768, 26743])).
% 9.25/6.84 tff(26771,plain,
% 9.25/6.84 ((v142(constB53) | v166(constB53)) | (~v142(constB53))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26772,plain,
% 9.25/6.84 (v142(constB53) | v166(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26771, 26770])).
% 9.25/6.84 tff(26773,plain,
% 9.25/6.84 ((~(v165(constB53) <=> (v142(constB53) | v166(constB53)))) | v165(constB53) | (~(v142(constB53) | v166(constB53)))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26774,plain,
% 9.25/6.84 (v165(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26773, 26772, 26741])).
% 9.25/6.84 tff(26775,plain,
% 9.25/6.84 ((v145(constB53) | v165(constB53)) | (~v165(constB53))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26776,plain,
% 9.25/6.84 (v145(constB53) | v165(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26775, 26774])).
% 9.25/6.84 tff(26777,plain,
% 9.25/6.84 ((~(v164(constB53) <=> (v145(constB53) | v165(constB53)))) | v164(constB53) | (~(v145(constB53) | v165(constB53)))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26778,plain,
% 9.25/6.84 (v164(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26777, 26776, 26739])).
% 9.25/6.84 tff(26779,plain,
% 9.25/6.84 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB53)) | (v161(constB53) <=> v168(constB53)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB53)) | (v161(constB53) <=> v168(constB53)))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26780,plain,
% 9.25/6.84 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB53)) | (v161(constB53) <=> v168(constB53)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26781,plain,
% 9.25/6.84 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB53)) | (v161(constB53) <=> v168(constB53))),
% 9.25/6.84 inference(modus_ponens,[status(thm)],[26780, 26779])).
% 9.25/6.84 tff(26782,plain,
% 9.25/6.84 ((~v164(constB53)) | (v161(constB53) <=> v168(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26781, 25977])).
% 9.25/6.84 tff(26783,plain,
% 9.25/6.84 (v161(constB53) <=> v168(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26782, 26778])).
% 9.25/6.84 tff(26784,plain,
% 9.25/6.84 ((~(v161(constB53) <=> v168(constB53))) | (~v161(constB53)) | v168(constB53)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26785,plain,
% 9.25/6.84 (~v161(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26784, 26783, 26737])).
% 9.25/6.84 tff(26786,plain,
% 9.25/6.84 ((~(v159(constB53) <=> v161(constB53))) | (~v159(constB53)) | v161(constB53)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26787,plain,
% 9.25/6.84 ((~(v159(constB53) <=> v161(constB53))) | (~v159(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26786, 26785])).
% 9.25/6.84 tff(26788,plain,
% 9.25/6.84 (~v159(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26787, 26706])).
% 9.25/6.84 tff(26789,plain,
% 9.25/6.84 (((~v184(constB53)) | (~v159(constB53))) | v159(constB53)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26790,plain,
% 9.25/6.84 ((~v184(constB53)) | (~v159(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26789, 26788])).
% 9.25/6.84 tff(26791,plain,
% 9.25/6.84 ((~(v187(constB53) <=> (~((~v184(constB53)) | (~v159(constB53)))))) | (~v187(constB53)) | (~((~v184(constB53)) | (~v159(constB53))))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26792,plain,
% 9.25/6.84 (~v187(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26791, 26790, 26704])).
% 9.25/6.84 tff(26793,plain,
% 9.25/6.84 (((~v186(constB53)) | (~v187(constB53))) | v187(constB53)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26794,plain,
% 9.25/6.84 ((~v186(constB53)) | (~v187(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26793, 26792])).
% 9.25/6.84 tff(26795,plain,
% 9.25/6.84 ((~(v185(constB53) <=> (~((~v186(constB53)) | (~v187(constB53)))))) | (~v185(constB53)) | (~((~v186(constB53)) | (~v187(constB53))))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26796,plain,
% 9.25/6.84 (~v185(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26795, 26794, 26702])).
% 9.25/6.84 tff(26797,plain,
% 9.25/6.84 ((~(v181(constB53) | v185(constB53))) | v181(constB53) | v185(constB53)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26798,plain,
% 9.25/6.84 (~(v181(constB53) | v185(constB53))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26797, 26796, 26700])).
% 9.25/6.84 tff(26799,plain,
% 9.25/6.84 ((~(v178(constB53) <=> (v181(constB53) | v185(constB53)))) | (~v178(constB53)) | (v181(constB53) | v185(constB53))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26800,plain,
% 9.25/6.84 (~v178(constB53)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26799, 26798, 26627])).
% 9.25/6.84 tff(26801,plain,
% 9.25/6.84 ((~(v180(constB54) <=> v178(constB53))) | (~v180(constB54)) | v178(constB53)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26802,plain,
% 9.25/6.84 (~v180(constB54)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26801, 26800, 26625])).
% 9.25/6.84 tff(26803,plain,
% 9.25/6.84 ((~(v157(constB54) <=> v180(constB54))) | (~v157(constB54)) | v180(constB54)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26804,plain,
% 9.25/6.84 (~v157(constB54)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26803, 26802, 26621])).
% 9.25/6.84 tff(26805,plain,
% 9.25/6.84 (((~v157(constB54)) | (~v182(constB54))) | v157(constB54)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26806,plain,
% 9.25/6.84 ((~v157(constB54)) | (~v182(constB54))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26805, 26804])).
% 9.25/6.84 tff(26807,plain,
% 9.25/6.84 ((~(v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54)))))) | (~v181(constB54)) | (~((~v157(constB54)) | (~v182(constB54))))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26808,plain,
% 9.25/6.84 (~v181(constB54)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26807, 26806, 26619])).
% 9.25/6.84 tff(26809,plain,
% 9.25/6.84 ((~(v181(constB54) | v185(constB54))) | v181(constB54) | v185(constB54)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26810,plain,
% 9.25/6.84 (~(v181(constB54) | v185(constB54))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26809, 26808, 26612])).
% 9.25/6.84 tff(26811,plain,
% 9.25/6.84 ((~(v178(constB54) <=> (v181(constB54) | v185(constB54)))) | (~v178(constB54)) | (v181(constB54) | v185(constB54))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26812,plain,
% 9.25/6.84 (~v178(constB54)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26811, 26810, 26587])).
% 9.25/6.84 tff(26813,plain,
% 9.25/6.84 ((~(v180(constB55) <=> v178(constB54))) | (~v180(constB55)) | v178(constB54)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26814,plain,
% 9.25/6.84 (~v180(constB55)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26813, 26812, 26585])).
% 9.25/6.84 tff(26815,plain,
% 9.25/6.84 ($false),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26814, 26581])).
% 9.25/6.84 tff(26816,plain,(~(constB55 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.25/6.84 tff(26817,assumption,(constB159 = VarCurr!0), introduced(assumption)).
% 9.25/6.84 tff(26818,plain,
% 9.25/6.84 (v180(constB159) <=> v180(VarCurr!0)),
% 9.25/6.84 inference(monotonicity,[status(thm)],[26817])).
% 9.25/6.84 tff(26819,plain,
% 9.25/6.84 (v180(VarCurr!0) <=> v180(constB159)),
% 9.25/6.84 inference(symmetry,[status(thm)],[26818])).
% 9.25/6.84 tff(26820,plain,
% 9.25/6.84 (v180(constB159)),
% 9.25/6.84 inference(modus_ponens,[status(thm)],[59, 26819])).
% 9.25/6.84 tff(26821,plain,
% 9.25/6.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> v178(constB158)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB158, constB159)) | (v180(constB159) <=> v178(constB158)))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26822,plain,
% 9.25/6.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> v178(constB158)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26823,plain,
% 9.25/6.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB158, constB159)) | (v180(constB159) <=> v178(constB158))),
% 9.25/6.84 inference(modus_ponens,[status(thm)],[26822, 26821])).
% 9.25/6.84 tff(26824,plain,
% 9.25/6.84 (v180(constB159) <=> v178(constB158)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26823, 2344, 70])).
% 9.25/6.84 tff(26825,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB158) <=> (v181(constB158) | v185(constB158)))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26826,plain,
% 9.25/6.84 (v178(constB158) <=> (v181(constB158) | v185(constB158))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26825, 84])).
% 9.25/6.84 tff(26827,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB158) <=> (~((~v186(constB158)) | (~v187(constB158)))))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26828,plain,
% 9.25/6.84 (v185(constB158) <=> (~((~v186(constB158)) | (~v187(constB158))))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26827, 96])).
% 9.25/6.84 tff(26829,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB158) <=> (~((~v184(constB158)) | (~v159(constB158)))))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26830,plain,
% 9.25/6.84 (v187(constB158) <=> (~((~v184(constB158)) | (~v159(constB158))))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26829, 108])).
% 9.25/6.84 tff(26831,plain,
% 9.25/6.84 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26832,plain,
% 9.25/6.84 (v184(constB158) <=> (~((~v39(constB158)) | (~v9(constB158))))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26831, 120])).
% 9.25/6.84 tff(26833,plain,
% 9.25/6.84 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB158)) <=> v1(constB158))),
% 9.25/6.84 inference(quant_inst,[status(thm)],[])).
% 9.25/6.84 tff(26834,plain,
% 9.25/6.84 ((~v39(constB158)) <=> v1(constB158)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26833, 129])).
% 9.25/6.84 tff(26835,plain,
% 9.25/6.84 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158)) | (~v1(constB158))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26836,plain,
% 9.25/6.84 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26835, 2406])).
% 9.25/6.84 tff(26837,plain,
% 9.25/6.84 (~v39(constB158)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26836, 26834])).
% 9.25/6.84 tff(26838,plain,
% 9.25/6.84 (((~v39(constB158)) | (~v9(constB158))) | v39(constB158)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26839,plain,
% 9.25/6.84 ((~v39(constB158)) | (~v9(constB158))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26838, 26837])).
% 9.25/6.84 tff(26840,plain,
% 9.25/6.84 ((~(v184(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v184(constB158)) | (~((~v39(constB158)) | (~v9(constB158))))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26841,plain,
% 9.25/6.84 ((~(v184(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v184(constB158))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26840, 26839])).
% 9.25/6.84 tff(26842,plain,
% 9.25/6.84 (~v184(constB158)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26841, 26832])).
% 9.25/6.84 tff(26843,plain,
% 9.25/6.84 (((~v184(constB158)) | (~v159(constB158))) | v184(constB158)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26844,plain,
% 9.25/6.84 ((~v184(constB158)) | (~v159(constB158))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26843, 26842])).
% 9.25/6.84 tff(26845,plain,
% 9.25/6.84 ((~(v187(constB158) <=> (~((~v184(constB158)) | (~v159(constB158)))))) | (~v187(constB158)) | (~((~v184(constB158)) | (~v159(constB158))))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26846,plain,
% 9.25/6.84 ((~(v187(constB158) <=> (~((~v184(constB158)) | (~v159(constB158)))))) | (~v187(constB158))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26845, 26844])).
% 9.25/6.84 tff(26847,plain,
% 9.25/6.84 (~v187(constB158)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26846, 26830])).
% 9.25/6.84 tff(26848,plain,
% 9.25/6.84 (((~v186(constB158)) | (~v187(constB158))) | v187(constB158)),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26849,plain,
% 9.25/6.84 ((~v186(constB158)) | (~v187(constB158))),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26848, 26847])).
% 9.25/6.84 tff(26850,plain,
% 9.25/6.84 ((~(v185(constB158) <=> (~((~v186(constB158)) | (~v187(constB158)))))) | (~v185(constB158)) | (~((~v186(constB158)) | (~v187(constB158))))),
% 9.25/6.84 inference(tautology,[status(thm)],[])).
% 9.25/6.84 tff(26851,plain,
% 9.25/6.84 (~v185(constB158)),
% 9.25/6.84 inference(unit_resolution,[status(thm)],[26850, 26849, 26828])).
% 9.25/6.84 tff(26852,plain,
% 9.25/6.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158))))))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26853,plain,
% 9.25/6.84 ((v181(constB158) <=> (~((~v182(constB158)) | (~v157(constB158))))) <=> (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158)))))),
% 9.25/6.84 inference(rewrite,[status(thm)],[])).
% 9.25/6.84 tff(26854,plain,
% 9.25/6.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v182(constB158)) | (~v157(constB158)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158))))))),
% 9.27/6.84 inference(monotonicity,[status(thm)],[26853])).
% 9.27/6.84 tff(26855,plain,
% 9.27/6.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v182(constB158)) | (~v157(constB158)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158))))))),
% 9.27/6.84 inference(transitivity,[status(thm)],[26854, 26852])).
% 9.27/6.84 tff(26856,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v182(constB158)) | (~v157(constB158)))))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26857,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158)))))),
% 9.27/6.84 inference(modus_ponens,[status(thm)],[26856, 26855])).
% 9.27/6.84 tff(26858,plain,
% 9.27/6.84 (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158))))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26857, 161])).
% 9.27/6.84 tff(26859,plain,
% 9.27/6.84 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB158) <=> v180(constB158))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26860,plain,
% 9.27/6.84 (v157(constB158) <=> v180(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26859, 13])).
% 9.27/6.84 tff(26861,plain,
% 9.27/6.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> v178(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB157, constB158)) | (v180(constB158) <=> v178(constB157)))),
% 9.27/6.84 inference(rewrite,[status(thm)],[])).
% 9.27/6.84 tff(26862,plain,
% 9.27/6.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> v178(constB157)))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26863,plain,
% 9.27/6.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB157, constB158)) | (v180(constB158) <=> v178(constB157))),
% 9.27/6.84 inference(modus_ponens,[status(thm)],[26862, 26861])).
% 9.27/6.84 tff(26864,plain,
% 9.27/6.84 (v180(constB158) <=> v178(constB157)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26863, 2376, 70])).
% 9.27/6.84 tff(26865,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB157) <=> (v181(constB157) | v185(constB157)))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26866,plain,
% 9.27/6.84 (v178(constB157) <=> (v181(constB157) | v185(constB157))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26865, 84])).
% 9.27/6.84 tff(26867,plain,
% 9.27/6.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157))))))),
% 9.27/6.84 inference(rewrite,[status(thm)],[])).
% 9.27/6.84 tff(26868,plain,
% 9.27/6.84 ((v181(constB157) <=> (~((~v182(constB157)) | (~v157(constB157))))) <=> (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157)))))),
% 9.27/6.84 inference(rewrite,[status(thm)],[])).
% 9.27/6.84 tff(26869,plain,
% 9.27/6.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v182(constB157)) | (~v157(constB157)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157))))))),
% 9.27/6.84 inference(monotonicity,[status(thm)],[26868])).
% 9.27/6.84 tff(26870,plain,
% 9.27/6.84 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v182(constB157)) | (~v157(constB157)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157))))))),
% 9.27/6.84 inference(transitivity,[status(thm)],[26869, 26867])).
% 9.27/6.84 tff(26871,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v182(constB157)) | (~v157(constB157)))))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26872,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157)))))),
% 9.27/6.84 inference(modus_ponens,[status(thm)],[26871, 26870])).
% 9.27/6.84 tff(26873,plain,
% 9.27/6.84 (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157))))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26872, 161])).
% 9.27/6.84 tff(26874,plain,
% 9.27/6.84 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB157)) <=> v183(constB157))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26875,plain,
% 9.27/6.84 ((~v182(constB157)) <=> v183(constB157)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26874, 193])).
% 9.27/6.84 tff(26876,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB157) <=> (v184(constB157) | v26(constB157)))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26877,plain,
% 9.27/6.84 (v183(constB157) <=> (v184(constB157) | v26(constB157))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26876, 202])).
% 9.27/6.84 tff(26878,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB157) <=> (~((~v39(constB157)) | (~v9(constB157)))))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26879,plain,
% 9.27/6.84 (v184(constB157) <=> (~((~v39(constB157)) | (~v9(constB157))))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26878, 120])).
% 9.27/6.84 tff(26880,plain,
% 9.27/6.84 (((~![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)))),
% 9.27/6.84 inference(rewrite,[status(thm)],[])).
% 9.27/6.84 tff(26881,plain,
% 9.27/6.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26882,plain,
% 9.27/6.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157))),
% 9.27/6.84 inference(modus_ponens,[status(thm)],[26881, 26880])).
% 9.27/6.84 tff(26883,plain,
% 9.27/6.84 (v13(constB158) <=> v9(constB157)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26882, 2376, 216])).
% 9.27/6.84 tff(26884,plain,
% 9.27/6.84 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB158) <=> v13(constB158))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26885,plain,
% 9.27/6.84 (v6(constB158) <=> v13(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26884, 230])).
% 9.27/6.84 tff(26886,plain,
% 9.27/6.84 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB158)) <=> v6(constB158))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26887,plain,
% 9.27/6.84 ((~v21(constB158)) <=> v6(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26886, 239])).
% 9.27/6.84 tff(26888,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB158) <=> (v20(constB158) | v21(constB158)))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26889,plain,
% 9.27/6.84 (v19(constB158) <=> (v20(constB158) | v21(constB158))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26888, 248])).
% 9.27/6.84 tff(26890,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158)))))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26891,plain,
% 9.27/6.84 (v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158))))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26890, 260])).
% 9.27/6.84 tff(26892,plain,
% 9.27/6.84 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB158)) <=> v18(constB158))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26893,plain,
% 9.27/6.84 ((~v4(constB158)) <=> v18(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26892, 269])).
% 9.27/6.84 tff(26894,plain,
% 9.27/6.84 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB158)),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26895,plain,
% 9.27/6.84 (v4(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26894, 278])).
% 9.27/6.84 tff(26896,plain,
% 9.27/6.84 ((~((~v4(constB158)) <=> v18(constB158))) | (~v4(constB158)) | (~v18(constB158))),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26897,plain,
% 9.27/6.84 (~v18(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26896, 26895, 26893])).
% 9.27/6.84 tff(26898,plain,
% 9.27/6.84 ((~(v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158)))))) | v18(constB158) | ((~v19(constB158)) | (~v22(constB158)))),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26899,plain,
% 9.27/6.84 ((~v19(constB158)) | (~v22(constB158))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26898, 26897, 26891])).
% 9.27/6.84 tff(26900,plain,
% 9.27/6.84 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB158) <=> (v1(constB158) | v6(constB158)))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26901,plain,
% 9.27/6.84 (v22(constB158) <=> (v1(constB158) | v6(constB158))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26900, 291])).
% 9.27/6.84 tff(26902,plain,
% 9.27/6.84 ((v1(constB158) | v6(constB158)) | (~v1(constB158))),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26903,plain,
% 9.27/6.84 (v1(constB158) | v6(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26902, 2406])).
% 9.27/6.84 tff(26904,plain,
% 9.27/6.84 ((~(v22(constB158) <=> (v1(constB158) | v6(constB158)))) | v22(constB158) | (~(v1(constB158) | v6(constB158)))),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26905,plain,
% 9.27/6.84 ((~(v22(constB158) <=> (v1(constB158) | v6(constB158)))) | v22(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26904, 26903])).
% 9.27/6.84 tff(26906,plain,
% 9.27/6.84 (v22(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26905, 26901])).
% 9.27/6.84 tff(26907,plain,
% 9.27/6.84 ((~((~v19(constB158)) | (~v22(constB158)))) | (~v19(constB158)) | (~v22(constB158))),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26908,plain,
% 9.27/6.84 ((~((~v19(constB158)) | (~v22(constB158)))) | (~v19(constB158))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26907, 26906])).
% 9.27/6.84 tff(26909,plain,
% 9.27/6.84 (~v19(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26908, 26899])).
% 9.27/6.84 tff(26910,plain,
% 9.27/6.84 ((~(v19(constB158) <=> (v20(constB158) | v21(constB158)))) | v19(constB158) | (~(v20(constB158) | v21(constB158)))),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26911,plain,
% 9.27/6.84 (~(v20(constB158) | v21(constB158))),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26910, 26909, 26889])).
% 9.27/6.84 tff(26912,plain,
% 9.27/6.84 ((v20(constB158) | v21(constB158)) | (~v21(constB158))),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26913,plain,
% 9.27/6.84 (~v21(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26912, 26911])).
% 9.27/6.84 tff(26914,plain,
% 9.27/6.84 ((~((~v21(constB158)) <=> v6(constB158))) | v21(constB158) | v6(constB158)),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26915,plain,
% 9.27/6.84 (v6(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26914, 26913, 26887])).
% 9.27/6.84 tff(26916,plain,
% 9.27/6.84 ((~(v6(constB158) <=> v13(constB158))) | (~v6(constB158)) | v13(constB158)),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26917,plain,
% 9.27/6.84 (v13(constB158)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26916, 26915, 26885])).
% 9.27/6.84 tff(26918,plain,
% 9.27/6.84 ((~(v13(constB158) <=> v9(constB157))) | (~v13(constB158)) | v9(constB157)),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26919,plain,
% 9.27/6.84 (v9(constB157)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26918, 26917, 26883])).
% 9.27/6.84 tff(26920,plain,
% 9.27/6.84 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB157)) <=> v1(constB157))),
% 9.27/6.84 inference(quant_inst,[status(thm)],[])).
% 9.27/6.84 tff(26921,plain,
% 9.27/6.84 ((~v39(constB157)) <=> v1(constB157)),
% 9.27/6.84 inference(unit_resolution,[status(thm)],[26920, 129])).
% 9.27/6.84 tff(26922,plain,
% 9.27/6.84 ((~((~v39(constB157)) <=> v1(constB157))) | v39(constB157) | v1(constB157)),
% 9.27/6.84 inference(tautology,[status(thm)],[])).
% 9.27/6.84 tff(26923,plain,
% 9.27/6.84 ((~((~v39(constB157)) <=> v1(constB157))) | v39(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26922, 2398])).
% 9.27/6.85 tff(26924,plain,
% 9.27/6.85 (v39(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26923, 26921])).
% 9.27/6.85 tff(26925,plain,
% 9.27/6.85 ((~((~v39(constB157)) | (~v9(constB157)))) | (~v39(constB157)) | (~v9(constB157))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26926,plain,
% 9.27/6.85 ((~((~v39(constB157)) | (~v9(constB157)))) | (~v9(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26925, 26924])).
% 9.27/6.85 tff(26927,plain,
% 9.27/6.85 (~((~v39(constB157)) | (~v9(constB157)))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26926, 26919])).
% 9.27/6.85 tff(26928,plain,
% 9.27/6.85 ((~(v184(constB157) <=> (~((~v39(constB157)) | (~v9(constB157)))))) | v184(constB157) | ((~v39(constB157)) | (~v9(constB157)))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26929,plain,
% 9.27/6.85 (v184(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26928, 26927, 26879])).
% 9.27/6.85 tff(26930,plain,
% 9.27/6.85 ((v184(constB157) | v26(constB157)) | (~v184(constB157))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26931,plain,
% 9.27/6.85 (v184(constB157) | v26(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26930, 26929])).
% 9.27/6.85 tff(26932,plain,
% 9.27/6.85 ((~(v183(constB157) <=> (v184(constB157) | v26(constB157)))) | v183(constB157) | (~(v184(constB157) | v26(constB157)))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26933,plain,
% 9.27/6.85 (v183(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26932, 26931, 26877])).
% 9.27/6.85 tff(26934,plain,
% 9.27/6.85 ((~((~v182(constB157)) <=> v183(constB157))) | (~v182(constB157)) | (~v183(constB157))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26935,plain,
% 9.27/6.85 (~v182(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26934, 26933, 26875])).
% 9.27/6.85 tff(26936,plain,
% 9.27/6.85 (((~v157(constB157)) | (~v182(constB157))) | v182(constB157)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26937,plain,
% 9.27/6.85 ((~v157(constB157)) | (~v182(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26936, 26935])).
% 9.27/6.85 tff(26938,plain,
% 9.27/6.85 ((~(v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157)))))) | (~v181(constB157)) | (~((~v157(constB157)) | (~v182(constB157))))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26939,plain,
% 9.27/6.85 (~v181(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26938, 26937, 26873])).
% 9.27/6.85 tff(26940,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB157) <=> (~((~v186(constB157)) | (~v187(constB157)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26941,plain,
% 9.27/6.85 (v185(constB157) <=> (~((~v186(constB157)) | (~v187(constB157))))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26940, 96])).
% 9.27/6.85 tff(26942,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB157) <=> (~((~v184(constB157)) | (~v159(constB157)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26943,plain,
% 9.27/6.85 (v187(constB157) <=> (~((~v184(constB157)) | (~v159(constB157))))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26942, 108])).
% 9.27/6.85 tff(26944,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB157) <=> v161(constB157))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26945,plain,
% 9.27/6.85 (v159(constB157) <=> v161(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26944, 345])).
% 9.27/6.85 tff(26946,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB157) <=> (~(v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26947,plain,
% 9.27/6.85 (v139(constB157) <=> (~(v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2)))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26946, 360])).
% 9.27/6.85 tff(26948,plain,
% 9.27/6.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2)))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(26949,plain,
% 9.27/6.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26950,plain,
% 9.27/6.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[26949, 26948])).
% 9.27/6.85 tff(26951,plain,
% 9.27/6.85 (v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26950, 648, 372])).
% 9.27/6.85 tff(26952,plain,
% 9.27/6.85 ((~(v88(constB157, bitIndex2) <=> v90(constB157, bitIndex2))) | v88(constB157, bitIndex2) | (~v90(constB157, bitIndex2))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26953,plain,
% 9.27/6.85 (v88(constB157, bitIndex2)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26952, 22480, 26951])).
% 9.27/6.85 tff(26954,plain,
% 9.27/6.85 ((v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex2))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26955,plain,
% 9.27/6.85 (v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26954, 26953])).
% 9.27/6.85 tff(26956,plain,
% 9.27/6.85 ((~(v139(constB157) <=> (~(v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2))))) | (~v139(constB157)) | (~(v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2)))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26957,plain,
% 9.27/6.85 (~v139(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26956, 26955, 26947])).
% 9.27/6.85 tff(26958,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(26959,plain,
% 9.27/6.85 ((v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0))))) <=> (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(26960,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))))),
% 9.27/6.85 inference(monotonicity,[status(thm)],[26959])).
% 9.27/6.85 tff(26961,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))))),
% 9.27/6.85 inference(transitivity,[status(thm)],[26960, 26958])).
% 9.27/6.85 tff(26962,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26963,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[26962, 26961])).
% 9.27/6.85 tff(26964,plain,
% 9.27/6.85 (v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26963, 25795])).
% 9.27/6.85 tff(26965,plain,
% 9.27/6.85 ((v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))) | (~v88(constB157, bitIndex2))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26966,plain,
% 9.27/6.85 (v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26965, 26953])).
% 9.27/6.85 tff(26967,plain,
% 9.27/6.85 ((~(v140(constB157) <=> (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)))))) | (~v140(constB157)) | (~(v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0))))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26968,plain,
% 9.27/6.85 (~v140(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26967, 26966, 26964])).
% 9.27/6.85 tff(26969,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v168(constB157)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB157) | v139(constB157) | (~v168(constB157)))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(26970,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v168(constB157)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26971,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB157) | v139(constB157) | (~v168(constB157))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 9.27/6.85 tff(26972,plain,
% 9.27/6.85 (v140(constB157) | v139(constB157) | (~v168(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26971, 25819])).
% 9.27/6.85 tff(26973,plain,
% 9.27/6.85 (~v168(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26972, 26968, 26957])).
% 9.27/6.85 tff(26974,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB157) <=> (v145(constB157) | v165(constB157)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26975,plain,
% 9.27/6.85 (v164(constB157) <=> (v145(constB157) | v165(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26974, 25834])).
% 9.27/6.85 tff(26976,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB157) <=> (v142(constB157) | v166(constB157)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26977,plain,
% 9.27/6.85 (v165(constB157) <=> (v142(constB157) | v166(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26976, 25846])).
% 9.27/6.85 tff(26978,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB157) <=> (v143(constB157) | v144(constB157)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26979,plain,
% 9.27/6.85 (v142(constB157) <=> (v143(constB157) | v144(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26978, 25855])).
% 9.27/6.85 tff(26980,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0)))))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(26981,plain,
% 9.27/6.85 ((v144(constB157) <=> (~(v88(constB157, bitIndex0) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2))))) <=> (v144(constB157) <=> (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0))))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(26982,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~(v88(constB157, bitIndex0) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0)))))),
% 9.27/6.85 inference(monotonicity,[status(thm)],[26981])).
% 9.27/6.85 tff(26983,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~(v88(constB157, bitIndex0) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0)))))),
% 9.27/6.85 inference(transitivity,[status(thm)],[26982, 26980])).
% 9.27/6.85 tff(26984,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~(v88(constB157, bitIndex0) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26985,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0))))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[26984, 26983])).
% 9.27/6.85 tff(26986,plain,
% 9.27/6.85 (v144(constB157) <=> (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0)))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26985, 26095])).
% 9.27/6.85 tff(26987,plain,
% 9.27/6.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0)))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(26988,plain,
% 9.27/6.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26989,plain,
% 9.27/6.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[26988, 26987])).
% 9.27/6.85 tff(26990,plain,
% 9.27/6.85 (v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26989, 9653, 372])).
% 9.27/6.85 tff(26991,plain,
% 9.27/6.85 ((~(v88(constB157, bitIndex0) <=> v90(constB157, bitIndex0))) | (~v88(constB157, bitIndex0)) | v90(constB157, bitIndex0)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26992,plain,
% 9.27/6.85 (~v88(constB157, bitIndex0)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26991, 22511, 26990])).
% 9.27/6.85 tff(26993,plain,
% 9.27/6.85 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1)))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(26994,plain,
% 9.27/6.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(26995,plain,
% 9.27/6.85 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[26994, 26993])).
% 9.27/6.85 tff(26996,plain,
% 9.27/6.85 (v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26995, 375, 372])).
% 9.27/6.85 tff(26997,plain,
% 9.27/6.85 ((~(v88(constB157, bitIndex1) <=> v90(constB157, bitIndex1))) | v88(constB157, bitIndex1) | (~v90(constB157, bitIndex1))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(26998,plain,
% 9.27/6.85 (v88(constB157, bitIndex1)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26997, 22542, 26996])).
% 9.27/6.85 tff(26999,plain,
% 9.27/6.85 ((~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0))) | (~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27000,plain,
% 9.27/6.85 (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[26999, 26998, 26992, 26953])).
% 9.27/6.85 tff(27001,plain,
% 9.27/6.85 ((~(v144(constB157) <=> (~((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0))))) | v144(constB157) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27002,plain,
% 9.27/6.85 (v144(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27001, 27000, 26986])).
% 9.27/6.85 tff(27003,plain,
% 9.27/6.85 ((v143(constB157) | v144(constB157)) | (~v144(constB157))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27004,plain,
% 9.27/6.85 (v143(constB157) | v144(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27003, 27002])).
% 9.27/6.85 tff(27005,plain,
% 9.27/6.85 ((~(v142(constB157) <=> (v143(constB157) | v144(constB157)))) | v142(constB157) | (~(v143(constB157) | v144(constB157)))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27006,plain,
% 9.27/6.85 (v142(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27005, 27004, 26979])).
% 9.27/6.85 tff(27007,plain,
% 9.27/6.85 ((v142(constB157) | v166(constB157)) | (~v142(constB157))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27008,plain,
% 9.27/6.85 (v142(constB157) | v166(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27007, 27006])).
% 9.27/6.85 tff(27009,plain,
% 9.27/6.85 ((~(v165(constB157) <=> (v142(constB157) | v166(constB157)))) | v165(constB157) | (~(v142(constB157) | v166(constB157)))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27010,plain,
% 9.27/6.85 (v165(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27009, 27008, 26977])).
% 9.27/6.85 tff(27011,plain,
% 9.27/6.85 ((v145(constB157) | v165(constB157)) | (~v165(constB157))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27012,plain,
% 9.27/6.85 (v145(constB157) | v165(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27011, 27010])).
% 9.27/6.85 tff(27013,plain,
% 9.27/6.85 ((~(v164(constB157) <=> (v145(constB157) | v165(constB157)))) | v164(constB157) | (~(v145(constB157) | v165(constB157)))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27014,plain,
% 9.27/6.85 (v164(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27013, 27012, 26975])).
% 9.27/6.85 tff(27015,plain,
% 9.27/6.85 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB157)) | (v161(constB157) <=> v168(constB157)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB157)) | (v161(constB157) <=> v168(constB157)))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(27016,plain,
% 9.27/6.85 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB157)) | (v161(constB157) <=> v168(constB157)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27017,plain,
% 9.27/6.85 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB157)) | (v161(constB157) <=> v168(constB157))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[27016, 27015])).
% 9.27/6.85 tff(27018,plain,
% 9.27/6.85 ((~v164(constB157)) | (v161(constB157) <=> v168(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27017, 25977])).
% 9.27/6.85 tff(27019,plain,
% 9.27/6.85 (v161(constB157) <=> v168(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27018, 27014])).
% 9.27/6.85 tff(27020,plain,
% 9.27/6.85 ((~(v161(constB157) <=> v168(constB157))) | (~v161(constB157)) | v168(constB157)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27021,plain,
% 9.27/6.85 (~v161(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27020, 27019, 26973])).
% 9.27/6.85 tff(27022,plain,
% 9.27/6.85 ((~(v159(constB157) <=> v161(constB157))) | (~v159(constB157)) | v161(constB157)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27023,plain,
% 9.27/6.85 ((~(v159(constB157) <=> v161(constB157))) | (~v159(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27022, 27021])).
% 9.27/6.85 tff(27024,plain,
% 9.27/6.85 (~v159(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27023, 26945])).
% 9.27/6.85 tff(27025,plain,
% 9.27/6.85 (((~v184(constB157)) | (~v159(constB157))) | v159(constB157)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27026,plain,
% 9.27/6.85 ((~v184(constB157)) | (~v159(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27025, 27024])).
% 9.27/6.85 tff(27027,plain,
% 9.27/6.85 ((~(v187(constB157) <=> (~((~v184(constB157)) | (~v159(constB157)))))) | (~v187(constB157)) | (~((~v184(constB157)) | (~v159(constB157))))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27028,plain,
% 9.27/6.85 (~v187(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27027, 27026, 26943])).
% 9.27/6.85 tff(27029,plain,
% 9.27/6.85 (((~v186(constB157)) | (~v187(constB157))) | v187(constB157)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27030,plain,
% 9.27/6.85 ((~v186(constB157)) | (~v187(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27029, 27028])).
% 9.27/6.85 tff(27031,plain,
% 9.27/6.85 ((~(v185(constB157) <=> (~((~v186(constB157)) | (~v187(constB157)))))) | (~v185(constB157)) | (~((~v186(constB157)) | (~v187(constB157))))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27032,plain,
% 9.27/6.85 (~v185(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27031, 27030, 26941])).
% 9.27/6.85 tff(27033,plain,
% 9.27/6.85 ((~(v181(constB157) | v185(constB157))) | v181(constB157) | v185(constB157)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27034,plain,
% 9.27/6.85 (~(v181(constB157) | v185(constB157))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27033, 27032, 26939])).
% 9.27/6.85 tff(27035,plain,
% 9.27/6.85 ((~(v178(constB157) <=> (v181(constB157) | v185(constB157)))) | (~v178(constB157)) | (v181(constB157) | v185(constB157))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27036,plain,
% 9.27/6.85 (~v178(constB157)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27035, 27034, 26866])).
% 9.27/6.85 tff(27037,plain,
% 9.27/6.85 ((~(v180(constB158) <=> v178(constB157))) | (~v180(constB158)) | v178(constB157)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27038,plain,
% 9.27/6.85 (~v180(constB158)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27037, 27036, 26864])).
% 9.27/6.85 tff(27039,plain,
% 9.27/6.85 ((~(v157(constB158) <=> v180(constB158))) | (~v157(constB158)) | v180(constB158)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27040,plain,
% 9.27/6.85 (~v157(constB158)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27039, 27038, 26860])).
% 9.27/6.85 tff(27041,plain,
% 9.27/6.85 (((~v157(constB158)) | (~v182(constB158))) | v157(constB158)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27042,plain,
% 9.27/6.85 ((~v157(constB158)) | (~v182(constB158))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27041, 27040])).
% 9.27/6.85 tff(27043,plain,
% 9.27/6.85 ((~(v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158)))))) | (~v181(constB158)) | (~((~v157(constB158)) | (~v182(constB158))))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27044,plain,
% 9.27/6.85 (~v181(constB158)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27043, 27042, 26858])).
% 9.27/6.85 tff(27045,plain,
% 9.27/6.85 ((~(v181(constB158) | v185(constB158))) | v181(constB158) | v185(constB158)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27046,plain,
% 9.27/6.85 (~(v181(constB158) | v185(constB158))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27045, 27044, 26851])).
% 9.27/6.85 tff(27047,plain,
% 9.27/6.85 ((~(v178(constB158) <=> (v181(constB158) | v185(constB158)))) | (~v178(constB158)) | (v181(constB158) | v185(constB158))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27048,plain,
% 9.27/6.85 (~v178(constB158)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27047, 27046, 26826])).
% 9.27/6.85 tff(27049,plain,
% 9.27/6.85 ((~(v180(constB159) <=> v178(constB158))) | (~v180(constB159)) | v178(constB158)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27050,plain,
% 9.27/6.85 (~v180(constB159)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27049, 27048, 26824])).
% 9.27/6.85 tff(27051,plain,
% 9.27/6.85 ($false),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27050, 26820])).
% 9.27/6.85 tff(27052,plain,(~(constB159 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.27/6.85 tff(27053,assumption,(constB117 = VarCurr!0), introduced(assumption)).
% 9.27/6.85 tff(27054,plain,
% 9.27/6.85 (v180(constB117) <=> v180(VarCurr!0)),
% 9.27/6.85 inference(monotonicity,[status(thm)],[27053])).
% 9.27/6.85 tff(27055,plain,
% 9.27/6.85 (v180(VarCurr!0) <=> v180(constB117)),
% 9.27/6.85 inference(symmetry,[status(thm)],[27054])).
% 9.27/6.85 tff(27056,plain,
% 9.27/6.85 (v180(constB117)),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[59, 27055])).
% 9.27/6.85 tff(27057,plain,
% 9.27/6.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB116, constB117)) | (v180(constB117) <=> v178(constB116)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB116, constB117)) | (v180(constB117) <=> v178(constB116)))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(27058,plain,
% 9.27/6.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB116, constB117)) | (v180(constB117) <=> v178(constB116)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27059,plain,
% 9.27/6.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB116, constB117)) | (v180(constB117) <=> v178(constB116))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[27058, 27057])).
% 9.27/6.85 tff(27060,plain,
% 9.27/6.85 (v180(constB117) <=> v178(constB116)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27059, 4267, 70])).
% 9.27/6.85 tff(27061,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB116) <=> (v181(constB116) | v185(constB116)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27062,plain,
% 9.27/6.85 (v178(constB116) <=> (v181(constB116) | v185(constB116))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27061, 84])).
% 9.27/6.85 tff(27063,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB116) <=> (~((~v186(constB116)) | (~v187(constB116)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27064,plain,
% 9.27/6.85 (v185(constB116) <=> (~((~v186(constB116)) | (~v187(constB116))))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27063, 96])).
% 9.27/6.85 tff(27065,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB116) <=> (~((~v184(constB116)) | (~v159(constB116)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27066,plain,
% 9.27/6.85 (v187(constB116) <=> (~((~v184(constB116)) | (~v159(constB116))))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27065, 108])).
% 9.27/6.85 tff(27067,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27068,plain,
% 9.27/6.85 (v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116))))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27067, 120])).
% 9.27/6.85 tff(27069,plain,
% 9.27/6.85 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB116)) <=> v1(constB116))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27070,plain,
% 9.27/6.85 ((~v39(constB116)) <=> v1(constB116)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27069, 129])).
% 9.27/6.85 tff(27071,plain,
% 9.27/6.85 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116)) | (~v1(constB116))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27072,plain,
% 9.27/6.85 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27071, 4329])).
% 9.27/6.85 tff(27073,plain,
% 9.27/6.85 (~v39(constB116)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27072, 27070])).
% 9.27/6.85 tff(27074,plain,
% 9.27/6.85 (((~v39(constB116)) | (~v9(constB116))) | v39(constB116)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27075,plain,
% 9.27/6.85 ((~v39(constB116)) | (~v9(constB116))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27074, 27073])).
% 9.27/6.85 tff(27076,plain,
% 9.27/6.85 ((~(v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v184(constB116)) | (~((~v39(constB116)) | (~v9(constB116))))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27077,plain,
% 9.27/6.85 ((~(v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v184(constB116))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27076, 27075])).
% 9.27/6.85 tff(27078,plain,
% 9.27/6.85 (~v184(constB116)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27077, 27068])).
% 9.27/6.85 tff(27079,plain,
% 9.27/6.85 (((~v184(constB116)) | (~v159(constB116))) | v184(constB116)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27080,plain,
% 9.27/6.85 ((~v184(constB116)) | (~v159(constB116))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27079, 27078])).
% 9.27/6.85 tff(27081,plain,
% 9.27/6.85 ((~(v187(constB116) <=> (~((~v184(constB116)) | (~v159(constB116)))))) | (~v187(constB116)) | (~((~v184(constB116)) | (~v159(constB116))))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27082,plain,
% 9.27/6.85 ((~(v187(constB116) <=> (~((~v184(constB116)) | (~v159(constB116)))))) | (~v187(constB116))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27081, 27080])).
% 9.27/6.85 tff(27083,plain,
% 9.27/6.85 (~v187(constB116)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27082, 27066])).
% 9.27/6.85 tff(27084,plain,
% 9.27/6.85 (((~v186(constB116)) | (~v187(constB116))) | v187(constB116)),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27085,plain,
% 9.27/6.85 ((~v186(constB116)) | (~v187(constB116))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27084, 27083])).
% 9.27/6.85 tff(27086,plain,
% 9.27/6.85 ((~(v185(constB116) <=> (~((~v186(constB116)) | (~v187(constB116)))))) | (~v185(constB116)) | (~((~v186(constB116)) | (~v187(constB116))))),
% 9.27/6.85 inference(tautology,[status(thm)],[])).
% 9.27/6.85 tff(27087,plain,
% 9.27/6.85 (~v185(constB116)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27086, 27085, 27064])).
% 9.27/6.85 tff(27088,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116))))))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(27089,plain,
% 9.27/6.85 ((v181(constB116) <=> (~((~v182(constB116)) | (~v157(constB116))))) <=> (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116)))))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(27090,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v182(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116))))))),
% 9.27/6.85 inference(monotonicity,[status(thm)],[27089])).
% 9.27/6.85 tff(27091,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v182(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116))))))),
% 9.27/6.85 inference(transitivity,[status(thm)],[27090, 27088])).
% 9.27/6.85 tff(27092,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v182(constB116)) | (~v157(constB116)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27093,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116)))))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[27092, 27091])).
% 9.27/6.85 tff(27094,plain,
% 9.27/6.85 (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116))))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27093, 161])).
% 9.27/6.85 tff(27095,plain,
% 9.27/6.85 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB116) <=> v180(constB116))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27096,plain,
% 9.27/6.85 (v157(constB116) <=> v180(constB116)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27095, 13])).
% 9.27/6.85 tff(27097,plain,
% 9.27/6.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB115, constB116)) | (v180(constB116) <=> v178(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB115, constB116)) | (v180(constB116) <=> v178(constB115)))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(27098,plain,
% 9.27/6.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB115, constB116)) | (v180(constB116) <=> v178(constB115)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27099,plain,
% 9.27/6.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB115, constB116)) | (v180(constB116) <=> v178(constB115))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[27098, 27097])).
% 9.27/6.85 tff(27100,plain,
% 9.27/6.85 (v180(constB116) <=> v178(constB115)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27099, 4299, 70])).
% 9.27/6.85 tff(27101,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB115) <=> (v181(constB115) | v185(constB115)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27102,plain,
% 9.27/6.85 (v178(constB115) <=> (v181(constB115) | v185(constB115))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27101, 84])).
% 9.27/6.85 tff(27103,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115))))))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(27104,plain,
% 9.27/6.85 ((v181(constB115) <=> (~((~v182(constB115)) | (~v157(constB115))))) <=> (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115)))))),
% 9.27/6.85 inference(rewrite,[status(thm)],[])).
% 9.27/6.85 tff(27105,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v182(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115))))))),
% 9.27/6.85 inference(monotonicity,[status(thm)],[27104])).
% 9.27/6.85 tff(27106,plain,
% 9.27/6.85 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v182(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115))))))),
% 9.27/6.85 inference(transitivity,[status(thm)],[27105, 27103])).
% 9.27/6.85 tff(27107,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v182(constB115)) | (~v157(constB115)))))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27108,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115)))))),
% 9.27/6.85 inference(modus_ponens,[status(thm)],[27107, 27106])).
% 9.27/6.85 tff(27109,plain,
% 9.27/6.85 (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115))))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27108, 161])).
% 9.27/6.85 tff(27110,plain,
% 9.27/6.85 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB115)) <=> v183(constB115))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27111,plain,
% 9.27/6.85 ((~v182(constB115)) <=> v183(constB115)),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27110, 193])).
% 9.27/6.85 tff(27112,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB115) <=> (v184(constB115) | v26(constB115)))),
% 9.27/6.85 inference(quant_inst,[status(thm)],[])).
% 9.27/6.85 tff(27113,plain,
% 9.27/6.85 (v183(constB115) <=> (v184(constB115) | v26(constB115))),
% 9.27/6.85 inference(unit_resolution,[status(thm)],[27112, 202])).
% 9.27/6.85 tff(27114,plain,
% 9.27/6.85 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27115,plain,
% 9.27/6.86 (v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27114, 120])).
% 9.27/6.86 tff(27116,plain,
% 9.27/6.86 (((~![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)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27117,plain,
% 9.27/6.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27118,plain,
% 9.27/6.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27117, 27116])).
% 9.27/6.86 tff(27119,plain,
% 9.27/6.86 (v13(constB116) <=> v9(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27118, 4299, 216])).
% 9.27/6.86 tff(27120,plain,
% 9.27/6.86 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB116) <=> v13(constB116))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27121,plain,
% 9.27/6.86 (v6(constB116) <=> v13(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27120, 230])).
% 9.27/6.86 tff(27122,plain,
% 9.27/6.86 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB116)) <=> v6(constB116))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27123,plain,
% 9.27/6.86 ((~v21(constB116)) <=> v6(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27122, 239])).
% 9.27/6.86 tff(27124,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB116) <=> (v20(constB116) | v21(constB116)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27125,plain,
% 9.27/6.86 (v19(constB116) <=> (v20(constB116) | v21(constB116))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27124, 248])).
% 9.27/6.86 tff(27126,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27127,plain,
% 9.27/6.86 (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27126, 260])).
% 9.27/6.86 tff(27128,plain,
% 9.27/6.86 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB116)) <=> v18(constB116))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27129,plain,
% 9.27/6.86 ((~v4(constB116)) <=> v18(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27128, 269])).
% 9.27/6.86 tff(27130,plain,
% 9.27/6.86 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB116)),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27131,plain,
% 9.27/6.86 (v4(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27130, 278])).
% 9.27/6.86 tff(27132,plain,
% 9.27/6.86 ((~((~v4(constB116)) <=> v18(constB116))) | (~v4(constB116)) | (~v18(constB116))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27133,plain,
% 9.27/6.86 (~v18(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27132, 27131, 27129])).
% 9.27/6.86 tff(27134,plain,
% 9.27/6.86 ((~(v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))) | v18(constB116) | ((~v19(constB116)) | (~v22(constB116)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27135,plain,
% 9.27/6.86 ((~v19(constB116)) | (~v22(constB116))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27134, 27133, 27127])).
% 9.27/6.86 tff(27136,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB116) <=> (v1(constB116) | v6(constB116)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27137,plain,
% 9.27/6.86 (v22(constB116) <=> (v1(constB116) | v6(constB116))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27136, 291])).
% 9.27/6.86 tff(27138,plain,
% 9.27/6.86 ((v1(constB116) | v6(constB116)) | (~v1(constB116))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27139,plain,
% 9.27/6.86 (v1(constB116) | v6(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27138, 4329])).
% 9.27/6.86 tff(27140,plain,
% 9.27/6.86 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116) | (~(v1(constB116) | v6(constB116)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27141,plain,
% 9.27/6.86 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27140, 27139])).
% 9.27/6.86 tff(27142,plain,
% 9.27/6.86 (v22(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27141, 27137])).
% 9.27/6.86 tff(27143,plain,
% 9.27/6.86 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116)) | (~v22(constB116))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27144,plain,
% 9.27/6.86 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27143, 27142])).
% 9.27/6.86 tff(27145,plain,
% 9.27/6.86 (~v19(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27144, 27135])).
% 9.27/6.86 tff(27146,plain,
% 9.27/6.86 ((~(v19(constB116) <=> (v20(constB116) | v21(constB116)))) | v19(constB116) | (~(v20(constB116) | v21(constB116)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27147,plain,
% 9.27/6.86 (~(v20(constB116) | v21(constB116))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27146, 27145, 27125])).
% 9.27/6.86 tff(27148,plain,
% 9.27/6.86 ((v20(constB116) | v21(constB116)) | (~v21(constB116))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27149,plain,
% 9.27/6.86 (~v21(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27148, 27147])).
% 9.27/6.86 tff(27150,plain,
% 9.27/6.86 ((~((~v21(constB116)) <=> v6(constB116))) | v21(constB116) | v6(constB116)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27151,plain,
% 9.27/6.86 (v6(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27150, 27149, 27123])).
% 9.27/6.86 tff(27152,plain,
% 9.27/6.86 ((~(v6(constB116) <=> v13(constB116))) | (~v6(constB116)) | v13(constB116)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27153,plain,
% 9.27/6.86 (v13(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27152, 27151, 27121])).
% 9.27/6.86 tff(27154,plain,
% 9.27/6.86 ((~(v13(constB116) <=> v9(constB115))) | (~v13(constB116)) | v9(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27155,plain,
% 9.27/6.86 (v9(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27154, 27153, 27119])).
% 9.27/6.86 tff(27156,plain,
% 9.27/6.86 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB115)) <=> v1(constB115))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27157,plain,
% 9.27/6.86 ((~v39(constB115)) <=> v1(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27156, 129])).
% 9.27/6.86 tff(27158,plain,
% 9.27/6.86 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115) | v1(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27159,plain,
% 9.27/6.86 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27158, 4321])).
% 9.27/6.86 tff(27160,plain,
% 9.27/6.86 (v39(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27159, 27157])).
% 9.27/6.86 tff(27161,plain,
% 9.27/6.86 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v39(constB115)) | (~v9(constB115))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27162,plain,
% 9.27/6.86 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v9(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27161, 27160])).
% 9.27/6.86 tff(27163,plain,
% 9.27/6.86 (~((~v39(constB115)) | (~v9(constB115)))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27162, 27155])).
% 9.27/6.86 tff(27164,plain,
% 9.27/6.86 ((~(v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))) | v184(constB115) | ((~v39(constB115)) | (~v9(constB115)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27165,plain,
% 9.27/6.86 (v184(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27164, 27163, 27115])).
% 9.27/6.86 tff(27166,plain,
% 9.27/6.86 ((v184(constB115) | v26(constB115)) | (~v184(constB115))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27167,plain,
% 9.27/6.86 (v184(constB115) | v26(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27166, 27165])).
% 9.27/6.86 tff(27168,plain,
% 9.27/6.86 ((~(v183(constB115) <=> (v184(constB115) | v26(constB115)))) | v183(constB115) | (~(v184(constB115) | v26(constB115)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27169,plain,
% 9.27/6.86 (v183(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27168, 27167, 27113])).
% 9.27/6.86 tff(27170,plain,
% 9.27/6.86 ((~((~v182(constB115)) <=> v183(constB115))) | (~v182(constB115)) | (~v183(constB115))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27171,plain,
% 9.27/6.86 (~v182(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27170, 27169, 27111])).
% 9.27/6.86 tff(27172,plain,
% 9.27/6.86 (((~v157(constB115)) | (~v182(constB115))) | v182(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27173,plain,
% 9.27/6.86 ((~v157(constB115)) | (~v182(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27172, 27171])).
% 9.27/6.86 tff(27174,plain,
% 9.27/6.86 ((~(v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115)))))) | (~v181(constB115)) | (~((~v157(constB115)) | (~v182(constB115))))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27175,plain,
% 9.27/6.86 (~v181(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27174, 27173, 27109])).
% 9.27/6.86 tff(27176,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB115) <=> (~((~v186(constB115)) | (~v187(constB115)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27177,plain,
% 9.27/6.86 (v185(constB115) <=> (~((~v186(constB115)) | (~v187(constB115))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27176, 96])).
% 9.27/6.86 tff(27178,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB115) <=> (~((~v184(constB115)) | (~v159(constB115)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27179,plain,
% 9.27/6.86 (v187(constB115) <=> (~((~v184(constB115)) | (~v159(constB115))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27178, 108])).
% 9.27/6.86 tff(27180,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB115) <=> v161(constB115))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27181,plain,
% 9.27/6.86 (v159(constB115) <=> v161(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27180, 345])).
% 9.27/6.86 tff(27182,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB115) <=> (~(v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27183,plain,
% 9.27/6.86 (v139(constB115) <=> (~(v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2)))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27182, 360])).
% 9.27/6.86 tff(27184,plain,
% 9.27/6.86 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27185,plain,
% 9.27/6.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27186,plain,
% 9.27/6.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27185, 27184])).
% 9.27/6.86 tff(27187,plain,
% 9.27/6.86 (v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27186, 375, 372])).
% 9.27/6.86 tff(27188,plain,
% 9.27/6.86 ((~(v88(constB115, bitIndex1) <=> v90(constB115, bitIndex1))) | v88(constB115, bitIndex1) | (~v90(constB115, bitIndex1))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27189,plain,
% 9.27/6.86 (v88(constB115, bitIndex1)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27188, 19164, 27187])).
% 9.27/6.86 tff(27190,plain,
% 9.27/6.86 ((v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27191,plain,
% 9.27/6.86 (v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27190, 27189])).
% 9.27/6.86 tff(27192,plain,
% 9.27/6.86 ((~(v139(constB115) <=> (~(v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2))))) | (~v139(constB115)) | (~(v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27193,plain,
% 9.27/6.86 (~v139(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27192, 27191, 27183])).
% 9.27/6.86 tff(27194,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0))))))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27195,plain,
% 9.27/6.86 ((v140(constB115) <=> (~(v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))))) <=> (v140(constB115) <=> (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0)))))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27196,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0))))))),
% 9.27/6.86 inference(monotonicity,[status(thm)],[27195])).
% 9.27/6.86 tff(27197,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0))))))),
% 9.27/6.86 inference(transitivity,[status(thm)],[27196, 27194])).
% 9.27/6.86 tff(27198,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27199,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0)))))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27198, 27197])).
% 9.27/6.86 tff(27200,plain,
% 9.27/6.86 (v140(constB115) <=> (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27199, 25795])).
% 9.27/6.86 tff(27201,plain,
% 9.27/6.86 ((v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0))) | (~v88(constB115, bitIndex1))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27202,plain,
% 9.27/6.86 (v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27201, 27189])).
% 9.27/6.86 tff(27203,plain,
% 9.27/6.86 ((~(v140(constB115) <=> (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0)))))) | (~v140(constB115)) | (~(v88(constB115, bitIndex2) | v88(constB115, bitIndex1) | (~v88(constB115, bitIndex0))))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27204,plain,
% 9.27/6.86 (~v140(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27203, 27202, 27200])).
% 9.27/6.86 tff(27205,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB115) | v140(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB115) | v140(constB115) | (~v168(constB115)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27206,plain,
% 9.27/6.86 ((v140(constB115) | v139(constB115) | (~v168(constB115))) <=> (v139(constB115) | v140(constB115) | (~v168(constB115)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27207,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB115) | v140(constB115) | (~v168(constB115))))),
% 9.27/6.86 inference(monotonicity,[status(thm)],[27206])).
% 9.27/6.86 tff(27208,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB115) | v140(constB115) | (~v168(constB115)))),
% 9.27/6.86 inference(transitivity,[status(thm)],[27207, 27205])).
% 9.27/6.86 tff(27209,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27210,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB115) | v140(constB115) | (~v168(constB115))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27209, 27208])).
% 9.27/6.86 tff(27211,plain,
% 9.27/6.86 (v139(constB115) | v140(constB115) | (~v168(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27210, 25819])).
% 9.27/6.86 tff(27212,plain,
% 9.27/6.86 (~v168(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27211, 27204, 27193])).
% 9.27/6.86 tff(27213,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB115) <=> (v145(constB115) | v165(constB115)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27214,plain,
% 9.27/6.86 (v164(constB115) <=> (v145(constB115) | v165(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27213, 25834])).
% 9.27/6.86 tff(27215,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB115) <=> (v142(constB115) | v166(constB115)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27216,plain,
% 9.27/6.86 (v165(constB115) <=> (v142(constB115) | v166(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27215, 25846])).
% 9.27/6.86 tff(27217,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB115) <=> (v141(constB115) | v167(constB115)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27218,plain,
% 9.27/6.86 (v166(constB115) <=> (v141(constB115) | v167(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27217, 26362])).
% 9.27/6.86 tff(27219,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27220,plain,
% 9.27/6.86 (v141(constB115) <=> (~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27219, 26377])).
% 9.27/6.86 tff(27221,plain,
% 9.27/6.86 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27222,plain,
% 9.27/6.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27223,plain,
% 9.27/6.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27222, 27221])).
% 9.27/6.86 tff(27224,plain,
% 9.27/6.86 (v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27223, 648, 372])).
% 9.27/6.86 tff(27225,plain,
% 9.27/6.86 ((~(v88(constB115, bitIndex2) <=> v90(constB115, bitIndex2))) | (~v88(constB115, bitIndex2)) | v90(constB115, bitIndex2)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27226,plain,
% 9.27/6.86 (~v88(constB115, bitIndex2)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27225, 19102, 27224])).
% 9.27/6.86 tff(27227,plain,
% 9.27/6.86 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27228,plain,
% 9.27/6.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27229,plain,
% 9.27/6.86 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27228, 27227])).
% 9.27/6.86 tff(27230,plain,
% 9.27/6.86 (v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27229, 9653, 372])).
% 9.27/6.86 tff(27231,plain,
% 9.27/6.86 ((~(v88(constB115, bitIndex0) <=> v90(constB115, bitIndex0))) | v88(constB115, bitIndex0) | (~v90(constB115, bitIndex0))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27232,plain,
% 9.27/6.86 (v88(constB115, bitIndex0)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27231, 19133, 27230])).
% 9.27/6.86 tff(27233,plain,
% 9.27/6.86 ((~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)))) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27234,plain,
% 9.27/6.86 (~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27233, 27189, 27232, 27226])).
% 9.27/6.86 tff(27235,plain,
% 9.27/6.86 ((~(v141(constB115) <=> (~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)))))) | v141(constB115) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27236,plain,
% 9.27/6.86 (v141(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27235, 27234, 27220])).
% 9.27/6.86 tff(27237,plain,
% 9.27/6.86 ((v141(constB115) | v167(constB115)) | (~v141(constB115))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27238,plain,
% 9.27/6.86 (v141(constB115) | v167(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27237, 27236])).
% 9.27/6.86 tff(27239,plain,
% 9.27/6.86 ((~(v166(constB115) <=> (v141(constB115) | v167(constB115)))) | v166(constB115) | (~(v141(constB115) | v167(constB115)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27240,plain,
% 9.27/6.86 (v166(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27239, 27238, 27218])).
% 9.27/6.86 tff(27241,plain,
% 9.27/6.86 ((v142(constB115) | v166(constB115)) | (~v166(constB115))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27242,plain,
% 9.27/6.86 (v142(constB115) | v166(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27241, 27240])).
% 9.27/6.86 tff(27243,plain,
% 9.27/6.86 ((~(v165(constB115) <=> (v142(constB115) | v166(constB115)))) | v165(constB115) | (~(v142(constB115) | v166(constB115)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27244,plain,
% 9.27/6.86 (v165(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27243, 27242, 27216])).
% 9.27/6.86 tff(27245,plain,
% 9.27/6.86 ((v145(constB115) | v165(constB115)) | (~v165(constB115))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27246,plain,
% 9.27/6.86 (v145(constB115) | v165(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27245, 27244])).
% 9.27/6.86 tff(27247,plain,
% 9.27/6.86 ((~(v164(constB115) <=> (v145(constB115) | v165(constB115)))) | v164(constB115) | (~(v145(constB115) | v165(constB115)))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27248,plain,
% 9.27/6.86 (v164(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27247, 27246, 27214])).
% 9.27/6.86 tff(27249,plain,
% 9.27/6.86 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB115)) | (v161(constB115) <=> v168(constB115)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB115)) | (v161(constB115) <=> v168(constB115)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27250,plain,
% 9.27/6.86 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB115)) | (v161(constB115) <=> v168(constB115)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27251,plain,
% 9.27/6.86 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB115)) | (v161(constB115) <=> v168(constB115))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27250, 27249])).
% 9.27/6.86 tff(27252,plain,
% 9.27/6.86 ((~v164(constB115)) | (v161(constB115) <=> v168(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27251, 25977])).
% 9.27/6.86 tff(27253,plain,
% 9.27/6.86 (v161(constB115) <=> v168(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27252, 27248])).
% 9.27/6.86 tff(27254,plain,
% 9.27/6.86 ((~(v161(constB115) <=> v168(constB115))) | (~v161(constB115)) | v168(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27255,plain,
% 9.27/6.86 (~v161(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27254, 27253, 27212])).
% 9.27/6.86 tff(27256,plain,
% 9.27/6.86 ((~(v159(constB115) <=> v161(constB115))) | (~v159(constB115)) | v161(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27257,plain,
% 9.27/6.86 ((~(v159(constB115) <=> v161(constB115))) | (~v159(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27256, 27255])).
% 9.27/6.86 tff(27258,plain,
% 9.27/6.86 (~v159(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27257, 27181])).
% 9.27/6.86 tff(27259,plain,
% 9.27/6.86 (((~v184(constB115)) | (~v159(constB115))) | v159(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27260,plain,
% 9.27/6.86 ((~v184(constB115)) | (~v159(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27259, 27258])).
% 9.27/6.86 tff(27261,plain,
% 9.27/6.86 ((~(v187(constB115) <=> (~((~v184(constB115)) | (~v159(constB115)))))) | (~v187(constB115)) | (~((~v184(constB115)) | (~v159(constB115))))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27262,plain,
% 9.27/6.86 (~v187(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27261, 27260, 27179])).
% 9.27/6.86 tff(27263,plain,
% 9.27/6.86 (((~v186(constB115)) | (~v187(constB115))) | v187(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27264,plain,
% 9.27/6.86 ((~v186(constB115)) | (~v187(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27263, 27262])).
% 9.27/6.86 tff(27265,plain,
% 9.27/6.86 ((~(v185(constB115) <=> (~((~v186(constB115)) | (~v187(constB115)))))) | (~v185(constB115)) | (~((~v186(constB115)) | (~v187(constB115))))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27266,plain,
% 9.27/6.86 (~v185(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27265, 27264, 27177])).
% 9.27/6.86 tff(27267,plain,
% 9.27/6.86 ((~(v181(constB115) | v185(constB115))) | v181(constB115) | v185(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27268,plain,
% 9.27/6.86 (~(v181(constB115) | v185(constB115))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27267, 27266, 27175])).
% 9.27/6.86 tff(27269,plain,
% 9.27/6.86 ((~(v178(constB115) <=> (v181(constB115) | v185(constB115)))) | (~v178(constB115)) | (v181(constB115) | v185(constB115))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27270,plain,
% 9.27/6.86 (~v178(constB115)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27269, 27268, 27102])).
% 9.27/6.86 tff(27271,plain,
% 9.27/6.86 ((~(v180(constB116) <=> v178(constB115))) | (~v180(constB116)) | v178(constB115)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27272,plain,
% 9.27/6.86 (~v180(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27271, 27270, 27100])).
% 9.27/6.86 tff(27273,plain,
% 9.27/6.86 ((~(v157(constB116) <=> v180(constB116))) | (~v157(constB116)) | v180(constB116)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27274,plain,
% 9.27/6.86 (~v157(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27273, 27272, 27096])).
% 9.27/6.86 tff(27275,plain,
% 9.27/6.86 (((~v157(constB116)) | (~v182(constB116))) | v157(constB116)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27276,plain,
% 9.27/6.86 ((~v157(constB116)) | (~v182(constB116))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27275, 27274])).
% 9.27/6.86 tff(27277,plain,
% 9.27/6.86 ((~(v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116)))))) | (~v181(constB116)) | (~((~v157(constB116)) | (~v182(constB116))))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27278,plain,
% 9.27/6.86 (~v181(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27277, 27276, 27094])).
% 9.27/6.86 tff(27279,plain,
% 9.27/6.86 ((~(v181(constB116) | v185(constB116))) | v181(constB116) | v185(constB116)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27280,plain,
% 9.27/6.86 (~(v181(constB116) | v185(constB116))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27279, 27278, 27087])).
% 9.27/6.86 tff(27281,plain,
% 9.27/6.86 ((~(v178(constB116) <=> (v181(constB116) | v185(constB116)))) | (~v178(constB116)) | (v181(constB116) | v185(constB116))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27282,plain,
% 9.27/6.86 (~v178(constB116)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27281, 27280, 27062])).
% 9.27/6.86 tff(27283,plain,
% 9.27/6.86 ((~(v180(constB117) <=> v178(constB116))) | (~v180(constB117)) | v178(constB116)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27284,plain,
% 9.27/6.86 (~v180(constB117)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27283, 27282, 27060])).
% 9.27/6.86 tff(27285,plain,
% 9.27/6.86 ($false),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27284, 27056])).
% 9.27/6.86 tff(27286,plain,(~(constB117 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.27/6.86 tff(27287,assumption,(constB91 = VarCurr!0), introduced(assumption)).
% 9.27/6.86 tff(27288,plain,
% 9.27/6.86 (v180(constB91) <=> v180(VarCurr!0)),
% 9.27/6.86 inference(monotonicity,[status(thm)],[27287])).
% 9.27/6.86 tff(27289,plain,
% 9.27/6.86 (v180(VarCurr!0) <=> v180(constB91)),
% 9.27/6.86 inference(symmetry,[status(thm)],[27288])).
% 9.27/6.86 tff(27290,plain,
% 9.27/6.86 (v180(constB91)),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[59, 27289])).
% 9.27/6.86 tff(27291,plain,
% 9.27/6.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> v178(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB90, constB91)) | (v180(constB91) <=> v178(constB90)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27292,plain,
% 9.27/6.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> v178(constB90)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27293,plain,
% 9.27/6.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB90, constB91)) | (v180(constB91) <=> v178(constB90))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27292, 27291])).
% 9.27/6.86 tff(27294,plain,
% 9.27/6.86 (v180(constB91) <=> v178(constB90)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27293, 5464, 70])).
% 9.27/6.86 tff(27295,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB90) <=> (v181(constB90) | v185(constB90)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27296,plain,
% 9.27/6.86 (v178(constB90) <=> (v181(constB90) | v185(constB90))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27295, 84])).
% 9.27/6.86 tff(27297,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB90) <=> (~((~v186(constB90)) | (~v187(constB90)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27298,plain,
% 9.27/6.86 (v185(constB90) <=> (~((~v186(constB90)) | (~v187(constB90))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27297, 96])).
% 9.27/6.86 tff(27299,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB90) <=> (~((~v184(constB90)) | (~v159(constB90)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27300,plain,
% 9.27/6.86 (v187(constB90) <=> (~((~v184(constB90)) | (~v159(constB90))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27299, 108])).
% 9.27/6.86 tff(27301,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27302,plain,
% 9.27/6.86 (v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27301, 120])).
% 9.27/6.86 tff(27303,plain,
% 9.27/6.86 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB90)) <=> v1(constB90))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27304,plain,
% 9.27/6.86 ((~v39(constB90)) <=> v1(constB90)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27303, 129])).
% 9.27/6.86 tff(27305,plain,
% 9.27/6.86 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90)) | (~v1(constB90))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27306,plain,
% 9.27/6.86 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27305, 5526])).
% 9.27/6.86 tff(27307,plain,
% 9.27/6.86 (~v39(constB90)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27306, 27304])).
% 9.27/6.86 tff(27308,plain,
% 9.27/6.86 (((~v39(constB90)) | (~v9(constB90))) | v39(constB90)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27309,plain,
% 9.27/6.86 ((~v39(constB90)) | (~v9(constB90))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27308, 27307])).
% 9.27/6.86 tff(27310,plain,
% 9.27/6.86 ((~(v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v184(constB90)) | (~((~v39(constB90)) | (~v9(constB90))))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27311,plain,
% 9.27/6.86 ((~(v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v184(constB90))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27310, 27309])).
% 9.27/6.86 tff(27312,plain,
% 9.27/6.86 (~v184(constB90)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27311, 27302])).
% 9.27/6.86 tff(27313,plain,
% 9.27/6.86 (((~v184(constB90)) | (~v159(constB90))) | v184(constB90)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27314,plain,
% 9.27/6.86 ((~v184(constB90)) | (~v159(constB90))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27313, 27312])).
% 9.27/6.86 tff(27315,plain,
% 9.27/6.86 ((~(v187(constB90) <=> (~((~v184(constB90)) | (~v159(constB90)))))) | (~v187(constB90)) | (~((~v184(constB90)) | (~v159(constB90))))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27316,plain,
% 9.27/6.86 ((~(v187(constB90) <=> (~((~v184(constB90)) | (~v159(constB90)))))) | (~v187(constB90))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27315, 27314])).
% 9.27/6.86 tff(27317,plain,
% 9.27/6.86 (~v187(constB90)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27316, 27300])).
% 9.27/6.86 tff(27318,plain,
% 9.27/6.86 (((~v186(constB90)) | (~v187(constB90))) | v187(constB90)),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27319,plain,
% 9.27/6.86 ((~v186(constB90)) | (~v187(constB90))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27318, 27317])).
% 9.27/6.86 tff(27320,plain,
% 9.27/6.86 ((~(v185(constB90) <=> (~((~v186(constB90)) | (~v187(constB90)))))) | (~v185(constB90)) | (~((~v186(constB90)) | (~v187(constB90))))),
% 9.27/6.86 inference(tautology,[status(thm)],[])).
% 9.27/6.86 tff(27321,plain,
% 9.27/6.86 (~v185(constB90)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27320, 27319, 27298])).
% 9.27/6.86 tff(27322,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90))))))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27323,plain,
% 9.27/6.86 ((v181(constB90) <=> (~((~v182(constB90)) | (~v157(constB90))))) <=> (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90)))))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27324,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v182(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90))))))),
% 9.27/6.86 inference(monotonicity,[status(thm)],[27323])).
% 9.27/6.86 tff(27325,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v182(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90))))))),
% 9.27/6.86 inference(transitivity,[status(thm)],[27324, 27322])).
% 9.27/6.86 tff(27326,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v182(constB90)) | (~v157(constB90)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27327,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90)))))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27326, 27325])).
% 9.27/6.86 tff(27328,plain,
% 9.27/6.86 (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90))))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27327, 161])).
% 9.27/6.86 tff(27329,plain,
% 9.27/6.86 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB90) <=> v180(constB90))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27330,plain,
% 9.27/6.86 (v157(constB90) <=> v180(constB90)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27329, 13])).
% 9.27/6.86 tff(27331,plain,
% 9.27/6.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> v178(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB89, constB90)) | (v180(constB90) <=> v178(constB89)))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27332,plain,
% 9.27/6.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> v178(constB89)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27333,plain,
% 9.27/6.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB89, constB90)) | (v180(constB90) <=> v178(constB89))),
% 9.27/6.86 inference(modus_ponens,[status(thm)],[27332, 27331])).
% 9.27/6.86 tff(27334,plain,
% 9.27/6.86 (v180(constB90) <=> v178(constB89)),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27333, 5496, 70])).
% 9.27/6.86 tff(27335,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB89) <=> (v181(constB89) | v185(constB89)))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.86 tff(27336,plain,
% 9.27/6.86 (v178(constB89) <=> (v181(constB89) | v185(constB89))),
% 9.27/6.86 inference(unit_resolution,[status(thm)],[27335, 84])).
% 9.27/6.86 tff(27337,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89))))))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27338,plain,
% 9.27/6.86 ((v181(constB89) <=> (~((~v182(constB89)) | (~v157(constB89))))) <=> (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89)))))),
% 9.27/6.86 inference(rewrite,[status(thm)],[])).
% 9.27/6.86 tff(27339,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v182(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89))))))),
% 9.27/6.86 inference(monotonicity,[status(thm)],[27338])).
% 9.27/6.86 tff(27340,plain,
% 9.27/6.86 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v182(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89))))))),
% 9.27/6.86 inference(transitivity,[status(thm)],[27339, 27337])).
% 9.27/6.86 tff(27341,plain,
% 9.27/6.86 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v182(constB89)) | (~v157(constB89)))))),
% 9.27/6.86 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27342,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89)))))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27341, 27340])).
% 9.27/6.87 tff(27343,plain,
% 9.27/6.87 (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27342, 161])).
% 9.27/6.87 tff(27344,plain,
% 9.27/6.87 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB89)) <=> v183(constB89))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27345,plain,
% 9.27/6.87 ((~v182(constB89)) <=> v183(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27344, 193])).
% 9.27/6.87 tff(27346,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB89) <=> (v184(constB89) | v26(constB89)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27347,plain,
% 9.27/6.87 (v183(constB89) <=> (v184(constB89) | v26(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27346, 202])).
% 9.27/6.87 tff(27348,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27349,plain,
% 9.27/6.87 (v184(constB89) <=> (~((~v39(constB89)) | (~v9(constB89))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27348, 120])).
% 9.27/6.87 tff(27350,plain,
% 9.27/6.87 (((~![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)))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27351,plain,
% 9.27/6.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27352,plain,
% 9.27/6.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27351, 27350])).
% 9.27/6.87 tff(27353,plain,
% 9.27/6.87 (v13(constB90) <=> v9(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27352, 5496, 216])).
% 9.27/6.87 tff(27354,plain,
% 9.27/6.87 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB90) <=> v13(constB90))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27355,plain,
% 9.27/6.87 (v6(constB90) <=> v13(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27354, 230])).
% 9.27/6.87 tff(27356,plain,
% 9.27/6.87 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB90)) <=> v6(constB90))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27357,plain,
% 9.27/6.87 ((~v21(constB90)) <=> v6(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27356, 239])).
% 9.27/6.87 tff(27358,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB90) <=> (v20(constB90) | v21(constB90)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27359,plain,
% 9.27/6.87 (v19(constB90) <=> (v20(constB90) | v21(constB90))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27358, 248])).
% 9.27/6.87 tff(27360,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27361,plain,
% 9.27/6.87 (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27360, 260])).
% 9.27/6.87 tff(27362,plain,
% 9.27/6.87 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB90)) <=> v18(constB90))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27363,plain,
% 9.27/6.87 ((~v4(constB90)) <=> v18(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27362, 269])).
% 9.27/6.87 tff(27364,plain,
% 9.27/6.87 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB90)),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27365,plain,
% 9.27/6.87 (v4(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27364, 278])).
% 9.27/6.87 tff(27366,plain,
% 9.27/6.87 ((~((~v4(constB90)) <=> v18(constB90))) | (~v4(constB90)) | (~v18(constB90))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27367,plain,
% 9.27/6.87 (~v18(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27366, 27365, 27363])).
% 9.27/6.87 tff(27368,plain,
% 9.27/6.87 ((~(v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))) | v18(constB90) | ((~v19(constB90)) | (~v22(constB90)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27369,plain,
% 9.27/6.87 ((~v19(constB90)) | (~v22(constB90))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27368, 27367, 27361])).
% 9.27/6.87 tff(27370,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB90) <=> (v1(constB90) | v6(constB90)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27371,plain,
% 9.27/6.87 (v22(constB90) <=> (v1(constB90) | v6(constB90))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27370, 291])).
% 9.27/6.87 tff(27372,plain,
% 9.27/6.87 ((v1(constB90) | v6(constB90)) | (~v1(constB90))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27373,plain,
% 9.27/6.87 (v1(constB90) | v6(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27372, 5526])).
% 9.27/6.87 tff(27374,plain,
% 9.27/6.87 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90) | (~(v1(constB90) | v6(constB90)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27375,plain,
% 9.27/6.87 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27374, 27373])).
% 9.27/6.87 tff(27376,plain,
% 9.27/6.87 (v22(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27375, 27371])).
% 9.27/6.87 tff(27377,plain,
% 9.27/6.87 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90)) | (~v22(constB90))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27378,plain,
% 9.27/6.87 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27377, 27376])).
% 9.27/6.87 tff(27379,plain,
% 9.27/6.87 (~v19(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27378, 27369])).
% 9.27/6.87 tff(27380,plain,
% 9.27/6.87 ((~(v19(constB90) <=> (v20(constB90) | v21(constB90)))) | v19(constB90) | (~(v20(constB90) | v21(constB90)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27381,plain,
% 9.27/6.87 (~(v20(constB90) | v21(constB90))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27380, 27379, 27359])).
% 9.27/6.87 tff(27382,plain,
% 9.27/6.87 ((v20(constB90) | v21(constB90)) | (~v21(constB90))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27383,plain,
% 9.27/6.87 (~v21(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27382, 27381])).
% 9.27/6.87 tff(27384,plain,
% 9.27/6.87 ((~((~v21(constB90)) <=> v6(constB90))) | v21(constB90) | v6(constB90)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27385,plain,
% 9.27/6.87 (v6(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27384, 27383, 27357])).
% 9.27/6.87 tff(27386,plain,
% 9.27/6.87 ((~(v6(constB90) <=> v13(constB90))) | (~v6(constB90)) | v13(constB90)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27387,plain,
% 9.27/6.87 (v13(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27386, 27385, 27355])).
% 9.27/6.87 tff(27388,plain,
% 9.27/6.87 ((~(v13(constB90) <=> v9(constB89))) | (~v13(constB90)) | v9(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27389,plain,
% 9.27/6.87 (v9(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27388, 27387, 27353])).
% 9.27/6.87 tff(27390,plain,
% 9.27/6.87 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB89)) <=> v1(constB89))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27391,plain,
% 9.27/6.87 ((~v39(constB89)) <=> v1(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27390, 129])).
% 9.27/6.87 tff(27392,plain,
% 9.27/6.87 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89) | v1(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27393,plain,
% 9.27/6.87 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27392, 5518])).
% 9.27/6.87 tff(27394,plain,
% 9.27/6.87 (v39(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27393, 27391])).
% 9.27/6.87 tff(27395,plain,
% 9.27/6.87 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v39(constB89)) | (~v9(constB89))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27396,plain,
% 9.27/6.87 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v9(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27395, 27394])).
% 9.27/6.87 tff(27397,plain,
% 9.27/6.87 (~((~v39(constB89)) | (~v9(constB89)))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27396, 27389])).
% 9.27/6.87 tff(27398,plain,
% 9.27/6.87 ((~(v184(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))) | v184(constB89) | ((~v39(constB89)) | (~v9(constB89)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27399,plain,
% 9.27/6.87 (v184(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27398, 27397, 27349])).
% 9.27/6.87 tff(27400,plain,
% 9.27/6.87 ((v184(constB89) | v26(constB89)) | (~v184(constB89))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27401,plain,
% 9.27/6.87 (v184(constB89) | v26(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27400, 27399])).
% 9.27/6.87 tff(27402,plain,
% 9.27/6.87 ((~(v183(constB89) <=> (v184(constB89) | v26(constB89)))) | v183(constB89) | (~(v184(constB89) | v26(constB89)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27403,plain,
% 9.27/6.87 (v183(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27402, 27401, 27347])).
% 9.27/6.87 tff(27404,plain,
% 9.27/6.87 ((~((~v182(constB89)) <=> v183(constB89))) | (~v182(constB89)) | (~v183(constB89))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27405,plain,
% 9.27/6.87 (~v182(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27404, 27403, 27345])).
% 9.27/6.87 tff(27406,plain,
% 9.27/6.87 (((~v157(constB89)) | (~v182(constB89))) | v182(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27407,plain,
% 9.27/6.87 ((~v157(constB89)) | (~v182(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27406, 27405])).
% 9.27/6.87 tff(27408,plain,
% 9.27/6.87 ((~(v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89)))))) | (~v181(constB89)) | (~((~v157(constB89)) | (~v182(constB89))))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27409,plain,
% 9.27/6.87 (~v181(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27408, 27407, 27343])).
% 9.27/6.87 tff(27410,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB89) <=> (~((~v186(constB89)) | (~v187(constB89)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27411,plain,
% 9.27/6.87 (v185(constB89) <=> (~((~v186(constB89)) | (~v187(constB89))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27410, 96])).
% 9.27/6.87 tff(27412,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB89) <=> (~((~v184(constB89)) | (~v159(constB89)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27413,plain,
% 9.27/6.87 (v187(constB89) <=> (~((~v184(constB89)) | (~v159(constB89))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27412, 108])).
% 9.27/6.87 tff(27414,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB89) <=> v161(constB89))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27415,plain,
% 9.27/6.87 (v159(constB89) <=> v161(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27414, 345])).
% 9.27/6.87 tff(27416,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27417,plain,
% 9.27/6.87 (v139(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2)))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27416, 360])).
% 9.27/6.87 tff(27418,plain,
% 9.27/6.87 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1)))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27419,plain,
% 9.27/6.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27420,plain,
% 9.27/6.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 9.27/6.87 tff(27421,plain,
% 9.27/6.87 (v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27420, 375, 372])).
% 9.27/6.87 tff(27422,plain,
% 9.27/6.87 ((~(v88(constB89, bitIndex1) <=> v90(constB89, bitIndex1))) | v88(constB89, bitIndex1) | (~v90(constB89, bitIndex1))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27423,plain,
% 9.27/6.87 (v88(constB89, bitIndex1)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27422, 17054, 27421])).
% 9.27/6.87 tff(27424,plain,
% 9.27/6.87 ((v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2)) | (~v88(constB89, bitIndex1))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27425,plain,
% 9.27/6.87 (v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27424, 27423])).
% 9.27/6.87 tff(27426,plain,
% 9.27/6.87 ((~(v139(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2))))) | (~v139(constB89)) | (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27427,plain,
% 9.27/6.87 (~v139(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27426, 27425, 27417])).
% 9.27/6.87 tff(27428,plain,
% 9.27/6.87 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0))))))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27429,plain,
% 9.27/6.87 ((v140(constB89) <=> (~(v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0))))) <=> (v140(constB89) <=> (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0)))))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27430,plain,
% 9.27/6.87 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0))))))),
% 9.27/6.87 inference(monotonicity,[status(thm)],[27429])).
% 9.27/6.87 tff(27431,plain,
% 9.27/6.87 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0))))))),
% 9.27/6.87 inference(transitivity,[status(thm)],[27430, 27428])).
% 9.27/6.87 tff(27432,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27433,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0)))))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27432, 27431])).
% 9.27/6.87 tff(27434,plain,
% 9.27/6.87 (v140(constB89) <=> (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27433, 25795])).
% 9.27/6.87 tff(27435,plain,
% 9.27/6.87 ((v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0))) | (~v88(constB89, bitIndex1))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27436,plain,
% 9.27/6.87 (v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27435, 27423])).
% 9.27/6.87 tff(27437,plain,
% 9.27/6.87 ((~(v140(constB89) <=> (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0)))))) | (~v140(constB89)) | (~(v88(constB89, bitIndex2) | v88(constB89, bitIndex1) | (~v88(constB89, bitIndex0))))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27438,plain,
% 9.27/6.87 (~v140(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27437, 27436, 27434])).
% 9.27/6.87 tff(27439,plain,
% 9.27/6.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB89) | v139(constB89) | (~v168(constB89)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB89) | v139(constB89) | (~v168(constB89)))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27440,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB89) | v139(constB89) | (~v168(constB89)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27441,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB89) | v139(constB89) | (~v168(constB89))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27440, 27439])).
% 9.27/6.87 tff(27442,plain,
% 9.27/6.87 (v140(constB89) | v139(constB89) | (~v168(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27441, 25819])).
% 9.27/6.87 tff(27443,plain,
% 9.27/6.87 (~v168(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27442, 27438, 27427])).
% 9.27/6.87 tff(27444,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB89) <=> (v145(constB89) | v165(constB89)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27445,plain,
% 9.27/6.87 (v164(constB89) <=> (v145(constB89) | v165(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27444, 25834])).
% 9.27/6.87 tff(27446,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB89) <=> (v142(constB89) | v166(constB89)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27447,plain,
% 9.27/6.87 (v165(constB89) <=> (v142(constB89) | v166(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27446, 25846])).
% 9.27/6.87 tff(27448,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB89) <=> (v143(constB89) | v144(constB89)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27449,plain,
% 9.27/6.87 (v142(constB89) <=> (v143(constB89) | v144(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27448, 25855])).
% 9.27/6.87 tff(27450,plain,
% 9.27/6.87 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)))))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27451,plain,
% 9.27/6.87 ((v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1))))) <=> (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27452,plain,
% 9.27/6.87 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)))))),
% 9.27/6.87 inference(monotonicity,[status(thm)],[27451])).
% 9.27/6.87 tff(27453,plain,
% 9.27/6.87 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)))))),
% 9.27/6.87 inference(transitivity,[status(thm)],[27452, 27450])).
% 9.27/6.87 tff(27454,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27455,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27454, 27453])).
% 9.27/6.87 tff(27456,plain,
% 9.27/6.87 (v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27455, 25870])).
% 9.27/6.87 tff(27457,plain,
% 9.27/6.87 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2)))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27458,plain,
% 9.27/6.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27459,plain,
% 9.27/6.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27458, 27457])).
% 9.27/6.87 tff(27460,plain,
% 9.27/6.87 (v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27459, 648, 372])).
% 9.27/6.87 tff(27461,plain,
% 9.27/6.87 ((~(v88(constB89, bitIndex2) <=> v90(constB89, bitIndex2))) | (~v88(constB89, bitIndex2)) | v90(constB89, bitIndex2)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27462,plain,
% 9.27/6.87 (~v88(constB89, bitIndex2)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27461, 16992, 27460])).
% 9.27/6.87 tff(27463,plain,
% 9.27/6.87 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0)))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27464,plain,
% 9.27/6.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27465,plain,
% 9.27/6.87 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27464, 27463])).
% 9.27/6.87 tff(27466,plain,
% 9.27/6.87 (v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27465, 9653, 372])).
% 9.27/6.87 tff(27467,plain,
% 9.27/6.87 ((~(v88(constB89, bitIndex0) <=> v90(constB89, bitIndex0))) | (~v88(constB89, bitIndex0)) | v90(constB89, bitIndex0)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27468,plain,
% 9.27/6.87 (~v88(constB89, bitIndex0)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27467, 17023, 27466])).
% 9.27/6.87 tff(27469,plain,
% 9.27/6.87 ((~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27470,plain,
% 9.27/6.87 (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27469, 27423, 27468, 27462])).
% 9.27/6.87 tff(27471,plain,
% 9.27/6.87 ((~(v143(constB89) <=> (~(v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))))) | v143(constB89) | (v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex0))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27472,plain,
% 9.27/6.87 (v143(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27471, 27470, 27456])).
% 9.27/6.87 tff(27473,plain,
% 9.27/6.87 ((v143(constB89) | v144(constB89)) | (~v143(constB89))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27474,plain,
% 9.27/6.87 (v143(constB89) | v144(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27473, 27472])).
% 9.27/6.87 tff(27475,plain,
% 9.27/6.87 ((~(v142(constB89) <=> (v143(constB89) | v144(constB89)))) | v142(constB89) | (~(v143(constB89) | v144(constB89)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27476,plain,
% 9.27/6.87 (v142(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27475, 27474, 27449])).
% 9.27/6.87 tff(27477,plain,
% 9.27/6.87 ((v142(constB89) | v166(constB89)) | (~v142(constB89))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27478,plain,
% 9.27/6.87 (v142(constB89) | v166(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27477, 27476])).
% 9.27/6.87 tff(27479,plain,
% 9.27/6.87 ((~(v165(constB89) <=> (v142(constB89) | v166(constB89)))) | v165(constB89) | (~(v142(constB89) | v166(constB89)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27480,plain,
% 9.27/6.87 (v165(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27479, 27478, 27447])).
% 9.27/6.87 tff(27481,plain,
% 9.27/6.87 ((v145(constB89) | v165(constB89)) | (~v165(constB89))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27482,plain,
% 9.27/6.87 (v145(constB89) | v165(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27481, 27480])).
% 9.27/6.87 tff(27483,plain,
% 9.27/6.87 ((~(v164(constB89) <=> (v145(constB89) | v165(constB89)))) | v164(constB89) | (~(v145(constB89) | v165(constB89)))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27484,plain,
% 9.27/6.87 (v164(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27483, 27482, 27445])).
% 9.27/6.87 tff(27485,plain,
% 9.27/6.87 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB89)) | (v161(constB89) <=> v168(constB89)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB89)) | (v161(constB89) <=> v168(constB89)))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27486,plain,
% 9.27/6.87 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB89)) | (v161(constB89) <=> v168(constB89)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27487,plain,
% 9.27/6.87 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB89)) | (v161(constB89) <=> v168(constB89))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27486, 27485])).
% 9.27/6.87 tff(27488,plain,
% 9.27/6.87 ((~v164(constB89)) | (v161(constB89) <=> v168(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27487, 25977])).
% 9.27/6.87 tff(27489,plain,
% 9.27/6.87 (v161(constB89) <=> v168(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27488, 27484])).
% 9.27/6.87 tff(27490,plain,
% 9.27/6.87 ((~(v161(constB89) <=> v168(constB89))) | (~v161(constB89)) | v168(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27491,plain,
% 9.27/6.87 (~v161(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27490, 27489, 27443])).
% 9.27/6.87 tff(27492,plain,
% 9.27/6.87 ((~(v159(constB89) <=> v161(constB89))) | (~v159(constB89)) | v161(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27493,plain,
% 9.27/6.87 ((~(v159(constB89) <=> v161(constB89))) | (~v159(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27492, 27491])).
% 9.27/6.87 tff(27494,plain,
% 9.27/6.87 (~v159(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27493, 27415])).
% 9.27/6.87 tff(27495,plain,
% 9.27/6.87 (((~v184(constB89)) | (~v159(constB89))) | v159(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27496,plain,
% 9.27/6.87 ((~v184(constB89)) | (~v159(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27495, 27494])).
% 9.27/6.87 tff(27497,plain,
% 9.27/6.87 ((~(v187(constB89) <=> (~((~v184(constB89)) | (~v159(constB89)))))) | (~v187(constB89)) | (~((~v184(constB89)) | (~v159(constB89))))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27498,plain,
% 9.27/6.87 (~v187(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27497, 27496, 27413])).
% 9.27/6.87 tff(27499,plain,
% 9.27/6.87 (((~v186(constB89)) | (~v187(constB89))) | v187(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27500,plain,
% 9.27/6.87 ((~v186(constB89)) | (~v187(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27499, 27498])).
% 9.27/6.87 tff(27501,plain,
% 9.27/6.87 ((~(v185(constB89) <=> (~((~v186(constB89)) | (~v187(constB89)))))) | (~v185(constB89)) | (~((~v186(constB89)) | (~v187(constB89))))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27502,plain,
% 9.27/6.87 (~v185(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27501, 27500, 27411])).
% 9.27/6.87 tff(27503,plain,
% 9.27/6.87 ((~(v181(constB89) | v185(constB89))) | v181(constB89) | v185(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27504,plain,
% 9.27/6.87 (~(v181(constB89) | v185(constB89))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27503, 27502, 27409])).
% 9.27/6.87 tff(27505,plain,
% 9.27/6.87 ((~(v178(constB89) <=> (v181(constB89) | v185(constB89)))) | (~v178(constB89)) | (v181(constB89) | v185(constB89))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27506,plain,
% 9.27/6.87 (~v178(constB89)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27505, 27504, 27336])).
% 9.27/6.87 tff(27507,plain,
% 9.27/6.87 ((~(v180(constB90) <=> v178(constB89))) | (~v180(constB90)) | v178(constB89)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27508,plain,
% 9.27/6.87 (~v180(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27507, 27506, 27334])).
% 9.27/6.87 tff(27509,plain,
% 9.27/6.87 ((~(v157(constB90) <=> v180(constB90))) | (~v157(constB90)) | v180(constB90)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27510,plain,
% 9.27/6.87 (~v157(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27509, 27508, 27330])).
% 9.27/6.87 tff(27511,plain,
% 9.27/6.87 (((~v157(constB90)) | (~v182(constB90))) | v157(constB90)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27512,plain,
% 9.27/6.87 ((~v157(constB90)) | (~v182(constB90))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27511, 27510])).
% 9.27/6.87 tff(27513,plain,
% 9.27/6.87 ((~(v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90)))))) | (~v181(constB90)) | (~((~v157(constB90)) | (~v182(constB90))))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27514,plain,
% 9.27/6.87 (~v181(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27513, 27512, 27328])).
% 9.27/6.87 tff(27515,plain,
% 9.27/6.87 ((~(v181(constB90) | v185(constB90))) | v181(constB90) | v185(constB90)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27516,plain,
% 9.27/6.87 (~(v181(constB90) | v185(constB90))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27515, 27514, 27321])).
% 9.27/6.87 tff(27517,plain,
% 9.27/6.87 ((~(v178(constB90) <=> (v181(constB90) | v185(constB90)))) | (~v178(constB90)) | (v181(constB90) | v185(constB90))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27518,plain,
% 9.27/6.87 (~v178(constB90)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27517, 27516, 27296])).
% 9.27/6.87 tff(27519,plain,
% 9.27/6.87 ((~(v180(constB91) <=> v178(constB90))) | (~v180(constB91)) | v178(constB90)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27520,plain,
% 9.27/6.87 (~v180(constB91)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27519, 27518, 27294])).
% 9.27/6.87 tff(27521,plain,
% 9.27/6.87 ($false),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27520, 27290])).
% 9.27/6.87 tff(27522,plain,(~(constB91 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.27/6.87 tff(27523,assumption,(constB11 = VarCurr!0), introduced(assumption)).
% 9.27/6.87 tff(27524,plain,
% 9.27/6.87 (v180(constB11) <=> v180(VarCurr!0)),
% 9.27/6.87 inference(monotonicity,[status(thm)],[27523])).
% 9.27/6.87 tff(27525,plain,
% 9.27/6.87 (v180(VarCurr!0) <=> v180(constB11)),
% 9.27/6.87 inference(symmetry,[status(thm)],[27524])).
% 9.27/6.87 tff(27526,plain,
% 9.27/6.87 (v180(constB11)),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[59, 27525])).
% 9.27/6.87 tff(27527,plain,
% 9.27/6.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB10, constB11)) | (v180(constB11) <=> v178(constB10)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB10, constB11)) | (v180(constB11) <=> v178(constB10)))),
% 9.27/6.87 inference(rewrite,[status(thm)],[])).
% 9.27/6.87 tff(27528,plain,
% 9.27/6.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB10, constB11)) | (v180(constB11) <=> v178(constB10)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27529,plain,
% 9.27/6.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB10, constB11)) | (v180(constB11) <=> v178(constB10))),
% 9.27/6.87 inference(modus_ponens,[status(thm)],[27528, 27527])).
% 9.27/6.87 tff(27530,plain,
% 9.27/6.87 (v180(constB11) <=> v178(constB10)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27529, 9144, 70])).
% 9.27/6.87 tff(27531,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB10) <=> (v181(constB10) | v185(constB10)))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27532,plain,
% 9.27/6.87 (v178(constB10) <=> (v181(constB10) | v185(constB10))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27531, 84])).
% 9.27/6.87 tff(27533,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB10) <=> (~((~v186(constB10)) | (~v187(constB10)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27534,plain,
% 9.27/6.87 (v185(constB10) <=> (~((~v186(constB10)) | (~v187(constB10))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27533, 96])).
% 9.27/6.87 tff(27535,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB10) <=> (~((~v184(constB10)) | (~v159(constB10)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27536,plain,
% 9.27/6.87 (v187(constB10) <=> (~((~v184(constB10)) | (~v159(constB10))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27535, 108])).
% 9.27/6.87 tff(27537,plain,
% 9.27/6.87 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27538,plain,
% 9.27/6.87 (v184(constB10) <=> (~((~v39(constB10)) | (~v9(constB10))))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27537, 120])).
% 9.27/6.87 tff(27539,plain,
% 9.27/6.87 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB10)) <=> v1(constB10))),
% 9.27/6.87 inference(quant_inst,[status(thm)],[])).
% 9.27/6.87 tff(27540,plain,
% 9.27/6.87 ((~v39(constB10)) <=> v1(constB10)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27539, 129])).
% 9.27/6.87 tff(27541,plain,
% 9.27/6.87 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10)) | (~v1(constB10))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27542,plain,
% 9.27/6.87 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27541, 9206])).
% 9.27/6.87 tff(27543,plain,
% 9.27/6.87 (~v39(constB10)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27542, 27540])).
% 9.27/6.87 tff(27544,plain,
% 9.27/6.87 (((~v39(constB10)) | (~v9(constB10))) | v39(constB10)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27545,plain,
% 9.27/6.87 ((~v39(constB10)) | (~v9(constB10))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27544, 27543])).
% 9.27/6.87 tff(27546,plain,
% 9.27/6.87 ((~(v184(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v184(constB10)) | (~((~v39(constB10)) | (~v9(constB10))))),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27547,plain,
% 9.27/6.87 ((~(v184(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v184(constB10))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27546, 27545])).
% 9.27/6.87 tff(27548,plain,
% 9.27/6.87 (~v184(constB10)),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27547, 27538])).
% 9.27/6.87 tff(27549,plain,
% 9.27/6.87 (((~v184(constB10)) | (~v159(constB10))) | v184(constB10)),
% 9.27/6.87 inference(tautology,[status(thm)],[])).
% 9.27/6.87 tff(27550,plain,
% 9.27/6.87 ((~v184(constB10)) | (~v159(constB10))),
% 9.27/6.87 inference(unit_resolution,[status(thm)],[27549, 27548])).
% 9.27/6.87 tff(27551,plain,
% 9.27/6.87 ((~(v187(constB10) <=> (~((~v184(constB10)) | (~v159(constB10)))))) | (~v187(constB10)) | (~((~v184(constB10)) | (~v159(constB10))))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27552,plain,
% 9.27/6.88 ((~(v187(constB10) <=> (~((~v184(constB10)) | (~v159(constB10)))))) | (~v187(constB10))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27551, 27550])).
% 9.27/6.88 tff(27553,plain,
% 9.27/6.88 (~v187(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27552, 27536])).
% 9.27/6.88 tff(27554,plain,
% 9.27/6.88 (((~v186(constB10)) | (~v187(constB10))) | v187(constB10)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27555,plain,
% 9.27/6.88 ((~v186(constB10)) | (~v187(constB10))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27554, 27553])).
% 9.27/6.88 tff(27556,plain,
% 9.27/6.88 ((~(v185(constB10) <=> (~((~v186(constB10)) | (~v187(constB10)))))) | (~v185(constB10)) | (~((~v186(constB10)) | (~v187(constB10))))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27557,plain,
% 9.27/6.88 (~v185(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27556, 27555, 27534])).
% 9.27/6.88 tff(27558,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10))))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27559,plain,
% 9.27/6.88 ((v181(constB10) <=> (~((~v182(constB10)) | (~v157(constB10))))) <=> (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10)))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27560,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v182(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10))))))),
% 9.27/6.88 inference(monotonicity,[status(thm)],[27559])).
% 9.27/6.88 tff(27561,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v182(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10))))))),
% 9.27/6.88 inference(transitivity,[status(thm)],[27560, 27558])).
% 9.27/6.88 tff(27562,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v182(constB10)) | (~v157(constB10)))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27563,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10)))))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27562, 27561])).
% 9.27/6.88 tff(27564,plain,
% 9.27/6.88 (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10))))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27563, 161])).
% 9.27/6.88 tff(27565,plain,
% 9.27/6.88 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB10) <=> v180(constB10))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27566,plain,
% 9.27/6.88 (v157(constB10) <=> v180(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27565, 13])).
% 9.27/6.88 tff(27567,plain,
% 9.27/6.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB9, constB10)) | (v180(constB10) <=> v178(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB9, constB10)) | (v180(constB10) <=> v178(constB9)))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27568,plain,
% 9.27/6.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB9, constB10)) | (v180(constB10) <=> v178(constB9)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27569,plain,
% 9.27/6.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB9, constB10)) | (v180(constB10) <=> v178(constB9))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27568, 27567])).
% 9.27/6.88 tff(27570,plain,
% 9.27/6.88 (v180(constB10) <=> v178(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27569, 9176, 70])).
% 9.27/6.88 tff(27571,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB9) <=> (v181(constB9) | v185(constB9)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27572,plain,
% 9.27/6.88 (v178(constB9) <=> (v181(constB9) | v185(constB9))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27571, 84])).
% 9.27/6.88 tff(27573,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9))))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27574,plain,
% 9.27/6.88 ((v181(constB9) <=> (~((~v182(constB9)) | (~v157(constB9))))) <=> (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9)))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27575,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v182(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9))))))),
% 9.27/6.88 inference(monotonicity,[status(thm)],[27574])).
% 9.27/6.88 tff(27576,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v182(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9))))))),
% 9.27/6.88 inference(transitivity,[status(thm)],[27575, 27573])).
% 9.27/6.88 tff(27577,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v182(constB9)) | (~v157(constB9)))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27578,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9)))))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27577, 27576])).
% 9.27/6.88 tff(27579,plain,
% 9.27/6.88 (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9))))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27578, 161])).
% 9.27/6.88 tff(27580,plain,
% 9.27/6.88 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB9)) <=> v183(constB9))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27581,plain,
% 9.27/6.88 ((~v182(constB9)) <=> v183(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27580, 193])).
% 9.27/6.88 tff(27582,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB9) <=> (v184(constB9) | v26(constB9)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27583,plain,
% 9.27/6.88 (v183(constB9) <=> (v184(constB9) | v26(constB9))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27582, 202])).
% 9.27/6.88 tff(27584,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27585,plain,
% 9.27/6.88 (v184(constB9) <=> (~((~v39(constB9)) | (~v9(constB9))))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27584, 120])).
% 9.27/6.88 tff(27586,plain,
% 9.27/6.88 (((~![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)))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27587,plain,
% 9.27/6.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27588,plain,
% 9.27/6.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27587, 27586])).
% 9.27/6.88 tff(27589,plain,
% 9.27/6.88 (v13(constB10) <=> v9(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27588, 9176, 216])).
% 9.27/6.88 tff(27590,plain,
% 9.27/6.88 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB10) <=> v13(constB10))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27591,plain,
% 9.27/6.88 (v6(constB10) <=> v13(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27590, 230])).
% 9.27/6.88 tff(27592,plain,
% 9.27/6.88 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB10)) <=> v6(constB10))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27593,plain,
% 9.27/6.88 ((~v21(constB10)) <=> v6(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27592, 239])).
% 9.27/6.88 tff(27594,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB10) <=> (v20(constB10) | v21(constB10)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27595,plain,
% 9.27/6.88 (v19(constB10) <=> (v20(constB10) | v21(constB10))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27594, 248])).
% 9.27/6.88 tff(27596,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27597,plain,
% 9.27/6.88 (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10))))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27596, 260])).
% 9.27/6.88 tff(27598,plain,
% 9.27/6.88 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB10)) <=> v18(constB10))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27599,plain,
% 9.27/6.88 ((~v4(constB10)) <=> v18(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27598, 269])).
% 9.27/6.88 tff(27600,plain,
% 9.27/6.88 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB10)),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27601,plain,
% 9.27/6.88 (v4(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27600, 278])).
% 9.27/6.88 tff(27602,plain,
% 9.27/6.88 ((~((~v4(constB10)) <=> v18(constB10))) | (~v4(constB10)) | (~v18(constB10))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27603,plain,
% 9.27/6.88 (~v18(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27602, 27601, 27599])).
% 9.27/6.88 tff(27604,plain,
% 9.27/6.88 ((~(v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))) | v18(constB10) | ((~v19(constB10)) | (~v22(constB10)))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27605,plain,
% 9.27/6.88 ((~v19(constB10)) | (~v22(constB10))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27604, 27603, 27597])).
% 9.27/6.88 tff(27606,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB10) <=> (v1(constB10) | v6(constB10)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27607,plain,
% 9.27/6.88 (v22(constB10) <=> (v1(constB10) | v6(constB10))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27606, 291])).
% 9.27/6.88 tff(27608,plain,
% 9.27/6.88 ((v1(constB10) | v6(constB10)) | (~v1(constB10))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27609,plain,
% 9.27/6.88 (v1(constB10) | v6(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27608, 9206])).
% 9.27/6.88 tff(27610,plain,
% 9.27/6.88 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10) | (~(v1(constB10) | v6(constB10)))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27611,plain,
% 9.27/6.88 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27610, 27609])).
% 9.27/6.88 tff(27612,plain,
% 9.27/6.88 (v22(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27611, 27607])).
% 9.27/6.88 tff(27613,plain,
% 9.27/6.88 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10)) | (~v22(constB10))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27614,plain,
% 9.27/6.88 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27613, 27612])).
% 9.27/6.88 tff(27615,plain,
% 9.27/6.88 (~v19(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27614, 27605])).
% 9.27/6.88 tff(27616,plain,
% 9.27/6.88 ((~(v19(constB10) <=> (v20(constB10) | v21(constB10)))) | v19(constB10) | (~(v20(constB10) | v21(constB10)))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27617,plain,
% 9.27/6.88 (~(v20(constB10) | v21(constB10))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27616, 27615, 27595])).
% 9.27/6.88 tff(27618,plain,
% 9.27/6.88 ((v20(constB10) | v21(constB10)) | (~v21(constB10))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27619,plain,
% 9.27/6.88 (~v21(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27618, 27617])).
% 9.27/6.88 tff(27620,plain,
% 9.27/6.88 ((~((~v21(constB10)) <=> v6(constB10))) | v21(constB10) | v6(constB10)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27621,plain,
% 9.27/6.88 (v6(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27620, 27619, 27593])).
% 9.27/6.88 tff(27622,plain,
% 9.27/6.88 ((~(v6(constB10) <=> v13(constB10))) | (~v6(constB10)) | v13(constB10)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27623,plain,
% 9.27/6.88 (v13(constB10)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27622, 27621, 27591])).
% 9.27/6.88 tff(27624,plain,
% 9.27/6.88 ((~(v13(constB10) <=> v9(constB9))) | (~v13(constB10)) | v9(constB9)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27625,plain,
% 9.27/6.88 (v9(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27624, 27623, 27589])).
% 9.27/6.88 tff(27626,plain,
% 9.27/6.88 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB9)) <=> v1(constB9))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27627,plain,
% 9.27/6.88 ((~v39(constB9)) <=> v1(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27626, 129])).
% 9.27/6.88 tff(27628,plain,
% 9.27/6.88 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9) | v1(constB9)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27629,plain,
% 9.27/6.88 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27628, 9198])).
% 9.27/6.88 tff(27630,plain,
% 9.27/6.88 (v39(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27629, 27627])).
% 9.27/6.88 tff(27631,plain,
% 9.27/6.88 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v39(constB9)) | (~v9(constB9))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27632,plain,
% 9.27/6.88 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v9(constB9))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27631, 27630])).
% 9.27/6.88 tff(27633,plain,
% 9.27/6.88 (~((~v39(constB9)) | (~v9(constB9)))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27632, 27625])).
% 9.27/6.88 tff(27634,plain,
% 9.27/6.88 ((~(v184(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))) | v184(constB9) | ((~v39(constB9)) | (~v9(constB9)))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27635,plain,
% 9.27/6.88 (v184(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27634, 27633, 27585])).
% 9.27/6.88 tff(27636,plain,
% 9.27/6.88 ((v184(constB9) | v26(constB9)) | (~v184(constB9))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27637,plain,
% 9.27/6.88 (v184(constB9) | v26(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27636, 27635])).
% 9.27/6.88 tff(27638,plain,
% 9.27/6.88 ((~(v183(constB9) <=> (v184(constB9) | v26(constB9)))) | v183(constB9) | (~(v184(constB9) | v26(constB9)))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27639,plain,
% 9.27/6.88 (v183(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27638, 27637, 27583])).
% 9.27/6.88 tff(27640,plain,
% 9.27/6.88 ((~((~v182(constB9)) <=> v183(constB9))) | (~v182(constB9)) | (~v183(constB9))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27641,plain,
% 9.27/6.88 (~v182(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27640, 27639, 27581])).
% 9.27/6.88 tff(27642,plain,
% 9.27/6.88 (((~v157(constB9)) | (~v182(constB9))) | v182(constB9)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27643,plain,
% 9.27/6.88 ((~v157(constB9)) | (~v182(constB9))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27642, 27641])).
% 9.27/6.88 tff(27644,plain,
% 9.27/6.88 ((~(v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9)))))) | (~v181(constB9)) | (~((~v157(constB9)) | (~v182(constB9))))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27645,plain,
% 9.27/6.88 (~v181(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27644, 27643, 27579])).
% 9.27/6.88 tff(27646,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB9) <=> (~((~v186(constB9)) | (~v187(constB9)))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27647,plain,
% 9.27/6.88 (v185(constB9) <=> (~((~v186(constB9)) | (~v187(constB9))))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27646, 96])).
% 9.27/6.88 tff(27648,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB9) <=> (~((~v184(constB9)) | (~v159(constB9)))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27649,plain,
% 9.27/6.88 (v187(constB9) <=> (~((~v184(constB9)) | (~v159(constB9))))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27648, 108])).
% 9.27/6.88 tff(27650,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB9) <=> v161(constB9))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27651,plain,
% 9.27/6.88 (v159(constB9) <=> v161(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27650, 345])).
% 9.27/6.88 tff(27652,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27653,plain,
% 9.27/6.88 (v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27652, 360])).
% 9.27/6.88 tff(27654,plain,
% 9.27/6.88 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27655,plain,
% 9.27/6.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27656,plain,
% 9.27/6.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27655, 27654])).
% 9.27/6.88 tff(27657,plain,
% 9.27/6.88 (v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27656, 648, 372])).
% 9.27/6.88 tff(27658,plain,
% 9.27/6.88 ((~(v88(constB9, bitIndex2) <=> v90(constB9, bitIndex2))) | v88(constB9, bitIndex2) | (~v90(constB9, bitIndex2))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27659,plain,
% 9.27/6.88 (v88(constB9, bitIndex2)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27658, 10406, 27657])).
% 9.27/6.88 tff(27660,plain,
% 9.27/6.88 ((v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex2))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27661,plain,
% 9.27/6.88 (v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27660, 27659])).
% 9.27/6.88 tff(27662,plain,
% 9.27/6.88 ((~(v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2))))) | (~v139(constB9)) | (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27663,plain,
% 9.27/6.88 (~v139(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27662, 27661, 27653])).
% 9.27/6.88 tff(27664,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27665,plain,
% 9.27/6.88 ((v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0))))) <=> (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0)))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27666,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))))))),
% 9.27/6.88 inference(monotonicity,[status(thm)],[27665])).
% 9.27/6.88 tff(27667,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))))))),
% 9.27/6.88 inference(transitivity,[status(thm)],[27666, 27664])).
% 9.27/6.88 tff(27668,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0)))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27669,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0)))))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27668, 27667])).
% 9.27/6.88 tff(27670,plain,
% 9.27/6.88 (v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27669, 25795])).
% 9.27/6.88 tff(27671,plain,
% 9.27/6.88 ((v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))) | (~v88(constB9, bitIndex2))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27672,plain,
% 9.27/6.88 (v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27671, 27659])).
% 9.27/6.88 tff(27673,plain,
% 9.27/6.88 ((~(v140(constB9) <=> (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0)))))) | (~v140(constB9)) | (~(v88(constB9, bitIndex2) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex0))))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27674,plain,
% 9.27/6.88 (~v140(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27673, 27672, 27670])).
% 9.27/6.88 tff(27675,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB9) | v140(constB9) | (~v168(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB9) | v140(constB9) | (~v168(constB9)))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27676,plain,
% 9.27/6.88 ((v140(constB9) | v139(constB9) | (~v168(constB9))) <=> (v139(constB9) | v140(constB9) | (~v168(constB9)))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27677,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v168(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB9) | v140(constB9) | (~v168(constB9))))),
% 9.27/6.88 inference(monotonicity,[status(thm)],[27676])).
% 9.27/6.88 tff(27678,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v168(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB9) | v140(constB9) | (~v168(constB9)))),
% 9.27/6.88 inference(transitivity,[status(thm)],[27677, 27675])).
% 9.27/6.88 tff(27679,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v168(constB9)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27680,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB9) | v140(constB9) | (~v168(constB9))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27679, 27678])).
% 9.27/6.88 tff(27681,plain,
% 9.27/6.88 (v139(constB9) | v140(constB9) | (~v168(constB9))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27680, 25819])).
% 9.27/6.88 tff(27682,plain,
% 9.27/6.88 (~v168(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27681, 27674, 27663])).
% 9.27/6.88 tff(27683,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB9) <=> (v145(constB9) | v165(constB9)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27684,plain,
% 9.27/6.88 (v164(constB9) <=> (v145(constB9) | v165(constB9))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27683, 25834])).
% 9.27/6.88 tff(27685,plain,
% 9.27/6.88 (^[VarCurr: $i] : refl((v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))))),
% 9.27/6.88 inference(bind,[status(th)],[])).
% 9.27/6.88 tff(27686,plain,
% 9.27/6.88 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 9.27/6.88 inference(quant_intro,[status(thm)],[27685])).
% 9.27/6.88 tff(27687,plain,
% 9.27/6.88 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27688,axiom,(![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_32')).
% 9.27/6.88 tff(27689,plain,
% 9.27/6.88 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27688, 27687])).
% 9.27/6.88 tff(27690,plain,(
% 9.27/6.88 ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 9.27/6.88 inference(skolemize,[status(sab)],[27689])).
% 9.27/6.88 tff(27691,plain,
% 9.27/6.88 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27690, 27686])).
% 9.27/6.88 tff(27692,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB9) <=> (v146(constB9) | v147(constB9)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27693,plain,
% 9.27/6.88 (v145(constB9) <=> (v146(constB9) | v147(constB9))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27692, 27691])).
% 9.27/6.88 tff(27694,plain,
% 9.27/6.88 (^[VarCurr: $i] : refl((v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2))))) <=> (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2))))))),
% 9.27/6.88 inference(bind,[status(th)],[])).
% 9.27/6.88 tff(27695,plain,
% 9.27/6.88 (![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 9.27/6.88 inference(quant_intro,[status(thm)],[27694])).
% 9.27/6.88 tff(27696,plain,
% 9.27/6.88 (^[VarCurr: $i] : rewrite((v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2))))))),
% 9.27/6.88 inference(bind,[status(th)],[])).
% 9.27/6.88 tff(27697,plain,
% 9.27/6.88 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 9.27/6.88 inference(quant_intro,[status(thm)],[27696])).
% 9.27/6.88 tff(27698,plain,
% 9.27/6.88 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27699,plain,
% 9.27/6.88 (^[VarCurr: $i] : rewrite((v146(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))))),
% 9.27/6.88 inference(bind,[status(th)],[])).
% 9.27/6.88 tff(27700,plain,
% 9.27/6.88 (![VarCurr: $i] : (v146(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 9.27/6.88 inference(quant_intro,[status(thm)],[27699])).
% 9.27/6.88 tff(27701,axiom,(![VarCurr: $i] : (v146(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14')).
% 9.27/6.88 tff(27702,plain,
% 9.27/6.88 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27701, 27700])).
% 9.27/6.88 tff(27703,plain,
% 9.27/6.88 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27702, 27698])).
% 9.27/6.88 tff(27704,plain,(
% 9.27/6.88 ![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 9.27/6.88 inference(skolemize,[status(sab)],[27703])).
% 9.27/6.88 tff(27705,plain,
% 9.27/6.88 (![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27704, 27697])).
% 9.27/6.88 tff(27706,plain,
% 9.27/6.88 (![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27705, 27695])).
% 9.27/6.88 tff(27707,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0)))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27708,plain,
% 9.27/6.88 ((v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2))))) <=> (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27709,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0)))))),
% 9.27/6.88 inference(monotonicity,[status(thm)],[27708])).
% 9.27/6.88 tff(27710,plain,
% 9.27/6.88 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0)))))),
% 9.27/6.88 inference(transitivity,[status(thm)],[27709, 27707])).
% 9.27/6.88 tff(27711,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)))))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27712,plain,
% 9.27/6.88 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27711, 27710])).
% 9.27/6.88 tff(27713,plain,
% 9.27/6.88 (v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0)))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27712, 27706])).
% 9.27/6.88 tff(27714,plain,
% 9.27/6.88 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27715,plain,
% 9.27/6.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27716,plain,
% 9.27/6.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27715, 27714])).
% 9.27/6.88 tff(27717,plain,
% 9.27/6.88 (v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27716, 9653, 372])).
% 9.27/6.88 tff(27718,plain,
% 9.27/6.88 ((~(v88(constB9, bitIndex0) <=> v90(constB9, bitIndex0))) | (~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27719,plain,
% 9.27/6.88 (~v88(constB9, bitIndex0)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27718, 10440, 27717])).
% 9.27/6.88 tff(27720,plain,
% 9.27/6.88 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)))),
% 9.27/6.88 inference(rewrite,[status(thm)],[])).
% 9.27/6.88 tff(27721,plain,
% 9.27/6.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)))),
% 9.27/6.88 inference(quant_inst,[status(thm)],[])).
% 9.27/6.88 tff(27722,plain,
% 9.27/6.88 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1))),
% 9.27/6.88 inference(modus_ponens,[status(thm)],[27721, 27720])).
% 9.27/6.88 tff(27723,plain,
% 9.27/6.88 (v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27722, 375, 372])).
% 9.27/6.88 tff(27724,plain,
% 9.27/6.88 ((~(v88(constB9, bitIndex1) <=> v90(constB9, bitIndex1))) | (~v88(constB9, bitIndex1)) | v90(constB9, bitIndex1)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27725,plain,
% 9.27/6.88 (~v88(constB9, bitIndex1)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27724, 10474, 27723])).
% 9.27/6.88 tff(27726,plain,
% 9.27/6.88 ((~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0)),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27727,plain,
% 9.27/6.88 (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27726, 27725, 27719, 27659])).
% 9.27/6.88 tff(27728,plain,
% 9.27/6.88 ((~(v146(constB9) <=> (~((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))))) | v146(constB9) | ((~v88(constB9, bitIndex2)) | v88(constB9, bitIndex1) | v88(constB9, bitIndex0))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27729,plain,
% 9.27/6.88 (v146(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27728, 27727, 27713])).
% 9.27/6.88 tff(27730,plain,
% 9.27/6.88 ((v146(constB9) | v147(constB9)) | (~v146(constB9))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27731,plain,
% 9.27/6.88 (v146(constB9) | v147(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27730, 27729])).
% 9.27/6.88 tff(27732,plain,
% 9.27/6.88 ((~(v145(constB9) <=> (v146(constB9) | v147(constB9)))) | v145(constB9) | (~(v146(constB9) | v147(constB9)))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27733,plain,
% 9.27/6.88 (v145(constB9)),
% 9.27/6.88 inference(unit_resolution,[status(thm)],[27732, 27731, 27693])).
% 9.27/6.88 tff(27734,plain,
% 9.27/6.88 ((v145(constB9) | v165(constB9)) | (~v145(constB9))),
% 9.27/6.88 inference(tautology,[status(thm)],[])).
% 9.27/6.88 tff(27735,plain,
% 9.27/6.89 (v145(constB9) | v165(constB9)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27734, 27733])).
% 9.27/6.89 tff(27736,plain,
% 9.27/6.89 ((~(v164(constB9) <=> (v145(constB9) | v165(constB9)))) | v164(constB9) | (~(v145(constB9) | v165(constB9)))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27737,plain,
% 9.27/6.89 (v164(constB9)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27736, 27735, 27684])).
% 9.27/6.89 tff(27738,plain,
% 9.27/6.89 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB9)) | (v161(constB9) <=> v168(constB9)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB9)) | (v161(constB9) <=> v168(constB9)))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27739,plain,
% 9.27/6.89 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB9)) | (v161(constB9) <=> v168(constB9)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27740,plain,
% 9.27/6.89 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB9)) | (v161(constB9) <=> v168(constB9))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27739, 27738])).
% 9.27/6.89 tff(27741,plain,
% 9.27/6.89 ((~v164(constB9)) | (v161(constB9) <=> v168(constB9))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27740, 25977])).
% 9.27/6.89 tff(27742,plain,
% 9.27/6.89 (v161(constB9) <=> v168(constB9)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27741, 27737])).
% 9.27/6.89 tff(27743,plain,
% 9.27/6.89 ((~(v161(constB9) <=> v168(constB9))) | (~v161(constB9)) | v168(constB9)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27744,plain,
% 9.27/6.89 (~v161(constB9)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27743, 27742, 27682])).
% 9.27/6.89 tff(27745,plain,
% 9.27/6.89 ((~(v159(constB9) <=> v161(constB9))) | (~v159(constB9)) | v161(constB9)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27746,plain,
% 9.27/6.89 ((~(v159(constB9) <=> v161(constB9))) | (~v159(constB9))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27745, 27744])).
% 9.27/6.89 tff(27747,plain,
% 9.27/6.89 (~v159(constB9)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27746, 27651])).
% 9.27/6.89 tff(27748,plain,
% 9.27/6.89 (((~v184(constB9)) | (~v159(constB9))) | v159(constB9)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27749,plain,
% 9.27/6.89 ((~v184(constB9)) | (~v159(constB9))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27748, 27747])).
% 9.27/6.89 tff(27750,plain,
% 9.27/6.89 ((~(v187(constB9) <=> (~((~v184(constB9)) | (~v159(constB9)))))) | (~v187(constB9)) | (~((~v184(constB9)) | (~v159(constB9))))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27751,plain,
% 9.27/6.89 (~v187(constB9)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27750, 27749, 27649])).
% 9.27/6.89 tff(27752,plain,
% 9.27/6.89 (((~v186(constB9)) | (~v187(constB9))) | v187(constB9)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27753,plain,
% 9.27/6.89 ((~v186(constB9)) | (~v187(constB9))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27752, 27751])).
% 9.27/6.89 tff(27754,plain,
% 9.27/6.89 ((~(v185(constB9) <=> (~((~v186(constB9)) | (~v187(constB9)))))) | (~v185(constB9)) | (~((~v186(constB9)) | (~v187(constB9))))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27755,plain,
% 9.27/6.89 (~v185(constB9)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27754, 27753, 27647])).
% 9.27/6.89 tff(27756,plain,
% 9.27/6.89 ((~(v181(constB9) | v185(constB9))) | v181(constB9) | v185(constB9)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27757,plain,
% 9.27/6.89 (~(v181(constB9) | v185(constB9))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27756, 27755, 27645])).
% 9.27/6.89 tff(27758,plain,
% 9.27/6.89 ((~(v178(constB9) <=> (v181(constB9) | v185(constB9)))) | (~v178(constB9)) | (v181(constB9) | v185(constB9))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27759,plain,
% 9.27/6.89 (~v178(constB9)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27758, 27757, 27572])).
% 9.27/6.89 tff(27760,plain,
% 9.27/6.89 ((~(v180(constB10) <=> v178(constB9))) | (~v180(constB10)) | v178(constB9)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27761,plain,
% 9.27/6.89 (~v180(constB10)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27760, 27759, 27570])).
% 9.27/6.89 tff(27762,plain,
% 9.27/6.89 ((~(v157(constB10) <=> v180(constB10))) | (~v157(constB10)) | v180(constB10)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27763,plain,
% 9.27/6.89 (~v157(constB10)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27762, 27761, 27566])).
% 9.27/6.89 tff(27764,plain,
% 9.27/6.89 (((~v157(constB10)) | (~v182(constB10))) | v157(constB10)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27765,plain,
% 9.27/6.89 ((~v157(constB10)) | (~v182(constB10))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27764, 27763])).
% 9.27/6.89 tff(27766,plain,
% 9.27/6.89 ((~(v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10)))))) | (~v181(constB10)) | (~((~v157(constB10)) | (~v182(constB10))))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27767,plain,
% 9.27/6.89 (~v181(constB10)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27766, 27765, 27564])).
% 9.27/6.89 tff(27768,plain,
% 9.27/6.89 ((~(v181(constB10) | v185(constB10))) | v181(constB10) | v185(constB10)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27769,plain,
% 9.27/6.89 (~(v181(constB10) | v185(constB10))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27768, 27767, 27557])).
% 9.27/6.89 tff(27770,plain,
% 9.27/6.89 ((~(v178(constB10) <=> (v181(constB10) | v185(constB10)))) | (~v178(constB10)) | (v181(constB10) | v185(constB10))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27771,plain,
% 9.27/6.89 (~v178(constB10)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27770, 27769, 27532])).
% 9.27/6.89 tff(27772,plain,
% 9.27/6.89 ((~(v180(constB11) <=> v178(constB10))) | (~v180(constB11)) | v178(constB10)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27773,plain,
% 9.27/6.89 (~v180(constB11)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27772, 27771, 27530])).
% 9.27/6.89 tff(27774,plain,
% 9.27/6.89 ($false),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27773, 27526])).
% 9.27/6.89 tff(27775,plain,(~(constB11 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.27/6.89 tff(27776,assumption,(constB47 = VarCurr!0), introduced(assumption)).
% 9.27/6.89 tff(27777,plain,
% 9.27/6.89 (v180(constB47) <=> v180(VarCurr!0)),
% 9.27/6.89 inference(monotonicity,[status(thm)],[27776])).
% 9.27/6.89 tff(27778,plain,
% 9.27/6.89 (v180(VarCurr!0) <=> v180(constB47)),
% 9.27/6.89 inference(symmetry,[status(thm)],[27777])).
% 9.27/6.89 tff(27779,plain,
% 9.27/6.89 (v180(constB47)),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[59, 27778])).
% 9.27/6.89 tff(27780,plain,
% 9.27/6.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB46, constB47)) | (v180(constB47) <=> v178(constB46)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB46, constB47)) | (v180(constB47) <=> v178(constB46)))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27781,plain,
% 9.27/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB46, constB47)) | (v180(constB47) <=> v178(constB46)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27782,plain,
% 9.27/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB46, constB47)) | (v180(constB47) <=> v178(constB46))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27781, 27780])).
% 9.27/6.89 tff(27783,plain,
% 9.27/6.89 (v180(constB47) <=> v178(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27782, 7488, 70])).
% 9.27/6.89 tff(27784,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB46) <=> (v181(constB46) | v185(constB46)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27785,plain,
% 9.27/6.89 (v178(constB46) <=> (v181(constB46) | v185(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27784, 84])).
% 9.27/6.89 tff(27786,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB46) <=> (~((~v186(constB46)) | (~v187(constB46)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27787,plain,
% 9.27/6.89 (v185(constB46) <=> (~((~v186(constB46)) | (~v187(constB46))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27786, 96])).
% 9.27/6.89 tff(27788,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB46) <=> (~((~v184(constB46)) | (~v159(constB46)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27789,plain,
% 9.27/6.89 (v187(constB46) <=> (~((~v184(constB46)) | (~v159(constB46))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27788, 108])).
% 9.27/6.89 tff(27790,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27791,plain,
% 9.27/6.89 (v184(constB46) <=> (~((~v39(constB46)) | (~v9(constB46))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27790, 120])).
% 9.27/6.89 tff(27792,plain,
% 9.27/6.89 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB46)) <=> v1(constB46))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27793,plain,
% 9.27/6.89 ((~v39(constB46)) <=> v1(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27792, 129])).
% 9.27/6.89 tff(27794,plain,
% 9.27/6.89 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46)) | (~v1(constB46))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27795,plain,
% 9.27/6.89 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27794, 7550])).
% 9.27/6.89 tff(27796,plain,
% 9.27/6.89 (~v39(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27795, 27793])).
% 9.27/6.89 tff(27797,plain,
% 9.27/6.89 (((~v39(constB46)) | (~v9(constB46))) | v39(constB46)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27798,plain,
% 9.27/6.89 ((~v39(constB46)) | (~v9(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27797, 27796])).
% 9.27/6.89 tff(27799,plain,
% 9.27/6.89 ((~(v184(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v184(constB46)) | (~((~v39(constB46)) | (~v9(constB46))))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27800,plain,
% 9.27/6.89 ((~(v184(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v184(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27799, 27798])).
% 9.27/6.89 tff(27801,plain,
% 9.27/6.89 (~v184(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27800, 27791])).
% 9.27/6.89 tff(27802,plain,
% 9.27/6.89 (((~v184(constB46)) | (~v159(constB46))) | v184(constB46)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27803,plain,
% 9.27/6.89 ((~v184(constB46)) | (~v159(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27802, 27801])).
% 9.27/6.89 tff(27804,plain,
% 9.27/6.89 ((~(v187(constB46) <=> (~((~v184(constB46)) | (~v159(constB46)))))) | (~v187(constB46)) | (~((~v184(constB46)) | (~v159(constB46))))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27805,plain,
% 9.27/6.89 ((~(v187(constB46) <=> (~((~v184(constB46)) | (~v159(constB46)))))) | (~v187(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27804, 27803])).
% 9.27/6.89 tff(27806,plain,
% 9.27/6.89 (~v187(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27805, 27789])).
% 9.27/6.89 tff(27807,plain,
% 9.27/6.89 (((~v186(constB46)) | (~v187(constB46))) | v187(constB46)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27808,plain,
% 9.27/6.89 ((~v186(constB46)) | (~v187(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27807, 27806])).
% 9.27/6.89 tff(27809,plain,
% 9.27/6.89 ((~(v185(constB46) <=> (~((~v186(constB46)) | (~v187(constB46)))))) | (~v185(constB46)) | (~((~v186(constB46)) | (~v187(constB46))))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27810,plain,
% 9.27/6.89 (~v185(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27809, 27808, 27787])).
% 9.27/6.89 tff(27811,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46))))))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27812,plain,
% 9.27/6.89 ((v181(constB46) <=> (~((~v182(constB46)) | (~v157(constB46))))) <=> (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46)))))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27813,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v182(constB46)) | (~v157(constB46)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46))))))),
% 9.27/6.89 inference(monotonicity,[status(thm)],[27812])).
% 9.27/6.89 tff(27814,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v182(constB46)) | (~v157(constB46)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46))))))),
% 9.27/6.89 inference(transitivity,[status(thm)],[27813, 27811])).
% 9.27/6.89 tff(27815,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v182(constB46)) | (~v157(constB46)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27816,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46)))))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27815, 27814])).
% 9.27/6.89 tff(27817,plain,
% 9.27/6.89 (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27816, 161])).
% 9.27/6.89 tff(27818,plain,
% 9.27/6.89 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB46) <=> v180(constB46))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27819,plain,
% 9.27/6.89 (v157(constB46) <=> v180(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27818, 13])).
% 9.27/6.89 tff(27820,plain,
% 9.27/6.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB45, constB46)) | (v180(constB46) <=> v178(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB45, constB46)) | (v180(constB46) <=> v178(constB45)))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27821,plain,
% 9.27/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB45, constB46)) | (v180(constB46) <=> v178(constB45)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27822,plain,
% 9.27/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB45, constB46)) | (v180(constB46) <=> v178(constB45))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27821, 27820])).
% 9.27/6.89 tff(27823,plain,
% 9.27/6.89 (v180(constB46) <=> v178(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27822, 7520, 70])).
% 9.27/6.89 tff(27824,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB45) <=> (v181(constB45) | v185(constB45)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27825,plain,
% 9.27/6.89 (v178(constB45) <=> (v181(constB45) | v185(constB45))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27824, 84])).
% 9.27/6.89 tff(27826,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45))))))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27827,plain,
% 9.27/6.89 ((v181(constB45) <=> (~((~v182(constB45)) | (~v157(constB45))))) <=> (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45)))))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27828,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v182(constB45)) | (~v157(constB45)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45))))))),
% 9.27/6.89 inference(monotonicity,[status(thm)],[27827])).
% 9.27/6.89 tff(27829,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v182(constB45)) | (~v157(constB45)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45))))))),
% 9.27/6.89 inference(transitivity,[status(thm)],[27828, 27826])).
% 9.27/6.89 tff(27830,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v182(constB45)) | (~v157(constB45)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27831,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45)))))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27830, 27829])).
% 9.27/6.89 tff(27832,plain,
% 9.27/6.89 (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27831, 161])).
% 9.27/6.89 tff(27833,plain,
% 9.27/6.89 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB45)) <=> v183(constB45))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27834,plain,
% 9.27/6.89 ((~v182(constB45)) <=> v183(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27833, 193])).
% 9.27/6.89 tff(27835,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB45) <=> (v184(constB45) | v26(constB45)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27836,plain,
% 9.27/6.89 (v183(constB45) <=> (v184(constB45) | v26(constB45))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27835, 202])).
% 9.27/6.89 tff(27837,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27838,plain,
% 9.27/6.89 (v184(constB45) <=> (~((~v39(constB45)) | (~v9(constB45))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27837, 120])).
% 9.27/6.89 tff(27839,plain,
% 9.27/6.89 (((~![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)))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27840,plain,
% 9.27/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27841,plain,
% 9.27/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27840, 27839])).
% 9.27/6.89 tff(27842,plain,
% 9.27/6.89 (v13(constB46) <=> v9(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27841, 7520, 216])).
% 9.27/6.89 tff(27843,plain,
% 9.27/6.89 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB46) <=> v13(constB46))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27844,plain,
% 9.27/6.89 (v6(constB46) <=> v13(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27843, 230])).
% 9.27/6.89 tff(27845,plain,
% 9.27/6.89 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB46)) <=> v6(constB46))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27846,plain,
% 9.27/6.89 ((~v21(constB46)) <=> v6(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27845, 239])).
% 9.27/6.89 tff(27847,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB46) <=> (v20(constB46) | v21(constB46)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27848,plain,
% 9.27/6.89 (v19(constB46) <=> (v20(constB46) | v21(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27847, 248])).
% 9.27/6.89 tff(27849,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27850,plain,
% 9.27/6.89 (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27849, 260])).
% 9.27/6.89 tff(27851,plain,
% 9.27/6.89 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB46)) <=> v18(constB46))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27852,plain,
% 9.27/6.89 ((~v4(constB46)) <=> v18(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27851, 269])).
% 9.27/6.89 tff(27853,plain,
% 9.27/6.89 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB46)),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27854,plain,
% 9.27/6.89 (v4(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27853, 278])).
% 9.27/6.89 tff(27855,plain,
% 9.27/6.89 ((~((~v4(constB46)) <=> v18(constB46))) | (~v4(constB46)) | (~v18(constB46))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27856,plain,
% 9.27/6.89 (~v18(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27855, 27854, 27852])).
% 9.27/6.89 tff(27857,plain,
% 9.27/6.89 ((~(v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))) | v18(constB46) | ((~v19(constB46)) | (~v22(constB46)))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27858,plain,
% 9.27/6.89 ((~v19(constB46)) | (~v22(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27857, 27856, 27850])).
% 9.27/6.89 tff(27859,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB46) <=> (v1(constB46) | v6(constB46)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27860,plain,
% 9.27/6.89 (v22(constB46) <=> (v1(constB46) | v6(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27859, 291])).
% 9.27/6.89 tff(27861,plain,
% 9.27/6.89 ((v1(constB46) | v6(constB46)) | (~v1(constB46))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27862,plain,
% 9.27/6.89 (v1(constB46) | v6(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27861, 7550])).
% 9.27/6.89 tff(27863,plain,
% 9.27/6.89 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46) | (~(v1(constB46) | v6(constB46)))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27864,plain,
% 9.27/6.89 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27863, 27862])).
% 9.27/6.89 tff(27865,plain,
% 9.27/6.89 (v22(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27864, 27860])).
% 9.27/6.89 tff(27866,plain,
% 9.27/6.89 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46)) | (~v22(constB46))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27867,plain,
% 9.27/6.89 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27866, 27865])).
% 9.27/6.89 tff(27868,plain,
% 9.27/6.89 (~v19(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27867, 27858])).
% 9.27/6.89 tff(27869,plain,
% 9.27/6.89 ((~(v19(constB46) <=> (v20(constB46) | v21(constB46)))) | v19(constB46) | (~(v20(constB46) | v21(constB46)))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27870,plain,
% 9.27/6.89 (~(v20(constB46) | v21(constB46))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27869, 27868, 27848])).
% 9.27/6.89 tff(27871,plain,
% 9.27/6.89 ((v20(constB46) | v21(constB46)) | (~v21(constB46))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27872,plain,
% 9.27/6.89 (~v21(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27871, 27870])).
% 9.27/6.89 tff(27873,plain,
% 9.27/6.89 ((~((~v21(constB46)) <=> v6(constB46))) | v21(constB46) | v6(constB46)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27874,plain,
% 9.27/6.89 (v6(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27873, 27872, 27846])).
% 9.27/6.89 tff(27875,plain,
% 9.27/6.89 ((~(v6(constB46) <=> v13(constB46))) | (~v6(constB46)) | v13(constB46)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27876,plain,
% 9.27/6.89 (v13(constB46)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27875, 27874, 27844])).
% 9.27/6.89 tff(27877,plain,
% 9.27/6.89 ((~(v13(constB46) <=> v9(constB45))) | (~v13(constB46)) | v9(constB45)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27878,plain,
% 9.27/6.89 (v9(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27877, 27876, 27842])).
% 9.27/6.89 tff(27879,plain,
% 9.27/6.89 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB45)) <=> v1(constB45))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27880,plain,
% 9.27/6.89 ((~v39(constB45)) <=> v1(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27879, 129])).
% 9.27/6.89 tff(27881,plain,
% 9.27/6.89 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45) | v1(constB45)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27882,plain,
% 9.27/6.89 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27881, 7542])).
% 9.27/6.89 tff(27883,plain,
% 9.27/6.89 (v39(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27882, 27880])).
% 9.27/6.89 tff(27884,plain,
% 9.27/6.89 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v39(constB45)) | (~v9(constB45))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27885,plain,
% 9.27/6.89 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v9(constB45))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27884, 27883])).
% 9.27/6.89 tff(27886,plain,
% 9.27/6.89 (~((~v39(constB45)) | (~v9(constB45)))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27885, 27878])).
% 9.27/6.89 tff(27887,plain,
% 9.27/6.89 ((~(v184(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))) | v184(constB45) | ((~v39(constB45)) | (~v9(constB45)))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27888,plain,
% 9.27/6.89 (v184(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27887, 27886, 27838])).
% 9.27/6.89 tff(27889,plain,
% 9.27/6.89 ((v184(constB45) | v26(constB45)) | (~v184(constB45))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27890,plain,
% 9.27/6.89 (v184(constB45) | v26(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27889, 27888])).
% 9.27/6.89 tff(27891,plain,
% 9.27/6.89 ((~(v183(constB45) <=> (v184(constB45) | v26(constB45)))) | v183(constB45) | (~(v184(constB45) | v26(constB45)))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27892,plain,
% 9.27/6.89 (v183(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27891, 27890, 27836])).
% 9.27/6.89 tff(27893,plain,
% 9.27/6.89 ((~((~v182(constB45)) <=> v183(constB45))) | (~v182(constB45)) | (~v183(constB45))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27894,plain,
% 9.27/6.89 (~v182(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27893, 27892, 27834])).
% 9.27/6.89 tff(27895,plain,
% 9.27/6.89 (((~v157(constB45)) | (~v182(constB45))) | v182(constB45)),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27896,plain,
% 9.27/6.89 ((~v157(constB45)) | (~v182(constB45))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27895, 27894])).
% 9.27/6.89 tff(27897,plain,
% 9.27/6.89 ((~(v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45)))))) | (~v181(constB45)) | (~((~v157(constB45)) | (~v182(constB45))))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27898,plain,
% 9.27/6.89 (~v181(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27897, 27896, 27832])).
% 9.27/6.89 tff(27899,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB45) <=> (~((~v186(constB45)) | (~v187(constB45)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27900,plain,
% 9.27/6.89 (v185(constB45) <=> (~((~v186(constB45)) | (~v187(constB45))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27899, 96])).
% 9.27/6.89 tff(27901,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB45) <=> (~((~v184(constB45)) | (~v159(constB45)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27902,plain,
% 9.27/6.89 (v187(constB45) <=> (~((~v184(constB45)) | (~v159(constB45))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27901, 108])).
% 9.27/6.89 tff(27903,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB45) <=> v161(constB45))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27904,plain,
% 9.27/6.89 (v159(constB45) <=> v161(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27903, 345])).
% 9.27/6.89 tff(27905,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27906,plain,
% 9.27/6.89 (v139(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2)))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27905, 360])).
% 9.27/6.89 tff(27907,plain,
% 9.27/6.89 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2)))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27908,plain,
% 9.27/6.89 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27909,plain,
% 9.27/6.89 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27908, 27907])).
% 9.27/6.89 tff(27910,plain,
% 9.27/6.89 (v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27909, 648, 372])).
% 9.27/6.89 tff(27911,plain,
% 9.27/6.89 ((~(v88(constB45, bitIndex2) <=> v90(constB45, bitIndex2))) | v88(constB45, bitIndex2) | (~v90(constB45, bitIndex2))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27912,plain,
% 9.27/6.89 (v88(constB45, bitIndex2)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27911, 13400, 27910])).
% 9.27/6.89 tff(27913,plain,
% 9.27/6.89 ((v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex2))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27914,plain,
% 9.27/6.89 (v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27913, 27912])).
% 9.27/6.89 tff(27915,plain,
% 9.27/6.89 ((~(v139(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2))))) | (~v139(constB45)) | (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2)))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27916,plain,
% 9.27/6.89 (~v139(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27915, 27914, 27906])).
% 9.27/6.89 tff(27917,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0))))))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27918,plain,
% 9.27/6.89 ((v140(constB45) <=> (~(v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0))))) <=> (v140(constB45) <=> (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0)))))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27919,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0))))))),
% 9.27/6.89 inference(monotonicity,[status(thm)],[27918])).
% 9.27/6.89 tff(27920,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0))))))),
% 9.27/6.89 inference(transitivity,[status(thm)],[27919, 27917])).
% 9.27/6.89 tff(27921,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0)))))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27922,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0)))))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27921, 27920])).
% 9.27/6.89 tff(27923,plain,
% 9.27/6.89 (v140(constB45) <=> (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0))))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27922, 25795])).
% 9.27/6.89 tff(27924,plain,
% 9.27/6.89 ((v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0))) | (~v88(constB45, bitIndex2))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27925,plain,
% 9.27/6.89 (v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27924, 27912])).
% 9.27/6.89 tff(27926,plain,
% 9.27/6.89 ((~(v140(constB45) <=> (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0)))))) | (~v140(constB45)) | (~(v88(constB45, bitIndex2) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex0))))),
% 9.27/6.89 inference(tautology,[status(thm)],[])).
% 9.27/6.89 tff(27927,plain,
% 9.27/6.89 (~v140(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27926, 27925, 27923])).
% 9.27/6.89 tff(27928,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB45) | v140(constB45) | (~v168(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB45) | v140(constB45) | (~v168(constB45)))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27929,plain,
% 9.27/6.89 ((v140(constB45) | v139(constB45) | (~v168(constB45))) <=> (v139(constB45) | v140(constB45) | (~v168(constB45)))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27930,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v168(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB45) | v140(constB45) | (~v168(constB45))))),
% 9.27/6.89 inference(monotonicity,[status(thm)],[27929])).
% 9.27/6.89 tff(27931,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v168(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB45) | v140(constB45) | (~v168(constB45)))),
% 9.27/6.89 inference(transitivity,[status(thm)],[27930, 27928])).
% 9.27/6.89 tff(27932,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v168(constB45)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27933,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB45) | v140(constB45) | (~v168(constB45))),
% 9.27/6.89 inference(modus_ponens,[status(thm)],[27932, 27931])).
% 9.27/6.89 tff(27934,plain,
% 9.27/6.89 (v139(constB45) | v140(constB45) | (~v168(constB45))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27933, 25819])).
% 9.27/6.89 tff(27935,plain,
% 9.27/6.89 (~v168(constB45)),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27934, 27927, 27916])).
% 9.27/6.89 tff(27936,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB45) <=> (v145(constB45) | v165(constB45)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27937,plain,
% 9.27/6.89 (v164(constB45) <=> (v145(constB45) | v165(constB45))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27936, 25834])).
% 9.27/6.89 tff(27938,plain,
% 9.27/6.89 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB45) <=> (v146(constB45) | v147(constB45)))),
% 9.27/6.89 inference(quant_inst,[status(thm)],[])).
% 9.27/6.89 tff(27939,plain,
% 9.27/6.89 (v145(constB45) <=> (v146(constB45) | v147(constB45))),
% 9.27/6.89 inference(unit_resolution,[status(thm)],[27938, 27691])).
% 9.27/6.89 tff(27940,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0)))))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27941,plain,
% 9.27/6.89 ((v146(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2))))) <=> (v146(constB45) <=> (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))))),
% 9.27/6.89 inference(rewrite,[status(thm)],[])).
% 9.27/6.89 tff(27942,plain,
% 9.27/6.89 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0)))))),
% 9.27/6.90 inference(monotonicity,[status(thm)],[27941])).
% 9.27/6.90 tff(27943,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0)))))),
% 9.27/6.90 inference(transitivity,[status(thm)],[27942, 27940])).
% 9.27/6.90 tff(27944,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(27945,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 9.27/6.90 tff(27946,plain,
% 9.27/6.90 (v146(constB45) <=> (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0)))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27945, 27706])).
% 9.27/6.90 tff(27947,plain,
% 9.27/6.90 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0)))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(27948,plain,
% 9.27/6.90 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(27949,plain,
% 9.27/6.90 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 9.27/6.90 tff(27950,plain,
% 9.27/6.90 (v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27949, 9653, 372])).
% 9.27/6.90 tff(27951,plain,
% 9.27/6.90 ((~(v88(constB45, bitIndex0) <=> v90(constB45, bitIndex0))) | (~v88(constB45, bitIndex0)) | v90(constB45, bitIndex0)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27952,plain,
% 9.27/6.90 (~v88(constB45, bitIndex0)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27951, 13431, 27950])).
% 9.27/6.90 tff(27953,plain,
% 9.27/6.90 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1)))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(27954,plain,
% 9.27/6.90 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(27955,plain,
% 9.27/6.90 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[27954, 27953])).
% 9.27/6.90 tff(27956,plain,
% 9.27/6.90 (v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27955, 375, 372])).
% 9.27/6.90 tff(27957,plain,
% 9.27/6.90 ((~(v88(constB45, bitIndex1) <=> v90(constB45, bitIndex1))) | (~v88(constB45, bitIndex1)) | v90(constB45, bitIndex1)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27958,plain,
% 9.27/6.90 (~v88(constB45, bitIndex1)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27957, 13462, 27956])).
% 9.27/6.90 tff(27959,plain,
% 9.27/6.90 ((~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27960,plain,
% 9.27/6.90 (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27959, 27958, 27952, 27912])).
% 9.27/6.90 tff(27961,plain,
% 9.27/6.90 ((~(v146(constB45) <=> (~((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))))) | v146(constB45) | ((~v88(constB45, bitIndex2)) | v88(constB45, bitIndex1) | v88(constB45, bitIndex0))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27962,plain,
% 9.27/6.90 (v146(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27961, 27960, 27946])).
% 9.27/6.90 tff(27963,plain,
% 9.27/6.90 ((v146(constB45) | v147(constB45)) | (~v146(constB45))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27964,plain,
% 9.27/6.90 (v146(constB45) | v147(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27963, 27962])).
% 9.27/6.90 tff(27965,plain,
% 9.27/6.90 ((~(v145(constB45) <=> (v146(constB45) | v147(constB45)))) | v145(constB45) | (~(v146(constB45) | v147(constB45)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27966,plain,
% 9.27/6.90 (v145(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27965, 27964, 27939])).
% 9.27/6.90 tff(27967,plain,
% 9.27/6.90 ((v145(constB45) | v165(constB45)) | (~v145(constB45))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27968,plain,
% 9.27/6.90 (v145(constB45) | v165(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27967, 27966])).
% 9.27/6.90 tff(27969,plain,
% 9.27/6.90 ((~(v164(constB45) <=> (v145(constB45) | v165(constB45)))) | v164(constB45) | (~(v145(constB45) | v165(constB45)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27970,plain,
% 9.27/6.90 (v164(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27969, 27968, 27937])).
% 9.27/6.90 tff(27971,plain,
% 9.27/6.90 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB45)) | (v161(constB45) <=> v168(constB45)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB45)) | (v161(constB45) <=> v168(constB45)))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(27972,plain,
% 9.27/6.90 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB45)) | (v161(constB45) <=> v168(constB45)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(27973,plain,
% 9.27/6.90 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB45)) | (v161(constB45) <=> v168(constB45))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 9.27/6.90 tff(27974,plain,
% 9.27/6.90 ((~v164(constB45)) | (v161(constB45) <=> v168(constB45))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27973, 25977])).
% 9.27/6.90 tff(27975,plain,
% 9.27/6.90 (v161(constB45) <=> v168(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27974, 27970])).
% 9.27/6.90 tff(27976,plain,
% 9.27/6.90 ((~(v161(constB45) <=> v168(constB45))) | (~v161(constB45)) | v168(constB45)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27977,plain,
% 9.27/6.90 (~v161(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27976, 27975, 27935])).
% 9.27/6.90 tff(27978,plain,
% 9.27/6.90 ((~(v159(constB45) <=> v161(constB45))) | (~v159(constB45)) | v161(constB45)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27979,plain,
% 9.27/6.90 ((~(v159(constB45) <=> v161(constB45))) | (~v159(constB45))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27978, 27977])).
% 9.27/6.90 tff(27980,plain,
% 9.27/6.90 (~v159(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27979, 27904])).
% 9.27/6.90 tff(27981,plain,
% 9.27/6.90 (((~v184(constB45)) | (~v159(constB45))) | v159(constB45)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27982,plain,
% 9.27/6.90 ((~v184(constB45)) | (~v159(constB45))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27981, 27980])).
% 9.27/6.90 tff(27983,plain,
% 9.27/6.90 ((~(v187(constB45) <=> (~((~v184(constB45)) | (~v159(constB45)))))) | (~v187(constB45)) | (~((~v184(constB45)) | (~v159(constB45))))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27984,plain,
% 9.27/6.90 (~v187(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27983, 27982, 27902])).
% 9.27/6.90 tff(27985,plain,
% 9.27/6.90 (((~v186(constB45)) | (~v187(constB45))) | v187(constB45)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27986,plain,
% 9.27/6.90 ((~v186(constB45)) | (~v187(constB45))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27985, 27984])).
% 9.27/6.90 tff(27987,plain,
% 9.27/6.90 ((~(v185(constB45) <=> (~((~v186(constB45)) | (~v187(constB45)))))) | (~v185(constB45)) | (~((~v186(constB45)) | (~v187(constB45))))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27988,plain,
% 9.27/6.90 (~v185(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27987, 27986, 27900])).
% 9.27/6.90 tff(27989,plain,
% 9.27/6.90 ((~(v181(constB45) | v185(constB45))) | v181(constB45) | v185(constB45)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27990,plain,
% 9.27/6.90 (~(v181(constB45) | v185(constB45))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27989, 27988, 27898])).
% 9.27/6.90 tff(27991,plain,
% 9.27/6.90 ((~(v178(constB45) <=> (v181(constB45) | v185(constB45)))) | (~v178(constB45)) | (v181(constB45) | v185(constB45))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27992,plain,
% 9.27/6.90 (~v178(constB45)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27991, 27990, 27825])).
% 9.27/6.90 tff(27993,plain,
% 9.27/6.90 ((~(v180(constB46) <=> v178(constB45))) | (~v180(constB46)) | v178(constB45)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27994,plain,
% 9.27/6.90 (~v180(constB46)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27993, 27992, 27823])).
% 9.27/6.90 tff(27995,plain,
% 9.27/6.90 ((~(v157(constB46) <=> v180(constB46))) | (~v157(constB46)) | v180(constB46)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27996,plain,
% 9.27/6.90 (~v157(constB46)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27995, 27994, 27819])).
% 9.27/6.90 tff(27997,plain,
% 9.27/6.90 (((~v157(constB46)) | (~v182(constB46))) | v157(constB46)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(27998,plain,
% 9.27/6.90 ((~v157(constB46)) | (~v182(constB46))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27997, 27996])).
% 9.27/6.90 tff(27999,plain,
% 9.27/6.90 ((~(v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46)))))) | (~v181(constB46)) | (~((~v157(constB46)) | (~v182(constB46))))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28000,plain,
% 9.27/6.90 (~v181(constB46)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[27999, 27998, 27817])).
% 9.27/6.90 tff(28001,plain,
% 9.27/6.90 ((~(v181(constB46) | v185(constB46))) | v181(constB46) | v185(constB46)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28002,plain,
% 9.27/6.90 (~(v181(constB46) | v185(constB46))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28001, 28000, 27810])).
% 9.27/6.90 tff(28003,plain,
% 9.27/6.90 ((~(v178(constB46) <=> (v181(constB46) | v185(constB46)))) | (~v178(constB46)) | (v181(constB46) | v185(constB46))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28004,plain,
% 9.27/6.90 (~v178(constB46)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28003, 28002, 27785])).
% 9.27/6.90 tff(28005,plain,
% 9.27/6.90 ((~(v180(constB47) <=> v178(constB46))) | (~v180(constB47)) | v178(constB46)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28006,plain,
% 9.27/6.90 (~v180(constB47)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28005, 28004, 27783])).
% 9.27/6.90 tff(28007,plain,
% 9.27/6.90 ($false),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28006, 27779])).
% 9.27/6.90 tff(28008,plain,(~(constB47 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.27/6.90 tff(28009,assumption,(constB123 = VarCurr!0), introduced(assumption)).
% 9.27/6.90 tff(28010,plain,
% 9.27/6.90 (v180(constB123) <=> v180(VarCurr!0)),
% 9.27/6.90 inference(monotonicity,[status(thm)],[28009])).
% 9.27/6.90 tff(28011,plain,
% 9.27/6.90 (v180(VarCurr!0) <=> v180(constB123)),
% 9.27/6.90 inference(symmetry,[status(thm)],[28010])).
% 9.27/6.90 tff(28012,plain,
% 9.27/6.90 (v180(constB123)),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[59, 28011])).
% 9.27/6.90 tff(28013,plain,
% 9.27/6.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122)))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28014,plain,
% 9.27/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28015,plain,
% 9.27/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[28014, 28013])).
% 9.27/6.90 tff(28016,plain,
% 9.27/6.90 (v180(constB123) <=> v178(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28015, 4000, 70])).
% 9.27/6.90 tff(28017,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB122) <=> (v181(constB122) | v185(constB122)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28018,plain,
% 9.27/6.90 (v178(constB122) <=> (v181(constB122) | v185(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28017, 84])).
% 9.27/6.90 tff(28019,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28020,plain,
% 9.27/6.90 (v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28019, 96])).
% 9.27/6.90 tff(28021,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB122) <=> (~((~v184(constB122)) | (~v159(constB122)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28022,plain,
% 9.27/6.90 (v187(constB122) <=> (~((~v184(constB122)) | (~v159(constB122))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28021, 108])).
% 9.27/6.90 tff(28023,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28024,plain,
% 9.27/6.90 (v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28023, 120])).
% 9.27/6.90 tff(28025,plain,
% 9.27/6.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB122)) <=> v1(constB122))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28026,plain,
% 9.27/6.90 ((~v39(constB122)) <=> v1(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28025, 129])).
% 9.27/6.90 tff(28027,plain,
% 9.27/6.90 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122)) | (~v1(constB122))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28028,plain,
% 9.27/6.90 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28027, 4062])).
% 9.27/6.90 tff(28029,plain,
% 9.27/6.90 (~v39(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28028, 28026])).
% 9.27/6.90 tff(28030,plain,
% 9.27/6.90 (((~v39(constB122)) | (~v9(constB122))) | v39(constB122)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28031,plain,
% 9.27/6.90 ((~v39(constB122)) | (~v9(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28030, 28029])).
% 9.27/6.90 tff(28032,plain,
% 9.27/6.90 ((~(v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v184(constB122)) | (~((~v39(constB122)) | (~v9(constB122))))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28033,plain,
% 9.27/6.90 ((~(v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v184(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28032, 28031])).
% 9.27/6.90 tff(28034,plain,
% 9.27/6.90 (~v184(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28033, 28024])).
% 9.27/6.90 tff(28035,plain,
% 9.27/6.90 (((~v184(constB122)) | (~v159(constB122))) | v184(constB122)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28036,plain,
% 9.27/6.90 ((~v184(constB122)) | (~v159(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28035, 28034])).
% 9.27/6.90 tff(28037,plain,
% 9.27/6.90 ((~(v187(constB122) <=> (~((~v184(constB122)) | (~v159(constB122)))))) | (~v187(constB122)) | (~((~v184(constB122)) | (~v159(constB122))))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28038,plain,
% 9.27/6.90 ((~(v187(constB122) <=> (~((~v184(constB122)) | (~v159(constB122)))))) | (~v187(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28037, 28036])).
% 9.27/6.90 tff(28039,plain,
% 9.27/6.90 (~v187(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28038, 28022])).
% 9.27/6.90 tff(28040,plain,
% 9.27/6.90 (((~v186(constB122)) | (~v187(constB122))) | v187(constB122)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28041,plain,
% 9.27/6.90 ((~v186(constB122)) | (~v187(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28040, 28039])).
% 9.27/6.90 tff(28042,plain,
% 9.27/6.90 ((~(v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122)))))) | (~v185(constB122)) | (~((~v186(constB122)) | (~v187(constB122))))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28043,plain,
% 9.27/6.90 (~v185(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28042, 28041, 28020])).
% 9.27/6.90 tff(28044,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122))))))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28045,plain,
% 9.27/6.90 ((v181(constB122) <=> (~((~v182(constB122)) | (~v157(constB122))))) <=> (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122)))))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28046,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122))))))),
% 9.27/6.90 inference(monotonicity,[status(thm)],[28045])).
% 9.27/6.90 tff(28047,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122))))))),
% 9.27/6.90 inference(transitivity,[status(thm)],[28046, 28044])).
% 9.27/6.90 tff(28048,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v157(constB122)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28049,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122)))))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[28048, 28047])).
% 9.27/6.90 tff(28050,plain,
% 9.27/6.90 (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28049, 161])).
% 9.27/6.90 tff(28051,plain,
% 9.27/6.90 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB122) <=> v180(constB122))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28052,plain,
% 9.27/6.90 (v157(constB122) <=> v180(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28051, 13])).
% 9.27/6.90 tff(28053,plain,
% 9.27/6.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121)))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28054,plain,
% 9.27/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28055,plain,
% 9.27/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[28054, 28053])).
% 9.27/6.90 tff(28056,plain,
% 9.27/6.90 (v180(constB122) <=> v178(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28055, 4032, 70])).
% 9.27/6.90 tff(28057,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB121) <=> (v181(constB121) | v185(constB121)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28058,plain,
% 9.27/6.90 (v178(constB121) <=> (v181(constB121) | v185(constB121))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28057, 84])).
% 9.27/6.90 tff(28059,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121))))))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28060,plain,
% 9.27/6.90 ((v181(constB121) <=> (~((~v182(constB121)) | (~v157(constB121))))) <=> (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121)))))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28061,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121))))))),
% 9.27/6.90 inference(monotonicity,[status(thm)],[28060])).
% 9.27/6.90 tff(28062,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121))))))),
% 9.27/6.90 inference(transitivity,[status(thm)],[28061, 28059])).
% 9.27/6.90 tff(28063,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v157(constB121)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28064,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121)))))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[28063, 28062])).
% 9.27/6.90 tff(28065,plain,
% 9.27/6.90 (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28064, 161])).
% 9.27/6.90 tff(28066,plain,
% 9.27/6.90 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB121)) <=> v183(constB121))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28067,plain,
% 9.27/6.90 ((~v182(constB121)) <=> v183(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28066, 193])).
% 9.27/6.90 tff(28068,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB121) <=> (v184(constB121) | v26(constB121)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28069,plain,
% 9.27/6.90 (v183(constB121) <=> (v184(constB121) | v26(constB121))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28068, 202])).
% 9.27/6.90 tff(28070,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28071,plain,
% 9.27/6.90 (v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28070, 120])).
% 9.27/6.90 tff(28072,plain,
% 9.27/6.90 (((~![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)))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28073,plain,
% 9.27/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28074,plain,
% 9.27/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[28073, 28072])).
% 9.27/6.90 tff(28075,plain,
% 9.27/6.90 (v13(constB122) <=> v9(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28074, 4032, 216])).
% 9.27/6.90 tff(28076,plain,
% 9.27/6.90 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB122) <=> v13(constB122))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28077,plain,
% 9.27/6.90 (v6(constB122) <=> v13(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28076, 230])).
% 9.27/6.90 tff(28078,plain,
% 9.27/6.90 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB122)) <=> v6(constB122))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28079,plain,
% 9.27/6.90 ((~v21(constB122)) <=> v6(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28078, 239])).
% 9.27/6.90 tff(28080,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB122) <=> (v20(constB122) | v21(constB122)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28081,plain,
% 9.27/6.90 (v19(constB122) <=> (v20(constB122) | v21(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28080, 248])).
% 9.27/6.90 tff(28082,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28083,plain,
% 9.27/6.90 (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28082, 260])).
% 9.27/6.90 tff(28084,plain,
% 9.27/6.90 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB122)) <=> v18(constB122))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28085,plain,
% 9.27/6.90 ((~v4(constB122)) <=> v18(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28084, 269])).
% 9.27/6.90 tff(28086,plain,
% 9.27/6.90 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB122)),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28087,plain,
% 9.27/6.90 (v4(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28086, 278])).
% 9.27/6.90 tff(28088,plain,
% 9.27/6.90 ((~((~v4(constB122)) <=> v18(constB122))) | (~v4(constB122)) | (~v18(constB122))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28089,plain,
% 9.27/6.90 (~v18(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28088, 28087, 28085])).
% 9.27/6.90 tff(28090,plain,
% 9.27/6.90 ((~(v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))) | v18(constB122) | ((~v19(constB122)) | (~v22(constB122)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28091,plain,
% 9.27/6.90 ((~v19(constB122)) | (~v22(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28090, 28089, 28083])).
% 9.27/6.90 tff(28092,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB122) <=> (v1(constB122) | v6(constB122)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28093,plain,
% 9.27/6.90 (v22(constB122) <=> (v1(constB122) | v6(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28092, 291])).
% 9.27/6.90 tff(28094,plain,
% 9.27/6.90 ((v1(constB122) | v6(constB122)) | (~v1(constB122))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28095,plain,
% 9.27/6.90 (v1(constB122) | v6(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28094, 4062])).
% 9.27/6.90 tff(28096,plain,
% 9.27/6.90 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122) | (~(v1(constB122) | v6(constB122)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28097,plain,
% 9.27/6.90 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28096, 28095])).
% 9.27/6.90 tff(28098,plain,
% 9.27/6.90 (v22(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28097, 28093])).
% 9.27/6.90 tff(28099,plain,
% 9.27/6.90 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122)) | (~v22(constB122))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28100,plain,
% 9.27/6.90 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28099, 28098])).
% 9.27/6.90 tff(28101,plain,
% 9.27/6.90 (~v19(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28100, 28091])).
% 9.27/6.90 tff(28102,plain,
% 9.27/6.90 ((~(v19(constB122) <=> (v20(constB122) | v21(constB122)))) | v19(constB122) | (~(v20(constB122) | v21(constB122)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28103,plain,
% 9.27/6.90 (~(v20(constB122) | v21(constB122))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28102, 28101, 28081])).
% 9.27/6.90 tff(28104,plain,
% 9.27/6.90 ((v20(constB122) | v21(constB122)) | (~v21(constB122))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28105,plain,
% 9.27/6.90 (~v21(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28104, 28103])).
% 9.27/6.90 tff(28106,plain,
% 9.27/6.90 ((~((~v21(constB122)) <=> v6(constB122))) | v21(constB122) | v6(constB122)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28107,plain,
% 9.27/6.90 (v6(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28106, 28105, 28079])).
% 9.27/6.90 tff(28108,plain,
% 9.27/6.90 ((~(v6(constB122) <=> v13(constB122))) | (~v6(constB122)) | v13(constB122)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28109,plain,
% 9.27/6.90 (v13(constB122)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28108, 28107, 28077])).
% 9.27/6.90 tff(28110,plain,
% 9.27/6.90 ((~(v13(constB122) <=> v9(constB121))) | (~v13(constB122)) | v9(constB121)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28111,plain,
% 9.27/6.90 (v9(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28110, 28109, 28075])).
% 9.27/6.90 tff(28112,plain,
% 9.27/6.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB121)) <=> v1(constB121))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28113,plain,
% 9.27/6.90 ((~v39(constB121)) <=> v1(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28112, 129])).
% 9.27/6.90 tff(28114,plain,
% 9.27/6.90 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121) | v1(constB121)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28115,plain,
% 9.27/6.90 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28114, 4054])).
% 9.27/6.90 tff(28116,plain,
% 9.27/6.90 (v39(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28115, 28113])).
% 9.27/6.90 tff(28117,plain,
% 9.27/6.90 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v39(constB121)) | (~v9(constB121))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28118,plain,
% 9.27/6.90 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v9(constB121))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28117, 28116])).
% 9.27/6.90 tff(28119,plain,
% 9.27/6.90 (~((~v39(constB121)) | (~v9(constB121)))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28118, 28111])).
% 9.27/6.90 tff(28120,plain,
% 9.27/6.90 ((~(v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))) | v184(constB121) | ((~v39(constB121)) | (~v9(constB121)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28121,plain,
% 9.27/6.90 (v184(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28120, 28119, 28071])).
% 9.27/6.90 tff(28122,plain,
% 9.27/6.90 ((v184(constB121) | v26(constB121)) | (~v184(constB121))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28123,plain,
% 9.27/6.90 (v184(constB121) | v26(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28122, 28121])).
% 9.27/6.90 tff(28124,plain,
% 9.27/6.90 ((~(v183(constB121) <=> (v184(constB121) | v26(constB121)))) | v183(constB121) | (~(v184(constB121) | v26(constB121)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28125,plain,
% 9.27/6.90 (v183(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28124, 28123, 28069])).
% 9.27/6.90 tff(28126,plain,
% 9.27/6.90 ((~((~v182(constB121)) <=> v183(constB121))) | (~v182(constB121)) | (~v183(constB121))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28127,plain,
% 9.27/6.90 (~v182(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28126, 28125, 28067])).
% 9.27/6.90 tff(28128,plain,
% 9.27/6.90 (((~v157(constB121)) | (~v182(constB121))) | v182(constB121)),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28129,plain,
% 9.27/6.90 ((~v157(constB121)) | (~v182(constB121))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28128, 28127])).
% 9.27/6.90 tff(28130,plain,
% 9.27/6.90 ((~(v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121)))))) | (~v181(constB121)) | (~((~v157(constB121)) | (~v182(constB121))))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28131,plain,
% 9.27/6.90 (~v181(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28130, 28129, 28065])).
% 9.27/6.90 tff(28132,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28133,plain,
% 9.27/6.90 (v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28132, 96])).
% 9.27/6.90 tff(28134,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB121) <=> (~((~v184(constB121)) | (~v159(constB121)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28135,plain,
% 9.27/6.90 (v187(constB121) <=> (~((~v184(constB121)) | (~v159(constB121))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28134, 108])).
% 9.27/6.90 tff(28136,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB121) <=> v161(constB121))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28137,plain,
% 9.27/6.90 (v159(constB121) <=> v161(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28136, 345])).
% 9.27/6.90 tff(28138,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28139,plain,
% 9.27/6.90 (v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28138, 360])).
% 9.27/6.90 tff(28140,plain,
% 9.27/6.90 ((v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex2))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28141,plain,
% 9.27/6.90 (v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28140, 26531])).
% 9.27/6.90 tff(28142,plain,
% 9.27/6.90 ((~(v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2))))) | (~v139(constB121)) | (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28143,plain,
% 9.27/6.90 (~v139(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28142, 28141, 28139])).
% 9.27/6.90 tff(28144,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))))))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28145,plain,
% 9.27/6.90 ((v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))))) <=> (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0)))))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28146,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))))))),
% 9.27/6.90 inference(monotonicity,[status(thm)],[28145])).
% 9.27/6.90 tff(28147,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))))))),
% 9.27/6.90 inference(transitivity,[status(thm)],[28146, 28144])).
% 9.27/6.90 tff(28148,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28149,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0)))))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[28148, 28147])).
% 9.27/6.90 tff(28150,plain,
% 9.27/6.90 (v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28149, 25795])).
% 9.27/6.90 tff(28151,plain,
% 9.27/6.90 ((v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))) | (~v88(constB121, bitIndex2))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28152,plain,
% 9.27/6.90 (v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28151, 26531])).
% 9.27/6.90 tff(28153,plain,
% 9.27/6.90 ((~(v140(constB121) <=> (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0)))))) | (~v140(constB121)) | (~(v88(constB121, bitIndex2) | v88(constB121, bitIndex1) | (~v88(constB121, bitIndex0))))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28154,plain,
% 9.27/6.90 (~v140(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28153, 28152, 28150])).
% 9.27/6.90 tff(28155,plain,
% 9.27/6.90 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v168(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB121) | v139(constB121) | (~v168(constB121)))),
% 9.27/6.90 inference(rewrite,[status(thm)],[])).
% 9.27/6.90 tff(28156,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v168(constB121)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28157,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB121) | v139(constB121) | (~v168(constB121))),
% 9.27/6.90 inference(modus_ponens,[status(thm)],[28156, 28155])).
% 9.27/6.90 tff(28158,plain,
% 9.27/6.90 (v140(constB121) | v139(constB121) | (~v168(constB121))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28157, 25819])).
% 9.27/6.90 tff(28159,plain,
% 9.27/6.90 (~v168(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28158, 28154, 28143])).
% 9.27/6.90 tff(28160,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB121) <=> (v145(constB121) | v165(constB121)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28161,plain,
% 9.27/6.90 (v164(constB121) <=> (v145(constB121) | v165(constB121))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28160, 25834])).
% 9.27/6.90 tff(28162,plain,
% 9.27/6.90 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB121) <=> (v142(constB121) | v166(constB121)))),
% 9.27/6.90 inference(quant_inst,[status(thm)],[])).
% 9.27/6.90 tff(28163,plain,
% 9.27/6.90 (v165(constB121) <=> (v142(constB121) | v166(constB121))),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28162, 25846])).
% 9.27/6.90 tff(28164,plain,
% 9.27/6.90 ((v142(constB121) | v166(constB121)) | (~v142(constB121))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28165,plain,
% 9.27/6.90 (v142(constB121) | v166(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28164, 26551])).
% 9.27/6.90 tff(28166,plain,
% 9.27/6.90 ((~(v165(constB121) <=> (v142(constB121) | v166(constB121)))) | v165(constB121) | (~(v142(constB121) | v166(constB121)))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28167,plain,
% 9.27/6.90 (v165(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28166, 28165, 28163])).
% 9.27/6.90 tff(28168,plain,
% 9.27/6.90 ((v145(constB121) | v165(constB121)) | (~v165(constB121))),
% 9.27/6.90 inference(tautology,[status(thm)],[])).
% 9.27/6.90 tff(28169,plain,
% 9.27/6.90 (v145(constB121) | v165(constB121)),
% 9.27/6.90 inference(unit_resolution,[status(thm)],[28168, 28167])).
% 9.27/6.91 tff(28170,plain,
% 9.27/6.91 ((~(v164(constB121) <=> (v145(constB121) | v165(constB121)))) | v164(constB121) | (~(v145(constB121) | v165(constB121)))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28171,plain,
% 9.27/6.91 (v164(constB121)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28170, 28169, 28161])).
% 9.27/6.91 tff(28172,plain,
% 9.27/6.91 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB121)) | (v161(constB121) <=> v168(constB121)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB121)) | (v161(constB121) <=> v168(constB121)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28173,plain,
% 9.27/6.91 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB121)) | (v161(constB121) <=> v168(constB121)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28174,plain,
% 9.27/6.91 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB121)) | (v161(constB121) <=> v168(constB121))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28173, 28172])).
% 9.27/6.91 tff(28175,plain,
% 9.27/6.91 ((~v164(constB121)) | (v161(constB121) <=> v168(constB121))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28174, 25977])).
% 9.27/6.91 tff(28176,plain,
% 9.27/6.91 (v161(constB121) <=> v168(constB121)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28175, 28171])).
% 9.27/6.91 tff(28177,plain,
% 9.27/6.91 ((~(v161(constB121) <=> v168(constB121))) | (~v161(constB121)) | v168(constB121)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28178,plain,
% 9.27/6.91 (~v161(constB121)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28177, 28176, 28159])).
% 9.27/6.91 tff(28179,plain,
% 9.27/6.91 ((~(v159(constB121) <=> v161(constB121))) | (~v159(constB121)) | v161(constB121)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28180,plain,
% 9.27/6.91 ((~(v159(constB121) <=> v161(constB121))) | (~v159(constB121))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28179, 28178])).
% 9.27/6.91 tff(28181,plain,
% 9.27/6.91 (~v159(constB121)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28180, 28137])).
% 9.27/6.91 tff(28182,plain,
% 9.27/6.91 (((~v184(constB121)) | (~v159(constB121))) | v159(constB121)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28183,plain,
% 9.27/6.91 ((~v184(constB121)) | (~v159(constB121))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28182, 28181])).
% 9.27/6.91 tff(28184,plain,
% 9.27/6.91 ((~(v187(constB121) <=> (~((~v184(constB121)) | (~v159(constB121)))))) | (~v187(constB121)) | (~((~v184(constB121)) | (~v159(constB121))))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28185,plain,
% 9.27/6.91 (~v187(constB121)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28184, 28183, 28135])).
% 9.27/6.91 tff(28186,plain,
% 9.27/6.91 (((~v186(constB121)) | (~v187(constB121))) | v187(constB121)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28187,plain,
% 9.27/6.91 ((~v186(constB121)) | (~v187(constB121))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28186, 28185])).
% 9.27/6.91 tff(28188,plain,
% 9.27/6.91 ((~(v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121)))))) | (~v185(constB121)) | (~((~v186(constB121)) | (~v187(constB121))))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28189,plain,
% 9.27/6.91 (~v185(constB121)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28188, 28187, 28133])).
% 9.27/6.91 tff(28190,plain,
% 9.27/6.91 ((~(v181(constB121) | v185(constB121))) | v181(constB121) | v185(constB121)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28191,plain,
% 9.27/6.91 (~(v181(constB121) | v185(constB121))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28190, 28189, 28131])).
% 9.27/6.91 tff(28192,plain,
% 9.27/6.91 ((~(v178(constB121) <=> (v181(constB121) | v185(constB121)))) | (~v178(constB121)) | (v181(constB121) | v185(constB121))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28193,plain,
% 9.27/6.91 (~v178(constB121)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28192, 28191, 28058])).
% 9.27/6.91 tff(28194,plain,
% 9.27/6.91 ((~(v180(constB122) <=> v178(constB121))) | (~v180(constB122)) | v178(constB121)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28195,plain,
% 9.27/6.91 (~v180(constB122)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28194, 28193, 28056])).
% 9.27/6.91 tff(28196,plain,
% 9.27/6.91 ((~(v157(constB122) <=> v180(constB122))) | (~v157(constB122)) | v180(constB122)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28197,plain,
% 9.27/6.91 (~v157(constB122)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28196, 28195, 28052])).
% 9.27/6.91 tff(28198,plain,
% 9.27/6.91 (((~v157(constB122)) | (~v182(constB122))) | v157(constB122)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28199,plain,
% 9.27/6.91 ((~v157(constB122)) | (~v182(constB122))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28198, 28197])).
% 9.27/6.91 tff(28200,plain,
% 9.27/6.91 ((~(v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122)))))) | (~v181(constB122)) | (~((~v157(constB122)) | (~v182(constB122))))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28201,plain,
% 9.27/6.91 (~v181(constB122)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28200, 28199, 28050])).
% 9.27/6.91 tff(28202,plain,
% 9.27/6.91 ((~(v181(constB122) | v185(constB122))) | v181(constB122) | v185(constB122)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28203,plain,
% 9.27/6.91 (~(v181(constB122) | v185(constB122))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28202, 28201, 28043])).
% 9.27/6.91 tff(28204,plain,
% 9.27/6.91 ((~(v178(constB122) <=> (v181(constB122) | v185(constB122)))) | (~v178(constB122)) | (v181(constB122) | v185(constB122))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28205,plain,
% 9.27/6.91 (~v178(constB122)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28204, 28203, 28018])).
% 9.27/6.91 tff(28206,plain,
% 9.27/6.91 ((~(v180(constB123) <=> v178(constB122))) | (~v180(constB123)) | v178(constB122)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28207,plain,
% 9.27/6.91 (~v180(constB123)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28206, 28205, 28016])).
% 9.27/6.91 tff(28208,plain,
% 9.27/6.91 ($false),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28207, 28012])).
% 9.27/6.91 tff(28209,plain,(~(constB123 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.27/6.91 tff(28210,assumption,(constB141 = VarCurr!0), introduced(assumption)).
% 9.27/6.91 tff(28211,plain,
% 9.27/6.91 (v180(constB141) <=> v180(VarCurr!0)),
% 9.27/6.91 inference(monotonicity,[status(thm)],[28210])).
% 9.27/6.91 tff(28212,plain,
% 9.27/6.91 (v180(VarCurr!0) <=> v180(constB141)),
% 9.27/6.91 inference(symmetry,[status(thm)],[28211])).
% 9.27/6.91 tff(28213,plain,
% 9.27/6.91 (v180(constB141)),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[59, 28212])).
% 9.27/6.91 tff(28214,plain,
% 9.27/6.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> v178(constB140)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB140, constB141)) | (v180(constB141) <=> v178(constB140)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28215,plain,
% 9.27/6.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> v178(constB140)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28216,plain,
% 9.27/6.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB140, constB141)) | (v180(constB141) <=> v178(constB140))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28215, 28214])).
% 9.27/6.91 tff(28217,plain,
% 9.27/6.91 (v180(constB141) <=> v178(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28216, 3163, 70])).
% 9.27/6.91 tff(28218,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB140) <=> (v181(constB140) | v185(constB140)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28219,plain,
% 9.27/6.91 (v178(constB140) <=> (v181(constB140) | v185(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28218, 84])).
% 9.27/6.91 tff(28220,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB140) <=> (~((~v186(constB140)) | (~v187(constB140)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28221,plain,
% 9.27/6.91 (v185(constB140) <=> (~((~v186(constB140)) | (~v187(constB140))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28220, 96])).
% 9.27/6.91 tff(28222,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB140) <=> (~((~v184(constB140)) | (~v159(constB140)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28223,plain,
% 9.27/6.91 (v187(constB140) <=> (~((~v184(constB140)) | (~v159(constB140))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28222, 108])).
% 9.27/6.91 tff(28224,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28225,plain,
% 9.27/6.91 (v184(constB140) <=> (~((~v39(constB140)) | (~v9(constB140))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28224, 120])).
% 9.27/6.91 tff(28226,plain,
% 9.27/6.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB140)) <=> v1(constB140))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28227,plain,
% 9.27/6.91 ((~v39(constB140)) <=> v1(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28226, 129])).
% 9.27/6.91 tff(28228,plain,
% 9.27/6.91 ((~((~v39(constB140)) <=> v1(constB140))) | (~v39(constB140)) | (~v1(constB140))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28229,plain,
% 9.27/6.91 ((~((~v39(constB140)) <=> v1(constB140))) | (~v39(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28228, 3225])).
% 9.27/6.91 tff(28230,plain,
% 9.27/6.91 (~v39(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28229, 28227])).
% 9.27/6.91 tff(28231,plain,
% 9.27/6.91 (((~v39(constB140)) | (~v9(constB140))) | v39(constB140)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28232,plain,
% 9.27/6.91 ((~v39(constB140)) | (~v9(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28231, 28230])).
% 9.27/6.91 tff(28233,plain,
% 9.27/6.91 ((~(v184(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))) | (~v184(constB140)) | (~((~v39(constB140)) | (~v9(constB140))))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28234,plain,
% 9.27/6.91 ((~(v184(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))) | (~v184(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28233, 28232])).
% 9.27/6.91 tff(28235,plain,
% 9.27/6.91 (~v184(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28234, 28225])).
% 9.27/6.91 tff(28236,plain,
% 9.27/6.91 (((~v184(constB140)) | (~v159(constB140))) | v184(constB140)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28237,plain,
% 9.27/6.91 ((~v184(constB140)) | (~v159(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28236, 28235])).
% 9.27/6.91 tff(28238,plain,
% 9.27/6.91 ((~(v187(constB140) <=> (~((~v184(constB140)) | (~v159(constB140)))))) | (~v187(constB140)) | (~((~v184(constB140)) | (~v159(constB140))))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28239,plain,
% 9.27/6.91 ((~(v187(constB140) <=> (~((~v184(constB140)) | (~v159(constB140)))))) | (~v187(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28238, 28237])).
% 9.27/6.91 tff(28240,plain,
% 9.27/6.91 (~v187(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28239, 28223])).
% 9.27/6.91 tff(28241,plain,
% 9.27/6.91 (((~v186(constB140)) | (~v187(constB140))) | v187(constB140)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28242,plain,
% 9.27/6.91 ((~v186(constB140)) | (~v187(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28241, 28240])).
% 9.27/6.91 tff(28243,plain,
% 9.27/6.91 ((~(v185(constB140) <=> (~((~v186(constB140)) | (~v187(constB140)))))) | (~v185(constB140)) | (~((~v186(constB140)) | (~v187(constB140))))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28244,plain,
% 9.27/6.91 (~v185(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28243, 28242, 28221])).
% 9.27/6.91 tff(28245,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140))))))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28246,plain,
% 9.27/6.91 ((v181(constB140) <=> (~((~v182(constB140)) | (~v157(constB140))))) <=> (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140)))))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28247,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v182(constB140)) | (~v157(constB140)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140))))))),
% 9.27/6.91 inference(monotonicity,[status(thm)],[28246])).
% 9.27/6.91 tff(28248,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v182(constB140)) | (~v157(constB140)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140))))))),
% 9.27/6.91 inference(transitivity,[status(thm)],[28247, 28245])).
% 9.27/6.91 tff(28249,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v182(constB140)) | (~v157(constB140)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28250,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140)))))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28249, 28248])).
% 9.27/6.91 tff(28251,plain,
% 9.27/6.91 (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28250, 161])).
% 9.27/6.91 tff(28252,plain,
% 9.27/6.91 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB140) <=> v180(constB140))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28253,plain,
% 9.27/6.91 (v157(constB140) <=> v180(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28252, 13])).
% 9.27/6.91 tff(28254,plain,
% 9.27/6.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> v178(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB139, constB140)) | (v180(constB140) <=> v178(constB139)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28255,plain,
% 9.27/6.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> v178(constB139)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28256,plain,
% 9.27/6.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB139, constB140)) | (v180(constB140) <=> v178(constB139))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28255, 28254])).
% 9.27/6.91 tff(28257,plain,
% 9.27/6.91 (v180(constB140) <=> v178(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28256, 3195, 70])).
% 9.27/6.91 tff(28258,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB139) <=> (v181(constB139) | v185(constB139)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28259,plain,
% 9.27/6.91 (v178(constB139) <=> (v181(constB139) | v185(constB139))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28258, 84])).
% 9.27/6.91 tff(28260,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139))))))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28261,plain,
% 9.27/6.91 ((v181(constB139) <=> (~((~v182(constB139)) | (~v157(constB139))))) <=> (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139)))))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28262,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v182(constB139)) | (~v157(constB139)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139))))))),
% 9.27/6.91 inference(monotonicity,[status(thm)],[28261])).
% 9.27/6.91 tff(28263,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v182(constB139)) | (~v157(constB139)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139))))))),
% 9.27/6.91 inference(transitivity,[status(thm)],[28262, 28260])).
% 9.27/6.91 tff(28264,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v182(constB139)) | (~v157(constB139)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28265,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139)))))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28264, 28263])).
% 9.27/6.91 tff(28266,plain,
% 9.27/6.91 (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28265, 161])).
% 9.27/6.91 tff(28267,plain,
% 9.27/6.91 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB139)) <=> v183(constB139))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28268,plain,
% 9.27/6.91 ((~v182(constB139)) <=> v183(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28267, 193])).
% 9.27/6.91 tff(28269,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB139) <=> (v184(constB139) | v26(constB139)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28270,plain,
% 9.27/6.91 (v183(constB139) <=> (v184(constB139) | v26(constB139))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28269, 202])).
% 9.27/6.91 tff(28271,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB139) <=> (~((~v39(constB139)) | (~v9(constB139)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28272,plain,
% 9.27/6.91 (v184(constB139) <=> (~((~v39(constB139)) | (~v9(constB139))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28271, 120])).
% 9.27/6.91 tff(28273,plain,
% 9.27/6.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28274,plain,
% 9.27/6.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28275,plain,
% 9.27/6.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 9.27/6.91 tff(28276,plain,
% 9.27/6.91 (v13(constB140) <=> v9(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28275, 3195, 216])).
% 9.27/6.91 tff(28277,plain,
% 9.27/6.91 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB140) <=> v13(constB140))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28278,plain,
% 9.27/6.91 (v6(constB140) <=> v13(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28277, 230])).
% 9.27/6.91 tff(28279,plain,
% 9.27/6.91 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB140)) <=> v6(constB140))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28280,plain,
% 9.27/6.91 ((~v21(constB140)) <=> v6(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28279, 239])).
% 9.27/6.91 tff(28281,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB140) <=> (v20(constB140) | v21(constB140)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28282,plain,
% 9.27/6.91 (v19(constB140) <=> (v20(constB140) | v21(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28281, 248])).
% 9.27/6.91 tff(28283,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28284,plain,
% 9.27/6.91 (v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28283, 260])).
% 9.27/6.91 tff(28285,plain,
% 9.27/6.91 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB140)) <=> v18(constB140))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28286,plain,
% 9.27/6.91 ((~v4(constB140)) <=> v18(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28285, 269])).
% 9.27/6.91 tff(28287,plain,
% 9.27/6.91 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB140)),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28288,plain,
% 9.27/6.91 (v4(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28287, 278])).
% 9.27/6.91 tff(28289,plain,
% 9.27/6.91 ((~((~v4(constB140)) <=> v18(constB140))) | (~v4(constB140)) | (~v18(constB140))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28290,plain,
% 9.27/6.91 (~v18(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28289, 28288, 28286])).
% 9.27/6.91 tff(28291,plain,
% 9.27/6.91 ((~(v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140)))))) | v18(constB140) | ((~v19(constB140)) | (~v22(constB140)))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28292,plain,
% 9.27/6.91 ((~v19(constB140)) | (~v22(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28291, 28290, 28284])).
% 9.27/6.91 tff(28293,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB140) <=> (v1(constB140) | v6(constB140)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28294,plain,
% 9.27/6.91 (v22(constB140) <=> (v1(constB140) | v6(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28293, 291])).
% 9.27/6.91 tff(28295,plain,
% 9.27/6.91 ((v1(constB140) | v6(constB140)) | (~v1(constB140))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28296,plain,
% 9.27/6.91 (v1(constB140) | v6(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28295, 3225])).
% 9.27/6.91 tff(28297,plain,
% 9.27/6.91 ((~(v22(constB140) <=> (v1(constB140) | v6(constB140)))) | v22(constB140) | (~(v1(constB140) | v6(constB140)))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28298,plain,
% 9.27/6.91 ((~(v22(constB140) <=> (v1(constB140) | v6(constB140)))) | v22(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28297, 28296])).
% 9.27/6.91 tff(28299,plain,
% 9.27/6.91 (v22(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28298, 28294])).
% 9.27/6.91 tff(28300,plain,
% 9.27/6.91 ((~((~v19(constB140)) | (~v22(constB140)))) | (~v19(constB140)) | (~v22(constB140))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28301,plain,
% 9.27/6.91 ((~((~v19(constB140)) | (~v22(constB140)))) | (~v19(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28300, 28299])).
% 9.27/6.91 tff(28302,plain,
% 9.27/6.91 (~v19(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28301, 28292])).
% 9.27/6.91 tff(28303,plain,
% 9.27/6.91 ((~(v19(constB140) <=> (v20(constB140) | v21(constB140)))) | v19(constB140) | (~(v20(constB140) | v21(constB140)))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28304,plain,
% 9.27/6.91 (~(v20(constB140) | v21(constB140))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28303, 28302, 28282])).
% 9.27/6.91 tff(28305,plain,
% 9.27/6.91 ((v20(constB140) | v21(constB140)) | (~v21(constB140))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28306,plain,
% 9.27/6.91 (~v21(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28305, 28304])).
% 9.27/6.91 tff(28307,plain,
% 9.27/6.91 ((~((~v21(constB140)) <=> v6(constB140))) | v21(constB140) | v6(constB140)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28308,plain,
% 9.27/6.91 (v6(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28307, 28306, 28280])).
% 9.27/6.91 tff(28309,plain,
% 9.27/6.91 ((~(v6(constB140) <=> v13(constB140))) | (~v6(constB140)) | v13(constB140)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28310,plain,
% 9.27/6.91 (v13(constB140)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28309, 28308, 28278])).
% 9.27/6.91 tff(28311,plain,
% 9.27/6.91 ((~(v13(constB140) <=> v9(constB139))) | (~v13(constB140)) | v9(constB139)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28312,plain,
% 9.27/6.91 (v9(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28311, 28310, 28276])).
% 9.27/6.91 tff(28313,plain,
% 9.27/6.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB139)) <=> v1(constB139))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28314,plain,
% 9.27/6.91 ((~v39(constB139)) <=> v1(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28313, 129])).
% 9.27/6.91 tff(28315,plain,
% 9.27/6.91 ((~((~v39(constB139)) <=> v1(constB139))) | v39(constB139) | v1(constB139)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28316,plain,
% 9.27/6.91 ((~((~v39(constB139)) <=> v1(constB139))) | v39(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28315, 3217])).
% 9.27/6.91 tff(28317,plain,
% 9.27/6.91 (v39(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28316, 28314])).
% 9.27/6.91 tff(28318,plain,
% 9.27/6.91 ((~((~v39(constB139)) | (~v9(constB139)))) | (~v39(constB139)) | (~v9(constB139))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28319,plain,
% 9.27/6.91 ((~((~v39(constB139)) | (~v9(constB139)))) | (~v9(constB139))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28318, 28317])).
% 9.27/6.91 tff(28320,plain,
% 9.27/6.91 (~((~v39(constB139)) | (~v9(constB139)))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28319, 28312])).
% 9.27/6.91 tff(28321,plain,
% 9.27/6.91 ((~(v184(constB139) <=> (~((~v39(constB139)) | (~v9(constB139)))))) | v184(constB139) | ((~v39(constB139)) | (~v9(constB139)))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28322,plain,
% 9.27/6.91 (v184(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28321, 28320, 28272])).
% 9.27/6.91 tff(28323,plain,
% 9.27/6.91 ((v184(constB139) | v26(constB139)) | (~v184(constB139))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28324,plain,
% 9.27/6.91 (v184(constB139) | v26(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28323, 28322])).
% 9.27/6.91 tff(28325,plain,
% 9.27/6.91 ((~(v183(constB139) <=> (v184(constB139) | v26(constB139)))) | v183(constB139) | (~(v184(constB139) | v26(constB139)))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28326,plain,
% 9.27/6.91 (v183(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28325, 28324, 28270])).
% 9.27/6.91 tff(28327,plain,
% 9.27/6.91 ((~((~v182(constB139)) <=> v183(constB139))) | (~v182(constB139)) | (~v183(constB139))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28328,plain,
% 9.27/6.91 (~v182(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28327, 28326, 28268])).
% 9.27/6.91 tff(28329,plain,
% 9.27/6.91 (((~v157(constB139)) | (~v182(constB139))) | v182(constB139)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28330,plain,
% 9.27/6.91 ((~v157(constB139)) | (~v182(constB139))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28329, 28328])).
% 9.27/6.91 tff(28331,plain,
% 9.27/6.91 ((~(v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139)))))) | (~v181(constB139)) | (~((~v157(constB139)) | (~v182(constB139))))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28332,plain,
% 9.27/6.91 (~v181(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28331, 28330, 28266])).
% 9.27/6.91 tff(28333,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB139) <=> (~((~v186(constB139)) | (~v187(constB139)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28334,plain,
% 9.27/6.91 (v185(constB139) <=> (~((~v186(constB139)) | (~v187(constB139))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28333, 96])).
% 9.27/6.91 tff(28335,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB139) <=> (~((~v184(constB139)) | (~v159(constB139)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28336,plain,
% 9.27/6.91 (v187(constB139) <=> (~((~v184(constB139)) | (~v159(constB139))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28335, 108])).
% 9.27/6.91 tff(28337,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB139) <=> v161(constB139))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28338,plain,
% 9.27/6.91 (v159(constB139) <=> v161(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28337, 345])).
% 9.27/6.91 tff(28339,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28340,plain,
% 9.27/6.91 (v139(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2)))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28339, 360])).
% 9.27/6.91 tff(28341,plain,
% 9.27/6.91 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28342,plain,
% 9.27/6.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28343,plain,
% 9.27/6.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28342, 28341])).
% 9.27/6.91 tff(28344,plain,
% 9.27/6.91 (v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28343, 375, 372])).
% 9.27/6.91 tff(28345,plain,
% 9.27/6.91 ((~(v88(constB139, bitIndex1) <=> v90(constB139, bitIndex1))) | v88(constB139, bitIndex1) | (~v90(constB139, bitIndex1))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28346,plain,
% 9.27/6.91 (v88(constB139, bitIndex1)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28345, 21116, 28344])).
% 9.27/6.91 tff(28347,plain,
% 9.27/6.91 ((v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2)) | (~v88(constB139, bitIndex1))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28348,plain,
% 9.27/6.91 (v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28347, 28346])).
% 9.27/6.91 tff(28349,plain,
% 9.27/6.91 ((~(v139(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2))))) | (~v139(constB139)) | (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2)))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28350,plain,
% 9.27/6.91 (~v139(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28349, 28348, 28340])).
% 9.27/6.91 tff(28351,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0))))))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28352,plain,
% 9.27/6.91 ((v140(constB139) <=> (~(v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))))) <=> (v140(constB139) <=> (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0)))))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28353,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0))))))),
% 9.27/6.91 inference(monotonicity,[status(thm)],[28352])).
% 9.27/6.91 tff(28354,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0))))))),
% 9.27/6.91 inference(transitivity,[status(thm)],[28353, 28351])).
% 9.27/6.91 tff(28355,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28356,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0)))))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28355, 28354])).
% 9.27/6.91 tff(28357,plain,
% 9.27/6.91 (v140(constB139) <=> (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28356, 25795])).
% 9.27/6.91 tff(28358,plain,
% 9.27/6.91 ((v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0))) | (~v88(constB139, bitIndex1))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28359,plain,
% 9.27/6.91 (v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28358, 28346])).
% 9.27/6.91 tff(28360,plain,
% 9.27/6.91 ((~(v140(constB139) <=> (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0)))))) | (~v140(constB139)) | (~(v88(constB139, bitIndex2) | v88(constB139, bitIndex1) | (~v88(constB139, bitIndex0))))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28361,plain,
% 9.27/6.91 (~v140(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28360, 28359, 28357])).
% 9.27/6.91 tff(28362,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB139) | v140(constB139) | (~v168(constB139)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28363,plain,
% 9.27/6.91 ((v140(constB139) | v139(constB139) | (~v168(constB139))) <=> (v139(constB139) | v140(constB139) | (~v168(constB139)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28364,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v168(constB139))))),
% 9.27/6.91 inference(monotonicity,[status(thm)],[28363])).
% 9.27/6.91 tff(28365,plain,
% 9.27/6.91 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB139) | v140(constB139) | (~v168(constB139)))),
% 9.27/6.91 inference(transitivity,[status(thm)],[28364, 28362])).
% 9.27/6.91 tff(28366,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v168(constB139)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28367,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB139) | v140(constB139) | (~v168(constB139))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28366, 28365])).
% 9.27/6.91 tff(28368,plain,
% 9.27/6.91 (v139(constB139) | v140(constB139) | (~v168(constB139))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28367, 25819])).
% 9.27/6.91 tff(28369,plain,
% 9.27/6.91 (~v168(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28368, 28361, 28350])).
% 9.27/6.91 tff(28370,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB139) <=> (v145(constB139) | v165(constB139)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28371,plain,
% 9.27/6.91 (v164(constB139) <=> (v145(constB139) | v165(constB139))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28370, 25834])).
% 9.27/6.91 tff(28372,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB139) <=> (v142(constB139) | v166(constB139)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28373,plain,
% 9.27/6.91 (v165(constB139) <=> (v142(constB139) | v166(constB139))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28372, 25846])).
% 9.27/6.91 tff(28374,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB139) <=> (v141(constB139) | v167(constB139)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28375,plain,
% 9.27/6.91 (v166(constB139) <=> (v141(constB139) | v167(constB139))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28374, 26362])).
% 9.27/6.91 tff(28376,plain,
% 9.27/6.91 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)))))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28377,plain,
% 9.27/6.91 (v141(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0))))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28376, 26377])).
% 9.27/6.91 tff(28378,plain,
% 9.27/6.91 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28379,plain,
% 9.27/6.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28380,plain,
% 9.27/6.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28379, 28378])).
% 9.27/6.91 tff(28381,plain,
% 9.27/6.91 (v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28380, 648, 372])).
% 9.27/6.91 tff(28382,plain,
% 9.27/6.91 ((~(v88(constB139, bitIndex2) <=> v90(constB139, bitIndex2))) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2)),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28383,plain,
% 9.27/6.91 (~v88(constB139, bitIndex2)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28382, 21054, 28381])).
% 9.27/6.91 tff(28384,plain,
% 9.27/6.91 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0)))),
% 9.27/6.91 inference(rewrite,[status(thm)],[])).
% 9.27/6.91 tff(28385,plain,
% 9.27/6.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0)))),
% 9.27/6.91 inference(quant_inst,[status(thm)],[])).
% 9.27/6.91 tff(28386,plain,
% 9.27/6.91 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0))),
% 9.27/6.91 inference(modus_ponens,[status(thm)],[28385, 28384])).
% 9.27/6.91 tff(28387,plain,
% 9.27/6.91 (v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28386, 9653, 372])).
% 9.27/6.91 tff(28388,plain,
% 9.27/6.91 ((~(v88(constB139, bitIndex0) <=> v90(constB139, bitIndex0))) | v88(constB139, bitIndex0) | (~v90(constB139, bitIndex0))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28389,plain,
% 9.27/6.91 (v88(constB139, bitIndex0)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28388, 21085, 28387])).
% 9.27/6.91 tff(28390,plain,
% 9.27/6.91 ((~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)))) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28391,plain,
% 9.27/6.91 (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)))),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28390, 28346, 28389, 28383])).
% 9.27/6.91 tff(28392,plain,
% 9.27/6.91 ((~(v141(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)))))) | v141(constB139) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)))),
% 9.27/6.91 inference(tautology,[status(thm)],[])).
% 9.27/6.91 tff(28393,plain,
% 9.27/6.91 (v141(constB139)),
% 9.27/6.91 inference(unit_resolution,[status(thm)],[28392, 28391, 28377])).
% 9.34/6.92 tff(28394,plain,
% 9.34/6.92 ((v141(constB139) | v167(constB139)) | (~v141(constB139))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28395,plain,
% 9.34/6.92 (v141(constB139) | v167(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28394, 28393])).
% 9.34/6.92 tff(28396,plain,
% 9.34/6.92 ((~(v166(constB139) <=> (v141(constB139) | v167(constB139)))) | v166(constB139) | (~(v141(constB139) | v167(constB139)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28397,plain,
% 9.34/6.92 (v166(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28396, 28395, 28375])).
% 9.34/6.92 tff(28398,plain,
% 9.34/6.92 ((v142(constB139) | v166(constB139)) | (~v166(constB139))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28399,plain,
% 9.34/6.92 (v142(constB139) | v166(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28398, 28397])).
% 9.34/6.92 tff(28400,plain,
% 9.34/6.92 ((~(v165(constB139) <=> (v142(constB139) | v166(constB139)))) | v165(constB139) | (~(v142(constB139) | v166(constB139)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28401,plain,
% 9.34/6.92 (v165(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28400, 28399, 28373])).
% 9.34/6.92 tff(28402,plain,
% 9.34/6.92 ((v145(constB139) | v165(constB139)) | (~v165(constB139))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28403,plain,
% 9.34/6.92 (v145(constB139) | v165(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28402, 28401])).
% 9.34/6.92 tff(28404,plain,
% 9.34/6.92 ((~(v164(constB139) <=> (v145(constB139) | v165(constB139)))) | v164(constB139) | (~(v145(constB139) | v165(constB139)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28405,plain,
% 9.34/6.92 (v164(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28404, 28403, 28371])).
% 9.34/6.92 tff(28406,plain,
% 9.34/6.92 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB139)) | (v161(constB139) <=> v168(constB139)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB139)) | (v161(constB139) <=> v168(constB139)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28407,plain,
% 9.34/6.92 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB139)) | (v161(constB139) <=> v168(constB139)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28408,plain,
% 9.34/6.92 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB139)) | (v161(constB139) <=> v168(constB139))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 9.34/6.92 tff(28409,plain,
% 9.34/6.92 ((~v164(constB139)) | (v161(constB139) <=> v168(constB139))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28408, 25977])).
% 9.34/6.92 tff(28410,plain,
% 9.34/6.92 (v161(constB139) <=> v168(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28409, 28405])).
% 9.34/6.92 tff(28411,plain,
% 9.34/6.92 ((~(v161(constB139) <=> v168(constB139))) | (~v161(constB139)) | v168(constB139)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28412,plain,
% 9.34/6.92 (~v161(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28411, 28410, 28369])).
% 9.34/6.92 tff(28413,plain,
% 9.34/6.92 ((~(v159(constB139) <=> v161(constB139))) | (~v159(constB139)) | v161(constB139)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28414,plain,
% 9.34/6.92 ((~(v159(constB139) <=> v161(constB139))) | (~v159(constB139))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28413, 28412])).
% 9.34/6.92 tff(28415,plain,
% 9.34/6.92 (~v159(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28414, 28338])).
% 9.34/6.92 tff(28416,plain,
% 9.34/6.92 (((~v184(constB139)) | (~v159(constB139))) | v159(constB139)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28417,plain,
% 9.34/6.92 ((~v184(constB139)) | (~v159(constB139))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28416, 28415])).
% 9.34/6.92 tff(28418,plain,
% 9.34/6.92 ((~(v187(constB139) <=> (~((~v184(constB139)) | (~v159(constB139)))))) | (~v187(constB139)) | (~((~v184(constB139)) | (~v159(constB139))))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28419,plain,
% 9.34/6.92 (~v187(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28418, 28417, 28336])).
% 9.34/6.92 tff(28420,plain,
% 9.34/6.92 (((~v186(constB139)) | (~v187(constB139))) | v187(constB139)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28421,plain,
% 9.34/6.92 ((~v186(constB139)) | (~v187(constB139))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28420, 28419])).
% 9.34/6.92 tff(28422,plain,
% 9.34/6.92 ((~(v185(constB139) <=> (~((~v186(constB139)) | (~v187(constB139)))))) | (~v185(constB139)) | (~((~v186(constB139)) | (~v187(constB139))))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28423,plain,
% 9.34/6.92 (~v185(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28422, 28421, 28334])).
% 9.34/6.92 tff(28424,plain,
% 9.34/6.92 ((~(v181(constB139) | v185(constB139))) | v181(constB139) | v185(constB139)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28425,plain,
% 9.34/6.92 (~(v181(constB139) | v185(constB139))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28424, 28423, 28332])).
% 9.34/6.92 tff(28426,plain,
% 9.34/6.92 ((~(v178(constB139) <=> (v181(constB139) | v185(constB139)))) | (~v178(constB139)) | (v181(constB139) | v185(constB139))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28427,plain,
% 9.34/6.92 (~v178(constB139)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28426, 28425, 28259])).
% 9.34/6.92 tff(28428,plain,
% 9.34/6.92 ((~(v180(constB140) <=> v178(constB139))) | (~v180(constB140)) | v178(constB139)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28429,plain,
% 9.34/6.92 (~v180(constB140)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28428, 28427, 28257])).
% 9.34/6.92 tff(28430,plain,
% 9.34/6.92 ((~(v157(constB140) <=> v180(constB140))) | (~v157(constB140)) | v180(constB140)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28431,plain,
% 9.34/6.92 (~v157(constB140)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28430, 28429, 28253])).
% 9.34/6.92 tff(28432,plain,
% 9.34/6.92 (((~v157(constB140)) | (~v182(constB140))) | v157(constB140)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28433,plain,
% 9.34/6.92 ((~v157(constB140)) | (~v182(constB140))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28432, 28431])).
% 9.34/6.92 tff(28434,plain,
% 9.34/6.92 ((~(v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140)))))) | (~v181(constB140)) | (~((~v157(constB140)) | (~v182(constB140))))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28435,plain,
% 9.34/6.92 (~v181(constB140)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28434, 28433, 28251])).
% 9.34/6.92 tff(28436,plain,
% 9.34/6.92 ((~(v181(constB140) | v185(constB140))) | v181(constB140) | v185(constB140)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28437,plain,
% 9.34/6.92 (~(v181(constB140) | v185(constB140))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28436, 28435, 28244])).
% 9.34/6.92 tff(28438,plain,
% 9.34/6.92 ((~(v178(constB140) <=> (v181(constB140) | v185(constB140)))) | (~v178(constB140)) | (v181(constB140) | v185(constB140))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28439,plain,
% 9.34/6.92 (~v178(constB140)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28438, 28437, 28219])).
% 9.34/6.92 tff(28440,plain,
% 9.34/6.92 ((~(v180(constB141) <=> v178(constB140))) | (~v180(constB141)) | v178(constB140)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28441,plain,
% 9.34/6.92 (~v180(constB141)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28440, 28439, 28217])).
% 9.34/6.92 tff(28442,plain,
% 9.34/6.92 ($false),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28441, 28213])).
% 9.34/6.92 tff(28443,plain,(~(constB141 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.92 tff(28444,assumption,(constB29 = VarCurr!0), introduced(assumption)).
% 9.34/6.92 tff(28445,plain,
% 9.34/6.92 (v86(constB29) <=> v86(VarCurr!0)),
% 9.34/6.92 inference(monotonicity,[status(thm)],[28444])).
% 9.34/6.92 tff(28446,plain,
% 9.34/6.92 (v86(VarCurr!0) <=> v86(constB29)),
% 9.34/6.92 inference(symmetry,[status(thm)],[28445])).
% 9.34/6.92 tff(28447,plain,
% 9.34/6.92 ((~v86(VarCurr!0)) <=> (~v86(constB29))),
% 9.34/6.92 inference(monotonicity,[status(thm)],[28446])).
% 9.34/6.92 tff(28448,plain,
% 9.34/6.92 (~v86(constB29)),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[26079, 28447])).
% 9.34/6.92 tff(28449,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB29) <=> (v143(constB29) | v144(constB29)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28450,plain,
% 9.34/6.92 (v142(constB29) <=> (v143(constB29) | v144(constB29))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28449, 25855])).
% 9.34/6.92 tff(28451,plain,
% 9.34/6.92 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)))))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28452,plain,
% 9.34/6.92 ((v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1))))) <=> (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28453,plain,
% 9.34/6.92 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)))))),
% 9.34/6.92 inference(monotonicity,[status(thm)],[28452])).
% 9.34/6.92 tff(28454,plain,
% 9.34/6.92 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)))))),
% 9.34/6.92 inference(transitivity,[status(thm)],[28453, 28451])).
% 9.34/6.92 tff(28455,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28456,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28455, 28454])).
% 9.34/6.92 tff(28457,plain,
% 9.34/6.92 (v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28456, 25870])).
% 9.34/6.92 tff(28458,plain,
% 9.34/6.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28459,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28460,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28459, 28458])).
% 9.34/6.92 tff(28461,plain,
% 9.34/6.92 (v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28460, 648, 372])).
% 9.34/6.92 tff(28462,plain,
% 9.34/6.92 ((~(v88(constB29, bitIndex2) <=> v90(constB29, bitIndex2))) | (~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28463,plain,
% 9.34/6.92 (~v88(constB29, bitIndex2)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28462, 12112, 28461])).
% 9.34/6.92 tff(28464,plain,
% 9.34/6.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28465,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28466,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28465, 28464])).
% 9.34/6.92 tff(28467,plain,
% 9.34/6.92 (v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28466, 9653, 372])).
% 9.34/6.92 tff(28468,plain,
% 9.34/6.92 ((~(v88(constB29, bitIndex0) <=> v90(constB29, bitIndex0))) | (~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28469,plain,
% 9.34/6.92 (~v88(constB29, bitIndex0)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28468, 12143, 28467])).
% 9.34/6.92 tff(28470,plain,
% 9.34/6.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28471,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28472,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28471, 28470])).
% 9.34/6.92 tff(28473,plain,
% 9.34/6.92 (v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28472, 375, 372])).
% 9.34/6.92 tff(28474,plain,
% 9.34/6.92 ((~(v88(constB29, bitIndex1) <=> v90(constB29, bitIndex1))) | v88(constB29, bitIndex1) | (~v90(constB29, bitIndex1))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28475,plain,
% 9.34/6.92 (v88(constB29, bitIndex1)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28474, 12174, 28473])).
% 9.34/6.92 tff(28476,plain,
% 9.34/6.92 ((~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28477,plain,
% 9.34/6.92 (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28476, 28475, 28469, 28463])).
% 9.34/6.92 tff(28478,plain,
% 9.34/6.92 ((~(v143(constB29) <=> (~(v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))))) | v143(constB29) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28479,plain,
% 9.34/6.92 (v143(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28478, 28477, 28457])).
% 9.34/6.92 tff(28480,plain,
% 9.34/6.92 ((v143(constB29) | v144(constB29)) | (~v143(constB29))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28481,plain,
% 9.34/6.92 (v143(constB29) | v144(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28480, 28479])).
% 9.34/6.92 tff(28482,plain,
% 9.34/6.92 ((~(v142(constB29) <=> (v143(constB29) | v144(constB29)))) | v142(constB29) | (~(v143(constB29) | v144(constB29)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28483,plain,
% 9.34/6.92 (v142(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28482, 28481, 28450])).
% 9.34/6.92 tff(28484,plain,
% 9.34/6.92 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB29) | (~v142(constB29)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28485,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB29) | (~v142(constB29)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28486,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB29) | (~v142(constB29))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28485, 28484])).
% 9.34/6.92 tff(28487,plain,
% 9.34/6.92 (v148(constB29) | (~v142(constB29))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28486, 26138])).
% 9.34/6.92 tff(28488,plain,
% 9.34/6.92 (v148(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28487, 28483])).
% 9.34/6.92 tff(28489,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB29) <=> (v136(constB29) | v145(constB29)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28490,plain,
% 9.34/6.92 (v135(constB29) <=> (v136(constB29) | v145(constB29))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28489, 26150])).
% 9.34/6.92 tff(28491,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB29) <=> (v137(constB29) | v142(constB29)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28492,plain,
% 9.34/6.92 (v136(constB29) <=> (v137(constB29) | v142(constB29))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28491, 26159])).
% 9.34/6.92 tff(28493,plain,
% 9.34/6.92 ((v137(constB29) | v142(constB29)) | (~v142(constB29))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28494,plain,
% 9.34/6.92 (v137(constB29) | v142(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28493, 28483])).
% 9.34/6.92 tff(28495,plain,
% 9.34/6.92 ((~(v136(constB29) <=> (v137(constB29) | v142(constB29)))) | v136(constB29) | (~(v137(constB29) | v142(constB29)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28496,plain,
% 9.34/6.92 (v136(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28495, 28494, 28492])).
% 9.34/6.92 tff(28497,plain,
% 9.34/6.92 ((v136(constB29) | v145(constB29)) | (~v136(constB29))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28498,plain,
% 9.34/6.92 (v136(constB29) | v145(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28497, 28496])).
% 9.34/6.92 tff(28499,plain,
% 9.34/6.92 ((~(v135(constB29) <=> (v136(constB29) | v145(constB29)))) | v135(constB29) | (~(v136(constB29) | v145(constB29)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28500,plain,
% 9.34/6.92 (v135(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28499, 28498, 28490])).
% 9.34/6.92 tff(28501,plain,
% 9.34/6.92 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB29)) | (v86(constB29) <=> v148(constB29)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB29)) | (v86(constB29) <=> v148(constB29)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28502,plain,
% 9.34/6.92 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB29)) | (v86(constB29) <=> v148(constB29)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28503,plain,
% 9.34/6.92 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB29)) | (v86(constB29) <=> v148(constB29))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28502, 28501])).
% 9.34/6.92 tff(28504,plain,
% 9.34/6.92 ((~v135(constB29)) | (v86(constB29) <=> v148(constB29))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28503, 26179])).
% 9.34/6.92 tff(28505,plain,
% 9.34/6.92 (v86(constB29) <=> v148(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28504, 28500])).
% 9.34/6.92 tff(28506,plain,
% 9.34/6.92 ((~(v86(constB29) <=> v148(constB29))) | v86(constB29) | (~v148(constB29))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28507,plain,
% 9.34/6.92 (v86(constB29)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28506, 28505, 28488])).
% 9.34/6.92 tff(28508,plain,
% 9.34/6.92 ($false),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28507, 28448])).
% 9.34/6.92 tff(28509,plain,(~(constB29 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.92 tff(28510,assumption,(constB125 = VarCurr!0), introduced(assumption)).
% 9.34/6.92 tff(28511,plain,
% 9.34/6.92 (v86(constB125) <=> v86(VarCurr!0)),
% 9.34/6.92 inference(monotonicity,[status(thm)],[28510])).
% 9.34/6.92 tff(28512,plain,
% 9.34/6.92 (v86(VarCurr!0) <=> v86(constB125)),
% 9.34/6.92 inference(symmetry,[status(thm)],[28511])).
% 9.34/6.92 tff(28513,plain,
% 9.34/6.92 ((~v86(VarCurr!0)) <=> (~v86(constB125))),
% 9.34/6.92 inference(monotonicity,[status(thm)],[28512])).
% 9.34/6.92 tff(28514,plain,
% 9.34/6.92 (~v86(constB125)),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[26079, 28513])).
% 9.34/6.92 tff(28515,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB125) <=> (v143(constB125) | v144(constB125)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28516,plain,
% 9.34/6.92 (v142(constB125) <=> (v143(constB125) | v144(constB125))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28515, 25855])).
% 9.34/6.92 tff(28517,plain,
% 9.34/6.92 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28518,plain,
% 9.34/6.92 ((v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1))))) <=> (v143(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28519,plain,
% 9.34/6.92 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))))),
% 9.34/6.92 inference(monotonicity,[status(thm)],[28518])).
% 9.34/6.92 tff(28520,plain,
% 9.34/6.92 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))))),
% 9.34/6.92 inference(transitivity,[status(thm)],[28519, 28517])).
% 9.34/6.92 tff(28521,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28522,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28521, 28520])).
% 9.34/6.92 tff(28523,plain,
% 9.34/6.92 (v143(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28522, 25870])).
% 9.34/6.92 tff(28524,plain,
% 9.34/6.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28525,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28526,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28525, 28524])).
% 9.34/6.92 tff(28527,plain,
% 9.34/6.92 (v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28526, 648, 372])).
% 9.34/6.92 tff(28528,plain,
% 9.34/6.92 ((~(v88(constB125, bitIndex2) <=> v90(constB125, bitIndex2))) | (~v88(constB125, bitIndex2)) | v90(constB125, bitIndex2)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28529,plain,
% 9.34/6.92 (~v88(constB125, bitIndex2)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28528, 19920, 28527])).
% 9.34/6.92 tff(28530,plain,
% 9.34/6.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28531,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28532,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28531, 28530])).
% 9.34/6.92 tff(28533,plain,
% 9.34/6.92 (v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28532, 9653, 372])).
% 9.34/6.92 tff(28534,plain,
% 9.34/6.92 ((~(v88(constB125, bitIndex0) <=> v90(constB125, bitIndex0))) | (~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28535,plain,
% 9.34/6.92 (~v88(constB125, bitIndex0)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28534, 19951, 28533])).
% 9.34/6.92 tff(28536,plain,
% 9.34/6.92 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28537,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28538,plain,
% 9.34/6.92 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28537, 28536])).
% 9.34/6.92 tff(28539,plain,
% 9.34/6.92 (v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28538, 375, 372])).
% 9.34/6.92 tff(28540,plain,
% 9.34/6.92 ((~(v88(constB125, bitIndex1) <=> v90(constB125, bitIndex1))) | v88(constB125, bitIndex1) | (~v90(constB125, bitIndex1))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28541,plain,
% 9.34/6.92 (v88(constB125, bitIndex1)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28540, 19982, 28539])).
% 9.34/6.92 tff(28542,plain,
% 9.34/6.92 ((~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28543,plain,
% 9.34/6.92 (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28542, 28541, 28535, 28529])).
% 9.34/6.92 tff(28544,plain,
% 9.34/6.92 ((~(v143(constB125) <=> (~(v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))))) | v143(constB125) | (v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28545,plain,
% 9.34/6.92 (v143(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28544, 28543, 28523])).
% 9.34/6.92 tff(28546,plain,
% 9.34/6.92 ((v143(constB125) | v144(constB125)) | (~v143(constB125))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28547,plain,
% 9.34/6.92 (v143(constB125) | v144(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28546, 28545])).
% 9.34/6.92 tff(28548,plain,
% 9.34/6.92 ((~(v142(constB125) <=> (v143(constB125) | v144(constB125)))) | v142(constB125) | (~(v143(constB125) | v144(constB125)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28549,plain,
% 9.34/6.92 (v142(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28548, 28547, 28516])).
% 9.34/6.92 tff(28550,plain,
% 9.34/6.92 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28551,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28552,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28551, 28550])).
% 9.34/6.92 tff(28553,plain,
% 9.34/6.92 (v148(constB125) | (~v142(constB125))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28552, 26138])).
% 9.34/6.92 tff(28554,plain,
% 9.34/6.92 (v148(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28553, 28549])).
% 9.34/6.92 tff(28555,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB125) <=> (v136(constB125) | v145(constB125)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28556,plain,
% 9.34/6.92 (v135(constB125) <=> (v136(constB125) | v145(constB125))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28555, 26150])).
% 9.34/6.92 tff(28557,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB125) <=> (v137(constB125) | v142(constB125)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28558,plain,
% 9.34/6.92 (v136(constB125) <=> (v137(constB125) | v142(constB125))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28557, 26159])).
% 9.34/6.92 tff(28559,plain,
% 9.34/6.92 ((v137(constB125) | v142(constB125)) | (~v142(constB125))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28560,plain,
% 9.34/6.92 (v137(constB125) | v142(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28559, 28549])).
% 9.34/6.92 tff(28561,plain,
% 9.34/6.92 ((~(v136(constB125) <=> (v137(constB125) | v142(constB125)))) | v136(constB125) | (~(v137(constB125) | v142(constB125)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28562,plain,
% 9.34/6.92 (v136(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28561, 28560, 28558])).
% 9.34/6.92 tff(28563,plain,
% 9.34/6.92 ((v136(constB125) | v145(constB125)) | (~v136(constB125))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28564,plain,
% 9.34/6.92 (v136(constB125) | v145(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28563, 28562])).
% 9.34/6.92 tff(28565,plain,
% 9.34/6.92 ((~(v135(constB125) <=> (v136(constB125) | v145(constB125)))) | v135(constB125) | (~(v136(constB125) | v145(constB125)))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28566,plain,
% 9.34/6.92 (v135(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28565, 28564, 28556])).
% 9.34/6.92 tff(28567,plain,
% 9.34/6.92 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB125)) | (v86(constB125) <=> v148(constB125)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB125)) | (v86(constB125) <=> v148(constB125)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28568,plain,
% 9.34/6.92 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB125)) | (v86(constB125) <=> v148(constB125)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28569,plain,
% 9.34/6.92 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB125)) | (v86(constB125) <=> v148(constB125))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 9.34/6.92 tff(28570,plain,
% 9.34/6.92 ((~v135(constB125)) | (v86(constB125) <=> v148(constB125))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28569, 26179])).
% 9.34/6.92 tff(28571,plain,
% 9.34/6.92 (v86(constB125) <=> v148(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28570, 28566])).
% 9.34/6.92 tff(28572,plain,
% 9.34/6.92 ((~(v86(constB125) <=> v148(constB125))) | v86(constB125) | (~v148(constB125))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28573,plain,
% 9.34/6.92 (v86(constB125)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28572, 28571, 28554])).
% 9.34/6.92 tff(28574,plain,
% 9.34/6.92 ($false),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28573, 28514])).
% 9.34/6.92 tff(28575,plain,(~(constB125 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.92 tff(28576,assumption,(constB105 = VarCurr!0), introduced(assumption)).
% 9.34/6.92 tff(28577,plain,
% 9.34/6.92 (v180(constB105) <=> v180(VarCurr!0)),
% 9.34/6.92 inference(monotonicity,[status(thm)],[28576])).
% 9.34/6.92 tff(28578,plain,
% 9.34/6.92 (v180(VarCurr!0) <=> v180(constB105)),
% 9.34/6.92 inference(symmetry,[status(thm)],[28577])).
% 9.34/6.92 tff(28579,plain,
% 9.34/6.92 (v180(constB105)),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[59, 28578])).
% 9.34/6.92 tff(28580,plain,
% 9.34/6.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB104, constB105)) | (v180(constB105) <=> v178(constB104)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB104, constB105)) | (v180(constB105) <=> v178(constB104)))),
% 9.34/6.92 inference(rewrite,[status(thm)],[])).
% 9.34/6.92 tff(28581,plain,
% 9.34/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB104, constB105)) | (v180(constB105) <=> v178(constB104)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28582,plain,
% 9.34/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB104, constB105)) | (v180(constB105) <=> v178(constB104))),
% 9.34/6.92 inference(modus_ponens,[status(thm)],[28581, 28580])).
% 9.34/6.92 tff(28583,plain,
% 9.34/6.92 (v180(constB105) <=> v178(constB104)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28582, 4819, 70])).
% 9.34/6.92 tff(28584,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB104) <=> (v181(constB104) | v185(constB104)))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28585,plain,
% 9.34/6.92 (v178(constB104) <=> (v181(constB104) | v185(constB104))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28584, 84])).
% 9.34/6.92 tff(28586,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB104) <=> (~((~v186(constB104)) | (~v187(constB104)))))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28587,plain,
% 9.34/6.92 (v185(constB104) <=> (~((~v186(constB104)) | (~v187(constB104))))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28586, 96])).
% 9.34/6.92 tff(28588,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB104) <=> (~((~v184(constB104)) | (~v159(constB104)))))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28589,plain,
% 9.34/6.92 (v187(constB104) <=> (~((~v184(constB104)) | (~v159(constB104))))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28588, 108])).
% 9.34/6.92 tff(28590,plain,
% 9.34/6.92 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28591,plain,
% 9.34/6.92 (v184(constB104) <=> (~((~v39(constB104)) | (~v9(constB104))))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28590, 120])).
% 9.34/6.92 tff(28592,plain,
% 9.34/6.92 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB104)) <=> v1(constB104))),
% 9.34/6.92 inference(quant_inst,[status(thm)],[])).
% 9.34/6.92 tff(28593,plain,
% 9.34/6.92 ((~v39(constB104)) <=> v1(constB104)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28592, 129])).
% 9.34/6.92 tff(28594,plain,
% 9.34/6.92 ((~((~v39(constB104)) <=> v1(constB104))) | (~v39(constB104)) | (~v1(constB104))),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28595,plain,
% 9.34/6.92 ((~((~v39(constB104)) <=> v1(constB104))) | (~v39(constB104))),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28594, 4881])).
% 9.34/6.92 tff(28596,plain,
% 9.34/6.92 (~v39(constB104)),
% 9.34/6.92 inference(unit_resolution,[status(thm)],[28595, 28593])).
% 9.34/6.92 tff(28597,plain,
% 9.34/6.92 (((~v39(constB104)) | (~v9(constB104))) | v39(constB104)),
% 9.34/6.92 inference(tautology,[status(thm)],[])).
% 9.34/6.92 tff(28598,plain,
% 9.34/6.92 ((~v39(constB104)) | (~v9(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28597, 28596])).
% 9.34/6.93 tff(28599,plain,
% 9.34/6.93 ((~(v184(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))) | (~v184(constB104)) | (~((~v39(constB104)) | (~v9(constB104))))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28600,plain,
% 9.34/6.93 ((~(v184(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))) | (~v184(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28599, 28598])).
% 9.34/6.93 tff(28601,plain,
% 9.34/6.93 (~v184(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28600, 28591])).
% 9.34/6.93 tff(28602,plain,
% 9.34/6.93 (((~v184(constB104)) | (~v159(constB104))) | v184(constB104)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28603,plain,
% 9.34/6.93 ((~v184(constB104)) | (~v159(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28602, 28601])).
% 9.34/6.93 tff(28604,plain,
% 9.34/6.93 ((~(v187(constB104) <=> (~((~v184(constB104)) | (~v159(constB104)))))) | (~v187(constB104)) | (~((~v184(constB104)) | (~v159(constB104))))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28605,plain,
% 9.34/6.93 ((~(v187(constB104) <=> (~((~v184(constB104)) | (~v159(constB104)))))) | (~v187(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28604, 28603])).
% 9.34/6.93 tff(28606,plain,
% 9.34/6.93 (~v187(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28605, 28589])).
% 9.34/6.93 tff(28607,plain,
% 9.34/6.93 (((~v186(constB104)) | (~v187(constB104))) | v187(constB104)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28608,plain,
% 9.34/6.93 ((~v186(constB104)) | (~v187(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28607, 28606])).
% 9.34/6.93 tff(28609,plain,
% 9.34/6.93 ((~(v185(constB104) <=> (~((~v186(constB104)) | (~v187(constB104)))))) | (~v185(constB104)) | (~((~v186(constB104)) | (~v187(constB104))))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28610,plain,
% 9.34/6.93 (~v185(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28609, 28608, 28587])).
% 9.34/6.93 tff(28611,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104))))))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28612,plain,
% 9.34/6.93 ((v181(constB104) <=> (~((~v182(constB104)) | (~v157(constB104))))) <=> (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104)))))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28613,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v182(constB104)) | (~v157(constB104)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104))))))),
% 9.34/6.93 inference(monotonicity,[status(thm)],[28612])).
% 9.34/6.93 tff(28614,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v182(constB104)) | (~v157(constB104)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104))))))),
% 9.34/6.93 inference(transitivity,[status(thm)],[28613, 28611])).
% 9.34/6.93 tff(28615,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v182(constB104)) | (~v157(constB104)))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28616,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104)))))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28615, 28614])).
% 9.34/6.93 tff(28617,plain,
% 9.34/6.93 (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104))))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28616, 161])).
% 9.34/6.93 tff(28618,plain,
% 9.34/6.93 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB104) <=> v180(constB104))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28619,plain,
% 9.34/6.93 (v157(constB104) <=> v180(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28618, 13])).
% 9.34/6.93 tff(28620,plain,
% 9.34/6.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB103, constB104)) | (v180(constB104) <=> v178(constB103)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB103, constB104)) | (v180(constB104) <=> v178(constB103)))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28621,plain,
% 9.34/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB103, constB104)) | (v180(constB104) <=> v178(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28622,plain,
% 9.34/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB103, constB104)) | (v180(constB104) <=> v178(constB103))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28621, 28620])).
% 9.34/6.93 tff(28623,plain,
% 9.34/6.93 (v180(constB104) <=> v178(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28622, 4851, 70])).
% 9.34/6.93 tff(28624,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB103) <=> (v181(constB103) | v185(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28625,plain,
% 9.34/6.93 (v178(constB103) <=> (v181(constB103) | v185(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28624, 84])).
% 9.34/6.93 tff(28626,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103))))))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28627,plain,
% 9.34/6.93 ((v181(constB103) <=> (~((~v182(constB103)) | (~v157(constB103))))) <=> (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103)))))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28628,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v182(constB103)) | (~v157(constB103)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103))))))),
% 9.34/6.93 inference(monotonicity,[status(thm)],[28627])).
% 9.34/6.93 tff(28629,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v182(constB103)) | (~v157(constB103)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103))))))),
% 9.34/6.93 inference(transitivity,[status(thm)],[28628, 28626])).
% 9.34/6.93 tff(28630,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v182(constB103)) | (~v157(constB103)))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28631,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103)))))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28630, 28629])).
% 9.34/6.93 tff(28632,plain,
% 9.34/6.93 (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103))))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28631, 161])).
% 9.34/6.93 tff(28633,plain,
% 9.34/6.93 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB103)) <=> v183(constB103))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28634,plain,
% 9.34/6.93 ((~v182(constB103)) <=> v183(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28633, 193])).
% 9.34/6.93 tff(28635,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB103) <=> (v184(constB103) | v26(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28636,plain,
% 9.34/6.93 (v183(constB103) <=> (v184(constB103) | v26(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28635, 202])).
% 9.34/6.93 tff(28637,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB103) <=> (~((~v39(constB103)) | (~v9(constB103)))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28638,plain,
% 9.34/6.93 (v184(constB103) <=> (~((~v39(constB103)) | (~v9(constB103))))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28637, 120])).
% 9.34/6.93 tff(28639,plain,
% 9.34/6.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28640,plain,
% 9.34/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28641,plain,
% 9.34/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28640, 28639])).
% 9.34/6.93 tff(28642,plain,
% 9.34/6.93 (v13(constB104) <=> v9(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28641, 4851, 216])).
% 9.34/6.93 tff(28643,plain,
% 9.34/6.93 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB104) <=> v13(constB104))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28644,plain,
% 9.34/6.93 (v6(constB104) <=> v13(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28643, 230])).
% 9.34/6.93 tff(28645,plain,
% 9.34/6.93 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB104)) <=> v6(constB104))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28646,plain,
% 9.34/6.93 ((~v21(constB104)) <=> v6(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28645, 239])).
% 9.34/6.93 tff(28647,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB104) <=> (v20(constB104) | v21(constB104)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28648,plain,
% 9.34/6.93 (v19(constB104) <=> (v20(constB104) | v21(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28647, 248])).
% 9.34/6.93 tff(28649,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104)))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28650,plain,
% 9.34/6.93 (v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104))))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28649, 260])).
% 9.34/6.93 tff(28651,plain,
% 9.34/6.93 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB104)) <=> v18(constB104))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28652,plain,
% 9.34/6.93 ((~v4(constB104)) <=> v18(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28651, 269])).
% 9.34/6.93 tff(28653,plain,
% 9.34/6.93 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB104)),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28654,plain,
% 9.34/6.93 (v4(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28653, 278])).
% 9.34/6.93 tff(28655,plain,
% 9.34/6.93 ((~((~v4(constB104)) <=> v18(constB104))) | (~v4(constB104)) | (~v18(constB104))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28656,plain,
% 9.34/6.93 (~v18(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28655, 28654, 28652])).
% 9.34/6.93 tff(28657,plain,
% 9.34/6.93 ((~(v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104)))))) | v18(constB104) | ((~v19(constB104)) | (~v22(constB104)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28658,plain,
% 9.34/6.93 ((~v19(constB104)) | (~v22(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28657, 28656, 28650])).
% 9.34/6.93 tff(28659,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB104) <=> (v1(constB104) | v6(constB104)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28660,plain,
% 9.34/6.93 (v22(constB104) <=> (v1(constB104) | v6(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28659, 291])).
% 9.34/6.93 tff(28661,plain,
% 9.34/6.93 ((v1(constB104) | v6(constB104)) | (~v1(constB104))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28662,plain,
% 9.34/6.93 (v1(constB104) | v6(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28661, 4881])).
% 9.34/6.93 tff(28663,plain,
% 9.34/6.93 ((~(v22(constB104) <=> (v1(constB104) | v6(constB104)))) | v22(constB104) | (~(v1(constB104) | v6(constB104)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28664,plain,
% 9.34/6.93 ((~(v22(constB104) <=> (v1(constB104) | v6(constB104)))) | v22(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28663, 28662])).
% 9.34/6.93 tff(28665,plain,
% 9.34/6.93 (v22(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28664, 28660])).
% 9.34/6.93 tff(28666,plain,
% 9.34/6.93 ((~((~v19(constB104)) | (~v22(constB104)))) | (~v19(constB104)) | (~v22(constB104))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28667,plain,
% 9.34/6.93 ((~((~v19(constB104)) | (~v22(constB104)))) | (~v19(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28666, 28665])).
% 9.34/6.93 tff(28668,plain,
% 9.34/6.93 (~v19(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28667, 28658])).
% 9.34/6.93 tff(28669,plain,
% 9.34/6.93 ((~(v19(constB104) <=> (v20(constB104) | v21(constB104)))) | v19(constB104) | (~(v20(constB104) | v21(constB104)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28670,plain,
% 9.34/6.93 (~(v20(constB104) | v21(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28669, 28668, 28648])).
% 9.34/6.93 tff(28671,plain,
% 9.34/6.93 ((v20(constB104) | v21(constB104)) | (~v21(constB104))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28672,plain,
% 9.34/6.93 (~v21(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28671, 28670])).
% 9.34/6.93 tff(28673,plain,
% 9.34/6.93 ((~((~v21(constB104)) <=> v6(constB104))) | v21(constB104) | v6(constB104)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28674,plain,
% 9.34/6.93 (v6(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28673, 28672, 28646])).
% 9.34/6.93 tff(28675,plain,
% 9.34/6.93 ((~(v6(constB104) <=> v13(constB104))) | (~v6(constB104)) | v13(constB104)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28676,plain,
% 9.34/6.93 (v13(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28675, 28674, 28644])).
% 9.34/6.93 tff(28677,plain,
% 9.34/6.93 ((~(v13(constB104) <=> v9(constB103))) | (~v13(constB104)) | v9(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28678,plain,
% 9.34/6.93 (v9(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28677, 28676, 28642])).
% 9.34/6.93 tff(28679,plain,
% 9.34/6.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB103)) <=> v1(constB103))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28680,plain,
% 9.34/6.93 ((~v39(constB103)) <=> v1(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28679, 129])).
% 9.34/6.93 tff(28681,plain,
% 9.34/6.93 ((~((~v39(constB103)) <=> v1(constB103))) | v39(constB103) | v1(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28682,plain,
% 9.34/6.93 ((~((~v39(constB103)) <=> v1(constB103))) | v39(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28681, 4873])).
% 9.34/6.93 tff(28683,plain,
% 9.34/6.93 (v39(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28682, 28680])).
% 9.34/6.93 tff(28684,plain,
% 9.34/6.93 ((~((~v39(constB103)) | (~v9(constB103)))) | (~v39(constB103)) | (~v9(constB103))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28685,plain,
% 9.34/6.93 ((~((~v39(constB103)) | (~v9(constB103)))) | (~v9(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28684, 28683])).
% 9.34/6.93 tff(28686,plain,
% 9.34/6.93 (~((~v39(constB103)) | (~v9(constB103)))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28685, 28678])).
% 9.34/6.93 tff(28687,plain,
% 9.34/6.93 ((~(v184(constB103) <=> (~((~v39(constB103)) | (~v9(constB103)))))) | v184(constB103) | ((~v39(constB103)) | (~v9(constB103)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28688,plain,
% 9.34/6.93 (v184(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28687, 28686, 28638])).
% 9.34/6.93 tff(28689,plain,
% 9.34/6.93 ((v184(constB103) | v26(constB103)) | (~v184(constB103))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28690,plain,
% 9.34/6.93 (v184(constB103) | v26(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28689, 28688])).
% 9.34/6.93 tff(28691,plain,
% 9.34/6.93 ((~(v183(constB103) <=> (v184(constB103) | v26(constB103)))) | v183(constB103) | (~(v184(constB103) | v26(constB103)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28692,plain,
% 9.34/6.93 (v183(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28691, 28690, 28636])).
% 9.34/6.93 tff(28693,plain,
% 9.34/6.93 ((~((~v182(constB103)) <=> v183(constB103))) | (~v182(constB103)) | (~v183(constB103))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28694,plain,
% 9.34/6.93 (~v182(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28693, 28692, 28634])).
% 9.34/6.93 tff(28695,plain,
% 9.34/6.93 (((~v157(constB103)) | (~v182(constB103))) | v182(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28696,plain,
% 9.34/6.93 ((~v157(constB103)) | (~v182(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28695, 28694])).
% 9.34/6.93 tff(28697,plain,
% 9.34/6.93 ((~(v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103)))))) | (~v181(constB103)) | (~((~v157(constB103)) | (~v182(constB103))))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28698,plain,
% 9.34/6.93 (~v181(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28697, 28696, 28632])).
% 9.34/6.93 tff(28699,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB103) <=> (~((~v186(constB103)) | (~v187(constB103)))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28700,plain,
% 9.34/6.93 (v185(constB103) <=> (~((~v186(constB103)) | (~v187(constB103))))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28699, 96])).
% 9.34/6.93 tff(28701,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB103) <=> (~((~v184(constB103)) | (~v159(constB103)))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28702,plain,
% 9.34/6.93 (v187(constB103) <=> (~((~v184(constB103)) | (~v159(constB103))))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28701, 108])).
% 9.34/6.93 tff(28703,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB103) <=> v161(constB103))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28704,plain,
% 9.34/6.93 (v159(constB103) <=> v161(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28703, 345])).
% 9.34/6.93 tff(28705,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB103) <=> (~(v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28706,plain,
% 9.34/6.93 (v139(constB103) <=> (~(v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2)))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28705, 360])).
% 9.34/6.93 tff(28707,plain,
% 9.34/6.93 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB103, bitIndex1) <=> v90(constB103, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB103, bitIndex1) <=> v90(constB103, bitIndex1)))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28708,plain,
% 9.34/6.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB103, bitIndex1) <=> v90(constB103, bitIndex1)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28709,plain,
% 9.34/6.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB103, bitIndex1) <=> v90(constB103, bitIndex1))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28708, 28707])).
% 9.34/6.93 tff(28710,plain,
% 9.34/6.93 (v88(constB103, bitIndex1) <=> v90(constB103, bitIndex1)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28709, 375, 372])).
% 9.34/6.93 tff(28711,plain,
% 9.34/6.93 ((~(v88(constB103, bitIndex1) <=> v90(constB103, bitIndex1))) | v88(constB103, bitIndex1) | (~v90(constB103, bitIndex1))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28712,plain,
% 9.34/6.93 (v88(constB103, bitIndex1)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28711, 18188, 28710])).
% 9.34/6.93 tff(28713,plain,
% 9.34/6.93 ((v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2)) | (~v88(constB103, bitIndex1))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28714,plain,
% 9.34/6.93 (v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28713, 28712])).
% 9.34/6.93 tff(28715,plain,
% 9.34/6.93 ((~(v139(constB103) <=> (~(v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2))))) | (~v139(constB103)) | (~(v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28716,plain,
% 9.34/6.93 (~v139(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28715, 28714, 28706])).
% 9.34/6.93 tff(28717,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0))))))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28718,plain,
% 9.34/6.93 ((v140(constB103) <=> (~(v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))))) <=> (v140(constB103) <=> (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0)))))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28719,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0))))))),
% 9.34/6.93 inference(monotonicity,[status(thm)],[28718])).
% 9.34/6.93 tff(28720,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0))))))),
% 9.34/6.93 inference(transitivity,[status(thm)],[28719, 28717])).
% 9.34/6.93 tff(28721,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28722,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0)))))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28721, 28720])).
% 9.34/6.93 tff(28723,plain,
% 9.34/6.93 (v140(constB103) <=> (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0))))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28722, 25795])).
% 9.34/6.93 tff(28724,plain,
% 9.34/6.93 ((v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0))) | (~v88(constB103, bitIndex1))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28725,plain,
% 9.34/6.93 (v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28724, 28712])).
% 9.34/6.93 tff(28726,plain,
% 9.34/6.93 ((~(v140(constB103) <=> (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0)))))) | (~v140(constB103)) | (~(v88(constB103, bitIndex2) | v88(constB103, bitIndex1) | (~v88(constB103, bitIndex0))))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28727,plain,
% 9.34/6.93 (~v140(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28726, 28725, 28723])).
% 9.34/6.93 tff(28728,plain,
% 9.34/6.93 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB103) | v139(constB103) | (~v168(constB103)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB103) | v139(constB103) | (~v168(constB103)))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28729,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB103) | v139(constB103) | (~v168(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28730,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB103) | v139(constB103) | (~v168(constB103))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28729, 28728])).
% 9.34/6.93 tff(28731,plain,
% 9.34/6.93 (v140(constB103) | v139(constB103) | (~v168(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28730, 25819])).
% 9.34/6.93 tff(28732,plain,
% 9.34/6.93 (~v168(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28731, 28727, 28716])).
% 9.34/6.93 tff(28733,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB103) <=> (v145(constB103) | v165(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28734,plain,
% 9.34/6.93 (v164(constB103) <=> (v145(constB103) | v165(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28733, 25834])).
% 9.34/6.93 tff(28735,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB103) <=> (v142(constB103) | v166(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28736,plain,
% 9.34/6.93 (v165(constB103) <=> (v142(constB103) | v166(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28735, 25846])).
% 9.34/6.93 tff(28737,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB103) <=> (v141(constB103) | v167(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28738,plain,
% 9.34/6.93 (v166(constB103) <=> (v141(constB103) | v167(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28737, 26362])).
% 9.34/6.93 tff(28739,plain,
% 9.34/6.93 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)))))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28740,plain,
% 9.34/6.93 (v141(constB103) <=> (~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0))))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28739, 26377])).
% 9.34/6.93 tff(28741,plain,
% 9.34/6.93 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB103, bitIndex2) <=> v90(constB103, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB103, bitIndex2) <=> v90(constB103, bitIndex2)))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28742,plain,
% 9.34/6.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB103, bitIndex2) <=> v90(constB103, bitIndex2)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28743,plain,
% 9.34/6.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB103, bitIndex2) <=> v90(constB103, bitIndex2))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28742, 28741])).
% 9.34/6.93 tff(28744,plain,
% 9.34/6.93 (v88(constB103, bitIndex2) <=> v90(constB103, bitIndex2)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28743, 648, 372])).
% 9.34/6.93 tff(28745,plain,
% 9.34/6.93 ((~(v88(constB103, bitIndex2) <=> v90(constB103, bitIndex2))) | (~v88(constB103, bitIndex2)) | v90(constB103, bitIndex2)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28746,plain,
% 9.34/6.93 (~v88(constB103, bitIndex2)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28745, 18126, 28744])).
% 9.34/6.93 tff(28747,plain,
% 9.34/6.93 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB103, bitIndex0) <=> v90(constB103, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB103, bitIndex0) <=> v90(constB103, bitIndex0)))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28748,plain,
% 9.34/6.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB103, bitIndex0) <=> v90(constB103, bitIndex0)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28749,plain,
% 9.34/6.93 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB103, bitIndex0) <=> v90(constB103, bitIndex0))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28748, 28747])).
% 9.34/6.93 tff(28750,plain,
% 9.34/6.93 (v88(constB103, bitIndex0) <=> v90(constB103, bitIndex0)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28749, 9653, 372])).
% 9.34/6.93 tff(28751,plain,
% 9.34/6.93 ((~(v88(constB103, bitIndex0) <=> v90(constB103, bitIndex0))) | v88(constB103, bitIndex0) | (~v90(constB103, bitIndex0))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28752,plain,
% 9.34/6.93 (v88(constB103, bitIndex0)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28751, 18157, 28750])).
% 9.34/6.93 tff(28753,plain,
% 9.34/6.93 ((~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)))) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28754,plain,
% 9.34/6.93 (~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28753, 28712, 28752, 28746])).
% 9.34/6.93 tff(28755,plain,
% 9.34/6.93 ((~(v141(constB103) <=> (~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)))))) | v141(constB103) | (v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28756,plain,
% 9.34/6.93 (v141(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28755, 28754, 28740])).
% 9.34/6.93 tff(28757,plain,
% 9.34/6.93 ((v141(constB103) | v167(constB103)) | (~v141(constB103))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28758,plain,
% 9.34/6.93 (v141(constB103) | v167(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28757, 28756])).
% 9.34/6.93 tff(28759,plain,
% 9.34/6.93 ((~(v166(constB103) <=> (v141(constB103) | v167(constB103)))) | v166(constB103) | (~(v141(constB103) | v167(constB103)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28760,plain,
% 9.34/6.93 (v166(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28759, 28758, 28738])).
% 9.34/6.93 tff(28761,plain,
% 9.34/6.93 ((v142(constB103) | v166(constB103)) | (~v166(constB103))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28762,plain,
% 9.34/6.93 (v142(constB103) | v166(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28761, 28760])).
% 9.34/6.93 tff(28763,plain,
% 9.34/6.93 ((~(v165(constB103) <=> (v142(constB103) | v166(constB103)))) | v165(constB103) | (~(v142(constB103) | v166(constB103)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28764,plain,
% 9.34/6.93 (v165(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28763, 28762, 28736])).
% 9.34/6.93 tff(28765,plain,
% 9.34/6.93 ((v145(constB103) | v165(constB103)) | (~v165(constB103))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28766,plain,
% 9.34/6.93 (v145(constB103) | v165(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28765, 28764])).
% 9.34/6.93 tff(28767,plain,
% 9.34/6.93 ((~(v164(constB103) <=> (v145(constB103) | v165(constB103)))) | v164(constB103) | (~(v145(constB103) | v165(constB103)))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28768,plain,
% 9.34/6.93 (v164(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28767, 28766, 28734])).
% 9.34/6.93 tff(28769,plain,
% 9.34/6.93 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB103)) | (v161(constB103) <=> v168(constB103)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB103)) | (v161(constB103) <=> v168(constB103)))),
% 9.34/6.93 inference(rewrite,[status(thm)],[])).
% 9.34/6.93 tff(28770,plain,
% 9.34/6.93 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB103)) | (v161(constB103) <=> v168(constB103)))),
% 9.34/6.93 inference(quant_inst,[status(thm)],[])).
% 9.34/6.93 tff(28771,plain,
% 9.34/6.93 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB103)) | (v161(constB103) <=> v168(constB103))),
% 9.34/6.93 inference(modus_ponens,[status(thm)],[28770, 28769])).
% 9.34/6.93 tff(28772,plain,
% 9.34/6.93 ((~v164(constB103)) | (v161(constB103) <=> v168(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28771, 25977])).
% 9.34/6.93 tff(28773,plain,
% 9.34/6.93 (v161(constB103) <=> v168(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28772, 28768])).
% 9.34/6.93 tff(28774,plain,
% 9.34/6.93 ((~(v161(constB103) <=> v168(constB103))) | (~v161(constB103)) | v168(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28775,plain,
% 9.34/6.93 (~v161(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28774, 28773, 28732])).
% 9.34/6.93 tff(28776,plain,
% 9.34/6.93 ((~(v159(constB103) <=> v161(constB103))) | (~v159(constB103)) | v161(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28777,plain,
% 9.34/6.93 ((~(v159(constB103) <=> v161(constB103))) | (~v159(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28776, 28775])).
% 9.34/6.93 tff(28778,plain,
% 9.34/6.93 (~v159(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28777, 28704])).
% 9.34/6.93 tff(28779,plain,
% 9.34/6.93 (((~v184(constB103)) | (~v159(constB103))) | v159(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28780,plain,
% 9.34/6.93 ((~v184(constB103)) | (~v159(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28779, 28778])).
% 9.34/6.93 tff(28781,plain,
% 9.34/6.93 ((~(v187(constB103) <=> (~((~v184(constB103)) | (~v159(constB103)))))) | (~v187(constB103)) | (~((~v184(constB103)) | (~v159(constB103))))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28782,plain,
% 9.34/6.93 (~v187(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28781, 28780, 28702])).
% 9.34/6.93 tff(28783,plain,
% 9.34/6.93 (((~v186(constB103)) | (~v187(constB103))) | v187(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28784,plain,
% 9.34/6.93 ((~v186(constB103)) | (~v187(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28783, 28782])).
% 9.34/6.93 tff(28785,plain,
% 9.34/6.93 ((~(v185(constB103) <=> (~((~v186(constB103)) | (~v187(constB103)))))) | (~v185(constB103)) | (~((~v186(constB103)) | (~v187(constB103))))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28786,plain,
% 9.34/6.93 (~v185(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28785, 28784, 28700])).
% 9.34/6.93 tff(28787,plain,
% 9.34/6.93 ((~(v181(constB103) | v185(constB103))) | v181(constB103) | v185(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28788,plain,
% 9.34/6.93 (~(v181(constB103) | v185(constB103))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28787, 28786, 28698])).
% 9.34/6.93 tff(28789,plain,
% 9.34/6.93 ((~(v178(constB103) <=> (v181(constB103) | v185(constB103)))) | (~v178(constB103)) | (v181(constB103) | v185(constB103))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28790,plain,
% 9.34/6.93 (~v178(constB103)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28789, 28788, 28625])).
% 9.34/6.93 tff(28791,plain,
% 9.34/6.93 ((~(v180(constB104) <=> v178(constB103))) | (~v180(constB104)) | v178(constB103)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28792,plain,
% 9.34/6.93 (~v180(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28791, 28790, 28623])).
% 9.34/6.93 tff(28793,plain,
% 9.34/6.93 ((~(v157(constB104) <=> v180(constB104))) | (~v157(constB104)) | v180(constB104)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28794,plain,
% 9.34/6.93 (~v157(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28793, 28792, 28619])).
% 9.34/6.93 tff(28795,plain,
% 9.34/6.93 (((~v157(constB104)) | (~v182(constB104))) | v157(constB104)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28796,plain,
% 9.34/6.93 ((~v157(constB104)) | (~v182(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28795, 28794])).
% 9.34/6.93 tff(28797,plain,
% 9.34/6.93 ((~(v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104)))))) | (~v181(constB104)) | (~((~v157(constB104)) | (~v182(constB104))))),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28798,plain,
% 9.34/6.93 (~v181(constB104)),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28797, 28796, 28617])).
% 9.34/6.93 tff(28799,plain,
% 9.34/6.93 ((~(v181(constB104) | v185(constB104))) | v181(constB104) | v185(constB104)),
% 9.34/6.93 inference(tautology,[status(thm)],[])).
% 9.34/6.93 tff(28800,plain,
% 9.34/6.93 (~(v181(constB104) | v185(constB104))),
% 9.34/6.93 inference(unit_resolution,[status(thm)],[28799, 28798, 28610])).
% 9.34/6.94 tff(28801,plain,
% 9.34/6.94 ((~(v178(constB104) <=> (v181(constB104) | v185(constB104)))) | (~v178(constB104)) | (v181(constB104) | v185(constB104))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28802,plain,
% 9.34/6.94 (~v178(constB104)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28801, 28800, 28585])).
% 9.34/6.94 tff(28803,plain,
% 9.34/6.94 ((~(v180(constB105) <=> v178(constB104))) | (~v180(constB105)) | v178(constB104)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28804,plain,
% 9.34/6.94 (~v180(constB105)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28803, 28802, 28583])).
% 9.34/6.94 tff(28805,plain,
% 9.34/6.94 ($false),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28804, 28579])).
% 9.34/6.94 tff(28806,plain,(~(constB105 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.94 tff(28807,assumption,(constB175 = VarCurr!0), introduced(assumption)).
% 9.34/6.94 tff(28808,plain,
% 9.34/6.94 (v180(constB175) <=> v180(VarCurr!0)),
% 9.34/6.94 inference(monotonicity,[status(thm)],[28807])).
% 9.34/6.94 tff(28809,plain,
% 9.34/6.94 (v180(VarCurr!0) <=> v180(constB175)),
% 9.34/6.94 inference(symmetry,[status(thm)],[28808])).
% 9.34/6.94 tff(28810,plain,
% 9.34/6.94 (v180(constB175)),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[59, 28809])).
% 9.34/6.94 tff(28811,plain,
% 9.34/6.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB174, constB175)) | (v180(constB175) <=> v178(constB174)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB174, constB175)) | (v180(constB175) <=> v178(constB174)))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28812,plain,
% 9.34/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB174, constB175)) | (v180(constB175) <=> v178(constB174)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28813,plain,
% 9.34/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB174, constB175)) | (v180(constB175) <=> v178(constB174))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28812, 28811])).
% 9.34/6.94 tff(28814,plain,
% 9.34/6.94 (v180(constB175) <=> v178(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28813, 1600, 70])).
% 9.34/6.94 tff(28815,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB174) <=> (v181(constB174) | v185(constB174)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28816,plain,
% 9.34/6.94 (v178(constB174) <=> (v181(constB174) | v185(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28815, 84])).
% 9.34/6.94 tff(28817,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB174) <=> (~((~v186(constB174)) | (~v187(constB174)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28818,plain,
% 9.34/6.94 (v185(constB174) <=> (~((~v186(constB174)) | (~v187(constB174))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28817, 96])).
% 9.34/6.94 tff(28819,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB174) <=> (~((~v184(constB174)) | (~v159(constB174)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28820,plain,
% 9.34/6.94 (v187(constB174) <=> (~((~v184(constB174)) | (~v159(constB174))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28819, 108])).
% 9.34/6.94 tff(28821,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28822,plain,
% 9.34/6.94 (v184(constB174) <=> (~((~v39(constB174)) | (~v9(constB174))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28821, 120])).
% 9.34/6.94 tff(28823,plain,
% 9.34/6.94 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB174)) <=> v1(constB174))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28824,plain,
% 9.34/6.94 ((~v39(constB174)) <=> v1(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28823, 129])).
% 9.34/6.94 tff(28825,plain,
% 9.34/6.94 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174)) | (~v1(constB174))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28826,plain,
% 9.34/6.94 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28825, 1662])).
% 9.34/6.94 tff(28827,plain,
% 9.34/6.94 (~v39(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28826, 28824])).
% 9.34/6.94 tff(28828,plain,
% 9.34/6.94 (((~v39(constB174)) | (~v9(constB174))) | v39(constB174)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28829,plain,
% 9.34/6.94 ((~v39(constB174)) | (~v9(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28828, 28827])).
% 9.34/6.94 tff(28830,plain,
% 9.34/6.94 ((~(v184(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v184(constB174)) | (~((~v39(constB174)) | (~v9(constB174))))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28831,plain,
% 9.34/6.94 ((~(v184(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v184(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28830, 28829])).
% 9.34/6.94 tff(28832,plain,
% 9.34/6.94 (~v184(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28831, 28822])).
% 9.34/6.94 tff(28833,plain,
% 9.34/6.94 (((~v184(constB174)) | (~v159(constB174))) | v184(constB174)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28834,plain,
% 9.34/6.94 ((~v184(constB174)) | (~v159(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28833, 28832])).
% 9.34/6.94 tff(28835,plain,
% 9.34/6.94 ((~(v187(constB174) <=> (~((~v184(constB174)) | (~v159(constB174)))))) | (~v187(constB174)) | (~((~v184(constB174)) | (~v159(constB174))))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28836,plain,
% 9.34/6.94 ((~(v187(constB174) <=> (~((~v184(constB174)) | (~v159(constB174)))))) | (~v187(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28835, 28834])).
% 9.34/6.94 tff(28837,plain,
% 9.34/6.94 (~v187(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28836, 28820])).
% 9.34/6.94 tff(28838,plain,
% 9.34/6.94 (((~v186(constB174)) | (~v187(constB174))) | v187(constB174)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28839,plain,
% 9.34/6.94 ((~v186(constB174)) | (~v187(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28838, 28837])).
% 9.34/6.94 tff(28840,plain,
% 9.34/6.94 ((~(v185(constB174) <=> (~((~v186(constB174)) | (~v187(constB174)))))) | (~v185(constB174)) | (~((~v186(constB174)) | (~v187(constB174))))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28841,plain,
% 9.34/6.94 (~v185(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28840, 28839, 28818])).
% 9.34/6.94 tff(28842,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174))))))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28843,plain,
% 9.34/6.94 ((v181(constB174) <=> (~((~v182(constB174)) | (~v157(constB174))))) <=> (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174)))))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28844,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v182(constB174)) | (~v157(constB174)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174))))))),
% 9.34/6.94 inference(monotonicity,[status(thm)],[28843])).
% 9.34/6.94 tff(28845,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v182(constB174)) | (~v157(constB174)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174))))))),
% 9.34/6.94 inference(transitivity,[status(thm)],[28844, 28842])).
% 9.34/6.94 tff(28846,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v182(constB174)) | (~v157(constB174)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28847,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174)))))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28846, 28845])).
% 9.34/6.94 tff(28848,plain,
% 9.34/6.94 (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28847, 161])).
% 9.34/6.94 tff(28849,plain,
% 9.34/6.94 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB174) <=> v180(constB174))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28850,plain,
% 9.34/6.94 (v157(constB174) <=> v180(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28849, 13])).
% 9.34/6.94 tff(28851,plain,
% 9.34/6.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB173, constB174)) | (v180(constB174) <=> v178(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB173, constB174)) | (v180(constB174) <=> v178(constB173)))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28852,plain,
% 9.34/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB173, constB174)) | (v180(constB174) <=> v178(constB173)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28853,plain,
% 9.34/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB173, constB174)) | (v180(constB174) <=> v178(constB173))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28852, 28851])).
% 9.34/6.94 tff(28854,plain,
% 9.34/6.94 (v180(constB174) <=> v178(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28853, 1632, 70])).
% 9.34/6.94 tff(28855,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB173) <=> (v181(constB173) | v185(constB173)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28856,plain,
% 9.34/6.94 (v178(constB173) <=> (v181(constB173) | v185(constB173))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28855, 84])).
% 9.34/6.94 tff(28857,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173))))))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28858,plain,
% 9.34/6.94 ((v181(constB173) <=> (~((~v182(constB173)) | (~v157(constB173))))) <=> (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173)))))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28859,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v182(constB173)) | (~v157(constB173)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173))))))),
% 9.34/6.94 inference(monotonicity,[status(thm)],[28858])).
% 9.34/6.94 tff(28860,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v182(constB173)) | (~v157(constB173)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173))))))),
% 9.34/6.94 inference(transitivity,[status(thm)],[28859, 28857])).
% 9.34/6.94 tff(28861,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v182(constB173)) | (~v157(constB173)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28862,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173)))))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 9.34/6.94 tff(28863,plain,
% 9.34/6.94 (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28862, 161])).
% 9.34/6.94 tff(28864,plain,
% 9.34/6.94 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB173)) <=> v183(constB173))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28865,plain,
% 9.34/6.94 ((~v182(constB173)) <=> v183(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28864, 193])).
% 9.34/6.94 tff(28866,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB173) <=> (v184(constB173) | v26(constB173)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28867,plain,
% 9.34/6.94 (v183(constB173) <=> (v184(constB173) | v26(constB173))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28866, 202])).
% 9.34/6.94 tff(28868,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB173) <=> (~((~v39(constB173)) | (~v9(constB173)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28869,plain,
% 9.34/6.94 (v184(constB173) <=> (~((~v39(constB173)) | (~v9(constB173))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28868, 120])).
% 9.34/6.94 tff(28870,plain,
% 9.34/6.94 (((~![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)))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28871,plain,
% 9.34/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28872,plain,
% 9.34/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28871, 28870])).
% 9.34/6.94 tff(28873,plain,
% 9.34/6.94 (v13(constB174) <=> v9(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28872, 1632, 216])).
% 9.34/6.94 tff(28874,plain,
% 9.34/6.94 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB174) <=> v13(constB174))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28875,plain,
% 9.34/6.94 (v6(constB174) <=> v13(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28874, 230])).
% 9.34/6.94 tff(28876,plain,
% 9.34/6.94 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB174)) <=> v6(constB174))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28877,plain,
% 9.34/6.94 ((~v21(constB174)) <=> v6(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28876, 239])).
% 9.34/6.94 tff(28878,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB174) <=> (v20(constB174) | v21(constB174)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28879,plain,
% 9.34/6.94 (v19(constB174) <=> (v20(constB174) | v21(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28878, 248])).
% 9.34/6.94 tff(28880,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28881,plain,
% 9.34/6.94 (v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28880, 260])).
% 9.34/6.94 tff(28882,plain,
% 9.34/6.94 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB174)) <=> v18(constB174))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28883,plain,
% 9.34/6.94 ((~v4(constB174)) <=> v18(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28882, 269])).
% 9.34/6.94 tff(28884,plain,
% 9.34/6.94 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB174)),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28885,plain,
% 9.34/6.94 (v4(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28884, 278])).
% 9.34/6.94 tff(28886,plain,
% 9.34/6.94 ((~((~v4(constB174)) <=> v18(constB174))) | (~v4(constB174)) | (~v18(constB174))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28887,plain,
% 9.34/6.94 (~v18(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28886, 28885, 28883])).
% 9.34/6.94 tff(28888,plain,
% 9.34/6.94 ((~(v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174)))))) | v18(constB174) | ((~v19(constB174)) | (~v22(constB174)))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28889,plain,
% 9.34/6.94 ((~v19(constB174)) | (~v22(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28888, 28887, 28881])).
% 9.34/6.94 tff(28890,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB174) <=> (v1(constB174) | v6(constB174)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28891,plain,
% 9.34/6.94 (v22(constB174) <=> (v1(constB174) | v6(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28890, 291])).
% 9.34/6.94 tff(28892,plain,
% 9.34/6.94 ((v1(constB174) | v6(constB174)) | (~v1(constB174))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28893,plain,
% 9.34/6.94 (v1(constB174) | v6(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28892, 1662])).
% 9.34/6.94 tff(28894,plain,
% 9.34/6.94 ((~(v22(constB174) <=> (v1(constB174) | v6(constB174)))) | v22(constB174) | (~(v1(constB174) | v6(constB174)))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28895,plain,
% 9.34/6.94 ((~(v22(constB174) <=> (v1(constB174) | v6(constB174)))) | v22(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28894, 28893])).
% 9.34/6.94 tff(28896,plain,
% 9.34/6.94 (v22(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28895, 28891])).
% 9.34/6.94 tff(28897,plain,
% 9.34/6.94 ((~((~v19(constB174)) | (~v22(constB174)))) | (~v19(constB174)) | (~v22(constB174))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28898,plain,
% 9.34/6.94 ((~((~v19(constB174)) | (~v22(constB174)))) | (~v19(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28897, 28896])).
% 9.34/6.94 tff(28899,plain,
% 9.34/6.94 (~v19(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28898, 28889])).
% 9.34/6.94 tff(28900,plain,
% 9.34/6.94 ((~(v19(constB174) <=> (v20(constB174) | v21(constB174)))) | v19(constB174) | (~(v20(constB174) | v21(constB174)))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28901,plain,
% 9.34/6.94 (~(v20(constB174) | v21(constB174))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28900, 28899, 28879])).
% 9.34/6.94 tff(28902,plain,
% 9.34/6.94 ((v20(constB174) | v21(constB174)) | (~v21(constB174))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28903,plain,
% 9.34/6.94 (~v21(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28902, 28901])).
% 9.34/6.94 tff(28904,plain,
% 9.34/6.94 ((~((~v21(constB174)) <=> v6(constB174))) | v21(constB174) | v6(constB174)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28905,plain,
% 9.34/6.94 (v6(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28904, 28903, 28877])).
% 9.34/6.94 tff(28906,plain,
% 9.34/6.94 ((~(v6(constB174) <=> v13(constB174))) | (~v6(constB174)) | v13(constB174)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28907,plain,
% 9.34/6.94 (v13(constB174)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28906, 28905, 28875])).
% 9.34/6.94 tff(28908,plain,
% 9.34/6.94 ((~(v13(constB174) <=> v9(constB173))) | (~v13(constB174)) | v9(constB173)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28909,plain,
% 9.34/6.94 (v9(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28908, 28907, 28873])).
% 9.34/6.94 tff(28910,plain,
% 9.34/6.94 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB173)) <=> v1(constB173))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28911,plain,
% 9.34/6.94 ((~v39(constB173)) <=> v1(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28910, 129])).
% 9.34/6.94 tff(28912,plain,
% 9.34/6.94 ((~((~v39(constB173)) <=> v1(constB173))) | v39(constB173) | v1(constB173)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28913,plain,
% 9.34/6.94 ((~((~v39(constB173)) <=> v1(constB173))) | v39(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28912, 1654])).
% 9.34/6.94 tff(28914,plain,
% 9.34/6.94 (v39(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28913, 28911])).
% 9.34/6.94 tff(28915,plain,
% 9.34/6.94 ((~((~v39(constB173)) | (~v9(constB173)))) | (~v39(constB173)) | (~v9(constB173))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28916,plain,
% 9.34/6.94 ((~((~v39(constB173)) | (~v9(constB173)))) | (~v9(constB173))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28915, 28914])).
% 9.34/6.94 tff(28917,plain,
% 9.34/6.94 (~((~v39(constB173)) | (~v9(constB173)))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28916, 28909])).
% 9.34/6.94 tff(28918,plain,
% 9.34/6.94 ((~(v184(constB173) <=> (~((~v39(constB173)) | (~v9(constB173)))))) | v184(constB173) | ((~v39(constB173)) | (~v9(constB173)))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28919,plain,
% 9.34/6.94 (v184(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28918, 28917, 28869])).
% 9.34/6.94 tff(28920,plain,
% 9.34/6.94 ((v184(constB173) | v26(constB173)) | (~v184(constB173))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28921,plain,
% 9.34/6.94 (v184(constB173) | v26(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28920, 28919])).
% 9.34/6.94 tff(28922,plain,
% 9.34/6.94 ((~(v183(constB173) <=> (v184(constB173) | v26(constB173)))) | v183(constB173) | (~(v184(constB173) | v26(constB173)))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28923,plain,
% 9.34/6.94 (v183(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28922, 28921, 28867])).
% 9.34/6.94 tff(28924,plain,
% 9.34/6.94 ((~((~v182(constB173)) <=> v183(constB173))) | (~v182(constB173)) | (~v183(constB173))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28925,plain,
% 9.34/6.94 (~v182(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28924, 28923, 28865])).
% 9.34/6.94 tff(28926,plain,
% 9.34/6.94 (((~v157(constB173)) | (~v182(constB173))) | v182(constB173)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28927,plain,
% 9.34/6.94 ((~v157(constB173)) | (~v182(constB173))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28926, 28925])).
% 9.34/6.94 tff(28928,plain,
% 9.34/6.94 ((~(v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173)))))) | (~v181(constB173)) | (~((~v157(constB173)) | (~v182(constB173))))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28929,plain,
% 9.34/6.94 (~v181(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28928, 28927, 28863])).
% 9.34/6.94 tff(28930,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB173) <=> (~((~v186(constB173)) | (~v187(constB173)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28931,plain,
% 9.34/6.94 (v185(constB173) <=> (~((~v186(constB173)) | (~v187(constB173))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28930, 96])).
% 9.34/6.94 tff(28932,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB173) <=> (~((~v184(constB173)) | (~v159(constB173)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28933,plain,
% 9.34/6.94 (v187(constB173) <=> (~((~v184(constB173)) | (~v159(constB173))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28932, 108])).
% 9.34/6.94 tff(28934,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB173) <=> v161(constB173))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28935,plain,
% 9.34/6.94 (v159(constB173) <=> v161(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28934, 345])).
% 9.34/6.94 tff(28936,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28937,plain,
% 9.34/6.94 (v139(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2)))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28936, 360])).
% 9.34/6.94 tff(28938,plain,
% 9.34/6.94 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB173, bitIndex1) <=> v90(constB173, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB173, bitIndex1) <=> v90(constB173, bitIndex1)))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28939,plain,
% 9.34/6.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB173, bitIndex1) <=> v90(constB173, bitIndex1)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28940,plain,
% 9.34/6.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB173, bitIndex1) <=> v90(constB173, bitIndex1))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28939, 28938])).
% 9.34/6.94 tff(28941,plain,
% 9.34/6.94 (v88(constB173, bitIndex1) <=> v90(constB173, bitIndex1)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28940, 375, 372])).
% 9.34/6.94 tff(28942,plain,
% 9.34/6.94 ((~(v88(constB173, bitIndex1) <=> v90(constB173, bitIndex1))) | v88(constB173, bitIndex1) | (~v90(constB173, bitIndex1))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28943,plain,
% 9.34/6.94 (v88(constB173, bitIndex1)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28942, 23886, 28941])).
% 9.34/6.94 tff(28944,plain,
% 9.34/6.94 ((v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2)) | (~v88(constB173, bitIndex1))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28945,plain,
% 9.34/6.94 (v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28944, 28943])).
% 9.34/6.94 tff(28946,plain,
% 9.34/6.94 ((~(v139(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2))))) | (~v139(constB173)) | (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2)))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28947,plain,
% 9.34/6.94 (~v139(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28946, 28945, 28937])).
% 9.34/6.94 tff(28948,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0))))))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28949,plain,
% 9.34/6.94 ((v140(constB173) <=> (~(v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0))))) <=> (v140(constB173) <=> (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0)))))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28950,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0))))))),
% 9.34/6.94 inference(monotonicity,[status(thm)],[28949])).
% 9.34/6.94 tff(28951,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0))))))),
% 9.34/6.94 inference(transitivity,[status(thm)],[28950, 28948])).
% 9.34/6.94 tff(28952,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28953,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0)))))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 9.34/6.94 tff(28954,plain,
% 9.34/6.94 (v140(constB173) <=> (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0))))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28953, 25795])).
% 9.34/6.94 tff(28955,plain,
% 9.34/6.94 ((v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0))) | (~v88(constB173, bitIndex1))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28956,plain,
% 9.34/6.94 (v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28955, 28943])).
% 9.34/6.94 tff(28957,plain,
% 9.34/6.94 ((~(v140(constB173) <=> (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0)))))) | (~v140(constB173)) | (~(v88(constB173, bitIndex2) | v88(constB173, bitIndex1) | (~v88(constB173, bitIndex0))))),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28958,plain,
% 9.34/6.94 (~v140(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28957, 28956, 28954])).
% 9.34/6.94 tff(28959,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB173) | v139(constB173) | (~v168(constB173)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB173) | v139(constB173) | (~v168(constB173)))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28960,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB173) | v139(constB173) | (~v168(constB173)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28961,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB173) | v139(constB173) | (~v168(constB173))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28960, 28959])).
% 9.34/6.94 tff(28962,plain,
% 9.34/6.94 (v140(constB173) | v139(constB173) | (~v168(constB173))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28961, 25819])).
% 9.34/6.94 tff(28963,plain,
% 9.34/6.94 (~v168(constB173)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28962, 28958, 28947])).
% 9.34/6.94 tff(28964,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB173) <=> (v145(constB173) | v165(constB173)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28965,plain,
% 9.34/6.94 (v164(constB173) <=> (v145(constB173) | v165(constB173))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28964, 25834])).
% 9.34/6.94 tff(28966,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB173) <=> (v142(constB173) | v166(constB173)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28967,plain,
% 9.34/6.94 (v165(constB173) <=> (v142(constB173) | v166(constB173))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28966, 25846])).
% 9.34/6.94 tff(28968,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB173) <=> (v143(constB173) | v144(constB173)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28969,plain,
% 9.34/6.94 (v142(constB173) <=> (v143(constB173) | v144(constB173))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28968, 25855])).
% 9.34/6.94 tff(28970,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0)))))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28971,plain,
% 9.34/6.94 ((v143(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1))))) <=> (v143(constB173) <=> (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0))))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28972,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0)))))),
% 9.34/6.94 inference(monotonicity,[status(thm)],[28971])).
% 9.34/6.94 tff(28973,plain,
% 9.34/6.94 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0)))))),
% 9.34/6.94 inference(transitivity,[status(thm)],[28972, 28970])).
% 9.34/6.94 tff(28974,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)))))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28975,plain,
% 9.34/6.94 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0))))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 9.34/6.94 tff(28976,plain,
% 9.34/6.94 (v143(constB173) <=> (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0)))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28975, 25870])).
% 9.34/6.94 tff(28977,plain,
% 9.34/6.94 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB173, bitIndex2) <=> v90(constB173, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB173, bitIndex2) <=> v90(constB173, bitIndex2)))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28978,plain,
% 9.34/6.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB173, bitIndex2) <=> v90(constB173, bitIndex2)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28979,plain,
% 9.34/6.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB173, bitIndex2) <=> v90(constB173, bitIndex2))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 9.34/6.94 tff(28980,plain,
% 9.34/6.94 (v88(constB173, bitIndex2) <=> v90(constB173, bitIndex2)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28979, 648, 372])).
% 9.34/6.94 tff(28981,plain,
% 9.34/6.94 ((~(v88(constB173, bitIndex2) <=> v90(constB173, bitIndex2))) | (~v88(constB173, bitIndex2)) | v90(constB173, bitIndex2)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28982,plain,
% 9.34/6.94 (~v88(constB173, bitIndex2)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28981, 23824, 28980])).
% 9.34/6.94 tff(28983,plain,
% 9.34/6.94 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB173, bitIndex0) <=> v90(constB173, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB173, bitIndex0) <=> v90(constB173, bitIndex0)))),
% 9.34/6.94 inference(rewrite,[status(thm)],[])).
% 9.34/6.94 tff(28984,plain,
% 9.34/6.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB173, bitIndex0) <=> v90(constB173, bitIndex0)))),
% 9.34/6.94 inference(quant_inst,[status(thm)],[])).
% 9.34/6.94 tff(28985,plain,
% 9.34/6.94 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB173, bitIndex0) <=> v90(constB173, bitIndex0))),
% 9.34/6.94 inference(modus_ponens,[status(thm)],[28984, 28983])).
% 9.34/6.94 tff(28986,plain,
% 9.34/6.94 (v88(constB173, bitIndex0) <=> v90(constB173, bitIndex0)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28985, 9653, 372])).
% 9.34/6.94 tff(28987,plain,
% 9.34/6.94 ((~(v88(constB173, bitIndex0) <=> v90(constB173, bitIndex0))) | (~v88(constB173, bitIndex0)) | v90(constB173, bitIndex0)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28988,plain,
% 9.34/6.94 (~v88(constB173, bitIndex0)),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28987, 23855, 28986])).
% 9.34/6.94 tff(28989,plain,
% 9.34/6.94 ((~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0))) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0)),
% 9.34/6.94 inference(tautology,[status(thm)],[])).
% 9.34/6.94 tff(28990,plain,
% 9.34/6.94 (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0))),
% 9.34/6.94 inference(unit_resolution,[status(thm)],[28989, 28943, 28988, 28982])).
% 9.34/6.95 tff(28991,plain,
% 9.34/6.95 ((~(v143(constB173) <=> (~(v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0))))) | v143(constB173) | (v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex0))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(28992,plain,
% 9.34/6.95 (v143(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[28991, 28990, 28976])).
% 9.34/6.95 tff(28993,plain,
% 9.34/6.95 ((v143(constB173) | v144(constB173)) | (~v143(constB173))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(28994,plain,
% 9.34/6.95 (v143(constB173) | v144(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[28993, 28992])).
% 9.34/6.95 tff(28995,plain,
% 9.34/6.95 ((~(v142(constB173) <=> (v143(constB173) | v144(constB173)))) | v142(constB173) | (~(v143(constB173) | v144(constB173)))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(28996,plain,
% 9.34/6.95 (v142(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[28995, 28994, 28969])).
% 9.34/6.95 tff(28997,plain,
% 9.34/6.95 ((v142(constB173) | v166(constB173)) | (~v142(constB173))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(28998,plain,
% 9.34/6.95 (v142(constB173) | v166(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[28997, 28996])).
% 9.34/6.95 tff(28999,plain,
% 9.34/6.95 ((~(v165(constB173) <=> (v142(constB173) | v166(constB173)))) | v165(constB173) | (~(v142(constB173) | v166(constB173)))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29000,plain,
% 9.34/6.95 (v165(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[28999, 28998, 28967])).
% 9.34/6.95 tff(29001,plain,
% 9.34/6.95 ((v145(constB173) | v165(constB173)) | (~v165(constB173))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29002,plain,
% 9.34/6.95 (v145(constB173) | v165(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29001, 29000])).
% 9.34/6.95 tff(29003,plain,
% 9.34/6.95 ((~(v164(constB173) <=> (v145(constB173) | v165(constB173)))) | v164(constB173) | (~(v145(constB173) | v165(constB173)))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29004,plain,
% 9.34/6.95 (v164(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29003, 29002, 28965])).
% 9.34/6.95 tff(29005,plain,
% 9.34/6.95 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB173)) | (v161(constB173) <=> v168(constB173)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB173)) | (v161(constB173) <=> v168(constB173)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29006,plain,
% 9.34/6.95 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB173)) | (v161(constB173) <=> v168(constB173)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29007,plain,
% 9.34/6.95 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB173)) | (v161(constB173) <=> v168(constB173))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29006, 29005])).
% 9.34/6.95 tff(29008,plain,
% 9.34/6.95 ((~v164(constB173)) | (v161(constB173) <=> v168(constB173))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29007, 25977])).
% 9.34/6.95 tff(29009,plain,
% 9.34/6.95 (v161(constB173) <=> v168(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29008, 29004])).
% 9.34/6.95 tff(29010,plain,
% 9.34/6.95 ((~(v161(constB173) <=> v168(constB173))) | (~v161(constB173)) | v168(constB173)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29011,plain,
% 9.34/6.95 (~v161(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29010, 29009, 28963])).
% 9.34/6.95 tff(29012,plain,
% 9.34/6.95 ((~(v159(constB173) <=> v161(constB173))) | (~v159(constB173)) | v161(constB173)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29013,plain,
% 9.34/6.95 ((~(v159(constB173) <=> v161(constB173))) | (~v159(constB173))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29012, 29011])).
% 9.34/6.95 tff(29014,plain,
% 9.34/6.95 (~v159(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29013, 28935])).
% 9.34/6.95 tff(29015,plain,
% 9.34/6.95 (((~v184(constB173)) | (~v159(constB173))) | v159(constB173)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29016,plain,
% 9.34/6.95 ((~v184(constB173)) | (~v159(constB173))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29015, 29014])).
% 9.34/6.95 tff(29017,plain,
% 9.34/6.95 ((~(v187(constB173) <=> (~((~v184(constB173)) | (~v159(constB173)))))) | (~v187(constB173)) | (~((~v184(constB173)) | (~v159(constB173))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29018,plain,
% 9.34/6.95 (~v187(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29017, 29016, 28933])).
% 9.34/6.95 tff(29019,plain,
% 9.34/6.95 (((~v186(constB173)) | (~v187(constB173))) | v187(constB173)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29020,plain,
% 9.34/6.95 ((~v186(constB173)) | (~v187(constB173))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29019, 29018])).
% 9.34/6.95 tff(29021,plain,
% 9.34/6.95 ((~(v185(constB173) <=> (~((~v186(constB173)) | (~v187(constB173)))))) | (~v185(constB173)) | (~((~v186(constB173)) | (~v187(constB173))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29022,plain,
% 9.34/6.95 (~v185(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29021, 29020, 28931])).
% 9.34/6.95 tff(29023,plain,
% 9.34/6.95 ((~(v181(constB173) | v185(constB173))) | v181(constB173) | v185(constB173)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29024,plain,
% 9.34/6.95 (~(v181(constB173) | v185(constB173))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29023, 29022, 28929])).
% 9.34/6.95 tff(29025,plain,
% 9.34/6.95 ((~(v178(constB173) <=> (v181(constB173) | v185(constB173)))) | (~v178(constB173)) | (v181(constB173) | v185(constB173))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29026,plain,
% 9.34/6.95 (~v178(constB173)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29025, 29024, 28856])).
% 9.34/6.95 tff(29027,plain,
% 9.34/6.95 ((~(v180(constB174) <=> v178(constB173))) | (~v180(constB174)) | v178(constB173)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29028,plain,
% 9.34/6.95 (~v180(constB174)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29027, 29026, 28854])).
% 9.34/6.95 tff(29029,plain,
% 9.34/6.95 ((~(v157(constB174) <=> v180(constB174))) | (~v157(constB174)) | v180(constB174)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29030,plain,
% 9.34/6.95 (~v157(constB174)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29029, 29028, 28850])).
% 9.34/6.95 tff(29031,plain,
% 9.34/6.95 (((~v157(constB174)) | (~v182(constB174))) | v157(constB174)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29032,plain,
% 9.34/6.95 ((~v157(constB174)) | (~v182(constB174))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29031, 29030])).
% 9.34/6.95 tff(29033,plain,
% 9.34/6.95 ((~(v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174)))))) | (~v181(constB174)) | (~((~v157(constB174)) | (~v182(constB174))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29034,plain,
% 9.34/6.95 (~v181(constB174)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29033, 29032, 28848])).
% 9.34/6.95 tff(29035,plain,
% 9.34/6.95 ((~(v181(constB174) | v185(constB174))) | v181(constB174) | v185(constB174)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29036,plain,
% 9.34/6.95 (~(v181(constB174) | v185(constB174))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29035, 29034, 28841])).
% 9.34/6.95 tff(29037,plain,
% 9.34/6.95 ((~(v178(constB174) <=> (v181(constB174) | v185(constB174)))) | (~v178(constB174)) | (v181(constB174) | v185(constB174))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29038,plain,
% 9.34/6.95 (~v178(constB174)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29037, 29036, 28816])).
% 9.34/6.95 tff(29039,plain,
% 9.34/6.95 ((~(v180(constB175) <=> v178(constB174))) | (~v180(constB175)) | v178(constB174)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29040,plain,
% 9.34/6.95 (~v180(constB175)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29039, 29038, 28814])).
% 9.34/6.95 tff(29041,plain,
% 9.34/6.95 ($false),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29040, 28810])).
% 9.34/6.95 tff(29042,plain,(~(constB175 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.95 tff(29043,assumption,(constB49 = VarCurr!0), introduced(assumption)).
% 9.34/6.95 tff(29044,plain,
% 9.34/6.95 (v86(constB49) <=> v86(VarCurr!0)),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29043])).
% 9.34/6.95 tff(29045,plain,
% 9.34/6.95 (v86(VarCurr!0) <=> v86(constB49)),
% 9.34/6.95 inference(symmetry,[status(thm)],[29044])).
% 9.34/6.95 tff(29046,plain,
% 9.34/6.95 ((~v86(VarCurr!0)) <=> (~v86(constB49))),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29045])).
% 9.34/6.95 tff(29047,plain,
% 9.34/6.95 (~v86(constB49)),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[26079, 29046])).
% 9.34/6.95 tff(29048,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB49) <=> (v143(constB49) | v144(constB49)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29049,plain,
% 9.34/6.95 (v142(constB49) <=> (v143(constB49) | v144(constB49))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29048, 25855])).
% 9.34/6.95 tff(29050,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29051,plain,
% 9.34/6.95 ((v144(constB49) <=> (~(v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2))))) <=> (v144(constB49) <=> (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29052,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~(v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)))))),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29051])).
% 9.34/6.95 tff(29053,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~(v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)))))),
% 9.34/6.95 inference(transitivity,[status(thm)],[29052, 29050])).
% 9.34/6.95 tff(29054,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~(v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)))))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29055,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29054, 29053])).
% 9.34/6.95 tff(29056,plain,
% 9.34/6.95 (v144(constB49) <=> (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29055, 26095])).
% 9.34/6.95 tff(29057,plain,
% 9.34/6.95 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29058,plain,
% 9.34/6.95 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29059,plain,
% 9.34/6.95 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29058, 29057])).
% 9.34/6.95 tff(29060,plain,
% 9.34/6.95 (v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29059, 648, 372])).
% 9.34/6.95 tff(29061,plain,
% 9.34/6.95 ((~(v88(constB49, bitIndex2) <=> v90(constB49, bitIndex2))) | v88(constB49, bitIndex2) | (~v90(constB49, bitIndex2))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29062,plain,
% 9.34/6.95 (v88(constB49, bitIndex2)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29061, 13696, 29060])).
% 9.34/6.95 tff(29063,plain,
% 9.34/6.95 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29064,plain,
% 9.34/6.95 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29065,plain,
% 9.34/6.95 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29064, 29063])).
% 9.34/6.95 tff(29066,plain,
% 9.34/6.95 (v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29065, 9653, 372])).
% 9.34/6.95 tff(29067,plain,
% 9.34/6.95 ((~(v88(constB49, bitIndex0) <=> v90(constB49, bitIndex0))) | (~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29068,plain,
% 9.34/6.95 (~v88(constB49, bitIndex0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29067, 13727, 29066])).
% 9.34/6.95 tff(29069,plain,
% 9.34/6.95 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29070,plain,
% 9.34/6.95 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29071,plain,
% 9.34/6.95 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29070, 29069])).
% 9.34/6.95 tff(29072,plain,
% 9.34/6.95 (v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29071, 375, 372])).
% 9.34/6.95 tff(29073,plain,
% 9.34/6.95 ((~(v88(constB49, bitIndex1) <=> v90(constB49, bitIndex1))) | v88(constB49, bitIndex1) | (~v90(constB49, bitIndex1))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29074,plain,
% 9.34/6.95 (v88(constB49, bitIndex1)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29073, 13758, 29072])).
% 9.34/6.95 tff(29075,plain,
% 9.34/6.95 ((~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29076,plain,
% 9.34/6.95 (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29075, 29074, 29068, 29062])).
% 9.34/6.95 tff(29077,plain,
% 9.34/6.95 ((~(v144(constB49) <=> (~((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))))) | v144(constB49) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29078,plain,
% 9.34/6.95 (v144(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29077, 29076, 29056])).
% 9.34/6.95 tff(29079,plain,
% 9.34/6.95 ((v143(constB49) | v144(constB49)) | (~v144(constB49))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29080,plain,
% 9.34/6.95 (v143(constB49) | v144(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29079, 29078])).
% 9.34/6.95 tff(29081,plain,
% 9.34/6.95 ((~(v142(constB49) <=> (v143(constB49) | v144(constB49)))) | v142(constB49) | (~(v143(constB49) | v144(constB49)))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29082,plain,
% 9.34/6.95 (v142(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29081, 29080, 29049])).
% 9.34/6.95 tff(29083,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29084,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29085,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29084, 29083])).
% 9.34/6.95 tff(29086,plain,
% 9.34/6.95 (v148(constB49) | (~v142(constB49))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29085, 26138])).
% 9.34/6.95 tff(29087,plain,
% 9.34/6.95 (v148(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29086, 29082])).
% 9.34/6.95 tff(29088,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB49) <=> (v136(constB49) | v145(constB49)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29089,plain,
% 9.34/6.95 (v135(constB49) <=> (v136(constB49) | v145(constB49))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29088, 26150])).
% 9.34/6.95 tff(29090,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB49) <=> (v137(constB49) | v142(constB49)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29091,plain,
% 9.34/6.95 (v136(constB49) <=> (v137(constB49) | v142(constB49))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29090, 26159])).
% 9.34/6.95 tff(29092,plain,
% 9.34/6.95 ((v137(constB49) | v142(constB49)) | (~v142(constB49))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29093,plain,
% 9.34/6.95 (v137(constB49) | v142(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29092, 29082])).
% 9.34/6.95 tff(29094,plain,
% 9.34/6.95 ((~(v136(constB49) <=> (v137(constB49) | v142(constB49)))) | v136(constB49) | (~(v137(constB49) | v142(constB49)))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29095,plain,
% 9.34/6.95 (v136(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29094, 29093, 29091])).
% 9.34/6.95 tff(29096,plain,
% 9.34/6.95 ((v136(constB49) | v145(constB49)) | (~v136(constB49))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29097,plain,
% 9.34/6.95 (v136(constB49) | v145(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29096, 29095])).
% 9.34/6.95 tff(29098,plain,
% 9.34/6.95 ((~(v135(constB49) <=> (v136(constB49) | v145(constB49)))) | v135(constB49) | (~(v136(constB49) | v145(constB49)))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29099,plain,
% 9.34/6.95 (v135(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29098, 29097, 29089])).
% 9.34/6.95 tff(29100,plain,
% 9.34/6.95 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB49)) | (v86(constB49) <=> v148(constB49)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB49)) | (v86(constB49) <=> v148(constB49)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29101,plain,
% 9.34/6.95 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB49)) | (v86(constB49) <=> v148(constB49)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29102,plain,
% 9.34/6.95 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB49)) | (v86(constB49) <=> v148(constB49))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29101, 29100])).
% 9.34/6.95 tff(29103,plain,
% 9.34/6.95 ((~v135(constB49)) | (v86(constB49) <=> v148(constB49))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29102, 26179])).
% 9.34/6.95 tff(29104,plain,
% 9.34/6.95 (v86(constB49) <=> v148(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29103, 29099])).
% 9.34/6.95 tff(29105,plain,
% 9.34/6.95 ((~(v86(constB49) <=> v148(constB49))) | v86(constB49) | (~v148(constB49))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29106,plain,
% 9.34/6.95 (v86(constB49)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29105, 29104, 29087])).
% 9.34/6.95 tff(29107,plain,
% 9.34/6.95 ($false),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29106, 29047])).
% 9.34/6.95 tff(29108,plain,(~(constB49 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.95 tff(29109,assumption,(constB1 = VarCurr!0), introduced(assumption)).
% 9.34/6.95 tff(29110,plain,
% 9.34/6.95 (v180(constB1) <=> v180(VarCurr!0)),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29109])).
% 9.34/6.95 tff(29111,plain,
% 9.34/6.95 (v180(VarCurr!0) <=> v180(constB1)),
% 9.34/6.95 inference(symmetry,[status(thm)],[29110])).
% 9.34/6.95 tff(29112,plain,
% 9.34/6.95 (v180(constB1)),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[59, 29111])).
% 9.34/6.95 tff(29113,plain,
% 9.34/6.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29114,plain,
% 9.34/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29115,plain,
% 9.34/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29114, 29113])).
% 9.34/6.95 tff(29116,plain,
% 9.34/6.95 (v180(constB1) <=> v178(constB0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29115, 9625, 70])).
% 9.34/6.95 tff(29117,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB0) <=> (v181(constB0) | v185(constB0)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29118,plain,
% 9.34/6.95 (v178(constB0) <=> (v181(constB0) | v185(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29117, 84])).
% 9.34/6.95 tff(29119,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29120,plain,
% 9.34/6.95 (v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0))))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29119, 96])).
% 9.34/6.95 tff(29121,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0))))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29122,plain,
% 9.34/6.95 ((v187(constB0) <=> (~((~v184(constB0)) | (~v159(constB0))))) <=> (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29123,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v159(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0))))))),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29122])).
% 9.34/6.95 tff(29124,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v159(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0))))))),
% 9.34/6.95 inference(transitivity,[status(thm)],[29123, 29121])).
% 9.34/6.95 tff(29125,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v159(constB0)))))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29126,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29125, 29124])).
% 9.34/6.95 tff(29127,plain,
% 9.34/6.95 (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0))))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29126, 108])).
% 9.34/6.95 tff(29128,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB0) <=> v161(constB0))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29129,plain,
% 9.34/6.95 (v159(constB0) <=> v161(constB0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29128, 345])).
% 9.34/6.95 tff(29130,plain,
% 9.34/6.95 ((~v161(constB0)) <=> (~v161(constB0))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29131,axiom,(~v161(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_6')).
% 9.34/6.95 tff(29132,plain,
% 9.34/6.95 (~v161(constB0)),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 9.34/6.95 tff(29133,plain,
% 9.34/6.95 ((~(v159(constB0) <=> v161(constB0))) | (~v159(constB0)) | v161(constB0)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29134,plain,
% 9.34/6.95 ((~(v159(constB0) <=> v161(constB0))) | (~v159(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29133, 29132])).
% 9.34/6.95 tff(29135,plain,
% 9.34/6.95 (~v159(constB0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29134, 29129])).
% 9.34/6.95 tff(29136,plain,
% 9.34/6.95 (((~v159(constB0)) | (~v184(constB0))) | v159(constB0)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29137,plain,
% 9.34/6.95 ((~v159(constB0)) | (~v184(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29136, 29135])).
% 9.34/6.95 tff(29138,plain,
% 9.34/6.95 ((~(v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))) | (~v187(constB0)) | (~((~v159(constB0)) | (~v184(constB0))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29139,plain,
% 9.34/6.95 ((~(v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))) | (~v187(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29138, 29137])).
% 9.34/6.95 tff(29140,plain,
% 9.34/6.95 (~v187(constB0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29139, 29127])).
% 9.34/6.95 tff(29141,plain,
% 9.34/6.95 (((~v186(constB0)) | (~v187(constB0))) | v187(constB0)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29142,plain,
% 9.34/6.95 ((~v186(constB0)) | (~v187(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29141, 29140])).
% 9.34/6.95 tff(29143,plain,
% 9.34/6.95 ((~(v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))) | (~v185(constB0)) | (~((~v186(constB0)) | (~v187(constB0))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29144,plain,
% 9.34/6.95 ((~(v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))) | (~v185(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29143, 29142])).
% 9.34/6.95 tff(29145,plain,
% 9.34/6.95 (~v185(constB0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29144, 29120])).
% 9.34/6.95 tff(29146,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0))))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29147,plain,
% 9.34/6.95 ((v181(constB0) <=> (~((~v182(constB0)) | (~v157(constB0))))) <=> (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29148,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0))))))),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29147])).
% 9.34/6.95 tff(29149,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0))))))),
% 9.34/6.95 inference(transitivity,[status(thm)],[29148, 29146])).
% 9.34/6.95 tff(29150,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v157(constB0)))))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29151,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29150, 29149])).
% 9.34/6.95 tff(29152,plain,
% 9.34/6.95 (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0))))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29151, 161])).
% 9.34/6.95 tff(29153,plain,
% 9.34/6.95 ((~v157(constB0)) <=> (~v157(constB0))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29154,axiom,(~v157(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7')).
% 9.34/6.95 tff(29155,plain,
% 9.34/6.95 (~v157(constB0)),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29154, 29153])).
% 9.34/6.95 tff(29156,plain,
% 9.34/6.95 (((~v157(constB0)) | (~v182(constB0))) | v157(constB0)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29157,plain,
% 9.34/6.95 ((~v157(constB0)) | (~v182(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29156, 29155])).
% 9.34/6.95 tff(29158,plain,
% 9.34/6.95 ((~(v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))) | (~v181(constB0)) | (~((~v157(constB0)) | (~v182(constB0))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29159,plain,
% 9.34/6.95 ((~(v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))) | (~v181(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29158, 29157])).
% 9.34/6.95 tff(29160,plain,
% 9.34/6.95 (~v181(constB0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29159, 29152])).
% 9.34/6.95 tff(29161,plain,
% 9.34/6.95 ((~(v181(constB0) | v185(constB0))) | v181(constB0) | v185(constB0)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29162,plain,
% 9.34/6.95 ((~(v181(constB0) | v185(constB0))) | v185(constB0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29161, 29160])).
% 9.34/6.95 tff(29163,plain,
% 9.34/6.95 (~(v181(constB0) | v185(constB0))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29162, 29145])).
% 9.34/6.95 tff(29164,plain,
% 9.34/6.95 ((~(v178(constB0) <=> (v181(constB0) | v185(constB0)))) | (~v178(constB0)) | (v181(constB0) | v185(constB0))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29165,plain,
% 9.34/6.95 (~v178(constB0)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29164, 29163, 29118])).
% 9.34/6.95 tff(29166,plain,
% 9.34/6.95 ((~(v180(constB1) <=> v178(constB0))) | (~v180(constB1)) | v178(constB0)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29167,plain,
% 9.34/6.95 (~v180(constB1)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29166, 29165, 29116])).
% 9.34/6.95 tff(29168,plain,
% 9.34/6.95 ($false),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29167, 29112])).
% 9.34/6.95 tff(29169,plain,(~(constB1 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.95 tff(29170,assumption,(constB99 = VarCurr!0), introduced(assumption)).
% 9.34/6.95 tff(29171,plain,
% 9.34/6.95 (v180(constB99) <=> v180(VarCurr!0)),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29170])).
% 9.34/6.95 tff(29172,plain,
% 9.34/6.95 (v180(VarCurr!0) <=> v180(constB99)),
% 9.34/6.95 inference(symmetry,[status(thm)],[29171])).
% 9.34/6.95 tff(29173,plain,
% 9.34/6.95 (v180(constB99)),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[59, 29172])).
% 9.34/6.95 tff(29174,plain,
% 9.34/6.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29175,plain,
% 9.34/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29176,plain,
% 9.34/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29175, 29174])).
% 9.34/6.95 tff(29177,plain,
% 9.34/6.95 (v180(constB99) <=> v178(constB98)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29176, 5104, 70])).
% 9.34/6.95 tff(29178,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB98) <=> (v181(constB98) | v185(constB98)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29179,plain,
% 9.34/6.95 (v178(constB98) <=> (v181(constB98) | v185(constB98))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29178, 84])).
% 9.34/6.95 tff(29180,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98)))))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29181,plain,
% 9.34/6.95 (v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98))))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29180, 96])).
% 9.34/6.95 tff(29182,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB98) <=> (~((~v184(constB98)) | (~v159(constB98)))))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29183,plain,
% 9.34/6.95 (v187(constB98) <=> (~((~v184(constB98)) | (~v159(constB98))))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29182, 108])).
% 9.34/6.95 tff(29184,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29185,plain,
% 9.34/6.95 (v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98))))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29184, 120])).
% 9.34/6.95 tff(29186,plain,
% 9.34/6.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB98)) <=> v1(constB98))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29187,plain,
% 9.34/6.95 ((~v39(constB98)) <=> v1(constB98)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29186, 129])).
% 9.34/6.95 tff(29188,plain,
% 9.34/6.95 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98)) | (~v1(constB98))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29189,plain,
% 9.34/6.95 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29188, 5166])).
% 9.34/6.95 tff(29190,plain,
% 9.34/6.95 (~v39(constB98)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29189, 29187])).
% 9.34/6.95 tff(29191,plain,
% 9.34/6.95 (((~v39(constB98)) | (~v9(constB98))) | v39(constB98)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29192,plain,
% 9.34/6.95 ((~v39(constB98)) | (~v9(constB98))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29191, 29190])).
% 9.34/6.95 tff(29193,plain,
% 9.34/6.95 ((~(v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v184(constB98)) | (~((~v39(constB98)) | (~v9(constB98))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29194,plain,
% 9.34/6.95 ((~(v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v184(constB98))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29193, 29192])).
% 9.34/6.95 tff(29195,plain,
% 9.34/6.95 (~v184(constB98)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29194, 29185])).
% 9.34/6.95 tff(29196,plain,
% 9.34/6.95 (((~v184(constB98)) | (~v159(constB98))) | v184(constB98)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29197,plain,
% 9.34/6.95 ((~v184(constB98)) | (~v159(constB98))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29196, 29195])).
% 9.34/6.95 tff(29198,plain,
% 9.34/6.95 ((~(v187(constB98) <=> (~((~v184(constB98)) | (~v159(constB98)))))) | (~v187(constB98)) | (~((~v184(constB98)) | (~v159(constB98))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29199,plain,
% 9.34/6.95 ((~(v187(constB98) <=> (~((~v184(constB98)) | (~v159(constB98)))))) | (~v187(constB98))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29198, 29197])).
% 9.34/6.95 tff(29200,plain,
% 9.34/6.95 (~v187(constB98)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29199, 29183])).
% 9.34/6.95 tff(29201,plain,
% 9.34/6.95 (((~v186(constB98)) | (~v187(constB98))) | v187(constB98)),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29202,plain,
% 9.34/6.95 ((~v186(constB98)) | (~v187(constB98))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29201, 29200])).
% 9.34/6.95 tff(29203,plain,
% 9.34/6.95 ((~(v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98)))))) | (~v185(constB98)) | (~((~v186(constB98)) | (~v187(constB98))))),
% 9.34/6.95 inference(tautology,[status(thm)],[])).
% 9.34/6.95 tff(29204,plain,
% 9.34/6.95 (~v185(constB98)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29203, 29202, 29181])).
% 9.34/6.95 tff(29205,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98))))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29206,plain,
% 9.34/6.95 ((v181(constB98) <=> (~((~v182(constB98)) | (~v157(constB98))))) <=> (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98)))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29207,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v157(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98))))))),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29206])).
% 9.34/6.95 tff(29208,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v157(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98))))))),
% 9.34/6.95 inference(transitivity,[status(thm)],[29207, 29205])).
% 9.34/6.95 tff(29209,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v157(constB98)))))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29210,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98)))))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 9.34/6.95 tff(29211,plain,
% 9.34/6.95 (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98))))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29210, 161])).
% 9.34/6.95 tff(29212,plain,
% 9.34/6.95 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB98) <=> v180(constB98))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29213,plain,
% 9.34/6.95 (v157(constB98) <=> v180(constB98)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29212, 13])).
% 9.34/6.95 tff(29214,plain,
% 9.34/6.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97)))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29215,plain,
% 9.34/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29216,plain,
% 9.34/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97))),
% 9.34/6.95 inference(modus_ponens,[status(thm)],[29215, 29214])).
% 9.34/6.95 tff(29217,plain,
% 9.34/6.95 (v180(constB98) <=> v178(constB97)),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29216, 5136, 70])).
% 9.34/6.95 tff(29218,plain,
% 9.34/6.95 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB97) <=> (v181(constB97) | v185(constB97)))),
% 9.34/6.95 inference(quant_inst,[status(thm)],[])).
% 9.34/6.95 tff(29219,plain,
% 9.34/6.95 (v178(constB97) <=> (v181(constB97) | v185(constB97))),
% 9.34/6.95 inference(unit_resolution,[status(thm)],[29218, 84])).
% 9.34/6.95 tff(29220,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97))))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29221,plain,
% 9.34/6.95 ((v181(constB97) <=> (~((~v182(constB97)) | (~v157(constB97))))) <=> (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97)))))),
% 9.34/6.95 inference(rewrite,[status(thm)],[])).
% 9.34/6.95 tff(29222,plain,
% 9.34/6.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v157(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97))))))),
% 9.34/6.95 inference(monotonicity,[status(thm)],[29221])).
% 9.34/6.96 tff(29223,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v157(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97))))))),
% 9.34/6.96 inference(transitivity,[status(thm)],[29222, 29220])).
% 9.34/6.96 tff(29224,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v157(constB97)))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29225,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97)))))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29224, 29223])).
% 9.34/6.96 tff(29226,plain,
% 9.34/6.96 (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97))))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29225, 161])).
% 9.34/6.96 tff(29227,plain,
% 9.34/6.96 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB97)) <=> v183(constB97))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29228,plain,
% 9.34/6.96 ((~v182(constB97)) <=> v183(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29227, 193])).
% 9.34/6.96 tff(29229,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB97) <=> (v184(constB97) | v26(constB97)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29230,plain,
% 9.34/6.96 (v183(constB97) <=> (v184(constB97) | v26(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29229, 202])).
% 9.34/6.96 tff(29231,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29232,plain,
% 9.34/6.96 (v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97))))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29231, 120])).
% 9.34/6.96 tff(29233,plain,
% 9.34/6.96 (((~![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)))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29234,plain,
% 9.34/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29235,plain,
% 9.34/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29234, 29233])).
% 9.34/6.96 tff(29236,plain,
% 9.34/6.96 (v13(constB98) <=> v9(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29235, 5136, 216])).
% 9.34/6.96 tff(29237,plain,
% 9.34/6.96 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB98) <=> v13(constB98))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29238,plain,
% 9.34/6.96 (v6(constB98) <=> v13(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29237, 230])).
% 9.34/6.96 tff(29239,plain,
% 9.34/6.96 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB98)) <=> v6(constB98))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29240,plain,
% 9.34/6.96 ((~v21(constB98)) <=> v6(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29239, 239])).
% 9.34/6.96 tff(29241,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB98) <=> (v20(constB98) | v21(constB98)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29242,plain,
% 9.34/6.96 (v19(constB98) <=> (v20(constB98) | v21(constB98))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29241, 248])).
% 9.34/6.96 tff(29243,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29244,plain,
% 9.34/6.96 (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98))))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29243, 260])).
% 9.34/6.96 tff(29245,plain,
% 9.34/6.96 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB98)) <=> v18(constB98))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29246,plain,
% 9.34/6.96 ((~v4(constB98)) <=> v18(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29245, 269])).
% 9.34/6.96 tff(29247,plain,
% 9.34/6.96 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB98)),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29248,plain,
% 9.34/6.96 (v4(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29247, 278])).
% 9.34/6.96 tff(29249,plain,
% 9.34/6.96 ((~((~v4(constB98)) <=> v18(constB98))) | (~v4(constB98)) | (~v18(constB98))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29250,plain,
% 9.34/6.96 (~v18(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29249, 29248, 29246])).
% 9.34/6.96 tff(29251,plain,
% 9.34/6.96 ((~(v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))) | v18(constB98) | ((~v19(constB98)) | (~v22(constB98)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29252,plain,
% 9.34/6.96 ((~v19(constB98)) | (~v22(constB98))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29251, 29250, 29244])).
% 9.34/6.96 tff(29253,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB98) <=> (v1(constB98) | v6(constB98)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29254,plain,
% 9.34/6.96 (v22(constB98) <=> (v1(constB98) | v6(constB98))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29253, 291])).
% 9.34/6.96 tff(29255,plain,
% 9.34/6.96 ((v1(constB98) | v6(constB98)) | (~v1(constB98))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29256,plain,
% 9.34/6.96 (v1(constB98) | v6(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29255, 5166])).
% 9.34/6.96 tff(29257,plain,
% 9.34/6.96 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98) | (~(v1(constB98) | v6(constB98)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29258,plain,
% 9.34/6.96 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29257, 29256])).
% 9.34/6.96 tff(29259,plain,
% 9.34/6.96 (v22(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29258, 29254])).
% 9.34/6.96 tff(29260,plain,
% 9.34/6.96 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98)) | (~v22(constB98))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29261,plain,
% 9.34/6.96 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29260, 29259])).
% 9.34/6.96 tff(29262,plain,
% 9.34/6.96 (~v19(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29261, 29252])).
% 9.34/6.96 tff(29263,plain,
% 9.34/6.96 ((~(v19(constB98) <=> (v20(constB98) | v21(constB98)))) | v19(constB98) | (~(v20(constB98) | v21(constB98)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29264,plain,
% 9.34/6.96 (~(v20(constB98) | v21(constB98))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29263, 29262, 29242])).
% 9.34/6.96 tff(29265,plain,
% 9.34/6.96 ((v20(constB98) | v21(constB98)) | (~v21(constB98))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29266,plain,
% 9.34/6.96 (~v21(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29265, 29264])).
% 9.34/6.96 tff(29267,plain,
% 9.34/6.96 ((~((~v21(constB98)) <=> v6(constB98))) | v21(constB98) | v6(constB98)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29268,plain,
% 9.34/6.96 (v6(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29267, 29266, 29240])).
% 9.34/6.96 tff(29269,plain,
% 9.34/6.96 ((~(v6(constB98) <=> v13(constB98))) | (~v6(constB98)) | v13(constB98)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29270,plain,
% 9.34/6.96 (v13(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29269, 29268, 29238])).
% 9.34/6.96 tff(29271,plain,
% 9.34/6.96 ((~(v13(constB98) <=> v9(constB97))) | (~v13(constB98)) | v9(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29272,plain,
% 9.34/6.96 (v9(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29271, 29270, 29236])).
% 9.34/6.96 tff(29273,plain,
% 9.34/6.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB97)) <=> v1(constB97))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29274,plain,
% 9.34/6.96 ((~v39(constB97)) <=> v1(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29273, 129])).
% 9.34/6.96 tff(29275,plain,
% 9.34/6.96 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97) | v1(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29276,plain,
% 9.34/6.96 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29275, 5158])).
% 9.34/6.96 tff(29277,plain,
% 9.34/6.96 (v39(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29276, 29274])).
% 9.34/6.96 tff(29278,plain,
% 9.34/6.96 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v39(constB97)) | (~v9(constB97))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29279,plain,
% 9.34/6.96 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v9(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29278, 29277])).
% 9.34/6.96 tff(29280,plain,
% 9.34/6.96 (~((~v39(constB97)) | (~v9(constB97)))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29279, 29272])).
% 9.34/6.96 tff(29281,plain,
% 9.34/6.96 ((~(v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))) | v184(constB97) | ((~v39(constB97)) | (~v9(constB97)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29282,plain,
% 9.34/6.96 (v184(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29281, 29280, 29232])).
% 9.34/6.96 tff(29283,plain,
% 9.34/6.96 ((v184(constB97) | v26(constB97)) | (~v184(constB97))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29284,plain,
% 9.34/6.96 (v184(constB97) | v26(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29283, 29282])).
% 9.34/6.96 tff(29285,plain,
% 9.34/6.96 ((~(v183(constB97) <=> (v184(constB97) | v26(constB97)))) | v183(constB97) | (~(v184(constB97) | v26(constB97)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29286,plain,
% 9.34/6.96 (v183(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29285, 29284, 29230])).
% 9.34/6.96 tff(29287,plain,
% 9.34/6.96 ((~((~v182(constB97)) <=> v183(constB97))) | (~v182(constB97)) | (~v183(constB97))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29288,plain,
% 9.34/6.96 (~v182(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29287, 29286, 29228])).
% 9.34/6.96 tff(29289,plain,
% 9.34/6.96 (((~v157(constB97)) | (~v182(constB97))) | v182(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29290,plain,
% 9.34/6.96 ((~v157(constB97)) | (~v182(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29289, 29288])).
% 9.34/6.96 tff(29291,plain,
% 9.34/6.96 ((~(v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97)))))) | (~v181(constB97)) | (~((~v157(constB97)) | (~v182(constB97))))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29292,plain,
% 9.34/6.96 (~v181(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29291, 29290, 29226])).
% 9.34/6.96 tff(29293,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97)))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29294,plain,
% 9.34/6.96 (v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97))))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29293, 96])).
% 9.34/6.96 tff(29295,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB97) <=> (~((~v184(constB97)) | (~v159(constB97)))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29296,plain,
% 9.34/6.96 (v187(constB97) <=> (~((~v184(constB97)) | (~v159(constB97))))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29295, 108])).
% 9.34/6.96 tff(29297,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB97) <=> v161(constB97))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29298,plain,
% 9.34/6.96 (v159(constB97) <=> v161(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29297, 345])).
% 9.34/6.96 tff(29299,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29300,plain,
% 9.34/6.96 (v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29299, 360])).
% 9.34/6.96 tff(29301,plain,
% 9.34/6.96 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2)))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29302,plain,
% 9.34/6.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29303,plain,
% 9.34/6.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29302, 29301])).
% 9.34/6.96 tff(29304,plain,
% 9.34/6.96 (v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29303, 648, 372])).
% 9.34/6.96 tff(29305,plain,
% 9.34/6.96 ((~(v88(constB97, bitIndex2) <=> v90(constB97, bitIndex2))) | v88(constB97, bitIndex2) | (~v90(constB97, bitIndex2))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29306,plain,
% 9.34/6.96 (v88(constB97, bitIndex2)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29305, 17600, 29304])).
% 9.34/6.96 tff(29307,plain,
% 9.34/6.96 ((v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex2))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29308,plain,
% 9.34/6.96 (v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29307, 29306])).
% 9.34/6.96 tff(29309,plain,
% 9.34/6.96 ((~(v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2))))) | (~v139(constB97)) | (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29310,plain,
% 9.34/6.96 (~v139(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29309, 29308, 29300])).
% 9.34/6.96 tff(29311,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))))))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29312,plain,
% 9.34/6.96 ((v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0))))) <=> (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)))))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29313,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))))))),
% 9.34/6.96 inference(monotonicity,[status(thm)],[29312])).
% 9.34/6.96 tff(29314,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))))))),
% 9.34/6.96 inference(transitivity,[status(thm)],[29313, 29311])).
% 9.34/6.96 tff(29315,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29316,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)))))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29315, 29314])).
% 9.34/6.96 tff(29317,plain,
% 9.34/6.96 (v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29316, 25795])).
% 9.34/6.96 tff(29318,plain,
% 9.34/6.96 ((v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))) | (~v88(constB97, bitIndex2))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29319,plain,
% 9.34/6.96 (v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29318, 29306])).
% 9.34/6.96 tff(29320,plain,
% 9.34/6.96 ((~(v140(constB97) <=> (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)))))) | (~v140(constB97)) | (~(v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0))))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29321,plain,
% 9.34/6.96 (~v140(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29320, 29319, 29317])).
% 9.34/6.96 tff(29322,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v168(constB97)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB97) | v139(constB97) | (~v168(constB97)))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29323,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v168(constB97)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29324,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB97) | v139(constB97) | (~v168(constB97))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29323, 29322])).
% 9.34/6.96 tff(29325,plain,
% 9.34/6.96 (v140(constB97) | v139(constB97) | (~v168(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29324, 25819])).
% 9.34/6.96 tff(29326,plain,
% 9.34/6.96 (~v168(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29325, 29321, 29310])).
% 9.34/6.96 tff(29327,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB97) <=> (v145(constB97) | v165(constB97)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29328,plain,
% 9.34/6.96 (v164(constB97) <=> (v145(constB97) | v165(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29327, 25834])).
% 9.34/6.96 tff(29329,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB97) <=> (v142(constB97) | v166(constB97)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29330,plain,
% 9.34/6.96 (v165(constB97) <=> (v142(constB97) | v166(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29329, 25846])).
% 9.34/6.96 tff(29331,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB97) <=> (v143(constB97) | v144(constB97)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29332,plain,
% 9.34/6.96 (v142(constB97) <=> (v143(constB97) | v144(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29331, 25855])).
% 9.34/6.96 tff(29333,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)))))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29334,plain,
% 9.34/6.96 ((v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2))))) <=> (v144(constB97) <=> (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29335,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)))))),
% 9.34/6.96 inference(monotonicity,[status(thm)],[29334])).
% 9.34/6.96 tff(29336,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)))))),
% 9.34/6.96 inference(transitivity,[status(thm)],[29335, 29333])).
% 9.34/6.96 tff(29337,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29338,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29337, 29336])).
% 9.34/6.96 tff(29339,plain,
% 9.34/6.96 (v144(constB97) <=> (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29338, 26095])).
% 9.34/6.96 tff(29340,plain,
% 9.34/6.96 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0)))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29341,plain,
% 9.34/6.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29342,plain,
% 9.34/6.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29341, 29340])).
% 9.34/6.96 tff(29343,plain,
% 9.34/6.96 (v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29342, 9653, 372])).
% 9.34/6.96 tff(29344,plain,
% 9.34/6.96 ((~(v88(constB97, bitIndex0) <=> v90(constB97, bitIndex0))) | (~v88(constB97, bitIndex0)) | v90(constB97, bitIndex0)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29345,plain,
% 9.34/6.96 (~v88(constB97, bitIndex0)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29344, 17631, 29343])).
% 9.34/6.96 tff(29346,plain,
% 9.34/6.96 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1)))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29347,plain,
% 9.34/6.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29348,plain,
% 9.34/6.96 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29347, 29346])).
% 9.34/6.96 tff(29349,plain,
% 9.34/6.96 (v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29348, 375, 372])).
% 9.34/6.96 tff(29350,plain,
% 9.34/6.96 ((~(v88(constB97, bitIndex1) <=> v90(constB97, bitIndex1))) | v88(constB97, bitIndex1) | (~v90(constB97, bitIndex1))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29351,plain,
% 9.34/6.96 (v88(constB97, bitIndex1)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29350, 17662, 29349])).
% 9.34/6.96 tff(29352,plain,
% 9.34/6.96 ((~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29353,plain,
% 9.34/6.96 (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29352, 29351, 29345, 29306])).
% 9.34/6.96 tff(29354,plain,
% 9.34/6.96 ((~(v144(constB97) <=> (~((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))))) | v144(constB97) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29355,plain,
% 9.34/6.96 (v144(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29354, 29353, 29339])).
% 9.34/6.96 tff(29356,plain,
% 9.34/6.96 ((v143(constB97) | v144(constB97)) | (~v144(constB97))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29357,plain,
% 9.34/6.96 (v143(constB97) | v144(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29356, 29355])).
% 9.34/6.96 tff(29358,plain,
% 9.34/6.96 ((~(v142(constB97) <=> (v143(constB97) | v144(constB97)))) | v142(constB97) | (~(v143(constB97) | v144(constB97)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29359,plain,
% 9.34/6.96 (v142(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29358, 29357, 29332])).
% 9.34/6.96 tff(29360,plain,
% 9.34/6.96 ((v142(constB97) | v166(constB97)) | (~v142(constB97))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29361,plain,
% 9.34/6.96 (v142(constB97) | v166(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29360, 29359])).
% 9.34/6.96 tff(29362,plain,
% 9.34/6.96 ((~(v165(constB97) <=> (v142(constB97) | v166(constB97)))) | v165(constB97) | (~(v142(constB97) | v166(constB97)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29363,plain,
% 9.34/6.96 (v165(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29362, 29361, 29330])).
% 9.34/6.96 tff(29364,plain,
% 9.34/6.96 ((v145(constB97) | v165(constB97)) | (~v165(constB97))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29365,plain,
% 9.34/6.96 (v145(constB97) | v165(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29364, 29363])).
% 9.34/6.96 tff(29366,plain,
% 9.34/6.96 ((~(v164(constB97) <=> (v145(constB97) | v165(constB97)))) | v164(constB97) | (~(v145(constB97) | v165(constB97)))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29367,plain,
% 9.34/6.96 (v164(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29366, 29365, 29328])).
% 9.34/6.96 tff(29368,plain,
% 9.34/6.96 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB97)) | (v161(constB97) <=> v168(constB97)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB97)) | (v161(constB97) <=> v168(constB97)))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29369,plain,
% 9.34/6.96 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB97)) | (v161(constB97) <=> v168(constB97)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29370,plain,
% 9.34/6.96 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB97)) | (v161(constB97) <=> v168(constB97))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29369, 29368])).
% 9.34/6.96 tff(29371,plain,
% 9.34/6.96 ((~v164(constB97)) | (v161(constB97) <=> v168(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29370, 25977])).
% 9.34/6.96 tff(29372,plain,
% 9.34/6.96 (v161(constB97) <=> v168(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29371, 29367])).
% 9.34/6.96 tff(29373,plain,
% 9.34/6.96 ((~(v161(constB97) <=> v168(constB97))) | (~v161(constB97)) | v168(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29374,plain,
% 9.34/6.96 (~v161(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29373, 29372, 29326])).
% 9.34/6.96 tff(29375,plain,
% 9.34/6.96 ((~(v159(constB97) <=> v161(constB97))) | (~v159(constB97)) | v161(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29376,plain,
% 9.34/6.96 ((~(v159(constB97) <=> v161(constB97))) | (~v159(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29375, 29374])).
% 9.34/6.96 tff(29377,plain,
% 9.34/6.96 (~v159(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29376, 29298])).
% 9.34/6.96 tff(29378,plain,
% 9.34/6.96 (((~v184(constB97)) | (~v159(constB97))) | v159(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29379,plain,
% 9.34/6.96 ((~v184(constB97)) | (~v159(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29378, 29377])).
% 9.34/6.96 tff(29380,plain,
% 9.34/6.96 ((~(v187(constB97) <=> (~((~v184(constB97)) | (~v159(constB97)))))) | (~v187(constB97)) | (~((~v184(constB97)) | (~v159(constB97))))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29381,plain,
% 9.34/6.96 (~v187(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29380, 29379, 29296])).
% 9.34/6.96 tff(29382,plain,
% 9.34/6.96 (((~v186(constB97)) | (~v187(constB97))) | v187(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29383,plain,
% 9.34/6.96 ((~v186(constB97)) | (~v187(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29382, 29381])).
% 9.34/6.96 tff(29384,plain,
% 9.34/6.96 ((~(v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97)))))) | (~v185(constB97)) | (~((~v186(constB97)) | (~v187(constB97))))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29385,plain,
% 9.34/6.96 (~v185(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29384, 29383, 29294])).
% 9.34/6.96 tff(29386,plain,
% 9.34/6.96 ((~(v181(constB97) | v185(constB97))) | v181(constB97) | v185(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29387,plain,
% 9.34/6.96 (~(v181(constB97) | v185(constB97))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29386, 29385, 29292])).
% 9.34/6.96 tff(29388,plain,
% 9.34/6.96 ((~(v178(constB97) <=> (v181(constB97) | v185(constB97)))) | (~v178(constB97)) | (v181(constB97) | v185(constB97))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29389,plain,
% 9.34/6.96 (~v178(constB97)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29388, 29387, 29219])).
% 9.34/6.96 tff(29390,plain,
% 9.34/6.96 ((~(v180(constB98) <=> v178(constB97))) | (~v180(constB98)) | v178(constB97)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29391,plain,
% 9.34/6.96 (~v180(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29390, 29389, 29217])).
% 9.34/6.96 tff(29392,plain,
% 9.34/6.96 ((~(v157(constB98) <=> v180(constB98))) | (~v157(constB98)) | v180(constB98)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29393,plain,
% 9.34/6.96 (~v157(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29392, 29391, 29213])).
% 9.34/6.96 tff(29394,plain,
% 9.34/6.96 (((~v157(constB98)) | (~v182(constB98))) | v157(constB98)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29395,plain,
% 9.34/6.96 ((~v157(constB98)) | (~v182(constB98))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29394, 29393])).
% 9.34/6.96 tff(29396,plain,
% 9.34/6.96 ((~(v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98)))))) | (~v181(constB98)) | (~((~v157(constB98)) | (~v182(constB98))))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29397,plain,
% 9.34/6.96 (~v181(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29396, 29395, 29211])).
% 9.34/6.96 tff(29398,plain,
% 9.34/6.96 ((~(v181(constB98) | v185(constB98))) | v181(constB98) | v185(constB98)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29399,plain,
% 9.34/6.96 (~(v181(constB98) | v185(constB98))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29398, 29397, 29204])).
% 9.34/6.96 tff(29400,plain,
% 9.34/6.96 ((~(v178(constB98) <=> (v181(constB98) | v185(constB98)))) | (~v178(constB98)) | (v181(constB98) | v185(constB98))),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29401,plain,
% 9.34/6.96 (~v178(constB98)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29400, 29399, 29179])).
% 9.34/6.96 tff(29402,plain,
% 9.34/6.96 ((~(v180(constB99) <=> v178(constB98))) | (~v180(constB99)) | v178(constB98)),
% 9.34/6.96 inference(tautology,[status(thm)],[])).
% 9.34/6.96 tff(29403,plain,
% 9.34/6.96 (~v180(constB99)),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29402, 29401, 29177])).
% 9.34/6.96 tff(29404,plain,
% 9.34/6.96 ($false),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29403, 29173])).
% 9.34/6.96 tff(29405,plain,(~(constB99 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.96 tff(29406,assumption,(constB101 = VarCurr!0), introduced(assumption)).
% 9.34/6.96 tff(29407,plain,
% 9.34/6.96 (v86(constB101) <=> v86(VarCurr!0)),
% 9.34/6.96 inference(monotonicity,[status(thm)],[29406])).
% 9.34/6.96 tff(29408,plain,
% 9.34/6.96 (v86(VarCurr!0) <=> v86(constB101)),
% 9.34/6.96 inference(symmetry,[status(thm)],[29407])).
% 9.34/6.96 tff(29409,plain,
% 9.34/6.96 ((~v86(VarCurr!0)) <=> (~v86(constB101))),
% 9.34/6.96 inference(monotonicity,[status(thm)],[29408])).
% 9.34/6.96 tff(29410,plain,
% 9.34/6.96 (~v86(constB101)),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[26079, 29409])).
% 9.34/6.96 tff(29411,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB101) <=> (v143(constB101) | v144(constB101)))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29412,plain,
% 9.34/6.96 (v142(constB101) <=> (v143(constB101) | v144(constB101))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29411, 25855])).
% 9.34/6.96 tff(29413,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0)))))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29414,plain,
% 9.34/6.96 ((v143(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1))))) <=> (v143(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0))))),
% 9.34/6.96 inference(rewrite,[status(thm)],[])).
% 9.34/6.96 tff(29415,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0)))))),
% 9.34/6.96 inference(monotonicity,[status(thm)],[29414])).
% 9.34/6.96 tff(29416,plain,
% 9.34/6.96 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0)))))),
% 9.34/6.96 inference(transitivity,[status(thm)],[29415, 29413])).
% 9.34/6.96 tff(29417,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)))))),
% 9.34/6.96 inference(quant_inst,[status(thm)],[])).
% 9.34/6.96 tff(29418,plain,
% 9.34/6.96 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0))))),
% 9.34/6.96 inference(modus_ponens,[status(thm)],[29417, 29416])).
% 9.34/6.96 tff(29419,plain,
% 9.34/6.96 (v143(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0)))),
% 9.34/6.96 inference(unit_resolution,[status(thm)],[29418, 25870])).
% 9.34/6.96 tff(29420,plain,
% 9.34/6.96 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB101, bitIndex2) <=> v90(constB101, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB101, bitIndex2) <=> v90(constB101, bitIndex2)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(29421,plain,
% 9.34/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB101, bitIndex2) <=> v90(constB101, bitIndex2)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(29422,plain,
% 9.34/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB101, bitIndex2) <=> v90(constB101, bitIndex2))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[29421, 29420])).
% 9.34/6.97 tff(29423,plain,
% 9.34/6.97 (v88(constB101, bitIndex2) <=> v90(constB101, bitIndex2)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29422, 648, 372])).
% 9.34/6.97 tff(29424,plain,
% 9.34/6.97 ((~(v88(constB101, bitIndex2) <=> v90(constB101, bitIndex2))) | (~v88(constB101, bitIndex2)) | v90(constB101, bitIndex2)),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29425,plain,
% 9.34/6.97 (~v88(constB101, bitIndex2)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29424, 17968, 29423])).
% 9.34/6.97 tff(29426,plain,
% 9.34/6.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB101, bitIndex0) <=> v90(constB101, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB101, bitIndex0) <=> v90(constB101, bitIndex0)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(29427,plain,
% 9.34/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB101, bitIndex0) <=> v90(constB101, bitIndex0)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(29428,plain,
% 9.34/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB101, bitIndex0) <=> v90(constB101, bitIndex0))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[29427, 29426])).
% 9.34/6.97 tff(29429,plain,
% 9.34/6.97 (v88(constB101, bitIndex0) <=> v90(constB101, bitIndex0)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29428, 9653, 372])).
% 9.34/6.97 tff(29430,plain,
% 9.34/6.97 ((~(v88(constB101, bitIndex0) <=> v90(constB101, bitIndex0))) | (~v88(constB101, bitIndex0)) | v90(constB101, bitIndex0)),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29431,plain,
% 9.34/6.97 (~v88(constB101, bitIndex0)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29430, 17999, 29429])).
% 9.34/6.97 tff(29432,plain,
% 9.34/6.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB101, bitIndex1) <=> v90(constB101, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB101, bitIndex1) <=> v90(constB101, bitIndex1)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(29433,plain,
% 9.34/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB101, bitIndex1) <=> v90(constB101, bitIndex1)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(29434,plain,
% 9.34/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB101, bitIndex1) <=> v90(constB101, bitIndex1))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[29433, 29432])).
% 9.34/6.97 tff(29435,plain,
% 9.34/6.97 (v88(constB101, bitIndex1) <=> v90(constB101, bitIndex1)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29434, 375, 372])).
% 9.34/6.97 tff(29436,plain,
% 9.34/6.97 ((~(v88(constB101, bitIndex1) <=> v90(constB101, bitIndex1))) | v88(constB101, bitIndex1) | (~v90(constB101, bitIndex1))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29437,plain,
% 9.34/6.97 (v88(constB101, bitIndex1)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29436, 18030, 29435])).
% 9.34/6.97 tff(29438,plain,
% 9.34/6.97 ((~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0))) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0)),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29439,plain,
% 9.34/6.97 (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0))),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29438, 29437, 29431, 29425])).
% 9.34/6.97 tff(29440,plain,
% 9.34/6.97 ((~(v143(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0))))) | v143(constB101) | (v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex0))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29441,plain,
% 9.34/6.97 (v143(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29440, 29439, 29419])).
% 9.34/6.97 tff(29442,plain,
% 9.34/6.97 ((v143(constB101) | v144(constB101)) | (~v143(constB101))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29443,plain,
% 9.34/6.97 (v143(constB101) | v144(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29442, 29441])).
% 9.34/6.97 tff(29444,plain,
% 9.34/6.97 ((~(v142(constB101) <=> (v143(constB101) | v144(constB101)))) | v142(constB101) | (~(v143(constB101) | v144(constB101)))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29445,plain,
% 9.34/6.97 (v142(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29444, 29443, 29412])).
% 9.34/6.97 tff(29446,plain,
% 9.34/6.97 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB101) | (~v142(constB101)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(29447,plain,
% 9.34/6.97 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB101) | (~v142(constB101)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(29448,plain,
% 9.34/6.97 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB101) | (~v142(constB101))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[29447, 29446])).
% 9.34/6.97 tff(29449,plain,
% 9.34/6.97 (v148(constB101) | (~v142(constB101))),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29448, 26138])).
% 9.34/6.97 tff(29450,plain,
% 9.34/6.97 (v148(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29449, 29445])).
% 9.34/6.97 tff(29451,plain,
% 9.34/6.97 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB101) <=> (v136(constB101) | v145(constB101)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(29452,plain,
% 9.34/6.97 (v135(constB101) <=> (v136(constB101) | v145(constB101))),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29451, 26150])).
% 9.34/6.97 tff(29453,plain,
% 9.34/6.97 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB101) <=> (v137(constB101) | v142(constB101)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(29454,plain,
% 9.34/6.97 (v136(constB101) <=> (v137(constB101) | v142(constB101))),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29453, 26159])).
% 9.34/6.97 tff(29455,plain,
% 9.34/6.97 ((v137(constB101) | v142(constB101)) | (~v142(constB101))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29456,plain,
% 9.34/6.97 (v137(constB101) | v142(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29455, 29445])).
% 9.34/6.97 tff(29457,plain,
% 9.34/6.97 ((~(v136(constB101) <=> (v137(constB101) | v142(constB101)))) | v136(constB101) | (~(v137(constB101) | v142(constB101)))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29458,plain,
% 9.34/6.97 (v136(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29457, 29456, 29454])).
% 9.34/6.97 tff(29459,plain,
% 9.34/6.97 ((v136(constB101) | v145(constB101)) | (~v136(constB101))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29460,plain,
% 9.34/6.97 (v136(constB101) | v145(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29459, 29458])).
% 9.34/6.97 tff(29461,plain,
% 9.34/6.97 ((~(v135(constB101) <=> (v136(constB101) | v145(constB101)))) | v135(constB101) | (~(v136(constB101) | v145(constB101)))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29462,plain,
% 9.34/6.97 (v135(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29461, 29460, 29452])).
% 9.34/6.97 tff(29463,plain,
% 9.34/6.97 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB101)) | (v86(constB101) <=> v148(constB101)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB101)) | (v86(constB101) <=> v148(constB101)))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(29464,plain,
% 9.34/6.97 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB101)) | (v86(constB101) <=> v148(constB101)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(29465,plain,
% 9.34/6.97 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB101)) | (v86(constB101) <=> v148(constB101))),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[29464, 29463])).
% 9.34/6.97 tff(29466,plain,
% 9.34/6.97 ((~v135(constB101)) | (v86(constB101) <=> v148(constB101))),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29465, 26179])).
% 9.34/6.97 tff(29467,plain,
% 9.34/6.97 (v86(constB101) <=> v148(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29466, 29462])).
% 9.34/6.97 tff(29468,plain,
% 9.34/6.97 ((~(v86(constB101) <=> v148(constB101))) | v86(constB101) | (~v148(constB101))),
% 9.34/6.97 inference(tautology,[status(thm)],[])).
% 9.34/6.97 tff(29469,plain,
% 9.34/6.97 (v86(constB101)),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29468, 29467, 29450])).
% 9.34/6.97 tff(29470,plain,
% 9.34/6.97 ($false),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29469, 29410])).
% 9.34/6.97 tff(29471,plain,(~(constB101 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.97 tff(29472,assumption,(constB193 = VarCurr!0), introduced(assumption)).
% 9.34/6.97 tff(29473,plain,
% 9.34/6.97 (v86(constB193) <=> v86(VarCurr!0)),
% 9.34/6.97 inference(monotonicity,[status(thm)],[29472])).
% 9.34/6.97 tff(29474,plain,
% 9.34/6.97 (v86(VarCurr!0) <=> v86(constB193)),
% 9.34/6.97 inference(symmetry,[status(thm)],[29473])).
% 9.34/6.97 tff(29475,plain,
% 9.34/6.97 ((~v86(VarCurr!0)) <=> (~v86(constB193))),
% 9.34/6.97 inference(monotonicity,[status(thm)],[29474])).
% 9.34/6.97 tff(29476,plain,
% 9.34/6.97 (~v86(constB193)),
% 9.34/6.97 inference(modus_ponens,[status(thm)],[26079, 29475])).
% 9.34/6.97 tff(29477,plain,
% 9.34/6.97 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB193) <=> (v143(constB193) | v144(constB193)))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.34/6.97 tff(29478,plain,
% 9.34/6.97 (v142(constB193) <=> (v143(constB193) | v144(constB193))),
% 9.34/6.97 inference(unit_resolution,[status(thm)],[29477, 25855])).
% 9.34/6.97 tff(29479,plain,
% 9.34/6.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0)))))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(29480,plain,
% 9.34/6.97 ((v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2))))) <=> (v144(constB193) <=> (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0))))),
% 9.34/6.97 inference(rewrite,[status(thm)],[])).
% 9.34/6.97 tff(29481,plain,
% 9.34/6.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0)))))),
% 9.34/6.97 inference(monotonicity,[status(thm)],[29480])).
% 9.34/6.97 tff(29482,plain,
% 9.34/6.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0)))))),
% 9.34/6.97 inference(transitivity,[status(thm)],[29481, 29479])).
% 9.34/6.97 tff(29483,plain,
% 9.34/6.97 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)))))),
% 9.34/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29484,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0))))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29483, 29482])).
% 9.40/6.97 tff(29485,plain,
% 9.40/6.97 (v144(constB193) <=> (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0)))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29484, 26095])).
% 9.40/6.97 tff(29486,plain,
% 9.40/6.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2)))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29487,plain,
% 9.40/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29488,plain,
% 9.40/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29487, 29486])).
% 9.40/6.97 tff(29489,plain,
% 9.40/6.97 (v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29488, 648, 372])).
% 9.40/6.97 tff(29490,plain,
% 9.40/6.97 ((~(v88(constB193, bitIndex2) <=> v90(constB193, bitIndex2))) | v88(constB193, bitIndex2) | (~v90(constB193, bitIndex2))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29491,plain,
% 9.40/6.97 (v88(constB193, bitIndex2)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29490, 25408, 29489])).
% 9.40/6.97 tff(29492,plain,
% 9.40/6.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0)))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29493,plain,
% 9.40/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29494,plain,
% 9.40/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29493, 29492])).
% 9.40/6.97 tff(29495,plain,
% 9.40/6.97 (v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29494, 9653, 372])).
% 9.40/6.97 tff(29496,plain,
% 9.40/6.97 ((~(v88(constB193, bitIndex0) <=> v90(constB193, bitIndex0))) | (~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0)),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29497,plain,
% 9.40/6.97 (~v88(constB193, bitIndex0)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29496, 25439, 29495])).
% 9.40/6.97 tff(29498,plain,
% 9.40/6.97 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1)))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29499,plain,
% 9.40/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29500,plain,
% 9.40/6.97 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29499, 29498])).
% 9.40/6.97 tff(29501,plain,
% 9.40/6.97 (v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29500, 375, 372])).
% 9.40/6.97 tff(29502,plain,
% 9.40/6.97 ((~(v88(constB193, bitIndex1) <=> v90(constB193, bitIndex1))) | v88(constB193, bitIndex1) | (~v90(constB193, bitIndex1))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29503,plain,
% 9.40/6.97 (v88(constB193, bitIndex1)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29502, 25470, 29501])).
% 9.40/6.97 tff(29504,plain,
% 9.40/6.97 ((~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0))) | (~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0)),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29505,plain,
% 9.40/6.97 (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29504, 29503, 29497, 29491])).
% 9.40/6.97 tff(29506,plain,
% 9.40/6.97 ((~(v144(constB193) <=> (~((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0))))) | v144(constB193) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29507,plain,
% 9.40/6.97 (v144(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29506, 29505, 29485])).
% 9.40/6.97 tff(29508,plain,
% 9.40/6.97 ((v143(constB193) | v144(constB193)) | (~v144(constB193))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29509,plain,
% 9.40/6.97 (v143(constB193) | v144(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29508, 29507])).
% 9.40/6.97 tff(29510,plain,
% 9.40/6.97 ((~(v142(constB193) <=> (v143(constB193) | v144(constB193)))) | v142(constB193) | (~(v143(constB193) | v144(constB193)))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29511,plain,
% 9.40/6.97 (v142(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29510, 29509, 29478])).
% 9.40/6.97 tff(29512,plain,
% 9.40/6.97 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB193) | (~v142(constB193)))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29513,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB193) | (~v142(constB193)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29514,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB193) | (~v142(constB193))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29513, 29512])).
% 9.40/6.97 tff(29515,plain,
% 9.40/6.97 (v148(constB193) | (~v142(constB193))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29514, 26138])).
% 9.40/6.97 tff(29516,plain,
% 9.40/6.97 (v148(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29515, 29511])).
% 9.40/6.97 tff(29517,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB193) <=> (v136(constB193) | v145(constB193)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29518,plain,
% 9.40/6.97 (v135(constB193) <=> (v136(constB193) | v145(constB193))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29517, 26150])).
% 9.40/6.97 tff(29519,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB193) <=> (v137(constB193) | v142(constB193)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29520,plain,
% 9.40/6.97 (v136(constB193) <=> (v137(constB193) | v142(constB193))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29519, 26159])).
% 9.40/6.97 tff(29521,plain,
% 9.40/6.97 ((v137(constB193) | v142(constB193)) | (~v142(constB193))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29522,plain,
% 9.40/6.97 (v137(constB193) | v142(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29521, 29511])).
% 9.40/6.97 tff(29523,plain,
% 9.40/6.97 ((~(v136(constB193) <=> (v137(constB193) | v142(constB193)))) | v136(constB193) | (~(v137(constB193) | v142(constB193)))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29524,plain,
% 9.40/6.97 (v136(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29523, 29522, 29520])).
% 9.40/6.97 tff(29525,plain,
% 9.40/6.97 ((v136(constB193) | v145(constB193)) | (~v136(constB193))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29526,plain,
% 9.40/6.97 (v136(constB193) | v145(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29525, 29524])).
% 9.40/6.97 tff(29527,plain,
% 9.40/6.97 ((~(v135(constB193) <=> (v136(constB193) | v145(constB193)))) | v135(constB193) | (~(v136(constB193) | v145(constB193)))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29528,plain,
% 9.40/6.97 (v135(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29527, 29526, 29518])).
% 9.40/6.97 tff(29529,plain,
% 9.40/6.97 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB193)) | (v86(constB193) <=> v148(constB193)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB193)) | (v86(constB193) <=> v148(constB193)))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29530,plain,
% 9.40/6.97 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB193)) | (v86(constB193) <=> v148(constB193)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29531,plain,
% 9.40/6.97 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB193)) | (v86(constB193) <=> v148(constB193))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29530, 29529])).
% 9.40/6.97 tff(29532,plain,
% 9.40/6.97 ((~v135(constB193)) | (v86(constB193) <=> v148(constB193))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29531, 26179])).
% 9.40/6.97 tff(29533,plain,
% 9.40/6.97 (v86(constB193) <=> v148(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29532, 29528])).
% 9.40/6.97 tff(29534,plain,
% 9.40/6.97 ((~(v86(constB193) <=> v148(constB193))) | v86(constB193) | (~v148(constB193))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29535,plain,
% 9.40/6.97 (v86(constB193)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29534, 29533, 29516])).
% 9.40/6.97 tff(29536,plain,
% 9.40/6.97 ($false),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29535, 29476])).
% 9.40/6.97 tff(29537,plain,(~(constB193 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/6.97 tff(29538,assumption,(constB21 = VarCurr!0), introduced(assumption)).
% 9.40/6.97 tff(29539,plain,
% 9.40/6.97 (v180(constB21) <=> v180(VarCurr!0)),
% 9.40/6.97 inference(monotonicity,[status(thm)],[29538])).
% 9.40/6.97 tff(29540,plain,
% 9.40/6.97 (v180(VarCurr!0) <=> v180(constB21)),
% 9.40/6.97 inference(symmetry,[status(thm)],[29539])).
% 9.40/6.97 tff(29541,plain,
% 9.40/6.97 (v180(constB21)),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[59, 29540])).
% 9.40/6.97 tff(29542,plain,
% 9.40/6.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB20, constB21)) | (v180(constB21) <=> v178(constB20)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB20, constB21)) | (v180(constB21) <=> v178(constB20)))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29543,plain,
% 9.40/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB20, constB21)) | (v180(constB21) <=> v178(constB20)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29544,plain,
% 9.40/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB20, constB21)) | (v180(constB21) <=> v178(constB20))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29543, 29542])).
% 9.40/6.97 tff(29545,plain,
% 9.40/6.97 (v180(constB21) <=> v178(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29544, 8683, 70])).
% 9.40/6.97 tff(29546,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB20) <=> (v181(constB20) | v185(constB20)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29547,plain,
% 9.40/6.97 (v178(constB20) <=> (v181(constB20) | v185(constB20))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29546, 84])).
% 9.40/6.97 tff(29548,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB20) <=> (~((~v186(constB20)) | (~v187(constB20)))))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29549,plain,
% 9.40/6.97 (v185(constB20) <=> (~((~v186(constB20)) | (~v187(constB20))))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29548, 96])).
% 9.40/6.97 tff(29550,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB20) <=> (~((~v184(constB20)) | (~v159(constB20)))))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29551,plain,
% 9.40/6.97 (v187(constB20) <=> (~((~v184(constB20)) | (~v159(constB20))))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29550, 108])).
% 9.40/6.97 tff(29552,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29553,plain,
% 9.40/6.97 (v184(constB20) <=> (~((~v39(constB20)) | (~v9(constB20))))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29552, 120])).
% 9.40/6.97 tff(29554,plain,
% 9.40/6.97 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB20)) <=> v1(constB20))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29555,plain,
% 9.40/6.97 ((~v39(constB20)) <=> v1(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29554, 129])).
% 9.40/6.97 tff(29556,plain,
% 9.40/6.97 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20)) | (~v1(constB20))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29557,plain,
% 9.40/6.97 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29556, 8745])).
% 9.40/6.97 tff(29558,plain,
% 9.40/6.97 (~v39(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29557, 29555])).
% 9.40/6.97 tff(29559,plain,
% 9.40/6.97 (((~v39(constB20)) | (~v9(constB20))) | v39(constB20)),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29560,plain,
% 9.40/6.97 ((~v39(constB20)) | (~v9(constB20))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29559, 29558])).
% 9.40/6.97 tff(29561,plain,
% 9.40/6.97 ((~(v184(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v184(constB20)) | (~((~v39(constB20)) | (~v9(constB20))))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29562,plain,
% 9.40/6.97 ((~(v184(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v184(constB20))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29561, 29560])).
% 9.40/6.97 tff(29563,plain,
% 9.40/6.97 (~v184(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29562, 29553])).
% 9.40/6.97 tff(29564,plain,
% 9.40/6.97 (((~v184(constB20)) | (~v159(constB20))) | v184(constB20)),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29565,plain,
% 9.40/6.97 ((~v184(constB20)) | (~v159(constB20))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29564, 29563])).
% 9.40/6.97 tff(29566,plain,
% 9.40/6.97 ((~(v187(constB20) <=> (~((~v184(constB20)) | (~v159(constB20)))))) | (~v187(constB20)) | (~((~v184(constB20)) | (~v159(constB20))))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29567,plain,
% 9.40/6.97 ((~(v187(constB20) <=> (~((~v184(constB20)) | (~v159(constB20)))))) | (~v187(constB20))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29566, 29565])).
% 9.40/6.97 tff(29568,plain,
% 9.40/6.97 (~v187(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29567, 29551])).
% 9.40/6.97 tff(29569,plain,
% 9.40/6.97 (((~v186(constB20)) | (~v187(constB20))) | v187(constB20)),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29570,plain,
% 9.40/6.97 ((~v186(constB20)) | (~v187(constB20))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29569, 29568])).
% 9.40/6.97 tff(29571,plain,
% 9.40/6.97 ((~(v185(constB20) <=> (~((~v186(constB20)) | (~v187(constB20)))))) | (~v185(constB20)) | (~((~v186(constB20)) | (~v187(constB20))))),
% 9.40/6.97 inference(tautology,[status(thm)],[])).
% 9.40/6.97 tff(29572,plain,
% 9.40/6.97 (~v185(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29571, 29570, 29549])).
% 9.40/6.97 tff(29573,plain,
% 9.40/6.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20))))))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29574,plain,
% 9.40/6.97 ((v181(constB20) <=> (~((~v182(constB20)) | (~v157(constB20))))) <=> (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20)))))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29575,plain,
% 9.40/6.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v182(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20))))))),
% 9.40/6.97 inference(monotonicity,[status(thm)],[29574])).
% 9.40/6.97 tff(29576,plain,
% 9.40/6.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v182(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20))))))),
% 9.40/6.97 inference(transitivity,[status(thm)],[29575, 29573])).
% 9.40/6.97 tff(29577,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v182(constB20)) | (~v157(constB20)))))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29578,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20)))))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29577, 29576])).
% 9.40/6.97 tff(29579,plain,
% 9.40/6.97 (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20))))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29578, 161])).
% 9.40/6.97 tff(29580,plain,
% 9.40/6.97 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB20) <=> v180(constB20))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29581,plain,
% 9.40/6.97 (v157(constB20) <=> v180(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29580, 13])).
% 9.40/6.97 tff(29582,plain,
% 9.40/6.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB19, constB20)) | (v180(constB20) <=> v178(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB19, constB20)) | (v180(constB20) <=> v178(constB19)))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29583,plain,
% 9.40/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB19, constB20)) | (v180(constB20) <=> v178(constB19)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29584,plain,
% 9.40/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB19, constB20)) | (v180(constB20) <=> v178(constB19))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29583, 29582])).
% 9.40/6.97 tff(29585,plain,
% 9.40/6.97 (v180(constB20) <=> v178(constB19)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29584, 8715, 70])).
% 9.40/6.97 tff(29586,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB19) <=> (v181(constB19) | v185(constB19)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29587,plain,
% 9.40/6.97 (v178(constB19) <=> (v181(constB19) | v185(constB19))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29586, 84])).
% 9.40/6.97 tff(29588,plain,
% 9.40/6.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19))))))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29589,plain,
% 9.40/6.97 ((v181(constB19) <=> (~((~v182(constB19)) | (~v157(constB19))))) <=> (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19)))))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29590,plain,
% 9.40/6.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v182(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19))))))),
% 9.40/6.97 inference(monotonicity,[status(thm)],[29589])).
% 9.40/6.97 tff(29591,plain,
% 9.40/6.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v182(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19))))))),
% 9.40/6.97 inference(transitivity,[status(thm)],[29590, 29588])).
% 9.40/6.97 tff(29592,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v182(constB19)) | (~v157(constB19)))))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29593,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19)))))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29592, 29591])).
% 9.40/6.97 tff(29594,plain,
% 9.40/6.97 (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19))))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29593, 161])).
% 9.40/6.97 tff(29595,plain,
% 9.40/6.97 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB19)) <=> v183(constB19))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29596,plain,
% 9.40/6.97 ((~v182(constB19)) <=> v183(constB19)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29595, 193])).
% 9.40/6.97 tff(29597,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB19) <=> (v184(constB19) | v26(constB19)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29598,plain,
% 9.40/6.97 (v183(constB19) <=> (v184(constB19) | v26(constB19))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29597, 202])).
% 9.40/6.97 tff(29599,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29600,plain,
% 9.40/6.97 (v184(constB19) <=> (~((~v39(constB19)) | (~v9(constB19))))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29599, 120])).
% 9.40/6.97 tff(29601,plain,
% 9.40/6.97 (((~![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)))),
% 9.40/6.97 inference(rewrite,[status(thm)],[])).
% 9.40/6.97 tff(29602,plain,
% 9.40/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29603,plain,
% 9.40/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19))),
% 9.40/6.97 inference(modus_ponens,[status(thm)],[29602, 29601])).
% 9.40/6.97 tff(29604,plain,
% 9.40/6.97 (v13(constB20) <=> v9(constB19)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29603, 8715, 216])).
% 9.40/6.97 tff(29605,plain,
% 9.40/6.97 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB20) <=> v13(constB20))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29606,plain,
% 9.40/6.97 (v6(constB20) <=> v13(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29605, 230])).
% 9.40/6.97 tff(29607,plain,
% 9.40/6.97 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB20)) <=> v6(constB20))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29608,plain,
% 9.40/6.97 ((~v21(constB20)) <=> v6(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29607, 239])).
% 9.40/6.97 tff(29609,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB20) <=> (v20(constB20) | v21(constB20)))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29610,plain,
% 9.40/6.97 (v19(constB20) <=> (v20(constB20) | v21(constB20))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29609, 248])).
% 9.40/6.97 tff(29611,plain,
% 9.40/6.97 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29612,plain,
% 9.40/6.97 (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20))))),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29611, 260])).
% 9.40/6.97 tff(29613,plain,
% 9.40/6.97 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB20)) <=> v18(constB20))),
% 9.40/6.97 inference(quant_inst,[status(thm)],[])).
% 9.40/6.97 tff(29614,plain,
% 9.40/6.97 ((~v4(constB20)) <=> v18(constB20)),
% 9.40/6.97 inference(unit_resolution,[status(thm)],[29613, 269])).
% 9.40/6.97 tff(29615,plain,
% 9.40/6.98 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB20)),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29616,plain,
% 9.40/6.98 (v4(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29615, 278])).
% 9.40/6.98 tff(29617,plain,
% 9.40/6.98 ((~((~v4(constB20)) <=> v18(constB20))) | (~v4(constB20)) | (~v18(constB20))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29618,plain,
% 9.40/6.98 (~v18(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29617, 29616, 29614])).
% 9.40/6.98 tff(29619,plain,
% 9.40/6.98 ((~(v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))) | v18(constB20) | ((~v19(constB20)) | (~v22(constB20)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29620,plain,
% 9.40/6.98 ((~v19(constB20)) | (~v22(constB20))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29619, 29618, 29612])).
% 9.40/6.98 tff(29621,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB20) <=> (v1(constB20) | v6(constB20)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29622,plain,
% 9.40/6.98 (v22(constB20) <=> (v1(constB20) | v6(constB20))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29621, 291])).
% 9.40/6.98 tff(29623,plain,
% 9.40/6.98 ((v1(constB20) | v6(constB20)) | (~v1(constB20))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29624,plain,
% 9.40/6.98 (v1(constB20) | v6(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29623, 8745])).
% 9.40/6.98 tff(29625,plain,
% 9.40/6.98 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20) | (~(v1(constB20) | v6(constB20)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29626,plain,
% 9.40/6.98 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29625, 29624])).
% 9.40/6.98 tff(29627,plain,
% 9.40/6.98 (v22(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29626, 29622])).
% 9.40/6.98 tff(29628,plain,
% 9.40/6.98 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20)) | (~v22(constB20))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29629,plain,
% 9.40/6.98 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29628, 29627])).
% 9.40/6.98 tff(29630,plain,
% 9.40/6.98 (~v19(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29629, 29620])).
% 9.40/6.98 tff(29631,plain,
% 9.40/6.98 ((~(v19(constB20) <=> (v20(constB20) | v21(constB20)))) | v19(constB20) | (~(v20(constB20) | v21(constB20)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29632,plain,
% 9.40/6.98 (~(v20(constB20) | v21(constB20))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29631, 29630, 29610])).
% 9.40/6.98 tff(29633,plain,
% 9.40/6.98 ((v20(constB20) | v21(constB20)) | (~v21(constB20))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29634,plain,
% 9.40/6.98 (~v21(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29633, 29632])).
% 9.40/6.98 tff(29635,plain,
% 9.40/6.98 ((~((~v21(constB20)) <=> v6(constB20))) | v21(constB20) | v6(constB20)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29636,plain,
% 9.40/6.98 (v6(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29635, 29634, 29608])).
% 9.40/6.98 tff(29637,plain,
% 9.40/6.98 ((~(v6(constB20) <=> v13(constB20))) | (~v6(constB20)) | v13(constB20)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29638,plain,
% 9.40/6.98 (v13(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29637, 29636, 29606])).
% 9.40/6.98 tff(29639,plain,
% 9.40/6.98 ((~(v13(constB20) <=> v9(constB19))) | (~v13(constB20)) | v9(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29640,plain,
% 9.40/6.98 (v9(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29639, 29638, 29604])).
% 9.40/6.98 tff(29641,plain,
% 9.40/6.98 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB19)) <=> v1(constB19))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29642,plain,
% 9.40/6.98 ((~v39(constB19)) <=> v1(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29641, 129])).
% 9.40/6.98 tff(29643,plain,
% 9.40/6.98 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19) | v1(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29644,plain,
% 9.40/6.98 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29643, 8737])).
% 9.40/6.98 tff(29645,plain,
% 9.40/6.98 (v39(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29644, 29642])).
% 9.40/6.98 tff(29646,plain,
% 9.40/6.98 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v39(constB19)) | (~v9(constB19))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29647,plain,
% 9.40/6.98 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v9(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29646, 29645])).
% 9.40/6.98 tff(29648,plain,
% 9.40/6.98 (~((~v39(constB19)) | (~v9(constB19)))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29647, 29640])).
% 9.40/6.98 tff(29649,plain,
% 9.40/6.98 ((~(v184(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))) | v184(constB19) | ((~v39(constB19)) | (~v9(constB19)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29650,plain,
% 9.40/6.98 (v184(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29649, 29648, 29600])).
% 9.40/6.98 tff(29651,plain,
% 9.40/6.98 ((v184(constB19) | v26(constB19)) | (~v184(constB19))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29652,plain,
% 9.40/6.98 (v184(constB19) | v26(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29651, 29650])).
% 9.40/6.98 tff(29653,plain,
% 9.40/6.98 ((~(v183(constB19) <=> (v184(constB19) | v26(constB19)))) | v183(constB19) | (~(v184(constB19) | v26(constB19)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29654,plain,
% 9.40/6.98 (v183(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29653, 29652, 29598])).
% 9.40/6.98 tff(29655,plain,
% 9.40/6.98 ((~((~v182(constB19)) <=> v183(constB19))) | (~v182(constB19)) | (~v183(constB19))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29656,plain,
% 9.40/6.98 (~v182(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29655, 29654, 29596])).
% 9.40/6.98 tff(29657,plain,
% 9.40/6.98 (((~v157(constB19)) | (~v182(constB19))) | v182(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29658,plain,
% 9.40/6.98 ((~v157(constB19)) | (~v182(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29657, 29656])).
% 9.40/6.98 tff(29659,plain,
% 9.40/6.98 ((~(v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19)))))) | (~v181(constB19)) | (~((~v157(constB19)) | (~v182(constB19))))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29660,plain,
% 9.40/6.98 (~v181(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29659, 29658, 29594])).
% 9.40/6.98 tff(29661,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB19) <=> (~((~v186(constB19)) | (~v187(constB19)))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29662,plain,
% 9.40/6.98 (v185(constB19) <=> (~((~v186(constB19)) | (~v187(constB19))))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29661, 96])).
% 9.40/6.98 tff(29663,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB19) <=> (~((~v184(constB19)) | (~v159(constB19)))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29664,plain,
% 9.40/6.98 (v187(constB19) <=> (~((~v184(constB19)) | (~v159(constB19))))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29663, 108])).
% 9.40/6.98 tff(29665,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB19) <=> v161(constB19))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29666,plain,
% 9.40/6.98 (v159(constB19) <=> v161(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29665, 345])).
% 9.40/6.98 tff(29667,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29668,plain,
% 9.40/6.98 (v139(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2)))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29667, 360])).
% 9.40/6.98 tff(29669,plain,
% 9.40/6.98 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1)))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29670,plain,
% 9.40/6.98 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29671,plain,
% 9.40/6.98 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 9.40/6.98 tff(29672,plain,
% 9.40/6.98 (v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29671, 375, 372])).
% 9.40/6.98 tff(29673,plain,
% 9.40/6.98 ((~(v88(constB19, bitIndex1) <=> v90(constB19, bitIndex1))) | v88(constB19, bitIndex1) | (~v90(constB19, bitIndex1))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29674,plain,
% 9.40/6.98 (v88(constB19, bitIndex1)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29673, 11356, 29672])).
% 9.40/6.98 tff(29675,plain,
% 9.40/6.98 ((v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2)) | (~v88(constB19, bitIndex1))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29676,plain,
% 9.40/6.98 (v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29675, 29674])).
% 9.40/6.98 tff(29677,plain,
% 9.40/6.98 ((~(v139(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2))))) | (~v139(constB19)) | (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29678,plain,
% 9.40/6.98 (~v139(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29677, 29676, 29668])).
% 9.40/6.98 tff(29679,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0))))))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29680,plain,
% 9.40/6.98 ((v140(constB19) <=> (~(v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))))) <=> (v140(constB19) <=> (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0)))))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29681,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0))))))),
% 9.40/6.98 inference(monotonicity,[status(thm)],[29680])).
% 9.40/6.98 tff(29682,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0))))))),
% 9.40/6.98 inference(transitivity,[status(thm)],[29681, 29679])).
% 9.40/6.98 tff(29683,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29684,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0)))))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29683, 29682])).
% 9.40/6.98 tff(29685,plain,
% 9.40/6.98 (v140(constB19) <=> (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0))))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29684, 25795])).
% 9.40/6.98 tff(29686,plain,
% 9.40/6.98 ((v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0))) | (~v88(constB19, bitIndex1))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29687,plain,
% 9.40/6.98 (v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29686, 29674])).
% 9.40/6.98 tff(29688,plain,
% 9.40/6.98 ((~(v140(constB19) <=> (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0)))))) | (~v140(constB19)) | (~(v88(constB19, bitIndex2) | v88(constB19, bitIndex1) | (~v88(constB19, bitIndex0))))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29689,plain,
% 9.40/6.98 (~v140(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29688, 29687, 29685])).
% 9.40/6.98 tff(29690,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB19) | v140(constB19) | (~v168(constB19)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB19) | v140(constB19) | (~v168(constB19)))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29691,plain,
% 9.40/6.98 ((v140(constB19) | v139(constB19) | (~v168(constB19))) <=> (v139(constB19) | v140(constB19) | (~v168(constB19)))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29692,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v168(constB19)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB19) | v140(constB19) | (~v168(constB19))))),
% 9.40/6.98 inference(monotonicity,[status(thm)],[29691])).
% 9.40/6.98 tff(29693,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v168(constB19)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB19) | v140(constB19) | (~v168(constB19)))),
% 9.40/6.98 inference(transitivity,[status(thm)],[29692, 29690])).
% 9.40/6.98 tff(29694,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v168(constB19)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29695,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB19) | v140(constB19) | (~v168(constB19))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29694, 29693])).
% 9.40/6.98 tff(29696,plain,
% 9.40/6.98 (v139(constB19) | v140(constB19) | (~v168(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29695, 25819])).
% 9.40/6.98 tff(29697,plain,
% 9.40/6.98 (~v168(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29696, 29689, 29678])).
% 9.40/6.98 tff(29698,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB19) <=> (v145(constB19) | v165(constB19)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29699,plain,
% 9.40/6.98 (v164(constB19) <=> (v145(constB19) | v165(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29698, 25834])).
% 9.40/6.98 tff(29700,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB19) <=> (v142(constB19) | v166(constB19)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29701,plain,
% 9.40/6.98 (v165(constB19) <=> (v142(constB19) | v166(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29700, 25846])).
% 9.40/6.98 tff(29702,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB19) <=> (v141(constB19) | v167(constB19)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29703,plain,
% 9.40/6.98 (v166(constB19) <=> (v141(constB19) | v167(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29702, 26362])).
% 9.40/6.98 tff(29704,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29705,plain,
% 9.40/6.98 (v141(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0))))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29704, 26377])).
% 9.40/6.98 tff(29706,plain,
% 9.40/6.98 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2)))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29707,plain,
% 9.40/6.98 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29708,plain,
% 9.40/6.98 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29707, 29706])).
% 9.40/6.98 tff(29709,plain,
% 9.40/6.98 (v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29708, 648, 372])).
% 9.40/6.98 tff(29710,plain,
% 9.40/6.98 ((~(v88(constB19, bitIndex2) <=> v90(constB19, bitIndex2))) | (~v88(constB19, bitIndex2)) | v90(constB19, bitIndex2)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29711,plain,
% 9.40/6.98 (~v88(constB19, bitIndex2)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29710, 11294, 29709])).
% 9.40/6.98 tff(29712,plain,
% 9.40/6.98 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0)))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29713,plain,
% 9.40/6.98 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29714,plain,
% 9.40/6.98 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29713, 29712])).
% 9.40/6.98 tff(29715,plain,
% 9.40/6.98 (v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29714, 9653, 372])).
% 9.40/6.98 tff(29716,plain,
% 9.40/6.98 ((~(v88(constB19, bitIndex0) <=> v90(constB19, bitIndex0))) | v88(constB19, bitIndex0) | (~v90(constB19, bitIndex0))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29717,plain,
% 9.40/6.98 (v88(constB19, bitIndex0)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29716, 11325, 29715])).
% 9.40/6.98 tff(29718,plain,
% 9.40/6.98 ((~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)))) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29719,plain,
% 9.40/6.98 (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29718, 29674, 29717, 29711])).
% 9.40/6.98 tff(29720,plain,
% 9.40/6.98 ((~(v141(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)))))) | v141(constB19) | (v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29721,plain,
% 9.40/6.98 (v141(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29720, 29719, 29705])).
% 9.40/6.98 tff(29722,plain,
% 9.40/6.98 ((v141(constB19) | v167(constB19)) | (~v141(constB19))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29723,plain,
% 9.40/6.98 (v141(constB19) | v167(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29722, 29721])).
% 9.40/6.98 tff(29724,plain,
% 9.40/6.98 ((~(v166(constB19) <=> (v141(constB19) | v167(constB19)))) | v166(constB19) | (~(v141(constB19) | v167(constB19)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29725,plain,
% 9.40/6.98 (v166(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29724, 29723, 29703])).
% 9.40/6.98 tff(29726,plain,
% 9.40/6.98 ((v142(constB19) | v166(constB19)) | (~v166(constB19))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29727,plain,
% 9.40/6.98 (v142(constB19) | v166(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29726, 29725])).
% 9.40/6.98 tff(29728,plain,
% 9.40/6.98 ((~(v165(constB19) <=> (v142(constB19) | v166(constB19)))) | v165(constB19) | (~(v142(constB19) | v166(constB19)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29729,plain,
% 9.40/6.98 (v165(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29728, 29727, 29701])).
% 9.40/6.98 tff(29730,plain,
% 9.40/6.98 ((v145(constB19) | v165(constB19)) | (~v165(constB19))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29731,plain,
% 9.40/6.98 (v145(constB19) | v165(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29730, 29729])).
% 9.40/6.98 tff(29732,plain,
% 9.40/6.98 ((~(v164(constB19) <=> (v145(constB19) | v165(constB19)))) | v164(constB19) | (~(v145(constB19) | v165(constB19)))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29733,plain,
% 9.40/6.98 (v164(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29732, 29731, 29699])).
% 9.40/6.98 tff(29734,plain,
% 9.40/6.98 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB19)) | (v161(constB19) <=> v168(constB19)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB19)) | (v161(constB19) <=> v168(constB19)))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29735,plain,
% 9.40/6.98 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB19)) | (v161(constB19) <=> v168(constB19)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29736,plain,
% 9.40/6.98 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB19)) | (v161(constB19) <=> v168(constB19))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29735, 29734])).
% 9.40/6.98 tff(29737,plain,
% 9.40/6.98 ((~v164(constB19)) | (v161(constB19) <=> v168(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29736, 25977])).
% 9.40/6.98 tff(29738,plain,
% 9.40/6.98 (v161(constB19) <=> v168(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29737, 29733])).
% 9.40/6.98 tff(29739,plain,
% 9.40/6.98 ((~(v161(constB19) <=> v168(constB19))) | (~v161(constB19)) | v168(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29740,plain,
% 9.40/6.98 (~v161(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29739, 29738, 29697])).
% 9.40/6.98 tff(29741,plain,
% 9.40/6.98 ((~(v159(constB19) <=> v161(constB19))) | (~v159(constB19)) | v161(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29742,plain,
% 9.40/6.98 ((~(v159(constB19) <=> v161(constB19))) | (~v159(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29741, 29740])).
% 9.40/6.98 tff(29743,plain,
% 9.40/6.98 (~v159(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29742, 29666])).
% 9.40/6.98 tff(29744,plain,
% 9.40/6.98 (((~v184(constB19)) | (~v159(constB19))) | v159(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29745,plain,
% 9.40/6.98 ((~v184(constB19)) | (~v159(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29744, 29743])).
% 9.40/6.98 tff(29746,plain,
% 9.40/6.98 ((~(v187(constB19) <=> (~((~v184(constB19)) | (~v159(constB19)))))) | (~v187(constB19)) | (~((~v184(constB19)) | (~v159(constB19))))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29747,plain,
% 9.40/6.98 (~v187(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29746, 29745, 29664])).
% 9.40/6.98 tff(29748,plain,
% 9.40/6.98 (((~v186(constB19)) | (~v187(constB19))) | v187(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29749,plain,
% 9.40/6.98 ((~v186(constB19)) | (~v187(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29748, 29747])).
% 9.40/6.98 tff(29750,plain,
% 9.40/6.98 ((~(v185(constB19) <=> (~((~v186(constB19)) | (~v187(constB19)))))) | (~v185(constB19)) | (~((~v186(constB19)) | (~v187(constB19))))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29751,plain,
% 9.40/6.98 (~v185(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29750, 29749, 29662])).
% 9.40/6.98 tff(29752,plain,
% 9.40/6.98 ((~(v181(constB19) | v185(constB19))) | v181(constB19) | v185(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29753,plain,
% 9.40/6.98 (~(v181(constB19) | v185(constB19))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29752, 29751, 29660])).
% 9.40/6.98 tff(29754,plain,
% 9.40/6.98 ((~(v178(constB19) <=> (v181(constB19) | v185(constB19)))) | (~v178(constB19)) | (v181(constB19) | v185(constB19))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29755,plain,
% 9.40/6.98 (~v178(constB19)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29754, 29753, 29587])).
% 9.40/6.98 tff(29756,plain,
% 9.40/6.98 ((~(v180(constB20) <=> v178(constB19))) | (~v180(constB20)) | v178(constB19)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29757,plain,
% 9.40/6.98 (~v180(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29756, 29755, 29585])).
% 9.40/6.98 tff(29758,plain,
% 9.40/6.98 ((~(v157(constB20) <=> v180(constB20))) | (~v157(constB20)) | v180(constB20)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29759,plain,
% 9.40/6.98 (~v157(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29758, 29757, 29581])).
% 9.40/6.98 tff(29760,plain,
% 9.40/6.98 (((~v157(constB20)) | (~v182(constB20))) | v157(constB20)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29761,plain,
% 9.40/6.98 ((~v157(constB20)) | (~v182(constB20))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29760, 29759])).
% 9.40/6.98 tff(29762,plain,
% 9.40/6.98 ((~(v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20)))))) | (~v181(constB20)) | (~((~v157(constB20)) | (~v182(constB20))))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29763,plain,
% 9.40/6.98 (~v181(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29762, 29761, 29579])).
% 9.40/6.98 tff(29764,plain,
% 9.40/6.98 ((~(v181(constB20) | v185(constB20))) | v181(constB20) | v185(constB20)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29765,plain,
% 9.40/6.98 (~(v181(constB20) | v185(constB20))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29764, 29763, 29572])).
% 9.40/6.98 tff(29766,plain,
% 9.40/6.98 ((~(v178(constB20) <=> (v181(constB20) | v185(constB20)))) | (~v178(constB20)) | (v181(constB20) | v185(constB20))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29767,plain,
% 9.40/6.98 (~v178(constB20)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29766, 29765, 29547])).
% 9.40/6.98 tff(29768,plain,
% 9.40/6.98 ((~(v180(constB21) <=> v178(constB20))) | (~v180(constB21)) | v178(constB20)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29769,plain,
% 9.40/6.98 (~v180(constB21)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29768, 29767, 29545])).
% 9.40/6.98 tff(29770,plain,
% 9.40/6.98 ($false),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29769, 29541])).
% 9.40/6.98 tff(29771,plain,(~(constB21 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/6.98 tff(29772,assumption,(constB79 = VarCurr!0), introduced(assumption)).
% 9.40/6.98 tff(29773,plain,
% 9.40/6.98 (v180(constB79) <=> v180(VarCurr!0)),
% 9.40/6.98 inference(monotonicity,[status(thm)],[29772])).
% 9.40/6.98 tff(29774,plain,
% 9.40/6.98 (v180(VarCurr!0) <=> v180(constB79)),
% 9.40/6.98 inference(symmetry,[status(thm)],[29773])).
% 9.40/6.98 tff(29775,plain,
% 9.40/6.98 (v180(constB79)),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[59, 29774])).
% 9.40/6.98 tff(29776,plain,
% 9.40/6.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78)))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29777,plain,
% 9.40/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29778,plain,
% 9.40/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29777, 29776])).
% 9.40/6.98 tff(29779,plain,
% 9.40/6.98 (v180(constB79) <=> v178(constB78)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29778, 6016, 70])).
% 9.40/6.98 tff(29780,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB78) <=> (v181(constB78) | v185(constB78)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29781,plain,
% 9.40/6.98 (v178(constB78) <=> (v181(constB78) | v185(constB78))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29780, 84])).
% 9.40/6.98 tff(29782,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78)))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29783,plain,
% 9.40/6.98 (v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78))))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29782, 96])).
% 9.40/6.98 tff(29784,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB78) <=> (~((~v184(constB78)) | (~v159(constB78)))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29785,plain,
% 9.40/6.98 (v187(constB78) <=> (~((~v184(constB78)) | (~v159(constB78))))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29784, 108])).
% 9.40/6.98 tff(29786,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29787,plain,
% 9.40/6.98 (v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78))))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29786, 120])).
% 9.40/6.98 tff(29788,plain,
% 9.40/6.98 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB78)) <=> v1(constB78))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29789,plain,
% 9.40/6.98 ((~v39(constB78)) <=> v1(constB78)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29788, 129])).
% 9.40/6.98 tff(29790,plain,
% 9.40/6.98 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78)) | (~v1(constB78))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29791,plain,
% 9.40/6.98 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29790, 6078])).
% 9.40/6.98 tff(29792,plain,
% 9.40/6.98 (~v39(constB78)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29791, 29789])).
% 9.40/6.98 tff(29793,plain,
% 9.40/6.98 (((~v39(constB78)) | (~v9(constB78))) | v39(constB78)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29794,plain,
% 9.40/6.98 ((~v39(constB78)) | (~v9(constB78))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29793, 29792])).
% 9.40/6.98 tff(29795,plain,
% 9.40/6.98 ((~(v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v184(constB78)) | (~((~v39(constB78)) | (~v9(constB78))))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29796,plain,
% 9.40/6.98 ((~(v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v184(constB78))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29795, 29794])).
% 9.40/6.98 tff(29797,plain,
% 9.40/6.98 (~v184(constB78)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29796, 29787])).
% 9.40/6.98 tff(29798,plain,
% 9.40/6.98 (((~v184(constB78)) | (~v159(constB78))) | v184(constB78)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29799,plain,
% 9.40/6.98 ((~v184(constB78)) | (~v159(constB78))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29798, 29797])).
% 9.40/6.98 tff(29800,plain,
% 9.40/6.98 ((~(v187(constB78) <=> (~((~v184(constB78)) | (~v159(constB78)))))) | (~v187(constB78)) | (~((~v184(constB78)) | (~v159(constB78))))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29801,plain,
% 9.40/6.98 ((~(v187(constB78) <=> (~((~v184(constB78)) | (~v159(constB78)))))) | (~v187(constB78))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29800, 29799])).
% 9.40/6.98 tff(29802,plain,
% 9.40/6.98 (~v187(constB78)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29801, 29785])).
% 9.40/6.98 tff(29803,plain,
% 9.40/6.98 (((~v186(constB78)) | (~v187(constB78))) | v187(constB78)),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29804,plain,
% 9.40/6.98 ((~v186(constB78)) | (~v187(constB78))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29803, 29802])).
% 9.40/6.98 tff(29805,plain,
% 9.40/6.98 ((~(v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78)))))) | (~v185(constB78)) | (~((~v186(constB78)) | (~v187(constB78))))),
% 9.40/6.98 inference(tautology,[status(thm)],[])).
% 9.40/6.98 tff(29806,plain,
% 9.40/6.98 (~v185(constB78)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29805, 29804, 29783])).
% 9.40/6.98 tff(29807,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78))))))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29808,plain,
% 9.40/6.98 ((v181(constB78) <=> (~((~v182(constB78)) | (~v157(constB78))))) <=> (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78)))))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29809,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v157(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78))))))),
% 9.40/6.98 inference(monotonicity,[status(thm)],[29808])).
% 9.40/6.98 tff(29810,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v157(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78))))))),
% 9.40/6.98 inference(transitivity,[status(thm)],[29809, 29807])).
% 9.40/6.98 tff(29811,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v157(constB78)))))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29812,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78)))))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29811, 29810])).
% 9.40/6.98 tff(29813,plain,
% 9.40/6.98 (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78))))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29812, 161])).
% 9.40/6.98 tff(29814,plain,
% 9.40/6.98 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB78) <=> v180(constB78))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29815,plain,
% 9.40/6.98 (v157(constB78) <=> v180(constB78)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29814, 13])).
% 9.40/6.98 tff(29816,plain,
% 9.40/6.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77)))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29817,plain,
% 9.40/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29818,plain,
% 9.40/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77))),
% 9.40/6.98 inference(modus_ponens,[status(thm)],[29817, 29816])).
% 9.40/6.98 tff(29819,plain,
% 9.40/6.98 (v180(constB78) <=> v178(constB77)),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29818, 6048, 70])).
% 9.40/6.98 tff(29820,plain,
% 9.40/6.98 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB77) <=> (v181(constB77) | v185(constB77)))),
% 9.40/6.98 inference(quant_inst,[status(thm)],[])).
% 9.40/6.98 tff(29821,plain,
% 9.40/6.98 (v178(constB77) <=> (v181(constB77) | v185(constB77))),
% 9.40/6.98 inference(unit_resolution,[status(thm)],[29820, 84])).
% 9.40/6.98 tff(29822,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77))))))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29823,plain,
% 9.40/6.98 ((v181(constB77) <=> (~((~v182(constB77)) | (~v157(constB77))))) <=> (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77)))))),
% 9.40/6.98 inference(rewrite,[status(thm)],[])).
% 9.40/6.98 tff(29824,plain,
% 9.40/6.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v157(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77))))))),
% 9.40/6.99 inference(monotonicity,[status(thm)],[29823])).
% 9.40/6.99 tff(29825,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v157(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77))))))),
% 9.40/6.99 inference(transitivity,[status(thm)],[29824, 29822])).
% 9.40/6.99 tff(29826,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v157(constB77)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29827,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77)))))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29826, 29825])).
% 9.40/6.99 tff(29828,plain,
% 9.40/6.99 (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29827, 161])).
% 9.40/6.99 tff(29829,plain,
% 9.40/6.99 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB77)) <=> v183(constB77))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29830,plain,
% 9.40/6.99 ((~v182(constB77)) <=> v183(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29829, 193])).
% 9.40/6.99 tff(29831,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB77) <=> (v184(constB77) | v26(constB77)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29832,plain,
% 9.40/6.99 (v183(constB77) <=> (v184(constB77) | v26(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29831, 202])).
% 9.40/6.99 tff(29833,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29834,plain,
% 9.40/6.99 (v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29833, 120])).
% 9.40/6.99 tff(29835,plain,
% 9.40/6.99 (((~![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)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29836,plain,
% 9.40/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29837,plain,
% 9.40/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29836, 29835])).
% 9.40/6.99 tff(29838,plain,
% 9.40/6.99 (v13(constB78) <=> v9(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29837, 6048, 216])).
% 9.40/6.99 tff(29839,plain,
% 9.40/6.99 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB78) <=> v13(constB78))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29840,plain,
% 9.40/6.99 (v6(constB78) <=> v13(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29839, 230])).
% 9.40/6.99 tff(29841,plain,
% 9.40/6.99 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB78)) <=> v6(constB78))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29842,plain,
% 9.40/6.99 ((~v21(constB78)) <=> v6(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29841, 239])).
% 9.40/6.99 tff(29843,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB78) <=> (v20(constB78) | v21(constB78)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29844,plain,
% 9.40/6.99 (v19(constB78) <=> (v20(constB78) | v21(constB78))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29843, 248])).
% 9.40/6.99 tff(29845,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29846,plain,
% 9.40/6.99 (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29845, 260])).
% 9.40/6.99 tff(29847,plain,
% 9.40/6.99 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB78)) <=> v18(constB78))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29848,plain,
% 9.40/6.99 ((~v4(constB78)) <=> v18(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29847, 269])).
% 9.40/6.99 tff(29849,plain,
% 9.40/6.99 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB78)),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29850,plain,
% 9.40/6.99 (v4(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29849, 278])).
% 9.40/6.99 tff(29851,plain,
% 9.40/6.99 ((~((~v4(constB78)) <=> v18(constB78))) | (~v4(constB78)) | (~v18(constB78))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29852,plain,
% 9.40/6.99 (~v18(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29851, 29850, 29848])).
% 9.40/6.99 tff(29853,plain,
% 9.40/6.99 ((~(v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))) | v18(constB78) | ((~v19(constB78)) | (~v22(constB78)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29854,plain,
% 9.40/6.99 ((~v19(constB78)) | (~v22(constB78))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29853, 29852, 29846])).
% 9.40/6.99 tff(29855,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB78) <=> (v1(constB78) | v6(constB78)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29856,plain,
% 9.40/6.99 (v22(constB78) <=> (v1(constB78) | v6(constB78))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29855, 291])).
% 9.40/6.99 tff(29857,plain,
% 9.40/6.99 ((v1(constB78) | v6(constB78)) | (~v1(constB78))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29858,plain,
% 9.40/6.99 (v1(constB78) | v6(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29857, 6078])).
% 9.40/6.99 tff(29859,plain,
% 9.40/6.99 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78) | (~(v1(constB78) | v6(constB78)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29860,plain,
% 9.40/6.99 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29859, 29858])).
% 9.40/6.99 tff(29861,plain,
% 9.40/6.99 (v22(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29860, 29856])).
% 9.40/6.99 tff(29862,plain,
% 9.40/6.99 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78)) | (~v22(constB78))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29863,plain,
% 9.40/6.99 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29862, 29861])).
% 9.40/6.99 tff(29864,plain,
% 9.40/6.99 (~v19(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29863, 29854])).
% 9.40/6.99 tff(29865,plain,
% 9.40/6.99 ((~(v19(constB78) <=> (v20(constB78) | v21(constB78)))) | v19(constB78) | (~(v20(constB78) | v21(constB78)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29866,plain,
% 9.40/6.99 (~(v20(constB78) | v21(constB78))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29865, 29864, 29844])).
% 9.40/6.99 tff(29867,plain,
% 9.40/6.99 ((v20(constB78) | v21(constB78)) | (~v21(constB78))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29868,plain,
% 9.40/6.99 (~v21(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29867, 29866])).
% 9.40/6.99 tff(29869,plain,
% 9.40/6.99 ((~((~v21(constB78)) <=> v6(constB78))) | v21(constB78) | v6(constB78)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29870,plain,
% 9.40/6.99 (v6(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29869, 29868, 29842])).
% 9.40/6.99 tff(29871,plain,
% 9.40/6.99 ((~(v6(constB78) <=> v13(constB78))) | (~v6(constB78)) | v13(constB78)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29872,plain,
% 9.40/6.99 (v13(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29871, 29870, 29840])).
% 9.40/6.99 tff(29873,plain,
% 9.40/6.99 ((~(v13(constB78) <=> v9(constB77))) | (~v13(constB78)) | v9(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29874,plain,
% 9.40/6.99 (v9(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29873, 29872, 29838])).
% 9.40/6.99 tff(29875,plain,
% 9.40/6.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB77)) <=> v1(constB77))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29876,plain,
% 9.40/6.99 ((~v39(constB77)) <=> v1(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29875, 129])).
% 9.40/6.99 tff(29877,plain,
% 9.40/6.99 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77) | v1(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29878,plain,
% 9.40/6.99 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29877, 6070])).
% 9.40/6.99 tff(29879,plain,
% 9.40/6.99 (v39(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29878, 29876])).
% 9.40/6.99 tff(29880,plain,
% 9.40/6.99 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v39(constB77)) | (~v9(constB77))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29881,plain,
% 9.40/6.99 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v9(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29880, 29879])).
% 9.40/6.99 tff(29882,plain,
% 9.40/6.99 (~((~v39(constB77)) | (~v9(constB77)))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29881, 29874])).
% 9.40/6.99 tff(29883,plain,
% 9.40/6.99 ((~(v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))) | v184(constB77) | ((~v39(constB77)) | (~v9(constB77)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29884,plain,
% 9.40/6.99 (v184(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29883, 29882, 29834])).
% 9.40/6.99 tff(29885,plain,
% 9.40/6.99 ((v184(constB77) | v26(constB77)) | (~v184(constB77))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29886,plain,
% 9.40/6.99 (v184(constB77) | v26(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29885, 29884])).
% 9.40/6.99 tff(29887,plain,
% 9.40/6.99 ((~(v183(constB77) <=> (v184(constB77) | v26(constB77)))) | v183(constB77) | (~(v184(constB77) | v26(constB77)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29888,plain,
% 9.40/6.99 (v183(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29887, 29886, 29832])).
% 9.40/6.99 tff(29889,plain,
% 9.40/6.99 ((~((~v182(constB77)) <=> v183(constB77))) | (~v182(constB77)) | (~v183(constB77))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29890,plain,
% 9.40/6.99 (~v182(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29889, 29888, 29830])).
% 9.40/6.99 tff(29891,plain,
% 9.40/6.99 (((~v157(constB77)) | (~v182(constB77))) | v182(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29892,plain,
% 9.40/6.99 ((~v157(constB77)) | (~v182(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29891, 29890])).
% 9.40/6.99 tff(29893,plain,
% 9.40/6.99 ((~(v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77)))))) | (~v181(constB77)) | (~((~v157(constB77)) | (~v182(constB77))))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29894,plain,
% 9.40/6.99 (~v181(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29893, 29892, 29828])).
% 9.40/6.99 tff(29895,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29896,plain,
% 9.40/6.99 (v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29895, 96])).
% 9.40/6.99 tff(29897,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB77) <=> (~((~v184(constB77)) | (~v159(constB77)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29898,plain,
% 9.40/6.99 (v187(constB77) <=> (~((~v184(constB77)) | (~v159(constB77))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29897, 108])).
% 9.40/6.99 tff(29899,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB77) <=> v161(constB77))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29900,plain,
% 9.40/6.99 (v159(constB77) <=> v161(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29899, 345])).
% 9.40/6.99 tff(29901,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29902,plain,
% 9.40/6.99 (v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29901, 360])).
% 9.40/6.99 tff(29903,plain,
% 9.40/6.99 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29904,plain,
% 9.40/6.99 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29905,plain,
% 9.40/6.99 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29904, 29903])).
% 9.40/6.99 tff(29906,plain,
% 9.40/6.99 (v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29905, 375, 372])).
% 9.40/6.99 tff(29907,plain,
% 9.40/6.99 ((~(v88(constB77, bitIndex1) <=> v90(constB77, bitIndex1))) | v88(constB77, bitIndex1) | (~v90(constB77, bitIndex1))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29908,plain,
% 9.40/6.99 (v88(constB77, bitIndex1)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29907, 16078, 29906])).
% 9.40/6.99 tff(29909,plain,
% 9.40/6.99 ((v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)) | (~v88(constB77, bitIndex1))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29910,plain,
% 9.40/6.99 (v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29909, 29908])).
% 9.40/6.99 tff(29911,plain,
% 9.40/6.99 ((~(v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2))))) | (~v139(constB77)) | (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29912,plain,
% 9.40/6.99 (~v139(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29911, 29910, 29902])).
% 9.40/6.99 tff(29913,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))))))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29914,plain,
% 9.40/6.99 ((v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0))))) <=> (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)))))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29915,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))))))),
% 9.40/6.99 inference(monotonicity,[status(thm)],[29914])).
% 9.40/6.99 tff(29916,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))))))),
% 9.40/6.99 inference(transitivity,[status(thm)],[29915, 29913])).
% 9.40/6.99 tff(29917,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29918,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)))))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 9.40/6.99 tff(29919,plain,
% 9.40/6.99 (v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29918, 25795])).
% 9.40/6.99 tff(29920,plain,
% 9.40/6.99 ((v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))) | (~v88(constB77, bitIndex1))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29921,plain,
% 9.40/6.99 (v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29920, 29908])).
% 9.40/6.99 tff(29922,plain,
% 9.40/6.99 ((~(v140(constB77) <=> (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0)))))) | (~v140(constB77)) | (~(v88(constB77, bitIndex2) | v88(constB77, bitIndex1) | (~v88(constB77, bitIndex0))))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29923,plain,
% 9.40/6.99 (~v140(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29922, 29921, 29919])).
% 9.40/6.99 tff(29924,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB77) | v139(constB77) | (~v168(constB77)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB77) | v139(constB77) | (~v168(constB77)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29925,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB77) | v139(constB77) | (~v168(constB77)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29926,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB77) | v139(constB77) | (~v168(constB77))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29925, 29924])).
% 9.40/6.99 tff(29927,plain,
% 9.40/6.99 (v140(constB77) | v139(constB77) | (~v168(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29926, 25819])).
% 9.40/6.99 tff(29928,plain,
% 9.40/6.99 (~v168(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29927, 29923, 29912])).
% 9.40/6.99 tff(29929,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB77) <=> (v145(constB77) | v165(constB77)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29930,plain,
% 9.40/6.99 (v164(constB77) <=> (v145(constB77) | v165(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29929, 25834])).
% 9.40/6.99 tff(29931,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB77) <=> (v142(constB77) | v166(constB77)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29932,plain,
% 9.40/6.99 (v165(constB77) <=> (v142(constB77) | v166(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29931, 25846])).
% 9.40/6.99 tff(29933,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB77) <=> (v143(constB77) | v144(constB77)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29934,plain,
% 9.40/6.99 (v142(constB77) <=> (v143(constB77) | v144(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29933, 25855])).
% 9.40/6.99 tff(29935,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0)))))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29936,plain,
% 9.40/6.99 ((v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1))))) <=> (v143(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0))))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29937,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0)))))),
% 9.40/6.99 inference(monotonicity,[status(thm)],[29936])).
% 9.40/6.99 tff(29938,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0)))))),
% 9.40/6.99 inference(transitivity,[status(thm)],[29937, 29935])).
% 9.40/6.99 tff(29939,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29940,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0))))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29939, 29938])).
% 9.40/6.99 tff(29941,plain,
% 9.40/6.99 (v143(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0)))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29940, 25870])).
% 9.40/6.99 tff(29942,plain,
% 9.40/6.99 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29943,plain,
% 9.40/6.99 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29944,plain,
% 9.40/6.99 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29943, 29942])).
% 9.40/6.99 tff(29945,plain,
% 9.40/6.99 (v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29944, 648, 372])).
% 9.40/6.99 tff(29946,plain,
% 9.40/6.99 ((~(v88(constB77, bitIndex2) <=> v90(constB77, bitIndex2))) | (~v88(constB77, bitIndex2)) | v90(constB77, bitIndex2)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29947,plain,
% 9.40/6.99 (~v88(constB77, bitIndex2)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29946, 16016, 29945])).
% 9.40/6.99 tff(29948,plain,
% 9.40/6.99 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29949,plain,
% 9.40/6.99 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29950,plain,
% 9.40/6.99 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29949, 29948])).
% 9.40/6.99 tff(29951,plain,
% 9.40/6.99 (v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29950, 9653, 372])).
% 9.40/6.99 tff(29952,plain,
% 9.40/6.99 ((~(v88(constB77, bitIndex0) <=> v90(constB77, bitIndex0))) | (~v88(constB77, bitIndex0)) | v90(constB77, bitIndex0)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29953,plain,
% 9.40/6.99 (~v88(constB77, bitIndex0)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29952, 16047, 29951])).
% 9.40/6.99 tff(29954,plain,
% 9.40/6.99 ((~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0))) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29955,plain,
% 9.40/6.99 (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29954, 29908, 29953, 29947])).
% 9.40/6.99 tff(29956,plain,
% 9.40/6.99 ((~(v143(constB77) <=> (~(v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0))))) | v143(constB77) | (v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29957,plain,
% 9.40/6.99 (v143(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29956, 29955, 29941])).
% 9.40/6.99 tff(29958,plain,
% 9.40/6.99 ((v143(constB77) | v144(constB77)) | (~v143(constB77))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29959,plain,
% 9.40/6.99 (v143(constB77) | v144(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29958, 29957])).
% 9.40/6.99 tff(29960,plain,
% 9.40/6.99 ((~(v142(constB77) <=> (v143(constB77) | v144(constB77)))) | v142(constB77) | (~(v143(constB77) | v144(constB77)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29961,plain,
% 9.40/6.99 (v142(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29960, 29959, 29934])).
% 9.40/6.99 tff(29962,plain,
% 9.40/6.99 ((v142(constB77) | v166(constB77)) | (~v142(constB77))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29963,plain,
% 9.40/6.99 (v142(constB77) | v166(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29962, 29961])).
% 9.40/6.99 tff(29964,plain,
% 9.40/6.99 ((~(v165(constB77) <=> (v142(constB77) | v166(constB77)))) | v165(constB77) | (~(v142(constB77) | v166(constB77)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29965,plain,
% 9.40/6.99 (v165(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29964, 29963, 29932])).
% 9.40/6.99 tff(29966,plain,
% 9.40/6.99 ((v145(constB77) | v165(constB77)) | (~v165(constB77))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29967,plain,
% 9.40/6.99 (v145(constB77) | v165(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29966, 29965])).
% 9.40/6.99 tff(29968,plain,
% 9.40/6.99 ((~(v164(constB77) <=> (v145(constB77) | v165(constB77)))) | v164(constB77) | (~(v145(constB77) | v165(constB77)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29969,plain,
% 9.40/6.99 (v164(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29968, 29967, 29930])).
% 9.40/6.99 tff(29970,plain,
% 9.40/6.99 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB77)) | (v161(constB77) <=> v168(constB77)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB77)) | (v161(constB77) <=> v168(constB77)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(29971,plain,
% 9.40/6.99 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB77)) | (v161(constB77) <=> v168(constB77)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(29972,plain,
% 9.40/6.99 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB77)) | (v161(constB77) <=> v168(constB77))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[29971, 29970])).
% 9.40/6.99 tff(29973,plain,
% 9.40/6.99 ((~v164(constB77)) | (v161(constB77) <=> v168(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29972, 25977])).
% 9.40/6.99 tff(29974,plain,
% 9.40/6.99 (v161(constB77) <=> v168(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29973, 29969])).
% 9.40/6.99 tff(29975,plain,
% 9.40/6.99 ((~(v161(constB77) <=> v168(constB77))) | (~v161(constB77)) | v168(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29976,plain,
% 9.40/6.99 (~v161(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29975, 29974, 29928])).
% 9.40/6.99 tff(29977,plain,
% 9.40/6.99 ((~(v159(constB77) <=> v161(constB77))) | (~v159(constB77)) | v161(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29978,plain,
% 9.40/6.99 ((~(v159(constB77) <=> v161(constB77))) | (~v159(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29977, 29976])).
% 9.40/6.99 tff(29979,plain,
% 9.40/6.99 (~v159(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29978, 29900])).
% 9.40/6.99 tff(29980,plain,
% 9.40/6.99 (((~v184(constB77)) | (~v159(constB77))) | v159(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29981,plain,
% 9.40/6.99 ((~v184(constB77)) | (~v159(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29980, 29979])).
% 9.40/6.99 tff(29982,plain,
% 9.40/6.99 ((~(v187(constB77) <=> (~((~v184(constB77)) | (~v159(constB77)))))) | (~v187(constB77)) | (~((~v184(constB77)) | (~v159(constB77))))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29983,plain,
% 9.40/6.99 (~v187(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29982, 29981, 29898])).
% 9.40/6.99 tff(29984,plain,
% 9.40/6.99 (((~v186(constB77)) | (~v187(constB77))) | v187(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29985,plain,
% 9.40/6.99 ((~v186(constB77)) | (~v187(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29984, 29983])).
% 9.40/6.99 tff(29986,plain,
% 9.40/6.99 ((~(v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77)))))) | (~v185(constB77)) | (~((~v186(constB77)) | (~v187(constB77))))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29987,plain,
% 9.40/6.99 (~v185(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29986, 29985, 29896])).
% 9.40/6.99 tff(29988,plain,
% 9.40/6.99 ((~(v181(constB77) | v185(constB77))) | v181(constB77) | v185(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29989,plain,
% 9.40/6.99 (~(v181(constB77) | v185(constB77))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29988, 29987, 29894])).
% 9.40/6.99 tff(29990,plain,
% 9.40/6.99 ((~(v178(constB77) <=> (v181(constB77) | v185(constB77)))) | (~v178(constB77)) | (v181(constB77) | v185(constB77))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29991,plain,
% 9.40/6.99 (~v178(constB77)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29990, 29989, 29821])).
% 9.40/6.99 tff(29992,plain,
% 9.40/6.99 ((~(v180(constB78) <=> v178(constB77))) | (~v180(constB78)) | v178(constB77)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29993,plain,
% 9.40/6.99 (~v180(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29992, 29991, 29819])).
% 9.40/6.99 tff(29994,plain,
% 9.40/6.99 ((~(v157(constB78) <=> v180(constB78))) | (~v157(constB78)) | v180(constB78)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29995,plain,
% 9.40/6.99 (~v157(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29994, 29993, 29815])).
% 9.40/6.99 tff(29996,plain,
% 9.40/6.99 (((~v157(constB78)) | (~v182(constB78))) | v157(constB78)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29997,plain,
% 9.40/6.99 ((~v157(constB78)) | (~v182(constB78))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29996, 29995])).
% 9.40/6.99 tff(29998,plain,
% 9.40/6.99 ((~(v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78)))))) | (~v181(constB78)) | (~((~v157(constB78)) | (~v182(constB78))))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(29999,plain,
% 9.40/6.99 (~v181(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[29998, 29997, 29813])).
% 9.40/6.99 tff(30000,plain,
% 9.40/6.99 ((~(v181(constB78) | v185(constB78))) | v181(constB78) | v185(constB78)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30001,plain,
% 9.40/6.99 (~(v181(constB78) | v185(constB78))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30000, 29999, 29806])).
% 9.40/6.99 tff(30002,plain,
% 9.40/6.99 ((~(v178(constB78) <=> (v181(constB78) | v185(constB78)))) | (~v178(constB78)) | (v181(constB78) | v185(constB78))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30003,plain,
% 9.40/6.99 (~v178(constB78)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30002, 30001, 29781])).
% 9.40/6.99 tff(30004,plain,
% 9.40/6.99 ((~(v180(constB79) <=> v178(constB78))) | (~v180(constB79)) | v178(constB78)),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30005,plain,
% 9.40/6.99 (~v180(constB79)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30004, 30003, 29779])).
% 9.40/6.99 tff(30006,plain,
% 9.40/6.99 ($false),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30005, 29775])).
% 9.40/6.99 tff(30007,plain,(~(constB79 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/6.99 tff(30008,assumption,(constB173 = VarCurr!0), introduced(assumption)).
% 9.40/6.99 tff(30009,plain,
% 9.40/6.99 (v86(constB173) <=> v86(VarCurr!0)),
% 9.40/6.99 inference(monotonicity,[status(thm)],[30008])).
% 9.40/6.99 tff(30010,plain,
% 9.40/6.99 (v86(VarCurr!0) <=> v86(constB173)),
% 9.40/6.99 inference(symmetry,[status(thm)],[30009])).
% 9.40/6.99 tff(30011,plain,
% 9.40/6.99 ((~v86(VarCurr!0)) <=> (~v86(constB173))),
% 9.40/6.99 inference(monotonicity,[status(thm)],[30010])).
% 9.40/6.99 tff(30012,plain,
% 9.40/6.99 (~v86(constB173)),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[26079, 30011])).
% 9.40/6.99 tff(30013,plain,
% 9.40/6.99 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB173) | (~v142(constB173)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB173) | (~v142(constB173)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(30014,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB173) | (~v142(constB173)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30015,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB173) | (~v142(constB173))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[30014, 30013])).
% 9.40/6.99 tff(30016,plain,
% 9.40/6.99 (v148(constB173) | (~v142(constB173))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30015, 26138])).
% 9.40/6.99 tff(30017,plain,
% 9.40/6.99 (v148(constB173)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30016, 28996])).
% 9.40/6.99 tff(30018,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB173) <=> (v136(constB173) | v145(constB173)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30019,plain,
% 9.40/6.99 (v135(constB173) <=> (v136(constB173) | v145(constB173))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30018, 26150])).
% 9.40/6.99 tff(30020,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB173) <=> (v137(constB173) | v142(constB173)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30021,plain,
% 9.40/6.99 (v136(constB173) <=> (v137(constB173) | v142(constB173))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30020, 26159])).
% 9.40/6.99 tff(30022,plain,
% 9.40/6.99 ((v137(constB173) | v142(constB173)) | (~v142(constB173))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30023,plain,
% 9.40/6.99 (v137(constB173) | v142(constB173)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30022, 28996])).
% 9.40/6.99 tff(30024,plain,
% 9.40/6.99 ((~(v136(constB173) <=> (v137(constB173) | v142(constB173)))) | v136(constB173) | (~(v137(constB173) | v142(constB173)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30025,plain,
% 9.40/6.99 (v136(constB173)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30024, 30023, 30021])).
% 9.40/6.99 tff(30026,plain,
% 9.40/6.99 ((v136(constB173) | v145(constB173)) | (~v136(constB173))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30027,plain,
% 9.40/6.99 (v136(constB173) | v145(constB173)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30026, 30025])).
% 9.40/6.99 tff(30028,plain,
% 9.40/6.99 ((~(v135(constB173) <=> (v136(constB173) | v145(constB173)))) | v135(constB173) | (~(v136(constB173) | v145(constB173)))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30029,plain,
% 9.40/6.99 (v135(constB173)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30028, 30027, 30019])).
% 9.40/6.99 tff(30030,plain,
% 9.40/6.99 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB173)) | (v86(constB173) <=> v148(constB173)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB173)) | (v86(constB173) <=> v148(constB173)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(30031,plain,
% 9.40/6.99 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB173)) | (v86(constB173) <=> v148(constB173)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30032,plain,
% 9.40/6.99 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB173)) | (v86(constB173) <=> v148(constB173))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[30031, 30030])).
% 9.40/6.99 tff(30033,plain,
% 9.40/6.99 ((~v135(constB173)) | (v86(constB173) <=> v148(constB173))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30032, 26179])).
% 9.40/6.99 tff(30034,plain,
% 9.40/6.99 (v86(constB173) <=> v148(constB173)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30033, 30029])).
% 9.40/6.99 tff(30035,plain,
% 9.40/6.99 ((~(v86(constB173) <=> v148(constB173))) | v86(constB173) | (~v148(constB173))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30036,plain,
% 9.40/6.99 (v86(constB173)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30035, 30034, 30017])).
% 9.40/6.99 tff(30037,plain,
% 9.40/6.99 ($false),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30036, 30012])).
% 9.40/6.99 tff(30038,plain,(~(constB173 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/6.99 tff(30039,assumption,(constB23 = VarCurr!0), introduced(assumption)).
% 9.40/6.99 tff(30040,plain,
% 9.40/6.99 (v180(constB23) <=> v180(VarCurr!0)),
% 9.40/6.99 inference(monotonicity,[status(thm)],[30039])).
% 9.40/6.99 tff(30041,plain,
% 9.40/6.99 (v180(VarCurr!0) <=> v180(constB23)),
% 9.40/6.99 inference(symmetry,[status(thm)],[30040])).
% 9.40/6.99 tff(30042,plain,
% 9.40/6.99 (v180(constB23)),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[59, 30041])).
% 9.40/6.99 tff(30043,plain,
% 9.40/6.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22)))),
% 9.40/6.99 inference(rewrite,[status(thm)],[])).
% 9.40/6.99 tff(30044,plain,
% 9.40/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30045,plain,
% 9.40/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22))),
% 9.40/6.99 inference(modus_ponens,[status(thm)],[30044, 30043])).
% 9.40/6.99 tff(30046,plain,
% 9.40/6.99 (v180(constB23) <=> v178(constB22)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30045, 8592, 70])).
% 9.40/6.99 tff(30047,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB22) <=> (v181(constB22) | v185(constB22)))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30048,plain,
% 9.40/6.99 (v178(constB22) <=> (v181(constB22) | v185(constB22))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30047, 84])).
% 9.40/6.99 tff(30049,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30050,plain,
% 9.40/6.99 (v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30049, 96])).
% 9.40/6.99 tff(30051,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB22) <=> (~((~v184(constB22)) | (~v159(constB22)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30052,plain,
% 9.40/6.99 (v187(constB22) <=> (~((~v184(constB22)) | (~v159(constB22))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30051, 108])).
% 9.40/6.99 tff(30053,plain,
% 9.40/6.99 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30054,plain,
% 9.40/6.99 (v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22))))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30053, 120])).
% 9.40/6.99 tff(30055,plain,
% 9.40/6.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB22)) <=> v1(constB22))),
% 9.40/6.99 inference(quant_inst,[status(thm)],[])).
% 9.40/6.99 tff(30056,plain,
% 9.40/6.99 ((~v39(constB22)) <=> v1(constB22)),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30055, 129])).
% 9.40/6.99 tff(30057,plain,
% 9.40/6.99 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22)) | (~v1(constB22))),
% 9.40/6.99 inference(tautology,[status(thm)],[])).
% 9.40/6.99 tff(30058,plain,
% 9.40/6.99 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22))),
% 9.40/6.99 inference(unit_resolution,[status(thm)],[30057, 8654])).
% 9.40/6.99 tff(30059,plain,
% 9.40/7.00 (~v39(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30058, 30056])).
% 9.40/7.00 tff(30060,plain,
% 9.40/7.00 (((~v39(constB22)) | (~v9(constB22))) | v39(constB22)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30061,plain,
% 9.40/7.00 ((~v39(constB22)) | (~v9(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30060, 30059])).
% 9.40/7.00 tff(30062,plain,
% 9.40/7.00 ((~(v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v184(constB22)) | (~((~v39(constB22)) | (~v9(constB22))))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30063,plain,
% 9.40/7.00 ((~(v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v184(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30062, 30061])).
% 9.40/7.00 tff(30064,plain,
% 9.40/7.00 (~v184(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30063, 30054])).
% 9.40/7.00 tff(30065,plain,
% 9.40/7.00 (((~v184(constB22)) | (~v159(constB22))) | v184(constB22)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30066,plain,
% 9.40/7.00 ((~v184(constB22)) | (~v159(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30065, 30064])).
% 9.40/7.00 tff(30067,plain,
% 9.40/7.00 ((~(v187(constB22) <=> (~((~v184(constB22)) | (~v159(constB22)))))) | (~v187(constB22)) | (~((~v184(constB22)) | (~v159(constB22))))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30068,plain,
% 9.40/7.00 ((~(v187(constB22) <=> (~((~v184(constB22)) | (~v159(constB22)))))) | (~v187(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30067, 30066])).
% 9.40/7.00 tff(30069,plain,
% 9.40/7.00 (~v187(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30068, 30052])).
% 9.40/7.00 tff(30070,plain,
% 9.40/7.00 (((~v186(constB22)) | (~v187(constB22))) | v187(constB22)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30071,plain,
% 9.40/7.00 ((~v186(constB22)) | (~v187(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30070, 30069])).
% 9.40/7.00 tff(30072,plain,
% 9.40/7.00 ((~(v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22)))))) | (~v185(constB22)) | (~((~v186(constB22)) | (~v187(constB22))))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30073,plain,
% 9.40/7.00 (~v185(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30072, 30071, 30050])).
% 9.40/7.00 tff(30074,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22))))))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30075,plain,
% 9.40/7.00 ((v181(constB22) <=> (~((~v182(constB22)) | (~v157(constB22))))) <=> (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22)))))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30076,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22))))))),
% 9.40/7.00 inference(monotonicity,[status(thm)],[30075])).
% 9.40/7.00 tff(30077,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22))))))),
% 9.40/7.00 inference(transitivity,[status(thm)],[30076, 30074])).
% 9.40/7.00 tff(30078,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v157(constB22)))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30079,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22)))))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30078, 30077])).
% 9.40/7.00 tff(30080,plain,
% 9.40/7.00 (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22))))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30079, 161])).
% 9.40/7.00 tff(30081,plain,
% 9.40/7.00 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB22) <=> v180(constB22))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30082,plain,
% 9.40/7.00 (v157(constB22) <=> v180(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30081, 13])).
% 9.40/7.00 tff(30083,plain,
% 9.40/7.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21)))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30084,plain,
% 9.40/7.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30085,plain,
% 9.40/7.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30084, 30083])).
% 9.40/7.00 tff(30086,plain,
% 9.40/7.00 (v180(constB22) <=> v178(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30085, 8624, 70])).
% 9.40/7.00 tff(30087,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB21) <=> (v181(constB21) | v185(constB21)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30088,plain,
% 9.40/7.00 (v178(constB21) <=> (v181(constB21) | v185(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30087, 84])).
% 9.40/7.00 tff(30089,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21))))))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30090,plain,
% 9.40/7.00 ((v181(constB21) <=> (~((~v182(constB21)) | (~v157(constB21))))) <=> (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21)))))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30091,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21))))))),
% 9.40/7.00 inference(monotonicity,[status(thm)],[30090])).
% 9.40/7.00 tff(30092,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21))))))),
% 9.40/7.00 inference(transitivity,[status(thm)],[30091, 30089])).
% 9.40/7.00 tff(30093,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v157(constB21)))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30094,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21)))))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30093, 30092])).
% 9.40/7.00 tff(30095,plain,
% 9.40/7.00 (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21))))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30094, 161])).
% 9.40/7.00 tff(30096,plain,
% 9.40/7.00 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB21)) <=> v183(constB21))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30097,plain,
% 9.40/7.00 ((~v182(constB21)) <=> v183(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30096, 193])).
% 9.40/7.00 tff(30098,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB21) <=> (v184(constB21) | v26(constB21)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30099,plain,
% 9.40/7.00 (v183(constB21) <=> (v184(constB21) | v26(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30098, 202])).
% 9.40/7.00 tff(30100,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30101,plain,
% 9.40/7.00 (v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21))))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30100, 120])).
% 9.40/7.00 tff(30102,plain,
% 9.40/7.00 (((~![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)))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30103,plain,
% 9.40/7.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30104,plain,
% 9.40/7.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30103, 30102])).
% 9.40/7.00 tff(30105,plain,
% 9.40/7.00 (v13(constB22) <=> v9(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30104, 8624, 216])).
% 9.40/7.00 tff(30106,plain,
% 9.40/7.00 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB22) <=> v13(constB22))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30107,plain,
% 9.40/7.00 (v6(constB22) <=> v13(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30106, 230])).
% 9.40/7.00 tff(30108,plain,
% 9.40/7.00 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB22)) <=> v6(constB22))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30109,plain,
% 9.40/7.00 ((~v21(constB22)) <=> v6(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30108, 239])).
% 9.40/7.00 tff(30110,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB22) <=> (v20(constB22) | v21(constB22)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30111,plain,
% 9.40/7.00 (v19(constB22) <=> (v20(constB22) | v21(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30110, 248])).
% 9.40/7.00 tff(30112,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30113,plain,
% 9.40/7.00 (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22))))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30112, 260])).
% 9.40/7.00 tff(30114,plain,
% 9.40/7.00 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB22)) <=> v18(constB22))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30115,plain,
% 9.40/7.00 ((~v4(constB22)) <=> v18(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30114, 269])).
% 9.40/7.00 tff(30116,plain,
% 9.40/7.00 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB22)),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30117,plain,
% 9.40/7.00 (v4(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30116, 278])).
% 9.40/7.00 tff(30118,plain,
% 9.40/7.00 ((~((~v4(constB22)) <=> v18(constB22))) | (~v4(constB22)) | (~v18(constB22))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30119,plain,
% 9.40/7.00 (~v18(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30118, 30117, 30115])).
% 9.40/7.00 tff(30120,plain,
% 9.40/7.00 ((~(v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))) | v18(constB22) | ((~v19(constB22)) | (~v22(constB22)))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30121,plain,
% 9.40/7.00 ((~v19(constB22)) | (~v22(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30120, 30119, 30113])).
% 9.40/7.00 tff(30122,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB22) <=> (v1(constB22) | v6(constB22)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30123,plain,
% 9.40/7.00 (v22(constB22) <=> (v1(constB22) | v6(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30122, 291])).
% 9.40/7.00 tff(30124,plain,
% 9.40/7.00 ((v1(constB22) | v6(constB22)) | (~v1(constB22))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30125,plain,
% 9.40/7.00 (v1(constB22) | v6(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30124, 8654])).
% 9.40/7.00 tff(30126,plain,
% 9.40/7.00 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22) | (~(v1(constB22) | v6(constB22)))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30127,plain,
% 9.40/7.00 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30126, 30125])).
% 9.40/7.00 tff(30128,plain,
% 9.40/7.00 (v22(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30127, 30123])).
% 9.40/7.00 tff(30129,plain,
% 9.40/7.00 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22)) | (~v22(constB22))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30130,plain,
% 9.40/7.00 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30129, 30128])).
% 9.40/7.00 tff(30131,plain,
% 9.40/7.00 (~v19(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30130, 30121])).
% 9.40/7.00 tff(30132,plain,
% 9.40/7.00 ((~(v19(constB22) <=> (v20(constB22) | v21(constB22)))) | v19(constB22) | (~(v20(constB22) | v21(constB22)))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30133,plain,
% 9.40/7.00 (~(v20(constB22) | v21(constB22))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30132, 30131, 30111])).
% 9.40/7.00 tff(30134,plain,
% 9.40/7.00 ((v20(constB22) | v21(constB22)) | (~v21(constB22))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30135,plain,
% 9.40/7.00 (~v21(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30134, 30133])).
% 9.40/7.00 tff(30136,plain,
% 9.40/7.00 ((~((~v21(constB22)) <=> v6(constB22))) | v21(constB22) | v6(constB22)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30137,plain,
% 9.40/7.00 (v6(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30136, 30135, 30109])).
% 9.40/7.00 tff(30138,plain,
% 9.40/7.00 ((~(v6(constB22) <=> v13(constB22))) | (~v6(constB22)) | v13(constB22)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30139,plain,
% 9.40/7.00 (v13(constB22)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30138, 30137, 30107])).
% 9.40/7.00 tff(30140,plain,
% 9.40/7.00 ((~(v13(constB22) <=> v9(constB21))) | (~v13(constB22)) | v9(constB21)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30141,plain,
% 9.40/7.00 (v9(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30140, 30139, 30105])).
% 9.40/7.00 tff(30142,plain,
% 9.40/7.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB21)) <=> v1(constB21))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30143,plain,
% 9.40/7.00 ((~v39(constB21)) <=> v1(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30142, 129])).
% 9.40/7.00 tff(30144,plain,
% 9.40/7.00 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21) | v1(constB21)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30145,plain,
% 9.40/7.00 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30144, 8646])).
% 9.40/7.00 tff(30146,plain,
% 9.40/7.00 (v39(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30145, 30143])).
% 9.40/7.00 tff(30147,plain,
% 9.40/7.00 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v39(constB21)) | (~v9(constB21))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30148,plain,
% 9.40/7.00 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v9(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30147, 30146])).
% 9.40/7.00 tff(30149,plain,
% 9.40/7.00 (~((~v39(constB21)) | (~v9(constB21)))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30148, 30141])).
% 9.40/7.00 tff(30150,plain,
% 9.40/7.00 ((~(v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))) | v184(constB21) | ((~v39(constB21)) | (~v9(constB21)))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30151,plain,
% 9.40/7.00 (v184(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30150, 30149, 30101])).
% 9.40/7.00 tff(30152,plain,
% 9.40/7.00 ((v184(constB21) | v26(constB21)) | (~v184(constB21))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30153,plain,
% 9.40/7.00 (v184(constB21) | v26(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30152, 30151])).
% 9.40/7.00 tff(30154,plain,
% 9.40/7.00 ((~(v183(constB21) <=> (v184(constB21) | v26(constB21)))) | v183(constB21) | (~(v184(constB21) | v26(constB21)))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30155,plain,
% 9.40/7.00 (v183(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30154, 30153, 30099])).
% 9.40/7.00 tff(30156,plain,
% 9.40/7.00 ((~((~v182(constB21)) <=> v183(constB21))) | (~v182(constB21)) | (~v183(constB21))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30157,plain,
% 9.40/7.00 (~v182(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30156, 30155, 30097])).
% 9.40/7.00 tff(30158,plain,
% 9.40/7.00 (((~v157(constB21)) | (~v182(constB21))) | v182(constB21)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30159,plain,
% 9.40/7.00 ((~v157(constB21)) | (~v182(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30158, 30157])).
% 9.40/7.00 tff(30160,plain,
% 9.40/7.00 ((~(v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21)))))) | (~v181(constB21)) | (~((~v157(constB21)) | (~v182(constB21))))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30161,plain,
% 9.40/7.00 (~v181(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30160, 30159, 30095])).
% 9.40/7.00 tff(30162,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21)))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30163,plain,
% 9.40/7.00 (v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21))))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30162, 96])).
% 9.40/7.00 tff(30164,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB21) <=> (~((~v184(constB21)) | (~v159(constB21)))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30165,plain,
% 9.40/7.00 (v187(constB21) <=> (~((~v184(constB21)) | (~v159(constB21))))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30164, 108])).
% 9.40/7.00 tff(30166,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB21) <=> v161(constB21))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30167,plain,
% 9.40/7.00 (v159(constB21) <=> v161(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30166, 345])).
% 9.40/7.00 tff(30168,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30169,plain,
% 9.40/7.00 (v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30168, 360])).
% 9.40/7.00 tff(30170,plain,
% 9.40/7.00 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2)))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30171,plain,
% 9.40/7.00 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30172,plain,
% 9.40/7.00 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 9.40/7.00 tff(30173,plain,
% 9.40/7.00 (v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30172, 648, 372])).
% 9.40/7.00 tff(30174,plain,
% 9.40/7.00 ((~(v88(constB21, bitIndex2) <=> v90(constB21, bitIndex2))) | v88(constB21, bitIndex2) | (~v90(constB21, bitIndex2))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30175,plain,
% 9.40/7.00 (v88(constB21, bitIndex2)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30174, 11448, 30173])).
% 9.40/7.00 tff(30176,plain,
% 9.40/7.00 ((v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)) | (~v88(constB21, bitIndex2))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30177,plain,
% 9.40/7.00 (v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30176, 30175])).
% 9.40/7.00 tff(30178,plain,
% 9.40/7.00 ((~(v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2))))) | (~v139(constB21)) | (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30179,plain,
% 9.40/7.00 (~v139(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30178, 30177, 30169])).
% 9.40/7.00 tff(30180,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))))))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30181,plain,
% 9.40/7.00 ((v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))))) <=> (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0)))))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30182,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))))))),
% 9.40/7.00 inference(monotonicity,[status(thm)],[30181])).
% 9.40/7.00 tff(30183,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))))))),
% 9.40/7.00 inference(transitivity,[status(thm)],[30182, 30180])).
% 9.40/7.00 tff(30184,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30185,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0)))))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30184, 30183])).
% 9.40/7.00 tff(30186,plain,
% 9.40/7.00 (v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30185, 25795])).
% 9.40/7.00 tff(30187,plain,
% 9.40/7.00 ((v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))) | (~v88(constB21, bitIndex2))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30188,plain,
% 9.40/7.00 (v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30187, 30175])).
% 9.40/7.00 tff(30189,plain,
% 9.40/7.00 ((~(v140(constB21) <=> (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0)))))) | (~v140(constB21)) | (~(v88(constB21, bitIndex2) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex0))))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30190,plain,
% 9.40/7.00 (~v140(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30189, 30188, 30186])).
% 9.40/7.00 tff(30191,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v168(constB21)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB21) | v140(constB21) | (~v168(constB21)))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30192,plain,
% 9.40/7.00 ((v140(constB21) | v139(constB21) | (~v168(constB21))) <=> (v139(constB21) | v140(constB21) | (~v168(constB21)))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30193,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v168(constB21)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v168(constB21))))),
% 9.40/7.00 inference(monotonicity,[status(thm)],[30192])).
% 9.40/7.00 tff(30194,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v168(constB21)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB21) | v140(constB21) | (~v168(constB21)))),
% 9.40/7.00 inference(transitivity,[status(thm)],[30193, 30191])).
% 9.40/7.00 tff(30195,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v168(constB21)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30196,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB21) | v140(constB21) | (~v168(constB21))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30195, 30194])).
% 9.40/7.00 tff(30197,plain,
% 9.40/7.00 (v139(constB21) | v140(constB21) | (~v168(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30196, 25819])).
% 9.40/7.00 tff(30198,plain,
% 9.40/7.00 (~v168(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30197, 30190, 30179])).
% 9.40/7.00 tff(30199,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB21) <=> (v145(constB21) | v165(constB21)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30200,plain,
% 9.40/7.00 (v164(constB21) <=> (v145(constB21) | v165(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30199, 25834])).
% 9.40/7.00 tff(30201,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB21) <=> (v146(constB21) | v147(constB21)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30202,plain,
% 9.40/7.00 (v145(constB21) <=> (v146(constB21) | v147(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30201, 27691])).
% 9.40/7.00 tff(30203,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0)))))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30204,plain,
% 9.40/7.00 ((v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2))))) <=> (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30205,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0)))))),
% 9.40/7.00 inference(monotonicity,[status(thm)],[30204])).
% 9.40/7.00 tff(30206,plain,
% 9.40/7.00 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0)))))),
% 9.40/7.00 inference(transitivity,[status(thm)],[30205, 30203])).
% 9.40/7.00 tff(30207,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)))))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30208,plain,
% 9.40/7.00 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30207, 30206])).
% 9.40/7.00 tff(30209,plain,
% 9.40/7.00 (v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0)))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30208, 27706])).
% 9.40/7.00 tff(30210,plain,
% 9.40/7.00 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0)))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30211,plain,
% 9.40/7.00 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30212,plain,
% 9.40/7.00 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30211, 30210])).
% 9.40/7.00 tff(30213,plain,
% 9.40/7.00 (v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30212, 9653, 372])).
% 9.40/7.00 tff(30214,plain,
% 9.40/7.00 ((~(v88(constB21, bitIndex0) <=> v90(constB21, bitIndex0))) | (~v88(constB21, bitIndex0)) | v90(constB21, bitIndex0)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30215,plain,
% 9.40/7.00 (~v88(constB21, bitIndex0)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30214, 11479, 30213])).
% 9.40/7.00 tff(30216,plain,
% 9.40/7.00 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1)))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30217,plain,
% 9.40/7.00 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30218,plain,
% 9.40/7.00 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30217, 30216])).
% 9.40/7.00 tff(30219,plain,
% 9.40/7.00 (v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30218, 375, 372])).
% 9.40/7.00 tff(30220,plain,
% 9.40/7.00 ((~(v88(constB21, bitIndex1) <=> v90(constB21, bitIndex1))) | (~v88(constB21, bitIndex1)) | v90(constB21, bitIndex1)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30221,plain,
% 9.40/7.00 (~v88(constB21, bitIndex1)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30220, 11510, 30219])).
% 9.40/7.00 tff(30222,plain,
% 9.40/7.00 ((~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30223,plain,
% 9.40/7.00 (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30222, 30221, 30215, 30175])).
% 9.40/7.00 tff(30224,plain,
% 9.40/7.00 ((~(v146(constB21) <=> (~((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))))) | v146(constB21) | ((~v88(constB21, bitIndex2)) | v88(constB21, bitIndex1) | v88(constB21, bitIndex0))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30225,plain,
% 9.40/7.00 (v146(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30224, 30223, 30209])).
% 9.40/7.00 tff(30226,plain,
% 9.40/7.00 ((v146(constB21) | v147(constB21)) | (~v146(constB21))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30227,plain,
% 9.40/7.00 (v146(constB21) | v147(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30226, 30225])).
% 9.40/7.00 tff(30228,plain,
% 9.40/7.00 ((~(v145(constB21) <=> (v146(constB21) | v147(constB21)))) | v145(constB21) | (~(v146(constB21) | v147(constB21)))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30229,plain,
% 9.40/7.00 (v145(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30228, 30227, 30202])).
% 9.40/7.00 tff(30230,plain,
% 9.40/7.00 ((v145(constB21) | v165(constB21)) | (~v145(constB21))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30231,plain,
% 9.40/7.00 (v145(constB21) | v165(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30230, 30229])).
% 9.40/7.00 tff(30232,plain,
% 9.40/7.00 ((~(v164(constB21) <=> (v145(constB21) | v165(constB21)))) | v164(constB21) | (~(v145(constB21) | v165(constB21)))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30233,plain,
% 9.40/7.00 (v164(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30232, 30231, 30200])).
% 9.40/7.00 tff(30234,plain,
% 9.40/7.00 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB21)) | (v161(constB21) <=> v168(constB21)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB21)) | (v161(constB21) <=> v168(constB21)))),
% 9.40/7.00 inference(rewrite,[status(thm)],[])).
% 9.40/7.00 tff(30235,plain,
% 9.40/7.00 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB21)) | (v161(constB21) <=> v168(constB21)))),
% 9.40/7.00 inference(quant_inst,[status(thm)],[])).
% 9.40/7.00 tff(30236,plain,
% 9.40/7.00 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB21)) | (v161(constB21) <=> v168(constB21))),
% 9.40/7.00 inference(modus_ponens,[status(thm)],[30235, 30234])).
% 9.40/7.00 tff(30237,plain,
% 9.40/7.00 ((~v164(constB21)) | (v161(constB21) <=> v168(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30236, 25977])).
% 9.40/7.00 tff(30238,plain,
% 9.40/7.00 (v161(constB21) <=> v168(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30237, 30233])).
% 9.40/7.00 tff(30239,plain,
% 9.40/7.00 ((~(v161(constB21) <=> v168(constB21))) | (~v161(constB21)) | v168(constB21)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30240,plain,
% 9.40/7.00 (~v161(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30239, 30238, 30198])).
% 9.40/7.00 tff(30241,plain,
% 9.40/7.00 ((~(v159(constB21) <=> v161(constB21))) | (~v159(constB21)) | v161(constB21)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30242,plain,
% 9.40/7.00 ((~(v159(constB21) <=> v161(constB21))) | (~v159(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30241, 30240])).
% 9.40/7.00 tff(30243,plain,
% 9.40/7.00 (~v159(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30242, 30167])).
% 9.40/7.00 tff(30244,plain,
% 9.40/7.00 (((~v184(constB21)) | (~v159(constB21))) | v159(constB21)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30245,plain,
% 9.40/7.00 ((~v184(constB21)) | (~v159(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30244, 30243])).
% 9.40/7.00 tff(30246,plain,
% 9.40/7.00 ((~(v187(constB21) <=> (~((~v184(constB21)) | (~v159(constB21)))))) | (~v187(constB21)) | (~((~v184(constB21)) | (~v159(constB21))))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30247,plain,
% 9.40/7.00 (~v187(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30246, 30245, 30165])).
% 9.40/7.00 tff(30248,plain,
% 9.40/7.00 (((~v186(constB21)) | (~v187(constB21))) | v187(constB21)),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30249,plain,
% 9.40/7.00 ((~v186(constB21)) | (~v187(constB21))),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30248, 30247])).
% 9.40/7.00 tff(30250,plain,
% 9.40/7.00 ((~(v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21)))))) | (~v185(constB21)) | (~((~v186(constB21)) | (~v187(constB21))))),
% 9.40/7.00 inference(tautology,[status(thm)],[])).
% 9.40/7.00 tff(30251,plain,
% 9.40/7.00 (~v185(constB21)),
% 9.40/7.00 inference(unit_resolution,[status(thm)],[30250, 30249, 30163])).
% 9.40/7.00 tff(30252,plain,
% 9.40/7.00 ((~(v181(constB21) | v185(constB21))) | v181(constB21) | v185(constB21)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30253,plain,
% 9.40/7.01 (~(v181(constB21) | v185(constB21))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30252, 30251, 30161])).
% 9.40/7.01 tff(30254,plain,
% 9.40/7.01 ((~(v178(constB21) <=> (v181(constB21) | v185(constB21)))) | (~v178(constB21)) | (v181(constB21) | v185(constB21))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30255,plain,
% 9.40/7.01 (~v178(constB21)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30254, 30253, 30088])).
% 9.40/7.01 tff(30256,plain,
% 9.40/7.01 ((~(v180(constB22) <=> v178(constB21))) | (~v180(constB22)) | v178(constB21)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30257,plain,
% 9.40/7.01 (~v180(constB22)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30256, 30255, 30086])).
% 9.40/7.01 tff(30258,plain,
% 9.40/7.01 ((~(v157(constB22) <=> v180(constB22))) | (~v157(constB22)) | v180(constB22)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30259,plain,
% 9.40/7.01 (~v157(constB22)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30258, 30257, 30082])).
% 9.40/7.01 tff(30260,plain,
% 9.40/7.01 (((~v157(constB22)) | (~v182(constB22))) | v157(constB22)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30261,plain,
% 9.40/7.01 ((~v157(constB22)) | (~v182(constB22))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30260, 30259])).
% 9.40/7.01 tff(30262,plain,
% 9.40/7.01 ((~(v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22)))))) | (~v181(constB22)) | (~((~v157(constB22)) | (~v182(constB22))))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30263,plain,
% 9.40/7.01 (~v181(constB22)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30262, 30261, 30080])).
% 9.40/7.01 tff(30264,plain,
% 9.40/7.01 ((~(v181(constB22) | v185(constB22))) | v181(constB22) | v185(constB22)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30265,plain,
% 9.40/7.01 (~(v181(constB22) | v185(constB22))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30264, 30263, 30073])).
% 9.40/7.01 tff(30266,plain,
% 9.40/7.01 ((~(v178(constB22) <=> (v181(constB22) | v185(constB22)))) | (~v178(constB22)) | (v181(constB22) | v185(constB22))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30267,plain,
% 9.40/7.01 (~v178(constB22)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30266, 30265, 30048])).
% 9.40/7.01 tff(30268,plain,
% 9.40/7.01 ((~(v180(constB23) <=> v178(constB22))) | (~v180(constB23)) | v178(constB22)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30269,plain,
% 9.40/7.01 (~v180(constB23)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30268, 30267, 30046])).
% 9.40/7.01 tff(30270,plain,
% 9.40/7.01 ($false),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30269, 30042])).
% 9.40/7.01 tff(30271,plain,(~(constB23 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/7.01 tff(30272,assumption,(constB63 = VarCurr!0), introduced(assumption)).
% 9.40/7.01 tff(30273,plain,
% 9.40/7.01 (v180(constB63) <=> v180(VarCurr!0)),
% 9.40/7.01 inference(monotonicity,[status(thm)],[30272])).
% 9.40/7.01 tff(30274,plain,
% 9.40/7.01 (v180(VarCurr!0) <=> v180(constB63)),
% 9.40/7.01 inference(symmetry,[status(thm)],[30273])).
% 9.40/7.01 tff(30275,plain,
% 9.40/7.01 (v180(constB63)),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[59, 30274])).
% 9.40/7.01 tff(30276,plain,
% 9.40/7.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB62, constB63)) | (v180(constB63) <=> v178(constB62)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB62, constB63)) | (v180(constB63) <=> v178(constB62)))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30277,plain,
% 9.40/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB62, constB63)) | (v180(constB63) <=> v178(constB62)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30278,plain,
% 9.40/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB62, constB63)) | (v180(constB63) <=> v178(constB62))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30277, 30276])).
% 9.40/7.01 tff(30279,plain,
% 9.40/7.01 (v180(constB63) <=> v178(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30278, 6760, 70])).
% 9.40/7.01 tff(30280,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB62) <=> (v181(constB62) | v185(constB62)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30281,plain,
% 9.40/7.01 (v178(constB62) <=> (v181(constB62) | v185(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30280, 84])).
% 9.40/7.01 tff(30282,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB62) <=> (~((~v186(constB62)) | (~v187(constB62)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30283,plain,
% 9.40/7.01 (v185(constB62) <=> (~((~v186(constB62)) | (~v187(constB62))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30282, 96])).
% 9.40/7.01 tff(30284,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB62) <=> (~((~v184(constB62)) | (~v159(constB62)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30285,plain,
% 9.40/7.01 (v187(constB62) <=> (~((~v184(constB62)) | (~v159(constB62))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30284, 108])).
% 9.40/7.01 tff(30286,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30287,plain,
% 9.40/7.01 (v184(constB62) <=> (~((~v39(constB62)) | (~v9(constB62))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30286, 120])).
% 9.40/7.01 tff(30288,plain,
% 9.40/7.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB62)) <=> v1(constB62))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30289,plain,
% 9.40/7.01 ((~v39(constB62)) <=> v1(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30288, 129])).
% 9.40/7.01 tff(30290,plain,
% 9.40/7.01 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62)) | (~v1(constB62))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30291,plain,
% 9.40/7.01 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30290, 6822])).
% 9.40/7.01 tff(30292,plain,
% 9.40/7.01 (~v39(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30291, 30289])).
% 9.40/7.01 tff(30293,plain,
% 9.40/7.01 (((~v39(constB62)) | (~v9(constB62))) | v39(constB62)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30294,plain,
% 9.40/7.01 ((~v39(constB62)) | (~v9(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30293, 30292])).
% 9.40/7.01 tff(30295,plain,
% 9.40/7.01 ((~(v184(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v184(constB62)) | (~((~v39(constB62)) | (~v9(constB62))))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30296,plain,
% 9.40/7.01 ((~(v184(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v184(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30295, 30294])).
% 9.40/7.01 tff(30297,plain,
% 9.40/7.01 (~v184(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30296, 30287])).
% 9.40/7.01 tff(30298,plain,
% 9.40/7.01 (((~v184(constB62)) | (~v159(constB62))) | v184(constB62)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30299,plain,
% 9.40/7.01 ((~v184(constB62)) | (~v159(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30298, 30297])).
% 9.40/7.01 tff(30300,plain,
% 9.40/7.01 ((~(v187(constB62) <=> (~((~v184(constB62)) | (~v159(constB62)))))) | (~v187(constB62)) | (~((~v184(constB62)) | (~v159(constB62))))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30301,plain,
% 9.40/7.01 ((~(v187(constB62) <=> (~((~v184(constB62)) | (~v159(constB62)))))) | (~v187(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30300, 30299])).
% 9.40/7.01 tff(30302,plain,
% 9.40/7.01 (~v187(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30301, 30285])).
% 9.40/7.01 tff(30303,plain,
% 9.40/7.01 (((~v186(constB62)) | (~v187(constB62))) | v187(constB62)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30304,plain,
% 9.40/7.01 ((~v186(constB62)) | (~v187(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30303, 30302])).
% 9.40/7.01 tff(30305,plain,
% 9.40/7.01 ((~(v185(constB62) <=> (~((~v186(constB62)) | (~v187(constB62)))))) | (~v185(constB62)) | (~((~v186(constB62)) | (~v187(constB62))))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30306,plain,
% 9.40/7.01 (~v185(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30305, 30304, 30283])).
% 9.40/7.01 tff(30307,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62))))))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30308,plain,
% 9.40/7.01 ((v181(constB62) <=> (~((~v182(constB62)) | (~v157(constB62))))) <=> (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62)))))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30309,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v182(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62))))))),
% 9.40/7.01 inference(monotonicity,[status(thm)],[30308])).
% 9.40/7.01 tff(30310,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v182(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62))))))),
% 9.40/7.01 inference(transitivity,[status(thm)],[30309, 30307])).
% 9.40/7.01 tff(30311,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v182(constB62)) | (~v157(constB62)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30312,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62)))))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30311, 30310])).
% 9.40/7.01 tff(30313,plain,
% 9.40/7.01 (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30312, 161])).
% 9.40/7.01 tff(30314,plain,
% 9.40/7.01 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB62) <=> v180(constB62))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30315,plain,
% 9.40/7.01 (v157(constB62) <=> v180(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30314, 13])).
% 9.40/7.01 tff(30316,plain,
% 9.40/7.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB61, constB62)) | (v180(constB62) <=> v178(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB61, constB62)) | (v180(constB62) <=> v178(constB61)))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30317,plain,
% 9.40/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB61, constB62)) | (v180(constB62) <=> v178(constB61)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30318,plain,
% 9.40/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB61, constB62)) | (v180(constB62) <=> v178(constB61))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30317, 30316])).
% 9.40/7.01 tff(30319,plain,
% 9.40/7.01 (v180(constB62) <=> v178(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30318, 6792, 70])).
% 9.40/7.01 tff(30320,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB61) <=> (v181(constB61) | v185(constB61)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30321,plain,
% 9.40/7.01 (v178(constB61) <=> (v181(constB61) | v185(constB61))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30320, 84])).
% 9.40/7.01 tff(30322,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61))))))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30323,plain,
% 9.40/7.01 ((v181(constB61) <=> (~((~v182(constB61)) | (~v157(constB61))))) <=> (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61)))))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30324,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v182(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61))))))),
% 9.40/7.01 inference(monotonicity,[status(thm)],[30323])).
% 9.40/7.01 tff(30325,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v182(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61))))))),
% 9.40/7.01 inference(transitivity,[status(thm)],[30324, 30322])).
% 9.40/7.01 tff(30326,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v182(constB61)) | (~v157(constB61)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30327,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61)))))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30326, 30325])).
% 9.40/7.01 tff(30328,plain,
% 9.40/7.01 (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30327, 161])).
% 9.40/7.01 tff(30329,plain,
% 9.40/7.01 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB61)) <=> v183(constB61))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30330,plain,
% 9.40/7.01 ((~v182(constB61)) <=> v183(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30329, 193])).
% 9.40/7.01 tff(30331,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB61) <=> (v184(constB61) | v26(constB61)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30332,plain,
% 9.40/7.01 (v183(constB61) <=> (v184(constB61) | v26(constB61))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30331, 202])).
% 9.40/7.01 tff(30333,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30334,plain,
% 9.40/7.01 (v184(constB61) <=> (~((~v39(constB61)) | (~v9(constB61))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30333, 120])).
% 9.40/7.01 tff(30335,plain,
% 9.40/7.01 (((~![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)))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30336,plain,
% 9.40/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30337,plain,
% 9.40/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30336, 30335])).
% 9.40/7.01 tff(30338,plain,
% 9.40/7.01 (v13(constB62) <=> v9(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30337, 6792, 216])).
% 9.40/7.01 tff(30339,plain,
% 9.40/7.01 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB62) <=> v13(constB62))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30340,plain,
% 9.40/7.01 (v6(constB62) <=> v13(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30339, 230])).
% 9.40/7.01 tff(30341,plain,
% 9.40/7.01 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB62)) <=> v6(constB62))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30342,plain,
% 9.40/7.01 ((~v21(constB62)) <=> v6(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30341, 239])).
% 9.40/7.01 tff(30343,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB62) <=> (v20(constB62) | v21(constB62)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30344,plain,
% 9.40/7.01 (v19(constB62) <=> (v20(constB62) | v21(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30343, 248])).
% 9.40/7.01 tff(30345,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30346,plain,
% 9.40/7.01 (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30345, 260])).
% 9.40/7.01 tff(30347,plain,
% 9.40/7.01 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB62)) <=> v18(constB62))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30348,plain,
% 9.40/7.01 ((~v4(constB62)) <=> v18(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30347, 269])).
% 9.40/7.01 tff(30349,plain,
% 9.40/7.01 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB62)),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30350,plain,
% 9.40/7.01 (v4(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30349, 278])).
% 9.40/7.01 tff(30351,plain,
% 9.40/7.01 ((~((~v4(constB62)) <=> v18(constB62))) | (~v4(constB62)) | (~v18(constB62))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30352,plain,
% 9.40/7.01 (~v18(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30351, 30350, 30348])).
% 9.40/7.01 tff(30353,plain,
% 9.40/7.01 ((~(v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))) | v18(constB62) | ((~v19(constB62)) | (~v22(constB62)))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30354,plain,
% 9.40/7.01 ((~v19(constB62)) | (~v22(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30353, 30352, 30346])).
% 9.40/7.01 tff(30355,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB62) <=> (v1(constB62) | v6(constB62)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30356,plain,
% 9.40/7.01 (v22(constB62) <=> (v1(constB62) | v6(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30355, 291])).
% 9.40/7.01 tff(30357,plain,
% 9.40/7.01 ((v1(constB62) | v6(constB62)) | (~v1(constB62))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30358,plain,
% 9.40/7.01 (v1(constB62) | v6(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30357, 6822])).
% 9.40/7.01 tff(30359,plain,
% 9.40/7.01 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62) | (~(v1(constB62) | v6(constB62)))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30360,plain,
% 9.40/7.01 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30359, 30358])).
% 9.40/7.01 tff(30361,plain,
% 9.40/7.01 (v22(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30360, 30356])).
% 9.40/7.01 tff(30362,plain,
% 9.40/7.01 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62)) | (~v22(constB62))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30363,plain,
% 9.40/7.01 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30362, 30361])).
% 9.40/7.01 tff(30364,plain,
% 9.40/7.01 (~v19(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30363, 30354])).
% 9.40/7.01 tff(30365,plain,
% 9.40/7.01 ((~(v19(constB62) <=> (v20(constB62) | v21(constB62)))) | v19(constB62) | (~(v20(constB62) | v21(constB62)))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30366,plain,
% 9.40/7.01 (~(v20(constB62) | v21(constB62))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30365, 30364, 30344])).
% 9.40/7.01 tff(30367,plain,
% 9.40/7.01 ((v20(constB62) | v21(constB62)) | (~v21(constB62))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30368,plain,
% 9.40/7.01 (~v21(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30367, 30366])).
% 9.40/7.01 tff(30369,plain,
% 9.40/7.01 ((~((~v21(constB62)) <=> v6(constB62))) | v21(constB62) | v6(constB62)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30370,plain,
% 9.40/7.01 (v6(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30369, 30368, 30342])).
% 9.40/7.01 tff(30371,plain,
% 9.40/7.01 ((~(v6(constB62) <=> v13(constB62))) | (~v6(constB62)) | v13(constB62)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30372,plain,
% 9.40/7.01 (v13(constB62)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30371, 30370, 30340])).
% 9.40/7.01 tff(30373,plain,
% 9.40/7.01 ((~(v13(constB62) <=> v9(constB61))) | (~v13(constB62)) | v9(constB61)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30374,plain,
% 9.40/7.01 (v9(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30373, 30372, 30338])).
% 9.40/7.01 tff(30375,plain,
% 9.40/7.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB61)) <=> v1(constB61))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30376,plain,
% 9.40/7.01 ((~v39(constB61)) <=> v1(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30375, 129])).
% 9.40/7.01 tff(30377,plain,
% 9.40/7.01 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61) | v1(constB61)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30378,plain,
% 9.40/7.01 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30377, 6814])).
% 9.40/7.01 tff(30379,plain,
% 9.40/7.01 (v39(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30378, 30376])).
% 9.40/7.01 tff(30380,plain,
% 9.40/7.01 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v39(constB61)) | (~v9(constB61))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30381,plain,
% 9.40/7.01 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v9(constB61))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30380, 30379])).
% 9.40/7.01 tff(30382,plain,
% 9.40/7.01 (~((~v39(constB61)) | (~v9(constB61)))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30381, 30374])).
% 9.40/7.01 tff(30383,plain,
% 9.40/7.01 ((~(v184(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))) | v184(constB61) | ((~v39(constB61)) | (~v9(constB61)))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30384,plain,
% 9.40/7.01 (v184(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30383, 30382, 30334])).
% 9.40/7.01 tff(30385,plain,
% 9.40/7.01 ((v184(constB61) | v26(constB61)) | (~v184(constB61))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30386,plain,
% 9.40/7.01 (v184(constB61) | v26(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30385, 30384])).
% 9.40/7.01 tff(30387,plain,
% 9.40/7.01 ((~(v183(constB61) <=> (v184(constB61) | v26(constB61)))) | v183(constB61) | (~(v184(constB61) | v26(constB61)))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30388,plain,
% 9.40/7.01 (v183(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30387, 30386, 30332])).
% 9.40/7.01 tff(30389,plain,
% 9.40/7.01 ((~((~v182(constB61)) <=> v183(constB61))) | (~v182(constB61)) | (~v183(constB61))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30390,plain,
% 9.40/7.01 (~v182(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30389, 30388, 30330])).
% 9.40/7.01 tff(30391,plain,
% 9.40/7.01 (((~v157(constB61)) | (~v182(constB61))) | v182(constB61)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30392,plain,
% 9.40/7.01 ((~v157(constB61)) | (~v182(constB61))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30391, 30390])).
% 9.40/7.01 tff(30393,plain,
% 9.40/7.01 ((~(v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61)))))) | (~v181(constB61)) | (~((~v157(constB61)) | (~v182(constB61))))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30394,plain,
% 9.40/7.01 (~v181(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30393, 30392, 30328])).
% 9.40/7.01 tff(30395,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB61) <=> (~((~v186(constB61)) | (~v187(constB61)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30396,plain,
% 9.40/7.01 (v185(constB61) <=> (~((~v186(constB61)) | (~v187(constB61))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30395, 96])).
% 9.40/7.01 tff(30397,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB61) <=> (~((~v184(constB61)) | (~v159(constB61)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30398,plain,
% 9.40/7.01 (v187(constB61) <=> (~((~v184(constB61)) | (~v159(constB61))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30397, 108])).
% 9.40/7.01 tff(30399,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB61) <=> v161(constB61))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30400,plain,
% 9.40/7.01 (v159(constB61) <=> v161(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30399, 345])).
% 9.40/7.01 tff(30401,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB61) <=> (~(v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30402,plain,
% 9.40/7.01 (v139(constB61) <=> (~(v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2)))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30401, 360])).
% 9.40/7.01 tff(30403,plain,
% 9.40/7.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB61, bitIndex2) <=> v90(constB61, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB61, bitIndex2) <=> v90(constB61, bitIndex2)))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30404,plain,
% 9.40/7.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB61, bitIndex2) <=> v90(constB61, bitIndex2)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30405,plain,
% 9.40/7.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB61, bitIndex2) <=> v90(constB61, bitIndex2))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30404, 30403])).
% 9.40/7.01 tff(30406,plain,
% 9.40/7.01 (v88(constB61, bitIndex2) <=> v90(constB61, bitIndex2)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30405, 648, 372])).
% 9.40/7.01 tff(30407,plain,
% 9.40/7.01 ((~(v88(constB61, bitIndex2) <=> v90(constB61, bitIndex2))) | v88(constB61, bitIndex2) | (~v90(constB61, bitIndex2))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30408,plain,
% 9.40/7.01 (v88(constB61, bitIndex2)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30407, 14672, 30406])).
% 9.40/7.01 tff(30409,plain,
% 9.40/7.01 ((v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex2))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30410,plain,
% 9.40/7.01 (v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30409, 30408])).
% 9.40/7.01 tff(30411,plain,
% 9.40/7.01 ((~(v139(constB61) <=> (~(v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2))))) | (~v139(constB61)) | (~(v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2)))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30412,plain,
% 9.40/7.01 (~v139(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30411, 30410, 30402])).
% 9.40/7.01 tff(30413,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0))))))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30414,plain,
% 9.40/7.01 ((v140(constB61) <=> (~(v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))))) <=> (v140(constB61) <=> (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0)))))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30415,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0))))))),
% 9.40/7.01 inference(monotonicity,[status(thm)],[30414])).
% 9.40/7.01 tff(30416,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0))))))),
% 9.40/7.01 inference(transitivity,[status(thm)],[30415, 30413])).
% 9.40/7.01 tff(30417,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30418,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0)))))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30417, 30416])).
% 9.40/7.01 tff(30419,plain,
% 9.40/7.01 (v140(constB61) <=> (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0))))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30418, 25795])).
% 9.40/7.01 tff(30420,plain,
% 9.40/7.01 ((v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0))) | (~v88(constB61, bitIndex2))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30421,plain,
% 9.40/7.01 (v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30420, 30408])).
% 9.40/7.01 tff(30422,plain,
% 9.40/7.01 ((~(v140(constB61) <=> (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0)))))) | (~v140(constB61)) | (~(v88(constB61, bitIndex2) | v88(constB61, bitIndex1) | (~v88(constB61, bitIndex0))))),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30423,plain,
% 9.40/7.01 (~v140(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30422, 30421, 30419])).
% 9.40/7.01 tff(30424,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v168(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB61) | v139(constB61) | (~v168(constB61)))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30425,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v168(constB61)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30426,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB61) | v139(constB61) | (~v168(constB61))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30425, 30424])).
% 9.40/7.01 tff(30427,plain,
% 9.40/7.01 (v140(constB61) | v139(constB61) | (~v168(constB61))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30426, 25819])).
% 9.40/7.01 tff(30428,plain,
% 9.40/7.01 (~v168(constB61)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30427, 30423, 30412])).
% 9.40/7.01 tff(30429,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB61) <=> (v145(constB61) | v165(constB61)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30430,plain,
% 9.40/7.01 (v164(constB61) <=> (v145(constB61) | v165(constB61))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30429, 25834])).
% 9.40/7.01 tff(30431,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB61) <=> (v142(constB61) | v166(constB61)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30432,plain,
% 9.40/7.01 (v165(constB61) <=> (v142(constB61) | v166(constB61))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30431, 25846])).
% 9.40/7.01 tff(30433,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB61) <=> (v143(constB61) | v144(constB61)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30434,plain,
% 9.40/7.01 (v142(constB61) <=> (v143(constB61) | v144(constB61))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30433, 25855])).
% 9.40/7.01 tff(30435,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)))))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30436,plain,
% 9.40/7.01 ((v144(constB61) <=> (~(v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2))))) <=> (v144(constB61) <=> (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30437,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~(v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)))))),
% 9.40/7.01 inference(monotonicity,[status(thm)],[30436])).
% 9.40/7.01 tff(30438,plain,
% 9.40/7.01 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~(v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)))))),
% 9.40/7.01 inference(transitivity,[status(thm)],[30437, 30435])).
% 9.40/7.01 tff(30439,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~(v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)))))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30440,plain,
% 9.40/7.01 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30439, 30438])).
% 9.40/7.01 tff(30441,plain,
% 9.40/7.01 (v144(constB61) <=> (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)))),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30440, 26095])).
% 9.40/7.01 tff(30442,plain,
% 9.40/7.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB61, bitIndex0) <=> v90(constB61, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB61, bitIndex0) <=> v90(constB61, bitIndex0)))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30443,plain,
% 9.40/7.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB61, bitIndex0) <=> v90(constB61, bitIndex0)))),
% 9.40/7.01 inference(quant_inst,[status(thm)],[])).
% 9.40/7.01 tff(30444,plain,
% 9.40/7.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB61, bitIndex0) <=> v90(constB61, bitIndex0))),
% 9.40/7.01 inference(modus_ponens,[status(thm)],[30443, 30442])).
% 9.40/7.01 tff(30445,plain,
% 9.40/7.01 (v88(constB61, bitIndex0) <=> v90(constB61, bitIndex0)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30444, 9653, 372])).
% 9.40/7.01 tff(30446,plain,
% 9.40/7.01 ((~(v88(constB61, bitIndex0) <=> v90(constB61, bitIndex0))) | (~v88(constB61, bitIndex0)) | v90(constB61, bitIndex0)),
% 9.40/7.01 inference(tautology,[status(thm)],[])).
% 9.40/7.01 tff(30447,plain,
% 9.40/7.01 (~v88(constB61, bitIndex0)),
% 9.40/7.01 inference(unit_resolution,[status(thm)],[30446, 14703, 30445])).
% 9.40/7.01 tff(30448,plain,
% 9.40/7.01 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB61, bitIndex1) <=> v90(constB61, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB61, bitIndex1) <=> v90(constB61, bitIndex1)))),
% 9.40/7.01 inference(rewrite,[status(thm)],[])).
% 9.40/7.01 tff(30449,plain,
% 9.40/7.01 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB61, bitIndex1) <=> v90(constB61, bitIndex1)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30450,plain,
% 9.40/7.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB61, bitIndex1) <=> v90(constB61, bitIndex1))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30449, 30448])).
% 9.40/7.02 tff(30451,plain,
% 9.40/7.02 (v88(constB61, bitIndex1) <=> v90(constB61, bitIndex1)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30450, 375, 372])).
% 9.40/7.02 tff(30452,plain,
% 9.40/7.02 ((~(v88(constB61, bitIndex1) <=> v90(constB61, bitIndex1))) | v88(constB61, bitIndex1) | (~v90(constB61, bitIndex1))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30453,plain,
% 9.40/7.02 (v88(constB61, bitIndex1)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30452, 14734, 30451])).
% 9.40/7.02 tff(30454,plain,
% 9.40/7.02 ((~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))) | (~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30455,plain,
% 9.40/7.02 (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30454, 30453, 30447, 30408])).
% 9.40/7.02 tff(30456,plain,
% 9.40/7.02 ((~(v144(constB61) <=> (~((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))))) | v144(constB61) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30457,plain,
% 9.40/7.02 (v144(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30456, 30455, 30441])).
% 9.40/7.02 tff(30458,plain,
% 9.40/7.02 ((v143(constB61) | v144(constB61)) | (~v144(constB61))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30459,plain,
% 9.40/7.02 (v143(constB61) | v144(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30458, 30457])).
% 9.40/7.02 tff(30460,plain,
% 9.40/7.02 ((~(v142(constB61) <=> (v143(constB61) | v144(constB61)))) | v142(constB61) | (~(v143(constB61) | v144(constB61)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30461,plain,
% 9.40/7.02 (v142(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30460, 30459, 30434])).
% 9.40/7.02 tff(30462,plain,
% 9.40/7.02 ((v142(constB61) | v166(constB61)) | (~v142(constB61))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30463,plain,
% 9.40/7.02 (v142(constB61) | v166(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30462, 30461])).
% 9.40/7.02 tff(30464,plain,
% 9.40/7.02 ((~(v165(constB61) <=> (v142(constB61) | v166(constB61)))) | v165(constB61) | (~(v142(constB61) | v166(constB61)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30465,plain,
% 9.40/7.02 (v165(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30464, 30463, 30432])).
% 9.40/7.02 tff(30466,plain,
% 9.40/7.02 ((v145(constB61) | v165(constB61)) | (~v165(constB61))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30467,plain,
% 9.40/7.02 (v145(constB61) | v165(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30466, 30465])).
% 9.40/7.02 tff(30468,plain,
% 9.40/7.02 ((~(v164(constB61) <=> (v145(constB61) | v165(constB61)))) | v164(constB61) | (~(v145(constB61) | v165(constB61)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30469,plain,
% 9.40/7.02 (v164(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30468, 30467, 30430])).
% 9.40/7.02 tff(30470,plain,
% 9.40/7.02 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB61)) | (v161(constB61) <=> v168(constB61)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB61)) | (v161(constB61) <=> v168(constB61)))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30471,plain,
% 9.40/7.02 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB61)) | (v161(constB61) <=> v168(constB61)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30472,plain,
% 9.40/7.02 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB61)) | (v161(constB61) <=> v168(constB61))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 9.40/7.02 tff(30473,plain,
% 9.40/7.02 ((~v164(constB61)) | (v161(constB61) <=> v168(constB61))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30472, 25977])).
% 9.40/7.02 tff(30474,plain,
% 9.40/7.02 (v161(constB61) <=> v168(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30473, 30469])).
% 9.40/7.02 tff(30475,plain,
% 9.40/7.02 ((~(v161(constB61) <=> v168(constB61))) | (~v161(constB61)) | v168(constB61)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30476,plain,
% 9.40/7.02 (~v161(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30475, 30474, 30428])).
% 9.40/7.02 tff(30477,plain,
% 9.40/7.02 ((~(v159(constB61) <=> v161(constB61))) | (~v159(constB61)) | v161(constB61)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30478,plain,
% 9.40/7.02 ((~(v159(constB61) <=> v161(constB61))) | (~v159(constB61))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30477, 30476])).
% 9.40/7.02 tff(30479,plain,
% 9.40/7.02 (~v159(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30478, 30400])).
% 9.40/7.02 tff(30480,plain,
% 9.40/7.02 (((~v184(constB61)) | (~v159(constB61))) | v159(constB61)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30481,plain,
% 9.40/7.02 ((~v184(constB61)) | (~v159(constB61))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30480, 30479])).
% 9.40/7.02 tff(30482,plain,
% 9.40/7.02 ((~(v187(constB61) <=> (~((~v184(constB61)) | (~v159(constB61)))))) | (~v187(constB61)) | (~((~v184(constB61)) | (~v159(constB61))))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30483,plain,
% 9.40/7.02 (~v187(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30482, 30481, 30398])).
% 9.40/7.02 tff(30484,plain,
% 9.40/7.02 (((~v186(constB61)) | (~v187(constB61))) | v187(constB61)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30485,plain,
% 9.40/7.02 ((~v186(constB61)) | (~v187(constB61))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30484, 30483])).
% 9.40/7.02 tff(30486,plain,
% 9.40/7.02 ((~(v185(constB61) <=> (~((~v186(constB61)) | (~v187(constB61)))))) | (~v185(constB61)) | (~((~v186(constB61)) | (~v187(constB61))))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30487,plain,
% 9.40/7.02 (~v185(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30486, 30485, 30396])).
% 9.40/7.02 tff(30488,plain,
% 9.40/7.02 ((~(v181(constB61) | v185(constB61))) | v181(constB61) | v185(constB61)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30489,plain,
% 9.40/7.02 (~(v181(constB61) | v185(constB61))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30488, 30487, 30394])).
% 9.40/7.02 tff(30490,plain,
% 9.40/7.02 ((~(v178(constB61) <=> (v181(constB61) | v185(constB61)))) | (~v178(constB61)) | (v181(constB61) | v185(constB61))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30491,plain,
% 9.40/7.02 (~v178(constB61)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30490, 30489, 30321])).
% 9.40/7.02 tff(30492,plain,
% 9.40/7.02 ((~(v180(constB62) <=> v178(constB61))) | (~v180(constB62)) | v178(constB61)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30493,plain,
% 9.40/7.02 (~v180(constB62)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30492, 30491, 30319])).
% 9.40/7.02 tff(30494,plain,
% 9.40/7.02 ((~(v157(constB62) <=> v180(constB62))) | (~v157(constB62)) | v180(constB62)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30495,plain,
% 9.40/7.02 (~v157(constB62)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30494, 30493, 30315])).
% 9.40/7.02 tff(30496,plain,
% 9.40/7.02 (((~v157(constB62)) | (~v182(constB62))) | v157(constB62)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30497,plain,
% 9.40/7.02 ((~v157(constB62)) | (~v182(constB62))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30496, 30495])).
% 9.40/7.02 tff(30498,plain,
% 9.40/7.02 ((~(v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62)))))) | (~v181(constB62)) | (~((~v157(constB62)) | (~v182(constB62))))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30499,plain,
% 9.40/7.02 (~v181(constB62)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30498, 30497, 30313])).
% 9.40/7.02 tff(30500,plain,
% 9.40/7.02 ((~(v181(constB62) | v185(constB62))) | v181(constB62) | v185(constB62)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30501,plain,
% 9.40/7.02 (~(v181(constB62) | v185(constB62))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30500, 30499, 30306])).
% 9.40/7.02 tff(30502,plain,
% 9.40/7.02 ((~(v178(constB62) <=> (v181(constB62) | v185(constB62)))) | (~v178(constB62)) | (v181(constB62) | v185(constB62))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30503,plain,
% 9.40/7.02 (~v178(constB62)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30502, 30501, 30281])).
% 9.40/7.02 tff(30504,plain,
% 9.40/7.02 ((~(v180(constB63) <=> v178(constB62))) | (~v180(constB63)) | v178(constB62)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30505,plain,
% 9.40/7.02 (~v180(constB63)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30504, 30503, 30279])).
% 9.40/7.02 tff(30506,plain,
% 9.40/7.02 ($false),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30505, 30275])).
% 9.40/7.02 tff(30507,plain,(~(constB63 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/7.02 tff(30508,assumption,(constB155 = VarCurr!0), introduced(assumption)).
% 9.40/7.02 tff(30509,plain,
% 9.40/7.02 (v180(constB155) <=> v180(VarCurr!0)),
% 9.40/7.02 inference(monotonicity,[status(thm)],[30508])).
% 9.40/7.02 tff(30510,plain,
% 9.40/7.02 (v180(VarCurr!0) <=> v180(constB155)),
% 9.40/7.02 inference(symmetry,[status(thm)],[30509])).
% 9.40/7.02 tff(30511,plain,
% 9.40/7.02 (v180(constB155)),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[59, 30510])).
% 9.40/7.02 tff(30512,plain,
% 9.40/7.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB154, constB155)) | (v180(constB155) <=> v178(constB154)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB154, constB155)) | (v180(constB155) <=> v178(constB154)))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30513,plain,
% 9.40/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB154, constB155)) | (v180(constB155) <=> v178(constB154)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30514,plain,
% 9.40/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB154, constB155)) | (v180(constB155) <=> v178(constB154))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30513, 30512])).
% 9.40/7.02 tff(30515,plain,
% 9.40/7.02 (v180(constB155) <=> v178(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30514, 2520, 70])).
% 9.40/7.02 tff(30516,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB154) <=> (v181(constB154) | v185(constB154)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30517,plain,
% 9.40/7.02 (v178(constB154) <=> (v181(constB154) | v185(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30516, 84])).
% 9.40/7.02 tff(30518,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB154) <=> (~((~v186(constB154)) | (~v187(constB154)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30519,plain,
% 9.40/7.02 (v185(constB154) <=> (~((~v186(constB154)) | (~v187(constB154))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30518, 96])).
% 9.40/7.02 tff(30520,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB154) <=> (~((~v184(constB154)) | (~v159(constB154)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30521,plain,
% 9.40/7.02 (v187(constB154) <=> (~((~v184(constB154)) | (~v159(constB154))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30520, 108])).
% 9.40/7.02 tff(30522,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30523,plain,
% 9.40/7.02 (v184(constB154) <=> (~((~v39(constB154)) | (~v9(constB154))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30522, 120])).
% 9.40/7.02 tff(30524,plain,
% 9.40/7.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB154)) <=> v1(constB154))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30525,plain,
% 9.40/7.02 ((~v39(constB154)) <=> v1(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30524, 129])).
% 9.40/7.02 tff(30526,plain,
% 9.40/7.02 ((~((~v39(constB154)) <=> v1(constB154))) | (~v39(constB154)) | (~v1(constB154))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30527,plain,
% 9.40/7.02 ((~((~v39(constB154)) <=> v1(constB154))) | (~v39(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30526, 2582])).
% 9.40/7.02 tff(30528,plain,
% 9.40/7.02 (~v39(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30527, 30525])).
% 9.40/7.02 tff(30529,plain,
% 9.40/7.02 (((~v39(constB154)) | (~v9(constB154))) | v39(constB154)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30530,plain,
% 9.40/7.02 ((~v39(constB154)) | (~v9(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30529, 30528])).
% 9.40/7.02 tff(30531,plain,
% 9.40/7.02 ((~(v184(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))) | (~v184(constB154)) | (~((~v39(constB154)) | (~v9(constB154))))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30532,plain,
% 9.40/7.02 ((~(v184(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))) | (~v184(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30531, 30530])).
% 9.40/7.02 tff(30533,plain,
% 9.40/7.02 (~v184(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30532, 30523])).
% 9.40/7.02 tff(30534,plain,
% 9.40/7.02 (((~v184(constB154)) | (~v159(constB154))) | v184(constB154)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30535,plain,
% 9.40/7.02 ((~v184(constB154)) | (~v159(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30534, 30533])).
% 9.40/7.02 tff(30536,plain,
% 9.40/7.02 ((~(v187(constB154) <=> (~((~v184(constB154)) | (~v159(constB154)))))) | (~v187(constB154)) | (~((~v184(constB154)) | (~v159(constB154))))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30537,plain,
% 9.40/7.02 ((~(v187(constB154) <=> (~((~v184(constB154)) | (~v159(constB154)))))) | (~v187(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30536, 30535])).
% 9.40/7.02 tff(30538,plain,
% 9.40/7.02 (~v187(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30537, 30521])).
% 9.40/7.02 tff(30539,plain,
% 9.40/7.02 (((~v186(constB154)) | (~v187(constB154))) | v187(constB154)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30540,plain,
% 9.40/7.02 ((~v186(constB154)) | (~v187(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30539, 30538])).
% 9.40/7.02 tff(30541,plain,
% 9.40/7.02 ((~(v185(constB154) <=> (~((~v186(constB154)) | (~v187(constB154)))))) | (~v185(constB154)) | (~((~v186(constB154)) | (~v187(constB154))))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30542,plain,
% 9.40/7.02 (~v185(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30541, 30540, 30519])).
% 9.40/7.02 tff(30543,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154))))))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30544,plain,
% 9.40/7.02 ((v181(constB154) <=> (~((~v182(constB154)) | (~v157(constB154))))) <=> (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154)))))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30545,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v182(constB154)) | (~v157(constB154)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154))))))),
% 9.40/7.02 inference(monotonicity,[status(thm)],[30544])).
% 9.40/7.02 tff(30546,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v182(constB154)) | (~v157(constB154)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154))))))),
% 9.40/7.02 inference(transitivity,[status(thm)],[30545, 30543])).
% 9.40/7.02 tff(30547,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v182(constB154)) | (~v157(constB154)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30548,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154)))))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30547, 30546])).
% 9.40/7.02 tff(30549,plain,
% 9.40/7.02 (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30548, 161])).
% 9.40/7.02 tff(30550,plain,
% 9.40/7.02 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB154) <=> v180(constB154))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30551,plain,
% 9.40/7.02 (v157(constB154) <=> v180(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30550, 13])).
% 9.40/7.02 tff(30552,plain,
% 9.40/7.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB153, constB154)) | (v180(constB154) <=> v178(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB153, constB154)) | (v180(constB154) <=> v178(constB153)))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30553,plain,
% 9.40/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB153, constB154)) | (v180(constB154) <=> v178(constB153)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30554,plain,
% 9.40/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB153, constB154)) | (v180(constB154) <=> v178(constB153))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30553, 30552])).
% 9.40/7.02 tff(30555,plain,
% 9.40/7.02 (v180(constB154) <=> v178(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30554, 2552, 70])).
% 9.40/7.02 tff(30556,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB153) <=> (v181(constB153) | v185(constB153)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30557,plain,
% 9.40/7.02 (v178(constB153) <=> (v181(constB153) | v185(constB153))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30556, 84])).
% 9.40/7.02 tff(30558,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153))))))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30559,plain,
% 9.40/7.02 ((v181(constB153) <=> (~((~v182(constB153)) | (~v157(constB153))))) <=> (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153)))))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30560,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v182(constB153)) | (~v157(constB153)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153))))))),
% 9.40/7.02 inference(monotonicity,[status(thm)],[30559])).
% 9.40/7.02 tff(30561,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v182(constB153)) | (~v157(constB153)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153))))))),
% 9.40/7.02 inference(transitivity,[status(thm)],[30560, 30558])).
% 9.40/7.02 tff(30562,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v182(constB153)) | (~v157(constB153)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30563,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153)))))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30562, 30561])).
% 9.40/7.02 tff(30564,plain,
% 9.40/7.02 (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30563, 161])).
% 9.40/7.02 tff(30565,plain,
% 9.40/7.02 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB153)) <=> v183(constB153))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30566,plain,
% 9.40/7.02 ((~v182(constB153)) <=> v183(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30565, 193])).
% 9.40/7.02 tff(30567,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB153) <=> (v184(constB153) | v26(constB153)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30568,plain,
% 9.40/7.02 (v183(constB153) <=> (v184(constB153) | v26(constB153))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30567, 202])).
% 9.40/7.02 tff(30569,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB153) <=> (~((~v39(constB153)) | (~v9(constB153)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30570,plain,
% 9.40/7.02 (v184(constB153) <=> (~((~v39(constB153)) | (~v9(constB153))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30569, 120])).
% 9.40/7.02 tff(30571,plain,
% 9.40/7.02 (((~![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)))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30572,plain,
% 9.40/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30573,plain,
% 9.40/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30572, 30571])).
% 9.40/7.02 tff(30574,plain,
% 9.40/7.02 (v13(constB154) <=> v9(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30573, 2552, 216])).
% 9.40/7.02 tff(30575,plain,
% 9.40/7.02 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB154) <=> v13(constB154))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30576,plain,
% 9.40/7.02 (v6(constB154) <=> v13(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30575, 230])).
% 9.40/7.02 tff(30577,plain,
% 9.40/7.02 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB154)) <=> v6(constB154))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30578,plain,
% 9.40/7.02 ((~v21(constB154)) <=> v6(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30577, 239])).
% 9.40/7.02 tff(30579,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB154) <=> (v20(constB154) | v21(constB154)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30580,plain,
% 9.40/7.02 (v19(constB154) <=> (v20(constB154) | v21(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30579, 248])).
% 9.40/7.02 tff(30581,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30582,plain,
% 9.40/7.02 (v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30581, 260])).
% 9.40/7.02 tff(30583,plain,
% 9.40/7.02 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB154)) <=> v18(constB154))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30584,plain,
% 9.40/7.02 ((~v4(constB154)) <=> v18(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30583, 269])).
% 9.40/7.02 tff(30585,plain,
% 9.40/7.02 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB154)),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30586,plain,
% 9.40/7.02 (v4(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30585, 278])).
% 9.40/7.02 tff(30587,plain,
% 9.40/7.02 ((~((~v4(constB154)) <=> v18(constB154))) | (~v4(constB154)) | (~v18(constB154))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30588,plain,
% 9.40/7.02 (~v18(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30587, 30586, 30584])).
% 9.40/7.02 tff(30589,plain,
% 9.40/7.02 ((~(v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154)))))) | v18(constB154) | ((~v19(constB154)) | (~v22(constB154)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30590,plain,
% 9.40/7.02 ((~v19(constB154)) | (~v22(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30589, 30588, 30582])).
% 9.40/7.02 tff(30591,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB154) <=> (v1(constB154) | v6(constB154)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30592,plain,
% 9.40/7.02 (v22(constB154) <=> (v1(constB154) | v6(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30591, 291])).
% 9.40/7.02 tff(30593,plain,
% 9.40/7.02 ((v1(constB154) | v6(constB154)) | (~v1(constB154))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30594,plain,
% 9.40/7.02 (v1(constB154) | v6(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30593, 2582])).
% 9.40/7.02 tff(30595,plain,
% 9.40/7.02 ((~(v22(constB154) <=> (v1(constB154) | v6(constB154)))) | v22(constB154) | (~(v1(constB154) | v6(constB154)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30596,plain,
% 9.40/7.02 ((~(v22(constB154) <=> (v1(constB154) | v6(constB154)))) | v22(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30595, 30594])).
% 9.40/7.02 tff(30597,plain,
% 9.40/7.02 (v22(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30596, 30592])).
% 9.40/7.02 tff(30598,plain,
% 9.40/7.02 ((~((~v19(constB154)) | (~v22(constB154)))) | (~v19(constB154)) | (~v22(constB154))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30599,plain,
% 9.40/7.02 ((~((~v19(constB154)) | (~v22(constB154)))) | (~v19(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30598, 30597])).
% 9.40/7.02 tff(30600,plain,
% 9.40/7.02 (~v19(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30599, 30590])).
% 9.40/7.02 tff(30601,plain,
% 9.40/7.02 ((~(v19(constB154) <=> (v20(constB154) | v21(constB154)))) | v19(constB154) | (~(v20(constB154) | v21(constB154)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30602,plain,
% 9.40/7.02 (~(v20(constB154) | v21(constB154))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30601, 30600, 30580])).
% 9.40/7.02 tff(30603,plain,
% 9.40/7.02 ((v20(constB154) | v21(constB154)) | (~v21(constB154))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30604,plain,
% 9.40/7.02 (~v21(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30603, 30602])).
% 9.40/7.02 tff(30605,plain,
% 9.40/7.02 ((~((~v21(constB154)) <=> v6(constB154))) | v21(constB154) | v6(constB154)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30606,plain,
% 9.40/7.02 (v6(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30605, 30604, 30578])).
% 9.40/7.02 tff(30607,plain,
% 9.40/7.02 ((~(v6(constB154) <=> v13(constB154))) | (~v6(constB154)) | v13(constB154)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30608,plain,
% 9.40/7.02 (v13(constB154)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30607, 30606, 30576])).
% 9.40/7.02 tff(30609,plain,
% 9.40/7.02 ((~(v13(constB154) <=> v9(constB153))) | (~v13(constB154)) | v9(constB153)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30610,plain,
% 9.40/7.02 (v9(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30609, 30608, 30574])).
% 9.40/7.02 tff(30611,plain,
% 9.40/7.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB153)) <=> v1(constB153))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30612,plain,
% 9.40/7.02 ((~v39(constB153)) <=> v1(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30611, 129])).
% 9.40/7.02 tff(30613,plain,
% 9.40/7.02 ((~((~v39(constB153)) <=> v1(constB153))) | v39(constB153) | v1(constB153)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30614,plain,
% 9.40/7.02 ((~((~v39(constB153)) <=> v1(constB153))) | v39(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30613, 2574])).
% 9.40/7.02 tff(30615,plain,
% 9.40/7.02 (v39(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30614, 30612])).
% 9.40/7.02 tff(30616,plain,
% 9.40/7.02 ((~((~v39(constB153)) | (~v9(constB153)))) | (~v39(constB153)) | (~v9(constB153))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30617,plain,
% 9.40/7.02 ((~((~v39(constB153)) | (~v9(constB153)))) | (~v9(constB153))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30616, 30615])).
% 9.40/7.02 tff(30618,plain,
% 9.40/7.02 (~((~v39(constB153)) | (~v9(constB153)))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30617, 30610])).
% 9.40/7.02 tff(30619,plain,
% 9.40/7.02 ((~(v184(constB153) <=> (~((~v39(constB153)) | (~v9(constB153)))))) | v184(constB153) | ((~v39(constB153)) | (~v9(constB153)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30620,plain,
% 9.40/7.02 (v184(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30619, 30618, 30570])).
% 9.40/7.02 tff(30621,plain,
% 9.40/7.02 ((v184(constB153) | v26(constB153)) | (~v184(constB153))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30622,plain,
% 9.40/7.02 (v184(constB153) | v26(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30621, 30620])).
% 9.40/7.02 tff(30623,plain,
% 9.40/7.02 ((~(v183(constB153) <=> (v184(constB153) | v26(constB153)))) | v183(constB153) | (~(v184(constB153) | v26(constB153)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30624,plain,
% 9.40/7.02 (v183(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30623, 30622, 30568])).
% 9.40/7.02 tff(30625,plain,
% 9.40/7.02 ((~((~v182(constB153)) <=> v183(constB153))) | (~v182(constB153)) | (~v183(constB153))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30626,plain,
% 9.40/7.02 (~v182(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30625, 30624, 30566])).
% 9.40/7.02 tff(30627,plain,
% 9.40/7.02 (((~v157(constB153)) | (~v182(constB153))) | v182(constB153)),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30628,plain,
% 9.40/7.02 ((~v157(constB153)) | (~v182(constB153))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30627, 30626])).
% 9.40/7.02 tff(30629,plain,
% 9.40/7.02 ((~(v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153)))))) | (~v181(constB153)) | (~((~v157(constB153)) | (~v182(constB153))))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30630,plain,
% 9.40/7.02 (~v181(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30629, 30628, 30564])).
% 9.40/7.02 tff(30631,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB153) <=> (~((~v186(constB153)) | (~v187(constB153)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30632,plain,
% 9.40/7.02 (v185(constB153) <=> (~((~v186(constB153)) | (~v187(constB153))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30631, 96])).
% 9.40/7.02 tff(30633,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB153) <=> (~((~v184(constB153)) | (~v159(constB153)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30634,plain,
% 9.40/7.02 (v187(constB153) <=> (~((~v184(constB153)) | (~v159(constB153))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30633, 108])).
% 9.40/7.02 tff(30635,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB153) <=> v161(constB153))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30636,plain,
% 9.40/7.02 (v159(constB153) <=> v161(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30635, 345])).
% 9.40/7.02 tff(30637,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30638,plain,
% 9.40/7.02 (v139(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2)))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30637, 360])).
% 9.40/7.02 tff(30639,plain,
% 9.40/7.02 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB153, bitIndex2) <=> v90(constB153, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB153, bitIndex2) <=> v90(constB153, bitIndex2)))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30640,plain,
% 9.40/7.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB153, bitIndex2) <=> v90(constB153, bitIndex2)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30641,plain,
% 9.40/7.02 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB153, bitIndex2) <=> v90(constB153, bitIndex2))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30640, 30639])).
% 9.40/7.02 tff(30642,plain,
% 9.40/7.02 (v88(constB153, bitIndex2) <=> v90(constB153, bitIndex2)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30641, 648, 372])).
% 9.40/7.02 tff(30643,plain,
% 9.40/7.02 ((~(v88(constB153, bitIndex2) <=> v90(constB153, bitIndex2))) | v88(constB153, bitIndex2) | (~v90(constB153, bitIndex2))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30644,plain,
% 9.40/7.02 (v88(constB153, bitIndex2)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30643, 22184, 30642])).
% 9.40/7.02 tff(30645,plain,
% 9.40/7.02 ((v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2)) | (~v88(constB153, bitIndex2))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30646,plain,
% 9.40/7.02 (v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30645, 30644])).
% 9.40/7.02 tff(30647,plain,
% 9.40/7.02 ((~(v139(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2))))) | (~v139(constB153)) | (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2)))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30648,plain,
% 9.40/7.02 (~v139(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30647, 30646, 30638])).
% 9.40/7.02 tff(30649,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0))))))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30650,plain,
% 9.40/7.02 ((v140(constB153) <=> (~(v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0))))) <=> (v140(constB153) <=> (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0)))))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30651,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0))))))),
% 9.40/7.02 inference(monotonicity,[status(thm)],[30650])).
% 9.40/7.02 tff(30652,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0))))))),
% 9.40/7.02 inference(transitivity,[status(thm)],[30651, 30649])).
% 9.40/7.02 tff(30653,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30654,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0)))))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30653, 30652])).
% 9.40/7.02 tff(30655,plain,
% 9.40/7.02 (v140(constB153) <=> (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0))))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30654, 25795])).
% 9.40/7.02 tff(30656,plain,
% 9.40/7.02 ((v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0))) | (~v88(constB153, bitIndex2))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30657,plain,
% 9.40/7.02 (v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30656, 30644])).
% 9.40/7.02 tff(30658,plain,
% 9.40/7.02 ((~(v140(constB153) <=> (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0)))))) | (~v140(constB153)) | (~(v88(constB153, bitIndex2) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex0))))),
% 9.40/7.02 inference(tautology,[status(thm)],[])).
% 9.40/7.02 tff(30659,plain,
% 9.40/7.02 (~v140(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30658, 30657, 30655])).
% 9.40/7.02 tff(30660,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v168(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB153) | v139(constB153) | (~v168(constB153)))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30661,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v168(constB153)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30662,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB153) | v139(constB153) | (~v168(constB153))),
% 9.40/7.02 inference(modus_ponens,[status(thm)],[30661, 30660])).
% 9.40/7.02 tff(30663,plain,
% 9.40/7.02 (v140(constB153) | v139(constB153) | (~v168(constB153))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30662, 25819])).
% 9.40/7.02 tff(30664,plain,
% 9.40/7.02 (~v168(constB153)),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30663, 30659, 30648])).
% 9.40/7.02 tff(30665,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB153) <=> (v145(constB153) | v165(constB153)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30666,plain,
% 9.40/7.02 (v164(constB153) <=> (v145(constB153) | v165(constB153))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30665, 25834])).
% 9.40/7.02 tff(30667,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB153) <=> (v146(constB153) | v147(constB153)))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30668,plain,
% 9.40/7.02 (v145(constB153) <=> (v146(constB153) | v147(constB153))),
% 9.40/7.02 inference(unit_resolution,[status(thm)],[30667, 27691])).
% 9.40/7.02 tff(30669,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0)))))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30670,plain,
% 9.40/7.02 ((v146(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2))))) <=> (v146(constB153) <=> (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))))),
% 9.40/7.02 inference(rewrite,[status(thm)],[])).
% 9.40/7.02 tff(30671,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0)))))),
% 9.40/7.02 inference(monotonicity,[status(thm)],[30670])).
% 9.40/7.02 tff(30672,plain,
% 9.40/7.02 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0)))))),
% 9.40/7.02 inference(transitivity,[status(thm)],[30671, 30669])).
% 9.40/7.02 tff(30673,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))))),
% 9.40/7.02 inference(quant_inst,[status(thm)],[])).
% 9.40/7.02 tff(30674,plain,
% 9.40/7.02 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30673, 30672])).
% 9.40/7.03 tff(30675,plain,
% 9.40/7.03 (v146(constB153) <=> (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0)))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30674, 27706])).
% 9.40/7.03 tff(30676,plain,
% 9.40/7.03 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB153, bitIndex0) <=> v90(constB153, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB153, bitIndex0) <=> v90(constB153, bitIndex0)))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30677,plain,
% 9.40/7.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB153, bitIndex0) <=> v90(constB153, bitIndex0)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30678,plain,
% 9.40/7.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB153, bitIndex0) <=> v90(constB153, bitIndex0))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30677, 30676])).
% 9.40/7.03 tff(30679,plain,
% 9.40/7.03 (v88(constB153, bitIndex0) <=> v90(constB153, bitIndex0)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30678, 9653, 372])).
% 9.40/7.03 tff(30680,plain,
% 9.40/7.03 ((~(v88(constB153, bitIndex0) <=> v90(constB153, bitIndex0))) | (~v88(constB153, bitIndex0)) | v90(constB153, bitIndex0)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30681,plain,
% 9.40/7.03 (~v88(constB153, bitIndex0)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30680, 22215, 30679])).
% 9.40/7.03 tff(30682,plain,
% 9.40/7.03 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB153, bitIndex1) <=> v90(constB153, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB153, bitIndex1) <=> v90(constB153, bitIndex1)))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30683,plain,
% 9.40/7.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB153, bitIndex1) <=> v90(constB153, bitIndex1)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30684,plain,
% 9.40/7.03 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB153, bitIndex1) <=> v90(constB153, bitIndex1))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30683, 30682])).
% 9.40/7.03 tff(30685,plain,
% 9.40/7.03 (v88(constB153, bitIndex1) <=> v90(constB153, bitIndex1)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30684, 375, 372])).
% 9.40/7.03 tff(30686,plain,
% 9.40/7.03 ((~(v88(constB153, bitIndex1) <=> v90(constB153, bitIndex1))) | (~v88(constB153, bitIndex1)) | v90(constB153, bitIndex1)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30687,plain,
% 9.40/7.03 (~v88(constB153, bitIndex1)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30686, 22246, 30685])).
% 9.40/7.03 tff(30688,plain,
% 9.40/7.03 ((~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30689,plain,
% 9.40/7.03 (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30688, 30687, 30681, 30644])).
% 9.40/7.03 tff(30690,plain,
% 9.40/7.03 ((~(v146(constB153) <=> (~((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))))) | v146(constB153) | ((~v88(constB153, bitIndex2)) | v88(constB153, bitIndex1) | v88(constB153, bitIndex0))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30691,plain,
% 9.40/7.03 (v146(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30690, 30689, 30675])).
% 9.40/7.03 tff(30692,plain,
% 9.40/7.03 ((v146(constB153) | v147(constB153)) | (~v146(constB153))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30693,plain,
% 9.40/7.03 (v146(constB153) | v147(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30692, 30691])).
% 9.40/7.03 tff(30694,plain,
% 9.40/7.03 ((~(v145(constB153) <=> (v146(constB153) | v147(constB153)))) | v145(constB153) | (~(v146(constB153) | v147(constB153)))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30695,plain,
% 9.40/7.03 (v145(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30694, 30693, 30668])).
% 9.40/7.03 tff(30696,plain,
% 9.40/7.03 ((v145(constB153) | v165(constB153)) | (~v145(constB153))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30697,plain,
% 9.40/7.03 (v145(constB153) | v165(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30696, 30695])).
% 9.40/7.03 tff(30698,plain,
% 9.40/7.03 ((~(v164(constB153) <=> (v145(constB153) | v165(constB153)))) | v164(constB153) | (~(v145(constB153) | v165(constB153)))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30699,plain,
% 9.40/7.03 (v164(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30698, 30697, 30666])).
% 9.40/7.03 tff(30700,plain,
% 9.40/7.03 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB153)) | (v161(constB153) <=> v168(constB153)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB153)) | (v161(constB153) <=> v168(constB153)))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30701,plain,
% 9.40/7.03 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB153)) | (v161(constB153) <=> v168(constB153)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30702,plain,
% 9.40/7.03 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB153)) | (v161(constB153) <=> v168(constB153))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30701, 30700])).
% 9.40/7.03 tff(30703,plain,
% 9.40/7.03 ((~v164(constB153)) | (v161(constB153) <=> v168(constB153))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30702, 25977])).
% 9.40/7.03 tff(30704,plain,
% 9.40/7.03 (v161(constB153) <=> v168(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30703, 30699])).
% 9.40/7.03 tff(30705,plain,
% 9.40/7.03 ((~(v161(constB153) <=> v168(constB153))) | (~v161(constB153)) | v168(constB153)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30706,plain,
% 9.40/7.03 (~v161(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30705, 30704, 30664])).
% 9.40/7.03 tff(30707,plain,
% 9.40/7.03 ((~(v159(constB153) <=> v161(constB153))) | (~v159(constB153)) | v161(constB153)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30708,plain,
% 9.40/7.03 ((~(v159(constB153) <=> v161(constB153))) | (~v159(constB153))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30707, 30706])).
% 9.40/7.03 tff(30709,plain,
% 9.40/7.03 (~v159(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30708, 30636])).
% 9.40/7.03 tff(30710,plain,
% 9.40/7.03 (((~v184(constB153)) | (~v159(constB153))) | v159(constB153)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30711,plain,
% 9.40/7.03 ((~v184(constB153)) | (~v159(constB153))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30710, 30709])).
% 9.40/7.03 tff(30712,plain,
% 9.40/7.03 ((~(v187(constB153) <=> (~((~v184(constB153)) | (~v159(constB153)))))) | (~v187(constB153)) | (~((~v184(constB153)) | (~v159(constB153))))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30713,plain,
% 9.40/7.03 (~v187(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30712, 30711, 30634])).
% 9.40/7.03 tff(30714,plain,
% 9.40/7.03 (((~v186(constB153)) | (~v187(constB153))) | v187(constB153)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30715,plain,
% 9.40/7.03 ((~v186(constB153)) | (~v187(constB153))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30714, 30713])).
% 9.40/7.03 tff(30716,plain,
% 9.40/7.03 ((~(v185(constB153) <=> (~((~v186(constB153)) | (~v187(constB153)))))) | (~v185(constB153)) | (~((~v186(constB153)) | (~v187(constB153))))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30717,plain,
% 9.40/7.03 (~v185(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30716, 30715, 30632])).
% 9.40/7.03 tff(30718,plain,
% 9.40/7.03 ((~(v181(constB153) | v185(constB153))) | v181(constB153) | v185(constB153)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30719,plain,
% 9.40/7.03 (~(v181(constB153) | v185(constB153))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30718, 30717, 30630])).
% 9.40/7.03 tff(30720,plain,
% 9.40/7.03 ((~(v178(constB153) <=> (v181(constB153) | v185(constB153)))) | (~v178(constB153)) | (v181(constB153) | v185(constB153))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30721,plain,
% 9.40/7.03 (~v178(constB153)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30720, 30719, 30557])).
% 9.40/7.03 tff(30722,plain,
% 9.40/7.03 ((~(v180(constB154) <=> v178(constB153))) | (~v180(constB154)) | v178(constB153)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30723,plain,
% 9.40/7.03 (~v180(constB154)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30722, 30721, 30555])).
% 9.40/7.03 tff(30724,plain,
% 9.40/7.03 ((~(v157(constB154) <=> v180(constB154))) | (~v157(constB154)) | v180(constB154)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30725,plain,
% 9.40/7.03 (~v157(constB154)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30724, 30723, 30551])).
% 9.40/7.03 tff(30726,plain,
% 9.40/7.03 (((~v157(constB154)) | (~v182(constB154))) | v157(constB154)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30727,plain,
% 9.40/7.03 ((~v157(constB154)) | (~v182(constB154))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30726, 30725])).
% 9.40/7.03 tff(30728,plain,
% 9.40/7.03 ((~(v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154)))))) | (~v181(constB154)) | (~((~v157(constB154)) | (~v182(constB154))))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30729,plain,
% 9.40/7.03 (~v181(constB154)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30728, 30727, 30549])).
% 9.40/7.03 tff(30730,plain,
% 9.40/7.03 ((~(v181(constB154) | v185(constB154))) | v181(constB154) | v185(constB154)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30731,plain,
% 9.40/7.03 (~(v181(constB154) | v185(constB154))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30730, 30729, 30542])).
% 9.40/7.03 tff(30732,plain,
% 9.40/7.03 ((~(v178(constB154) <=> (v181(constB154) | v185(constB154)))) | (~v178(constB154)) | (v181(constB154) | v185(constB154))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30733,plain,
% 9.40/7.03 (~v178(constB154)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30732, 30731, 30517])).
% 9.40/7.03 tff(30734,plain,
% 9.40/7.03 ((~(v180(constB155) <=> v178(constB154))) | (~v180(constB155)) | v178(constB154)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30735,plain,
% 9.40/7.03 (~v180(constB155)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30734, 30733, 30515])).
% 9.40/7.03 tff(30736,plain,
% 9.40/7.03 ($false),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30735, 30511])).
% 9.40/7.03 tff(30737,plain,(~(constB155 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/7.03 tff(30738,assumption,(constB51 = VarCurr!0), introduced(assumption)).
% 9.40/7.03 tff(30739,plain,
% 9.40/7.03 (v180(constB51) <=> v180(VarCurr!0)),
% 9.40/7.03 inference(monotonicity,[status(thm)],[30738])).
% 9.40/7.03 tff(30740,plain,
% 9.40/7.03 (v180(VarCurr!0) <=> v180(constB51)),
% 9.40/7.03 inference(symmetry,[status(thm)],[30739])).
% 9.40/7.03 tff(30741,plain,
% 9.40/7.03 (v180(constB51)),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[59, 30740])).
% 9.40/7.03 tff(30742,plain,
% 9.40/7.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> v178(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB50, constB51)) | (v180(constB51) <=> v178(constB50)))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30743,plain,
% 9.40/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> v178(constB50)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30744,plain,
% 9.40/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB50, constB51)) | (v180(constB51) <=> v178(constB50))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30743, 30742])).
% 9.40/7.03 tff(30745,plain,
% 9.40/7.03 (v180(constB51) <=> v178(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30744, 7312, 70])).
% 9.40/7.03 tff(30746,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB50) <=> (v181(constB50) | v185(constB50)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30747,plain,
% 9.40/7.03 (v178(constB50) <=> (v181(constB50) | v185(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30746, 84])).
% 9.40/7.03 tff(30748,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB50) <=> (~((~v186(constB50)) | (~v187(constB50)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30749,plain,
% 9.40/7.03 (v185(constB50) <=> (~((~v186(constB50)) | (~v187(constB50))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30748, 96])).
% 9.40/7.03 tff(30750,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB50) <=> (~((~v184(constB50)) | (~v159(constB50)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30751,plain,
% 9.40/7.03 (v187(constB50) <=> (~((~v184(constB50)) | (~v159(constB50))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30750, 108])).
% 9.40/7.03 tff(30752,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30753,plain,
% 9.40/7.03 (v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30752, 120])).
% 9.40/7.03 tff(30754,plain,
% 9.40/7.03 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB50)) <=> v1(constB50))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30755,plain,
% 9.40/7.03 ((~v39(constB50)) <=> v1(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30754, 129])).
% 9.40/7.03 tff(30756,plain,
% 9.40/7.03 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50)) | (~v1(constB50))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30757,plain,
% 9.40/7.03 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30756, 7374])).
% 9.40/7.03 tff(30758,plain,
% 9.40/7.03 (~v39(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30757, 30755])).
% 9.40/7.03 tff(30759,plain,
% 9.40/7.03 (((~v39(constB50)) | (~v9(constB50))) | v39(constB50)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30760,plain,
% 9.40/7.03 ((~v39(constB50)) | (~v9(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30759, 30758])).
% 9.40/7.03 tff(30761,plain,
% 9.40/7.03 ((~(v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v184(constB50)) | (~((~v39(constB50)) | (~v9(constB50))))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30762,plain,
% 9.40/7.03 ((~(v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v184(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30761, 30760])).
% 9.40/7.03 tff(30763,plain,
% 9.40/7.03 (~v184(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30762, 30753])).
% 9.40/7.03 tff(30764,plain,
% 9.40/7.03 (((~v184(constB50)) | (~v159(constB50))) | v184(constB50)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30765,plain,
% 9.40/7.03 ((~v184(constB50)) | (~v159(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30764, 30763])).
% 9.40/7.03 tff(30766,plain,
% 9.40/7.03 ((~(v187(constB50) <=> (~((~v184(constB50)) | (~v159(constB50)))))) | (~v187(constB50)) | (~((~v184(constB50)) | (~v159(constB50))))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30767,plain,
% 9.40/7.03 ((~(v187(constB50) <=> (~((~v184(constB50)) | (~v159(constB50)))))) | (~v187(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30766, 30765])).
% 9.40/7.03 tff(30768,plain,
% 9.40/7.03 (~v187(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30767, 30751])).
% 9.40/7.03 tff(30769,plain,
% 9.40/7.03 (((~v186(constB50)) | (~v187(constB50))) | v187(constB50)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30770,plain,
% 9.40/7.03 ((~v186(constB50)) | (~v187(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30769, 30768])).
% 9.40/7.03 tff(30771,plain,
% 9.40/7.03 ((~(v185(constB50) <=> (~((~v186(constB50)) | (~v187(constB50)))))) | (~v185(constB50)) | (~((~v186(constB50)) | (~v187(constB50))))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30772,plain,
% 9.40/7.03 (~v185(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30771, 30770, 30749])).
% 9.40/7.03 tff(30773,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50))))))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30774,plain,
% 9.40/7.03 ((v181(constB50) <=> (~((~v182(constB50)) | (~v157(constB50))))) <=> (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50)))))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30775,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v182(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50))))))),
% 9.40/7.03 inference(monotonicity,[status(thm)],[30774])).
% 9.40/7.03 tff(30776,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v182(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50))))))),
% 9.40/7.03 inference(transitivity,[status(thm)],[30775, 30773])).
% 9.40/7.03 tff(30777,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v182(constB50)) | (~v157(constB50)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30778,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50)))))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30777, 30776])).
% 9.40/7.03 tff(30779,plain,
% 9.40/7.03 (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30778, 161])).
% 9.40/7.03 tff(30780,plain,
% 9.40/7.03 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB50) <=> v180(constB50))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30781,plain,
% 9.40/7.03 (v157(constB50) <=> v180(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30780, 13])).
% 9.40/7.03 tff(30782,plain,
% 9.40/7.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> v178(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB49, constB50)) | (v180(constB50) <=> v178(constB49)))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30783,plain,
% 9.40/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> v178(constB49)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30784,plain,
% 9.40/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB49, constB50)) | (v180(constB50) <=> v178(constB49))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30783, 30782])).
% 9.40/7.03 tff(30785,plain,
% 9.40/7.03 (v180(constB50) <=> v178(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30784, 7344, 70])).
% 9.40/7.03 tff(30786,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB49) <=> (v181(constB49) | v185(constB49)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30787,plain,
% 9.40/7.03 (v178(constB49) <=> (v181(constB49) | v185(constB49))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30786, 84])).
% 9.40/7.03 tff(30788,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49))))))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30789,plain,
% 9.40/7.03 ((v181(constB49) <=> (~((~v182(constB49)) | (~v157(constB49))))) <=> (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49)))))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30790,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v182(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49))))))),
% 9.40/7.03 inference(monotonicity,[status(thm)],[30789])).
% 9.40/7.03 tff(30791,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v182(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49))))))),
% 9.40/7.03 inference(transitivity,[status(thm)],[30790, 30788])).
% 9.40/7.03 tff(30792,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v182(constB49)) | (~v157(constB49)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30793,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49)))))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30792, 30791])).
% 9.40/7.03 tff(30794,plain,
% 9.40/7.03 (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30793, 161])).
% 9.40/7.03 tff(30795,plain,
% 9.40/7.03 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB49)) <=> v183(constB49))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30796,plain,
% 9.40/7.03 ((~v182(constB49)) <=> v183(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30795, 193])).
% 9.40/7.03 tff(30797,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB49) <=> (v184(constB49) | v26(constB49)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30798,plain,
% 9.40/7.03 (v183(constB49) <=> (v184(constB49) | v26(constB49))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30797, 202])).
% 9.40/7.03 tff(30799,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30800,plain,
% 9.40/7.03 (v184(constB49) <=> (~((~v39(constB49)) | (~v9(constB49))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30799, 120])).
% 9.40/7.03 tff(30801,plain,
% 9.40/7.03 (((~![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)))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30802,plain,
% 9.40/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30803,plain,
% 9.40/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30802, 30801])).
% 9.40/7.03 tff(30804,plain,
% 9.40/7.03 (v13(constB50) <=> v9(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30803, 7344, 216])).
% 9.40/7.03 tff(30805,plain,
% 9.40/7.03 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB50) <=> v13(constB50))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30806,plain,
% 9.40/7.03 (v6(constB50) <=> v13(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30805, 230])).
% 9.40/7.03 tff(30807,plain,
% 9.40/7.03 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB50)) <=> v6(constB50))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30808,plain,
% 9.40/7.03 ((~v21(constB50)) <=> v6(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30807, 239])).
% 9.40/7.03 tff(30809,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB50) <=> (v20(constB50) | v21(constB50)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30810,plain,
% 9.40/7.03 (v19(constB50) <=> (v20(constB50) | v21(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30809, 248])).
% 9.40/7.03 tff(30811,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30812,plain,
% 9.40/7.03 (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30811, 260])).
% 9.40/7.03 tff(30813,plain,
% 9.40/7.03 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB50)) <=> v18(constB50))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30814,plain,
% 9.40/7.03 ((~v4(constB50)) <=> v18(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30813, 269])).
% 9.40/7.03 tff(30815,plain,
% 9.40/7.03 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB50)),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30816,plain,
% 9.40/7.03 (v4(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30815, 278])).
% 9.40/7.03 tff(30817,plain,
% 9.40/7.03 ((~((~v4(constB50)) <=> v18(constB50))) | (~v4(constB50)) | (~v18(constB50))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30818,plain,
% 9.40/7.03 (~v18(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30817, 30816, 30814])).
% 9.40/7.03 tff(30819,plain,
% 9.40/7.03 ((~(v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))) | v18(constB50) | ((~v19(constB50)) | (~v22(constB50)))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30820,plain,
% 9.40/7.03 ((~v19(constB50)) | (~v22(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30819, 30818, 30812])).
% 9.40/7.03 tff(30821,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB50) <=> (v1(constB50) | v6(constB50)))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30822,plain,
% 9.40/7.03 (v22(constB50) <=> (v1(constB50) | v6(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30821, 291])).
% 9.40/7.03 tff(30823,plain,
% 9.40/7.03 ((v1(constB50) | v6(constB50)) | (~v1(constB50))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30824,plain,
% 9.40/7.03 (v1(constB50) | v6(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30823, 7374])).
% 9.40/7.03 tff(30825,plain,
% 9.40/7.03 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50) | (~(v1(constB50) | v6(constB50)))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30826,plain,
% 9.40/7.03 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30825, 30824])).
% 9.40/7.03 tff(30827,plain,
% 9.40/7.03 (v22(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30826, 30822])).
% 9.40/7.03 tff(30828,plain,
% 9.40/7.03 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50)) | (~v22(constB50))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30829,plain,
% 9.40/7.03 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30828, 30827])).
% 9.40/7.03 tff(30830,plain,
% 9.40/7.03 (~v19(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30829, 30820])).
% 9.40/7.03 tff(30831,plain,
% 9.40/7.03 ((~(v19(constB50) <=> (v20(constB50) | v21(constB50)))) | v19(constB50) | (~(v20(constB50) | v21(constB50)))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30832,plain,
% 9.40/7.03 (~(v20(constB50) | v21(constB50))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30831, 30830, 30810])).
% 9.40/7.03 tff(30833,plain,
% 9.40/7.03 ((v20(constB50) | v21(constB50)) | (~v21(constB50))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30834,plain,
% 9.40/7.03 (~v21(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30833, 30832])).
% 9.40/7.03 tff(30835,plain,
% 9.40/7.03 ((~((~v21(constB50)) <=> v6(constB50))) | v21(constB50) | v6(constB50)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30836,plain,
% 9.40/7.03 (v6(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30835, 30834, 30808])).
% 9.40/7.03 tff(30837,plain,
% 9.40/7.03 ((~(v6(constB50) <=> v13(constB50))) | (~v6(constB50)) | v13(constB50)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30838,plain,
% 9.40/7.03 (v13(constB50)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30837, 30836, 30806])).
% 9.40/7.03 tff(30839,plain,
% 9.40/7.03 ((~(v13(constB50) <=> v9(constB49))) | (~v13(constB50)) | v9(constB49)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30840,plain,
% 9.40/7.03 (v9(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30839, 30838, 30804])).
% 9.40/7.03 tff(30841,plain,
% 9.40/7.03 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB49)) <=> v1(constB49))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30842,plain,
% 9.40/7.03 ((~v39(constB49)) <=> v1(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30841, 129])).
% 9.40/7.03 tff(30843,plain,
% 9.40/7.03 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49) | v1(constB49)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30844,plain,
% 9.40/7.03 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30843, 7366])).
% 9.40/7.03 tff(30845,plain,
% 9.40/7.03 (v39(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30844, 30842])).
% 9.40/7.03 tff(30846,plain,
% 9.40/7.03 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v39(constB49)) | (~v9(constB49))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30847,plain,
% 9.40/7.03 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v9(constB49))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30846, 30845])).
% 9.40/7.03 tff(30848,plain,
% 9.40/7.03 (~((~v39(constB49)) | (~v9(constB49)))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30847, 30840])).
% 9.40/7.03 tff(30849,plain,
% 9.40/7.03 ((~(v184(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))) | v184(constB49) | ((~v39(constB49)) | (~v9(constB49)))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30850,plain,
% 9.40/7.03 (v184(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30849, 30848, 30800])).
% 9.40/7.03 tff(30851,plain,
% 9.40/7.03 ((v184(constB49) | v26(constB49)) | (~v184(constB49))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30852,plain,
% 9.40/7.03 (v184(constB49) | v26(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30851, 30850])).
% 9.40/7.03 tff(30853,plain,
% 9.40/7.03 ((~(v183(constB49) <=> (v184(constB49) | v26(constB49)))) | v183(constB49) | (~(v184(constB49) | v26(constB49)))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30854,plain,
% 9.40/7.03 (v183(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30853, 30852, 30798])).
% 9.40/7.03 tff(30855,plain,
% 9.40/7.03 ((~((~v182(constB49)) <=> v183(constB49))) | (~v182(constB49)) | (~v183(constB49))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30856,plain,
% 9.40/7.03 (~v182(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30855, 30854, 30796])).
% 9.40/7.03 tff(30857,plain,
% 9.40/7.03 (((~v157(constB49)) | (~v182(constB49))) | v182(constB49)),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30858,plain,
% 9.40/7.03 ((~v157(constB49)) | (~v182(constB49))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30857, 30856])).
% 9.40/7.03 tff(30859,plain,
% 9.40/7.03 ((~(v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49)))))) | (~v181(constB49)) | (~((~v157(constB49)) | (~v182(constB49))))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30860,plain,
% 9.40/7.03 (~v181(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30859, 30858, 30794])).
% 9.40/7.03 tff(30861,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB49) <=> (~((~v186(constB49)) | (~v187(constB49)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30862,plain,
% 9.40/7.03 (v185(constB49) <=> (~((~v186(constB49)) | (~v187(constB49))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30861, 96])).
% 9.40/7.03 tff(30863,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB49) <=> (~((~v184(constB49)) | (~v159(constB49)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30864,plain,
% 9.40/7.03 (v187(constB49) <=> (~((~v184(constB49)) | (~v159(constB49))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30863, 108])).
% 9.40/7.03 tff(30865,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB49) <=> v161(constB49))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30866,plain,
% 9.40/7.03 (v159(constB49) <=> v161(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30865, 345])).
% 9.40/7.03 tff(30867,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30868,plain,
% 9.40/7.03 (v139(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2)))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30867, 360])).
% 9.40/7.03 tff(30869,plain,
% 9.40/7.03 ((v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex2))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30870,plain,
% 9.40/7.03 (v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30869, 29062])).
% 9.40/7.03 tff(30871,plain,
% 9.40/7.03 ((~(v139(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2))))) | (~v139(constB49)) | (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2)))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30872,plain,
% 9.40/7.03 (~v139(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30871, 30870, 30868])).
% 9.40/7.03 tff(30873,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0))))))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30874,plain,
% 9.40/7.03 ((v140(constB49) <=> (~(v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0))))) <=> (v140(constB49) <=> (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0)))))),
% 9.40/7.03 inference(rewrite,[status(thm)],[])).
% 9.40/7.03 tff(30875,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0))))))),
% 9.40/7.03 inference(monotonicity,[status(thm)],[30874])).
% 9.40/7.03 tff(30876,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0))))))),
% 9.40/7.03 inference(transitivity,[status(thm)],[30875, 30873])).
% 9.40/7.03 tff(30877,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0)))))),
% 9.40/7.03 inference(quant_inst,[status(thm)],[])).
% 9.40/7.03 tff(30878,plain,
% 9.40/7.03 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0)))))),
% 9.40/7.03 inference(modus_ponens,[status(thm)],[30877, 30876])).
% 9.40/7.03 tff(30879,plain,
% 9.40/7.03 (v140(constB49) <=> (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0))))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30878, 25795])).
% 9.40/7.03 tff(30880,plain,
% 9.40/7.03 ((v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0))) | (~v88(constB49, bitIndex2))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30881,plain,
% 9.40/7.03 (v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0))),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30880, 29062])).
% 9.40/7.03 tff(30882,plain,
% 9.40/7.03 ((~(v140(constB49) <=> (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0)))))) | (~v140(constB49)) | (~(v88(constB49, bitIndex2) | v88(constB49, bitIndex1) | (~v88(constB49, bitIndex0))))),
% 9.40/7.03 inference(tautology,[status(thm)],[])).
% 9.40/7.03 tff(30883,plain,
% 9.40/7.03 (~v140(constB49)),
% 9.40/7.03 inference(unit_resolution,[status(thm)],[30882, 30881, 30879])).
% 9.40/7.03 tff(30884,plain,
% 9.40/7.03 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v168(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB49) | v140(constB49) | (~v168(constB49)))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30885,plain,
% 9.40/7.04 ((v140(constB49) | v139(constB49) | (~v168(constB49))) <=> (v139(constB49) | v140(constB49) | (~v168(constB49)))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30886,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v168(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v168(constB49))))),
% 9.40/7.04 inference(monotonicity,[status(thm)],[30885])).
% 9.40/7.04 tff(30887,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v168(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB49) | v140(constB49) | (~v168(constB49)))),
% 9.40/7.04 inference(transitivity,[status(thm)],[30886, 30884])).
% 9.40/7.04 tff(30888,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v168(constB49)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30889,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB49) | v140(constB49) | (~v168(constB49))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 9.40/7.04 tff(30890,plain,
% 9.40/7.04 (v139(constB49) | v140(constB49) | (~v168(constB49))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30889, 25819])).
% 9.40/7.04 tff(30891,plain,
% 9.40/7.04 (~v168(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30890, 30883, 30872])).
% 9.40/7.04 tff(30892,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB49) <=> (v145(constB49) | v165(constB49)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30893,plain,
% 9.40/7.04 (v164(constB49) <=> (v145(constB49) | v165(constB49))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30892, 25834])).
% 9.40/7.04 tff(30894,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB49) <=> (v142(constB49) | v166(constB49)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30895,plain,
% 9.40/7.04 (v165(constB49) <=> (v142(constB49) | v166(constB49))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30894, 25846])).
% 9.40/7.04 tff(30896,plain,
% 9.40/7.04 ((v142(constB49) | v166(constB49)) | (~v142(constB49))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30897,plain,
% 9.40/7.04 (v142(constB49) | v166(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30896, 29082])).
% 9.40/7.04 tff(30898,plain,
% 9.40/7.04 ((~(v165(constB49) <=> (v142(constB49) | v166(constB49)))) | v165(constB49) | (~(v142(constB49) | v166(constB49)))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30899,plain,
% 9.40/7.04 (v165(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30898, 30897, 30895])).
% 9.40/7.04 tff(30900,plain,
% 9.40/7.04 ((v145(constB49) | v165(constB49)) | (~v165(constB49))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30901,plain,
% 9.40/7.04 (v145(constB49) | v165(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30900, 30899])).
% 9.40/7.04 tff(30902,plain,
% 9.40/7.04 ((~(v164(constB49) <=> (v145(constB49) | v165(constB49)))) | v164(constB49) | (~(v145(constB49) | v165(constB49)))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30903,plain,
% 9.40/7.04 (v164(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30902, 30901, 30893])).
% 9.40/7.04 tff(30904,plain,
% 9.40/7.04 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB49)) | (v161(constB49) <=> v168(constB49)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB49)) | (v161(constB49) <=> v168(constB49)))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30905,plain,
% 9.40/7.04 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB49)) | (v161(constB49) <=> v168(constB49)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30906,plain,
% 9.40/7.04 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB49)) | (v161(constB49) <=> v168(constB49))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[30905, 30904])).
% 9.40/7.04 tff(30907,plain,
% 9.40/7.04 ((~v164(constB49)) | (v161(constB49) <=> v168(constB49))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30906, 25977])).
% 9.40/7.04 tff(30908,plain,
% 9.40/7.04 (v161(constB49) <=> v168(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30907, 30903])).
% 9.40/7.04 tff(30909,plain,
% 9.40/7.04 ((~(v161(constB49) <=> v168(constB49))) | (~v161(constB49)) | v168(constB49)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30910,plain,
% 9.40/7.04 (~v161(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30909, 30908, 30891])).
% 9.40/7.04 tff(30911,plain,
% 9.40/7.04 ((~(v159(constB49) <=> v161(constB49))) | (~v159(constB49)) | v161(constB49)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30912,plain,
% 9.40/7.04 ((~(v159(constB49) <=> v161(constB49))) | (~v159(constB49))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30911, 30910])).
% 9.40/7.04 tff(30913,plain,
% 9.40/7.04 (~v159(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30912, 30866])).
% 9.40/7.04 tff(30914,plain,
% 9.40/7.04 (((~v184(constB49)) | (~v159(constB49))) | v159(constB49)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30915,plain,
% 9.40/7.04 ((~v184(constB49)) | (~v159(constB49))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30914, 30913])).
% 9.40/7.04 tff(30916,plain,
% 9.40/7.04 ((~(v187(constB49) <=> (~((~v184(constB49)) | (~v159(constB49)))))) | (~v187(constB49)) | (~((~v184(constB49)) | (~v159(constB49))))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30917,plain,
% 9.40/7.04 (~v187(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30916, 30915, 30864])).
% 9.40/7.04 tff(30918,plain,
% 9.40/7.04 (((~v186(constB49)) | (~v187(constB49))) | v187(constB49)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30919,plain,
% 9.40/7.04 ((~v186(constB49)) | (~v187(constB49))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30918, 30917])).
% 9.40/7.04 tff(30920,plain,
% 9.40/7.04 ((~(v185(constB49) <=> (~((~v186(constB49)) | (~v187(constB49)))))) | (~v185(constB49)) | (~((~v186(constB49)) | (~v187(constB49))))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30921,plain,
% 9.40/7.04 (~v185(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30920, 30919, 30862])).
% 9.40/7.04 tff(30922,plain,
% 9.40/7.04 ((~(v181(constB49) | v185(constB49))) | v181(constB49) | v185(constB49)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30923,plain,
% 9.40/7.04 (~(v181(constB49) | v185(constB49))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30922, 30921, 30860])).
% 9.40/7.04 tff(30924,plain,
% 9.40/7.04 ((~(v178(constB49) <=> (v181(constB49) | v185(constB49)))) | (~v178(constB49)) | (v181(constB49) | v185(constB49))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30925,plain,
% 9.40/7.04 (~v178(constB49)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30924, 30923, 30787])).
% 9.40/7.04 tff(30926,plain,
% 9.40/7.04 ((~(v180(constB50) <=> v178(constB49))) | (~v180(constB50)) | v178(constB49)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30927,plain,
% 9.40/7.04 (~v180(constB50)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30926, 30925, 30785])).
% 9.40/7.04 tff(30928,plain,
% 9.40/7.04 ((~(v157(constB50) <=> v180(constB50))) | (~v157(constB50)) | v180(constB50)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30929,plain,
% 9.40/7.04 (~v157(constB50)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30928, 30927, 30781])).
% 9.40/7.04 tff(30930,plain,
% 9.40/7.04 (((~v157(constB50)) | (~v182(constB50))) | v157(constB50)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30931,plain,
% 9.40/7.04 ((~v157(constB50)) | (~v182(constB50))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30930, 30929])).
% 9.40/7.04 tff(30932,plain,
% 9.40/7.04 ((~(v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50)))))) | (~v181(constB50)) | (~((~v157(constB50)) | (~v182(constB50))))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30933,plain,
% 9.40/7.04 (~v181(constB50)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30932, 30931, 30779])).
% 9.40/7.04 tff(30934,plain,
% 9.40/7.04 ((~(v181(constB50) | v185(constB50))) | v181(constB50) | v185(constB50)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30935,plain,
% 9.40/7.04 (~(v181(constB50) | v185(constB50))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30934, 30933, 30772])).
% 9.40/7.04 tff(30936,plain,
% 9.40/7.04 ((~(v178(constB50) <=> (v181(constB50) | v185(constB50)))) | (~v178(constB50)) | (v181(constB50) | v185(constB50))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30937,plain,
% 9.40/7.04 (~v178(constB50)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30936, 30935, 30747])).
% 9.40/7.04 tff(30938,plain,
% 9.40/7.04 ((~(v180(constB51) <=> v178(constB50))) | (~v180(constB51)) | v178(constB50)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30939,plain,
% 9.40/7.04 (~v180(constB51)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30938, 30937, 30745])).
% 9.40/7.04 tff(30940,plain,
% 9.40/7.04 ($false),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30939, 30741])).
% 9.40/7.04 tff(30941,plain,(~(constB51 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/7.04 tff(30942,assumption,(constB147 = VarCurr!0), introduced(assumption)).
% 9.40/7.04 tff(30943,plain,
% 9.40/7.04 (v180(constB147) <=> v180(VarCurr!0)),
% 9.40/7.04 inference(monotonicity,[status(thm)],[30942])).
% 9.40/7.04 tff(30944,plain,
% 9.40/7.04 (v180(VarCurr!0) <=> v180(constB147)),
% 9.40/7.04 inference(symmetry,[status(thm)],[30943])).
% 9.40/7.04 tff(30945,plain,
% 9.40/7.04 (v180(constB147)),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[59, 30944])).
% 9.40/7.04 tff(30946,plain,
% 9.40/7.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146)))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30947,plain,
% 9.40/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30948,plain,
% 9.40/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 9.40/7.04 tff(30949,plain,
% 9.40/7.04 (v180(constB147) <=> v178(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30948, 2896, 70])).
% 9.40/7.04 tff(30950,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB146) <=> (v181(constB146) | v185(constB146)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30951,plain,
% 9.40/7.04 (v178(constB146) <=> (v181(constB146) | v185(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30950, 84])).
% 9.40/7.04 tff(30952,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30953,plain,
% 9.40/7.04 (v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30952, 96])).
% 9.40/7.04 tff(30954,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB146) <=> (~((~v184(constB146)) | (~v159(constB146)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30955,plain,
% 9.40/7.04 (v187(constB146) <=> (~((~v184(constB146)) | (~v159(constB146))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30954, 108])).
% 9.40/7.04 tff(30956,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30957,plain,
% 9.40/7.04 (v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30956, 120])).
% 9.40/7.04 tff(30958,plain,
% 9.40/7.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB146)) <=> v1(constB146))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30959,plain,
% 9.40/7.04 ((~v39(constB146)) <=> v1(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30958, 129])).
% 9.40/7.04 tff(30960,plain,
% 9.40/7.04 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146)) | (~v1(constB146))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30961,plain,
% 9.40/7.04 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30960, 2958])).
% 9.40/7.04 tff(30962,plain,
% 9.40/7.04 (~v39(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30961, 30959])).
% 9.40/7.04 tff(30963,plain,
% 9.40/7.04 (((~v39(constB146)) | (~v9(constB146))) | v39(constB146)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30964,plain,
% 9.40/7.04 ((~v39(constB146)) | (~v9(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30963, 30962])).
% 9.40/7.04 tff(30965,plain,
% 9.40/7.04 ((~(v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v184(constB146)) | (~((~v39(constB146)) | (~v9(constB146))))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30966,plain,
% 9.40/7.04 ((~(v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v184(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30965, 30964])).
% 9.40/7.04 tff(30967,plain,
% 9.40/7.04 (~v184(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30966, 30957])).
% 9.40/7.04 tff(30968,plain,
% 9.40/7.04 (((~v184(constB146)) | (~v159(constB146))) | v184(constB146)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30969,plain,
% 9.40/7.04 ((~v184(constB146)) | (~v159(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30968, 30967])).
% 9.40/7.04 tff(30970,plain,
% 9.40/7.04 ((~(v187(constB146) <=> (~((~v184(constB146)) | (~v159(constB146)))))) | (~v187(constB146)) | (~((~v184(constB146)) | (~v159(constB146))))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30971,plain,
% 9.40/7.04 ((~(v187(constB146) <=> (~((~v184(constB146)) | (~v159(constB146)))))) | (~v187(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30970, 30969])).
% 9.40/7.04 tff(30972,plain,
% 9.40/7.04 (~v187(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30971, 30955])).
% 9.40/7.04 tff(30973,plain,
% 9.40/7.04 (((~v186(constB146)) | (~v187(constB146))) | v187(constB146)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30974,plain,
% 9.40/7.04 ((~v186(constB146)) | (~v187(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30973, 30972])).
% 9.40/7.04 tff(30975,plain,
% 9.40/7.04 ((~(v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146)))))) | (~v185(constB146)) | (~((~v186(constB146)) | (~v187(constB146))))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(30976,plain,
% 9.40/7.04 (~v185(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30975, 30974, 30953])).
% 9.40/7.04 tff(30977,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146))))))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30978,plain,
% 9.40/7.04 ((v181(constB146) <=> (~((~v182(constB146)) | (~v157(constB146))))) <=> (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146)))))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30979,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146))))))),
% 9.40/7.04 inference(monotonicity,[status(thm)],[30978])).
% 9.40/7.04 tff(30980,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146))))))),
% 9.40/7.04 inference(transitivity,[status(thm)],[30979, 30977])).
% 9.40/7.04 tff(30981,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v157(constB146)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30982,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146)))))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[30981, 30980])).
% 9.40/7.04 tff(30983,plain,
% 9.40/7.04 (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30982, 161])).
% 9.40/7.04 tff(30984,plain,
% 9.40/7.04 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB146) <=> v180(constB146))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30985,plain,
% 9.40/7.04 (v157(constB146) <=> v180(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30984, 13])).
% 9.40/7.04 tff(30986,plain,
% 9.40/7.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145)))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30987,plain,
% 9.40/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30988,plain,
% 9.40/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 9.40/7.04 tff(30989,plain,
% 9.40/7.04 (v180(constB146) <=> v178(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30988, 2928, 70])).
% 9.40/7.04 tff(30990,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB145) <=> (v181(constB145) | v185(constB145)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30991,plain,
% 9.40/7.04 (v178(constB145) <=> (v181(constB145) | v185(constB145))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30990, 84])).
% 9.40/7.04 tff(30992,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145))))))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30993,plain,
% 9.40/7.04 ((v181(constB145) <=> (~((~v182(constB145)) | (~v157(constB145))))) <=> (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145)))))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(30994,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145))))))),
% 9.40/7.04 inference(monotonicity,[status(thm)],[30993])).
% 9.40/7.04 tff(30995,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145))))))),
% 9.40/7.04 inference(transitivity,[status(thm)],[30994, 30992])).
% 9.40/7.04 tff(30996,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v157(constB145)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(30997,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145)))))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[30996, 30995])).
% 9.40/7.04 tff(30998,plain,
% 9.40/7.04 (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30997, 161])).
% 9.40/7.04 tff(30999,plain,
% 9.40/7.04 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB145)) <=> v183(constB145))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31000,plain,
% 9.40/7.04 ((~v182(constB145)) <=> v183(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[30999, 193])).
% 9.40/7.04 tff(31001,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB145) <=> (v184(constB145) | v26(constB145)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31002,plain,
% 9.40/7.04 (v183(constB145) <=> (v184(constB145) | v26(constB145))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31001, 202])).
% 9.40/7.04 tff(31003,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31004,plain,
% 9.40/7.04 (v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31003, 120])).
% 9.40/7.04 tff(31005,plain,
% 9.40/7.04 (((~![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)))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(31006,plain,
% 9.40/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31007,plain,
% 9.40/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[31006, 31005])).
% 9.40/7.04 tff(31008,plain,
% 9.40/7.04 (v13(constB146) <=> v9(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31007, 2928, 216])).
% 9.40/7.04 tff(31009,plain,
% 9.40/7.04 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB146) <=> v13(constB146))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31010,plain,
% 9.40/7.04 (v6(constB146) <=> v13(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31009, 230])).
% 9.40/7.04 tff(31011,plain,
% 9.40/7.04 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB146)) <=> v6(constB146))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31012,plain,
% 9.40/7.04 ((~v21(constB146)) <=> v6(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31011, 239])).
% 9.40/7.04 tff(31013,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB146) <=> (v20(constB146) | v21(constB146)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31014,plain,
% 9.40/7.04 (v19(constB146) <=> (v20(constB146) | v21(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31013, 248])).
% 9.40/7.04 tff(31015,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31016,plain,
% 9.40/7.04 (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31015, 260])).
% 9.40/7.04 tff(31017,plain,
% 9.40/7.04 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB146)) <=> v18(constB146))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31018,plain,
% 9.40/7.04 ((~v4(constB146)) <=> v18(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31017, 269])).
% 9.40/7.04 tff(31019,plain,
% 9.40/7.04 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB146)),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31020,plain,
% 9.40/7.04 (v4(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31019, 278])).
% 9.40/7.04 tff(31021,plain,
% 9.40/7.04 ((~((~v4(constB146)) <=> v18(constB146))) | (~v4(constB146)) | (~v18(constB146))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31022,plain,
% 9.40/7.04 (~v18(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31021, 31020, 31018])).
% 9.40/7.04 tff(31023,plain,
% 9.40/7.04 ((~(v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))) | v18(constB146) | ((~v19(constB146)) | (~v22(constB146)))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31024,plain,
% 9.40/7.04 ((~v19(constB146)) | (~v22(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31023, 31022, 31016])).
% 9.40/7.04 tff(31025,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB146) <=> (v1(constB146) | v6(constB146)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31026,plain,
% 9.40/7.04 (v22(constB146) <=> (v1(constB146) | v6(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31025, 291])).
% 9.40/7.04 tff(31027,plain,
% 9.40/7.04 ((v1(constB146) | v6(constB146)) | (~v1(constB146))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31028,plain,
% 9.40/7.04 (v1(constB146) | v6(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31027, 2958])).
% 9.40/7.04 tff(31029,plain,
% 9.40/7.04 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146) | (~(v1(constB146) | v6(constB146)))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31030,plain,
% 9.40/7.04 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31029, 31028])).
% 9.40/7.04 tff(31031,plain,
% 9.40/7.04 (v22(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31030, 31026])).
% 9.40/7.04 tff(31032,plain,
% 9.40/7.04 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146)) | (~v22(constB146))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31033,plain,
% 9.40/7.04 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31032, 31031])).
% 9.40/7.04 tff(31034,plain,
% 9.40/7.04 (~v19(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31033, 31024])).
% 9.40/7.04 tff(31035,plain,
% 9.40/7.04 ((~(v19(constB146) <=> (v20(constB146) | v21(constB146)))) | v19(constB146) | (~(v20(constB146) | v21(constB146)))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31036,plain,
% 9.40/7.04 (~(v20(constB146) | v21(constB146))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31035, 31034, 31014])).
% 9.40/7.04 tff(31037,plain,
% 9.40/7.04 ((v20(constB146) | v21(constB146)) | (~v21(constB146))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31038,plain,
% 9.40/7.04 (~v21(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31037, 31036])).
% 9.40/7.04 tff(31039,plain,
% 9.40/7.04 ((~((~v21(constB146)) <=> v6(constB146))) | v21(constB146) | v6(constB146)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31040,plain,
% 9.40/7.04 (v6(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31039, 31038, 31012])).
% 9.40/7.04 tff(31041,plain,
% 9.40/7.04 ((~(v6(constB146) <=> v13(constB146))) | (~v6(constB146)) | v13(constB146)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31042,plain,
% 9.40/7.04 (v13(constB146)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31041, 31040, 31010])).
% 9.40/7.04 tff(31043,plain,
% 9.40/7.04 ((~(v13(constB146) <=> v9(constB145))) | (~v13(constB146)) | v9(constB145)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31044,plain,
% 9.40/7.04 (v9(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31043, 31042, 31008])).
% 9.40/7.04 tff(31045,plain,
% 9.40/7.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB145)) <=> v1(constB145))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31046,plain,
% 9.40/7.04 ((~v39(constB145)) <=> v1(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31045, 129])).
% 9.40/7.04 tff(31047,plain,
% 9.40/7.04 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145) | v1(constB145)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31048,plain,
% 9.40/7.04 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31047, 2950])).
% 9.40/7.04 tff(31049,plain,
% 9.40/7.04 (v39(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31048, 31046])).
% 9.40/7.04 tff(31050,plain,
% 9.40/7.04 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v39(constB145)) | (~v9(constB145))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31051,plain,
% 9.40/7.04 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v9(constB145))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31050, 31049])).
% 9.40/7.04 tff(31052,plain,
% 9.40/7.04 (~((~v39(constB145)) | (~v9(constB145)))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31051, 31044])).
% 9.40/7.04 tff(31053,plain,
% 9.40/7.04 ((~(v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))) | v184(constB145) | ((~v39(constB145)) | (~v9(constB145)))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31054,plain,
% 9.40/7.04 (v184(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31053, 31052, 31004])).
% 9.40/7.04 tff(31055,plain,
% 9.40/7.04 ((v184(constB145) | v26(constB145)) | (~v184(constB145))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31056,plain,
% 9.40/7.04 (v184(constB145) | v26(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31055, 31054])).
% 9.40/7.04 tff(31057,plain,
% 9.40/7.04 ((~(v183(constB145) <=> (v184(constB145) | v26(constB145)))) | v183(constB145) | (~(v184(constB145) | v26(constB145)))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31058,plain,
% 9.40/7.04 (v183(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31057, 31056, 31002])).
% 9.40/7.04 tff(31059,plain,
% 9.40/7.04 ((~((~v182(constB145)) <=> v183(constB145))) | (~v182(constB145)) | (~v183(constB145))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31060,plain,
% 9.40/7.04 (~v182(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31059, 31058, 31000])).
% 9.40/7.04 tff(31061,plain,
% 9.40/7.04 (((~v157(constB145)) | (~v182(constB145))) | v182(constB145)),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31062,plain,
% 9.40/7.04 ((~v157(constB145)) | (~v182(constB145))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31061, 31060])).
% 9.40/7.04 tff(31063,plain,
% 9.40/7.04 ((~(v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145)))))) | (~v181(constB145)) | (~((~v157(constB145)) | (~v182(constB145))))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31064,plain,
% 9.40/7.04 (~v181(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31063, 31062, 30998])).
% 9.40/7.04 tff(31065,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31066,plain,
% 9.40/7.04 (v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31065, 96])).
% 9.40/7.04 tff(31067,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB145) <=> (~((~v184(constB145)) | (~v159(constB145)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31068,plain,
% 9.40/7.04 (v187(constB145) <=> (~((~v184(constB145)) | (~v159(constB145))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31067, 108])).
% 9.40/7.04 tff(31069,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB145) <=> v161(constB145))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31070,plain,
% 9.40/7.04 (v159(constB145) <=> v161(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31069, 345])).
% 9.40/7.04 tff(31071,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31072,plain,
% 9.40/7.04 (v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31071, 360])).
% 9.40/7.04 tff(31073,plain,
% 9.40/7.04 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(31074,plain,
% 9.40/7.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31075,plain,
% 9.40/7.04 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[31074, 31073])).
% 9.40/7.04 tff(31076,plain,
% 9.40/7.04 (v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31075, 648, 372])).
% 9.40/7.04 tff(31077,plain,
% 9.40/7.04 ((~(v88(constB145, bitIndex2) <=> v90(constB145, bitIndex2))) | v88(constB145, bitIndex2) | (~v90(constB145, bitIndex2))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31078,plain,
% 9.40/7.04 (v88(constB145, bitIndex2)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31077, 21504, 31076])).
% 9.40/7.04 tff(31079,plain,
% 9.40/7.04 ((v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex2))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31080,plain,
% 9.40/7.04 (v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31079, 31078])).
% 9.40/7.04 tff(31081,plain,
% 9.40/7.04 ((~(v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2))))) | (~v139(constB145)) | (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31082,plain,
% 9.40/7.04 (~v139(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31081, 31080, 31072])).
% 9.40/7.04 tff(31083,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))))))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(31084,plain,
% 9.40/7.04 ((v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0))))) <=> (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0)))))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(31085,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))))))),
% 9.40/7.04 inference(monotonicity,[status(thm)],[31084])).
% 9.40/7.04 tff(31086,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))))))),
% 9.40/7.04 inference(transitivity,[status(thm)],[31085, 31083])).
% 9.40/7.04 tff(31087,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0)))))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31088,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0)))))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[31087, 31086])).
% 9.40/7.04 tff(31089,plain,
% 9.40/7.04 (v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31088, 25795])).
% 9.40/7.04 tff(31090,plain,
% 9.40/7.04 ((v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))) | (~v88(constB145, bitIndex2))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31091,plain,
% 9.40/7.04 (v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31090, 31078])).
% 9.40/7.04 tff(31092,plain,
% 9.40/7.04 ((~(v140(constB145) <=> (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0)))))) | (~v140(constB145)) | (~(v88(constB145, bitIndex2) | v88(constB145, bitIndex1) | (~v88(constB145, bitIndex0))))),
% 9.40/7.04 inference(tautology,[status(thm)],[])).
% 9.40/7.04 tff(31093,plain,
% 9.40/7.04 (~v140(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31092, 31091, 31089])).
% 9.40/7.04 tff(31094,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v168(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB145) | v139(constB145) | (~v168(constB145)))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(31095,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v168(constB145)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31096,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB145) | v139(constB145) | (~v168(constB145))),
% 9.40/7.04 inference(modus_ponens,[status(thm)],[31095, 31094])).
% 9.40/7.04 tff(31097,plain,
% 9.40/7.04 (v140(constB145) | v139(constB145) | (~v168(constB145))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31096, 25819])).
% 9.40/7.04 tff(31098,plain,
% 9.40/7.04 (~v168(constB145)),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31097, 31093, 31082])).
% 9.40/7.04 tff(31099,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB145) <=> (v145(constB145) | v165(constB145)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31100,plain,
% 9.40/7.04 (v164(constB145) <=> (v145(constB145) | v165(constB145))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31099, 25834])).
% 9.40/7.04 tff(31101,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB145) <=> (v142(constB145) | v166(constB145)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31102,plain,
% 9.40/7.04 (v165(constB145) <=> (v142(constB145) | v166(constB145))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31101, 25846])).
% 9.40/7.04 tff(31103,plain,
% 9.40/7.04 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB145) <=> (v143(constB145) | v144(constB145)))),
% 9.40/7.04 inference(quant_inst,[status(thm)],[])).
% 9.40/7.04 tff(31104,plain,
% 9.40/7.04 (v142(constB145) <=> (v143(constB145) | v144(constB145))),
% 9.40/7.04 inference(unit_resolution,[status(thm)],[31103, 25855])).
% 9.40/7.04 tff(31105,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(31106,plain,
% 9.40/7.04 ((v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2))))) <=> (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))))),
% 9.40/7.04 inference(rewrite,[status(thm)],[])).
% 9.40/7.04 tff(31107,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))))),
% 9.40/7.04 inference(monotonicity,[status(thm)],[31106])).
% 9.40/7.04 tff(31108,plain,
% 9.40/7.04 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))))),
% 9.40/7.05 inference(transitivity,[status(thm)],[31107, 31105])).
% 9.40/7.05 tff(31109,plain,
% 9.40/7.05 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31110,plain,
% 9.40/7.05 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))))),
% 9.40/7.05 inference(modus_ponens,[status(thm)],[31109, 31108])).
% 9.40/7.05 tff(31111,plain,
% 9.40/7.05 (v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31110, 26095])).
% 9.40/7.05 tff(31112,plain,
% 9.40/7.05 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)))),
% 9.40/7.05 inference(rewrite,[status(thm)],[])).
% 9.40/7.05 tff(31113,plain,
% 9.40/7.05 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31114,plain,
% 9.40/7.05 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0))),
% 9.40/7.05 inference(modus_ponens,[status(thm)],[31113, 31112])).
% 9.40/7.05 tff(31115,plain,
% 9.40/7.05 (v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31114, 9653, 372])).
% 9.40/7.05 tff(31116,plain,
% 9.40/7.05 ((~(v88(constB145, bitIndex0) <=> v90(constB145, bitIndex0))) | (~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31117,plain,
% 9.40/7.05 (~v88(constB145, bitIndex0)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31116, 21535, 31115])).
% 9.40/7.05 tff(31118,plain,
% 9.40/7.05 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)))),
% 9.40/7.05 inference(rewrite,[status(thm)],[])).
% 9.40/7.05 tff(31119,plain,
% 9.40/7.05 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31120,plain,
% 9.40/7.05 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1))),
% 9.40/7.05 inference(modus_ponens,[status(thm)],[31119, 31118])).
% 9.40/7.05 tff(31121,plain,
% 9.40/7.05 (v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31120, 375, 372])).
% 9.40/7.05 tff(31122,plain,
% 9.40/7.05 ((~(v88(constB145, bitIndex1) <=> v90(constB145, bitIndex1))) | v88(constB145, bitIndex1) | (~v90(constB145, bitIndex1))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31123,plain,
% 9.40/7.05 (v88(constB145, bitIndex1)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31122, 21566, 31121])).
% 9.40/7.05 tff(31124,plain,
% 9.40/7.05 ((~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31125,plain,
% 9.40/7.05 (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31124, 31123, 31117, 31078])).
% 9.40/7.05 tff(31126,plain,
% 9.40/7.05 ((~(v144(constB145) <=> (~((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))))) | v144(constB145) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31127,plain,
% 9.40/7.05 (v144(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31126, 31125, 31111])).
% 9.40/7.05 tff(31128,plain,
% 9.40/7.05 ((v143(constB145) | v144(constB145)) | (~v144(constB145))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31129,plain,
% 9.40/7.05 (v143(constB145) | v144(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31128, 31127])).
% 9.40/7.05 tff(31130,plain,
% 9.40/7.05 ((~(v142(constB145) <=> (v143(constB145) | v144(constB145)))) | v142(constB145) | (~(v143(constB145) | v144(constB145)))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31131,plain,
% 9.40/7.05 (v142(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31130, 31129, 31104])).
% 9.40/7.05 tff(31132,plain,
% 9.40/7.05 ((v142(constB145) | v166(constB145)) | (~v142(constB145))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31133,plain,
% 9.40/7.05 (v142(constB145) | v166(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31132, 31131])).
% 9.40/7.05 tff(31134,plain,
% 9.40/7.05 ((~(v165(constB145) <=> (v142(constB145) | v166(constB145)))) | v165(constB145) | (~(v142(constB145) | v166(constB145)))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31135,plain,
% 9.40/7.05 (v165(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31134, 31133, 31102])).
% 9.40/7.05 tff(31136,plain,
% 9.40/7.05 ((v145(constB145) | v165(constB145)) | (~v165(constB145))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31137,plain,
% 9.40/7.05 (v145(constB145) | v165(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31136, 31135])).
% 9.40/7.05 tff(31138,plain,
% 9.40/7.05 ((~(v164(constB145) <=> (v145(constB145) | v165(constB145)))) | v164(constB145) | (~(v145(constB145) | v165(constB145)))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31139,plain,
% 9.40/7.05 (v164(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31138, 31137, 31100])).
% 9.40/7.05 tff(31140,plain,
% 9.40/7.05 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB145)) | (v161(constB145) <=> v168(constB145)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB145)) | (v161(constB145) <=> v168(constB145)))),
% 9.40/7.05 inference(rewrite,[status(thm)],[])).
% 9.40/7.05 tff(31141,plain,
% 9.40/7.05 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB145)) | (v161(constB145) <=> v168(constB145)))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31142,plain,
% 9.40/7.05 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB145)) | (v161(constB145) <=> v168(constB145))),
% 9.40/7.05 inference(modus_ponens,[status(thm)],[31141, 31140])).
% 9.40/7.05 tff(31143,plain,
% 9.40/7.05 ((~v164(constB145)) | (v161(constB145) <=> v168(constB145))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31142, 25977])).
% 9.40/7.05 tff(31144,plain,
% 9.40/7.05 (v161(constB145) <=> v168(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31143, 31139])).
% 9.40/7.05 tff(31145,plain,
% 9.40/7.05 ((~(v161(constB145) <=> v168(constB145))) | (~v161(constB145)) | v168(constB145)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31146,plain,
% 9.40/7.05 (~v161(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31145, 31144, 31098])).
% 9.40/7.05 tff(31147,plain,
% 9.40/7.05 ((~(v159(constB145) <=> v161(constB145))) | (~v159(constB145)) | v161(constB145)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31148,plain,
% 9.40/7.05 ((~(v159(constB145) <=> v161(constB145))) | (~v159(constB145))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31147, 31146])).
% 9.40/7.05 tff(31149,plain,
% 9.40/7.05 (~v159(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31148, 31070])).
% 9.40/7.05 tff(31150,plain,
% 9.40/7.05 (((~v184(constB145)) | (~v159(constB145))) | v159(constB145)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31151,plain,
% 9.40/7.05 ((~v184(constB145)) | (~v159(constB145))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31150, 31149])).
% 9.40/7.05 tff(31152,plain,
% 9.40/7.05 ((~(v187(constB145) <=> (~((~v184(constB145)) | (~v159(constB145)))))) | (~v187(constB145)) | (~((~v184(constB145)) | (~v159(constB145))))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31153,plain,
% 9.40/7.05 (~v187(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31152, 31151, 31068])).
% 9.40/7.05 tff(31154,plain,
% 9.40/7.05 (((~v186(constB145)) | (~v187(constB145))) | v187(constB145)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31155,plain,
% 9.40/7.05 ((~v186(constB145)) | (~v187(constB145))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31154, 31153])).
% 9.40/7.05 tff(31156,plain,
% 9.40/7.05 ((~(v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145)))))) | (~v185(constB145)) | (~((~v186(constB145)) | (~v187(constB145))))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31157,plain,
% 9.40/7.05 (~v185(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31156, 31155, 31066])).
% 9.40/7.05 tff(31158,plain,
% 9.40/7.05 ((~(v181(constB145) | v185(constB145))) | v181(constB145) | v185(constB145)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31159,plain,
% 9.40/7.05 (~(v181(constB145) | v185(constB145))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31158, 31157, 31064])).
% 9.40/7.05 tff(31160,plain,
% 9.40/7.05 ((~(v178(constB145) <=> (v181(constB145) | v185(constB145)))) | (~v178(constB145)) | (v181(constB145) | v185(constB145))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31161,plain,
% 9.40/7.05 (~v178(constB145)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31160, 31159, 30991])).
% 9.40/7.05 tff(31162,plain,
% 9.40/7.05 ((~(v180(constB146) <=> v178(constB145))) | (~v180(constB146)) | v178(constB145)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31163,plain,
% 9.40/7.05 (~v180(constB146)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31162, 31161, 30989])).
% 9.40/7.05 tff(31164,plain,
% 9.40/7.05 ((~(v157(constB146) <=> v180(constB146))) | (~v157(constB146)) | v180(constB146)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31165,plain,
% 9.40/7.05 (~v157(constB146)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31164, 31163, 30985])).
% 9.40/7.05 tff(31166,plain,
% 9.40/7.05 (((~v157(constB146)) | (~v182(constB146))) | v157(constB146)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31167,plain,
% 9.40/7.05 ((~v157(constB146)) | (~v182(constB146))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31166, 31165])).
% 9.40/7.05 tff(31168,plain,
% 9.40/7.05 ((~(v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146)))))) | (~v181(constB146)) | (~((~v157(constB146)) | (~v182(constB146))))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31169,plain,
% 9.40/7.05 (~v181(constB146)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31168, 31167, 30983])).
% 9.40/7.05 tff(31170,plain,
% 9.40/7.05 ((~(v181(constB146) | v185(constB146))) | v181(constB146) | v185(constB146)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31171,plain,
% 9.40/7.05 (~(v181(constB146) | v185(constB146))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31170, 31169, 30976])).
% 9.40/7.05 tff(31172,plain,
% 9.40/7.05 ((~(v178(constB146) <=> (v181(constB146) | v185(constB146)))) | (~v178(constB146)) | (v181(constB146) | v185(constB146))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31173,plain,
% 9.40/7.05 (~v178(constB146)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31172, 31171, 30951])).
% 9.40/7.05 tff(31174,plain,
% 9.40/7.05 ((~(v180(constB147) <=> v178(constB146))) | (~v180(constB147)) | v178(constB146)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31175,plain,
% 9.40/7.05 (~v180(constB147)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31174, 31173, 30949])).
% 9.40/7.05 tff(31176,plain,
% 9.40/7.05 ($false),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31175, 30945])).
% 9.40/7.05 tff(31177,plain,(~(constB147 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.40/7.05 tff(31178,assumption,(constB39 = VarCurr!0), introduced(assumption)).
% 9.40/7.05 tff(31179,plain,
% 9.40/7.05 (v180(constB39) <=> v180(VarCurr!0)),
% 9.40/7.05 inference(monotonicity,[status(thm)],[31178])).
% 9.40/7.05 tff(31180,plain,
% 9.40/7.05 (v180(VarCurr!0) <=> v180(constB39)),
% 9.40/7.05 inference(symmetry,[status(thm)],[31179])).
% 9.40/7.05 tff(31181,plain,
% 9.40/7.05 (v180(constB39)),
% 9.40/7.05 inference(modus_ponens,[status(thm)],[59, 31180])).
% 9.40/7.05 tff(31182,plain,
% 9.40/7.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> v178(constB38)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB38, constB39)) | (v180(constB39) <=> v178(constB38)))),
% 9.40/7.05 inference(rewrite,[status(thm)],[])).
% 9.40/7.05 tff(31183,plain,
% 9.40/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> v178(constB38)))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31184,plain,
% 9.40/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB38, constB39)) | (v180(constB39) <=> v178(constB38))),
% 9.40/7.05 inference(modus_ponens,[status(thm)],[31183, 31182])).
% 9.40/7.05 tff(31185,plain,
% 9.40/7.05 (v180(constB39) <=> v178(constB38)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31184, 7864, 70])).
% 9.40/7.05 tff(31186,plain,
% 9.40/7.05 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB38) <=> (v181(constB38) | v185(constB38)))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31187,plain,
% 9.40/7.05 (v178(constB38) <=> (v181(constB38) | v185(constB38))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31186, 84])).
% 9.40/7.05 tff(31188,plain,
% 9.40/7.05 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB38) <=> (~((~v186(constB38)) | (~v187(constB38)))))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31189,plain,
% 9.40/7.05 (v185(constB38) <=> (~((~v186(constB38)) | (~v187(constB38))))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31188, 96])).
% 9.40/7.05 tff(31190,plain,
% 9.40/7.05 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB38) <=> (~((~v184(constB38)) | (~v159(constB38)))))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31191,plain,
% 9.40/7.05 (v187(constB38) <=> (~((~v184(constB38)) | (~v159(constB38))))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31190, 108])).
% 9.40/7.05 tff(31192,plain,
% 9.40/7.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31193,plain,
% 9.40/7.05 (v184(constB38) <=> (~((~v39(constB38)) | (~v9(constB38))))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31192, 120])).
% 9.40/7.05 tff(31194,plain,
% 9.40/7.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB38)) <=> v1(constB38))),
% 9.40/7.05 inference(quant_inst,[status(thm)],[])).
% 9.40/7.05 tff(31195,plain,
% 9.40/7.05 ((~v39(constB38)) <=> v1(constB38)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31194, 129])).
% 9.40/7.05 tff(31196,plain,
% 9.40/7.05 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38)) | (~v1(constB38))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31197,plain,
% 9.40/7.05 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31196, 7926])).
% 9.40/7.05 tff(31198,plain,
% 9.40/7.05 (~v39(constB38)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31197, 31195])).
% 9.40/7.05 tff(31199,plain,
% 9.40/7.05 (((~v39(constB38)) | (~v9(constB38))) | v39(constB38)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31200,plain,
% 9.40/7.05 ((~v39(constB38)) | (~v9(constB38))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31199, 31198])).
% 9.40/7.05 tff(31201,plain,
% 9.40/7.05 ((~(v184(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v184(constB38)) | (~((~v39(constB38)) | (~v9(constB38))))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31202,plain,
% 9.40/7.05 ((~(v184(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v184(constB38))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31201, 31200])).
% 9.40/7.05 tff(31203,plain,
% 9.40/7.05 (~v184(constB38)),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31202, 31193])).
% 9.40/7.05 tff(31204,plain,
% 9.40/7.05 (((~v184(constB38)) | (~v159(constB38))) | v184(constB38)),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31205,plain,
% 9.40/7.05 ((~v184(constB38)) | (~v159(constB38))),
% 9.40/7.05 inference(unit_resolution,[status(thm)],[31204, 31203])).
% 9.40/7.05 tff(31206,plain,
% 9.40/7.05 ((~(v187(constB38) <=> (~((~v184(constB38)) | (~v159(constB38)))))) | (~v187(constB38)) | (~((~v184(constB38)) | (~v159(constB38))))),
% 9.40/7.05 inference(tautology,[status(thm)],[])).
% 9.40/7.05 tff(31207,plain,
% 9.40/7.05 ((~(v187(constB38) <=> (~((~v184(constB38)) | (~v159(constB38)))))) | (~v187(constB38))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31206, 31205])).
% 9.48/7.05 tff(31208,plain,
% 9.48/7.05 (~v187(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31207, 31191])).
% 9.48/7.05 tff(31209,plain,
% 9.48/7.05 (((~v186(constB38)) | (~v187(constB38))) | v187(constB38)),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31210,plain,
% 9.48/7.05 ((~v186(constB38)) | (~v187(constB38))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31209, 31208])).
% 9.48/7.05 tff(31211,plain,
% 9.48/7.05 ((~(v185(constB38) <=> (~((~v186(constB38)) | (~v187(constB38)))))) | (~v185(constB38)) | (~((~v186(constB38)) | (~v187(constB38))))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31212,plain,
% 9.48/7.05 (~v185(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31211, 31210, 31189])).
% 9.48/7.05 tff(31213,plain,
% 9.48/7.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38))))))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31214,plain,
% 9.48/7.05 ((v181(constB38) <=> (~((~v182(constB38)) | (~v157(constB38))))) <=> (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38)))))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31215,plain,
% 9.48/7.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v182(constB38)) | (~v157(constB38)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38))))))),
% 9.48/7.05 inference(monotonicity,[status(thm)],[31214])).
% 9.48/7.05 tff(31216,plain,
% 9.48/7.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v182(constB38)) | (~v157(constB38)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38))))))),
% 9.48/7.05 inference(transitivity,[status(thm)],[31215, 31213])).
% 9.48/7.05 tff(31217,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v182(constB38)) | (~v157(constB38)))))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31218,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38)))))),
% 9.48/7.05 inference(modus_ponens,[status(thm)],[31217, 31216])).
% 9.48/7.05 tff(31219,plain,
% 9.48/7.05 (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38))))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31218, 161])).
% 9.48/7.05 tff(31220,plain,
% 9.48/7.05 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB38) <=> v180(constB38))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31221,plain,
% 9.48/7.05 (v157(constB38) <=> v180(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31220, 13])).
% 9.48/7.05 tff(31222,plain,
% 9.48/7.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> v178(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB37, constB38)) | (v180(constB38) <=> v178(constB37)))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31223,plain,
% 9.48/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> v178(constB37)))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31224,plain,
% 9.48/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB37, constB38)) | (v180(constB38) <=> v178(constB37))),
% 9.48/7.05 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 9.48/7.05 tff(31225,plain,
% 9.48/7.05 (v180(constB38) <=> v178(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31224, 7896, 70])).
% 9.48/7.05 tff(31226,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB37) <=> (v181(constB37) | v185(constB37)))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31227,plain,
% 9.48/7.05 (v178(constB37) <=> (v181(constB37) | v185(constB37))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31226, 84])).
% 9.48/7.05 tff(31228,plain,
% 9.48/7.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37))))))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31229,plain,
% 9.48/7.05 ((v181(constB37) <=> (~((~v182(constB37)) | (~v157(constB37))))) <=> (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37)))))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31230,plain,
% 9.48/7.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v182(constB37)) | (~v157(constB37)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37))))))),
% 9.48/7.05 inference(monotonicity,[status(thm)],[31229])).
% 9.48/7.05 tff(31231,plain,
% 9.48/7.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v182(constB37)) | (~v157(constB37)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37))))))),
% 9.48/7.05 inference(transitivity,[status(thm)],[31230, 31228])).
% 9.48/7.05 tff(31232,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v182(constB37)) | (~v157(constB37)))))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31233,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37)))))),
% 9.48/7.05 inference(modus_ponens,[status(thm)],[31232, 31231])).
% 9.48/7.05 tff(31234,plain,
% 9.48/7.05 (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37))))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31233, 161])).
% 9.48/7.05 tff(31235,plain,
% 9.48/7.05 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB37)) <=> v183(constB37))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31236,plain,
% 9.48/7.05 ((~v182(constB37)) <=> v183(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31235, 193])).
% 9.48/7.05 tff(31237,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB37) <=> (v184(constB37) | v26(constB37)))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31238,plain,
% 9.48/7.05 (v183(constB37) <=> (v184(constB37) | v26(constB37))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31237, 202])).
% 9.48/7.05 tff(31239,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB37) <=> (~((~v39(constB37)) | (~v9(constB37)))))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31240,plain,
% 9.48/7.05 (v184(constB37) <=> (~((~v39(constB37)) | (~v9(constB37))))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31239, 120])).
% 9.48/7.05 tff(31241,plain,
% 9.48/7.05 (((~![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)))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31242,plain,
% 9.48/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31243,plain,
% 9.48/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37))),
% 9.48/7.05 inference(modus_ponens,[status(thm)],[31242, 31241])).
% 9.48/7.05 tff(31244,plain,
% 9.48/7.05 (v13(constB38) <=> v9(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31243, 7896, 216])).
% 9.48/7.05 tff(31245,plain,
% 9.48/7.05 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB38) <=> v13(constB38))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31246,plain,
% 9.48/7.05 (v6(constB38) <=> v13(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31245, 230])).
% 9.48/7.05 tff(31247,plain,
% 9.48/7.05 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB38)) <=> v6(constB38))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31248,plain,
% 9.48/7.05 ((~v21(constB38)) <=> v6(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31247, 239])).
% 9.48/7.05 tff(31249,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB38) <=> (v20(constB38) | v21(constB38)))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31250,plain,
% 9.48/7.05 (v19(constB38) <=> (v20(constB38) | v21(constB38))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31249, 248])).
% 9.48/7.05 tff(31251,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38)))))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31252,plain,
% 9.48/7.05 (v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38))))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31251, 260])).
% 9.48/7.05 tff(31253,plain,
% 9.48/7.05 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB38)) <=> v18(constB38))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31254,plain,
% 9.48/7.05 ((~v4(constB38)) <=> v18(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31253, 269])).
% 9.48/7.05 tff(31255,plain,
% 9.48/7.05 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB38)),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31256,plain,
% 9.48/7.05 (v4(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31255, 278])).
% 9.48/7.05 tff(31257,plain,
% 9.48/7.05 ((~((~v4(constB38)) <=> v18(constB38))) | (~v4(constB38)) | (~v18(constB38))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31258,plain,
% 9.48/7.05 (~v18(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31257, 31256, 31254])).
% 9.48/7.05 tff(31259,plain,
% 9.48/7.05 ((~(v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38)))))) | v18(constB38) | ((~v19(constB38)) | (~v22(constB38)))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31260,plain,
% 9.48/7.05 ((~v19(constB38)) | (~v22(constB38))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31259, 31258, 31252])).
% 9.48/7.05 tff(31261,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB38) <=> (v1(constB38) | v6(constB38)))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31262,plain,
% 9.48/7.05 (v22(constB38) <=> (v1(constB38) | v6(constB38))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31261, 291])).
% 9.48/7.05 tff(31263,plain,
% 9.48/7.05 ((v1(constB38) | v6(constB38)) | (~v1(constB38))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31264,plain,
% 9.48/7.05 (v1(constB38) | v6(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31263, 7926])).
% 9.48/7.05 tff(31265,plain,
% 9.48/7.05 ((~(v22(constB38) <=> (v1(constB38) | v6(constB38)))) | v22(constB38) | (~(v1(constB38) | v6(constB38)))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31266,plain,
% 9.48/7.05 ((~(v22(constB38) <=> (v1(constB38) | v6(constB38)))) | v22(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31265, 31264])).
% 9.48/7.05 tff(31267,plain,
% 9.48/7.05 (v22(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31266, 31262])).
% 9.48/7.05 tff(31268,plain,
% 9.48/7.05 ((~((~v19(constB38)) | (~v22(constB38)))) | (~v19(constB38)) | (~v22(constB38))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31269,plain,
% 9.48/7.05 ((~((~v19(constB38)) | (~v22(constB38)))) | (~v19(constB38))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31268, 31267])).
% 9.48/7.05 tff(31270,plain,
% 9.48/7.05 (~v19(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31269, 31260])).
% 9.48/7.05 tff(31271,plain,
% 9.48/7.05 ((~(v19(constB38) <=> (v20(constB38) | v21(constB38)))) | v19(constB38) | (~(v20(constB38) | v21(constB38)))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31272,plain,
% 9.48/7.05 (~(v20(constB38) | v21(constB38))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31271, 31270, 31250])).
% 9.48/7.05 tff(31273,plain,
% 9.48/7.05 ((v20(constB38) | v21(constB38)) | (~v21(constB38))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31274,plain,
% 9.48/7.05 (~v21(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31273, 31272])).
% 9.48/7.05 tff(31275,plain,
% 9.48/7.05 ((~((~v21(constB38)) <=> v6(constB38))) | v21(constB38) | v6(constB38)),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31276,plain,
% 9.48/7.05 (v6(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31275, 31274, 31248])).
% 9.48/7.05 tff(31277,plain,
% 9.48/7.05 ((~(v6(constB38) <=> v13(constB38))) | (~v6(constB38)) | v13(constB38)),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31278,plain,
% 9.48/7.05 (v13(constB38)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31277, 31276, 31246])).
% 9.48/7.05 tff(31279,plain,
% 9.48/7.05 ((~(v13(constB38) <=> v9(constB37))) | (~v13(constB38)) | v9(constB37)),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31280,plain,
% 9.48/7.05 (v9(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31279, 31278, 31244])).
% 9.48/7.05 tff(31281,plain,
% 9.48/7.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB37)) <=> v1(constB37))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31282,plain,
% 9.48/7.05 ((~v39(constB37)) <=> v1(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31281, 129])).
% 9.48/7.05 tff(31283,plain,
% 9.48/7.05 ((~((~v39(constB37)) <=> v1(constB37))) | v39(constB37) | v1(constB37)),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31284,plain,
% 9.48/7.05 ((~((~v39(constB37)) <=> v1(constB37))) | v39(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31283, 7918])).
% 9.48/7.05 tff(31285,plain,
% 9.48/7.05 (v39(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31284, 31282])).
% 9.48/7.05 tff(31286,plain,
% 9.48/7.05 ((~((~v39(constB37)) | (~v9(constB37)))) | (~v39(constB37)) | (~v9(constB37))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31287,plain,
% 9.48/7.05 ((~((~v39(constB37)) | (~v9(constB37)))) | (~v9(constB37))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31286, 31285])).
% 9.48/7.05 tff(31288,plain,
% 9.48/7.05 (~((~v39(constB37)) | (~v9(constB37)))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31287, 31280])).
% 9.48/7.05 tff(31289,plain,
% 9.48/7.05 ((~(v184(constB37) <=> (~((~v39(constB37)) | (~v9(constB37)))))) | v184(constB37) | ((~v39(constB37)) | (~v9(constB37)))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31290,plain,
% 9.48/7.05 (v184(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31289, 31288, 31240])).
% 9.48/7.05 tff(31291,plain,
% 9.48/7.05 ((v184(constB37) | v26(constB37)) | (~v184(constB37))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31292,plain,
% 9.48/7.05 (v184(constB37) | v26(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31291, 31290])).
% 9.48/7.05 tff(31293,plain,
% 9.48/7.05 ((~(v183(constB37) <=> (v184(constB37) | v26(constB37)))) | v183(constB37) | (~(v184(constB37) | v26(constB37)))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31294,plain,
% 9.48/7.05 (v183(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31293, 31292, 31238])).
% 9.48/7.05 tff(31295,plain,
% 9.48/7.05 ((~((~v182(constB37)) <=> v183(constB37))) | (~v182(constB37)) | (~v183(constB37))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31296,plain,
% 9.48/7.05 (~v182(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31295, 31294, 31236])).
% 9.48/7.05 tff(31297,plain,
% 9.48/7.05 (((~v157(constB37)) | (~v182(constB37))) | v182(constB37)),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31298,plain,
% 9.48/7.05 ((~v157(constB37)) | (~v182(constB37))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31297, 31296])).
% 9.48/7.05 tff(31299,plain,
% 9.48/7.05 ((~(v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37)))))) | (~v181(constB37)) | (~((~v157(constB37)) | (~v182(constB37))))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31300,plain,
% 9.48/7.05 (~v181(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31299, 31298, 31234])).
% 9.48/7.05 tff(31301,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB37) <=> (~((~v186(constB37)) | (~v187(constB37)))))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31302,plain,
% 9.48/7.05 (v185(constB37) <=> (~((~v186(constB37)) | (~v187(constB37))))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31301, 96])).
% 9.48/7.05 tff(31303,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB37) <=> (~((~v184(constB37)) | (~v159(constB37)))))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31304,plain,
% 9.48/7.05 (v187(constB37) <=> (~((~v184(constB37)) | (~v159(constB37))))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31303, 108])).
% 9.48/7.05 tff(31305,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB37) <=> v161(constB37))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31306,plain,
% 9.48/7.05 (v159(constB37) <=> v161(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31305, 345])).
% 9.48/7.05 tff(31307,plain,
% 9.48/7.05 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB37) <=> (~(v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2))))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31308,plain,
% 9.48/7.05 (v139(constB37) <=> (~(v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2)))),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31307, 360])).
% 9.48/7.05 tff(31309,plain,
% 9.48/7.05 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2)))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31310,plain,
% 9.48/7.05 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2)))),
% 9.48/7.05 inference(quant_inst,[status(thm)],[])).
% 9.48/7.05 tff(31311,plain,
% 9.48/7.05 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2))),
% 9.48/7.05 inference(modus_ponens,[status(thm)],[31310, 31309])).
% 9.48/7.05 tff(31312,plain,
% 9.48/7.05 (v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31311, 648, 372])).
% 9.48/7.05 tff(31313,plain,
% 9.48/7.05 ((~(v88(constB37, bitIndex2) <=> v90(constB37, bitIndex2))) | v88(constB37, bitIndex2) | (~v90(constB37, bitIndex2))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31314,plain,
% 9.48/7.05 (v88(constB37, bitIndex2)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31313, 12720, 31312])).
% 9.48/7.05 tff(31315,plain,
% 9.48/7.05 ((v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex2))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31316,plain,
% 9.48/7.05 (v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31315, 31314])).
% 9.48/7.05 tff(31317,plain,
% 9.48/7.05 ((~(v139(constB37) <=> (~(v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2))))) | (~v139(constB37)) | (~(v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2)))),
% 9.48/7.05 inference(tautology,[status(thm)],[])).
% 9.48/7.05 tff(31318,plain,
% 9.48/7.05 (~v139(constB37)),
% 9.48/7.05 inference(unit_resolution,[status(thm)],[31317, 31316, 31308])).
% 9.48/7.05 tff(31319,plain,
% 9.48/7.05 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31320,plain,
% 9.48/7.05 ((v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0))))) <=> (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))))),
% 9.48/7.05 inference(rewrite,[status(thm)],[])).
% 9.48/7.05 tff(31321,plain,
% 9.48/7.05 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))))),
% 9.48/7.06 inference(monotonicity,[status(thm)],[31320])).
% 9.48/7.06 tff(31322,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))))),
% 9.48/7.06 inference(transitivity,[status(thm)],[31321, 31319])).
% 9.48/7.06 tff(31323,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31324,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31323, 31322])).
% 9.48/7.06 tff(31325,plain,
% 9.48/7.06 (v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31324, 25795])).
% 9.48/7.06 tff(31326,plain,
% 9.48/7.06 ((v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))) | (~v88(constB37, bitIndex2))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31327,plain,
% 9.48/7.06 (v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31326, 31314])).
% 9.48/7.06 tff(31328,plain,
% 9.48/7.06 ((~(v140(constB37) <=> (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)))))) | (~v140(constB37)) | (~(v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0))))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31329,plain,
% 9.48/7.06 (~v140(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31328, 31327, 31325])).
% 9.48/7.06 tff(31330,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB37) | v140(constB37) | (~v168(constB37)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB37) | v140(constB37) | (~v168(constB37)))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31331,plain,
% 9.48/7.06 ((v140(constB37) | v139(constB37) | (~v168(constB37))) <=> (v139(constB37) | v140(constB37) | (~v168(constB37)))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31332,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB37) | v139(constB37) | (~v168(constB37)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB37) | v140(constB37) | (~v168(constB37))))),
% 9.48/7.06 inference(monotonicity,[status(thm)],[31331])).
% 9.48/7.06 tff(31333,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB37) | v139(constB37) | (~v168(constB37)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB37) | v140(constB37) | (~v168(constB37)))),
% 9.48/7.06 inference(transitivity,[status(thm)],[31332, 31330])).
% 9.48/7.06 tff(31334,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB37) | v139(constB37) | (~v168(constB37)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31335,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB37) | v140(constB37) | (~v168(constB37))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31334, 31333])).
% 9.48/7.06 tff(31336,plain,
% 9.48/7.06 (v139(constB37) | v140(constB37) | (~v168(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31335, 25819])).
% 9.48/7.06 tff(31337,plain,
% 9.48/7.06 (~v168(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31336, 31329, 31318])).
% 9.48/7.06 tff(31338,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB37) <=> (v145(constB37) | v165(constB37)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31339,plain,
% 9.48/7.06 (v164(constB37) <=> (v145(constB37) | v165(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31338, 25834])).
% 9.48/7.06 tff(31340,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB37) <=> (v142(constB37) | v166(constB37)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31341,plain,
% 9.48/7.06 (v165(constB37) <=> (v142(constB37) | v166(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31340, 25846])).
% 9.48/7.06 tff(31342,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB37) <=> (v143(constB37) | v144(constB37)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31343,plain,
% 9.48/7.06 (v142(constB37) <=> (v143(constB37) | v144(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31342, 25855])).
% 9.48/7.06 tff(31344,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0)))))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31345,plain,
% 9.48/7.06 ((v144(constB37) <=> (~(v88(constB37, bitIndex0) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2))))) <=> (v144(constB37) <=> (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0))))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31346,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~(v88(constB37, bitIndex0) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0)))))),
% 9.48/7.06 inference(monotonicity,[status(thm)],[31345])).
% 9.48/7.06 tff(31347,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~(v88(constB37, bitIndex0) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0)))))),
% 9.48/7.06 inference(transitivity,[status(thm)],[31346, 31344])).
% 9.48/7.06 tff(31348,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~(v88(constB37, bitIndex0) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31349,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0))))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31348, 31347])).
% 9.48/7.06 tff(31350,plain,
% 9.48/7.06 (v144(constB37) <=> (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0)))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31349, 26095])).
% 9.48/7.06 tff(31351,plain,
% 9.48/7.06 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0)))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31352,plain,
% 9.48/7.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31353,plain,
% 9.48/7.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31352, 31351])).
% 9.48/7.06 tff(31354,plain,
% 9.48/7.06 (v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31353, 9653, 372])).
% 9.48/7.06 tff(31355,plain,
% 9.48/7.06 ((~(v88(constB37, bitIndex0) <=> v90(constB37, bitIndex0))) | (~v88(constB37, bitIndex0)) | v90(constB37, bitIndex0)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31356,plain,
% 9.48/7.06 (~v88(constB37, bitIndex0)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31355, 12751, 31354])).
% 9.48/7.06 tff(31357,plain,
% 9.48/7.06 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1)))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31358,plain,
% 9.48/7.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31359,plain,
% 9.48/7.06 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31358, 31357])).
% 9.48/7.06 tff(31360,plain,
% 9.48/7.06 (v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31359, 375, 372])).
% 9.48/7.06 tff(31361,plain,
% 9.48/7.06 ((~(v88(constB37, bitIndex1) <=> v90(constB37, bitIndex1))) | v88(constB37, bitIndex1) | (~v90(constB37, bitIndex1))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31362,plain,
% 9.48/7.06 (v88(constB37, bitIndex1)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31361, 12782, 31360])).
% 9.48/7.06 tff(31363,plain,
% 9.48/7.06 ((~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0))) | (~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31364,plain,
% 9.48/7.06 (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31363, 31362, 31356, 31314])).
% 9.48/7.06 tff(31365,plain,
% 9.48/7.06 ((~(v144(constB37) <=> (~((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0))))) | v144(constB37) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31366,plain,
% 9.48/7.06 (v144(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31365, 31364, 31350])).
% 9.48/7.06 tff(31367,plain,
% 9.48/7.06 ((v143(constB37) | v144(constB37)) | (~v144(constB37))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31368,plain,
% 9.48/7.06 (v143(constB37) | v144(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31367, 31366])).
% 9.48/7.06 tff(31369,plain,
% 9.48/7.06 ((~(v142(constB37) <=> (v143(constB37) | v144(constB37)))) | v142(constB37) | (~(v143(constB37) | v144(constB37)))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31370,plain,
% 9.48/7.06 (v142(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31369, 31368, 31343])).
% 9.48/7.06 tff(31371,plain,
% 9.48/7.06 ((v142(constB37) | v166(constB37)) | (~v142(constB37))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31372,plain,
% 9.48/7.06 (v142(constB37) | v166(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31371, 31370])).
% 9.48/7.06 tff(31373,plain,
% 9.48/7.06 ((~(v165(constB37) <=> (v142(constB37) | v166(constB37)))) | v165(constB37) | (~(v142(constB37) | v166(constB37)))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31374,plain,
% 9.48/7.06 (v165(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31373, 31372, 31341])).
% 9.48/7.06 tff(31375,plain,
% 9.48/7.06 ((v145(constB37) | v165(constB37)) | (~v165(constB37))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31376,plain,
% 9.48/7.06 (v145(constB37) | v165(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31375, 31374])).
% 9.48/7.06 tff(31377,plain,
% 9.48/7.06 ((~(v164(constB37) <=> (v145(constB37) | v165(constB37)))) | v164(constB37) | (~(v145(constB37) | v165(constB37)))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31378,plain,
% 9.48/7.06 (v164(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31377, 31376, 31339])).
% 9.48/7.06 tff(31379,plain,
% 9.48/7.06 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB37)) | (v161(constB37) <=> v168(constB37)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB37)) | (v161(constB37) <=> v168(constB37)))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31380,plain,
% 9.48/7.06 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB37)) | (v161(constB37) <=> v168(constB37)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31381,plain,
% 9.48/7.06 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB37)) | (v161(constB37) <=> v168(constB37))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31380, 31379])).
% 9.48/7.06 tff(31382,plain,
% 9.48/7.06 ((~v164(constB37)) | (v161(constB37) <=> v168(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31381, 25977])).
% 9.48/7.06 tff(31383,plain,
% 9.48/7.06 (v161(constB37) <=> v168(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31382, 31378])).
% 9.48/7.06 tff(31384,plain,
% 9.48/7.06 ((~(v161(constB37) <=> v168(constB37))) | (~v161(constB37)) | v168(constB37)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31385,plain,
% 9.48/7.06 (~v161(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31384, 31383, 31337])).
% 9.48/7.06 tff(31386,plain,
% 9.48/7.06 ((~(v159(constB37) <=> v161(constB37))) | (~v159(constB37)) | v161(constB37)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31387,plain,
% 9.48/7.06 ((~(v159(constB37) <=> v161(constB37))) | (~v159(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31386, 31385])).
% 9.48/7.06 tff(31388,plain,
% 9.48/7.06 (~v159(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31387, 31306])).
% 9.48/7.06 tff(31389,plain,
% 9.48/7.06 (((~v184(constB37)) | (~v159(constB37))) | v159(constB37)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31390,plain,
% 9.48/7.06 ((~v184(constB37)) | (~v159(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31389, 31388])).
% 9.48/7.06 tff(31391,plain,
% 9.48/7.06 ((~(v187(constB37) <=> (~((~v184(constB37)) | (~v159(constB37)))))) | (~v187(constB37)) | (~((~v184(constB37)) | (~v159(constB37))))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31392,plain,
% 9.48/7.06 (~v187(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31391, 31390, 31304])).
% 9.48/7.06 tff(31393,plain,
% 9.48/7.06 (((~v186(constB37)) | (~v187(constB37))) | v187(constB37)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31394,plain,
% 9.48/7.06 ((~v186(constB37)) | (~v187(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31393, 31392])).
% 9.48/7.06 tff(31395,plain,
% 9.48/7.06 ((~(v185(constB37) <=> (~((~v186(constB37)) | (~v187(constB37)))))) | (~v185(constB37)) | (~((~v186(constB37)) | (~v187(constB37))))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31396,plain,
% 9.48/7.06 (~v185(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31395, 31394, 31302])).
% 9.48/7.06 tff(31397,plain,
% 9.48/7.06 ((~(v181(constB37) | v185(constB37))) | v181(constB37) | v185(constB37)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31398,plain,
% 9.48/7.06 (~(v181(constB37) | v185(constB37))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31397, 31396, 31300])).
% 9.48/7.06 tff(31399,plain,
% 9.48/7.06 ((~(v178(constB37) <=> (v181(constB37) | v185(constB37)))) | (~v178(constB37)) | (v181(constB37) | v185(constB37))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31400,plain,
% 9.48/7.06 (~v178(constB37)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31399, 31398, 31227])).
% 9.48/7.06 tff(31401,plain,
% 9.48/7.06 ((~(v180(constB38) <=> v178(constB37))) | (~v180(constB38)) | v178(constB37)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31402,plain,
% 9.48/7.06 (~v180(constB38)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31401, 31400, 31225])).
% 9.48/7.06 tff(31403,plain,
% 9.48/7.06 ((~(v157(constB38) <=> v180(constB38))) | (~v157(constB38)) | v180(constB38)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31404,plain,
% 9.48/7.06 (~v157(constB38)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31403, 31402, 31221])).
% 9.48/7.06 tff(31405,plain,
% 9.48/7.06 (((~v157(constB38)) | (~v182(constB38))) | v157(constB38)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31406,plain,
% 9.48/7.06 ((~v157(constB38)) | (~v182(constB38))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31405, 31404])).
% 9.48/7.06 tff(31407,plain,
% 9.48/7.06 ((~(v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38)))))) | (~v181(constB38)) | (~((~v157(constB38)) | (~v182(constB38))))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31408,plain,
% 9.48/7.06 (~v181(constB38)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31407, 31406, 31219])).
% 9.48/7.06 tff(31409,plain,
% 9.48/7.06 ((~(v181(constB38) | v185(constB38))) | v181(constB38) | v185(constB38)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31410,plain,
% 9.48/7.06 (~(v181(constB38) | v185(constB38))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31409, 31408, 31212])).
% 9.48/7.06 tff(31411,plain,
% 9.48/7.06 ((~(v178(constB38) <=> (v181(constB38) | v185(constB38)))) | (~v178(constB38)) | (v181(constB38) | v185(constB38))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31412,plain,
% 9.48/7.06 (~v178(constB38)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31411, 31410, 31187])).
% 9.48/7.06 tff(31413,plain,
% 9.48/7.06 ((~(v180(constB39) <=> v178(constB38))) | (~v180(constB39)) | v178(constB38)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31414,plain,
% 9.48/7.06 (~v180(constB39)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31413, 31412, 31185])).
% 9.48/7.06 tff(31415,plain,
% 9.48/7.06 ($false),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31414, 31181])).
% 9.48/7.06 tff(31416,plain,(~(constB39 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.48/7.06 tff(31417,assumption,(constB87 = VarCurr!0), introduced(assumption)).
% 9.48/7.06 tff(31418,plain,
% 9.48/7.06 (v180(constB87) <=> v180(VarCurr!0)),
% 9.48/7.06 inference(monotonicity,[status(thm)],[31417])).
% 9.48/7.06 tff(31419,plain,
% 9.48/7.06 (v180(VarCurr!0) <=> v180(constB87)),
% 9.48/7.06 inference(symmetry,[status(thm)],[31418])).
% 9.48/7.06 tff(31420,plain,
% 9.48/7.06 (v180(constB87)),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[59, 31419])).
% 9.48/7.06 tff(31421,plain,
% 9.48/7.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86)))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31422,plain,
% 9.48/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31423,plain,
% 9.48/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31422, 31421])).
% 9.48/7.06 tff(31424,plain,
% 9.48/7.06 (v180(constB87) <=> v178(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31423, 5656, 70])).
% 9.48/7.06 tff(31425,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB86) <=> (v181(constB86) | v185(constB86)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31426,plain,
% 9.48/7.06 (v178(constB86) <=> (v181(constB86) | v185(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31425, 84])).
% 9.48/7.06 tff(31427,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31428,plain,
% 9.48/7.06 (v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86))))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31427, 96])).
% 9.48/7.06 tff(31429,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB86) <=> (~((~v184(constB86)) | (~v159(constB86)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31430,plain,
% 9.48/7.06 (v187(constB86) <=> (~((~v184(constB86)) | (~v159(constB86))))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31429, 108])).
% 9.48/7.06 tff(31431,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31432,plain,
% 9.48/7.06 (v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86))))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31431, 120])).
% 9.48/7.06 tff(31433,plain,
% 9.48/7.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB86)) <=> v1(constB86))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31434,plain,
% 9.48/7.06 ((~v39(constB86)) <=> v1(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31433, 129])).
% 9.48/7.06 tff(31435,plain,
% 9.48/7.06 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86)) | (~v1(constB86))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31436,plain,
% 9.48/7.06 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31435, 5718])).
% 9.48/7.06 tff(31437,plain,
% 9.48/7.06 (~v39(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31436, 31434])).
% 9.48/7.06 tff(31438,plain,
% 9.48/7.06 (((~v39(constB86)) | (~v9(constB86))) | v39(constB86)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31439,plain,
% 9.48/7.06 ((~v39(constB86)) | (~v9(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31438, 31437])).
% 9.48/7.06 tff(31440,plain,
% 9.48/7.06 ((~(v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v184(constB86)) | (~((~v39(constB86)) | (~v9(constB86))))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31441,plain,
% 9.48/7.06 ((~(v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v184(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31440, 31439])).
% 9.48/7.06 tff(31442,plain,
% 9.48/7.06 (~v184(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31441, 31432])).
% 9.48/7.06 tff(31443,plain,
% 9.48/7.06 (((~v184(constB86)) | (~v159(constB86))) | v184(constB86)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31444,plain,
% 9.48/7.06 ((~v184(constB86)) | (~v159(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31443, 31442])).
% 9.48/7.06 tff(31445,plain,
% 9.48/7.06 ((~(v187(constB86) <=> (~((~v184(constB86)) | (~v159(constB86)))))) | (~v187(constB86)) | (~((~v184(constB86)) | (~v159(constB86))))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31446,plain,
% 9.48/7.06 ((~(v187(constB86) <=> (~((~v184(constB86)) | (~v159(constB86)))))) | (~v187(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31445, 31444])).
% 9.48/7.06 tff(31447,plain,
% 9.48/7.06 (~v187(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31446, 31430])).
% 9.48/7.06 tff(31448,plain,
% 9.48/7.06 (((~v186(constB86)) | (~v187(constB86))) | v187(constB86)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31449,plain,
% 9.48/7.06 ((~v186(constB86)) | (~v187(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31448, 31447])).
% 9.48/7.06 tff(31450,plain,
% 9.48/7.06 ((~(v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86)))))) | (~v185(constB86)) | (~((~v186(constB86)) | (~v187(constB86))))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31451,plain,
% 9.48/7.06 (~v185(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31450, 31449, 31428])).
% 9.48/7.06 tff(31452,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86))))))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31453,plain,
% 9.48/7.06 ((v181(constB86) <=> (~((~v182(constB86)) | (~v157(constB86))))) <=> (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86)))))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31454,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v157(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86))))))),
% 9.48/7.06 inference(monotonicity,[status(thm)],[31453])).
% 9.48/7.06 tff(31455,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v157(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86))))))),
% 9.48/7.06 inference(transitivity,[status(thm)],[31454, 31452])).
% 9.48/7.06 tff(31456,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v157(constB86)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31457,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86)))))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 9.48/7.06 tff(31458,plain,
% 9.48/7.06 (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86))))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31457, 161])).
% 9.48/7.06 tff(31459,plain,
% 9.48/7.06 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB86) <=> v180(constB86))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31460,plain,
% 9.48/7.06 (v157(constB86) <=> v180(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31459, 13])).
% 9.48/7.06 tff(31461,plain,
% 9.48/7.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85)))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31462,plain,
% 9.48/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31463,plain,
% 9.48/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31462, 31461])).
% 9.48/7.06 tff(31464,plain,
% 9.48/7.06 (v180(constB86) <=> v178(constB85)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31463, 5688, 70])).
% 9.48/7.06 tff(31465,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB85) <=> (v181(constB85) | v185(constB85)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31466,plain,
% 9.48/7.06 (v178(constB85) <=> (v181(constB85) | v185(constB85))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31465, 84])).
% 9.48/7.06 tff(31467,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85))))))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31468,plain,
% 9.48/7.06 ((v181(constB85) <=> (~((~v182(constB85)) | (~v157(constB85))))) <=> (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85)))))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31469,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v157(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85))))))),
% 9.48/7.06 inference(monotonicity,[status(thm)],[31468])).
% 9.48/7.06 tff(31470,plain,
% 9.48/7.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v157(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85))))))),
% 9.48/7.06 inference(transitivity,[status(thm)],[31469, 31467])).
% 9.48/7.06 tff(31471,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v157(constB85)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31472,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85)))))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31471, 31470])).
% 9.48/7.06 tff(31473,plain,
% 9.48/7.06 (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85))))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31472, 161])).
% 9.48/7.06 tff(31474,plain,
% 9.48/7.06 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB85)) <=> v183(constB85))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31475,plain,
% 9.48/7.06 ((~v182(constB85)) <=> v183(constB85)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31474, 193])).
% 9.48/7.06 tff(31476,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB85) <=> (v184(constB85) | v26(constB85)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31477,plain,
% 9.48/7.06 (v183(constB85) <=> (v184(constB85) | v26(constB85))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31476, 202])).
% 9.48/7.06 tff(31478,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31479,plain,
% 9.48/7.06 (v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85))))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31478, 120])).
% 9.48/7.06 tff(31480,plain,
% 9.48/7.06 (((~![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)))),
% 9.48/7.06 inference(rewrite,[status(thm)],[])).
% 9.48/7.06 tff(31481,plain,
% 9.48/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31482,plain,
% 9.48/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85))),
% 9.48/7.06 inference(modus_ponens,[status(thm)],[31481, 31480])).
% 9.48/7.06 tff(31483,plain,
% 9.48/7.06 (v13(constB86) <=> v9(constB85)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31482, 5688, 216])).
% 9.48/7.06 tff(31484,plain,
% 9.48/7.06 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB86) <=> v13(constB86))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31485,plain,
% 9.48/7.06 (v6(constB86) <=> v13(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31484, 230])).
% 9.48/7.06 tff(31486,plain,
% 9.48/7.06 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB86)) <=> v6(constB86))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31487,plain,
% 9.48/7.06 ((~v21(constB86)) <=> v6(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31486, 239])).
% 9.48/7.06 tff(31488,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB86) <=> (v20(constB86) | v21(constB86)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31489,plain,
% 9.48/7.06 (v19(constB86) <=> (v20(constB86) | v21(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31488, 248])).
% 9.48/7.06 tff(31490,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31491,plain,
% 9.48/7.06 (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86))))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31490, 260])).
% 9.48/7.06 tff(31492,plain,
% 9.48/7.06 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB86)) <=> v18(constB86))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31493,plain,
% 9.48/7.06 ((~v4(constB86)) <=> v18(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31492, 269])).
% 9.48/7.06 tff(31494,plain,
% 9.48/7.06 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB86)),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31495,plain,
% 9.48/7.06 (v4(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31494, 278])).
% 9.48/7.06 tff(31496,plain,
% 9.48/7.06 ((~((~v4(constB86)) <=> v18(constB86))) | (~v4(constB86)) | (~v18(constB86))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31497,plain,
% 9.48/7.06 (~v18(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31496, 31495, 31493])).
% 9.48/7.06 tff(31498,plain,
% 9.48/7.06 ((~(v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))) | v18(constB86) | ((~v19(constB86)) | (~v22(constB86)))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31499,plain,
% 9.48/7.06 ((~v19(constB86)) | (~v22(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31498, 31497, 31491])).
% 9.48/7.06 tff(31500,plain,
% 9.48/7.06 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB86) <=> (v1(constB86) | v6(constB86)))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31501,plain,
% 9.48/7.06 (v22(constB86) <=> (v1(constB86) | v6(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31500, 291])).
% 9.48/7.06 tff(31502,plain,
% 9.48/7.06 ((v1(constB86) | v6(constB86)) | (~v1(constB86))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31503,plain,
% 9.48/7.06 (v1(constB86) | v6(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31502, 5718])).
% 9.48/7.06 tff(31504,plain,
% 9.48/7.06 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86) | (~(v1(constB86) | v6(constB86)))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31505,plain,
% 9.48/7.06 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31504, 31503])).
% 9.48/7.06 tff(31506,plain,
% 9.48/7.06 (v22(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31505, 31501])).
% 9.48/7.06 tff(31507,plain,
% 9.48/7.06 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86)) | (~v22(constB86))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31508,plain,
% 9.48/7.06 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31507, 31506])).
% 9.48/7.06 tff(31509,plain,
% 9.48/7.06 (~v19(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31508, 31499])).
% 9.48/7.06 tff(31510,plain,
% 9.48/7.06 ((~(v19(constB86) <=> (v20(constB86) | v21(constB86)))) | v19(constB86) | (~(v20(constB86) | v21(constB86)))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31511,plain,
% 9.48/7.06 (~(v20(constB86) | v21(constB86))),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31510, 31509, 31489])).
% 9.48/7.06 tff(31512,plain,
% 9.48/7.06 ((v20(constB86) | v21(constB86)) | (~v21(constB86))),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31513,plain,
% 9.48/7.06 (~v21(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31512, 31511])).
% 9.48/7.06 tff(31514,plain,
% 9.48/7.06 ((~((~v21(constB86)) <=> v6(constB86))) | v21(constB86) | v6(constB86)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31515,plain,
% 9.48/7.06 (v6(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31514, 31513, 31487])).
% 9.48/7.06 tff(31516,plain,
% 9.48/7.06 ((~(v6(constB86) <=> v13(constB86))) | (~v6(constB86)) | v13(constB86)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31517,plain,
% 9.48/7.06 (v13(constB86)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31516, 31515, 31485])).
% 9.48/7.06 tff(31518,plain,
% 9.48/7.06 ((~(v13(constB86) <=> v9(constB85))) | (~v13(constB86)) | v9(constB85)),
% 9.48/7.06 inference(tautology,[status(thm)],[])).
% 9.48/7.06 tff(31519,plain,
% 9.48/7.06 (v9(constB85)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31518, 31517, 31483])).
% 9.48/7.06 tff(31520,plain,
% 9.48/7.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB85)) <=> v1(constB85))),
% 9.48/7.06 inference(quant_inst,[status(thm)],[])).
% 9.48/7.06 tff(31521,plain,
% 9.48/7.06 ((~v39(constB85)) <=> v1(constB85)),
% 9.48/7.06 inference(unit_resolution,[status(thm)],[31520, 129])).
% 9.48/7.06 tff(31522,plain,
% 9.48/7.06 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85) | v1(constB85)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31523,plain,
% 9.48/7.07 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31522, 5710])).
% 9.48/7.07 tff(31524,plain,
% 9.48/7.07 (v39(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31523, 31521])).
% 9.48/7.07 tff(31525,plain,
% 9.48/7.07 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v39(constB85)) | (~v9(constB85))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31526,plain,
% 9.48/7.07 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v9(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31525, 31524])).
% 9.48/7.07 tff(31527,plain,
% 9.48/7.07 (~((~v39(constB85)) | (~v9(constB85)))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31526, 31519])).
% 9.48/7.07 tff(31528,plain,
% 9.48/7.07 ((~(v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))) | v184(constB85) | ((~v39(constB85)) | (~v9(constB85)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31529,plain,
% 9.48/7.07 (v184(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31528, 31527, 31479])).
% 9.48/7.07 tff(31530,plain,
% 9.48/7.07 ((v184(constB85) | v26(constB85)) | (~v184(constB85))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31531,plain,
% 9.48/7.07 (v184(constB85) | v26(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31530, 31529])).
% 9.48/7.07 tff(31532,plain,
% 9.48/7.07 ((~(v183(constB85) <=> (v184(constB85) | v26(constB85)))) | v183(constB85) | (~(v184(constB85) | v26(constB85)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31533,plain,
% 9.48/7.07 (v183(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31532, 31531, 31477])).
% 9.48/7.07 tff(31534,plain,
% 9.48/7.07 ((~((~v182(constB85)) <=> v183(constB85))) | (~v182(constB85)) | (~v183(constB85))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31535,plain,
% 9.48/7.07 (~v182(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31534, 31533, 31475])).
% 9.48/7.07 tff(31536,plain,
% 9.48/7.07 (((~v157(constB85)) | (~v182(constB85))) | v182(constB85)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31537,plain,
% 9.48/7.07 ((~v157(constB85)) | (~v182(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31536, 31535])).
% 9.48/7.07 tff(31538,plain,
% 9.48/7.07 ((~(v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85)))))) | (~v181(constB85)) | (~((~v157(constB85)) | (~v182(constB85))))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31539,plain,
% 9.48/7.07 (~v181(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31538, 31537, 31473])).
% 9.48/7.07 tff(31540,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85)))))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31541,plain,
% 9.48/7.07 (v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85))))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31540, 96])).
% 9.48/7.07 tff(31542,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB85) <=> (~((~v184(constB85)) | (~v159(constB85)))))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31543,plain,
% 9.48/7.07 (v187(constB85) <=> (~((~v184(constB85)) | (~v159(constB85))))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31542, 108])).
% 9.48/7.07 tff(31544,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB85) <=> v161(constB85))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31545,plain,
% 9.48/7.07 (v159(constB85) <=> v161(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31544, 345])).
% 9.48/7.07 tff(31546,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2))))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31547,plain,
% 9.48/7.07 (v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31546, 360])).
% 9.48/7.07 tff(31548,plain,
% 9.48/7.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31549,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31550,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 9.48/7.07 tff(31551,plain,
% 9.48/7.07 (v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31550, 648, 372])).
% 9.48/7.07 tff(31552,plain,
% 9.48/7.07 ((~(v88(constB85, bitIndex2) <=> v90(constB85, bitIndex2))) | v88(constB85, bitIndex2) | (~v90(constB85, bitIndex2))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31553,plain,
% 9.48/7.07 (v88(constB85, bitIndex2)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31552, 16624, 31551])).
% 9.48/7.07 tff(31554,plain,
% 9.48/7.07 ((v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex2))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31555,plain,
% 9.48/7.07 (v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31554, 31553])).
% 9.48/7.07 tff(31556,plain,
% 9.48/7.07 ((~(v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2))))) | (~v139(constB85)) | (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31557,plain,
% 9.48/7.07 (~v139(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31556, 31555, 31547])).
% 9.48/7.07 tff(31558,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))))))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31559,plain,
% 9.48/7.07 ((v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0))))) <=> (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0)))))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31560,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))))))),
% 9.48/7.07 inference(monotonicity,[status(thm)],[31559])).
% 9.48/7.07 tff(31561,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))))))),
% 9.48/7.07 inference(transitivity,[status(thm)],[31560, 31558])).
% 9.48/7.07 tff(31562,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0)))))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31563,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0)))))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31562, 31561])).
% 9.48/7.07 tff(31564,plain,
% 9.48/7.07 (v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31563, 25795])).
% 9.48/7.07 tff(31565,plain,
% 9.48/7.07 ((v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))) | (~v88(constB85, bitIndex2))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31566,plain,
% 9.48/7.07 (v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31565, 31553])).
% 9.48/7.07 tff(31567,plain,
% 9.48/7.07 ((~(v140(constB85) <=> (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0)))))) | (~v140(constB85)) | (~(v88(constB85, bitIndex2) | v88(constB85, bitIndex1) | (~v88(constB85, bitIndex0))))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31568,plain,
% 9.48/7.07 (~v140(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31567, 31566, 31564])).
% 9.48/7.07 tff(31569,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB85) | v139(constB85) | (~v168(constB85)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB85) | v139(constB85) | (~v168(constB85)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31570,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB85) | v139(constB85) | (~v168(constB85)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31571,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB85) | v139(constB85) | (~v168(constB85))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31570, 31569])).
% 9.48/7.07 tff(31572,plain,
% 9.48/7.07 (v140(constB85) | v139(constB85) | (~v168(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31571, 25819])).
% 9.48/7.07 tff(31573,plain,
% 9.48/7.07 (~v168(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31572, 31568, 31557])).
% 9.48/7.07 tff(31574,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB85) <=> (v145(constB85) | v165(constB85)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31575,plain,
% 9.48/7.07 (v164(constB85) <=> (v145(constB85) | v165(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31574, 25834])).
% 9.48/7.07 tff(31576,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB85) <=> (v142(constB85) | v166(constB85)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31577,plain,
% 9.48/7.07 (v165(constB85) <=> (v142(constB85) | v166(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31576, 25846])).
% 9.48/7.07 tff(31578,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB85) <=> (v143(constB85) | v144(constB85)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31579,plain,
% 9.48/7.07 (v142(constB85) <=> (v143(constB85) | v144(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31578, 25855])).
% 9.48/7.07 tff(31580,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)))))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31581,plain,
% 9.48/7.07 ((v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2))))) <=> (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31582,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)))))),
% 9.48/7.07 inference(monotonicity,[status(thm)],[31581])).
% 9.48/7.07 tff(31583,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)))))),
% 9.48/7.07 inference(transitivity,[status(thm)],[31582, 31580])).
% 9.48/7.07 tff(31584,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31585,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31584, 31583])).
% 9.48/7.07 tff(31586,plain,
% 9.48/7.07 (v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31585, 26095])).
% 9.48/7.07 tff(31587,plain,
% 9.48/7.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31588,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31589,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31588, 31587])).
% 9.48/7.07 tff(31590,plain,
% 9.48/7.07 (v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31589, 9653, 372])).
% 9.48/7.07 tff(31591,plain,
% 9.48/7.07 ((~(v88(constB85, bitIndex0) <=> v90(constB85, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31592,plain,
% 9.48/7.07 (~v88(constB85, bitIndex0)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31591, 16655, 31590])).
% 9.48/7.07 tff(31593,plain,
% 9.48/7.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31594,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31595,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31594, 31593])).
% 9.48/7.07 tff(31596,plain,
% 9.48/7.07 (v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31595, 375, 372])).
% 9.48/7.07 tff(31597,plain,
% 9.48/7.07 ((~(v88(constB85, bitIndex1) <=> v90(constB85, bitIndex1))) | v88(constB85, bitIndex1) | (~v90(constB85, bitIndex1))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31598,plain,
% 9.48/7.07 (v88(constB85, bitIndex1)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31597, 16686, 31596])).
% 9.48/7.07 tff(31599,plain,
% 9.48/7.07 ((~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31600,plain,
% 9.48/7.07 (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31599, 31598, 31592, 31553])).
% 9.48/7.07 tff(31601,plain,
% 9.48/7.07 ((~(v144(constB85) <=> (~((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))))) | v144(constB85) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31602,plain,
% 9.48/7.07 (v144(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31601, 31600, 31586])).
% 9.48/7.07 tff(31603,plain,
% 9.48/7.07 ((v143(constB85) | v144(constB85)) | (~v144(constB85))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31604,plain,
% 9.48/7.07 (v143(constB85) | v144(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31603, 31602])).
% 9.48/7.07 tff(31605,plain,
% 9.48/7.07 ((~(v142(constB85) <=> (v143(constB85) | v144(constB85)))) | v142(constB85) | (~(v143(constB85) | v144(constB85)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31606,plain,
% 9.48/7.07 (v142(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31605, 31604, 31579])).
% 9.48/7.07 tff(31607,plain,
% 9.48/7.07 ((v142(constB85) | v166(constB85)) | (~v142(constB85))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31608,plain,
% 9.48/7.07 (v142(constB85) | v166(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31607, 31606])).
% 9.48/7.07 tff(31609,plain,
% 9.48/7.07 ((~(v165(constB85) <=> (v142(constB85) | v166(constB85)))) | v165(constB85) | (~(v142(constB85) | v166(constB85)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31610,plain,
% 9.48/7.07 (v165(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31609, 31608, 31577])).
% 9.48/7.07 tff(31611,plain,
% 9.48/7.07 ((v145(constB85) | v165(constB85)) | (~v165(constB85))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31612,plain,
% 9.48/7.07 (v145(constB85) | v165(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31611, 31610])).
% 9.48/7.07 tff(31613,plain,
% 9.48/7.07 ((~(v164(constB85) <=> (v145(constB85) | v165(constB85)))) | v164(constB85) | (~(v145(constB85) | v165(constB85)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31614,plain,
% 9.48/7.07 (v164(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31613, 31612, 31575])).
% 9.48/7.07 tff(31615,plain,
% 9.48/7.07 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB85)) | (v161(constB85) <=> v168(constB85)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB85)) | (v161(constB85) <=> v168(constB85)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31616,plain,
% 9.48/7.07 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB85)) | (v161(constB85) <=> v168(constB85)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31617,plain,
% 9.48/7.07 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB85)) | (v161(constB85) <=> v168(constB85))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31616, 31615])).
% 9.48/7.07 tff(31618,plain,
% 9.48/7.07 ((~v164(constB85)) | (v161(constB85) <=> v168(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31617, 25977])).
% 9.48/7.07 tff(31619,plain,
% 9.48/7.07 (v161(constB85) <=> v168(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31618, 31614])).
% 9.48/7.07 tff(31620,plain,
% 9.48/7.07 ((~(v161(constB85) <=> v168(constB85))) | (~v161(constB85)) | v168(constB85)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31621,plain,
% 9.48/7.07 (~v161(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31620, 31619, 31573])).
% 9.48/7.07 tff(31622,plain,
% 9.48/7.07 ((~(v159(constB85) <=> v161(constB85))) | (~v159(constB85)) | v161(constB85)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31623,plain,
% 9.48/7.07 ((~(v159(constB85) <=> v161(constB85))) | (~v159(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31622, 31621])).
% 9.48/7.07 tff(31624,plain,
% 9.48/7.07 (~v159(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31623, 31545])).
% 9.48/7.07 tff(31625,plain,
% 9.48/7.07 (((~v184(constB85)) | (~v159(constB85))) | v159(constB85)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31626,plain,
% 9.48/7.07 ((~v184(constB85)) | (~v159(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31625, 31624])).
% 9.48/7.07 tff(31627,plain,
% 9.48/7.07 ((~(v187(constB85) <=> (~((~v184(constB85)) | (~v159(constB85)))))) | (~v187(constB85)) | (~((~v184(constB85)) | (~v159(constB85))))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31628,plain,
% 9.48/7.07 (~v187(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31627, 31626, 31543])).
% 9.48/7.07 tff(31629,plain,
% 9.48/7.07 (((~v186(constB85)) | (~v187(constB85))) | v187(constB85)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31630,plain,
% 9.48/7.07 ((~v186(constB85)) | (~v187(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31629, 31628])).
% 9.48/7.07 tff(31631,plain,
% 9.48/7.07 ((~(v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85)))))) | (~v185(constB85)) | (~((~v186(constB85)) | (~v187(constB85))))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31632,plain,
% 9.48/7.07 (~v185(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31631, 31630, 31541])).
% 9.48/7.07 tff(31633,plain,
% 9.48/7.07 ((~(v181(constB85) | v185(constB85))) | v181(constB85) | v185(constB85)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31634,plain,
% 9.48/7.07 (~(v181(constB85) | v185(constB85))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31633, 31632, 31539])).
% 9.48/7.07 tff(31635,plain,
% 9.48/7.07 ((~(v178(constB85) <=> (v181(constB85) | v185(constB85)))) | (~v178(constB85)) | (v181(constB85) | v185(constB85))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31636,plain,
% 9.48/7.07 (~v178(constB85)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31635, 31634, 31466])).
% 9.48/7.07 tff(31637,plain,
% 9.48/7.07 ((~(v180(constB86) <=> v178(constB85))) | (~v180(constB86)) | v178(constB85)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31638,plain,
% 9.48/7.07 (~v180(constB86)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31637, 31636, 31464])).
% 9.48/7.07 tff(31639,plain,
% 9.48/7.07 ((~(v157(constB86) <=> v180(constB86))) | (~v157(constB86)) | v180(constB86)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31640,plain,
% 9.48/7.07 (~v157(constB86)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31639, 31638, 31460])).
% 9.48/7.07 tff(31641,plain,
% 9.48/7.07 (((~v157(constB86)) | (~v182(constB86))) | v157(constB86)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31642,plain,
% 9.48/7.07 ((~v157(constB86)) | (~v182(constB86))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31641, 31640])).
% 9.48/7.07 tff(31643,plain,
% 9.48/7.07 ((~(v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86)))))) | (~v181(constB86)) | (~((~v157(constB86)) | (~v182(constB86))))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31644,plain,
% 9.48/7.07 (~v181(constB86)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31643, 31642, 31458])).
% 9.48/7.07 tff(31645,plain,
% 9.48/7.07 ((~(v181(constB86) | v185(constB86))) | v181(constB86) | v185(constB86)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31646,plain,
% 9.48/7.07 (~(v181(constB86) | v185(constB86))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31645, 31644, 31451])).
% 9.48/7.07 tff(31647,plain,
% 9.48/7.07 ((~(v178(constB86) <=> (v181(constB86) | v185(constB86)))) | (~v178(constB86)) | (v181(constB86) | v185(constB86))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31648,plain,
% 9.48/7.07 (~v178(constB86)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31647, 31646, 31426])).
% 9.48/7.07 tff(31649,plain,
% 9.48/7.07 ((~(v180(constB87) <=> v178(constB86))) | (~v180(constB87)) | v178(constB86)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31650,plain,
% 9.48/7.07 (~v180(constB87)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31649, 31648, 31424])).
% 9.48/7.07 tff(31651,plain,
% 9.48/7.07 ($false),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31650, 31420])).
% 9.48/7.07 tff(31652,plain,(~(constB87 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.48/7.07 tff(31653,assumption,(constB137 = VarCurr!0), introduced(assumption)).
% 9.48/7.07 tff(31654,plain,
% 9.48/7.07 (v86(constB137) <=> v86(VarCurr!0)),
% 9.48/7.07 inference(monotonicity,[status(thm)],[31653])).
% 9.48/7.07 tff(31655,plain,
% 9.48/7.07 (v86(VarCurr!0) <=> v86(constB137)),
% 9.48/7.07 inference(symmetry,[status(thm)],[31654])).
% 9.48/7.07 tff(31656,plain,
% 9.48/7.07 ((~v86(VarCurr!0)) <=> (~v86(constB137))),
% 9.48/7.07 inference(monotonicity,[status(thm)],[31655])).
% 9.48/7.07 tff(31657,plain,
% 9.48/7.07 (~v86(constB137)),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[26079, 31656])).
% 9.48/7.07 tff(31658,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB137) <=> (v143(constB137) | v144(constB137)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31659,plain,
% 9.48/7.07 (v142(constB137) <=> (v143(constB137) | v144(constB137))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31658, 25855])).
% 9.48/7.07 tff(31660,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0)))))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31661,plain,
% 9.48/7.07 ((v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1))))) <=> (v143(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0))))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31662,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0)))))),
% 9.48/7.07 inference(monotonicity,[status(thm)],[31661])).
% 9.48/7.07 tff(31663,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0)))))),
% 9.48/7.07 inference(transitivity,[status(thm)],[31662, 31660])).
% 9.48/7.07 tff(31664,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31665,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0))))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31664, 31663])).
% 9.48/7.07 tff(31666,plain,
% 9.48/7.07 (v143(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0)))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31665, 25870])).
% 9.48/7.07 tff(31667,plain,
% 9.48/7.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31668,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31669,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31668, 31667])).
% 9.48/7.07 tff(31670,plain,
% 9.48/7.07 (v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31669, 648, 372])).
% 9.48/7.07 tff(31671,plain,
% 9.48/7.07 ((~(v88(constB137, bitIndex2) <=> v90(constB137, bitIndex2))) | (~v88(constB137, bitIndex2)) | v90(constB137, bitIndex2)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31672,plain,
% 9.48/7.07 (~v88(constB137, bitIndex2)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31671, 20896, 31670])).
% 9.48/7.07 tff(31673,plain,
% 9.48/7.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31674,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31675,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31674, 31673])).
% 9.48/7.07 tff(31676,plain,
% 9.48/7.07 (v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31675, 9653, 372])).
% 9.48/7.07 tff(31677,plain,
% 9.48/7.07 ((~(v88(constB137, bitIndex0) <=> v90(constB137, bitIndex0))) | (~v88(constB137, bitIndex0)) | v90(constB137, bitIndex0)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31678,plain,
% 9.48/7.07 (~v88(constB137, bitIndex0)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31677, 20927, 31676])).
% 9.48/7.07 tff(31679,plain,
% 9.48/7.07 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31680,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31681,plain,
% 9.48/7.07 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31680, 31679])).
% 9.48/7.07 tff(31682,plain,
% 9.48/7.07 (v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31681, 375, 372])).
% 9.48/7.07 tff(31683,plain,
% 9.48/7.07 ((~(v88(constB137, bitIndex1) <=> v90(constB137, bitIndex1))) | v88(constB137, bitIndex1) | (~v90(constB137, bitIndex1))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31684,plain,
% 9.48/7.07 (v88(constB137, bitIndex1)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31683, 20958, 31682])).
% 9.48/7.07 tff(31685,plain,
% 9.48/7.07 ((~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0))) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0)),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31686,plain,
% 9.48/7.07 (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31685, 31684, 31678, 31672])).
% 9.48/7.07 tff(31687,plain,
% 9.48/7.07 ((~(v143(constB137) <=> (~(v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0))))) | v143(constB137) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31688,plain,
% 9.48/7.07 (v143(constB137)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31687, 31686, 31666])).
% 9.48/7.07 tff(31689,plain,
% 9.48/7.07 ((v143(constB137) | v144(constB137)) | (~v143(constB137))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31690,plain,
% 9.48/7.07 (v143(constB137) | v144(constB137)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31689, 31688])).
% 9.48/7.07 tff(31691,plain,
% 9.48/7.07 ((~(v142(constB137) <=> (v143(constB137) | v144(constB137)))) | v142(constB137) | (~(v143(constB137) | v144(constB137)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31692,plain,
% 9.48/7.07 (v142(constB137)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31691, 31690, 31659])).
% 9.48/7.07 tff(31693,plain,
% 9.48/7.07 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB137) | (~v142(constB137)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB137) | (~v142(constB137)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31694,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB137) | (~v142(constB137)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31695,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB137) | (~v142(constB137))),
% 9.48/7.07 inference(modus_ponens,[status(thm)],[31694, 31693])).
% 9.48/7.07 tff(31696,plain,
% 9.48/7.07 (v148(constB137) | (~v142(constB137))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31695, 26138])).
% 9.48/7.07 tff(31697,plain,
% 9.48/7.07 (v148(constB137)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31696, 31692])).
% 9.48/7.07 tff(31698,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB137) <=> (v136(constB137) | v145(constB137)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31699,plain,
% 9.48/7.07 (v135(constB137) <=> (v136(constB137) | v145(constB137))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31698, 26150])).
% 9.48/7.07 tff(31700,plain,
% 9.48/7.07 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB137) <=> (v137(constB137) | v142(constB137)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31701,plain,
% 9.48/7.07 (v136(constB137) <=> (v137(constB137) | v142(constB137))),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31700, 26159])).
% 9.48/7.07 tff(31702,plain,
% 9.48/7.07 ((v137(constB137) | v142(constB137)) | (~v142(constB137))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31703,plain,
% 9.48/7.07 (v137(constB137) | v142(constB137)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31702, 31692])).
% 9.48/7.07 tff(31704,plain,
% 9.48/7.07 ((~(v136(constB137) <=> (v137(constB137) | v142(constB137)))) | v136(constB137) | (~(v137(constB137) | v142(constB137)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31705,plain,
% 9.48/7.07 (v136(constB137)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31704, 31703, 31701])).
% 9.48/7.07 tff(31706,plain,
% 9.48/7.07 ((v136(constB137) | v145(constB137)) | (~v136(constB137))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31707,plain,
% 9.48/7.07 (v136(constB137) | v145(constB137)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31706, 31705])).
% 9.48/7.07 tff(31708,plain,
% 9.48/7.07 ((~(v135(constB137) <=> (v136(constB137) | v145(constB137)))) | v135(constB137) | (~(v136(constB137) | v145(constB137)))),
% 9.48/7.07 inference(tautology,[status(thm)],[])).
% 9.48/7.07 tff(31709,plain,
% 9.48/7.07 (v135(constB137)),
% 9.48/7.07 inference(unit_resolution,[status(thm)],[31708, 31707, 31699])).
% 9.48/7.07 tff(31710,plain,
% 9.48/7.07 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB137)) | (v86(constB137) <=> v148(constB137)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB137)) | (v86(constB137) <=> v148(constB137)))),
% 9.48/7.07 inference(rewrite,[status(thm)],[])).
% 9.48/7.07 tff(31711,plain,
% 9.48/7.07 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB137)) | (v86(constB137) <=> v148(constB137)))),
% 9.48/7.07 inference(quant_inst,[status(thm)],[])).
% 9.48/7.07 tff(31712,plain,
% 9.48/7.08 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB137)) | (v86(constB137) <=> v148(constB137))),
% 9.48/7.08 inference(modus_ponens,[status(thm)],[31711, 31710])).
% 9.48/7.08 tff(31713,plain,
% 9.48/7.08 ((~v135(constB137)) | (v86(constB137) <=> v148(constB137))),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31712, 26179])).
% 9.48/7.08 tff(31714,plain,
% 9.48/7.08 (v86(constB137) <=> v148(constB137)),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31713, 31709])).
% 9.48/7.08 tff(31715,plain,
% 9.48/7.08 ((~(v86(constB137) <=> v148(constB137))) | v86(constB137) | (~v148(constB137))),
% 9.48/7.08 inference(tautology,[status(thm)],[])).
% 9.48/7.08 tff(31716,plain,
% 9.48/7.08 (v86(constB137)),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31715, 31714, 31697])).
% 9.48/7.08 tff(31717,plain,
% 9.48/7.08 ($false),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31716, 31657])).
% 9.48/7.08 tff(31718,plain,(~(constB137 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.48/7.08 tff(31719,assumption,(constB59 = VarCurr!0), introduced(assumption)).
% 9.48/7.08 tff(31720,plain,
% 9.48/7.08 (v180(constB59) <=> v180(VarCurr!0)),
% 9.48/7.08 inference(monotonicity,[status(thm)],[31719])).
% 9.48/7.08 tff(31721,plain,
% 9.48/7.08 (v180(VarCurr!0) <=> v180(constB59)),
% 9.48/7.08 inference(symmetry,[status(thm)],[31720])).
% 9.48/7.08 tff(31722,plain,
% 9.48/7.08 (v180(constB59)),
% 9.48/7.08 inference(modus_ponens,[status(thm)],[59, 31721])).
% 9.48/7.08 tff(31723,plain,
% 9.48/7.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> v178(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB58, constB59)) | (v180(constB59) <=> v178(constB58)))),
% 9.48/7.08 inference(rewrite,[status(thm)],[])).
% 9.48/7.08 tff(31724,plain,
% 9.48/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> v178(constB58)))),
% 9.48/7.08 inference(quant_inst,[status(thm)],[])).
% 9.48/7.08 tff(31725,plain,
% 9.48/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB58, constB59)) | (v180(constB59) <=> v178(constB58))),
% 9.48/7.08 inference(modus_ponens,[status(thm)],[31724, 31723])).
% 9.48/7.08 tff(31726,plain,
% 9.48/7.08 (v180(constB59) <=> v178(constB58)),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31725, 6936, 70])).
% 9.48/7.08 tff(31727,plain,
% 9.48/7.08 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB58) <=> (v181(constB58) | v185(constB58)))),
% 9.48/7.08 inference(quant_inst,[status(thm)],[])).
% 9.48/7.08 tff(31728,plain,
% 9.48/7.08 (v178(constB58) <=> (v181(constB58) | v185(constB58))),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31727, 84])).
% 9.48/7.08 tff(31729,plain,
% 9.48/7.08 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB58) <=> (~((~v186(constB58)) | (~v187(constB58)))))),
% 9.48/7.08 inference(quant_inst,[status(thm)],[])).
% 9.48/7.08 tff(31730,plain,
% 9.48/7.08 (v185(constB58) <=> (~((~v186(constB58)) | (~v187(constB58))))),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31729, 96])).
% 9.48/7.08 tff(31731,plain,
% 9.48/7.08 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB58) <=> (~((~v184(constB58)) | (~v159(constB58)))))),
% 9.48/7.08 inference(quant_inst,[status(thm)],[])).
% 9.48/7.08 tff(31732,plain,
% 9.48/7.08 (v187(constB58) <=> (~((~v184(constB58)) | (~v159(constB58))))),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31731, 108])).
% 9.48/7.08 tff(31733,plain,
% 9.48/7.08 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))),
% 9.48/7.08 inference(quant_inst,[status(thm)],[])).
% 9.48/7.08 tff(31734,plain,
% 9.48/7.08 (v184(constB58) <=> (~((~v39(constB58)) | (~v9(constB58))))),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31733, 120])).
% 9.48/7.08 tff(31735,plain,
% 9.48/7.08 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB58)) <=> v1(constB58))),
% 9.48/7.08 inference(quant_inst,[status(thm)],[])).
% 9.48/7.08 tff(31736,plain,
% 9.48/7.08 ((~v39(constB58)) <=> v1(constB58)),
% 9.48/7.08 inference(unit_resolution,[status(thm)],[31735, 129])).
% 9.48/7.08 tff(31737,plain,
% 9.48/7.08 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58)) | (~v1(constB58))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31738,plain,
% 9.50/7.08 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31737, 6998])).
% 9.50/7.08 tff(31739,plain,
% 9.50/7.08 (~v39(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31738, 31736])).
% 9.50/7.08 tff(31740,plain,
% 9.50/7.08 (((~v39(constB58)) | (~v9(constB58))) | v39(constB58)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31741,plain,
% 9.50/7.08 ((~v39(constB58)) | (~v9(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31740, 31739])).
% 9.50/7.08 tff(31742,plain,
% 9.50/7.08 ((~(v184(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v184(constB58)) | (~((~v39(constB58)) | (~v9(constB58))))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31743,plain,
% 9.50/7.08 ((~(v184(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v184(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31742, 31741])).
% 9.50/7.08 tff(31744,plain,
% 9.50/7.08 (~v184(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31743, 31734])).
% 9.50/7.08 tff(31745,plain,
% 9.50/7.08 (((~v184(constB58)) | (~v159(constB58))) | v184(constB58)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31746,plain,
% 9.50/7.08 ((~v184(constB58)) | (~v159(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31745, 31744])).
% 9.50/7.08 tff(31747,plain,
% 9.50/7.08 ((~(v187(constB58) <=> (~((~v184(constB58)) | (~v159(constB58)))))) | (~v187(constB58)) | (~((~v184(constB58)) | (~v159(constB58))))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31748,plain,
% 9.50/7.08 ((~(v187(constB58) <=> (~((~v184(constB58)) | (~v159(constB58)))))) | (~v187(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31747, 31746])).
% 9.50/7.08 tff(31749,plain,
% 9.50/7.08 (~v187(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31748, 31732])).
% 9.50/7.08 tff(31750,plain,
% 9.50/7.08 (((~v186(constB58)) | (~v187(constB58))) | v187(constB58)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31751,plain,
% 9.50/7.08 ((~v186(constB58)) | (~v187(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31750, 31749])).
% 9.50/7.08 tff(31752,plain,
% 9.50/7.08 ((~(v185(constB58) <=> (~((~v186(constB58)) | (~v187(constB58)))))) | (~v185(constB58)) | (~((~v186(constB58)) | (~v187(constB58))))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31753,plain,
% 9.50/7.08 (~v185(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31752, 31751, 31730])).
% 9.50/7.08 tff(31754,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58))))))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31755,plain,
% 9.50/7.08 ((v181(constB58) <=> (~((~v182(constB58)) | (~v157(constB58))))) <=> (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58)))))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31756,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v182(constB58)) | (~v157(constB58)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58))))))),
% 9.50/7.08 inference(monotonicity,[status(thm)],[31755])).
% 9.50/7.08 tff(31757,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v182(constB58)) | (~v157(constB58)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58))))))),
% 9.50/7.08 inference(transitivity,[status(thm)],[31756, 31754])).
% 9.50/7.08 tff(31758,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v182(constB58)) | (~v157(constB58)))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31759,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58)))))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31758, 31757])).
% 9.50/7.08 tff(31760,plain,
% 9.50/7.08 (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58))))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31759, 161])).
% 9.50/7.08 tff(31761,plain,
% 9.50/7.08 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB58) <=> v180(constB58))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31762,plain,
% 9.50/7.08 (v157(constB58) <=> v180(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31761, 13])).
% 9.50/7.08 tff(31763,plain,
% 9.50/7.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> v178(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB57, constB58)) | (v180(constB58) <=> v178(constB57)))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31764,plain,
% 9.50/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> v178(constB57)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31765,plain,
% 9.50/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB57, constB58)) | (v180(constB58) <=> v178(constB57))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31764, 31763])).
% 9.50/7.08 tff(31766,plain,
% 9.50/7.08 (v180(constB58) <=> v178(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31765, 6968, 70])).
% 9.50/7.08 tff(31767,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB57) <=> (v181(constB57) | v185(constB57)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31768,plain,
% 9.50/7.08 (v178(constB57) <=> (v181(constB57) | v185(constB57))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31767, 84])).
% 9.50/7.08 tff(31769,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57))))))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31770,plain,
% 9.50/7.08 ((v181(constB57) <=> (~((~v182(constB57)) | (~v157(constB57))))) <=> (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57)))))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31771,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v182(constB57)) | (~v157(constB57)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57))))))),
% 9.50/7.08 inference(monotonicity,[status(thm)],[31770])).
% 9.50/7.08 tff(31772,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v182(constB57)) | (~v157(constB57)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57))))))),
% 9.50/7.08 inference(transitivity,[status(thm)],[31771, 31769])).
% 9.50/7.08 tff(31773,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v182(constB57)) | (~v157(constB57)))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31774,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57)))))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31773, 31772])).
% 9.50/7.08 tff(31775,plain,
% 9.50/7.08 (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57))))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31774, 161])).
% 9.50/7.08 tff(31776,plain,
% 9.50/7.08 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB57)) <=> v183(constB57))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31777,plain,
% 9.50/7.08 ((~v182(constB57)) <=> v183(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31776, 193])).
% 9.50/7.08 tff(31778,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB57) <=> (v184(constB57) | v26(constB57)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31779,plain,
% 9.50/7.08 (v183(constB57) <=> (v184(constB57) | v26(constB57))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31778, 202])).
% 9.50/7.08 tff(31780,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB57) <=> (~((~v39(constB57)) | (~v9(constB57)))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31781,plain,
% 9.50/7.08 (v184(constB57) <=> (~((~v39(constB57)) | (~v9(constB57))))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31780, 120])).
% 9.50/7.08 tff(31782,plain,
% 9.50/7.08 (((~![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)))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31783,plain,
% 9.50/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31784,plain,
% 9.50/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31783, 31782])).
% 9.50/7.08 tff(31785,plain,
% 9.50/7.08 (v13(constB58) <=> v9(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31784, 6968, 216])).
% 9.50/7.08 tff(31786,plain,
% 9.50/7.08 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB58) <=> v13(constB58))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31787,plain,
% 9.50/7.08 (v6(constB58) <=> v13(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31786, 230])).
% 9.50/7.08 tff(31788,plain,
% 9.50/7.08 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB58)) <=> v6(constB58))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31789,plain,
% 9.50/7.08 ((~v21(constB58)) <=> v6(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31788, 239])).
% 9.50/7.08 tff(31790,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB58) <=> (v20(constB58) | v21(constB58)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31791,plain,
% 9.50/7.08 (v19(constB58) <=> (v20(constB58) | v21(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31790, 248])).
% 9.50/7.08 tff(31792,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58)))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31793,plain,
% 9.50/7.08 (v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58))))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31792, 260])).
% 9.50/7.08 tff(31794,plain,
% 9.50/7.08 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB58)) <=> v18(constB58))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31795,plain,
% 9.50/7.08 ((~v4(constB58)) <=> v18(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31794, 269])).
% 9.50/7.08 tff(31796,plain,
% 9.50/7.08 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB58)),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31797,plain,
% 9.50/7.08 (v4(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31796, 278])).
% 9.50/7.08 tff(31798,plain,
% 9.50/7.08 ((~((~v4(constB58)) <=> v18(constB58))) | (~v4(constB58)) | (~v18(constB58))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31799,plain,
% 9.50/7.08 (~v18(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31798, 31797, 31795])).
% 9.50/7.08 tff(31800,plain,
% 9.50/7.08 ((~(v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58)))))) | v18(constB58) | ((~v19(constB58)) | (~v22(constB58)))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31801,plain,
% 9.50/7.08 ((~v19(constB58)) | (~v22(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31800, 31799, 31793])).
% 9.50/7.08 tff(31802,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB58) <=> (v1(constB58) | v6(constB58)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31803,plain,
% 9.50/7.08 (v22(constB58) <=> (v1(constB58) | v6(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31802, 291])).
% 9.50/7.08 tff(31804,plain,
% 9.50/7.08 ((v1(constB58) | v6(constB58)) | (~v1(constB58))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31805,plain,
% 9.50/7.08 (v1(constB58) | v6(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31804, 6998])).
% 9.50/7.08 tff(31806,plain,
% 9.50/7.08 ((~(v22(constB58) <=> (v1(constB58) | v6(constB58)))) | v22(constB58) | (~(v1(constB58) | v6(constB58)))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31807,plain,
% 9.50/7.08 ((~(v22(constB58) <=> (v1(constB58) | v6(constB58)))) | v22(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31806, 31805])).
% 9.50/7.08 tff(31808,plain,
% 9.50/7.08 (v22(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31807, 31803])).
% 9.50/7.08 tff(31809,plain,
% 9.50/7.08 ((~((~v19(constB58)) | (~v22(constB58)))) | (~v19(constB58)) | (~v22(constB58))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31810,plain,
% 9.50/7.08 ((~((~v19(constB58)) | (~v22(constB58)))) | (~v19(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31809, 31808])).
% 9.50/7.08 tff(31811,plain,
% 9.50/7.08 (~v19(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31810, 31801])).
% 9.50/7.08 tff(31812,plain,
% 9.50/7.08 ((~(v19(constB58) <=> (v20(constB58) | v21(constB58)))) | v19(constB58) | (~(v20(constB58) | v21(constB58)))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31813,plain,
% 9.50/7.08 (~(v20(constB58) | v21(constB58))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31812, 31811, 31791])).
% 9.50/7.08 tff(31814,plain,
% 9.50/7.08 ((v20(constB58) | v21(constB58)) | (~v21(constB58))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31815,plain,
% 9.50/7.08 (~v21(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31814, 31813])).
% 9.50/7.08 tff(31816,plain,
% 9.50/7.08 ((~((~v21(constB58)) <=> v6(constB58))) | v21(constB58) | v6(constB58)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31817,plain,
% 9.50/7.08 (v6(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31816, 31815, 31789])).
% 9.50/7.08 tff(31818,plain,
% 9.50/7.08 ((~(v6(constB58) <=> v13(constB58))) | (~v6(constB58)) | v13(constB58)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31819,plain,
% 9.50/7.08 (v13(constB58)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31818, 31817, 31787])).
% 9.50/7.08 tff(31820,plain,
% 9.50/7.08 ((~(v13(constB58) <=> v9(constB57))) | (~v13(constB58)) | v9(constB57)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31821,plain,
% 9.50/7.08 (v9(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31820, 31819, 31785])).
% 9.50/7.08 tff(31822,plain,
% 9.50/7.08 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB57)) <=> v1(constB57))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31823,plain,
% 9.50/7.08 ((~v39(constB57)) <=> v1(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31822, 129])).
% 9.50/7.08 tff(31824,plain,
% 9.50/7.08 ((~((~v39(constB57)) <=> v1(constB57))) | v39(constB57) | v1(constB57)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31825,plain,
% 9.50/7.08 ((~((~v39(constB57)) <=> v1(constB57))) | v39(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31824, 6990])).
% 9.50/7.08 tff(31826,plain,
% 9.50/7.08 (v39(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31825, 31823])).
% 9.50/7.08 tff(31827,plain,
% 9.50/7.08 ((~((~v39(constB57)) | (~v9(constB57)))) | (~v39(constB57)) | (~v9(constB57))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31828,plain,
% 9.50/7.08 ((~((~v39(constB57)) | (~v9(constB57)))) | (~v9(constB57))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31827, 31826])).
% 9.50/7.08 tff(31829,plain,
% 9.50/7.08 (~((~v39(constB57)) | (~v9(constB57)))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31828, 31821])).
% 9.50/7.08 tff(31830,plain,
% 9.50/7.08 ((~(v184(constB57) <=> (~((~v39(constB57)) | (~v9(constB57)))))) | v184(constB57) | ((~v39(constB57)) | (~v9(constB57)))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31831,plain,
% 9.50/7.08 (v184(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31830, 31829, 31781])).
% 9.50/7.08 tff(31832,plain,
% 9.50/7.08 ((v184(constB57) | v26(constB57)) | (~v184(constB57))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31833,plain,
% 9.50/7.08 (v184(constB57) | v26(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31832, 31831])).
% 9.50/7.08 tff(31834,plain,
% 9.50/7.08 ((~(v183(constB57) <=> (v184(constB57) | v26(constB57)))) | v183(constB57) | (~(v184(constB57) | v26(constB57)))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31835,plain,
% 9.50/7.08 (v183(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31834, 31833, 31779])).
% 9.50/7.08 tff(31836,plain,
% 9.50/7.08 ((~((~v182(constB57)) <=> v183(constB57))) | (~v182(constB57)) | (~v183(constB57))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31837,plain,
% 9.50/7.08 (~v182(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31836, 31835, 31777])).
% 9.50/7.08 tff(31838,plain,
% 9.50/7.08 (((~v157(constB57)) | (~v182(constB57))) | v182(constB57)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31839,plain,
% 9.50/7.08 ((~v157(constB57)) | (~v182(constB57))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31838, 31837])).
% 9.50/7.08 tff(31840,plain,
% 9.50/7.08 ((~(v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57)))))) | (~v181(constB57)) | (~((~v157(constB57)) | (~v182(constB57))))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31841,plain,
% 9.50/7.08 (~v181(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31840, 31839, 31775])).
% 9.50/7.08 tff(31842,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB57) <=> (~((~v186(constB57)) | (~v187(constB57)))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31843,plain,
% 9.50/7.08 (v185(constB57) <=> (~((~v186(constB57)) | (~v187(constB57))))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31842, 96])).
% 9.50/7.08 tff(31844,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB57) <=> (~((~v184(constB57)) | (~v159(constB57)))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31845,plain,
% 9.50/7.08 (v187(constB57) <=> (~((~v184(constB57)) | (~v159(constB57))))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31844, 108])).
% 9.50/7.08 tff(31846,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB57) <=> v161(constB57))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31847,plain,
% 9.50/7.08 (v159(constB57) <=> v161(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31846, 345])).
% 9.50/7.08 tff(31848,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31849,plain,
% 9.50/7.08 (v139(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2)))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31848, 360])).
% 9.50/7.08 tff(31850,plain,
% 9.50/7.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2)))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31851,plain,
% 9.50/7.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31852,plain,
% 9.50/7.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31851, 31850])).
% 9.50/7.08 tff(31853,plain,
% 9.50/7.08 (v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31852, 648, 372])).
% 9.50/7.08 tff(31854,plain,
% 9.50/7.08 ((~(v88(constB57, bitIndex2) <=> v90(constB57, bitIndex2))) | v88(constB57, bitIndex2) | (~v90(constB57, bitIndex2))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31855,plain,
% 9.50/7.08 (v88(constB57, bitIndex2)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31854, 14376, 31853])).
% 9.50/7.08 tff(31856,plain,
% 9.50/7.08 ((v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2)) | (~v88(constB57, bitIndex2))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31857,plain,
% 9.50/7.08 (v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31856, 31855])).
% 9.50/7.08 tff(31858,plain,
% 9.50/7.08 ((~(v139(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2))))) | (~v139(constB57)) | (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2)))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31859,plain,
% 9.50/7.08 (~v139(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31858, 31857, 31849])).
% 9.50/7.08 tff(31860,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31861,plain,
% 9.50/7.08 ((v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0))))) <=> (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31862,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))))),
% 9.50/7.08 inference(monotonicity,[status(thm)],[31861])).
% 9.50/7.08 tff(31863,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))))),
% 9.50/7.08 inference(transitivity,[status(thm)],[31862, 31860])).
% 9.50/7.08 tff(31864,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0)))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31865,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31864, 31863])).
% 9.50/7.08 tff(31866,plain,
% 9.50/7.08 (v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31865, 25795])).
% 9.50/7.08 tff(31867,plain,
% 9.50/7.08 ((v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))) | (~v88(constB57, bitIndex2))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31868,plain,
% 9.50/7.08 (v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31867, 31855])).
% 9.50/7.08 tff(31869,plain,
% 9.50/7.08 ((~(v140(constB57) <=> (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)))))) | (~v140(constB57)) | (~(v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0))))),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31870,plain,
% 9.50/7.08 (~v140(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31869, 31868, 31866])).
% 9.50/7.08 tff(31871,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB57) | v140(constB57) | (~v168(constB57)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB57) | v140(constB57) | (~v168(constB57)))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31872,plain,
% 9.50/7.08 ((v140(constB57) | v139(constB57) | (~v168(constB57))) <=> (v139(constB57) | v140(constB57) | (~v168(constB57)))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31873,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v168(constB57)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB57) | v140(constB57) | (~v168(constB57))))),
% 9.50/7.08 inference(monotonicity,[status(thm)],[31872])).
% 9.50/7.08 tff(31874,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v168(constB57)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB57) | v140(constB57) | (~v168(constB57)))),
% 9.50/7.08 inference(transitivity,[status(thm)],[31873, 31871])).
% 9.50/7.08 tff(31875,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v168(constB57)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31876,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB57) | v140(constB57) | (~v168(constB57))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31875, 31874])).
% 9.50/7.08 tff(31877,plain,
% 9.50/7.08 (v139(constB57) | v140(constB57) | (~v168(constB57))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31876, 25819])).
% 9.50/7.08 tff(31878,plain,
% 9.50/7.08 (~v168(constB57)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31877, 31870, 31859])).
% 9.50/7.08 tff(31879,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB57) <=> (v145(constB57) | v165(constB57)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31880,plain,
% 9.50/7.08 (v164(constB57) <=> (v145(constB57) | v165(constB57))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31879, 25834])).
% 9.50/7.08 tff(31881,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB57) <=> (v146(constB57) | v147(constB57)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31882,plain,
% 9.50/7.08 (v145(constB57) <=> (v146(constB57) | v147(constB57))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31881, 27691])).
% 9.50/7.08 tff(31883,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0)))))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31884,plain,
% 9.50/7.08 ((v146(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2))))) <=> (v146(constB57) <=> (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0))))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31885,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0)))))),
% 9.50/7.08 inference(monotonicity,[status(thm)],[31884])).
% 9.50/7.08 tff(31886,plain,
% 9.50/7.08 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0)))))),
% 9.50/7.08 inference(transitivity,[status(thm)],[31885, 31883])).
% 9.50/7.08 tff(31887,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)))))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31888,plain,
% 9.50/7.08 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0))))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31887, 31886])).
% 9.50/7.08 tff(31889,plain,
% 9.50/7.08 (v146(constB57) <=> (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0)))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31888, 27706])).
% 9.50/7.08 tff(31890,plain,
% 9.50/7.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0)))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31891,plain,
% 9.50/7.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31892,plain,
% 9.50/7.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 9.50/7.08 tff(31893,plain,
% 9.50/7.08 (v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31892, 9653, 372])).
% 9.50/7.08 tff(31894,plain,
% 9.50/7.08 ((~(v88(constB57, bitIndex0) <=> v90(constB57, bitIndex0))) | (~v88(constB57, bitIndex0)) | v90(constB57, bitIndex0)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31895,plain,
% 9.50/7.08 (~v88(constB57, bitIndex0)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31894, 14407, 31893])).
% 9.50/7.08 tff(31896,plain,
% 9.50/7.08 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1)))),
% 9.50/7.08 inference(rewrite,[status(thm)],[])).
% 9.50/7.08 tff(31897,plain,
% 9.50/7.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1)))),
% 9.50/7.08 inference(quant_inst,[status(thm)],[])).
% 9.50/7.08 tff(31898,plain,
% 9.50/7.08 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1))),
% 9.50/7.08 inference(modus_ponens,[status(thm)],[31897, 31896])).
% 9.50/7.08 tff(31899,plain,
% 9.50/7.08 (v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31898, 375, 372])).
% 9.50/7.08 tff(31900,plain,
% 9.50/7.08 ((~(v88(constB57, bitIndex1) <=> v90(constB57, bitIndex1))) | (~v88(constB57, bitIndex1)) | v90(constB57, bitIndex1)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31901,plain,
% 9.50/7.08 (~v88(constB57, bitIndex1)),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31900, 14438, 31899])).
% 9.50/7.08 tff(31902,plain,
% 9.50/7.08 ((~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0))) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0)),
% 9.50/7.08 inference(tautology,[status(thm)],[])).
% 9.50/7.08 tff(31903,plain,
% 9.50/7.08 (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0))),
% 9.50/7.08 inference(unit_resolution,[status(thm)],[31902, 31901, 31895, 31855])).
% 9.50/7.09 tff(31904,plain,
% 9.50/7.09 ((~(v146(constB57) <=> (~((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0))))) | v146(constB57) | ((~v88(constB57, bitIndex2)) | v88(constB57, bitIndex1) | v88(constB57, bitIndex0))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31905,plain,
% 9.50/7.09 (v146(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31904, 31903, 31889])).
% 9.50/7.09 tff(31906,plain,
% 9.50/7.09 ((v146(constB57) | v147(constB57)) | (~v146(constB57))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31907,plain,
% 9.50/7.09 (v146(constB57) | v147(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31906, 31905])).
% 9.50/7.09 tff(31908,plain,
% 9.50/7.09 ((~(v145(constB57) <=> (v146(constB57) | v147(constB57)))) | v145(constB57) | (~(v146(constB57) | v147(constB57)))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31909,plain,
% 9.50/7.09 (v145(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31908, 31907, 31882])).
% 9.50/7.09 tff(31910,plain,
% 9.50/7.09 ((v145(constB57) | v165(constB57)) | (~v145(constB57))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31911,plain,
% 9.50/7.09 (v145(constB57) | v165(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31910, 31909])).
% 9.50/7.09 tff(31912,plain,
% 9.50/7.09 ((~(v164(constB57) <=> (v145(constB57) | v165(constB57)))) | v164(constB57) | (~(v145(constB57) | v165(constB57)))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31913,plain,
% 9.50/7.09 (v164(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31912, 31911, 31880])).
% 9.50/7.09 tff(31914,plain,
% 9.50/7.09 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB57)) | (v161(constB57) <=> v168(constB57)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB57)) | (v161(constB57) <=> v168(constB57)))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(31915,plain,
% 9.50/7.09 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB57)) | (v161(constB57) <=> v168(constB57)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31916,plain,
% 9.50/7.09 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB57)) | (v161(constB57) <=> v168(constB57))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[31915, 31914])).
% 9.50/7.09 tff(31917,plain,
% 9.50/7.09 ((~v164(constB57)) | (v161(constB57) <=> v168(constB57))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31916, 25977])).
% 9.50/7.09 tff(31918,plain,
% 9.50/7.09 (v161(constB57) <=> v168(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31917, 31913])).
% 9.50/7.09 tff(31919,plain,
% 9.50/7.09 ((~(v161(constB57) <=> v168(constB57))) | (~v161(constB57)) | v168(constB57)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31920,plain,
% 9.50/7.09 (~v161(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31919, 31918, 31878])).
% 9.50/7.09 tff(31921,plain,
% 9.50/7.09 ((~(v159(constB57) <=> v161(constB57))) | (~v159(constB57)) | v161(constB57)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31922,plain,
% 9.50/7.09 ((~(v159(constB57) <=> v161(constB57))) | (~v159(constB57))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31921, 31920])).
% 9.50/7.09 tff(31923,plain,
% 9.50/7.09 (~v159(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31922, 31847])).
% 9.50/7.09 tff(31924,plain,
% 9.50/7.09 (((~v184(constB57)) | (~v159(constB57))) | v159(constB57)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31925,plain,
% 9.50/7.09 ((~v184(constB57)) | (~v159(constB57))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31924, 31923])).
% 9.50/7.09 tff(31926,plain,
% 9.50/7.09 ((~(v187(constB57) <=> (~((~v184(constB57)) | (~v159(constB57)))))) | (~v187(constB57)) | (~((~v184(constB57)) | (~v159(constB57))))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31927,plain,
% 9.50/7.09 (~v187(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31926, 31925, 31845])).
% 9.50/7.09 tff(31928,plain,
% 9.50/7.09 (((~v186(constB57)) | (~v187(constB57))) | v187(constB57)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31929,plain,
% 9.50/7.09 ((~v186(constB57)) | (~v187(constB57))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31928, 31927])).
% 9.50/7.09 tff(31930,plain,
% 9.50/7.09 ((~(v185(constB57) <=> (~((~v186(constB57)) | (~v187(constB57)))))) | (~v185(constB57)) | (~((~v186(constB57)) | (~v187(constB57))))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31931,plain,
% 9.50/7.09 (~v185(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31930, 31929, 31843])).
% 9.50/7.09 tff(31932,plain,
% 9.50/7.09 ((~(v181(constB57) | v185(constB57))) | v181(constB57) | v185(constB57)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31933,plain,
% 9.50/7.09 (~(v181(constB57) | v185(constB57))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31932, 31931, 31841])).
% 9.50/7.09 tff(31934,plain,
% 9.50/7.09 ((~(v178(constB57) <=> (v181(constB57) | v185(constB57)))) | (~v178(constB57)) | (v181(constB57) | v185(constB57))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31935,plain,
% 9.50/7.09 (~v178(constB57)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31934, 31933, 31768])).
% 9.50/7.09 tff(31936,plain,
% 9.50/7.09 ((~(v180(constB58) <=> v178(constB57))) | (~v180(constB58)) | v178(constB57)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31937,plain,
% 9.50/7.09 (~v180(constB58)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31936, 31935, 31766])).
% 9.50/7.09 tff(31938,plain,
% 9.50/7.09 ((~(v157(constB58) <=> v180(constB58))) | (~v157(constB58)) | v180(constB58)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31939,plain,
% 9.50/7.09 (~v157(constB58)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31938, 31937, 31762])).
% 9.50/7.09 tff(31940,plain,
% 9.50/7.09 (((~v157(constB58)) | (~v182(constB58))) | v157(constB58)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31941,plain,
% 9.50/7.09 ((~v157(constB58)) | (~v182(constB58))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31940, 31939])).
% 9.50/7.09 tff(31942,plain,
% 9.50/7.09 ((~(v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58)))))) | (~v181(constB58)) | (~((~v157(constB58)) | (~v182(constB58))))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31943,plain,
% 9.50/7.09 (~v181(constB58)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31942, 31941, 31760])).
% 9.50/7.09 tff(31944,plain,
% 9.50/7.09 ((~(v181(constB58) | v185(constB58))) | v181(constB58) | v185(constB58)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31945,plain,
% 9.50/7.09 (~(v181(constB58) | v185(constB58))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31944, 31943, 31753])).
% 9.50/7.09 tff(31946,plain,
% 9.50/7.09 ((~(v178(constB58) <=> (v181(constB58) | v185(constB58)))) | (~v178(constB58)) | (v181(constB58) | v185(constB58))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31947,plain,
% 9.50/7.09 (~v178(constB58)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31946, 31945, 31728])).
% 9.50/7.09 tff(31948,plain,
% 9.50/7.09 ((~(v180(constB59) <=> v178(constB58))) | (~v180(constB59)) | v178(constB58)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31949,plain,
% 9.50/7.09 (~v180(constB59)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31948, 31947, 31726])).
% 9.50/7.09 tff(31950,plain,
% 9.50/7.09 ($false),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31949, 31722])).
% 9.50/7.09 tff(31951,plain,(~(constB59 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.50/7.09 tff(31952,assumption,(constB67 = VarCurr!0), introduced(assumption)).
% 9.50/7.09 tff(31953,plain,
% 9.50/7.09 (v180(constB67) <=> v180(VarCurr!0)),
% 9.50/7.09 inference(monotonicity,[status(thm)],[31952])).
% 9.50/7.09 tff(31954,plain,
% 9.50/7.09 (v180(VarCurr!0) <=> v180(constB67)),
% 9.50/7.09 inference(symmetry,[status(thm)],[31953])).
% 9.50/7.09 tff(31955,plain,
% 9.50/7.09 (v180(constB67)),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[59, 31954])).
% 9.50/7.09 tff(31956,plain,
% 9.50/7.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66)))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(31957,plain,
% 9.50/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31958,plain,
% 9.50/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[31957, 31956])).
% 9.50/7.09 tff(31959,plain,
% 9.50/7.09 (v180(constB67) <=> v178(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31958, 6568, 70])).
% 9.50/7.09 tff(31960,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB66) <=> (v181(constB66) | v185(constB66)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31961,plain,
% 9.50/7.09 (v178(constB66) <=> (v181(constB66) | v185(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31960, 84])).
% 9.50/7.09 tff(31962,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31963,plain,
% 9.50/7.09 (v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31962, 96])).
% 9.50/7.09 tff(31964,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB66) <=> (~((~v184(constB66)) | (~v159(constB66)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31965,plain,
% 9.50/7.09 (v187(constB66) <=> (~((~v184(constB66)) | (~v159(constB66))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31964, 108])).
% 9.50/7.09 tff(31966,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31967,plain,
% 9.50/7.09 (v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31966, 120])).
% 9.50/7.09 tff(31968,plain,
% 9.50/7.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB66)) <=> v1(constB66))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31969,plain,
% 9.50/7.09 ((~v39(constB66)) <=> v1(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31968, 129])).
% 9.50/7.09 tff(31970,plain,
% 9.50/7.09 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66)) | (~v1(constB66))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31971,plain,
% 9.50/7.09 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31970, 6630])).
% 9.50/7.09 tff(31972,plain,
% 9.50/7.09 (~v39(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31971, 31969])).
% 9.50/7.09 tff(31973,plain,
% 9.50/7.09 (((~v39(constB66)) | (~v9(constB66))) | v39(constB66)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31974,plain,
% 9.50/7.09 ((~v39(constB66)) | (~v9(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31973, 31972])).
% 9.50/7.09 tff(31975,plain,
% 9.50/7.09 ((~(v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v184(constB66)) | (~((~v39(constB66)) | (~v9(constB66))))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31976,plain,
% 9.50/7.09 ((~(v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v184(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31975, 31974])).
% 9.50/7.09 tff(31977,plain,
% 9.50/7.09 (~v184(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31976, 31967])).
% 9.50/7.09 tff(31978,plain,
% 9.50/7.09 (((~v184(constB66)) | (~v159(constB66))) | v184(constB66)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31979,plain,
% 9.50/7.09 ((~v184(constB66)) | (~v159(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31978, 31977])).
% 9.50/7.09 tff(31980,plain,
% 9.50/7.09 ((~(v187(constB66) <=> (~((~v184(constB66)) | (~v159(constB66)))))) | (~v187(constB66)) | (~((~v184(constB66)) | (~v159(constB66))))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31981,plain,
% 9.50/7.09 ((~(v187(constB66) <=> (~((~v184(constB66)) | (~v159(constB66)))))) | (~v187(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31980, 31979])).
% 9.50/7.09 tff(31982,plain,
% 9.50/7.09 (~v187(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31981, 31965])).
% 9.50/7.09 tff(31983,plain,
% 9.50/7.09 (((~v186(constB66)) | (~v187(constB66))) | v187(constB66)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31984,plain,
% 9.50/7.09 ((~v186(constB66)) | (~v187(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31983, 31982])).
% 9.50/7.09 tff(31985,plain,
% 9.50/7.09 ((~(v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66)))))) | (~v185(constB66)) | (~((~v186(constB66)) | (~v187(constB66))))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(31986,plain,
% 9.50/7.09 (~v185(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31985, 31984, 31963])).
% 9.50/7.09 tff(31987,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66))))))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(31988,plain,
% 9.50/7.09 ((v181(constB66) <=> (~((~v182(constB66)) | (~v157(constB66))))) <=> (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66)))))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(31989,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66))))))),
% 9.50/7.09 inference(monotonicity,[status(thm)],[31988])).
% 9.50/7.09 tff(31990,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66))))))),
% 9.50/7.09 inference(transitivity,[status(thm)],[31989, 31987])).
% 9.50/7.09 tff(31991,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v157(constB66)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31992,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66)))))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[31991, 31990])).
% 9.50/7.09 tff(31993,plain,
% 9.50/7.09 (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31992, 161])).
% 9.50/7.09 tff(31994,plain,
% 9.50/7.09 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB66) <=> v180(constB66))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31995,plain,
% 9.50/7.09 (v157(constB66) <=> v180(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31994, 13])).
% 9.50/7.09 tff(31996,plain,
% 9.50/7.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65)))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(31997,plain,
% 9.50/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(31998,plain,
% 9.50/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[31997, 31996])).
% 9.50/7.09 tff(31999,plain,
% 9.50/7.09 (v180(constB66) <=> v178(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[31998, 6600, 70])).
% 9.50/7.09 tff(32000,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB65) <=> (v181(constB65) | v185(constB65)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32001,plain,
% 9.50/7.09 (v178(constB65) <=> (v181(constB65) | v185(constB65))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32000, 84])).
% 9.50/7.09 tff(32002,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65))))))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(32003,plain,
% 9.50/7.09 ((v181(constB65) <=> (~((~v182(constB65)) | (~v157(constB65))))) <=> (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65)))))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(32004,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65))))))),
% 9.50/7.09 inference(monotonicity,[status(thm)],[32003])).
% 9.50/7.09 tff(32005,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65))))))),
% 9.50/7.09 inference(transitivity,[status(thm)],[32004, 32002])).
% 9.50/7.09 tff(32006,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v157(constB65)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32007,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65)))))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[32006, 32005])).
% 9.50/7.09 tff(32008,plain,
% 9.50/7.09 (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32007, 161])).
% 9.50/7.09 tff(32009,plain,
% 9.50/7.09 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB65)) <=> v183(constB65))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32010,plain,
% 9.50/7.09 ((~v182(constB65)) <=> v183(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32009, 193])).
% 9.50/7.09 tff(32011,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB65) <=> (v184(constB65) | v26(constB65)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32012,plain,
% 9.50/7.09 (v183(constB65) <=> (v184(constB65) | v26(constB65))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32011, 202])).
% 9.50/7.09 tff(32013,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32014,plain,
% 9.50/7.09 (v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32013, 120])).
% 9.50/7.09 tff(32015,plain,
% 9.50/7.09 (((~![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)))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(32016,plain,
% 9.50/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32017,plain,
% 9.50/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[32016, 32015])).
% 9.50/7.09 tff(32018,plain,
% 9.50/7.09 (v13(constB66) <=> v9(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32017, 6600, 216])).
% 9.50/7.09 tff(32019,plain,
% 9.50/7.09 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB66) <=> v13(constB66))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32020,plain,
% 9.50/7.09 (v6(constB66) <=> v13(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32019, 230])).
% 9.50/7.09 tff(32021,plain,
% 9.50/7.09 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB66)) <=> v6(constB66))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32022,plain,
% 9.50/7.09 ((~v21(constB66)) <=> v6(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32021, 239])).
% 9.50/7.09 tff(32023,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB66) <=> (v20(constB66) | v21(constB66)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32024,plain,
% 9.50/7.09 (v19(constB66) <=> (v20(constB66) | v21(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32023, 248])).
% 9.50/7.09 tff(32025,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32026,plain,
% 9.50/7.09 (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32025, 260])).
% 9.50/7.09 tff(32027,plain,
% 9.50/7.09 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB66)) <=> v18(constB66))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32028,plain,
% 9.50/7.09 ((~v4(constB66)) <=> v18(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32027, 269])).
% 9.50/7.09 tff(32029,plain,
% 9.50/7.09 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB66)),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32030,plain,
% 9.50/7.09 (v4(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32029, 278])).
% 9.50/7.09 tff(32031,plain,
% 9.50/7.09 ((~((~v4(constB66)) <=> v18(constB66))) | (~v4(constB66)) | (~v18(constB66))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32032,plain,
% 9.50/7.09 (~v18(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32031, 32030, 32028])).
% 9.50/7.09 tff(32033,plain,
% 9.50/7.09 ((~(v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))) | v18(constB66) | ((~v19(constB66)) | (~v22(constB66)))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32034,plain,
% 9.50/7.09 ((~v19(constB66)) | (~v22(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32033, 32032, 32026])).
% 9.50/7.09 tff(32035,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB66) <=> (v1(constB66) | v6(constB66)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32036,plain,
% 9.50/7.09 (v22(constB66) <=> (v1(constB66) | v6(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32035, 291])).
% 9.50/7.09 tff(32037,plain,
% 9.50/7.09 ((v1(constB66) | v6(constB66)) | (~v1(constB66))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32038,plain,
% 9.50/7.09 (v1(constB66) | v6(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32037, 6630])).
% 9.50/7.09 tff(32039,plain,
% 9.50/7.09 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66) | (~(v1(constB66) | v6(constB66)))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32040,plain,
% 9.50/7.09 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32039, 32038])).
% 9.50/7.09 tff(32041,plain,
% 9.50/7.09 (v22(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32040, 32036])).
% 9.50/7.09 tff(32042,plain,
% 9.50/7.09 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66)) | (~v22(constB66))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32043,plain,
% 9.50/7.09 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32042, 32041])).
% 9.50/7.09 tff(32044,plain,
% 9.50/7.09 (~v19(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32043, 32034])).
% 9.50/7.09 tff(32045,plain,
% 9.50/7.09 ((~(v19(constB66) <=> (v20(constB66) | v21(constB66)))) | v19(constB66) | (~(v20(constB66) | v21(constB66)))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32046,plain,
% 9.50/7.09 (~(v20(constB66) | v21(constB66))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32045, 32044, 32024])).
% 9.50/7.09 tff(32047,plain,
% 9.50/7.09 ((v20(constB66) | v21(constB66)) | (~v21(constB66))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32048,plain,
% 9.50/7.09 (~v21(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32047, 32046])).
% 9.50/7.09 tff(32049,plain,
% 9.50/7.09 ((~((~v21(constB66)) <=> v6(constB66))) | v21(constB66) | v6(constB66)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32050,plain,
% 9.50/7.09 (v6(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32049, 32048, 32022])).
% 9.50/7.09 tff(32051,plain,
% 9.50/7.09 ((~(v6(constB66) <=> v13(constB66))) | (~v6(constB66)) | v13(constB66)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32052,plain,
% 9.50/7.09 (v13(constB66)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32051, 32050, 32020])).
% 9.50/7.09 tff(32053,plain,
% 9.50/7.09 ((~(v13(constB66) <=> v9(constB65))) | (~v13(constB66)) | v9(constB65)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32054,plain,
% 9.50/7.09 (v9(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32053, 32052, 32018])).
% 9.50/7.09 tff(32055,plain,
% 9.50/7.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB65)) <=> v1(constB65))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32056,plain,
% 9.50/7.09 ((~v39(constB65)) <=> v1(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32055, 129])).
% 9.50/7.09 tff(32057,plain,
% 9.50/7.09 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65) | v1(constB65)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32058,plain,
% 9.50/7.09 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32057, 6622])).
% 9.50/7.09 tff(32059,plain,
% 9.50/7.09 (v39(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32058, 32056])).
% 9.50/7.09 tff(32060,plain,
% 9.50/7.09 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v39(constB65)) | (~v9(constB65))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32061,plain,
% 9.50/7.09 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v9(constB65))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32060, 32059])).
% 9.50/7.09 tff(32062,plain,
% 9.50/7.09 (~((~v39(constB65)) | (~v9(constB65)))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32061, 32054])).
% 9.50/7.09 tff(32063,plain,
% 9.50/7.09 ((~(v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))) | v184(constB65) | ((~v39(constB65)) | (~v9(constB65)))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32064,plain,
% 9.50/7.09 (v184(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32063, 32062, 32014])).
% 9.50/7.09 tff(32065,plain,
% 9.50/7.09 ((v184(constB65) | v26(constB65)) | (~v184(constB65))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32066,plain,
% 9.50/7.09 (v184(constB65) | v26(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32065, 32064])).
% 9.50/7.09 tff(32067,plain,
% 9.50/7.09 ((~(v183(constB65) <=> (v184(constB65) | v26(constB65)))) | v183(constB65) | (~(v184(constB65) | v26(constB65)))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32068,plain,
% 9.50/7.09 (v183(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32067, 32066, 32012])).
% 9.50/7.09 tff(32069,plain,
% 9.50/7.09 ((~((~v182(constB65)) <=> v183(constB65))) | (~v182(constB65)) | (~v183(constB65))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32070,plain,
% 9.50/7.09 (~v182(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32069, 32068, 32010])).
% 9.50/7.09 tff(32071,plain,
% 9.50/7.09 (((~v157(constB65)) | (~v182(constB65))) | v182(constB65)),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32072,plain,
% 9.50/7.09 ((~v157(constB65)) | (~v182(constB65))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32071, 32070])).
% 9.50/7.09 tff(32073,plain,
% 9.50/7.09 ((~(v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65)))))) | (~v181(constB65)) | (~((~v157(constB65)) | (~v182(constB65))))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32074,plain,
% 9.50/7.09 (~v181(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32073, 32072, 32008])).
% 9.50/7.09 tff(32075,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32076,plain,
% 9.50/7.09 (v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32075, 96])).
% 9.50/7.09 tff(32077,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB65) <=> (~((~v184(constB65)) | (~v159(constB65)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32078,plain,
% 9.50/7.09 (v187(constB65) <=> (~((~v184(constB65)) | (~v159(constB65))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32077, 108])).
% 9.50/7.09 tff(32079,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB65) <=> v161(constB65))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32080,plain,
% 9.50/7.09 (v159(constB65) <=> v161(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32079, 345])).
% 9.50/7.09 tff(32081,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32082,plain,
% 9.50/7.09 (v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32081, 360])).
% 9.50/7.09 tff(32083,plain,
% 9.50/7.09 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(32084,plain,
% 9.50/7.09 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32085,plain,
% 9.50/7.09 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[32084, 32083])).
% 9.50/7.09 tff(32086,plain,
% 9.50/7.09 (v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32085, 375, 372])).
% 9.50/7.09 tff(32087,plain,
% 9.50/7.09 ((~(v88(constB65, bitIndex1) <=> v90(constB65, bitIndex1))) | v88(constB65, bitIndex1) | (~v90(constB65, bitIndex1))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32088,plain,
% 9.50/7.09 (v88(constB65, bitIndex1)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32087, 15102, 32086])).
% 9.50/7.09 tff(32089,plain,
% 9.50/7.09 ((v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32090,plain,
% 9.50/7.09 (v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32089, 32088])).
% 9.50/7.09 tff(32091,plain,
% 9.50/7.09 ((~(v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2))))) | (~v139(constB65)) | (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32092,plain,
% 9.50/7.09 (~v139(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32091, 32090, 32082])).
% 9.50/7.09 tff(32093,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))))))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(32094,plain,
% 9.50/7.09 ((v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0))))) <=> (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0)))))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(32095,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))))))),
% 9.50/7.09 inference(monotonicity,[status(thm)],[32094])).
% 9.50/7.09 tff(32096,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))))))),
% 9.50/7.09 inference(transitivity,[status(thm)],[32095, 32093])).
% 9.50/7.09 tff(32097,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0)))))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32098,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0)))))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[32097, 32096])).
% 9.50/7.09 tff(32099,plain,
% 9.50/7.09 (v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32098, 25795])).
% 9.50/7.09 tff(32100,plain,
% 9.50/7.09 ((v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))) | (~v88(constB65, bitIndex1))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32101,plain,
% 9.50/7.09 (v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32100, 32088])).
% 9.50/7.09 tff(32102,plain,
% 9.50/7.09 ((~(v140(constB65) <=> (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0)))))) | (~v140(constB65)) | (~(v88(constB65, bitIndex2) | v88(constB65, bitIndex1) | (~v88(constB65, bitIndex0))))),
% 9.50/7.09 inference(tautology,[status(thm)],[])).
% 9.50/7.09 tff(32103,plain,
% 9.50/7.09 (~v140(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32102, 32101, 32099])).
% 9.50/7.09 tff(32104,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v168(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB65) | v139(constB65) | (~v168(constB65)))),
% 9.50/7.09 inference(rewrite,[status(thm)],[])).
% 9.50/7.09 tff(32105,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v168(constB65)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32106,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB65) | v139(constB65) | (~v168(constB65))),
% 9.50/7.09 inference(modus_ponens,[status(thm)],[32105, 32104])).
% 9.50/7.09 tff(32107,plain,
% 9.50/7.09 (v140(constB65) | v139(constB65) | (~v168(constB65))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32106, 25819])).
% 9.50/7.09 tff(32108,plain,
% 9.50/7.09 (~v168(constB65)),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32107, 32103, 32092])).
% 9.50/7.09 tff(32109,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB65) <=> (v145(constB65) | v165(constB65)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32110,plain,
% 9.50/7.09 (v164(constB65) <=> (v145(constB65) | v165(constB65))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32109, 25834])).
% 9.50/7.09 tff(32111,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB65) <=> (v142(constB65) | v166(constB65)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32112,plain,
% 9.50/7.09 (v165(constB65) <=> (v142(constB65) | v166(constB65))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32111, 25846])).
% 9.50/7.09 tff(32113,plain,
% 9.50/7.09 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB65) <=> (v143(constB65) | v144(constB65)))),
% 9.50/7.09 inference(quant_inst,[status(thm)],[])).
% 9.50/7.09 tff(32114,plain,
% 9.50/7.09 (v142(constB65) <=> (v143(constB65) | v144(constB65))),
% 9.50/7.09 inference(unit_resolution,[status(thm)],[32113, 25855])).
% 9.50/7.09 tff(32115,plain,
% 9.50/7.09 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)))))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32116,plain,
% 9.50/7.10 ((v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1))))) <=> (v143(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32117,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)))))),
% 9.50/7.10 inference(monotonicity,[status(thm)],[32116])).
% 9.50/7.10 tff(32118,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)))))),
% 9.50/7.10 inference(transitivity,[status(thm)],[32117, 32115])).
% 9.50/7.10 tff(32119,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32120,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32119, 32118])).
% 9.50/7.10 tff(32121,plain,
% 9.50/7.10 (v143(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32120, 25870])).
% 9.50/7.10 tff(32122,plain,
% 9.50/7.10 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32123,plain,
% 9.50/7.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32124,plain,
% 9.50/7.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32123, 32122])).
% 9.50/7.10 tff(32125,plain,
% 9.50/7.10 (v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32124, 648, 372])).
% 9.50/7.10 tff(32126,plain,
% 9.50/7.10 ((~(v88(constB65, bitIndex2) <=> v90(constB65, bitIndex2))) | (~v88(constB65, bitIndex2)) | v90(constB65, bitIndex2)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32127,plain,
% 9.50/7.10 (~v88(constB65, bitIndex2)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32126, 15040, 32125])).
% 9.50/7.10 tff(32128,plain,
% 9.50/7.10 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32129,plain,
% 9.50/7.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32130,plain,
% 9.50/7.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 9.50/7.10 tff(32131,plain,
% 9.50/7.10 (v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32130, 9653, 372])).
% 9.50/7.10 tff(32132,plain,
% 9.50/7.10 ((~(v88(constB65, bitIndex0) <=> v90(constB65, bitIndex0))) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32133,plain,
% 9.50/7.10 (~v88(constB65, bitIndex0)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32132, 15071, 32131])).
% 9.50/7.10 tff(32134,plain,
% 9.50/7.10 ((~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32135,plain,
% 9.50/7.10 (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32134, 32088, 32133, 32127])).
% 9.50/7.10 tff(32136,plain,
% 9.50/7.10 ((~(v143(constB65) <=> (~(v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))))) | v143(constB65) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32137,plain,
% 9.50/7.10 (v143(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32136, 32135, 32121])).
% 9.50/7.10 tff(32138,plain,
% 9.50/7.10 ((v143(constB65) | v144(constB65)) | (~v143(constB65))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32139,plain,
% 9.50/7.10 (v143(constB65) | v144(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32138, 32137])).
% 9.50/7.10 tff(32140,plain,
% 9.50/7.10 ((~(v142(constB65) <=> (v143(constB65) | v144(constB65)))) | v142(constB65) | (~(v143(constB65) | v144(constB65)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32141,plain,
% 9.50/7.10 (v142(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32140, 32139, 32114])).
% 9.50/7.10 tff(32142,plain,
% 9.50/7.10 ((v142(constB65) | v166(constB65)) | (~v142(constB65))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32143,plain,
% 9.50/7.10 (v142(constB65) | v166(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32142, 32141])).
% 9.50/7.10 tff(32144,plain,
% 9.50/7.10 ((~(v165(constB65) <=> (v142(constB65) | v166(constB65)))) | v165(constB65) | (~(v142(constB65) | v166(constB65)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32145,plain,
% 9.50/7.10 (v165(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32144, 32143, 32112])).
% 9.50/7.10 tff(32146,plain,
% 9.50/7.10 ((v145(constB65) | v165(constB65)) | (~v165(constB65))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32147,plain,
% 9.50/7.10 (v145(constB65) | v165(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32146, 32145])).
% 9.50/7.10 tff(32148,plain,
% 9.50/7.10 ((~(v164(constB65) <=> (v145(constB65) | v165(constB65)))) | v164(constB65) | (~(v145(constB65) | v165(constB65)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32149,plain,
% 9.50/7.10 (v164(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32148, 32147, 32110])).
% 9.50/7.10 tff(32150,plain,
% 9.50/7.10 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB65)) | (v161(constB65) <=> v168(constB65)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB65)) | (v161(constB65) <=> v168(constB65)))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32151,plain,
% 9.50/7.10 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB65)) | (v161(constB65) <=> v168(constB65)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32152,plain,
% 9.50/7.10 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB65)) | (v161(constB65) <=> v168(constB65))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32151, 32150])).
% 9.50/7.10 tff(32153,plain,
% 9.50/7.10 ((~v164(constB65)) | (v161(constB65) <=> v168(constB65))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32152, 25977])).
% 9.50/7.10 tff(32154,plain,
% 9.50/7.10 (v161(constB65) <=> v168(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32153, 32149])).
% 9.50/7.10 tff(32155,plain,
% 9.50/7.10 ((~(v161(constB65) <=> v168(constB65))) | (~v161(constB65)) | v168(constB65)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32156,plain,
% 9.50/7.10 (~v161(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32155, 32154, 32108])).
% 9.50/7.10 tff(32157,plain,
% 9.50/7.10 ((~(v159(constB65) <=> v161(constB65))) | (~v159(constB65)) | v161(constB65)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32158,plain,
% 9.50/7.10 ((~(v159(constB65) <=> v161(constB65))) | (~v159(constB65))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32157, 32156])).
% 9.50/7.10 tff(32159,plain,
% 9.50/7.10 (~v159(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32158, 32080])).
% 9.50/7.10 tff(32160,plain,
% 9.50/7.10 (((~v184(constB65)) | (~v159(constB65))) | v159(constB65)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32161,plain,
% 9.50/7.10 ((~v184(constB65)) | (~v159(constB65))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32160, 32159])).
% 9.50/7.10 tff(32162,plain,
% 9.50/7.10 ((~(v187(constB65) <=> (~((~v184(constB65)) | (~v159(constB65)))))) | (~v187(constB65)) | (~((~v184(constB65)) | (~v159(constB65))))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32163,plain,
% 9.50/7.10 (~v187(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32162, 32161, 32078])).
% 9.50/7.10 tff(32164,plain,
% 9.50/7.10 (((~v186(constB65)) | (~v187(constB65))) | v187(constB65)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32165,plain,
% 9.50/7.10 ((~v186(constB65)) | (~v187(constB65))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32164, 32163])).
% 9.50/7.10 tff(32166,plain,
% 9.50/7.10 ((~(v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65)))))) | (~v185(constB65)) | (~((~v186(constB65)) | (~v187(constB65))))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32167,plain,
% 9.50/7.10 (~v185(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32166, 32165, 32076])).
% 9.50/7.10 tff(32168,plain,
% 9.50/7.10 ((~(v181(constB65) | v185(constB65))) | v181(constB65) | v185(constB65)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32169,plain,
% 9.50/7.10 (~(v181(constB65) | v185(constB65))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32168, 32167, 32074])).
% 9.50/7.10 tff(32170,plain,
% 9.50/7.10 ((~(v178(constB65) <=> (v181(constB65) | v185(constB65)))) | (~v178(constB65)) | (v181(constB65) | v185(constB65))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32171,plain,
% 9.50/7.10 (~v178(constB65)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32170, 32169, 32001])).
% 9.50/7.10 tff(32172,plain,
% 9.50/7.10 ((~(v180(constB66) <=> v178(constB65))) | (~v180(constB66)) | v178(constB65)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32173,plain,
% 9.50/7.10 (~v180(constB66)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32172, 32171, 31999])).
% 9.50/7.10 tff(32174,plain,
% 9.50/7.10 ((~(v157(constB66) <=> v180(constB66))) | (~v157(constB66)) | v180(constB66)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32175,plain,
% 9.50/7.10 (~v157(constB66)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32174, 32173, 31995])).
% 9.50/7.10 tff(32176,plain,
% 9.50/7.10 (((~v157(constB66)) | (~v182(constB66))) | v157(constB66)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32177,plain,
% 9.50/7.10 ((~v157(constB66)) | (~v182(constB66))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32176, 32175])).
% 9.50/7.10 tff(32178,plain,
% 9.50/7.10 ((~(v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66)))))) | (~v181(constB66)) | (~((~v157(constB66)) | (~v182(constB66))))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32179,plain,
% 9.50/7.10 (~v181(constB66)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32178, 32177, 31993])).
% 9.50/7.10 tff(32180,plain,
% 9.50/7.10 ((~(v181(constB66) | v185(constB66))) | v181(constB66) | v185(constB66)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32181,plain,
% 9.50/7.10 (~(v181(constB66) | v185(constB66))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32180, 32179, 31986])).
% 9.50/7.10 tff(32182,plain,
% 9.50/7.10 ((~(v178(constB66) <=> (v181(constB66) | v185(constB66)))) | (~v178(constB66)) | (v181(constB66) | v185(constB66))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32183,plain,
% 9.50/7.10 (~v178(constB66)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32182, 32181, 31961])).
% 9.50/7.10 tff(32184,plain,
% 9.50/7.10 ((~(v180(constB67) <=> v178(constB66))) | (~v180(constB67)) | v178(constB66)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32185,plain,
% 9.50/7.10 (~v180(constB67)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32184, 32183, 31959])).
% 9.50/7.10 tff(32186,plain,
% 9.50/7.10 ($false),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32185, 31955])).
% 9.50/7.10 tff(32187,plain,(~(constB67 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.50/7.10 tff(32188,assumption,(constB71 = VarCurr!0), introduced(assumption)).
% 9.50/7.10 tff(32189,plain,
% 9.50/7.10 (v180(constB71) <=> v180(VarCurr!0)),
% 9.50/7.10 inference(monotonicity,[status(thm)],[32188])).
% 9.50/7.10 tff(32190,plain,
% 9.50/7.10 (v180(VarCurr!0) <=> v180(constB71)),
% 9.50/7.10 inference(symmetry,[status(thm)],[32189])).
% 9.50/7.10 tff(32191,plain,
% 9.50/7.10 (v180(constB71)),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[59, 32190])).
% 9.50/7.10 tff(32192,plain,
% 9.50/7.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB70, constB71)) | (v180(constB71) <=> v178(constB70)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB70, constB71)) | (v180(constB71) <=> v178(constB70)))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32193,plain,
% 9.50/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB70, constB71)) | (v180(constB71) <=> v178(constB70)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32194,plain,
% 9.50/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB70, constB71)) | (v180(constB71) <=> v178(constB70))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32193, 32192])).
% 9.50/7.10 tff(32195,plain,
% 9.50/7.10 (v180(constB71) <=> v178(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32194, 6384, 70])).
% 9.50/7.10 tff(32196,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB70) <=> (v181(constB70) | v185(constB70)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32197,plain,
% 9.50/7.10 (v178(constB70) <=> (v181(constB70) | v185(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32196, 84])).
% 9.50/7.10 tff(32198,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB70) <=> (~((~v186(constB70)) | (~v187(constB70)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32199,plain,
% 9.50/7.10 (v185(constB70) <=> (~((~v186(constB70)) | (~v187(constB70))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32198, 96])).
% 9.50/7.10 tff(32200,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB70) <=> (~((~v184(constB70)) | (~v159(constB70)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32201,plain,
% 9.50/7.10 (v187(constB70) <=> (~((~v184(constB70)) | (~v159(constB70))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32200, 108])).
% 9.50/7.10 tff(32202,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32203,plain,
% 9.50/7.10 (v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32202, 120])).
% 9.50/7.10 tff(32204,plain,
% 9.50/7.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB70)) <=> v1(constB70))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32205,plain,
% 9.50/7.10 ((~v39(constB70)) <=> v1(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32204, 129])).
% 9.50/7.10 tff(32206,plain,
% 9.50/7.10 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70)) | (~v1(constB70))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32207,plain,
% 9.50/7.10 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32206, 6446])).
% 9.50/7.10 tff(32208,plain,
% 9.50/7.10 (~v39(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32207, 32205])).
% 9.50/7.10 tff(32209,plain,
% 9.50/7.10 (((~v39(constB70)) | (~v9(constB70))) | v39(constB70)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32210,plain,
% 9.50/7.10 ((~v39(constB70)) | (~v9(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32209, 32208])).
% 9.50/7.10 tff(32211,plain,
% 9.50/7.10 ((~(v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v184(constB70)) | (~((~v39(constB70)) | (~v9(constB70))))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32212,plain,
% 9.50/7.10 ((~(v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v184(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32211, 32210])).
% 9.50/7.10 tff(32213,plain,
% 9.50/7.10 (~v184(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32212, 32203])).
% 9.50/7.10 tff(32214,plain,
% 9.50/7.10 (((~v184(constB70)) | (~v159(constB70))) | v184(constB70)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32215,plain,
% 9.50/7.10 ((~v184(constB70)) | (~v159(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32214, 32213])).
% 9.50/7.10 tff(32216,plain,
% 9.50/7.10 ((~(v187(constB70) <=> (~((~v184(constB70)) | (~v159(constB70)))))) | (~v187(constB70)) | (~((~v184(constB70)) | (~v159(constB70))))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32217,plain,
% 9.50/7.10 ((~(v187(constB70) <=> (~((~v184(constB70)) | (~v159(constB70)))))) | (~v187(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32216, 32215])).
% 9.50/7.10 tff(32218,plain,
% 9.50/7.10 (~v187(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32217, 32201])).
% 9.50/7.10 tff(32219,plain,
% 9.50/7.10 (((~v186(constB70)) | (~v187(constB70))) | v187(constB70)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32220,plain,
% 9.50/7.10 ((~v186(constB70)) | (~v187(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32219, 32218])).
% 9.50/7.10 tff(32221,plain,
% 9.50/7.10 ((~(v185(constB70) <=> (~((~v186(constB70)) | (~v187(constB70)))))) | (~v185(constB70)) | (~((~v186(constB70)) | (~v187(constB70))))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32222,plain,
% 9.50/7.10 (~v185(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32221, 32220, 32199])).
% 9.50/7.10 tff(32223,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70))))))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32224,plain,
% 9.50/7.10 ((v181(constB70) <=> (~((~v182(constB70)) | (~v157(constB70))))) <=> (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70)))))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32225,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v182(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70))))))),
% 9.50/7.10 inference(monotonicity,[status(thm)],[32224])).
% 9.50/7.10 tff(32226,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v182(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70))))))),
% 9.50/7.10 inference(transitivity,[status(thm)],[32225, 32223])).
% 9.50/7.10 tff(32227,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v182(constB70)) | (~v157(constB70)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32228,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70)))))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32227, 32226])).
% 9.50/7.10 tff(32229,plain,
% 9.50/7.10 (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32228, 161])).
% 9.50/7.10 tff(32230,plain,
% 9.50/7.10 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB70) <=> v180(constB70))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32231,plain,
% 9.50/7.10 (v157(constB70) <=> v180(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32230, 13])).
% 9.50/7.10 tff(32232,plain,
% 9.50/7.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB69, constB70)) | (v180(constB70) <=> v178(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB69, constB70)) | (v180(constB70) <=> v178(constB69)))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32233,plain,
% 9.50/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB69, constB70)) | (v180(constB70) <=> v178(constB69)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32234,plain,
% 9.50/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB69, constB70)) | (v180(constB70) <=> v178(constB69))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32233, 32232])).
% 9.50/7.10 tff(32235,plain,
% 9.50/7.10 (v180(constB70) <=> v178(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32234, 6416, 70])).
% 9.50/7.10 tff(32236,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB69) <=> (v181(constB69) | v185(constB69)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32237,plain,
% 9.50/7.10 (v178(constB69) <=> (v181(constB69) | v185(constB69))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32236, 84])).
% 9.50/7.10 tff(32238,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69))))))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32239,plain,
% 9.50/7.10 ((v181(constB69) <=> (~((~v182(constB69)) | (~v157(constB69))))) <=> (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69)))))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32240,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v182(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69))))))),
% 9.50/7.10 inference(monotonicity,[status(thm)],[32239])).
% 9.50/7.10 tff(32241,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v182(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69))))))),
% 9.50/7.10 inference(transitivity,[status(thm)],[32240, 32238])).
% 9.50/7.10 tff(32242,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v182(constB69)) | (~v157(constB69)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32243,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69)))))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32242, 32241])).
% 9.50/7.10 tff(32244,plain,
% 9.50/7.10 (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32243, 161])).
% 9.50/7.10 tff(32245,plain,
% 9.50/7.10 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB69)) <=> v183(constB69))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32246,plain,
% 9.50/7.10 ((~v182(constB69)) <=> v183(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32245, 193])).
% 9.50/7.10 tff(32247,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB69) <=> (v184(constB69) | v26(constB69)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32248,plain,
% 9.50/7.10 (v183(constB69) <=> (v184(constB69) | v26(constB69))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32247, 202])).
% 9.50/7.10 tff(32249,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32250,plain,
% 9.50/7.10 (v184(constB69) <=> (~((~v39(constB69)) | (~v9(constB69))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32249, 120])).
% 9.50/7.10 tff(32251,plain,
% 9.50/7.10 (((~![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)))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32252,plain,
% 9.50/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32253,plain,
% 9.50/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32252, 32251])).
% 9.50/7.10 tff(32254,plain,
% 9.50/7.10 (v13(constB70) <=> v9(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32253, 6416, 216])).
% 9.50/7.10 tff(32255,plain,
% 9.50/7.10 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB70) <=> v13(constB70))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32256,plain,
% 9.50/7.10 (v6(constB70) <=> v13(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32255, 230])).
% 9.50/7.10 tff(32257,plain,
% 9.50/7.10 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB70)) <=> v6(constB70))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32258,plain,
% 9.50/7.10 ((~v21(constB70)) <=> v6(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32257, 239])).
% 9.50/7.10 tff(32259,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB70) <=> (v20(constB70) | v21(constB70)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32260,plain,
% 9.50/7.10 (v19(constB70) <=> (v20(constB70) | v21(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32259, 248])).
% 9.50/7.10 tff(32261,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32262,plain,
% 9.50/7.10 (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32261, 260])).
% 9.50/7.10 tff(32263,plain,
% 9.50/7.10 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB70)) <=> v18(constB70))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32264,plain,
% 9.50/7.10 ((~v4(constB70)) <=> v18(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32263, 269])).
% 9.50/7.10 tff(32265,plain,
% 9.50/7.10 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB70)),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32266,plain,
% 9.50/7.10 (v4(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32265, 278])).
% 9.50/7.10 tff(32267,plain,
% 9.50/7.10 ((~((~v4(constB70)) <=> v18(constB70))) | (~v4(constB70)) | (~v18(constB70))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32268,plain,
% 9.50/7.10 (~v18(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32267, 32266, 32264])).
% 9.50/7.10 tff(32269,plain,
% 9.50/7.10 ((~(v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))) | v18(constB70) | ((~v19(constB70)) | (~v22(constB70)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32270,plain,
% 9.50/7.10 ((~v19(constB70)) | (~v22(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32269, 32268, 32262])).
% 9.50/7.10 tff(32271,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB70) <=> (v1(constB70) | v6(constB70)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32272,plain,
% 9.50/7.10 (v22(constB70) <=> (v1(constB70) | v6(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32271, 291])).
% 9.50/7.10 tff(32273,plain,
% 9.50/7.10 ((v1(constB70) | v6(constB70)) | (~v1(constB70))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32274,plain,
% 9.50/7.10 (v1(constB70) | v6(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32273, 6446])).
% 9.50/7.10 tff(32275,plain,
% 9.50/7.10 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70) | (~(v1(constB70) | v6(constB70)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32276,plain,
% 9.50/7.10 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32275, 32274])).
% 9.50/7.10 tff(32277,plain,
% 9.50/7.10 (v22(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32276, 32272])).
% 9.50/7.10 tff(32278,plain,
% 9.50/7.10 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70)) | (~v22(constB70))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32279,plain,
% 9.50/7.10 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32278, 32277])).
% 9.50/7.10 tff(32280,plain,
% 9.50/7.10 (~v19(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32279, 32270])).
% 9.50/7.10 tff(32281,plain,
% 9.50/7.10 ((~(v19(constB70) <=> (v20(constB70) | v21(constB70)))) | v19(constB70) | (~(v20(constB70) | v21(constB70)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32282,plain,
% 9.50/7.10 (~(v20(constB70) | v21(constB70))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32281, 32280, 32260])).
% 9.50/7.10 tff(32283,plain,
% 9.50/7.10 ((v20(constB70) | v21(constB70)) | (~v21(constB70))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32284,plain,
% 9.50/7.10 (~v21(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32283, 32282])).
% 9.50/7.10 tff(32285,plain,
% 9.50/7.10 ((~((~v21(constB70)) <=> v6(constB70))) | v21(constB70) | v6(constB70)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32286,plain,
% 9.50/7.10 (v6(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32285, 32284, 32258])).
% 9.50/7.10 tff(32287,plain,
% 9.50/7.10 ((~(v6(constB70) <=> v13(constB70))) | (~v6(constB70)) | v13(constB70)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32288,plain,
% 9.50/7.10 (v13(constB70)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32287, 32286, 32256])).
% 9.50/7.10 tff(32289,plain,
% 9.50/7.10 ((~(v13(constB70) <=> v9(constB69))) | (~v13(constB70)) | v9(constB69)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32290,plain,
% 9.50/7.10 (v9(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32289, 32288, 32254])).
% 9.50/7.10 tff(32291,plain,
% 9.50/7.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB69)) <=> v1(constB69))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32292,plain,
% 9.50/7.10 ((~v39(constB69)) <=> v1(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32291, 129])).
% 9.50/7.10 tff(32293,plain,
% 9.50/7.10 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69) | v1(constB69)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32294,plain,
% 9.50/7.10 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32293, 6438])).
% 9.50/7.10 tff(32295,plain,
% 9.50/7.10 (v39(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32294, 32292])).
% 9.50/7.10 tff(32296,plain,
% 9.50/7.10 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v39(constB69)) | (~v9(constB69))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32297,plain,
% 9.50/7.10 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v9(constB69))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32296, 32295])).
% 9.50/7.10 tff(32298,plain,
% 9.50/7.10 (~((~v39(constB69)) | (~v9(constB69)))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32297, 32290])).
% 9.50/7.10 tff(32299,plain,
% 9.50/7.10 ((~(v184(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))) | v184(constB69) | ((~v39(constB69)) | (~v9(constB69)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32300,plain,
% 9.50/7.10 (v184(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32299, 32298, 32250])).
% 9.50/7.10 tff(32301,plain,
% 9.50/7.10 ((v184(constB69) | v26(constB69)) | (~v184(constB69))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32302,plain,
% 9.50/7.10 (v184(constB69) | v26(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32301, 32300])).
% 9.50/7.10 tff(32303,plain,
% 9.50/7.10 ((~(v183(constB69) <=> (v184(constB69) | v26(constB69)))) | v183(constB69) | (~(v184(constB69) | v26(constB69)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32304,plain,
% 9.50/7.10 (v183(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32303, 32302, 32248])).
% 9.50/7.10 tff(32305,plain,
% 9.50/7.10 ((~((~v182(constB69)) <=> v183(constB69))) | (~v182(constB69)) | (~v183(constB69))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32306,plain,
% 9.50/7.10 (~v182(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32305, 32304, 32246])).
% 9.50/7.10 tff(32307,plain,
% 9.50/7.10 (((~v157(constB69)) | (~v182(constB69))) | v182(constB69)),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32308,plain,
% 9.50/7.10 ((~v157(constB69)) | (~v182(constB69))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32307, 32306])).
% 9.50/7.10 tff(32309,plain,
% 9.50/7.10 ((~(v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69)))))) | (~v181(constB69)) | (~((~v157(constB69)) | (~v182(constB69))))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32310,plain,
% 9.50/7.10 (~v181(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32309, 32308, 32244])).
% 9.50/7.10 tff(32311,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB69) <=> (~((~v186(constB69)) | (~v187(constB69)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32312,plain,
% 9.50/7.10 (v185(constB69) <=> (~((~v186(constB69)) | (~v187(constB69))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32311, 96])).
% 9.50/7.10 tff(32313,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB69) <=> (~((~v184(constB69)) | (~v159(constB69)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32314,plain,
% 9.50/7.10 (v187(constB69) <=> (~((~v184(constB69)) | (~v159(constB69))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32313, 108])).
% 9.50/7.10 tff(32315,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB69) <=> v161(constB69))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32316,plain,
% 9.50/7.10 (v159(constB69) <=> v161(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32315, 345])).
% 9.50/7.10 tff(32317,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32318,plain,
% 9.50/7.10 (v139(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2)))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32317, 360])).
% 9.50/7.10 tff(32319,plain,
% 9.50/7.10 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB69, bitIndex2) <=> v90(constB69, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB69, bitIndex2) <=> v90(constB69, bitIndex2)))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32320,plain,
% 9.50/7.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB69, bitIndex2) <=> v90(constB69, bitIndex2)))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32321,plain,
% 9.50/7.10 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB69, bitIndex2) <=> v90(constB69, bitIndex2))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 9.50/7.10 tff(32322,plain,
% 9.50/7.10 (v88(constB69, bitIndex2) <=> v90(constB69, bitIndex2)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32321, 648, 372])).
% 9.50/7.10 tff(32323,plain,
% 9.50/7.10 ((~(v88(constB69, bitIndex2) <=> v90(constB69, bitIndex2))) | v88(constB69, bitIndex2) | (~v90(constB69, bitIndex2))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32324,plain,
% 9.50/7.10 (v88(constB69, bitIndex2)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32323, 15352, 32322])).
% 9.50/7.10 tff(32325,plain,
% 9.50/7.10 ((v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2)) | (~v88(constB69, bitIndex2))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32326,plain,
% 9.50/7.10 (v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32325, 32324])).
% 9.50/7.10 tff(32327,plain,
% 9.50/7.10 ((~(v139(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2))))) | (~v139(constB69)) | (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2)))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32328,plain,
% 9.50/7.10 (~v139(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32327, 32326, 32318])).
% 9.50/7.10 tff(32329,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0))))))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32330,plain,
% 9.50/7.10 ((v140(constB69) <=> (~(v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0))))) <=> (v140(constB69) <=> (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0)))))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32331,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0))))))),
% 9.50/7.10 inference(monotonicity,[status(thm)],[32330])).
% 9.50/7.10 tff(32332,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0))))))),
% 9.50/7.10 inference(transitivity,[status(thm)],[32331, 32329])).
% 9.50/7.10 tff(32333,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0)))))),
% 9.50/7.10 inference(quant_inst,[status(thm)],[])).
% 9.50/7.10 tff(32334,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0)))))),
% 9.50/7.10 inference(modus_ponens,[status(thm)],[32333, 32332])).
% 9.50/7.10 tff(32335,plain,
% 9.50/7.10 (v140(constB69) <=> (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0))))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32334, 25795])).
% 9.50/7.10 tff(32336,plain,
% 9.50/7.10 ((v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0))) | (~v88(constB69, bitIndex2))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32337,plain,
% 9.50/7.10 (v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0))),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32336, 32324])).
% 9.50/7.10 tff(32338,plain,
% 9.50/7.10 ((~(v140(constB69) <=> (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0)))))) | (~v140(constB69)) | (~(v88(constB69, bitIndex2) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex0))))),
% 9.50/7.10 inference(tautology,[status(thm)],[])).
% 9.50/7.10 tff(32339,plain,
% 9.50/7.10 (~v140(constB69)),
% 9.50/7.10 inference(unit_resolution,[status(thm)],[32338, 32337, 32335])).
% 9.50/7.10 tff(32340,plain,
% 9.50/7.10 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB69) | v139(constB69) | (~v168(constB69)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB69) | v139(constB69) | (~v168(constB69)))),
% 9.50/7.10 inference(rewrite,[status(thm)],[])).
% 9.50/7.10 tff(32341,plain,
% 9.50/7.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB69) | v139(constB69) | (~v168(constB69)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32342,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB69) | v139(constB69) | (~v168(constB69))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32341, 32340])).
% 9.50/7.11 tff(32343,plain,
% 9.50/7.11 (v140(constB69) | v139(constB69) | (~v168(constB69))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32342, 25819])).
% 9.50/7.11 tff(32344,plain,
% 9.50/7.11 (~v168(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32343, 32339, 32328])).
% 9.50/7.11 tff(32345,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB69) <=> (v145(constB69) | v165(constB69)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32346,plain,
% 9.50/7.11 (v164(constB69) <=> (v145(constB69) | v165(constB69))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32345, 25834])).
% 9.50/7.11 tff(32347,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB69) <=> (v146(constB69) | v147(constB69)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32348,plain,
% 9.50/7.11 (v145(constB69) <=> (v146(constB69) | v147(constB69))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32347, 27691])).
% 9.50/7.11 tff(32349,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0)))))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32350,plain,
% 9.50/7.11 ((v146(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2))))) <=> (v146(constB69) <=> (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32351,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0)))))),
% 9.50/7.11 inference(monotonicity,[status(thm)],[32350])).
% 9.50/7.11 tff(32352,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0)))))),
% 9.50/7.11 inference(transitivity,[status(thm)],[32351, 32349])).
% 9.50/7.11 tff(32353,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32354,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32353, 32352])).
% 9.50/7.11 tff(32355,plain,
% 9.50/7.11 (v146(constB69) <=> (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0)))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32354, 27706])).
% 9.50/7.11 tff(32356,plain,
% 9.50/7.11 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB69, bitIndex0) <=> v90(constB69, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB69, bitIndex0) <=> v90(constB69, bitIndex0)))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32357,plain,
% 9.50/7.11 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB69, bitIndex0) <=> v90(constB69, bitIndex0)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32358,plain,
% 9.50/7.11 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB69, bitIndex0) <=> v90(constB69, bitIndex0))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 9.50/7.11 tff(32359,plain,
% 9.50/7.11 (v88(constB69, bitIndex0) <=> v90(constB69, bitIndex0)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32358, 9653, 372])).
% 9.50/7.11 tff(32360,plain,
% 9.50/7.11 ((~(v88(constB69, bitIndex0) <=> v90(constB69, bitIndex0))) | (~v88(constB69, bitIndex0)) | v90(constB69, bitIndex0)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32361,plain,
% 9.50/7.11 (~v88(constB69, bitIndex0)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32360, 15383, 32359])).
% 9.50/7.11 tff(32362,plain,
% 9.50/7.11 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB69, bitIndex1) <=> v90(constB69, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB69, bitIndex1) <=> v90(constB69, bitIndex1)))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32363,plain,
% 9.50/7.11 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB69, bitIndex1) <=> v90(constB69, bitIndex1)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32364,plain,
% 9.50/7.11 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB69, bitIndex1) <=> v90(constB69, bitIndex1))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32363, 32362])).
% 9.50/7.11 tff(32365,plain,
% 9.50/7.11 (v88(constB69, bitIndex1) <=> v90(constB69, bitIndex1)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32364, 375, 372])).
% 9.50/7.11 tff(32366,plain,
% 9.50/7.11 ((~(v88(constB69, bitIndex1) <=> v90(constB69, bitIndex1))) | (~v88(constB69, bitIndex1)) | v90(constB69, bitIndex1)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32367,plain,
% 9.50/7.11 (~v88(constB69, bitIndex1)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32366, 15414, 32365])).
% 9.50/7.11 tff(32368,plain,
% 9.50/7.11 ((~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32369,plain,
% 9.50/7.11 (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32368, 32367, 32361, 32324])).
% 9.50/7.11 tff(32370,plain,
% 9.50/7.11 ((~(v146(constB69) <=> (~((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))))) | v146(constB69) | ((~v88(constB69, bitIndex2)) | v88(constB69, bitIndex1) | v88(constB69, bitIndex0))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32371,plain,
% 9.50/7.11 (v146(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32370, 32369, 32355])).
% 9.50/7.11 tff(32372,plain,
% 9.50/7.11 ((v146(constB69) | v147(constB69)) | (~v146(constB69))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32373,plain,
% 9.50/7.11 (v146(constB69) | v147(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32372, 32371])).
% 9.50/7.11 tff(32374,plain,
% 9.50/7.11 ((~(v145(constB69) <=> (v146(constB69) | v147(constB69)))) | v145(constB69) | (~(v146(constB69) | v147(constB69)))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32375,plain,
% 9.50/7.11 (v145(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32374, 32373, 32348])).
% 9.50/7.11 tff(32376,plain,
% 9.50/7.11 ((v145(constB69) | v165(constB69)) | (~v145(constB69))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32377,plain,
% 9.50/7.11 (v145(constB69) | v165(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32376, 32375])).
% 9.50/7.11 tff(32378,plain,
% 9.50/7.11 ((~(v164(constB69) <=> (v145(constB69) | v165(constB69)))) | v164(constB69) | (~(v145(constB69) | v165(constB69)))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32379,plain,
% 9.50/7.11 (v164(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32378, 32377, 32346])).
% 9.50/7.11 tff(32380,plain,
% 9.50/7.11 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB69)) | (v161(constB69) <=> v168(constB69)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB69)) | (v161(constB69) <=> v168(constB69)))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32381,plain,
% 9.50/7.11 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB69)) | (v161(constB69) <=> v168(constB69)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32382,plain,
% 9.50/7.11 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB69)) | (v161(constB69) <=> v168(constB69))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32381, 32380])).
% 9.50/7.11 tff(32383,plain,
% 9.50/7.11 ((~v164(constB69)) | (v161(constB69) <=> v168(constB69))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32382, 25977])).
% 9.50/7.11 tff(32384,plain,
% 9.50/7.11 (v161(constB69) <=> v168(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32383, 32379])).
% 9.50/7.11 tff(32385,plain,
% 9.50/7.11 ((~(v161(constB69) <=> v168(constB69))) | (~v161(constB69)) | v168(constB69)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32386,plain,
% 9.50/7.11 (~v161(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32385, 32384, 32344])).
% 9.50/7.11 tff(32387,plain,
% 9.50/7.11 ((~(v159(constB69) <=> v161(constB69))) | (~v159(constB69)) | v161(constB69)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32388,plain,
% 9.50/7.11 ((~(v159(constB69) <=> v161(constB69))) | (~v159(constB69))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32387, 32386])).
% 9.50/7.11 tff(32389,plain,
% 9.50/7.11 (~v159(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32388, 32316])).
% 9.50/7.11 tff(32390,plain,
% 9.50/7.11 (((~v184(constB69)) | (~v159(constB69))) | v159(constB69)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32391,plain,
% 9.50/7.11 ((~v184(constB69)) | (~v159(constB69))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32390, 32389])).
% 9.50/7.11 tff(32392,plain,
% 9.50/7.11 ((~(v187(constB69) <=> (~((~v184(constB69)) | (~v159(constB69)))))) | (~v187(constB69)) | (~((~v184(constB69)) | (~v159(constB69))))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32393,plain,
% 9.50/7.11 (~v187(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32392, 32391, 32314])).
% 9.50/7.11 tff(32394,plain,
% 9.50/7.11 (((~v186(constB69)) | (~v187(constB69))) | v187(constB69)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32395,plain,
% 9.50/7.11 ((~v186(constB69)) | (~v187(constB69))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32394, 32393])).
% 9.50/7.11 tff(32396,plain,
% 9.50/7.11 ((~(v185(constB69) <=> (~((~v186(constB69)) | (~v187(constB69)))))) | (~v185(constB69)) | (~((~v186(constB69)) | (~v187(constB69))))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32397,plain,
% 9.50/7.11 (~v185(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32396, 32395, 32312])).
% 9.50/7.11 tff(32398,plain,
% 9.50/7.11 ((~(v181(constB69) | v185(constB69))) | v181(constB69) | v185(constB69)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32399,plain,
% 9.50/7.11 (~(v181(constB69) | v185(constB69))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32398, 32397, 32310])).
% 9.50/7.11 tff(32400,plain,
% 9.50/7.11 ((~(v178(constB69) <=> (v181(constB69) | v185(constB69)))) | (~v178(constB69)) | (v181(constB69) | v185(constB69))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32401,plain,
% 9.50/7.11 (~v178(constB69)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32400, 32399, 32237])).
% 9.50/7.11 tff(32402,plain,
% 9.50/7.11 ((~(v180(constB70) <=> v178(constB69))) | (~v180(constB70)) | v178(constB69)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32403,plain,
% 9.50/7.11 (~v180(constB70)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32402, 32401, 32235])).
% 9.50/7.11 tff(32404,plain,
% 9.50/7.11 ((~(v157(constB70) <=> v180(constB70))) | (~v157(constB70)) | v180(constB70)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32405,plain,
% 9.50/7.11 (~v157(constB70)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32404, 32403, 32231])).
% 9.50/7.11 tff(32406,plain,
% 9.50/7.11 (((~v157(constB70)) | (~v182(constB70))) | v157(constB70)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32407,plain,
% 9.50/7.11 ((~v157(constB70)) | (~v182(constB70))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32406, 32405])).
% 9.50/7.11 tff(32408,plain,
% 9.50/7.11 ((~(v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70)))))) | (~v181(constB70)) | (~((~v157(constB70)) | (~v182(constB70))))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32409,plain,
% 9.50/7.11 (~v181(constB70)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32408, 32407, 32229])).
% 9.50/7.11 tff(32410,plain,
% 9.50/7.11 ((~(v181(constB70) | v185(constB70))) | v181(constB70) | v185(constB70)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32411,plain,
% 9.50/7.11 (~(v181(constB70) | v185(constB70))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32410, 32409, 32222])).
% 9.50/7.11 tff(32412,plain,
% 9.50/7.11 ((~(v178(constB70) <=> (v181(constB70) | v185(constB70)))) | (~v178(constB70)) | (v181(constB70) | v185(constB70))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32413,plain,
% 9.50/7.11 (~v178(constB70)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32412, 32411, 32197])).
% 9.50/7.11 tff(32414,plain,
% 9.50/7.11 ((~(v180(constB71) <=> v178(constB70))) | (~v180(constB71)) | v178(constB70)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32415,plain,
% 9.50/7.11 (~v180(constB71)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32414, 32413, 32195])).
% 9.50/7.11 tff(32416,plain,
% 9.50/7.11 ($false),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32415, 32191])).
% 9.50/7.11 tff(32417,plain,(~(constB71 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.50/7.11 tff(32418,assumption,(constB15 = VarCurr!0), introduced(assumption)).
% 9.50/7.11 tff(32419,plain,
% 9.50/7.11 (v180(constB15) <=> v180(VarCurr!0)),
% 9.50/7.11 inference(monotonicity,[status(thm)],[32418])).
% 9.50/7.11 tff(32420,plain,
% 9.50/7.11 (v180(VarCurr!0) <=> v180(constB15)),
% 9.50/7.11 inference(symmetry,[status(thm)],[32419])).
% 9.50/7.11 tff(32421,plain,
% 9.50/7.11 (v180(constB15)),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[59, 32420])).
% 9.50/7.11 tff(32422,plain,
% 9.50/7.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14)))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32423,plain,
% 9.50/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32424,plain,
% 9.50/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32423, 32422])).
% 9.50/7.11 tff(32425,plain,
% 9.50/7.11 (v180(constB15) <=> v178(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32424, 8968, 70])).
% 9.50/7.11 tff(32426,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB14) <=> (v181(constB14) | v185(constB14)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32427,plain,
% 9.50/7.11 (v178(constB14) <=> (v181(constB14) | v185(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32426, 84])).
% 9.50/7.11 tff(32428,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32429,plain,
% 9.50/7.11 (v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32428, 96])).
% 9.50/7.11 tff(32430,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB14) <=> (~((~v184(constB14)) | (~v159(constB14)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32431,plain,
% 9.50/7.11 (v187(constB14) <=> (~((~v184(constB14)) | (~v159(constB14))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32430, 108])).
% 9.50/7.11 tff(32432,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32433,plain,
% 9.50/7.11 (v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32432, 120])).
% 9.50/7.11 tff(32434,plain,
% 9.50/7.11 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB14)) <=> v1(constB14))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32435,plain,
% 9.50/7.11 ((~v39(constB14)) <=> v1(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32434, 129])).
% 9.50/7.11 tff(32436,plain,
% 9.50/7.11 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14)) | (~v1(constB14))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32437,plain,
% 9.50/7.11 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32436, 9030])).
% 9.50/7.11 tff(32438,plain,
% 9.50/7.11 (~v39(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32437, 32435])).
% 9.50/7.11 tff(32439,plain,
% 9.50/7.11 (((~v39(constB14)) | (~v9(constB14))) | v39(constB14)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32440,plain,
% 9.50/7.11 ((~v39(constB14)) | (~v9(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32439, 32438])).
% 9.50/7.11 tff(32441,plain,
% 9.50/7.11 ((~(v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v184(constB14)) | (~((~v39(constB14)) | (~v9(constB14))))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32442,plain,
% 9.50/7.11 ((~(v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v184(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32441, 32440])).
% 9.50/7.11 tff(32443,plain,
% 9.50/7.11 (~v184(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32442, 32433])).
% 9.50/7.11 tff(32444,plain,
% 9.50/7.11 (((~v184(constB14)) | (~v159(constB14))) | v184(constB14)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32445,plain,
% 9.50/7.11 ((~v184(constB14)) | (~v159(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32444, 32443])).
% 9.50/7.11 tff(32446,plain,
% 9.50/7.11 ((~(v187(constB14) <=> (~((~v184(constB14)) | (~v159(constB14)))))) | (~v187(constB14)) | (~((~v184(constB14)) | (~v159(constB14))))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32447,plain,
% 9.50/7.11 ((~(v187(constB14) <=> (~((~v184(constB14)) | (~v159(constB14)))))) | (~v187(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32446, 32445])).
% 9.50/7.11 tff(32448,plain,
% 9.50/7.11 (~v187(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32447, 32431])).
% 9.50/7.11 tff(32449,plain,
% 9.50/7.11 (((~v186(constB14)) | (~v187(constB14))) | v187(constB14)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32450,plain,
% 9.50/7.11 ((~v186(constB14)) | (~v187(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32449, 32448])).
% 9.50/7.11 tff(32451,plain,
% 9.50/7.11 ((~(v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14)))))) | (~v185(constB14)) | (~((~v186(constB14)) | (~v187(constB14))))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32452,plain,
% 9.50/7.11 (~v185(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32451, 32450, 32429])).
% 9.50/7.11 tff(32453,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14))))))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32454,plain,
% 9.50/7.11 ((v181(constB14) <=> (~((~v182(constB14)) | (~v157(constB14))))) <=> (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14)))))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32455,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v157(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14))))))),
% 9.50/7.11 inference(monotonicity,[status(thm)],[32454])).
% 9.50/7.11 tff(32456,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v157(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14))))))),
% 9.50/7.11 inference(transitivity,[status(thm)],[32455, 32453])).
% 9.50/7.11 tff(32457,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v157(constB14)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32458,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14)))))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32457, 32456])).
% 9.50/7.11 tff(32459,plain,
% 9.50/7.11 (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32458, 161])).
% 9.50/7.11 tff(32460,plain,
% 9.50/7.11 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB14) <=> v180(constB14))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32461,plain,
% 9.50/7.11 (v157(constB14) <=> v180(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32460, 13])).
% 9.50/7.11 tff(32462,plain,
% 9.50/7.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13)))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32463,plain,
% 9.50/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32464,plain,
% 9.50/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32463, 32462])).
% 9.50/7.11 tff(32465,plain,
% 9.50/7.11 (v180(constB14) <=> v178(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32464, 9000, 70])).
% 9.50/7.11 tff(32466,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB13) <=> (v181(constB13) | v185(constB13)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32467,plain,
% 9.50/7.11 (v178(constB13) <=> (v181(constB13) | v185(constB13))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32466, 84])).
% 9.50/7.11 tff(32468,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13))))))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32469,plain,
% 9.50/7.11 ((v181(constB13) <=> (~((~v182(constB13)) | (~v157(constB13))))) <=> (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13)))))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32470,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v157(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13))))))),
% 9.50/7.11 inference(monotonicity,[status(thm)],[32469])).
% 9.50/7.11 tff(32471,plain,
% 9.50/7.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v157(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13))))))),
% 9.50/7.11 inference(transitivity,[status(thm)],[32470, 32468])).
% 9.50/7.11 tff(32472,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v157(constB13)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32473,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13)))))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32472, 32471])).
% 9.50/7.11 tff(32474,plain,
% 9.50/7.11 (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32473, 161])).
% 9.50/7.11 tff(32475,plain,
% 9.50/7.11 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB13)) <=> v183(constB13))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32476,plain,
% 9.50/7.11 ((~v182(constB13)) <=> v183(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32475, 193])).
% 9.50/7.11 tff(32477,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB13) <=> (v184(constB13) | v26(constB13)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32478,plain,
% 9.50/7.11 (v183(constB13) <=> (v184(constB13) | v26(constB13))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32477, 202])).
% 9.50/7.11 tff(32479,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32480,plain,
% 9.50/7.11 (v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32479, 120])).
% 9.50/7.11 tff(32481,plain,
% 9.50/7.11 (((~![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)))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32482,plain,
% 9.50/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32483,plain,
% 9.50/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13))),
% 9.50/7.11 inference(modus_ponens,[status(thm)],[32482, 32481])).
% 9.50/7.11 tff(32484,plain,
% 9.50/7.11 (v13(constB14) <=> v9(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32483, 9000, 216])).
% 9.50/7.11 tff(32485,plain,
% 9.50/7.11 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB14) <=> v13(constB14))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32486,plain,
% 9.50/7.11 (v6(constB14) <=> v13(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32485, 230])).
% 9.50/7.11 tff(32487,plain,
% 9.50/7.11 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB14)) <=> v6(constB14))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32488,plain,
% 9.50/7.11 ((~v21(constB14)) <=> v6(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32487, 239])).
% 9.50/7.11 tff(32489,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB14) <=> (v20(constB14) | v21(constB14)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32490,plain,
% 9.50/7.11 (v19(constB14) <=> (v20(constB14) | v21(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32489, 248])).
% 9.50/7.11 tff(32491,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32492,plain,
% 9.50/7.11 (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32491, 260])).
% 9.50/7.11 tff(32493,plain,
% 9.50/7.11 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB14)) <=> v18(constB14))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32494,plain,
% 9.50/7.11 ((~v4(constB14)) <=> v18(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32493, 269])).
% 9.50/7.11 tff(32495,plain,
% 9.50/7.11 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB14)),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32496,plain,
% 9.50/7.11 (v4(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32495, 278])).
% 9.50/7.11 tff(32497,plain,
% 9.50/7.11 ((~((~v4(constB14)) <=> v18(constB14))) | (~v4(constB14)) | (~v18(constB14))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32498,plain,
% 9.50/7.11 (~v18(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32497, 32496, 32494])).
% 9.50/7.11 tff(32499,plain,
% 9.50/7.11 ((~(v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))) | v18(constB14) | ((~v19(constB14)) | (~v22(constB14)))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32500,plain,
% 9.50/7.11 ((~v19(constB14)) | (~v22(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32499, 32498, 32492])).
% 9.50/7.11 tff(32501,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB14) <=> (v1(constB14) | v6(constB14)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32502,plain,
% 9.50/7.11 (v22(constB14) <=> (v1(constB14) | v6(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32501, 291])).
% 9.50/7.11 tff(32503,plain,
% 9.50/7.11 ((v1(constB14) | v6(constB14)) | (~v1(constB14))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32504,plain,
% 9.50/7.11 (v1(constB14) | v6(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32503, 9030])).
% 9.50/7.11 tff(32505,plain,
% 9.50/7.11 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14) | (~(v1(constB14) | v6(constB14)))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32506,plain,
% 9.50/7.11 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32505, 32504])).
% 9.50/7.11 tff(32507,plain,
% 9.50/7.11 (v22(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32506, 32502])).
% 9.50/7.11 tff(32508,plain,
% 9.50/7.11 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14)) | (~v22(constB14))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32509,plain,
% 9.50/7.11 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32508, 32507])).
% 9.50/7.11 tff(32510,plain,
% 9.50/7.11 (~v19(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32509, 32500])).
% 9.50/7.11 tff(32511,plain,
% 9.50/7.11 ((~(v19(constB14) <=> (v20(constB14) | v21(constB14)))) | v19(constB14) | (~(v20(constB14) | v21(constB14)))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32512,plain,
% 9.50/7.11 (~(v20(constB14) | v21(constB14))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32511, 32510, 32490])).
% 9.50/7.11 tff(32513,plain,
% 9.50/7.11 ((v20(constB14) | v21(constB14)) | (~v21(constB14))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32514,plain,
% 9.50/7.11 (~v21(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32513, 32512])).
% 9.50/7.11 tff(32515,plain,
% 9.50/7.11 ((~((~v21(constB14)) <=> v6(constB14))) | v21(constB14) | v6(constB14)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32516,plain,
% 9.50/7.11 (v6(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32515, 32514, 32488])).
% 9.50/7.11 tff(32517,plain,
% 9.50/7.11 ((~(v6(constB14) <=> v13(constB14))) | (~v6(constB14)) | v13(constB14)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32518,plain,
% 9.50/7.11 (v13(constB14)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32517, 32516, 32486])).
% 9.50/7.11 tff(32519,plain,
% 9.50/7.11 ((~(v13(constB14) <=> v9(constB13))) | (~v13(constB14)) | v9(constB13)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32520,plain,
% 9.50/7.11 (v9(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32519, 32518, 32484])).
% 9.50/7.11 tff(32521,plain,
% 9.50/7.11 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB13)) <=> v1(constB13))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32522,plain,
% 9.50/7.11 ((~v39(constB13)) <=> v1(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32521, 129])).
% 9.50/7.11 tff(32523,plain,
% 9.50/7.11 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13) | v1(constB13)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32524,plain,
% 9.50/7.11 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32523, 9022])).
% 9.50/7.11 tff(32525,plain,
% 9.50/7.11 (v39(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32524, 32522])).
% 9.50/7.11 tff(32526,plain,
% 9.50/7.11 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v39(constB13)) | (~v9(constB13))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32527,plain,
% 9.50/7.11 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v9(constB13))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32526, 32525])).
% 9.50/7.11 tff(32528,plain,
% 9.50/7.11 (~((~v39(constB13)) | (~v9(constB13)))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32527, 32520])).
% 9.50/7.11 tff(32529,plain,
% 9.50/7.11 ((~(v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))) | v184(constB13) | ((~v39(constB13)) | (~v9(constB13)))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32530,plain,
% 9.50/7.11 (v184(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32529, 32528, 32480])).
% 9.50/7.11 tff(32531,plain,
% 9.50/7.11 ((v184(constB13) | v26(constB13)) | (~v184(constB13))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32532,plain,
% 9.50/7.11 (v184(constB13) | v26(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32531, 32530])).
% 9.50/7.11 tff(32533,plain,
% 9.50/7.11 ((~(v183(constB13) <=> (v184(constB13) | v26(constB13)))) | v183(constB13) | (~(v184(constB13) | v26(constB13)))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32534,plain,
% 9.50/7.11 (v183(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32533, 32532, 32478])).
% 9.50/7.11 tff(32535,plain,
% 9.50/7.11 ((~((~v182(constB13)) <=> v183(constB13))) | (~v182(constB13)) | (~v183(constB13))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32536,plain,
% 9.50/7.11 (~v182(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32535, 32534, 32476])).
% 9.50/7.11 tff(32537,plain,
% 9.50/7.11 (((~v157(constB13)) | (~v182(constB13))) | v182(constB13)),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32538,plain,
% 9.50/7.11 ((~v157(constB13)) | (~v182(constB13))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32537, 32536])).
% 9.50/7.11 tff(32539,plain,
% 9.50/7.11 ((~(v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13)))))) | (~v181(constB13)) | (~((~v157(constB13)) | (~v182(constB13))))),
% 9.50/7.11 inference(tautology,[status(thm)],[])).
% 9.50/7.11 tff(32540,plain,
% 9.50/7.11 (~v181(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32539, 32538, 32474])).
% 9.50/7.11 tff(32541,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32542,plain,
% 9.50/7.11 (v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32541, 96])).
% 9.50/7.11 tff(32543,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB13) <=> (~((~v184(constB13)) | (~v159(constB13)))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32544,plain,
% 9.50/7.11 (v187(constB13) <=> (~((~v184(constB13)) | (~v159(constB13))))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32543, 108])).
% 9.50/7.11 tff(32545,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB13) <=> v161(constB13))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32546,plain,
% 9.50/7.11 (v159(constB13) <=> v161(constB13)),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32545, 345])).
% 9.50/7.11 tff(32547,plain,
% 9.50/7.11 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2))))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32548,plain,
% 9.50/7.11 (v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)))),
% 9.50/7.11 inference(unit_resolution,[status(thm)],[32547, 360])).
% 9.50/7.11 tff(32549,plain,
% 9.50/7.11 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2)))),
% 9.50/7.11 inference(rewrite,[status(thm)],[])).
% 9.50/7.11 tff(32550,plain,
% 9.50/7.11 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2)))),
% 9.50/7.11 inference(quant_inst,[status(thm)],[])).
% 9.50/7.11 tff(32551,plain,
% 9.50/7.11 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32550, 32549])).
% 9.50/7.12 tff(32552,plain,
% 9.50/7.12 (v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32551, 648, 372])).
% 9.50/7.12 tff(32553,plain,
% 9.50/7.12 ((~(v88(constB13, bitIndex2) <=> v90(constB13, bitIndex2))) | v88(constB13, bitIndex2) | (~v90(constB13, bitIndex2))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32554,plain,
% 9.50/7.12 (v88(constB13, bitIndex2)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32553, 10746, 32552])).
% 9.50/7.12 tff(32555,plain,
% 9.50/7.12 ((v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex2))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32556,plain,
% 9.50/7.12 (v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32555, 32554])).
% 9.50/7.12 tff(32557,plain,
% 9.50/7.12 ((~(v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2))))) | (~v139(constB13)) | (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32558,plain,
% 9.50/7.12 (~v139(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32557, 32556, 32548])).
% 9.50/7.12 tff(32559,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))))))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32560,plain,
% 9.50/7.12 ((v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0))))) <=> (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0)))))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32561,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))))))),
% 9.50/7.12 inference(monotonicity,[status(thm)],[32560])).
% 9.50/7.12 tff(32562,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))))))),
% 9.50/7.12 inference(transitivity,[status(thm)],[32561, 32559])).
% 9.50/7.12 tff(32563,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32564,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0)))))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32563, 32562])).
% 9.50/7.12 tff(32565,plain,
% 9.50/7.12 (v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32564, 25795])).
% 9.50/7.12 tff(32566,plain,
% 9.50/7.12 ((v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))) | (~v88(constB13, bitIndex2))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32567,plain,
% 9.50/7.12 (v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32566, 32554])).
% 9.50/7.12 tff(32568,plain,
% 9.50/7.12 ((~(v140(constB13) <=> (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0)))))) | (~v140(constB13)) | (~(v88(constB13, bitIndex2) | v88(constB13, bitIndex1) | (~v88(constB13, bitIndex0))))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32569,plain,
% 9.50/7.12 (~v140(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32568, 32567, 32565])).
% 9.50/7.12 tff(32570,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB13) | v140(constB13) | (~v168(constB13)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB13) | v140(constB13) | (~v168(constB13)))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32571,plain,
% 9.50/7.12 ((v140(constB13) | v139(constB13) | (~v168(constB13))) <=> (v139(constB13) | v140(constB13) | (~v168(constB13)))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32572,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v168(constB13)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB13) | v140(constB13) | (~v168(constB13))))),
% 9.50/7.12 inference(monotonicity,[status(thm)],[32571])).
% 9.50/7.12 tff(32573,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v168(constB13)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB13) | v140(constB13) | (~v168(constB13)))),
% 9.50/7.12 inference(transitivity,[status(thm)],[32572, 32570])).
% 9.50/7.12 tff(32574,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v168(constB13)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32575,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB13) | v140(constB13) | (~v168(constB13))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32574, 32573])).
% 9.50/7.12 tff(32576,plain,
% 9.50/7.12 (v139(constB13) | v140(constB13) | (~v168(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32575, 25819])).
% 9.50/7.12 tff(32577,plain,
% 9.50/7.12 (~v168(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32576, 32569, 32558])).
% 9.50/7.12 tff(32578,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB13) <=> (v145(constB13) | v165(constB13)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32579,plain,
% 9.50/7.12 (v164(constB13) <=> (v145(constB13) | v165(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32578, 25834])).
% 9.50/7.12 tff(32580,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB13) <=> (v142(constB13) | v166(constB13)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32581,plain,
% 9.50/7.12 (v165(constB13) <=> (v142(constB13) | v166(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32580, 25846])).
% 9.50/7.12 tff(32582,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB13) <=> (v143(constB13) | v144(constB13)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32583,plain,
% 9.50/7.12 (v142(constB13) <=> (v143(constB13) | v144(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32582, 25855])).
% 9.50/7.12 tff(32584,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0)))))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32585,plain,
% 9.50/7.12 ((v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2))))) <=> (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32586,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0)))))),
% 9.50/7.12 inference(monotonicity,[status(thm)],[32585])).
% 9.50/7.12 tff(32587,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0)))))),
% 9.50/7.12 inference(transitivity,[status(thm)],[32586, 32584])).
% 9.50/7.12 tff(32588,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32589,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32588, 32587])).
% 9.50/7.12 tff(32590,plain,
% 9.50/7.12 (v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0)))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32589, 26095])).
% 9.50/7.12 tff(32591,plain,
% 9.50/7.12 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0)))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32592,plain,
% 9.50/7.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32593,plain,
% 9.50/7.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32592, 32591])).
% 9.50/7.12 tff(32594,plain,
% 9.50/7.12 (v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32593, 9653, 372])).
% 9.50/7.12 tff(32595,plain,
% 9.50/7.12 ((~(v88(constB13, bitIndex0) <=> v90(constB13, bitIndex0))) | (~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32596,plain,
% 9.50/7.12 (~v88(constB13, bitIndex0)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32595, 10780, 32594])).
% 9.50/7.12 tff(32597,plain,
% 9.50/7.12 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1)))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32598,plain,
% 9.50/7.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32599,plain,
% 9.50/7.12 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32598, 32597])).
% 9.50/7.12 tff(32600,plain,
% 9.50/7.12 (v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32599, 375, 372])).
% 9.50/7.12 tff(32601,plain,
% 9.50/7.12 ((~(v88(constB13, bitIndex1) <=> v90(constB13, bitIndex1))) | v88(constB13, bitIndex1) | (~v90(constB13, bitIndex1))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32602,plain,
% 9.50/7.12 (v88(constB13, bitIndex1)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32601, 10814, 32600])).
% 9.50/7.12 tff(32603,plain,
% 9.50/7.12 ((~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))) | (~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32604,plain,
% 9.50/7.12 (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32603, 32602, 32596, 32554])).
% 9.50/7.12 tff(32605,plain,
% 9.50/7.12 ((~(v144(constB13) <=> (~((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))))) | v144(constB13) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32606,plain,
% 9.50/7.12 (v144(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32605, 32604, 32590])).
% 9.50/7.12 tff(32607,plain,
% 9.50/7.12 ((v143(constB13) | v144(constB13)) | (~v144(constB13))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32608,plain,
% 9.50/7.12 (v143(constB13) | v144(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32607, 32606])).
% 9.50/7.12 tff(32609,plain,
% 9.50/7.12 ((~(v142(constB13) <=> (v143(constB13) | v144(constB13)))) | v142(constB13) | (~(v143(constB13) | v144(constB13)))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32610,plain,
% 9.50/7.12 (v142(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32609, 32608, 32583])).
% 9.50/7.12 tff(32611,plain,
% 9.50/7.12 ((v142(constB13) | v166(constB13)) | (~v142(constB13))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32612,plain,
% 9.50/7.12 (v142(constB13) | v166(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32611, 32610])).
% 9.50/7.12 tff(32613,plain,
% 9.50/7.12 ((~(v165(constB13) <=> (v142(constB13) | v166(constB13)))) | v165(constB13) | (~(v142(constB13) | v166(constB13)))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32614,plain,
% 9.50/7.12 (v165(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32613, 32612, 32581])).
% 9.50/7.12 tff(32615,plain,
% 9.50/7.12 ((v145(constB13) | v165(constB13)) | (~v165(constB13))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32616,plain,
% 9.50/7.12 (v145(constB13) | v165(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32615, 32614])).
% 9.50/7.12 tff(32617,plain,
% 9.50/7.12 ((~(v164(constB13) <=> (v145(constB13) | v165(constB13)))) | v164(constB13) | (~(v145(constB13) | v165(constB13)))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32618,plain,
% 9.50/7.12 (v164(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32617, 32616, 32579])).
% 9.50/7.12 tff(32619,plain,
% 9.50/7.12 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB13)) | (v161(constB13) <=> v168(constB13)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB13)) | (v161(constB13) <=> v168(constB13)))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32620,plain,
% 9.50/7.12 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB13)) | (v161(constB13) <=> v168(constB13)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32621,plain,
% 9.50/7.12 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB13)) | (v161(constB13) <=> v168(constB13))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32620, 32619])).
% 9.50/7.12 tff(32622,plain,
% 9.50/7.12 ((~v164(constB13)) | (v161(constB13) <=> v168(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32621, 25977])).
% 9.50/7.12 tff(32623,plain,
% 9.50/7.12 (v161(constB13) <=> v168(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32622, 32618])).
% 9.50/7.12 tff(32624,plain,
% 9.50/7.12 ((~(v161(constB13) <=> v168(constB13))) | (~v161(constB13)) | v168(constB13)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32625,plain,
% 9.50/7.12 (~v161(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32624, 32623, 32577])).
% 9.50/7.12 tff(32626,plain,
% 9.50/7.12 ((~(v159(constB13) <=> v161(constB13))) | (~v159(constB13)) | v161(constB13)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32627,plain,
% 9.50/7.12 ((~(v159(constB13) <=> v161(constB13))) | (~v159(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32626, 32625])).
% 9.50/7.12 tff(32628,plain,
% 9.50/7.12 (~v159(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32627, 32546])).
% 9.50/7.12 tff(32629,plain,
% 9.50/7.12 (((~v184(constB13)) | (~v159(constB13))) | v159(constB13)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32630,plain,
% 9.50/7.12 ((~v184(constB13)) | (~v159(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32629, 32628])).
% 9.50/7.12 tff(32631,plain,
% 9.50/7.12 ((~(v187(constB13) <=> (~((~v184(constB13)) | (~v159(constB13)))))) | (~v187(constB13)) | (~((~v184(constB13)) | (~v159(constB13))))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32632,plain,
% 9.50/7.12 (~v187(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32631, 32630, 32544])).
% 9.50/7.12 tff(32633,plain,
% 9.50/7.12 (((~v186(constB13)) | (~v187(constB13))) | v187(constB13)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32634,plain,
% 9.50/7.12 ((~v186(constB13)) | (~v187(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32633, 32632])).
% 9.50/7.12 tff(32635,plain,
% 9.50/7.12 ((~(v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13)))))) | (~v185(constB13)) | (~((~v186(constB13)) | (~v187(constB13))))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32636,plain,
% 9.50/7.12 (~v185(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32635, 32634, 32542])).
% 9.50/7.12 tff(32637,plain,
% 9.50/7.12 ((~(v181(constB13) | v185(constB13))) | v181(constB13) | v185(constB13)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32638,plain,
% 9.50/7.12 (~(v181(constB13) | v185(constB13))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32637, 32636, 32540])).
% 9.50/7.12 tff(32639,plain,
% 9.50/7.12 ((~(v178(constB13) <=> (v181(constB13) | v185(constB13)))) | (~v178(constB13)) | (v181(constB13) | v185(constB13))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32640,plain,
% 9.50/7.12 (~v178(constB13)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32639, 32638, 32467])).
% 9.50/7.12 tff(32641,plain,
% 9.50/7.12 ((~(v180(constB14) <=> v178(constB13))) | (~v180(constB14)) | v178(constB13)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32642,plain,
% 9.50/7.12 (~v180(constB14)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32641, 32640, 32465])).
% 9.50/7.12 tff(32643,plain,
% 9.50/7.12 ((~(v157(constB14) <=> v180(constB14))) | (~v157(constB14)) | v180(constB14)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32644,plain,
% 9.50/7.12 (~v157(constB14)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32643, 32642, 32461])).
% 9.50/7.12 tff(32645,plain,
% 9.50/7.12 (((~v157(constB14)) | (~v182(constB14))) | v157(constB14)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32646,plain,
% 9.50/7.12 ((~v157(constB14)) | (~v182(constB14))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32645, 32644])).
% 9.50/7.12 tff(32647,plain,
% 9.50/7.12 ((~(v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14)))))) | (~v181(constB14)) | (~((~v157(constB14)) | (~v182(constB14))))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32648,plain,
% 9.50/7.12 (~v181(constB14)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32647, 32646, 32459])).
% 9.50/7.12 tff(32649,plain,
% 9.50/7.12 ((~(v181(constB14) | v185(constB14))) | v181(constB14) | v185(constB14)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32650,plain,
% 9.50/7.12 (~(v181(constB14) | v185(constB14))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32649, 32648, 32452])).
% 9.50/7.12 tff(32651,plain,
% 9.50/7.12 ((~(v178(constB14) <=> (v181(constB14) | v185(constB14)))) | (~v178(constB14)) | (v181(constB14) | v185(constB14))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32652,plain,
% 9.50/7.12 (~v178(constB14)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32651, 32650, 32427])).
% 9.50/7.12 tff(32653,plain,
% 9.50/7.12 ((~(v180(constB15) <=> v178(constB14))) | (~v180(constB15)) | v178(constB14)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32654,plain,
% 9.50/7.12 (~v180(constB15)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32653, 32652, 32425])).
% 9.50/7.12 tff(32655,plain,
% 9.50/7.12 ($false),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32654, 32421])).
% 9.50/7.12 tff(32656,plain,(~(constB15 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.50/7.12 tff(32657,assumption,(constB81 = VarCurr!0), introduced(assumption)).
% 9.50/7.12 tff(32658,plain,
% 9.50/7.12 (v180(constB81) <=> v180(VarCurr!0)),
% 9.50/7.12 inference(monotonicity,[status(thm)],[32657])).
% 9.50/7.12 tff(32659,plain,
% 9.50/7.12 (v180(VarCurr!0) <=> v180(constB81)),
% 9.50/7.12 inference(symmetry,[status(thm)],[32658])).
% 9.50/7.12 tff(32660,plain,
% 9.50/7.12 (v180(constB81)),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[59, 32659])).
% 9.50/7.12 tff(32661,plain,
% 9.50/7.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> v178(constB80)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB80, constB81)) | (v180(constB81) <=> v178(constB80)))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32662,plain,
% 9.50/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> v178(constB80)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32663,plain,
% 9.50/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB80, constB81)) | (v180(constB81) <=> v178(constB80))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32662, 32661])).
% 9.50/7.12 tff(32664,plain,
% 9.50/7.12 (v180(constB81) <=> v178(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32663, 5923, 70])).
% 9.50/7.12 tff(32665,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB80) <=> (v181(constB80) | v185(constB80)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32666,plain,
% 9.50/7.12 (v178(constB80) <=> (v181(constB80) | v185(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32665, 84])).
% 9.50/7.12 tff(32667,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB80) <=> (~((~v186(constB80)) | (~v187(constB80)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32668,plain,
% 9.50/7.12 (v185(constB80) <=> (~((~v186(constB80)) | (~v187(constB80))))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32667, 96])).
% 9.50/7.12 tff(32669,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB80) <=> (~((~v184(constB80)) | (~v159(constB80)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32670,plain,
% 9.50/7.12 (v187(constB80) <=> (~((~v184(constB80)) | (~v159(constB80))))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32669, 108])).
% 9.50/7.12 tff(32671,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32672,plain,
% 9.50/7.12 (v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80))))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32671, 120])).
% 9.50/7.12 tff(32673,plain,
% 9.50/7.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB80)) <=> v1(constB80))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32674,plain,
% 9.50/7.12 ((~v39(constB80)) <=> v1(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32673, 129])).
% 9.50/7.12 tff(32675,plain,
% 9.50/7.12 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80)) | (~v1(constB80))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32676,plain,
% 9.50/7.12 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32675, 5985])).
% 9.50/7.12 tff(32677,plain,
% 9.50/7.12 (~v39(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32676, 32674])).
% 9.50/7.12 tff(32678,plain,
% 9.50/7.12 (((~v39(constB80)) | (~v9(constB80))) | v39(constB80)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32679,plain,
% 9.50/7.12 ((~v39(constB80)) | (~v9(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32678, 32677])).
% 9.50/7.12 tff(32680,plain,
% 9.50/7.12 ((~(v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v184(constB80)) | (~((~v39(constB80)) | (~v9(constB80))))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32681,plain,
% 9.50/7.12 ((~(v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v184(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32680, 32679])).
% 9.50/7.12 tff(32682,plain,
% 9.50/7.12 (~v184(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32681, 32672])).
% 9.50/7.12 tff(32683,plain,
% 9.50/7.12 (((~v184(constB80)) | (~v159(constB80))) | v184(constB80)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32684,plain,
% 9.50/7.12 ((~v184(constB80)) | (~v159(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32683, 32682])).
% 9.50/7.12 tff(32685,plain,
% 9.50/7.12 ((~(v187(constB80) <=> (~((~v184(constB80)) | (~v159(constB80)))))) | (~v187(constB80)) | (~((~v184(constB80)) | (~v159(constB80))))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32686,plain,
% 9.50/7.12 ((~(v187(constB80) <=> (~((~v184(constB80)) | (~v159(constB80)))))) | (~v187(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32685, 32684])).
% 9.50/7.12 tff(32687,plain,
% 9.50/7.12 (~v187(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32686, 32670])).
% 9.50/7.12 tff(32688,plain,
% 9.50/7.12 (((~v186(constB80)) | (~v187(constB80))) | v187(constB80)),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32689,plain,
% 9.50/7.12 ((~v186(constB80)) | (~v187(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32688, 32687])).
% 9.50/7.12 tff(32690,plain,
% 9.50/7.12 ((~(v185(constB80) <=> (~((~v186(constB80)) | (~v187(constB80)))))) | (~v185(constB80)) | (~((~v186(constB80)) | (~v187(constB80))))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32691,plain,
% 9.50/7.12 (~v185(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32690, 32689, 32668])).
% 9.50/7.12 tff(32692,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80))))))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32693,plain,
% 9.50/7.12 ((v181(constB80) <=> (~((~v182(constB80)) | (~v157(constB80))))) <=> (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80)))))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32694,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v182(constB80)) | (~v157(constB80)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80))))))),
% 9.50/7.12 inference(monotonicity,[status(thm)],[32693])).
% 9.50/7.12 tff(32695,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v182(constB80)) | (~v157(constB80)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80))))))),
% 9.50/7.12 inference(transitivity,[status(thm)],[32694, 32692])).
% 9.50/7.12 tff(32696,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v182(constB80)) | (~v157(constB80)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32697,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80)))))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32696, 32695])).
% 9.50/7.12 tff(32698,plain,
% 9.50/7.12 (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80))))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32697, 161])).
% 9.50/7.12 tff(32699,plain,
% 9.50/7.12 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB80) <=> v180(constB80))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32700,plain,
% 9.50/7.12 (v157(constB80) <=> v180(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32699, 13])).
% 9.50/7.12 tff(32701,plain,
% 9.50/7.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> v178(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB79, constB80)) | (v180(constB80) <=> v178(constB79)))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32702,plain,
% 9.50/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> v178(constB79)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32703,plain,
% 9.50/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB79, constB80)) | (v180(constB80) <=> v178(constB79))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32702, 32701])).
% 9.50/7.12 tff(32704,plain,
% 9.50/7.12 (v180(constB80) <=> v178(constB79)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32703, 5955, 70])).
% 9.50/7.12 tff(32705,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB79) <=> (v181(constB79) | v185(constB79)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32706,plain,
% 9.50/7.12 (v178(constB79) <=> (v181(constB79) | v185(constB79))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32705, 84])).
% 9.50/7.12 tff(32707,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79))))))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32708,plain,
% 9.50/7.12 ((v181(constB79) <=> (~((~v182(constB79)) | (~v157(constB79))))) <=> (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79)))))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32709,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v182(constB79)) | (~v157(constB79)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79))))))),
% 9.50/7.12 inference(monotonicity,[status(thm)],[32708])).
% 9.50/7.12 tff(32710,plain,
% 9.50/7.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v182(constB79)) | (~v157(constB79)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79))))))),
% 9.50/7.12 inference(transitivity,[status(thm)],[32709, 32707])).
% 9.50/7.12 tff(32711,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v182(constB79)) | (~v157(constB79)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32712,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79)))))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32711, 32710])).
% 9.50/7.12 tff(32713,plain,
% 9.50/7.12 (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79))))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32712, 161])).
% 9.50/7.12 tff(32714,plain,
% 9.50/7.12 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB79)) <=> v183(constB79))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32715,plain,
% 9.50/7.12 ((~v182(constB79)) <=> v183(constB79)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32714, 193])).
% 9.50/7.12 tff(32716,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB79) <=> (v184(constB79) | v26(constB79)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32717,plain,
% 9.50/7.12 (v183(constB79) <=> (v184(constB79) | v26(constB79))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32716, 202])).
% 9.50/7.12 tff(32718,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32719,plain,
% 9.50/7.12 (v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79))))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32718, 120])).
% 9.50/7.12 tff(32720,plain,
% 9.50/7.12 (((~![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)))),
% 9.50/7.12 inference(rewrite,[status(thm)],[])).
% 9.50/7.12 tff(32721,plain,
% 9.50/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32722,plain,
% 9.50/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79))),
% 9.50/7.12 inference(modus_ponens,[status(thm)],[32721, 32720])).
% 9.50/7.12 tff(32723,plain,
% 9.50/7.12 (v13(constB80) <=> v9(constB79)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32722, 5955, 216])).
% 9.50/7.12 tff(32724,plain,
% 9.50/7.12 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB80) <=> v13(constB80))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32725,plain,
% 9.50/7.12 (v6(constB80) <=> v13(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32724, 230])).
% 9.50/7.12 tff(32726,plain,
% 9.50/7.12 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB80)) <=> v6(constB80))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32727,plain,
% 9.50/7.12 ((~v21(constB80)) <=> v6(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32726, 239])).
% 9.50/7.12 tff(32728,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB80) <=> (v20(constB80) | v21(constB80)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32729,plain,
% 9.50/7.12 (v19(constB80) <=> (v20(constB80) | v21(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32728, 248])).
% 9.50/7.12 tff(32730,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32731,plain,
% 9.50/7.12 (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80))))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32730, 260])).
% 9.50/7.12 tff(32732,plain,
% 9.50/7.12 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB80)) <=> v18(constB80))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32733,plain,
% 9.50/7.12 ((~v4(constB80)) <=> v18(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32732, 269])).
% 9.50/7.12 tff(32734,plain,
% 9.50/7.12 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB80)),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32735,plain,
% 9.50/7.12 (v4(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32734, 278])).
% 9.50/7.12 tff(32736,plain,
% 9.50/7.12 ((~((~v4(constB80)) <=> v18(constB80))) | (~v4(constB80)) | (~v18(constB80))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32737,plain,
% 9.50/7.12 (~v18(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32736, 32735, 32733])).
% 9.50/7.12 tff(32738,plain,
% 9.50/7.12 ((~(v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))) | v18(constB80) | ((~v19(constB80)) | (~v22(constB80)))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32739,plain,
% 9.50/7.12 ((~v19(constB80)) | (~v22(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32738, 32737, 32731])).
% 9.50/7.12 tff(32740,plain,
% 9.50/7.12 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB80) <=> (v1(constB80) | v6(constB80)))),
% 9.50/7.12 inference(quant_inst,[status(thm)],[])).
% 9.50/7.12 tff(32741,plain,
% 9.50/7.12 (v22(constB80) <=> (v1(constB80) | v6(constB80))),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32740, 291])).
% 9.50/7.12 tff(32742,plain,
% 9.50/7.12 ((v1(constB80) | v6(constB80)) | (~v1(constB80))),
% 9.50/7.12 inference(tautology,[status(thm)],[])).
% 9.50/7.12 tff(32743,plain,
% 9.50/7.12 (v1(constB80) | v6(constB80)),
% 9.50/7.12 inference(unit_resolution,[status(thm)],[32742, 5985])).
% 9.50/7.12 tff(32744,plain,
% 9.50/7.12 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80) | (~(v1(constB80) | v6(constB80)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32745,plain,
% 9.50/7.13 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32744, 32743])).
% 9.50/7.13 tff(32746,plain,
% 9.50/7.13 (v22(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32745, 32741])).
% 9.50/7.13 tff(32747,plain,
% 9.50/7.13 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80)) | (~v22(constB80))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32748,plain,
% 9.50/7.13 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32747, 32746])).
% 9.50/7.13 tff(32749,plain,
% 9.50/7.13 (~v19(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32748, 32739])).
% 9.50/7.13 tff(32750,plain,
% 9.50/7.13 ((~(v19(constB80) <=> (v20(constB80) | v21(constB80)))) | v19(constB80) | (~(v20(constB80) | v21(constB80)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32751,plain,
% 9.50/7.13 (~(v20(constB80) | v21(constB80))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32750, 32749, 32729])).
% 9.50/7.13 tff(32752,plain,
% 9.50/7.13 ((v20(constB80) | v21(constB80)) | (~v21(constB80))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32753,plain,
% 9.50/7.13 (~v21(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32752, 32751])).
% 9.50/7.13 tff(32754,plain,
% 9.50/7.13 ((~((~v21(constB80)) <=> v6(constB80))) | v21(constB80) | v6(constB80)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32755,plain,
% 9.50/7.13 (v6(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32754, 32753, 32727])).
% 9.50/7.13 tff(32756,plain,
% 9.50/7.13 ((~(v6(constB80) <=> v13(constB80))) | (~v6(constB80)) | v13(constB80)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32757,plain,
% 9.50/7.13 (v13(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32756, 32755, 32725])).
% 9.50/7.13 tff(32758,plain,
% 9.50/7.13 ((~(v13(constB80) <=> v9(constB79))) | (~v13(constB80)) | v9(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32759,plain,
% 9.50/7.13 (v9(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32758, 32757, 32723])).
% 9.50/7.13 tff(32760,plain,
% 9.50/7.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB79)) <=> v1(constB79))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32761,plain,
% 9.50/7.13 ((~v39(constB79)) <=> v1(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32760, 129])).
% 9.50/7.13 tff(32762,plain,
% 9.50/7.13 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79) | v1(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32763,plain,
% 9.50/7.13 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32762, 5977])).
% 9.50/7.13 tff(32764,plain,
% 9.50/7.13 (v39(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32763, 32761])).
% 9.50/7.13 tff(32765,plain,
% 9.50/7.13 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v39(constB79)) | (~v9(constB79))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32766,plain,
% 9.50/7.13 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v9(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32765, 32764])).
% 9.50/7.13 tff(32767,plain,
% 9.50/7.13 (~((~v39(constB79)) | (~v9(constB79)))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32766, 32759])).
% 9.50/7.13 tff(32768,plain,
% 9.50/7.13 ((~(v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))) | v184(constB79) | ((~v39(constB79)) | (~v9(constB79)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32769,plain,
% 9.50/7.13 (v184(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32768, 32767, 32719])).
% 9.50/7.13 tff(32770,plain,
% 9.50/7.13 ((v184(constB79) | v26(constB79)) | (~v184(constB79))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32771,plain,
% 9.50/7.13 (v184(constB79) | v26(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32770, 32769])).
% 9.50/7.13 tff(32772,plain,
% 9.50/7.13 ((~(v183(constB79) <=> (v184(constB79) | v26(constB79)))) | v183(constB79) | (~(v184(constB79) | v26(constB79)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32773,plain,
% 9.50/7.13 (v183(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32772, 32771, 32717])).
% 9.50/7.13 tff(32774,plain,
% 9.50/7.13 ((~((~v182(constB79)) <=> v183(constB79))) | (~v182(constB79)) | (~v183(constB79))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32775,plain,
% 9.50/7.13 (~v182(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32774, 32773, 32715])).
% 9.50/7.13 tff(32776,plain,
% 9.50/7.13 (((~v157(constB79)) | (~v182(constB79))) | v182(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32777,plain,
% 9.50/7.13 ((~v157(constB79)) | (~v182(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32776, 32775])).
% 9.50/7.13 tff(32778,plain,
% 9.50/7.13 ((~(v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79)))))) | (~v181(constB79)) | (~((~v157(constB79)) | (~v182(constB79))))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32779,plain,
% 9.50/7.13 (~v181(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32778, 32777, 32713])).
% 9.50/7.13 tff(32780,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB79) <=> (~((~v186(constB79)) | (~v187(constB79)))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32781,plain,
% 9.50/7.13 (v185(constB79) <=> (~((~v186(constB79)) | (~v187(constB79))))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32780, 96])).
% 9.50/7.13 tff(32782,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB79) <=> (~((~v184(constB79)) | (~v159(constB79)))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32783,plain,
% 9.50/7.13 (v187(constB79) <=> (~((~v184(constB79)) | (~v159(constB79))))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32782, 108])).
% 9.50/7.13 tff(32784,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB79) <=> v161(constB79))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32785,plain,
% 9.50/7.13 (v159(constB79) <=> v161(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32784, 345])).
% 9.50/7.13 tff(32786,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32787,plain,
% 9.50/7.13 (v139(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2)))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32786, 360])).
% 9.50/7.13 tff(32788,plain,
% 9.50/7.13 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32789,plain,
% 9.50/7.13 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32790,plain,
% 9.50/7.13 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32789, 32788])).
% 9.50/7.13 tff(32791,plain,
% 9.50/7.13 (v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32790, 375, 372])).
% 9.50/7.13 tff(32792,plain,
% 9.50/7.13 ((~(v88(constB79, bitIndex1) <=> v90(constB79, bitIndex1))) | v88(constB79, bitIndex1) | (~v90(constB79, bitIndex1))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32793,plain,
% 9.50/7.13 (v88(constB79, bitIndex1)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32792, 16236, 32791])).
% 9.50/7.13 tff(32794,plain,
% 9.50/7.13 ((v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2)) | (~v88(constB79, bitIndex1))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32795,plain,
% 9.50/7.13 (v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32794, 32793])).
% 9.50/7.13 tff(32796,plain,
% 9.50/7.13 ((~(v139(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2))))) | (~v139(constB79)) | (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32797,plain,
% 9.50/7.13 (~v139(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32796, 32795, 32787])).
% 9.50/7.13 tff(32798,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0))))))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32799,plain,
% 9.50/7.13 ((v140(constB79) <=> (~(v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))))) <=> (v140(constB79) <=> (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0)))))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32800,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0))))))),
% 9.50/7.13 inference(monotonicity,[status(thm)],[32799])).
% 9.50/7.13 tff(32801,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0))))))),
% 9.50/7.13 inference(transitivity,[status(thm)],[32800, 32798])).
% 9.50/7.13 tff(32802,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32803,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0)))))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32802, 32801])).
% 9.50/7.13 tff(32804,plain,
% 9.50/7.13 (v140(constB79) <=> (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0))))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32803, 25795])).
% 9.50/7.13 tff(32805,plain,
% 9.50/7.13 ((v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0))) | (~v88(constB79, bitIndex1))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32806,plain,
% 9.50/7.13 (v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32805, 32793])).
% 9.50/7.13 tff(32807,plain,
% 9.50/7.13 ((~(v140(constB79) <=> (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0)))))) | (~v140(constB79)) | (~(v88(constB79, bitIndex2) | v88(constB79, bitIndex1) | (~v88(constB79, bitIndex0))))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32808,plain,
% 9.50/7.13 (~v140(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32807, 32806, 32804])).
% 9.50/7.13 tff(32809,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v168(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB79) | v139(constB79) | (~v168(constB79)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32810,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v168(constB79)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32811,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB79) | v139(constB79) | (~v168(constB79))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 9.50/7.13 tff(32812,plain,
% 9.50/7.13 (v140(constB79) | v139(constB79) | (~v168(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32811, 25819])).
% 9.50/7.13 tff(32813,plain,
% 9.50/7.13 (~v168(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32812, 32808, 32797])).
% 9.50/7.13 tff(32814,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB79) <=> (v145(constB79) | v165(constB79)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32815,plain,
% 9.50/7.13 (v164(constB79) <=> (v145(constB79) | v165(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32814, 25834])).
% 9.50/7.13 tff(32816,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB79) <=> (v142(constB79) | v166(constB79)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32817,plain,
% 9.50/7.13 (v165(constB79) <=> (v142(constB79) | v166(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32816, 25846])).
% 9.50/7.13 tff(32818,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB79) <=> (v141(constB79) | v167(constB79)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32819,plain,
% 9.50/7.13 (v166(constB79) <=> (v141(constB79) | v167(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32818, 26362])).
% 9.50/7.13 tff(32820,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32821,plain,
% 9.50/7.13 (v141(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0))))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32820, 26377])).
% 9.50/7.13 tff(32822,plain,
% 9.50/7.13 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32823,plain,
% 9.50/7.13 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32824,plain,
% 9.50/7.13 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32823, 32822])).
% 9.50/7.13 tff(32825,plain,
% 9.50/7.13 (v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32824, 648, 372])).
% 9.50/7.13 tff(32826,plain,
% 9.50/7.13 ((~(v88(constB79, bitIndex2) <=> v90(constB79, bitIndex2))) | (~v88(constB79, bitIndex2)) | v90(constB79, bitIndex2)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32827,plain,
% 9.50/7.13 (~v88(constB79, bitIndex2)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32826, 16174, 32825])).
% 9.50/7.13 tff(32828,plain,
% 9.50/7.13 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32829,plain,
% 9.50/7.13 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32830,plain,
% 9.50/7.13 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32829, 32828])).
% 9.50/7.13 tff(32831,plain,
% 9.50/7.13 (v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32830, 9653, 372])).
% 9.50/7.13 tff(32832,plain,
% 9.50/7.13 ((~(v88(constB79, bitIndex0) <=> v90(constB79, bitIndex0))) | v88(constB79, bitIndex0) | (~v90(constB79, bitIndex0))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32833,plain,
% 9.50/7.13 (v88(constB79, bitIndex0)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32832, 16205, 32831])).
% 9.50/7.13 tff(32834,plain,
% 9.50/7.13 ((~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)))) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32835,plain,
% 9.50/7.13 (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32834, 32793, 32833, 32827])).
% 9.50/7.13 tff(32836,plain,
% 9.50/7.13 ((~(v141(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)))))) | v141(constB79) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32837,plain,
% 9.50/7.13 (v141(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32836, 32835, 32821])).
% 9.50/7.13 tff(32838,plain,
% 9.50/7.13 ((v141(constB79) | v167(constB79)) | (~v141(constB79))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32839,plain,
% 9.50/7.13 (v141(constB79) | v167(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32838, 32837])).
% 9.50/7.13 tff(32840,plain,
% 9.50/7.13 ((~(v166(constB79) <=> (v141(constB79) | v167(constB79)))) | v166(constB79) | (~(v141(constB79) | v167(constB79)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32841,plain,
% 9.50/7.13 (v166(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32840, 32839, 32819])).
% 9.50/7.13 tff(32842,plain,
% 9.50/7.13 ((v142(constB79) | v166(constB79)) | (~v166(constB79))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32843,plain,
% 9.50/7.13 (v142(constB79) | v166(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32842, 32841])).
% 9.50/7.13 tff(32844,plain,
% 9.50/7.13 ((~(v165(constB79) <=> (v142(constB79) | v166(constB79)))) | v165(constB79) | (~(v142(constB79) | v166(constB79)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32845,plain,
% 9.50/7.13 (v165(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32844, 32843, 32817])).
% 9.50/7.13 tff(32846,plain,
% 9.50/7.13 ((v145(constB79) | v165(constB79)) | (~v165(constB79))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32847,plain,
% 9.50/7.13 (v145(constB79) | v165(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32846, 32845])).
% 9.50/7.13 tff(32848,plain,
% 9.50/7.13 ((~(v164(constB79) <=> (v145(constB79) | v165(constB79)))) | v164(constB79) | (~(v145(constB79) | v165(constB79)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32849,plain,
% 9.50/7.13 (v164(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32848, 32847, 32815])).
% 9.50/7.13 tff(32850,plain,
% 9.50/7.13 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB79)) | (v161(constB79) <=> v168(constB79)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB79)) | (v161(constB79) <=> v168(constB79)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32851,plain,
% 9.50/7.13 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB79)) | (v161(constB79) <=> v168(constB79)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32852,plain,
% 9.50/7.13 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB79)) | (v161(constB79) <=> v168(constB79))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32851, 32850])).
% 9.50/7.13 tff(32853,plain,
% 9.50/7.13 ((~v164(constB79)) | (v161(constB79) <=> v168(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32852, 25977])).
% 9.50/7.13 tff(32854,plain,
% 9.50/7.13 (v161(constB79) <=> v168(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32853, 32849])).
% 9.50/7.13 tff(32855,plain,
% 9.50/7.13 ((~(v161(constB79) <=> v168(constB79))) | (~v161(constB79)) | v168(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32856,plain,
% 9.50/7.13 (~v161(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32855, 32854, 32813])).
% 9.50/7.13 tff(32857,plain,
% 9.50/7.13 ((~(v159(constB79) <=> v161(constB79))) | (~v159(constB79)) | v161(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32858,plain,
% 9.50/7.13 ((~(v159(constB79) <=> v161(constB79))) | (~v159(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32857, 32856])).
% 9.50/7.13 tff(32859,plain,
% 9.50/7.13 (~v159(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32858, 32785])).
% 9.50/7.13 tff(32860,plain,
% 9.50/7.13 (((~v184(constB79)) | (~v159(constB79))) | v159(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32861,plain,
% 9.50/7.13 ((~v184(constB79)) | (~v159(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32860, 32859])).
% 9.50/7.13 tff(32862,plain,
% 9.50/7.13 ((~(v187(constB79) <=> (~((~v184(constB79)) | (~v159(constB79)))))) | (~v187(constB79)) | (~((~v184(constB79)) | (~v159(constB79))))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32863,plain,
% 9.50/7.13 (~v187(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32862, 32861, 32783])).
% 9.50/7.13 tff(32864,plain,
% 9.50/7.13 (((~v186(constB79)) | (~v187(constB79))) | v187(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32865,plain,
% 9.50/7.13 ((~v186(constB79)) | (~v187(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32864, 32863])).
% 9.50/7.13 tff(32866,plain,
% 9.50/7.13 ((~(v185(constB79) <=> (~((~v186(constB79)) | (~v187(constB79)))))) | (~v185(constB79)) | (~((~v186(constB79)) | (~v187(constB79))))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32867,plain,
% 9.50/7.13 (~v185(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32866, 32865, 32781])).
% 9.50/7.13 tff(32868,plain,
% 9.50/7.13 ((~(v181(constB79) | v185(constB79))) | v181(constB79) | v185(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32869,plain,
% 9.50/7.13 (~(v181(constB79) | v185(constB79))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32868, 32867, 32779])).
% 9.50/7.13 tff(32870,plain,
% 9.50/7.13 ((~(v178(constB79) <=> (v181(constB79) | v185(constB79)))) | (~v178(constB79)) | (v181(constB79) | v185(constB79))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32871,plain,
% 9.50/7.13 (~v178(constB79)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32870, 32869, 32706])).
% 9.50/7.13 tff(32872,plain,
% 9.50/7.13 ((~(v180(constB80) <=> v178(constB79))) | (~v180(constB80)) | v178(constB79)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32873,plain,
% 9.50/7.13 (~v180(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32872, 32871, 32704])).
% 9.50/7.13 tff(32874,plain,
% 9.50/7.13 ((~(v157(constB80) <=> v180(constB80))) | (~v157(constB80)) | v180(constB80)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32875,plain,
% 9.50/7.13 (~v157(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32874, 32873, 32700])).
% 9.50/7.13 tff(32876,plain,
% 9.50/7.13 (((~v157(constB80)) | (~v182(constB80))) | v157(constB80)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32877,plain,
% 9.50/7.13 ((~v157(constB80)) | (~v182(constB80))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32876, 32875])).
% 9.50/7.13 tff(32878,plain,
% 9.50/7.13 ((~(v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80)))))) | (~v181(constB80)) | (~((~v157(constB80)) | (~v182(constB80))))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32879,plain,
% 9.50/7.13 (~v181(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32878, 32877, 32698])).
% 9.50/7.13 tff(32880,plain,
% 9.50/7.13 ((~(v181(constB80) | v185(constB80))) | v181(constB80) | v185(constB80)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32881,plain,
% 9.50/7.13 (~(v181(constB80) | v185(constB80))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32880, 32879, 32691])).
% 9.50/7.13 tff(32882,plain,
% 9.50/7.13 ((~(v178(constB80) <=> (v181(constB80) | v185(constB80)))) | (~v178(constB80)) | (v181(constB80) | v185(constB80))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32883,plain,
% 9.50/7.13 (~v178(constB80)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32882, 32881, 32666])).
% 9.50/7.13 tff(32884,plain,
% 9.50/7.13 ((~(v180(constB81) <=> v178(constB80))) | (~v180(constB81)) | v178(constB80)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32885,plain,
% 9.50/7.13 (~v180(constB81)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32884, 32883, 32664])).
% 9.50/7.13 tff(32886,plain,
% 9.50/7.13 ($false),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32885, 32660])).
% 9.50/7.13 tff(32887,plain,(~(constB81 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.50/7.13 tff(32888,assumption,(constB13 = VarCurr!0), introduced(assumption)).
% 9.50/7.13 tff(32889,plain,
% 9.50/7.13 (v86(constB13) <=> v86(VarCurr!0)),
% 9.50/7.13 inference(monotonicity,[status(thm)],[32888])).
% 9.50/7.13 tff(32890,plain,
% 9.50/7.13 (v86(VarCurr!0) <=> v86(constB13)),
% 9.50/7.13 inference(symmetry,[status(thm)],[32889])).
% 9.50/7.13 tff(32891,plain,
% 9.50/7.13 ((~v86(VarCurr!0)) <=> (~v86(constB13))),
% 9.50/7.13 inference(monotonicity,[status(thm)],[32890])).
% 9.50/7.13 tff(32892,plain,
% 9.50/7.13 (~v86(constB13)),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[26079, 32891])).
% 9.50/7.13 tff(32893,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB13) | (~v142(constB13)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32894,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB13) | (~v142(constB13)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32895,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB13) | (~v142(constB13))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32894, 32893])).
% 9.50/7.13 tff(32896,plain,
% 9.50/7.13 (v148(constB13) | (~v142(constB13))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32895, 26138])).
% 9.50/7.13 tff(32897,plain,
% 9.50/7.13 (v148(constB13)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32896, 32610])).
% 9.50/7.13 tff(32898,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB13) <=> (v136(constB13) | v145(constB13)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32899,plain,
% 9.50/7.13 (v135(constB13) <=> (v136(constB13) | v145(constB13))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32898, 26150])).
% 9.50/7.13 tff(32900,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB13) <=> (v137(constB13) | v142(constB13)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32901,plain,
% 9.50/7.13 (v136(constB13) <=> (v137(constB13) | v142(constB13))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32900, 26159])).
% 9.50/7.13 tff(32902,plain,
% 9.50/7.13 ((v137(constB13) | v142(constB13)) | (~v142(constB13))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32903,plain,
% 9.50/7.13 (v137(constB13) | v142(constB13)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32902, 32610])).
% 9.50/7.13 tff(32904,plain,
% 9.50/7.13 ((~(v136(constB13) <=> (v137(constB13) | v142(constB13)))) | v136(constB13) | (~(v137(constB13) | v142(constB13)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32905,plain,
% 9.50/7.13 (v136(constB13)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32904, 32903, 32901])).
% 9.50/7.13 tff(32906,plain,
% 9.50/7.13 ((v136(constB13) | v145(constB13)) | (~v136(constB13))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32907,plain,
% 9.50/7.13 (v136(constB13) | v145(constB13)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32906, 32905])).
% 9.50/7.13 tff(32908,plain,
% 9.50/7.13 ((~(v135(constB13) <=> (v136(constB13) | v145(constB13)))) | v135(constB13) | (~(v136(constB13) | v145(constB13)))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32909,plain,
% 9.50/7.13 (v135(constB13)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32908, 32907, 32899])).
% 9.50/7.13 tff(32910,plain,
% 9.50/7.13 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB13)) | (v86(constB13) <=> v148(constB13)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB13)) | (v86(constB13) <=> v148(constB13)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32911,plain,
% 9.50/7.13 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB13)) | (v86(constB13) <=> v148(constB13)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32912,plain,
% 9.50/7.13 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB13)) | (v86(constB13) <=> v148(constB13))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 9.50/7.13 tff(32913,plain,
% 9.50/7.13 ((~v135(constB13)) | (v86(constB13) <=> v148(constB13))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32912, 26179])).
% 9.50/7.13 tff(32914,plain,
% 9.50/7.13 (v86(constB13) <=> v148(constB13)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32913, 32909])).
% 9.50/7.13 tff(32915,plain,
% 9.50/7.13 ((~(v86(constB13) <=> v148(constB13))) | v86(constB13) | (~v148(constB13))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32916,plain,
% 9.50/7.13 (v86(constB13)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32915, 32914, 32897])).
% 9.50/7.13 tff(32917,plain,
% 9.50/7.13 ($false),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32916, 32892])).
% 9.50/7.13 tff(32918,plain,(~(constB13 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.50/7.13 tff(32919,assumption,(constB83 = VarCurr!0), introduced(assumption)).
% 9.50/7.13 tff(32920,plain,
% 9.50/7.13 (v180(constB83) <=> v180(VarCurr!0)),
% 9.50/7.13 inference(monotonicity,[status(thm)],[32919])).
% 9.50/7.13 tff(32921,plain,
% 9.50/7.13 (v180(VarCurr!0) <=> v180(constB83)),
% 9.50/7.13 inference(symmetry,[status(thm)],[32920])).
% 9.50/7.13 tff(32922,plain,
% 9.50/7.13 (v180(constB83)),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[59, 32921])).
% 9.50/7.13 tff(32923,plain,
% 9.50/7.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32924,plain,
% 9.50/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32925,plain,
% 9.50/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32924, 32923])).
% 9.50/7.13 tff(32926,plain,
% 9.50/7.13 (v180(constB83) <=> v178(constB82)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32925, 5832, 70])).
% 9.50/7.13 tff(32927,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB82) <=> (v181(constB82) | v185(constB82)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32928,plain,
% 9.50/7.13 (v178(constB82) <=> (v181(constB82) | v185(constB82))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32927, 84])).
% 9.50/7.13 tff(32929,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82)))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32930,plain,
% 9.50/7.13 (v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82))))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32929, 96])).
% 9.50/7.13 tff(32931,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB82) <=> (~((~v184(constB82)) | (~v159(constB82)))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32932,plain,
% 9.50/7.13 (v187(constB82) <=> (~((~v184(constB82)) | (~v159(constB82))))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32931, 108])).
% 9.50/7.13 tff(32933,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32934,plain,
% 9.50/7.13 (v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82))))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32933, 120])).
% 9.50/7.13 tff(32935,plain,
% 9.50/7.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB82)) <=> v1(constB82))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32936,plain,
% 9.50/7.13 ((~v39(constB82)) <=> v1(constB82)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32935, 129])).
% 9.50/7.13 tff(32937,plain,
% 9.50/7.13 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82)) | (~v1(constB82))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32938,plain,
% 9.50/7.13 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32937, 5894])).
% 9.50/7.13 tff(32939,plain,
% 9.50/7.13 (~v39(constB82)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32938, 32936])).
% 9.50/7.13 tff(32940,plain,
% 9.50/7.13 (((~v39(constB82)) | (~v9(constB82))) | v39(constB82)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32941,plain,
% 9.50/7.13 ((~v39(constB82)) | (~v9(constB82))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32940, 32939])).
% 9.50/7.13 tff(32942,plain,
% 9.50/7.13 ((~(v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v184(constB82)) | (~((~v39(constB82)) | (~v9(constB82))))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32943,plain,
% 9.50/7.13 ((~(v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v184(constB82))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32942, 32941])).
% 9.50/7.13 tff(32944,plain,
% 9.50/7.13 (~v184(constB82)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32943, 32934])).
% 9.50/7.13 tff(32945,plain,
% 9.50/7.13 (((~v184(constB82)) | (~v159(constB82))) | v184(constB82)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32946,plain,
% 9.50/7.13 ((~v184(constB82)) | (~v159(constB82))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32945, 32944])).
% 9.50/7.13 tff(32947,plain,
% 9.50/7.13 ((~(v187(constB82) <=> (~((~v184(constB82)) | (~v159(constB82)))))) | (~v187(constB82)) | (~((~v184(constB82)) | (~v159(constB82))))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32948,plain,
% 9.50/7.13 ((~(v187(constB82) <=> (~((~v184(constB82)) | (~v159(constB82)))))) | (~v187(constB82))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32947, 32946])).
% 9.50/7.13 tff(32949,plain,
% 9.50/7.13 (~v187(constB82)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32948, 32932])).
% 9.50/7.13 tff(32950,plain,
% 9.50/7.13 (((~v186(constB82)) | (~v187(constB82))) | v187(constB82)),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32951,plain,
% 9.50/7.13 ((~v186(constB82)) | (~v187(constB82))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32950, 32949])).
% 9.50/7.13 tff(32952,plain,
% 9.50/7.13 ((~(v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82)))))) | (~v185(constB82)) | (~((~v186(constB82)) | (~v187(constB82))))),
% 9.50/7.13 inference(tautology,[status(thm)],[])).
% 9.50/7.13 tff(32953,plain,
% 9.50/7.13 (~v185(constB82)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32952, 32951, 32930])).
% 9.50/7.13 tff(32954,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82))))))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32955,plain,
% 9.50/7.13 ((v181(constB82) <=> (~((~v182(constB82)) | (~v157(constB82))))) <=> (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82)))))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32956,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82))))))),
% 9.50/7.13 inference(monotonicity,[status(thm)],[32955])).
% 9.50/7.13 tff(32957,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82))))))),
% 9.50/7.13 inference(transitivity,[status(thm)],[32956, 32954])).
% 9.50/7.13 tff(32958,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v157(constB82)))))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32959,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82)))))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32958, 32957])).
% 9.50/7.13 tff(32960,plain,
% 9.50/7.13 (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82))))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32959, 161])).
% 9.50/7.13 tff(32961,plain,
% 9.50/7.13 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB82) <=> v180(constB82))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32962,plain,
% 9.50/7.13 (v157(constB82) <=> v180(constB82)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32961, 13])).
% 9.50/7.13 tff(32963,plain,
% 9.50/7.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81)))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32964,plain,
% 9.50/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32965,plain,
% 9.50/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81))),
% 9.50/7.13 inference(modus_ponens,[status(thm)],[32964, 32963])).
% 9.50/7.13 tff(32966,plain,
% 9.50/7.13 (v180(constB82) <=> v178(constB81)),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32965, 5864, 70])).
% 9.50/7.13 tff(32967,plain,
% 9.50/7.13 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB81) <=> (v181(constB81) | v185(constB81)))),
% 9.50/7.13 inference(quant_inst,[status(thm)],[])).
% 9.50/7.13 tff(32968,plain,
% 9.50/7.13 (v178(constB81) <=> (v181(constB81) | v185(constB81))),
% 9.50/7.13 inference(unit_resolution,[status(thm)],[32967, 84])).
% 9.50/7.13 tff(32969,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81))))))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32970,plain,
% 9.50/7.13 ((v181(constB81) <=> (~((~v182(constB81)) | (~v157(constB81))))) <=> (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81)))))),
% 9.50/7.13 inference(rewrite,[status(thm)],[])).
% 9.50/7.13 tff(32971,plain,
% 9.50/7.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v157(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81))))))),
% 9.50/7.14 inference(monotonicity,[status(thm)],[32970])).
% 9.50/7.14 tff(32972,plain,
% 9.50/7.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v157(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81))))))),
% 9.50/7.14 inference(transitivity,[status(thm)],[32971, 32969])).
% 9.50/7.14 tff(32973,plain,
% 9.50/7.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v157(constB81)))))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32974,plain,
% 9.50/7.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81)))))),
% 9.50/7.14 inference(modus_ponens,[status(thm)],[32973, 32972])).
% 9.50/7.14 tff(32975,plain,
% 9.50/7.14 (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81))))),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32974, 161])).
% 9.50/7.14 tff(32976,plain,
% 9.50/7.14 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB81)) <=> v183(constB81))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32977,plain,
% 9.50/7.14 ((~v182(constB81)) <=> v183(constB81)),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32976, 193])).
% 9.50/7.14 tff(32978,plain,
% 9.50/7.14 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB81) <=> (v184(constB81) | v26(constB81)))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32979,plain,
% 9.50/7.14 (v183(constB81) <=> (v184(constB81) | v26(constB81))),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32978, 202])).
% 9.50/7.14 tff(32980,plain,
% 9.50/7.14 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32981,plain,
% 9.50/7.14 (v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81))))),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32980, 120])).
% 9.50/7.14 tff(32982,plain,
% 9.50/7.14 (((~![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)))),
% 9.50/7.14 inference(rewrite,[status(thm)],[])).
% 9.50/7.14 tff(32983,plain,
% 9.50/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32984,plain,
% 9.50/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81))),
% 9.50/7.14 inference(modus_ponens,[status(thm)],[32983, 32982])).
% 9.50/7.14 tff(32985,plain,
% 9.50/7.14 (v13(constB82) <=> v9(constB81)),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32984, 5864, 216])).
% 9.50/7.14 tff(32986,plain,
% 9.50/7.14 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB82) <=> v13(constB82))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32987,plain,
% 9.50/7.14 (v6(constB82) <=> v13(constB82)),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32986, 230])).
% 9.50/7.14 tff(32988,plain,
% 9.50/7.14 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB82)) <=> v6(constB82))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32989,plain,
% 9.50/7.14 ((~v21(constB82)) <=> v6(constB82)),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32988, 239])).
% 9.50/7.14 tff(32990,plain,
% 9.50/7.14 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB82) <=> (v20(constB82) | v21(constB82)))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32991,plain,
% 9.50/7.14 (v19(constB82) <=> (v20(constB82) | v21(constB82))),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32990, 248])).
% 9.50/7.14 tff(32992,plain,
% 9.50/7.14 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32993,plain,
% 9.50/7.14 (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82))))),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32992, 260])).
% 9.50/7.14 tff(32994,plain,
% 9.50/7.14 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB82)) <=> v18(constB82))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32995,plain,
% 9.50/7.14 ((~v4(constB82)) <=> v18(constB82)),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32994, 269])).
% 9.50/7.14 tff(32996,plain,
% 9.50/7.14 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB82)),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(32997,plain,
% 9.50/7.14 (v4(constB82)),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32996, 278])).
% 9.50/7.14 tff(32998,plain,
% 9.50/7.14 ((~((~v4(constB82)) <=> v18(constB82))) | (~v4(constB82)) | (~v18(constB82))),
% 9.50/7.14 inference(tautology,[status(thm)],[])).
% 9.50/7.14 tff(32999,plain,
% 9.50/7.14 (~v18(constB82)),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[32998, 32997, 32995])).
% 9.50/7.14 tff(33000,plain,
% 9.50/7.14 ((~(v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))) | v18(constB82) | ((~v19(constB82)) | (~v22(constB82)))),
% 9.50/7.14 inference(tautology,[status(thm)],[])).
% 9.50/7.14 tff(33001,plain,
% 9.50/7.14 ((~v19(constB82)) | (~v22(constB82))),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[33000, 32999, 32993])).
% 9.50/7.14 tff(33002,plain,
% 9.50/7.14 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB82) <=> (v1(constB82) | v6(constB82)))),
% 9.50/7.14 inference(quant_inst,[status(thm)],[])).
% 9.50/7.14 tff(33003,plain,
% 9.50/7.14 (v22(constB82) <=> (v1(constB82) | v6(constB82))),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[33002, 291])).
% 9.50/7.14 tff(33004,plain,
% 9.50/7.14 ((v1(constB82) | v6(constB82)) | (~v1(constB82))),
% 9.50/7.14 inference(tautology,[status(thm)],[])).
% 9.50/7.14 tff(33005,plain,
% 9.50/7.14 (v1(constB82) | v6(constB82)),
% 9.50/7.14 inference(unit_resolution,[status(thm)],[33004, 5894])).
% 9.50/7.14 tff(33006,plain,
% 9.50/7.14 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82) | (~(v1(constB82) | v6(constB82)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33007,plain,
% 9.56/7.14 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33006, 33005])).
% 9.56/7.14 tff(33008,plain,
% 9.56/7.14 (v22(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33007, 33003])).
% 9.56/7.14 tff(33009,plain,
% 9.56/7.14 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82)) | (~v22(constB82))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33010,plain,
% 9.56/7.14 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33009, 33008])).
% 9.56/7.14 tff(33011,plain,
% 9.56/7.14 (~v19(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33010, 33001])).
% 9.56/7.14 tff(33012,plain,
% 9.56/7.14 ((~(v19(constB82) <=> (v20(constB82) | v21(constB82)))) | v19(constB82) | (~(v20(constB82) | v21(constB82)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33013,plain,
% 9.56/7.14 (~(v20(constB82) | v21(constB82))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33012, 33011, 32991])).
% 9.56/7.14 tff(33014,plain,
% 9.56/7.14 ((v20(constB82) | v21(constB82)) | (~v21(constB82))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33015,plain,
% 9.56/7.14 (~v21(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33014, 33013])).
% 9.56/7.14 tff(33016,plain,
% 9.56/7.14 ((~((~v21(constB82)) <=> v6(constB82))) | v21(constB82) | v6(constB82)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33017,plain,
% 9.56/7.14 (v6(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33016, 33015, 32989])).
% 9.56/7.14 tff(33018,plain,
% 9.56/7.14 ((~(v6(constB82) <=> v13(constB82))) | (~v6(constB82)) | v13(constB82)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33019,plain,
% 9.56/7.14 (v13(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33018, 33017, 32987])).
% 9.56/7.14 tff(33020,plain,
% 9.56/7.14 ((~(v13(constB82) <=> v9(constB81))) | (~v13(constB82)) | v9(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33021,plain,
% 9.56/7.14 (v9(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33020, 33019, 32985])).
% 9.56/7.14 tff(33022,plain,
% 9.56/7.14 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB81)) <=> v1(constB81))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33023,plain,
% 9.56/7.14 ((~v39(constB81)) <=> v1(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33022, 129])).
% 9.56/7.14 tff(33024,plain,
% 9.56/7.14 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81) | v1(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33025,plain,
% 9.56/7.14 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33024, 5886])).
% 9.56/7.14 tff(33026,plain,
% 9.56/7.14 (v39(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33025, 33023])).
% 9.56/7.14 tff(33027,plain,
% 9.56/7.14 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v39(constB81)) | (~v9(constB81))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33028,plain,
% 9.56/7.14 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v9(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33027, 33026])).
% 9.56/7.14 tff(33029,plain,
% 9.56/7.14 (~((~v39(constB81)) | (~v9(constB81)))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33028, 33021])).
% 9.56/7.14 tff(33030,plain,
% 9.56/7.14 ((~(v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))) | v184(constB81) | ((~v39(constB81)) | (~v9(constB81)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33031,plain,
% 9.56/7.14 (v184(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33030, 33029, 32981])).
% 9.56/7.14 tff(33032,plain,
% 9.56/7.14 ((v184(constB81) | v26(constB81)) | (~v184(constB81))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33033,plain,
% 9.56/7.14 (v184(constB81) | v26(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33032, 33031])).
% 9.56/7.14 tff(33034,plain,
% 9.56/7.14 ((~(v183(constB81) <=> (v184(constB81) | v26(constB81)))) | v183(constB81) | (~(v184(constB81) | v26(constB81)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33035,plain,
% 9.56/7.14 (v183(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33034, 33033, 32979])).
% 9.56/7.14 tff(33036,plain,
% 9.56/7.14 ((~((~v182(constB81)) <=> v183(constB81))) | (~v182(constB81)) | (~v183(constB81))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33037,plain,
% 9.56/7.14 (~v182(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33036, 33035, 32977])).
% 9.56/7.14 tff(33038,plain,
% 9.56/7.14 (((~v157(constB81)) | (~v182(constB81))) | v182(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33039,plain,
% 9.56/7.14 ((~v157(constB81)) | (~v182(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33038, 33037])).
% 9.56/7.14 tff(33040,plain,
% 9.56/7.14 ((~(v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81)))))) | (~v181(constB81)) | (~((~v157(constB81)) | (~v182(constB81))))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33041,plain,
% 9.56/7.14 (~v181(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33040, 33039, 32975])).
% 9.56/7.14 tff(33042,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81)))))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33043,plain,
% 9.56/7.14 (v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81))))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33042, 96])).
% 9.56/7.14 tff(33044,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB81) <=> (~((~v184(constB81)) | (~v159(constB81)))))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33045,plain,
% 9.56/7.14 (v187(constB81) <=> (~((~v184(constB81)) | (~v159(constB81))))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33044, 108])).
% 9.56/7.14 tff(33046,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB81) <=> v161(constB81))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33047,plain,
% 9.56/7.14 (v159(constB81) <=> v161(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33046, 345])).
% 9.56/7.14 tff(33048,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2))))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33049,plain,
% 9.56/7.14 (v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33048, 360])).
% 9.56/7.14 tff(33050,plain,
% 9.56/7.14 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2)))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33051,plain,
% 9.56/7.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33052,plain,
% 9.56/7.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33051, 33050])).
% 9.56/7.14 tff(33053,plain,
% 9.56/7.14 (v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33052, 648, 372])).
% 9.56/7.14 tff(33054,plain,
% 9.56/7.14 ((~(v88(constB81, bitIndex2) <=> v90(constB81, bitIndex2))) | v88(constB81, bitIndex2) | (~v90(constB81, bitIndex2))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33055,plain,
% 9.56/7.14 (v88(constB81, bitIndex2)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33054, 16328, 33053])).
% 9.56/7.14 tff(33056,plain,
% 9.56/7.14 ((v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex2))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33057,plain,
% 9.56/7.14 (v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33056, 33055])).
% 9.56/7.14 tff(33058,plain,
% 9.56/7.14 ((~(v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2))))) | (~v139(constB81)) | (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33059,plain,
% 9.56/7.14 (~v139(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33058, 33057, 33049])).
% 9.56/7.14 tff(33060,plain,
% 9.56/7.14 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))))))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33061,plain,
% 9.56/7.14 ((v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))))) <=> (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0)))))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33062,plain,
% 9.56/7.14 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))))))),
% 9.56/7.14 inference(monotonicity,[status(thm)],[33061])).
% 9.56/7.14 tff(33063,plain,
% 9.56/7.14 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))))))),
% 9.56/7.14 inference(transitivity,[status(thm)],[33062, 33060])).
% 9.56/7.14 tff(33064,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33065,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0)))))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33064, 33063])).
% 9.56/7.14 tff(33066,plain,
% 9.56/7.14 (v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33065, 25795])).
% 9.56/7.14 tff(33067,plain,
% 9.56/7.14 ((v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))) | (~v88(constB81, bitIndex2))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33068,plain,
% 9.56/7.14 (v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33067, 33055])).
% 9.56/7.14 tff(33069,plain,
% 9.56/7.14 ((~(v140(constB81) <=> (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0)))))) | (~v140(constB81)) | (~(v88(constB81, bitIndex2) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex0))))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33070,plain,
% 9.56/7.14 (~v140(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33069, 33068, 33066])).
% 9.56/7.14 tff(33071,plain,
% 9.56/7.14 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v168(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB81) | v139(constB81) | (~v168(constB81)))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33072,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v168(constB81)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33073,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB81) | v139(constB81) | (~v168(constB81))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33072, 33071])).
% 9.56/7.14 tff(33074,plain,
% 9.56/7.14 (v140(constB81) | v139(constB81) | (~v168(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33073, 25819])).
% 9.56/7.14 tff(33075,plain,
% 9.56/7.14 (~v168(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33074, 33070, 33059])).
% 9.56/7.14 tff(33076,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB81) <=> (v145(constB81) | v165(constB81)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33077,plain,
% 9.56/7.14 (v164(constB81) <=> (v145(constB81) | v165(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33076, 25834])).
% 9.56/7.14 tff(33078,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB81) <=> (v146(constB81) | v147(constB81)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33079,plain,
% 9.56/7.14 (v145(constB81) <=> (v146(constB81) | v147(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33078, 27691])).
% 9.56/7.14 tff(33080,plain,
% 9.56/7.14 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)))))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33081,plain,
% 9.56/7.14 ((v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2))))) <=> (v146(constB81) <=> (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33082,plain,
% 9.56/7.14 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)))))),
% 9.56/7.14 inference(monotonicity,[status(thm)],[33081])).
% 9.56/7.14 tff(33083,plain,
% 9.56/7.14 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)))))),
% 9.56/7.14 inference(transitivity,[status(thm)],[33082, 33080])).
% 9.56/7.14 tff(33084,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)))))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33085,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33084, 33083])).
% 9.56/7.14 tff(33086,plain,
% 9.56/7.14 (v146(constB81) <=> (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33085, 27706])).
% 9.56/7.14 tff(33087,plain,
% 9.56/7.14 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0)))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33088,plain,
% 9.56/7.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33089,plain,
% 9.56/7.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33088, 33087])).
% 9.56/7.14 tff(33090,plain,
% 9.56/7.14 (v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33089, 9653, 372])).
% 9.56/7.14 tff(33091,plain,
% 9.56/7.14 ((~(v88(constB81, bitIndex0) <=> v90(constB81, bitIndex0))) | (~v88(constB81, bitIndex0)) | v90(constB81, bitIndex0)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33092,plain,
% 9.56/7.14 (~v88(constB81, bitIndex0)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33091, 16359, 33090])).
% 9.56/7.14 tff(33093,plain,
% 9.56/7.14 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1)))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33094,plain,
% 9.56/7.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33095,plain,
% 9.56/7.14 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33094, 33093])).
% 9.56/7.14 tff(33096,plain,
% 9.56/7.14 (v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33095, 375, 372])).
% 9.56/7.14 tff(33097,plain,
% 9.56/7.14 ((~(v88(constB81, bitIndex1) <=> v90(constB81, bitIndex1))) | (~v88(constB81, bitIndex1)) | v90(constB81, bitIndex1)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33098,plain,
% 9.56/7.14 (~v88(constB81, bitIndex1)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33097, 16390, 33096])).
% 9.56/7.14 tff(33099,plain,
% 9.56/7.14 ((~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33100,plain,
% 9.56/7.14 (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33099, 33098, 33092, 33055])).
% 9.56/7.14 tff(33101,plain,
% 9.56/7.14 ((~(v146(constB81) <=> (~((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))))) | v146(constB81) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33102,plain,
% 9.56/7.14 (v146(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33101, 33100, 33086])).
% 9.56/7.14 tff(33103,plain,
% 9.56/7.14 ((v146(constB81) | v147(constB81)) | (~v146(constB81))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33104,plain,
% 9.56/7.14 (v146(constB81) | v147(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33103, 33102])).
% 9.56/7.14 tff(33105,plain,
% 9.56/7.14 ((~(v145(constB81) <=> (v146(constB81) | v147(constB81)))) | v145(constB81) | (~(v146(constB81) | v147(constB81)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33106,plain,
% 9.56/7.14 (v145(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33105, 33104, 33079])).
% 9.56/7.14 tff(33107,plain,
% 9.56/7.14 ((v145(constB81) | v165(constB81)) | (~v145(constB81))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33108,plain,
% 9.56/7.14 (v145(constB81) | v165(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33107, 33106])).
% 9.56/7.14 tff(33109,plain,
% 9.56/7.14 ((~(v164(constB81) <=> (v145(constB81) | v165(constB81)))) | v164(constB81) | (~(v145(constB81) | v165(constB81)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33110,plain,
% 9.56/7.14 (v164(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33109, 33108, 33077])).
% 9.56/7.14 tff(33111,plain,
% 9.56/7.14 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB81)) | (v161(constB81) <=> v168(constB81)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB81)) | (v161(constB81) <=> v168(constB81)))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33112,plain,
% 9.56/7.14 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB81)) | (v161(constB81) <=> v168(constB81)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33113,plain,
% 9.56/7.14 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB81)) | (v161(constB81) <=> v168(constB81))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33112, 33111])).
% 9.56/7.14 tff(33114,plain,
% 9.56/7.14 ((~v164(constB81)) | (v161(constB81) <=> v168(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33113, 25977])).
% 9.56/7.14 tff(33115,plain,
% 9.56/7.14 (v161(constB81) <=> v168(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33114, 33110])).
% 9.56/7.14 tff(33116,plain,
% 9.56/7.14 ((~(v161(constB81) <=> v168(constB81))) | (~v161(constB81)) | v168(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33117,plain,
% 9.56/7.14 (~v161(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33116, 33115, 33075])).
% 9.56/7.14 tff(33118,plain,
% 9.56/7.14 ((~(v159(constB81) <=> v161(constB81))) | (~v159(constB81)) | v161(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33119,plain,
% 9.56/7.14 ((~(v159(constB81) <=> v161(constB81))) | (~v159(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33118, 33117])).
% 9.56/7.14 tff(33120,plain,
% 9.56/7.14 (~v159(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33119, 33047])).
% 9.56/7.14 tff(33121,plain,
% 9.56/7.14 (((~v184(constB81)) | (~v159(constB81))) | v159(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33122,plain,
% 9.56/7.14 ((~v184(constB81)) | (~v159(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33121, 33120])).
% 9.56/7.14 tff(33123,plain,
% 9.56/7.14 ((~(v187(constB81) <=> (~((~v184(constB81)) | (~v159(constB81)))))) | (~v187(constB81)) | (~((~v184(constB81)) | (~v159(constB81))))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33124,plain,
% 9.56/7.14 (~v187(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33123, 33122, 33045])).
% 9.56/7.14 tff(33125,plain,
% 9.56/7.14 (((~v186(constB81)) | (~v187(constB81))) | v187(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33126,plain,
% 9.56/7.14 ((~v186(constB81)) | (~v187(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33125, 33124])).
% 9.56/7.14 tff(33127,plain,
% 9.56/7.14 ((~(v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81)))))) | (~v185(constB81)) | (~((~v186(constB81)) | (~v187(constB81))))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33128,plain,
% 9.56/7.14 (~v185(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33127, 33126, 33043])).
% 9.56/7.14 tff(33129,plain,
% 9.56/7.14 ((~(v181(constB81) | v185(constB81))) | v181(constB81) | v185(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33130,plain,
% 9.56/7.14 (~(v181(constB81) | v185(constB81))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33129, 33128, 33041])).
% 9.56/7.14 tff(33131,plain,
% 9.56/7.14 ((~(v178(constB81) <=> (v181(constB81) | v185(constB81)))) | (~v178(constB81)) | (v181(constB81) | v185(constB81))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33132,plain,
% 9.56/7.14 (~v178(constB81)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33131, 33130, 32968])).
% 9.56/7.14 tff(33133,plain,
% 9.56/7.14 ((~(v180(constB82) <=> v178(constB81))) | (~v180(constB82)) | v178(constB81)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33134,plain,
% 9.56/7.14 (~v180(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33133, 33132, 32966])).
% 9.56/7.14 tff(33135,plain,
% 9.56/7.14 ((~(v157(constB82) <=> v180(constB82))) | (~v157(constB82)) | v180(constB82)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33136,plain,
% 9.56/7.14 (~v157(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33135, 33134, 32962])).
% 9.56/7.14 tff(33137,plain,
% 9.56/7.14 (((~v157(constB82)) | (~v182(constB82))) | v157(constB82)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33138,plain,
% 9.56/7.14 ((~v157(constB82)) | (~v182(constB82))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33137, 33136])).
% 9.56/7.14 tff(33139,plain,
% 9.56/7.14 ((~(v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82)))))) | (~v181(constB82)) | (~((~v157(constB82)) | (~v182(constB82))))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33140,plain,
% 9.56/7.14 (~v181(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33139, 33138, 32960])).
% 9.56/7.14 tff(33141,plain,
% 9.56/7.14 ((~(v181(constB82) | v185(constB82))) | v181(constB82) | v185(constB82)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33142,plain,
% 9.56/7.14 (~(v181(constB82) | v185(constB82))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33141, 33140, 32953])).
% 9.56/7.14 tff(33143,plain,
% 9.56/7.14 ((~(v178(constB82) <=> (v181(constB82) | v185(constB82)))) | (~v178(constB82)) | (v181(constB82) | v185(constB82))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33144,plain,
% 9.56/7.14 (~v178(constB82)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33143, 33142, 32928])).
% 9.56/7.14 tff(33145,plain,
% 9.56/7.14 ((~(v180(constB83) <=> v178(constB82))) | (~v180(constB83)) | v178(constB82)),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33146,plain,
% 9.56/7.14 (~v180(constB83)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33145, 33144, 32926])).
% 9.56/7.14 tff(33147,plain,
% 9.56/7.14 ($false),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33146, 32922])).
% 9.56/7.14 tff(33148,plain,(~(constB83 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.56/7.14 tff(33149,assumption,(constB157 = VarCurr!0), introduced(assumption)).
% 9.56/7.14 tff(33150,plain,
% 9.56/7.14 (v86(constB157) <=> v86(VarCurr!0)),
% 9.56/7.14 inference(monotonicity,[status(thm)],[33149])).
% 9.56/7.14 tff(33151,plain,
% 9.56/7.14 (v86(VarCurr!0) <=> v86(constB157)),
% 9.56/7.14 inference(symmetry,[status(thm)],[33150])).
% 9.56/7.14 tff(33152,plain,
% 9.56/7.14 ((~v86(VarCurr!0)) <=> (~v86(constB157))),
% 9.56/7.14 inference(monotonicity,[status(thm)],[33151])).
% 9.56/7.14 tff(33153,plain,
% 9.56/7.14 (~v86(constB157)),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[26079, 33152])).
% 9.56/7.14 tff(33154,plain,
% 9.56/7.14 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB157) | (~v142(constB157)))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33155,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB157) | (~v142(constB157)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33156,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB157) | (~v142(constB157))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33155, 33154])).
% 9.56/7.14 tff(33157,plain,
% 9.56/7.14 (v148(constB157) | (~v142(constB157))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33156, 26138])).
% 9.56/7.14 tff(33158,plain,
% 9.56/7.14 (v148(constB157)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33157, 27006])).
% 9.56/7.14 tff(33159,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB157) <=> (v136(constB157) | v145(constB157)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33160,plain,
% 9.56/7.14 (v135(constB157) <=> (v136(constB157) | v145(constB157))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33159, 26150])).
% 9.56/7.14 tff(33161,plain,
% 9.56/7.14 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB157) <=> (v137(constB157) | v142(constB157)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33162,plain,
% 9.56/7.14 (v136(constB157) <=> (v137(constB157) | v142(constB157))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33161, 26159])).
% 9.56/7.14 tff(33163,plain,
% 9.56/7.14 ((v137(constB157) | v142(constB157)) | (~v142(constB157))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33164,plain,
% 9.56/7.14 (v137(constB157) | v142(constB157)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33163, 27006])).
% 9.56/7.14 tff(33165,plain,
% 9.56/7.14 ((~(v136(constB157) <=> (v137(constB157) | v142(constB157)))) | v136(constB157) | (~(v137(constB157) | v142(constB157)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33166,plain,
% 9.56/7.14 (v136(constB157)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33165, 33164, 33162])).
% 9.56/7.14 tff(33167,plain,
% 9.56/7.14 ((v136(constB157) | v145(constB157)) | (~v136(constB157))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33168,plain,
% 9.56/7.14 (v136(constB157) | v145(constB157)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33167, 33166])).
% 9.56/7.14 tff(33169,plain,
% 9.56/7.14 ((~(v135(constB157) <=> (v136(constB157) | v145(constB157)))) | v135(constB157) | (~(v136(constB157) | v145(constB157)))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33170,plain,
% 9.56/7.14 (v135(constB157)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33169, 33168, 33160])).
% 9.56/7.14 tff(33171,plain,
% 9.56/7.14 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB157)) | (v86(constB157) <=> v148(constB157)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB157)) | (v86(constB157) <=> v148(constB157)))),
% 9.56/7.14 inference(rewrite,[status(thm)],[])).
% 9.56/7.14 tff(33172,plain,
% 9.56/7.14 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB157)) | (v86(constB157) <=> v148(constB157)))),
% 9.56/7.14 inference(quant_inst,[status(thm)],[])).
% 9.56/7.14 tff(33173,plain,
% 9.56/7.14 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB157)) | (v86(constB157) <=> v148(constB157))),
% 9.56/7.14 inference(modus_ponens,[status(thm)],[33172, 33171])).
% 9.56/7.14 tff(33174,plain,
% 9.56/7.14 ((~v135(constB157)) | (v86(constB157) <=> v148(constB157))),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33173, 26179])).
% 9.56/7.14 tff(33175,plain,
% 9.56/7.14 (v86(constB157) <=> v148(constB157)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33174, 33170])).
% 9.56/7.14 tff(33176,plain,
% 9.56/7.14 ((~(v86(constB157) <=> v148(constB157))) | v86(constB157) | (~v148(constB157))),
% 9.56/7.14 inference(tautology,[status(thm)],[])).
% 9.56/7.14 tff(33177,plain,
% 9.56/7.14 (v86(constB157)),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33176, 33175, 33158])).
% 9.56/7.14 tff(33178,plain,
% 9.56/7.14 ($false),
% 9.56/7.14 inference(unit_resolution,[status(thm)],[33177, 33153])).
% 9.56/7.14 tff(33179,plain,(~(constB157 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.56/7.14 tff(33180,assumption,(constB189 = VarCurr!0), introduced(assumption)).
% 9.56/7.15 tff(33181,plain,
% 9.56/7.15 (v180(constB189) <=> v180(VarCurr!0)),
% 9.56/7.15 inference(monotonicity,[status(thm)],[33180])).
% 9.56/7.15 tff(33182,plain,
% 9.56/7.15 (v180(VarCurr!0) <=> v180(constB189)),
% 9.56/7.15 inference(symmetry,[status(thm)],[33181])).
% 9.56/7.15 tff(33183,plain,
% 9.56/7.15 (v180(constB189)),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[59, 33182])).
% 9.56/7.15 tff(33184,plain,
% 9.56/7.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB188, constB189)) | (v180(constB189) <=> v178(constB188)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB188, constB189)) | (v180(constB189) <=> v178(constB188)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33185,plain,
% 9.56/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB188, constB189)) | (v180(constB189) <=> v178(constB188)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33186,plain,
% 9.56/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB188, constB189)) | (v180(constB189) <=> v178(constB188))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33185, 33184])).
% 9.56/7.15 tff(33187,plain,
% 9.56/7.15 (v180(constB189) <=> v178(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33186, 929, 70])).
% 9.56/7.15 tff(33188,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB188) <=> (v181(constB188) | v185(constB188)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33189,plain,
% 9.56/7.15 (v178(constB188) <=> (v181(constB188) | v185(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33188, 84])).
% 9.56/7.15 tff(33190,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB188) <=> (~((~v186(constB188)) | (~v187(constB188)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33191,plain,
% 9.56/7.15 (v185(constB188) <=> (~((~v186(constB188)) | (~v187(constB188))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33190, 96])).
% 9.56/7.15 tff(33192,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB188) <=> (~((~v184(constB188)) | (~v159(constB188)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33193,plain,
% 9.56/7.15 (v187(constB188) <=> (~((~v184(constB188)) | (~v159(constB188))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33192, 108])).
% 9.56/7.15 tff(33194,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33195,plain,
% 9.56/7.15 (v184(constB188) <=> (~((~v39(constB188)) | (~v9(constB188))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33194, 120])).
% 9.56/7.15 tff(33196,plain,
% 9.56/7.15 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB188)) <=> v1(constB188))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33197,plain,
% 9.56/7.15 ((~v39(constB188)) <=> v1(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33196, 129])).
% 9.56/7.15 tff(33198,plain,
% 9.56/7.15 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188)) | (~v1(constB188))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33199,plain,
% 9.56/7.15 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33198, 991])).
% 9.56/7.15 tff(33200,plain,
% 9.56/7.15 (~v39(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33199, 33197])).
% 9.56/7.15 tff(33201,plain,
% 9.56/7.15 (((~v39(constB188)) | (~v9(constB188))) | v39(constB188)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33202,plain,
% 9.56/7.15 ((~v39(constB188)) | (~v9(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33201, 33200])).
% 9.56/7.15 tff(33203,plain,
% 9.56/7.15 ((~(v184(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v184(constB188)) | (~((~v39(constB188)) | (~v9(constB188))))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33204,plain,
% 9.56/7.15 ((~(v184(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v184(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33203, 33202])).
% 9.56/7.15 tff(33205,plain,
% 9.56/7.15 (~v184(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33204, 33195])).
% 9.56/7.15 tff(33206,plain,
% 9.56/7.15 (((~v184(constB188)) | (~v159(constB188))) | v184(constB188)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33207,plain,
% 9.56/7.15 ((~v184(constB188)) | (~v159(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33206, 33205])).
% 9.56/7.15 tff(33208,plain,
% 9.56/7.15 ((~(v187(constB188) <=> (~((~v184(constB188)) | (~v159(constB188)))))) | (~v187(constB188)) | (~((~v184(constB188)) | (~v159(constB188))))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33209,plain,
% 9.56/7.15 ((~(v187(constB188) <=> (~((~v184(constB188)) | (~v159(constB188)))))) | (~v187(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33208, 33207])).
% 9.56/7.15 tff(33210,plain,
% 9.56/7.15 (~v187(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33209, 33193])).
% 9.56/7.15 tff(33211,plain,
% 9.56/7.15 (((~v186(constB188)) | (~v187(constB188))) | v187(constB188)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33212,plain,
% 9.56/7.15 ((~v186(constB188)) | (~v187(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33211, 33210])).
% 9.56/7.15 tff(33213,plain,
% 9.56/7.15 ((~(v185(constB188) <=> (~((~v186(constB188)) | (~v187(constB188)))))) | (~v185(constB188)) | (~((~v186(constB188)) | (~v187(constB188))))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33214,plain,
% 9.56/7.15 (~v185(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33213, 33212, 33191])).
% 9.56/7.15 tff(33215,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188))))))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33216,plain,
% 9.56/7.15 ((v181(constB188) <=> (~((~v182(constB188)) | (~v157(constB188))))) <=> (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188)))))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33217,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v182(constB188)) | (~v157(constB188)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188))))))),
% 9.56/7.15 inference(monotonicity,[status(thm)],[33216])).
% 9.56/7.15 tff(33218,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v182(constB188)) | (~v157(constB188)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188))))))),
% 9.56/7.15 inference(transitivity,[status(thm)],[33217, 33215])).
% 9.56/7.15 tff(33219,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v182(constB188)) | (~v157(constB188)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33220,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188)))))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33219, 33218])).
% 9.56/7.15 tff(33221,plain,
% 9.56/7.15 (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33220, 161])).
% 9.56/7.15 tff(33222,plain,
% 9.56/7.15 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB188) <=> v180(constB188))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33223,plain,
% 9.56/7.15 (v157(constB188) <=> v180(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33222, 13])).
% 9.56/7.15 tff(33224,plain,
% 9.56/7.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB187, constB188)) | (v180(constB188) <=> v178(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB187, constB188)) | (v180(constB188) <=> v178(constB187)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33225,plain,
% 9.56/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB187, constB188)) | (v180(constB188) <=> v178(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33226,plain,
% 9.56/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB187, constB188)) | (v180(constB188) <=> v178(constB187))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33225, 33224])).
% 9.56/7.15 tff(33227,plain,
% 9.56/7.15 (v180(constB188) <=> v178(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33226, 961, 70])).
% 9.56/7.15 tff(33228,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB187) <=> (v181(constB187) | v185(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33229,plain,
% 9.56/7.15 (v178(constB187) <=> (v181(constB187) | v185(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33228, 84])).
% 9.56/7.15 tff(33230,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187))))))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33231,plain,
% 9.56/7.15 ((v181(constB187) <=> (~((~v182(constB187)) | (~v157(constB187))))) <=> (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187)))))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33232,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v182(constB187)) | (~v157(constB187)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187))))))),
% 9.56/7.15 inference(monotonicity,[status(thm)],[33231])).
% 9.56/7.15 tff(33233,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v182(constB187)) | (~v157(constB187)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187))))))),
% 9.56/7.15 inference(transitivity,[status(thm)],[33232, 33230])).
% 9.56/7.15 tff(33234,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v182(constB187)) | (~v157(constB187)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33235,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187)))))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33234, 33233])).
% 9.56/7.15 tff(33236,plain,
% 9.56/7.15 (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33235, 161])).
% 9.56/7.15 tff(33237,plain,
% 9.56/7.15 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB187)) <=> v183(constB187))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33238,plain,
% 9.56/7.15 ((~v182(constB187)) <=> v183(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33237, 193])).
% 9.56/7.15 tff(33239,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB187) <=> (v184(constB187) | v26(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33240,plain,
% 9.56/7.15 (v183(constB187) <=> (v184(constB187) | v26(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33239, 202])).
% 9.56/7.15 tff(33241,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB187) <=> (~((~v39(constB187)) | (~v9(constB187)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33242,plain,
% 9.56/7.15 (v184(constB187) <=> (~((~v39(constB187)) | (~v9(constB187))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33241, 120])).
% 9.56/7.15 tff(33243,plain,
% 9.56/7.15 (((~![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)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33244,plain,
% 9.56/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33245,plain,
% 9.56/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33244, 33243])).
% 9.56/7.15 tff(33246,plain,
% 9.56/7.15 (v13(constB188) <=> v9(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33245, 961, 216])).
% 9.56/7.15 tff(33247,plain,
% 9.56/7.15 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB188) <=> v13(constB188))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33248,plain,
% 9.56/7.15 (v6(constB188) <=> v13(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33247, 230])).
% 9.56/7.15 tff(33249,plain,
% 9.56/7.15 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB188)) <=> v6(constB188))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33250,plain,
% 9.56/7.15 ((~v21(constB188)) <=> v6(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33249, 239])).
% 9.56/7.15 tff(33251,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB188) <=> (v20(constB188) | v21(constB188)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33252,plain,
% 9.56/7.15 (v19(constB188) <=> (v20(constB188) | v21(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33251, 248])).
% 9.56/7.15 tff(33253,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33254,plain,
% 9.56/7.15 (v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33253, 260])).
% 9.56/7.15 tff(33255,plain,
% 9.56/7.15 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB188)) <=> v18(constB188))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33256,plain,
% 9.56/7.15 ((~v4(constB188)) <=> v18(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33255, 269])).
% 9.56/7.15 tff(33257,plain,
% 9.56/7.15 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB188)),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33258,plain,
% 9.56/7.15 (v4(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33257, 278])).
% 9.56/7.15 tff(33259,plain,
% 9.56/7.15 ((~((~v4(constB188)) <=> v18(constB188))) | (~v4(constB188)) | (~v18(constB188))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33260,plain,
% 9.56/7.15 (~v18(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33259, 33258, 33256])).
% 9.56/7.15 tff(33261,plain,
% 9.56/7.15 ((~(v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188)))))) | v18(constB188) | ((~v19(constB188)) | (~v22(constB188)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33262,plain,
% 9.56/7.15 ((~v19(constB188)) | (~v22(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33261, 33260, 33254])).
% 9.56/7.15 tff(33263,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB188) <=> (v1(constB188) | v6(constB188)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33264,plain,
% 9.56/7.15 (v22(constB188) <=> (v1(constB188) | v6(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33263, 291])).
% 9.56/7.15 tff(33265,plain,
% 9.56/7.15 ((v1(constB188) | v6(constB188)) | (~v1(constB188))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33266,plain,
% 9.56/7.15 (v1(constB188) | v6(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33265, 991])).
% 9.56/7.15 tff(33267,plain,
% 9.56/7.15 ((~(v22(constB188) <=> (v1(constB188) | v6(constB188)))) | v22(constB188) | (~(v1(constB188) | v6(constB188)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33268,plain,
% 9.56/7.15 ((~(v22(constB188) <=> (v1(constB188) | v6(constB188)))) | v22(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33267, 33266])).
% 9.56/7.15 tff(33269,plain,
% 9.56/7.15 (v22(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33268, 33264])).
% 9.56/7.15 tff(33270,plain,
% 9.56/7.15 ((~((~v19(constB188)) | (~v22(constB188)))) | (~v19(constB188)) | (~v22(constB188))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33271,plain,
% 9.56/7.15 ((~((~v19(constB188)) | (~v22(constB188)))) | (~v19(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33270, 33269])).
% 9.56/7.15 tff(33272,plain,
% 9.56/7.15 (~v19(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33271, 33262])).
% 9.56/7.15 tff(33273,plain,
% 9.56/7.15 ((~(v19(constB188) <=> (v20(constB188) | v21(constB188)))) | v19(constB188) | (~(v20(constB188) | v21(constB188)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33274,plain,
% 9.56/7.15 (~(v20(constB188) | v21(constB188))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33273, 33272, 33252])).
% 9.56/7.15 tff(33275,plain,
% 9.56/7.15 ((v20(constB188) | v21(constB188)) | (~v21(constB188))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33276,plain,
% 9.56/7.15 (~v21(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33275, 33274])).
% 9.56/7.15 tff(33277,plain,
% 9.56/7.15 ((~((~v21(constB188)) <=> v6(constB188))) | v21(constB188) | v6(constB188)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33278,plain,
% 9.56/7.15 (v6(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33277, 33276, 33250])).
% 9.56/7.15 tff(33279,plain,
% 9.56/7.15 ((~(v6(constB188) <=> v13(constB188))) | (~v6(constB188)) | v13(constB188)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33280,plain,
% 9.56/7.15 (v13(constB188)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33279, 33278, 33248])).
% 9.56/7.15 tff(33281,plain,
% 9.56/7.15 ((~(v13(constB188) <=> v9(constB187))) | (~v13(constB188)) | v9(constB187)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33282,plain,
% 9.56/7.15 (v9(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33281, 33280, 33246])).
% 9.56/7.15 tff(33283,plain,
% 9.56/7.15 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB187)) <=> v1(constB187))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33284,plain,
% 9.56/7.15 ((~v39(constB187)) <=> v1(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33283, 129])).
% 9.56/7.15 tff(33285,plain,
% 9.56/7.15 ((~((~v39(constB187)) <=> v1(constB187))) | v39(constB187) | v1(constB187)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33286,plain,
% 9.56/7.15 ((~((~v39(constB187)) <=> v1(constB187))) | v39(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33285, 983])).
% 9.56/7.15 tff(33287,plain,
% 9.56/7.15 (v39(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33286, 33284])).
% 9.56/7.15 tff(33288,plain,
% 9.56/7.15 ((~((~v39(constB187)) | (~v9(constB187)))) | (~v39(constB187)) | (~v9(constB187))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33289,plain,
% 9.56/7.15 ((~((~v39(constB187)) | (~v9(constB187)))) | (~v9(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33288, 33287])).
% 9.56/7.15 tff(33290,plain,
% 9.56/7.15 (~((~v39(constB187)) | (~v9(constB187)))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33289, 33282])).
% 9.56/7.15 tff(33291,plain,
% 9.56/7.15 ((~(v184(constB187) <=> (~((~v39(constB187)) | (~v9(constB187)))))) | v184(constB187) | ((~v39(constB187)) | (~v9(constB187)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33292,plain,
% 9.56/7.15 (v184(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33291, 33290, 33242])).
% 9.56/7.15 tff(33293,plain,
% 9.56/7.15 ((v184(constB187) | v26(constB187)) | (~v184(constB187))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33294,plain,
% 9.56/7.15 (v184(constB187) | v26(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33293, 33292])).
% 9.56/7.15 tff(33295,plain,
% 9.56/7.15 ((~(v183(constB187) <=> (v184(constB187) | v26(constB187)))) | v183(constB187) | (~(v184(constB187) | v26(constB187)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33296,plain,
% 9.56/7.15 (v183(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33295, 33294, 33240])).
% 9.56/7.15 tff(33297,plain,
% 9.56/7.15 ((~((~v182(constB187)) <=> v183(constB187))) | (~v182(constB187)) | (~v183(constB187))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33298,plain,
% 9.56/7.15 (~v182(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33297, 33296, 33238])).
% 9.56/7.15 tff(33299,plain,
% 9.56/7.15 (((~v157(constB187)) | (~v182(constB187))) | v182(constB187)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33300,plain,
% 9.56/7.15 ((~v157(constB187)) | (~v182(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33299, 33298])).
% 9.56/7.15 tff(33301,plain,
% 9.56/7.15 ((~(v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187)))))) | (~v181(constB187)) | (~((~v157(constB187)) | (~v182(constB187))))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33302,plain,
% 9.56/7.15 (~v181(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33301, 33300, 33236])).
% 9.56/7.15 tff(33303,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB187) <=> (~((~v186(constB187)) | (~v187(constB187)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33304,plain,
% 9.56/7.15 (v185(constB187) <=> (~((~v186(constB187)) | (~v187(constB187))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33303, 96])).
% 9.56/7.15 tff(33305,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB187) <=> (~((~v184(constB187)) | (~v159(constB187)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33306,plain,
% 9.56/7.15 (v187(constB187) <=> (~((~v184(constB187)) | (~v159(constB187))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33305, 108])).
% 9.56/7.15 tff(33307,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB187) <=> v161(constB187))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33308,plain,
% 9.56/7.15 (v159(constB187) <=> v161(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33307, 345])).
% 9.56/7.15 tff(33309,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB187) <=> (~(v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33310,plain,
% 9.56/7.15 (v139(constB187) <=> (~(v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2)))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33309, 360])).
% 9.56/7.15 tff(33311,plain,
% 9.56/7.15 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB187, bitIndex1) <=> v90(constB187, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB187, bitIndex1) <=> v90(constB187, bitIndex1)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33312,plain,
% 9.56/7.15 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB187, bitIndex1) <=> v90(constB187, bitIndex1)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33313,plain,
% 9.56/7.15 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB187, bitIndex1) <=> v90(constB187, bitIndex1))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33312, 33311])).
% 9.56/7.15 tff(33314,plain,
% 9.56/7.15 (v88(constB187, bitIndex1) <=> v90(constB187, bitIndex1)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33313, 375, 372])).
% 9.56/7.15 tff(33315,plain,
% 9.56/7.15 ((~(v88(constB187, bitIndex1) <=> v90(constB187, bitIndex1))) | v88(constB187, bitIndex1) | (~v90(constB187, bitIndex1))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33316,plain,
% 9.56/7.15 (v88(constB187, bitIndex1)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33315, 25020, 33314])).
% 9.56/7.15 tff(33317,plain,
% 9.56/7.15 ((v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2)) | (~v88(constB187, bitIndex1))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33318,plain,
% 9.56/7.15 (v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33317, 33316])).
% 9.56/7.15 tff(33319,plain,
% 9.56/7.15 ((~(v139(constB187) <=> (~(v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2))))) | (~v139(constB187)) | (~(v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33320,plain,
% 9.56/7.15 (~v139(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33319, 33318, 33310])).
% 9.56/7.15 tff(33321,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0))))))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33322,plain,
% 9.56/7.15 ((v140(constB187) <=> (~(v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))))) <=> (v140(constB187) <=> (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)))))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33323,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0))))))),
% 9.56/7.15 inference(monotonicity,[status(thm)],[33322])).
% 9.56/7.15 tff(33324,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0))))))),
% 9.56/7.15 inference(transitivity,[status(thm)],[33323, 33321])).
% 9.56/7.15 tff(33325,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33326,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)))))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33325, 33324])).
% 9.56/7.15 tff(33327,plain,
% 9.56/7.15 (v140(constB187) <=> (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33326, 25795])).
% 9.56/7.15 tff(33328,plain,
% 9.56/7.15 ((v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0))) | (~v88(constB187, bitIndex1))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33329,plain,
% 9.56/7.15 (v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33328, 33316])).
% 9.56/7.15 tff(33330,plain,
% 9.56/7.15 ((~(v140(constB187) <=> (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)))))) | (~v140(constB187)) | (~(v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0))))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33331,plain,
% 9.56/7.15 (~v140(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33330, 33329, 33327])).
% 9.56/7.15 tff(33332,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33333,plain,
% 9.56/7.15 ((v140(constB187) | v139(constB187) | (~v168(constB187))) <=> (v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33334,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v168(constB187))))),
% 9.56/7.15 inference(monotonicity,[status(thm)],[33333])).
% 9.56/7.15 tff(33335,plain,
% 9.56/7.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 9.56/7.15 inference(transitivity,[status(thm)],[33334, 33332])).
% 9.56/7.15 tff(33336,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v168(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33337,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 9.56/7.15 tff(33338,plain,
% 9.56/7.15 (v139(constB187) | v140(constB187) | (~v168(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33337, 25819])).
% 9.56/7.15 tff(33339,plain,
% 9.56/7.15 (~v168(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33338, 33331, 33320])).
% 9.56/7.15 tff(33340,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB187) <=> (v145(constB187) | v165(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33341,plain,
% 9.56/7.15 (v164(constB187) <=> (v145(constB187) | v165(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33340, 25834])).
% 9.56/7.15 tff(33342,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB187) <=> (v142(constB187) | v166(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33343,plain,
% 9.56/7.15 (v165(constB187) <=> (v142(constB187) | v166(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33342, 25846])).
% 9.56/7.15 tff(33344,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB187) <=> (v141(constB187) | v167(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33345,plain,
% 9.56/7.15 (v166(constB187) <=> (v141(constB187) | v167(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33344, 26362])).
% 9.56/7.15 tff(33346,plain,
% 9.56/7.15 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)))))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33347,plain,
% 9.56/7.15 (v141(constB187) <=> (~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0))))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33346, 26377])).
% 9.56/7.15 tff(33348,plain,
% 9.56/7.15 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB187, bitIndex2) <=> v90(constB187, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB187, bitIndex2) <=> v90(constB187, bitIndex2)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33349,plain,
% 9.56/7.15 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB187, bitIndex2) <=> v90(constB187, bitIndex2)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33350,plain,
% 9.56/7.15 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB187, bitIndex2) <=> v90(constB187, bitIndex2))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33349, 33348])).
% 9.56/7.15 tff(33351,plain,
% 9.56/7.15 (v88(constB187, bitIndex2) <=> v90(constB187, bitIndex2)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33350, 648, 372])).
% 9.56/7.15 tff(33352,plain,
% 9.56/7.15 ((~(v88(constB187, bitIndex2) <=> v90(constB187, bitIndex2))) | (~v88(constB187, bitIndex2)) | v90(constB187, bitIndex2)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33353,plain,
% 9.56/7.15 (~v88(constB187, bitIndex2)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33352, 24958, 33351])).
% 9.56/7.15 tff(33354,plain,
% 9.56/7.15 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB187, bitIndex0) <=> v90(constB187, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB187, bitIndex0) <=> v90(constB187, bitIndex0)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33355,plain,
% 9.56/7.15 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB187, bitIndex0) <=> v90(constB187, bitIndex0)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33356,plain,
% 9.56/7.15 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB187, bitIndex0) <=> v90(constB187, bitIndex0))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33355, 33354])).
% 9.56/7.15 tff(33357,plain,
% 9.56/7.15 (v88(constB187, bitIndex0) <=> v90(constB187, bitIndex0)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33356, 9653, 372])).
% 9.56/7.15 tff(33358,plain,
% 9.56/7.15 ((~(v88(constB187, bitIndex0) <=> v90(constB187, bitIndex0))) | v88(constB187, bitIndex0) | (~v90(constB187, bitIndex0))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33359,plain,
% 9.56/7.15 (v88(constB187, bitIndex0)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33358, 24989, 33357])).
% 9.56/7.15 tff(33360,plain,
% 9.56/7.15 ((~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)))) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33361,plain,
% 9.56/7.15 (~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33360, 33316, 33359, 33353])).
% 9.56/7.15 tff(33362,plain,
% 9.56/7.15 ((~(v141(constB187) <=> (~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)))))) | v141(constB187) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33363,plain,
% 9.56/7.15 (v141(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33362, 33361, 33347])).
% 9.56/7.15 tff(33364,plain,
% 9.56/7.15 ((v141(constB187) | v167(constB187)) | (~v141(constB187))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33365,plain,
% 9.56/7.15 (v141(constB187) | v167(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33364, 33363])).
% 9.56/7.15 tff(33366,plain,
% 9.56/7.15 ((~(v166(constB187) <=> (v141(constB187) | v167(constB187)))) | v166(constB187) | (~(v141(constB187) | v167(constB187)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33367,plain,
% 9.56/7.15 (v166(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33366, 33365, 33345])).
% 9.56/7.15 tff(33368,plain,
% 9.56/7.15 ((v142(constB187) | v166(constB187)) | (~v166(constB187))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33369,plain,
% 9.56/7.15 (v142(constB187) | v166(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33368, 33367])).
% 9.56/7.15 tff(33370,plain,
% 9.56/7.15 ((~(v165(constB187) <=> (v142(constB187) | v166(constB187)))) | v165(constB187) | (~(v142(constB187) | v166(constB187)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33371,plain,
% 9.56/7.15 (v165(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33370, 33369, 33343])).
% 9.56/7.15 tff(33372,plain,
% 9.56/7.15 ((v145(constB187) | v165(constB187)) | (~v165(constB187))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33373,plain,
% 9.56/7.15 (v145(constB187) | v165(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33372, 33371])).
% 9.56/7.15 tff(33374,plain,
% 9.56/7.15 ((~(v164(constB187) <=> (v145(constB187) | v165(constB187)))) | v164(constB187) | (~(v145(constB187) | v165(constB187)))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33375,plain,
% 9.56/7.15 (v164(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33374, 33373, 33341])).
% 9.56/7.15 tff(33376,plain,
% 9.56/7.15 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB187)) | (v161(constB187) <=> v168(constB187)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB187)) | (v161(constB187) <=> v168(constB187)))),
% 9.56/7.15 inference(rewrite,[status(thm)],[])).
% 9.56/7.15 tff(33377,plain,
% 9.56/7.15 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB187)) | (v161(constB187) <=> v168(constB187)))),
% 9.56/7.15 inference(quant_inst,[status(thm)],[])).
% 9.56/7.15 tff(33378,plain,
% 9.56/7.15 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB187)) | (v161(constB187) <=> v168(constB187))),
% 9.56/7.15 inference(modus_ponens,[status(thm)],[33377, 33376])).
% 9.56/7.15 tff(33379,plain,
% 9.56/7.15 ((~v164(constB187)) | (v161(constB187) <=> v168(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33378, 25977])).
% 9.56/7.15 tff(33380,plain,
% 9.56/7.15 (v161(constB187) <=> v168(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33379, 33375])).
% 9.56/7.15 tff(33381,plain,
% 9.56/7.15 ((~(v161(constB187) <=> v168(constB187))) | (~v161(constB187)) | v168(constB187)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33382,plain,
% 9.56/7.15 (~v161(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33381, 33380, 33339])).
% 9.56/7.15 tff(33383,plain,
% 9.56/7.15 ((~(v159(constB187) <=> v161(constB187))) | (~v159(constB187)) | v161(constB187)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33384,plain,
% 9.56/7.15 ((~(v159(constB187) <=> v161(constB187))) | (~v159(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33383, 33382])).
% 9.56/7.15 tff(33385,plain,
% 9.56/7.15 (~v159(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33384, 33308])).
% 9.56/7.15 tff(33386,plain,
% 9.56/7.15 (((~v184(constB187)) | (~v159(constB187))) | v159(constB187)),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33387,plain,
% 9.56/7.15 ((~v184(constB187)) | (~v159(constB187))),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33386, 33385])).
% 9.56/7.15 tff(33388,plain,
% 9.56/7.15 ((~(v187(constB187) <=> (~((~v184(constB187)) | (~v159(constB187)))))) | (~v187(constB187)) | (~((~v184(constB187)) | (~v159(constB187))))),
% 9.56/7.15 inference(tautology,[status(thm)],[])).
% 9.56/7.15 tff(33389,plain,
% 9.56/7.15 (~v187(constB187)),
% 9.56/7.15 inference(unit_resolution,[status(thm)],[33388, 33387, 33306])).
% 9.56/7.16 tff(33390,plain,
% 9.56/7.16 (((~v186(constB187)) | (~v187(constB187))) | v187(constB187)),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33391,plain,
% 9.56/7.16 ((~v186(constB187)) | (~v187(constB187))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33390, 33389])).
% 9.56/7.16 tff(33392,plain,
% 9.56/7.16 ((~(v185(constB187) <=> (~((~v186(constB187)) | (~v187(constB187)))))) | (~v185(constB187)) | (~((~v186(constB187)) | (~v187(constB187))))),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33393,plain,
% 9.56/7.16 (~v185(constB187)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33392, 33391, 33304])).
% 9.56/7.16 tff(33394,plain,
% 9.56/7.16 ((~(v181(constB187) | v185(constB187))) | v181(constB187) | v185(constB187)),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33395,plain,
% 9.56/7.16 (~(v181(constB187) | v185(constB187))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33394, 33393, 33302])).
% 9.56/7.16 tff(33396,plain,
% 9.56/7.16 ((~(v178(constB187) <=> (v181(constB187) | v185(constB187)))) | (~v178(constB187)) | (v181(constB187) | v185(constB187))),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33397,plain,
% 9.56/7.16 (~v178(constB187)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33396, 33395, 33229])).
% 9.56/7.16 tff(33398,plain,
% 9.56/7.16 ((~(v180(constB188) <=> v178(constB187))) | (~v180(constB188)) | v178(constB187)),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33399,plain,
% 9.56/7.16 (~v180(constB188)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33398, 33397, 33227])).
% 9.56/7.16 tff(33400,plain,
% 9.56/7.16 ((~(v157(constB188) <=> v180(constB188))) | (~v157(constB188)) | v180(constB188)),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33401,plain,
% 9.56/7.16 (~v157(constB188)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33400, 33399, 33223])).
% 9.56/7.16 tff(33402,plain,
% 9.56/7.16 (((~v157(constB188)) | (~v182(constB188))) | v157(constB188)),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33403,plain,
% 9.56/7.16 ((~v157(constB188)) | (~v182(constB188))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33402, 33401])).
% 9.56/7.16 tff(33404,plain,
% 9.56/7.16 ((~(v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188)))))) | (~v181(constB188)) | (~((~v157(constB188)) | (~v182(constB188))))),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33405,plain,
% 9.56/7.16 (~v181(constB188)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33404, 33403, 33221])).
% 9.56/7.16 tff(33406,plain,
% 9.56/7.16 ((~(v181(constB188) | v185(constB188))) | v181(constB188) | v185(constB188)),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33407,plain,
% 9.56/7.16 (~(v181(constB188) | v185(constB188))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33406, 33405, 33214])).
% 9.56/7.16 tff(33408,plain,
% 9.56/7.16 ((~(v178(constB188) <=> (v181(constB188) | v185(constB188)))) | (~v178(constB188)) | (v181(constB188) | v185(constB188))),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33409,plain,
% 9.56/7.16 (~v178(constB188)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33408, 33407, 33189])).
% 9.56/7.16 tff(33410,plain,
% 9.56/7.16 ((~(v180(constB189) <=> v178(constB188))) | (~v180(constB189)) | v178(constB188)),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33411,plain,
% 9.56/7.16 (~v180(constB189)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33410, 33409, 33187])).
% 9.56/7.16 tff(33412,plain,
% 9.56/7.16 ($false),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33411, 33183])).
% 9.56/7.16 tff(33413,plain,(~(constB189 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.56/7.16 tff(33414,assumption,(constB187 = VarCurr!0), introduced(assumption)).
% 9.56/7.16 tff(33415,plain,
% 9.56/7.16 (v180(constB187) <=> v180(VarCurr!0)),
% 9.56/7.16 inference(monotonicity,[status(thm)],[33414])).
% 9.56/7.16 tff(33416,plain,
% 9.56/7.16 (v180(VarCurr!0) <=> v180(constB187)),
% 9.56/7.16 inference(symmetry,[status(thm)],[33415])).
% 9.56/7.16 tff(33417,plain,
% 9.56/7.16 (v180(constB187)),
% 9.56/7.16 inference(modus_ponens,[status(thm)],[59, 33416])).
% 9.56/7.16 tff(33418,plain,
% 9.56/7.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186)))),
% 9.56/7.16 inference(rewrite,[status(thm)],[])).
% 9.56/7.16 tff(33419,plain,
% 9.56/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186)))),
% 9.56/7.16 inference(quant_inst,[status(thm)],[])).
% 9.56/7.16 tff(33420,plain,
% 9.56/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186))),
% 9.56/7.16 inference(modus_ponens,[status(thm)],[33419, 33418])).
% 9.56/7.16 tff(33421,plain,
% 9.56/7.16 (v180(constB187) <=> v178(constB186)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33420, 1035, 70])).
% 9.56/7.16 tff(33422,plain,
% 9.56/7.16 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB186) <=> (v181(constB186) | v185(constB186)))),
% 9.56/7.16 inference(quant_inst,[status(thm)],[])).
% 9.56/7.16 tff(33423,plain,
% 9.56/7.16 (v178(constB186) <=> (v181(constB186) | v185(constB186))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33422, 84])).
% 9.56/7.16 tff(33424,plain,
% 9.56/7.16 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186)))))),
% 9.56/7.16 inference(quant_inst,[status(thm)],[])).
% 9.56/7.16 tff(33425,plain,
% 9.56/7.16 (v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186))))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33424, 96])).
% 9.56/7.16 tff(33426,plain,
% 9.56/7.16 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB186) <=> (~((~v184(constB186)) | (~v159(constB186)))))),
% 9.56/7.16 inference(quant_inst,[status(thm)],[])).
% 9.56/7.16 tff(33427,plain,
% 9.56/7.16 (v187(constB186) <=> (~((~v184(constB186)) | (~v159(constB186))))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33426, 108])).
% 9.56/7.16 tff(33428,plain,
% 9.56/7.16 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))),
% 9.56/7.16 inference(quant_inst,[status(thm)],[])).
% 9.56/7.16 tff(33429,plain,
% 9.56/7.16 (v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186))))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33428, 120])).
% 9.56/7.16 tff(33430,plain,
% 9.56/7.16 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB186)) <=> v1(constB186))),
% 9.56/7.16 inference(quant_inst,[status(thm)],[])).
% 9.56/7.16 tff(33431,plain,
% 9.56/7.16 ((~v39(constB186)) <=> v1(constB186)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33430, 129])).
% 9.56/7.16 tff(33432,plain,
% 9.56/7.16 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186)) | (~v1(constB186))),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33433,plain,
% 9.56/7.16 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33432, 1097])).
% 9.56/7.16 tff(33434,plain,
% 9.56/7.16 (~v39(constB186)),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33433, 33431])).
% 9.56/7.16 tff(33435,plain,
% 9.56/7.16 (((~v39(constB186)) | (~v9(constB186))) | v39(constB186)),
% 9.56/7.16 inference(tautology,[status(thm)],[])).
% 9.56/7.16 tff(33436,plain,
% 9.56/7.16 ((~v39(constB186)) | (~v9(constB186))),
% 9.56/7.16 inference(unit_resolution,[status(thm)],[33435, 33434])).
% 9.56/7.16 tff(33437,plain,
% 9.56/7.16 ((~(v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v184(constB186)) | (~((~v39(constB186)) | (~v9(constB186))))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33438,plain,
% 9.58/7.16 ((~(v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v184(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33437, 33436])).
% 9.58/7.16 tff(33439,plain,
% 9.58/7.16 (~v184(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33438, 33429])).
% 9.58/7.16 tff(33440,plain,
% 9.58/7.16 (((~v184(constB186)) | (~v159(constB186))) | v184(constB186)),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33441,plain,
% 9.58/7.16 ((~v184(constB186)) | (~v159(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33440, 33439])).
% 9.58/7.16 tff(33442,plain,
% 9.58/7.16 ((~(v187(constB186) <=> (~((~v184(constB186)) | (~v159(constB186)))))) | (~v187(constB186)) | (~((~v184(constB186)) | (~v159(constB186))))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33443,plain,
% 9.58/7.16 ((~(v187(constB186) <=> (~((~v184(constB186)) | (~v159(constB186)))))) | (~v187(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33442, 33441])).
% 9.58/7.16 tff(33444,plain,
% 9.58/7.16 (~v187(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33443, 33427])).
% 9.58/7.16 tff(33445,plain,
% 9.58/7.16 (((~v186(constB186)) | (~v187(constB186))) | v187(constB186)),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33446,plain,
% 9.58/7.16 ((~v186(constB186)) | (~v187(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33445, 33444])).
% 9.58/7.16 tff(33447,plain,
% 9.58/7.16 ((~(v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186)))))) | (~v185(constB186)) | (~((~v186(constB186)) | (~v187(constB186))))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33448,plain,
% 9.58/7.16 (~v185(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33447, 33446, 33425])).
% 9.58/7.16 tff(33449,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186))))))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33450,plain,
% 9.58/7.16 ((v181(constB186) <=> (~((~v182(constB186)) | (~v157(constB186))))) <=> (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186)))))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33451,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v157(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186))))))),
% 9.58/7.16 inference(monotonicity,[status(thm)],[33450])).
% 9.58/7.16 tff(33452,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v157(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186))))))),
% 9.58/7.16 inference(transitivity,[status(thm)],[33451, 33449])).
% 9.58/7.16 tff(33453,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v157(constB186)))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33454,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186)))))),
% 9.58/7.16 inference(modus_ponens,[status(thm)],[33453, 33452])).
% 9.58/7.16 tff(33455,plain,
% 9.58/7.16 (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186))))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33454, 161])).
% 9.58/7.16 tff(33456,plain,
% 9.58/7.16 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB186) <=> v180(constB186))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33457,plain,
% 9.58/7.16 (v157(constB186) <=> v180(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33456, 13])).
% 9.58/7.16 tff(33458,plain,
% 9.58/7.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185)))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33459,plain,
% 9.58/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33460,plain,
% 9.58/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185))),
% 9.58/7.16 inference(modus_ponens,[status(thm)],[33459, 33458])).
% 9.58/7.16 tff(33461,plain,
% 9.58/7.16 (v180(constB186) <=> v178(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33460, 1067, 70])).
% 9.58/7.16 tff(33462,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB185) <=> (v181(constB185) | v185(constB185)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33463,plain,
% 9.58/7.16 (v178(constB185) <=> (v181(constB185) | v185(constB185))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33462, 84])).
% 9.58/7.16 tff(33464,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185))))))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33465,plain,
% 9.58/7.16 ((v181(constB185) <=> (~((~v182(constB185)) | (~v157(constB185))))) <=> (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185)))))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33466,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v157(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185))))))),
% 9.58/7.16 inference(monotonicity,[status(thm)],[33465])).
% 9.58/7.16 tff(33467,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v157(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185))))))),
% 9.58/7.16 inference(transitivity,[status(thm)],[33466, 33464])).
% 9.58/7.16 tff(33468,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v157(constB185)))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33469,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185)))))),
% 9.58/7.16 inference(modus_ponens,[status(thm)],[33468, 33467])).
% 9.58/7.16 tff(33470,plain,
% 9.58/7.16 (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185))))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33469, 161])).
% 9.58/7.16 tff(33471,plain,
% 9.58/7.16 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB185)) <=> v183(constB185))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33472,plain,
% 9.58/7.16 ((~v182(constB185)) <=> v183(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33471, 193])).
% 9.58/7.16 tff(33473,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB185) <=> (v184(constB185) | v26(constB185)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33474,plain,
% 9.58/7.16 (v183(constB185) <=> (v184(constB185) | v26(constB185))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33473, 202])).
% 9.58/7.16 tff(33475,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33476,plain,
% 9.58/7.16 (v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185))))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33475, 120])).
% 9.58/7.16 tff(33477,plain,
% 9.58/7.16 (((~![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)))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33478,plain,
% 9.58/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33479,plain,
% 9.58/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185))),
% 9.58/7.16 inference(modus_ponens,[status(thm)],[33478, 33477])).
% 9.58/7.16 tff(33480,plain,
% 9.58/7.16 (v13(constB186) <=> v9(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33479, 1067, 216])).
% 9.58/7.16 tff(33481,plain,
% 9.58/7.16 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB186) <=> v13(constB186))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33482,plain,
% 9.58/7.16 (v6(constB186) <=> v13(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33481, 230])).
% 9.58/7.16 tff(33483,plain,
% 9.58/7.16 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB186)) <=> v6(constB186))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33484,plain,
% 9.58/7.16 ((~v21(constB186)) <=> v6(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33483, 239])).
% 9.58/7.16 tff(33485,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB186) <=> (v20(constB186) | v21(constB186)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33486,plain,
% 9.58/7.16 (v19(constB186) <=> (v20(constB186) | v21(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33485, 248])).
% 9.58/7.16 tff(33487,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33488,plain,
% 9.58/7.16 (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186))))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33487, 260])).
% 9.58/7.16 tff(33489,plain,
% 9.58/7.16 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB186)) <=> v18(constB186))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33490,plain,
% 9.58/7.16 ((~v4(constB186)) <=> v18(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33489, 269])).
% 9.58/7.16 tff(33491,plain,
% 9.58/7.16 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB186)),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33492,plain,
% 9.58/7.16 (v4(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33491, 278])).
% 9.58/7.16 tff(33493,plain,
% 9.58/7.16 ((~((~v4(constB186)) <=> v18(constB186))) | (~v4(constB186)) | (~v18(constB186))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33494,plain,
% 9.58/7.16 (~v18(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33493, 33492, 33490])).
% 9.58/7.16 tff(33495,plain,
% 9.58/7.16 ((~(v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))) | v18(constB186) | ((~v19(constB186)) | (~v22(constB186)))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33496,plain,
% 9.58/7.16 ((~v19(constB186)) | (~v22(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33495, 33494, 33488])).
% 9.58/7.16 tff(33497,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB186) <=> (v1(constB186) | v6(constB186)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33498,plain,
% 9.58/7.16 (v22(constB186) <=> (v1(constB186) | v6(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33497, 291])).
% 9.58/7.16 tff(33499,plain,
% 9.58/7.16 ((v1(constB186) | v6(constB186)) | (~v1(constB186))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33500,plain,
% 9.58/7.16 (v1(constB186) | v6(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33499, 1097])).
% 9.58/7.16 tff(33501,plain,
% 9.58/7.16 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186) | (~(v1(constB186) | v6(constB186)))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33502,plain,
% 9.58/7.16 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33501, 33500])).
% 9.58/7.16 tff(33503,plain,
% 9.58/7.16 (v22(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33502, 33498])).
% 9.58/7.16 tff(33504,plain,
% 9.58/7.16 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186)) | (~v22(constB186))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33505,plain,
% 9.58/7.16 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33504, 33503])).
% 9.58/7.16 tff(33506,plain,
% 9.58/7.16 (~v19(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33505, 33496])).
% 9.58/7.16 tff(33507,plain,
% 9.58/7.16 ((~(v19(constB186) <=> (v20(constB186) | v21(constB186)))) | v19(constB186) | (~(v20(constB186) | v21(constB186)))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33508,plain,
% 9.58/7.16 (~(v20(constB186) | v21(constB186))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33507, 33506, 33486])).
% 9.58/7.16 tff(33509,plain,
% 9.58/7.16 ((v20(constB186) | v21(constB186)) | (~v21(constB186))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33510,plain,
% 9.58/7.16 (~v21(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33509, 33508])).
% 9.58/7.16 tff(33511,plain,
% 9.58/7.16 ((~((~v21(constB186)) <=> v6(constB186))) | v21(constB186) | v6(constB186)),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33512,plain,
% 9.58/7.16 (v6(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33511, 33510, 33484])).
% 9.58/7.16 tff(33513,plain,
% 9.58/7.16 ((~(v6(constB186) <=> v13(constB186))) | (~v6(constB186)) | v13(constB186)),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33514,plain,
% 9.58/7.16 (v13(constB186)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33513, 33512, 33482])).
% 9.58/7.16 tff(33515,plain,
% 9.58/7.16 ((~(v13(constB186) <=> v9(constB185))) | (~v13(constB186)) | v9(constB185)),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33516,plain,
% 9.58/7.16 (v9(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33515, 33514, 33480])).
% 9.58/7.16 tff(33517,plain,
% 9.58/7.16 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB185)) <=> v1(constB185))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33518,plain,
% 9.58/7.16 ((~v39(constB185)) <=> v1(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33517, 129])).
% 9.58/7.16 tff(33519,plain,
% 9.58/7.16 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185) | v1(constB185)),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33520,plain,
% 9.58/7.16 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33519, 1089])).
% 9.58/7.16 tff(33521,plain,
% 9.58/7.16 (v39(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33520, 33518])).
% 9.58/7.16 tff(33522,plain,
% 9.58/7.16 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v39(constB185)) | (~v9(constB185))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33523,plain,
% 9.58/7.16 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v9(constB185))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33522, 33521])).
% 9.58/7.16 tff(33524,plain,
% 9.58/7.16 (~((~v39(constB185)) | (~v9(constB185)))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33523, 33516])).
% 9.58/7.16 tff(33525,plain,
% 9.58/7.16 ((~(v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))) | v184(constB185) | ((~v39(constB185)) | (~v9(constB185)))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33526,plain,
% 9.58/7.16 (v184(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33525, 33524, 33476])).
% 9.58/7.16 tff(33527,plain,
% 9.58/7.16 ((v184(constB185) | v26(constB185)) | (~v184(constB185))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33528,plain,
% 9.58/7.16 (v184(constB185) | v26(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33527, 33526])).
% 9.58/7.16 tff(33529,plain,
% 9.58/7.16 ((~(v183(constB185) <=> (v184(constB185) | v26(constB185)))) | v183(constB185) | (~(v184(constB185) | v26(constB185)))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33530,plain,
% 9.58/7.16 (v183(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33529, 33528, 33474])).
% 9.58/7.16 tff(33531,plain,
% 9.58/7.16 ((~((~v182(constB185)) <=> v183(constB185))) | (~v182(constB185)) | (~v183(constB185))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33532,plain,
% 9.58/7.16 (~v182(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33531, 33530, 33472])).
% 9.58/7.16 tff(33533,plain,
% 9.58/7.16 (((~v157(constB185)) | (~v182(constB185))) | v182(constB185)),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33534,plain,
% 9.58/7.16 ((~v157(constB185)) | (~v182(constB185))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33533, 33532])).
% 9.58/7.16 tff(33535,plain,
% 9.58/7.16 ((~(v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185)))))) | (~v181(constB185)) | (~((~v157(constB185)) | (~v182(constB185))))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33536,plain,
% 9.58/7.16 (~v181(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33535, 33534, 33470])).
% 9.58/7.16 tff(33537,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185)))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33538,plain,
% 9.58/7.16 (v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185))))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33537, 96])).
% 9.58/7.16 tff(33539,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB185) <=> (~((~v184(constB185)) | (~v159(constB185)))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33540,plain,
% 9.58/7.16 (v187(constB185) <=> (~((~v184(constB185)) | (~v159(constB185))))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33539, 108])).
% 9.58/7.16 tff(33541,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB185) <=> v161(constB185))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33542,plain,
% 9.58/7.16 (v159(constB185) <=> v161(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33541, 345])).
% 9.58/7.16 tff(33543,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33544,plain,
% 9.58/7.16 (v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33543, 360])).
% 9.58/7.16 tff(33545,plain,
% 9.58/7.16 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33546,plain,
% 9.58/7.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33547,plain,
% 9.58/7.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1))),
% 9.58/7.16 inference(modus_ponens,[status(thm)],[33546, 33545])).
% 9.58/7.16 tff(33548,plain,
% 9.58/7.16 (v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33547, 375, 372])).
% 9.58/7.16 tff(33549,plain,
% 9.58/7.16 ((~(v88(constB185, bitIndex1) <=> v90(constB185, bitIndex1))) | v88(constB185, bitIndex1) | (~v90(constB185, bitIndex1))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33550,plain,
% 9.58/7.16 (v88(constB185, bitIndex1)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33549, 24862, 33548])).
% 9.58/7.16 tff(33551,plain,
% 9.58/7.16 ((v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33552,plain,
% 9.58/7.16 (v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33551, 33550])).
% 9.58/7.16 tff(33553,plain,
% 9.58/7.16 ((~(v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2))))) | (~v139(constB185)) | (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33554,plain,
% 9.58/7.16 (~v139(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33553, 33552, 33544])).
% 9.58/7.16 tff(33555,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))))))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33556,plain,
% 9.58/7.16 ((v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0))))) <=> (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0)))))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33557,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))))))),
% 9.58/7.16 inference(monotonicity,[status(thm)],[33556])).
% 9.58/7.16 tff(33558,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))))))),
% 9.58/7.16 inference(transitivity,[status(thm)],[33557, 33555])).
% 9.58/7.16 tff(33559,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0)))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33560,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0)))))),
% 9.58/7.16 inference(modus_ponens,[status(thm)],[33559, 33558])).
% 9.58/7.16 tff(33561,plain,
% 9.58/7.16 (v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33560, 25795])).
% 9.58/7.16 tff(33562,plain,
% 9.58/7.16 ((v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))) | (~v88(constB185, bitIndex1))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33563,plain,
% 9.58/7.16 (v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33562, 33550])).
% 9.58/7.16 tff(33564,plain,
% 9.58/7.16 ((~(v140(constB185) <=> (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0)))))) | (~v140(constB185)) | (~(v88(constB185, bitIndex2) | v88(constB185, bitIndex1) | (~v88(constB185, bitIndex0))))),
% 9.58/7.16 inference(tautology,[status(thm)],[])).
% 9.58/7.16 tff(33565,plain,
% 9.58/7.16 (~v140(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33564, 33563, 33561])).
% 9.58/7.16 tff(33566,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v168(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB185) | v139(constB185) | (~v168(constB185)))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33567,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v168(constB185)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33568,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB185) | v139(constB185) | (~v168(constB185))),
% 9.58/7.16 inference(modus_ponens,[status(thm)],[33567, 33566])).
% 9.58/7.16 tff(33569,plain,
% 9.58/7.16 (v140(constB185) | v139(constB185) | (~v168(constB185))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33568, 25819])).
% 9.58/7.16 tff(33570,plain,
% 9.58/7.16 (~v168(constB185)),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33569, 33565, 33554])).
% 9.58/7.16 tff(33571,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB185) <=> (v145(constB185) | v165(constB185)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33572,plain,
% 9.58/7.16 (v164(constB185) <=> (v145(constB185) | v165(constB185))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33571, 25834])).
% 9.58/7.16 tff(33573,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB185) <=> (v142(constB185) | v166(constB185)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33574,plain,
% 9.58/7.16 (v165(constB185) <=> (v142(constB185) | v166(constB185))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33573, 25846])).
% 9.58/7.16 tff(33575,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB185) <=> (v143(constB185) | v144(constB185)))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33576,plain,
% 9.58/7.16 (v142(constB185) <=> (v143(constB185) | v144(constB185))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33575, 25855])).
% 9.58/7.16 tff(33577,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)))))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33578,plain,
% 9.58/7.16 ((v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1))))) <=> (v143(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33579,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)))))),
% 9.58/7.16 inference(monotonicity,[status(thm)],[33578])).
% 9.58/7.16 tff(33580,plain,
% 9.58/7.16 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)))))),
% 9.58/7.16 inference(transitivity,[status(thm)],[33579, 33577])).
% 9.58/7.16 tff(33581,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))))),
% 9.58/7.16 inference(quant_inst,[status(thm)],[])).
% 9.58/7.16 tff(33582,plain,
% 9.58/7.16 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))))),
% 9.58/7.16 inference(modus_ponens,[status(thm)],[33581, 33580])).
% 9.58/7.16 tff(33583,plain,
% 9.58/7.16 (v143(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)))),
% 9.58/7.16 inference(unit_resolution,[status(thm)],[33582, 25870])).
% 9.58/7.16 tff(33584,plain,
% 9.58/7.16 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)))),
% 9.58/7.16 inference(rewrite,[status(thm)],[])).
% 9.58/7.16 tff(33585,plain,
% 9.58/7.16 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33586,plain,
% 9.58/7.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33585, 33584])).
% 9.58/7.17 tff(33587,plain,
% 9.58/7.17 (v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33586, 648, 372])).
% 9.58/7.17 tff(33588,plain,
% 9.58/7.17 ((~(v88(constB185, bitIndex2) <=> v90(constB185, bitIndex2))) | (~v88(constB185, bitIndex2)) | v90(constB185, bitIndex2)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33589,plain,
% 9.58/7.17 (~v88(constB185, bitIndex2)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33588, 24800, 33587])).
% 9.58/7.17 tff(33590,plain,
% 9.58/7.17 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33591,plain,
% 9.58/7.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33592,plain,
% 9.58/7.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33591, 33590])).
% 9.58/7.17 tff(33593,plain,
% 9.58/7.17 (v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33592, 9653, 372])).
% 9.58/7.17 tff(33594,plain,
% 9.58/7.17 ((~(v88(constB185, bitIndex0) <=> v90(constB185, bitIndex0))) | (~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33595,plain,
% 9.58/7.17 (~v88(constB185, bitIndex0)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33594, 24831, 33593])).
% 9.58/7.17 tff(33596,plain,
% 9.58/7.17 ((~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33597,plain,
% 9.58/7.17 (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33596, 33550, 33595, 33589])).
% 9.58/7.17 tff(33598,plain,
% 9.58/7.17 ((~(v143(constB185) <=> (~(v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))))) | v143(constB185) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33599,plain,
% 9.58/7.17 (v143(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33598, 33597, 33583])).
% 9.58/7.17 tff(33600,plain,
% 9.58/7.17 ((v143(constB185) | v144(constB185)) | (~v143(constB185))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33601,plain,
% 9.58/7.17 (v143(constB185) | v144(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33600, 33599])).
% 9.58/7.17 tff(33602,plain,
% 9.58/7.17 ((~(v142(constB185) <=> (v143(constB185) | v144(constB185)))) | v142(constB185) | (~(v143(constB185) | v144(constB185)))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33603,plain,
% 9.58/7.17 (v142(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33602, 33601, 33576])).
% 9.58/7.17 tff(33604,plain,
% 9.58/7.17 ((v142(constB185) | v166(constB185)) | (~v142(constB185))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33605,plain,
% 9.58/7.17 (v142(constB185) | v166(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33604, 33603])).
% 9.58/7.17 tff(33606,plain,
% 9.58/7.17 ((~(v165(constB185) <=> (v142(constB185) | v166(constB185)))) | v165(constB185) | (~(v142(constB185) | v166(constB185)))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33607,plain,
% 9.58/7.17 (v165(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33606, 33605, 33574])).
% 9.58/7.17 tff(33608,plain,
% 9.58/7.17 ((v145(constB185) | v165(constB185)) | (~v165(constB185))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33609,plain,
% 9.58/7.17 (v145(constB185) | v165(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33608, 33607])).
% 9.58/7.17 tff(33610,plain,
% 9.58/7.17 ((~(v164(constB185) <=> (v145(constB185) | v165(constB185)))) | v164(constB185) | (~(v145(constB185) | v165(constB185)))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33611,plain,
% 9.58/7.17 (v164(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33610, 33609, 33572])).
% 9.58/7.17 tff(33612,plain,
% 9.58/7.17 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB185)) | (v161(constB185) <=> v168(constB185)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB185)) | (v161(constB185) <=> v168(constB185)))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33613,plain,
% 9.58/7.17 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB185)) | (v161(constB185) <=> v168(constB185)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33614,plain,
% 9.58/7.17 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB185)) | (v161(constB185) <=> v168(constB185))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33613, 33612])).
% 9.58/7.17 tff(33615,plain,
% 9.58/7.17 ((~v164(constB185)) | (v161(constB185) <=> v168(constB185))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33614, 25977])).
% 9.58/7.17 tff(33616,plain,
% 9.58/7.17 (v161(constB185) <=> v168(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33615, 33611])).
% 9.58/7.17 tff(33617,plain,
% 9.58/7.17 ((~(v161(constB185) <=> v168(constB185))) | (~v161(constB185)) | v168(constB185)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33618,plain,
% 9.58/7.17 (~v161(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33617, 33616, 33570])).
% 9.58/7.17 tff(33619,plain,
% 9.58/7.17 ((~(v159(constB185) <=> v161(constB185))) | (~v159(constB185)) | v161(constB185)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33620,plain,
% 9.58/7.17 ((~(v159(constB185) <=> v161(constB185))) | (~v159(constB185))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33619, 33618])).
% 9.58/7.17 tff(33621,plain,
% 9.58/7.17 (~v159(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33620, 33542])).
% 9.58/7.17 tff(33622,plain,
% 9.58/7.17 (((~v184(constB185)) | (~v159(constB185))) | v159(constB185)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33623,plain,
% 9.58/7.17 ((~v184(constB185)) | (~v159(constB185))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33622, 33621])).
% 9.58/7.17 tff(33624,plain,
% 9.58/7.17 ((~(v187(constB185) <=> (~((~v184(constB185)) | (~v159(constB185)))))) | (~v187(constB185)) | (~((~v184(constB185)) | (~v159(constB185))))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33625,plain,
% 9.58/7.17 (~v187(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33624, 33623, 33540])).
% 9.58/7.17 tff(33626,plain,
% 9.58/7.17 (((~v186(constB185)) | (~v187(constB185))) | v187(constB185)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33627,plain,
% 9.58/7.17 ((~v186(constB185)) | (~v187(constB185))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33626, 33625])).
% 9.58/7.17 tff(33628,plain,
% 9.58/7.17 ((~(v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185)))))) | (~v185(constB185)) | (~((~v186(constB185)) | (~v187(constB185))))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33629,plain,
% 9.58/7.17 (~v185(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33628, 33627, 33538])).
% 9.58/7.17 tff(33630,plain,
% 9.58/7.17 ((~(v181(constB185) | v185(constB185))) | v181(constB185) | v185(constB185)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33631,plain,
% 9.58/7.17 (~(v181(constB185) | v185(constB185))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33630, 33629, 33536])).
% 9.58/7.17 tff(33632,plain,
% 9.58/7.17 ((~(v178(constB185) <=> (v181(constB185) | v185(constB185)))) | (~v178(constB185)) | (v181(constB185) | v185(constB185))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33633,plain,
% 9.58/7.17 (~v178(constB185)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33632, 33631, 33463])).
% 9.58/7.17 tff(33634,plain,
% 9.58/7.17 ((~(v180(constB186) <=> v178(constB185))) | (~v180(constB186)) | v178(constB185)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33635,plain,
% 9.58/7.17 (~v180(constB186)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33634, 33633, 33461])).
% 9.58/7.17 tff(33636,plain,
% 9.58/7.17 ((~(v157(constB186) <=> v180(constB186))) | (~v157(constB186)) | v180(constB186)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33637,plain,
% 9.58/7.17 (~v157(constB186)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33636, 33635, 33457])).
% 9.58/7.17 tff(33638,plain,
% 9.58/7.17 (((~v157(constB186)) | (~v182(constB186))) | v157(constB186)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33639,plain,
% 9.58/7.17 ((~v157(constB186)) | (~v182(constB186))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33638, 33637])).
% 9.58/7.17 tff(33640,plain,
% 9.58/7.17 ((~(v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186)))))) | (~v181(constB186)) | (~((~v157(constB186)) | (~v182(constB186))))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33641,plain,
% 9.58/7.17 (~v181(constB186)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33640, 33639, 33455])).
% 9.58/7.17 tff(33642,plain,
% 9.58/7.17 ((~(v181(constB186) | v185(constB186))) | v181(constB186) | v185(constB186)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33643,plain,
% 9.58/7.17 (~(v181(constB186) | v185(constB186))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33642, 33641, 33448])).
% 9.58/7.17 tff(33644,plain,
% 9.58/7.17 ((~(v178(constB186) <=> (v181(constB186) | v185(constB186)))) | (~v178(constB186)) | (v181(constB186) | v185(constB186))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33645,plain,
% 9.58/7.17 (~v178(constB186)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33644, 33643, 33423])).
% 9.58/7.17 tff(33646,plain,
% 9.58/7.17 ((~(v180(constB187) <=> v178(constB186))) | (~v180(constB187)) | v178(constB186)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33647,plain,
% 9.58/7.17 (~v180(constB187)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33646, 33645, 33421])).
% 9.58/7.17 tff(33648,plain,
% 9.58/7.17 ($false),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33647, 33417])).
% 9.58/7.17 tff(33649,plain,(~(constB187 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.17 tff(33650,assumption,(constB7 = VarCurr!0), introduced(assumption)).
% 9.58/7.17 tff(33651,plain,
% 9.58/7.17 (v180(constB7) <=> v180(VarCurr!0)),
% 9.58/7.17 inference(monotonicity,[status(thm)],[33650])).
% 9.58/7.17 tff(33652,plain,
% 9.58/7.17 (v180(VarCurr!0) <=> v180(constB7)),
% 9.58/7.17 inference(symmetry,[status(thm)],[33651])).
% 9.58/7.17 tff(33653,plain,
% 9.58/7.17 (v180(constB7)),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[59, 33652])).
% 9.58/7.17 tff(33654,plain,
% 9.58/7.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB6, constB7)) | (v180(constB7) <=> v178(constB6)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB6, constB7)) | (v180(constB7) <=> v178(constB6)))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33655,plain,
% 9.58/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB6, constB7)) | (v180(constB7) <=> v178(constB6)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33656,plain,
% 9.58/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB6, constB7)) | (v180(constB7) <=> v178(constB6))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 9.58/7.17 tff(33657,plain,
% 9.58/7.17 (v180(constB7) <=> v178(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33656, 9328, 70])).
% 9.58/7.17 tff(33658,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB6) <=> (v181(constB6) | v185(constB6)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33659,plain,
% 9.58/7.17 (v178(constB6) <=> (v181(constB6) | v185(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33658, 84])).
% 9.58/7.17 tff(33660,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB6) <=> (~((~v186(constB6)) | (~v187(constB6)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33661,plain,
% 9.58/7.17 (v185(constB6) <=> (~((~v186(constB6)) | (~v187(constB6))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33660, 96])).
% 9.58/7.17 tff(33662,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB6) <=> (~((~v184(constB6)) | (~v159(constB6)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33663,plain,
% 9.58/7.17 (v187(constB6) <=> (~((~v184(constB6)) | (~v159(constB6))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33662, 108])).
% 9.58/7.17 tff(33664,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33665,plain,
% 9.58/7.17 (v184(constB6) <=> (~((~v39(constB6)) | (~v9(constB6))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33664, 120])).
% 9.58/7.17 tff(33666,plain,
% 9.58/7.17 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB6)) <=> v1(constB6))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33667,plain,
% 9.58/7.17 ((~v39(constB6)) <=> v1(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33666, 129])).
% 9.58/7.17 tff(33668,plain,
% 9.58/7.17 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6)) | (~v1(constB6))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33669,plain,
% 9.58/7.17 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33668, 9390])).
% 9.58/7.17 tff(33670,plain,
% 9.58/7.17 (~v39(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33669, 33667])).
% 9.58/7.17 tff(33671,plain,
% 9.58/7.17 (((~v39(constB6)) | (~v9(constB6))) | v39(constB6)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33672,plain,
% 9.58/7.17 ((~v39(constB6)) | (~v9(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33671, 33670])).
% 9.58/7.17 tff(33673,plain,
% 9.58/7.17 ((~(v184(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v184(constB6)) | (~((~v39(constB6)) | (~v9(constB6))))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33674,plain,
% 9.58/7.17 ((~(v184(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v184(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33673, 33672])).
% 9.58/7.17 tff(33675,plain,
% 9.58/7.17 (~v184(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33674, 33665])).
% 9.58/7.17 tff(33676,plain,
% 9.58/7.17 (((~v184(constB6)) | (~v159(constB6))) | v184(constB6)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33677,plain,
% 9.58/7.17 ((~v184(constB6)) | (~v159(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33676, 33675])).
% 9.58/7.17 tff(33678,plain,
% 9.58/7.17 ((~(v187(constB6) <=> (~((~v184(constB6)) | (~v159(constB6)))))) | (~v187(constB6)) | (~((~v184(constB6)) | (~v159(constB6))))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33679,plain,
% 9.58/7.17 ((~(v187(constB6) <=> (~((~v184(constB6)) | (~v159(constB6)))))) | (~v187(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33678, 33677])).
% 9.58/7.17 tff(33680,plain,
% 9.58/7.17 (~v187(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33679, 33663])).
% 9.58/7.17 tff(33681,plain,
% 9.58/7.17 (((~v186(constB6)) | (~v187(constB6))) | v187(constB6)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33682,plain,
% 9.58/7.17 ((~v186(constB6)) | (~v187(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33681, 33680])).
% 9.58/7.17 tff(33683,plain,
% 9.58/7.17 ((~(v185(constB6) <=> (~((~v186(constB6)) | (~v187(constB6)))))) | (~v185(constB6)) | (~((~v186(constB6)) | (~v187(constB6))))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33684,plain,
% 9.58/7.17 (~v185(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33683, 33682, 33661])).
% 9.58/7.17 tff(33685,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB6) <=> (~((~v157(constB6)) | (~v182(constB6)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB6) <=> (~((~v157(constB6)) | (~v182(constB6))))))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33686,plain,
% 9.58/7.17 ((v181(constB6) <=> (~((~v182(constB6)) | (~v157(constB6))))) <=> (v181(constB6) <=> (~((~v157(constB6)) | (~v182(constB6)))))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33687,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB6) <=> (~((~v182(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB6) <=> (~((~v157(constB6)) | (~v182(constB6))))))),
% 9.58/7.17 inference(monotonicity,[status(thm)],[33686])).
% 9.58/7.17 tff(33688,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB6) <=> (~((~v182(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB6) <=> (~((~v157(constB6)) | (~v182(constB6))))))),
% 9.58/7.17 inference(transitivity,[status(thm)],[33687, 33685])).
% 9.58/7.17 tff(33689,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB6) <=> (~((~v182(constB6)) | (~v157(constB6)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33690,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB6) <=> (~((~v157(constB6)) | (~v182(constB6)))))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 9.58/7.17 tff(33691,plain,
% 9.58/7.17 (v181(constB6) <=> (~((~v157(constB6)) | (~v182(constB6))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33690, 161])).
% 9.58/7.17 tff(33692,plain,
% 9.58/7.17 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB6) <=> v180(constB6))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33693,plain,
% 9.58/7.17 (v157(constB6) <=> v180(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33692, 13])).
% 9.58/7.17 tff(33694,plain,
% 9.58/7.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB5, constB6)) | (v180(constB6) <=> v178(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB5, constB6)) | (v180(constB6) <=> v178(constB5)))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33695,plain,
% 9.58/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB5, constB6)) | (v180(constB6) <=> v178(constB5)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33696,plain,
% 9.58/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB5, constB6)) | (v180(constB6) <=> v178(constB5))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33695, 33694])).
% 9.58/7.17 tff(33697,plain,
% 9.58/7.17 (v180(constB6) <=> v178(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33696, 9360, 70])).
% 9.58/7.17 tff(33698,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB5) <=> (v181(constB5) | v185(constB5)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33699,plain,
% 9.58/7.17 (v178(constB5) <=> (v181(constB5) | v185(constB5))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33698, 84])).
% 9.58/7.17 tff(33700,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB5) <=> (~((~v157(constB5)) | (~v182(constB5)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB5) <=> (~((~v157(constB5)) | (~v182(constB5))))))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33701,plain,
% 9.58/7.17 ((v181(constB5) <=> (~((~v182(constB5)) | (~v157(constB5))))) <=> (v181(constB5) <=> (~((~v157(constB5)) | (~v182(constB5)))))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33702,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB5) <=> (~((~v182(constB5)) | (~v157(constB5)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB5) <=> (~((~v157(constB5)) | (~v182(constB5))))))),
% 9.58/7.17 inference(monotonicity,[status(thm)],[33701])).
% 9.58/7.17 tff(33703,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB5) <=> (~((~v182(constB5)) | (~v157(constB5)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB5) <=> (~((~v157(constB5)) | (~v182(constB5))))))),
% 9.58/7.17 inference(transitivity,[status(thm)],[33702, 33700])).
% 9.58/7.17 tff(33704,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB5) <=> (~((~v182(constB5)) | (~v157(constB5)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33705,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB5) <=> (~((~v157(constB5)) | (~v182(constB5)))))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33704, 33703])).
% 9.58/7.17 tff(33706,plain,
% 9.58/7.17 (v181(constB5) <=> (~((~v157(constB5)) | (~v182(constB5))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33705, 161])).
% 9.58/7.17 tff(33707,plain,
% 9.58/7.17 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB5)) <=> v183(constB5))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33708,plain,
% 9.58/7.17 ((~v182(constB5)) <=> v183(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33707, 193])).
% 9.58/7.17 tff(33709,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB5) <=> (v184(constB5) | v26(constB5)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33710,plain,
% 9.58/7.17 (v183(constB5) <=> (v184(constB5) | v26(constB5))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33709, 202])).
% 9.58/7.17 tff(33711,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33712,plain,
% 9.58/7.17 (v184(constB5) <=> (~((~v39(constB5)) | (~v9(constB5))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33711, 120])).
% 9.58/7.17 tff(33713,plain,
% 9.58/7.17 (((~![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)))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33714,plain,
% 9.58/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33715,plain,
% 9.58/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33714, 33713])).
% 9.58/7.17 tff(33716,plain,
% 9.58/7.17 (v13(constB6) <=> v9(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33715, 9360, 216])).
% 9.58/7.17 tff(33717,plain,
% 9.58/7.17 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB6) <=> v13(constB6))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33718,plain,
% 9.58/7.17 (v6(constB6) <=> v13(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33717, 230])).
% 9.58/7.17 tff(33719,plain,
% 9.58/7.17 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB6)) <=> v6(constB6))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33720,plain,
% 9.58/7.17 ((~v21(constB6)) <=> v6(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33719, 239])).
% 9.58/7.17 tff(33721,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB6) <=> (v20(constB6) | v21(constB6)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33722,plain,
% 9.58/7.17 (v19(constB6) <=> (v20(constB6) | v21(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33721, 248])).
% 9.58/7.17 tff(33723,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33724,plain,
% 9.58/7.17 (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33723, 260])).
% 9.58/7.17 tff(33725,plain,
% 9.58/7.17 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB6)) <=> v18(constB6))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33726,plain,
% 9.58/7.17 ((~v4(constB6)) <=> v18(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33725, 269])).
% 9.58/7.17 tff(33727,plain,
% 9.58/7.17 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB6)),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33728,plain,
% 9.58/7.17 (v4(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33727, 278])).
% 9.58/7.17 tff(33729,plain,
% 9.58/7.17 ((~((~v4(constB6)) <=> v18(constB6))) | (~v4(constB6)) | (~v18(constB6))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33730,plain,
% 9.58/7.17 (~v18(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33729, 33728, 33726])).
% 9.58/7.17 tff(33731,plain,
% 9.58/7.17 ((~(v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))) | v18(constB6) | ((~v19(constB6)) | (~v22(constB6)))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33732,plain,
% 9.58/7.17 ((~v19(constB6)) | (~v22(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33731, 33730, 33724])).
% 9.58/7.17 tff(33733,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB6) <=> (v1(constB6) | v6(constB6)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33734,plain,
% 9.58/7.17 (v22(constB6) <=> (v1(constB6) | v6(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33733, 291])).
% 9.58/7.17 tff(33735,plain,
% 9.58/7.17 ((v1(constB6) | v6(constB6)) | (~v1(constB6))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33736,plain,
% 9.58/7.17 (v1(constB6) | v6(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33735, 9390])).
% 9.58/7.17 tff(33737,plain,
% 9.58/7.17 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6) | (~(v1(constB6) | v6(constB6)))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33738,plain,
% 9.58/7.17 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33737, 33736])).
% 9.58/7.17 tff(33739,plain,
% 9.58/7.17 (v22(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33738, 33734])).
% 9.58/7.17 tff(33740,plain,
% 9.58/7.17 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6)) | (~v22(constB6))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33741,plain,
% 9.58/7.17 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33740, 33739])).
% 9.58/7.17 tff(33742,plain,
% 9.58/7.17 (~v19(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33741, 33732])).
% 9.58/7.17 tff(33743,plain,
% 9.58/7.17 ((~(v19(constB6) <=> (v20(constB6) | v21(constB6)))) | v19(constB6) | (~(v20(constB6) | v21(constB6)))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33744,plain,
% 9.58/7.17 (~(v20(constB6) | v21(constB6))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33743, 33742, 33722])).
% 9.58/7.17 tff(33745,plain,
% 9.58/7.17 ((v20(constB6) | v21(constB6)) | (~v21(constB6))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33746,plain,
% 9.58/7.17 (~v21(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33745, 33744])).
% 9.58/7.17 tff(33747,plain,
% 9.58/7.17 ((~((~v21(constB6)) <=> v6(constB6))) | v21(constB6) | v6(constB6)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33748,plain,
% 9.58/7.17 (v6(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33747, 33746, 33720])).
% 9.58/7.17 tff(33749,plain,
% 9.58/7.17 ((~(v6(constB6) <=> v13(constB6))) | (~v6(constB6)) | v13(constB6)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33750,plain,
% 9.58/7.17 (v13(constB6)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33749, 33748, 33718])).
% 9.58/7.17 tff(33751,plain,
% 9.58/7.17 ((~(v13(constB6) <=> v9(constB5))) | (~v13(constB6)) | v9(constB5)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33752,plain,
% 9.58/7.17 (v9(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33751, 33750, 33716])).
% 9.58/7.17 tff(33753,plain,
% 9.58/7.17 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB5)) <=> v1(constB5))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33754,plain,
% 9.58/7.17 ((~v39(constB5)) <=> v1(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33753, 129])).
% 9.58/7.17 tff(33755,plain,
% 9.58/7.17 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5) | v1(constB5)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33756,plain,
% 9.58/7.17 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33755, 9382])).
% 9.58/7.17 tff(33757,plain,
% 9.58/7.17 (v39(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33756, 33754])).
% 9.58/7.17 tff(33758,plain,
% 9.58/7.17 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v39(constB5)) | (~v9(constB5))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33759,plain,
% 9.58/7.17 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v9(constB5))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33758, 33757])).
% 9.58/7.17 tff(33760,plain,
% 9.58/7.17 (~((~v39(constB5)) | (~v9(constB5)))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33759, 33752])).
% 9.58/7.17 tff(33761,plain,
% 9.58/7.17 ((~(v184(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))) | v184(constB5) | ((~v39(constB5)) | (~v9(constB5)))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33762,plain,
% 9.58/7.17 (v184(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33761, 33760, 33712])).
% 9.58/7.17 tff(33763,plain,
% 9.58/7.17 ((v184(constB5) | v26(constB5)) | (~v184(constB5))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33764,plain,
% 9.58/7.17 (v184(constB5) | v26(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33763, 33762])).
% 9.58/7.17 tff(33765,plain,
% 9.58/7.17 ((~(v183(constB5) <=> (v184(constB5) | v26(constB5)))) | v183(constB5) | (~(v184(constB5) | v26(constB5)))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33766,plain,
% 9.58/7.17 (v183(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33765, 33764, 33710])).
% 9.58/7.17 tff(33767,plain,
% 9.58/7.17 ((~((~v182(constB5)) <=> v183(constB5))) | (~v182(constB5)) | (~v183(constB5))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33768,plain,
% 9.58/7.17 (~v182(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33767, 33766, 33708])).
% 9.58/7.17 tff(33769,plain,
% 9.58/7.17 (((~v157(constB5)) | (~v182(constB5))) | v182(constB5)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33770,plain,
% 9.58/7.17 ((~v157(constB5)) | (~v182(constB5))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33769, 33768])).
% 9.58/7.17 tff(33771,plain,
% 9.58/7.17 ((~(v181(constB5) <=> (~((~v157(constB5)) | (~v182(constB5)))))) | (~v181(constB5)) | (~((~v157(constB5)) | (~v182(constB5))))),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33772,plain,
% 9.58/7.17 (~v181(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33771, 33770, 33706])).
% 9.58/7.17 tff(33773,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB5) <=> (~((~v186(constB5)) | (~v187(constB5)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33774,plain,
% 9.58/7.17 (v185(constB5) <=> (~((~v186(constB5)) | (~v187(constB5))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33773, 96])).
% 9.58/7.17 tff(33775,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB5) <=> (~((~v184(constB5)) | (~v159(constB5)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33776,plain,
% 9.58/7.17 (v187(constB5) <=> (~((~v184(constB5)) | (~v159(constB5))))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33775, 108])).
% 9.58/7.17 tff(33777,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB5) <=> v161(constB5))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33778,plain,
% 9.58/7.17 (v159(constB5) <=> v161(constB5)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33777, 345])).
% 9.58/7.17 tff(33779,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB5) <=> (v145(constB5) | v165(constB5)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33780,plain,
% 9.58/7.17 (v164(constB5) <=> (v145(constB5) | v165(constB5))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33779, 25834])).
% 9.58/7.17 tff(33781,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB5) <=> (v142(constB5) | v166(constB5)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33782,plain,
% 9.58/7.17 (v165(constB5) <=> (v142(constB5) | v166(constB5))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33781, 25846])).
% 9.58/7.17 tff(33783,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB5) <=> (v143(constB5) | v144(constB5)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33784,plain,
% 9.58/7.17 (v142(constB5) <=> (v143(constB5) | v144(constB5))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33783, 25855])).
% 9.58/7.17 tff(33785,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33786,plain,
% 9.58/7.17 ((v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1))))) <=> (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33787,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))))),
% 9.58/7.17 inference(monotonicity,[status(thm)],[33786])).
% 9.58/7.17 tff(33788,plain,
% 9.58/7.17 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))))),
% 9.58/7.17 inference(transitivity,[status(thm)],[33787, 33785])).
% 9.58/7.17 tff(33789,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)))))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33790,plain,
% 9.58/7.17 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33789, 33788])).
% 9.58/7.17 tff(33791,plain,
% 9.58/7.17 (v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)))),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33790, 25870])).
% 9.58/7.17 tff(33792,plain,
% 9.58/7.17 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33793,plain,
% 9.58/7.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)))),
% 9.58/7.17 inference(quant_inst,[status(thm)],[])).
% 9.58/7.17 tff(33794,plain,
% 9.58/7.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2))),
% 9.58/7.17 inference(modus_ponens,[status(thm)],[33793, 33792])).
% 9.58/7.17 tff(33795,plain,
% 9.58/7.17 (v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33794, 648, 372])).
% 9.58/7.17 tff(33796,plain,
% 9.58/7.17 ((~(v88(constB5, bitIndex2) <=> v90(constB5, bitIndex2))) | (~v88(constB5, bitIndex2)) | v90(constB5, bitIndex2)),
% 9.58/7.17 inference(tautology,[status(thm)],[])).
% 9.58/7.17 tff(33797,plain,
% 9.58/7.17 (~v88(constB5, bitIndex2)),
% 9.58/7.17 inference(unit_resolution,[status(thm)],[33796, 10050, 33795])).
% 9.58/7.17 tff(33798,plain,
% 9.58/7.17 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)))),
% 9.58/7.17 inference(rewrite,[status(thm)],[])).
% 9.58/7.17 tff(33799,plain,
% 9.58/7.17 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33800,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33799, 33798])).
% 9.58/7.18 tff(33801,plain,
% 9.58/7.18 (v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33800, 9653, 372])).
% 9.58/7.18 tff(33802,plain,
% 9.58/7.18 ((~(v88(constB5, bitIndex0) <=> v90(constB5, bitIndex0))) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33803,plain,
% 9.58/7.18 (~v88(constB5, bitIndex0)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33802, 10084, 33801])).
% 9.58/7.18 tff(33804,plain,
% 9.58/7.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33805,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33806,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33805, 33804])).
% 9.58/7.18 tff(33807,plain,
% 9.58/7.18 (v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33806, 375, 372])).
% 9.58/7.18 tff(33808,plain,
% 9.58/7.18 ((~(v88(constB5, bitIndex1) <=> v90(constB5, bitIndex1))) | v88(constB5, bitIndex1) | (~v90(constB5, bitIndex1))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33809,plain,
% 9.58/7.18 (v88(constB5, bitIndex1)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33808, 10118, 33807])).
% 9.58/7.18 tff(33810,plain,
% 9.58/7.18 ((~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33811,plain,
% 9.58/7.18 (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33810, 33809, 33803, 33797])).
% 9.58/7.18 tff(33812,plain,
% 9.58/7.18 ((~(v143(constB5) <=> (~(v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))))) | v143(constB5) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33813,plain,
% 9.58/7.18 (v143(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33812, 33811, 33791])).
% 9.58/7.18 tff(33814,plain,
% 9.58/7.18 ((v143(constB5) | v144(constB5)) | (~v143(constB5))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33815,plain,
% 9.58/7.18 (v143(constB5) | v144(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33814, 33813])).
% 9.58/7.18 tff(33816,plain,
% 9.58/7.18 ((~(v142(constB5) <=> (v143(constB5) | v144(constB5)))) | v142(constB5) | (~(v143(constB5) | v144(constB5)))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33817,plain,
% 9.58/7.18 (v142(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33816, 33815, 33784])).
% 9.58/7.18 tff(33818,plain,
% 9.58/7.18 ((v142(constB5) | v166(constB5)) | (~v142(constB5))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33819,plain,
% 9.58/7.18 (v142(constB5) | v166(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33818, 33817])).
% 9.58/7.18 tff(33820,plain,
% 9.58/7.18 ((~(v165(constB5) <=> (v142(constB5) | v166(constB5)))) | v165(constB5) | (~(v142(constB5) | v166(constB5)))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33821,plain,
% 9.58/7.18 (v165(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33820, 33819, 33782])).
% 9.58/7.18 tff(33822,plain,
% 9.58/7.18 ((v145(constB5) | v165(constB5)) | (~v165(constB5))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33823,plain,
% 9.58/7.18 (v145(constB5) | v165(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33822, 33821])).
% 9.58/7.18 tff(33824,plain,
% 9.58/7.18 ((~(v164(constB5) <=> (v145(constB5) | v165(constB5)))) | v164(constB5) | (~(v145(constB5) | v165(constB5)))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33825,plain,
% 9.58/7.18 (v164(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33824, 33823, 33780])).
% 9.58/7.18 tff(33826,plain,
% 9.58/7.18 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB5)) | (v161(constB5) <=> v168(constB5)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB5)) | (v161(constB5) <=> v168(constB5)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33827,plain,
% 9.58/7.18 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB5)) | (v161(constB5) <=> v168(constB5)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33828,plain,
% 9.58/7.18 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB5)) | (v161(constB5) <=> v168(constB5))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33827, 33826])).
% 9.58/7.18 tff(33829,plain,
% 9.58/7.18 (v161(constB5) <=> v168(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33828, 25977, 33825])).
% 9.58/7.18 tff(33830,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2))))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33831,plain,
% 9.58/7.18 (v139(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2)))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33830, 360])).
% 9.58/7.18 tff(33832,plain,
% 9.58/7.18 ((v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2)) | (~v88(constB5, bitIndex1))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33833,plain,
% 9.58/7.18 (v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33832, 33809])).
% 9.58/7.18 tff(33834,plain,
% 9.58/7.18 ((~(v139(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2))))) | (~v139(constB5)) | (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex1) | v88(constB5, bitIndex2)))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33835,plain,
% 9.58/7.18 (~v139(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33834, 33833, 33831])).
% 9.58/7.18 tff(33836,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))))))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33837,plain,
% 9.58/7.18 ((v140(constB5) <=> (~(v88(constB5, bitIndex1) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex0))))) <=> (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0)))))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33838,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex1) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))))))),
% 9.58/7.18 inference(monotonicity,[status(thm)],[33837])).
% 9.58/7.18 tff(33839,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex1) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))))))),
% 9.58/7.18 inference(transitivity,[status(thm)],[33838, 33836])).
% 9.58/7.18 tff(33840,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex1) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex0)))))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33841,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0)))))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33840, 33839])).
% 9.58/7.18 tff(33842,plain,
% 9.58/7.18 (v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33841, 25795])).
% 9.58/7.18 tff(33843,plain,
% 9.58/7.18 ((v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))) | (~v88(constB5, bitIndex1))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33844,plain,
% 9.58/7.18 (v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33843, 33809])).
% 9.58/7.18 tff(33845,plain,
% 9.58/7.18 ((~(v140(constB5) <=> (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0)))))) | (~v140(constB5)) | (~(v88(constB5, bitIndex2) | v88(constB5, bitIndex1) | (~v88(constB5, bitIndex0))))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33846,plain,
% 9.58/7.18 (~v140(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33845, 33844, 33842])).
% 9.58/7.18 tff(33847,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v168(constB5)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB5) | v140(constB5) | (~v168(constB5)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33848,plain,
% 9.58/7.18 ((v140(constB5) | v139(constB5) | (~v168(constB5))) <=> (v139(constB5) | v140(constB5) | (~v168(constB5)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33849,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB5) | v139(constB5) | (~v168(constB5)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v168(constB5))))),
% 9.58/7.18 inference(monotonicity,[status(thm)],[33848])).
% 9.58/7.18 tff(33850,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB5) | v139(constB5) | (~v168(constB5)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB5) | v140(constB5) | (~v168(constB5)))),
% 9.58/7.18 inference(transitivity,[status(thm)],[33849, 33847])).
% 9.58/7.18 tff(33851,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB5) | v139(constB5) | (~v168(constB5)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33852,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB5) | v140(constB5) | (~v168(constB5))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33851, 33850])).
% 9.58/7.18 tff(33853,plain,
% 9.58/7.18 (v139(constB5) | v140(constB5) | (~v168(constB5))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33852, 25819])).
% 9.58/7.18 tff(33854,plain,
% 9.58/7.18 (~v168(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33853, 33846, 33835])).
% 9.58/7.18 tff(33855,plain,
% 9.58/7.18 ((~(v161(constB5) <=> v168(constB5))) | (~v161(constB5)) | v168(constB5)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33856,plain,
% 9.58/7.18 ((~(v161(constB5) <=> v168(constB5))) | (~v161(constB5))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33855, 33854])).
% 9.58/7.18 tff(33857,plain,
% 9.58/7.18 (~v161(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33856, 33829])).
% 9.58/7.18 tff(33858,plain,
% 9.58/7.18 ((~(v159(constB5) <=> v161(constB5))) | (~v159(constB5)) | v161(constB5)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33859,plain,
% 9.58/7.18 ((~(v159(constB5) <=> v161(constB5))) | (~v159(constB5))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33858, 33857])).
% 9.58/7.18 tff(33860,plain,
% 9.58/7.18 (~v159(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33859, 33778])).
% 9.58/7.18 tff(33861,plain,
% 9.58/7.18 (((~v184(constB5)) | (~v159(constB5))) | v159(constB5)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33862,plain,
% 9.58/7.18 ((~v184(constB5)) | (~v159(constB5))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33861, 33860])).
% 9.58/7.18 tff(33863,plain,
% 9.58/7.18 ((~(v187(constB5) <=> (~((~v184(constB5)) | (~v159(constB5)))))) | (~v187(constB5)) | (~((~v184(constB5)) | (~v159(constB5))))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33864,plain,
% 9.58/7.18 (~v187(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33863, 33862, 33776])).
% 9.58/7.18 tff(33865,plain,
% 9.58/7.18 (((~v186(constB5)) | (~v187(constB5))) | v187(constB5)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33866,plain,
% 9.58/7.18 ((~v186(constB5)) | (~v187(constB5))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33865, 33864])).
% 9.58/7.18 tff(33867,plain,
% 9.58/7.18 ((~(v185(constB5) <=> (~((~v186(constB5)) | (~v187(constB5)))))) | (~v185(constB5)) | (~((~v186(constB5)) | (~v187(constB5))))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33868,plain,
% 9.58/7.18 (~v185(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33867, 33866, 33774])).
% 9.58/7.18 tff(33869,plain,
% 9.58/7.18 ((~(v181(constB5) | v185(constB5))) | v181(constB5) | v185(constB5)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33870,plain,
% 9.58/7.18 (~(v181(constB5) | v185(constB5))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33869, 33868, 33772])).
% 9.58/7.18 tff(33871,plain,
% 9.58/7.18 ((~(v178(constB5) <=> (v181(constB5) | v185(constB5)))) | (~v178(constB5)) | (v181(constB5) | v185(constB5))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33872,plain,
% 9.58/7.18 (~v178(constB5)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33871, 33870, 33699])).
% 9.58/7.18 tff(33873,plain,
% 9.58/7.18 ((~(v180(constB6) <=> v178(constB5))) | (~v180(constB6)) | v178(constB5)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33874,plain,
% 9.58/7.18 (~v180(constB6)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33873, 33872, 33697])).
% 9.58/7.18 tff(33875,plain,
% 9.58/7.18 ((~(v157(constB6) <=> v180(constB6))) | (~v157(constB6)) | v180(constB6)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33876,plain,
% 9.58/7.18 (~v157(constB6)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33875, 33874, 33693])).
% 9.58/7.18 tff(33877,plain,
% 9.58/7.18 (((~v157(constB6)) | (~v182(constB6))) | v157(constB6)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33878,plain,
% 9.58/7.18 ((~v157(constB6)) | (~v182(constB6))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33877, 33876])).
% 9.58/7.18 tff(33879,plain,
% 9.58/7.18 ((~(v181(constB6) <=> (~((~v157(constB6)) | (~v182(constB6)))))) | (~v181(constB6)) | (~((~v157(constB6)) | (~v182(constB6))))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33880,plain,
% 9.58/7.18 (~v181(constB6)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33879, 33878, 33691])).
% 9.58/7.18 tff(33881,plain,
% 9.58/7.18 ((~(v181(constB6) | v185(constB6))) | v181(constB6) | v185(constB6)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33882,plain,
% 9.58/7.18 (~(v181(constB6) | v185(constB6))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33881, 33880, 33684])).
% 9.58/7.18 tff(33883,plain,
% 9.58/7.18 ((~(v178(constB6) <=> (v181(constB6) | v185(constB6)))) | (~v178(constB6)) | (v181(constB6) | v185(constB6))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33884,plain,
% 9.58/7.18 (~v178(constB6)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33883, 33882, 33659])).
% 9.58/7.18 tff(33885,plain,
% 9.58/7.18 ((~(v180(constB7) <=> v178(constB6))) | (~v180(constB7)) | v178(constB6)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33886,plain,
% 9.58/7.18 (~v180(constB7)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33885, 33884, 33657])).
% 9.58/7.18 tff(33887,plain,
% 9.58/7.18 ($false),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33886, 33653])).
% 9.58/7.18 tff(33888,plain,(~(constB7 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.18 tff(33889,assumption,(constB149 = VarCurr!0), introduced(assumption)).
% 9.58/7.18 tff(33890,plain,
% 9.58/7.18 (v86(constB149) <=> v86(VarCurr!0)),
% 9.58/7.18 inference(monotonicity,[status(thm)],[33889])).
% 9.58/7.18 tff(33891,plain,
% 9.58/7.18 (v86(VarCurr!0) <=> v86(constB149)),
% 9.58/7.18 inference(symmetry,[status(thm)],[33890])).
% 9.58/7.18 tff(33892,plain,
% 9.58/7.18 ((~v86(VarCurr!0)) <=> (~v86(constB149))),
% 9.58/7.18 inference(monotonicity,[status(thm)],[33891])).
% 9.58/7.18 tff(33893,plain,
% 9.58/7.18 (~v86(constB149)),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[26079, 33892])).
% 9.58/7.18 tff(33894,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB149) <=> (v143(constB149) | v144(constB149)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33895,plain,
% 9.58/7.18 (v142(constB149) <=> (v143(constB149) | v144(constB149))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33894, 25855])).
% 9.58/7.18 tff(33896,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)))))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33897,plain,
% 9.58/7.18 ((v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1))))) <=> (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33898,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)))))),
% 9.58/7.18 inference(monotonicity,[status(thm)],[33897])).
% 9.58/7.18 tff(33899,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)))))),
% 9.58/7.18 inference(transitivity,[status(thm)],[33898, 33896])).
% 9.58/7.18 tff(33900,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33901,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33900, 33899])).
% 9.58/7.18 tff(33902,plain,
% 9.58/7.18 (v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33901, 25870])).
% 9.58/7.18 tff(33903,plain,
% 9.58/7.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33904,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33905,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33904, 33903])).
% 9.58/7.18 tff(33906,plain,
% 9.58/7.18 (v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33905, 648, 372])).
% 9.58/7.18 tff(33907,plain,
% 9.58/7.18 ((~(v88(constB149, bitIndex2) <=> v90(constB149, bitIndex2))) | (~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33908,plain,
% 9.58/7.18 (~v88(constB149, bitIndex2)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33907, 21872, 33906])).
% 9.58/7.18 tff(33909,plain,
% 9.58/7.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33910,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33911,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33910, 33909])).
% 9.58/7.18 tff(33912,plain,
% 9.58/7.18 (v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33911, 9653, 372])).
% 9.58/7.18 tff(33913,plain,
% 9.58/7.18 ((~(v88(constB149, bitIndex0) <=> v90(constB149, bitIndex0))) | (~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33914,plain,
% 9.58/7.18 (~v88(constB149, bitIndex0)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33913, 21903, 33912])).
% 9.58/7.18 tff(33915,plain,
% 9.58/7.18 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33916,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33917,plain,
% 9.58/7.18 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33916, 33915])).
% 9.58/7.18 tff(33918,plain,
% 9.58/7.18 (v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33917, 375, 372])).
% 9.58/7.18 tff(33919,plain,
% 9.58/7.18 ((~(v88(constB149, bitIndex1) <=> v90(constB149, bitIndex1))) | v88(constB149, bitIndex1) | (~v90(constB149, bitIndex1))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33920,plain,
% 9.58/7.18 (v88(constB149, bitIndex1)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33919, 21934, 33918])).
% 9.58/7.18 tff(33921,plain,
% 9.58/7.18 ((~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33922,plain,
% 9.58/7.18 (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33921, 33920, 33914, 33908])).
% 9.58/7.18 tff(33923,plain,
% 9.58/7.18 ((~(v143(constB149) <=> (~(v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))))) | v143(constB149) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33924,plain,
% 9.58/7.18 (v143(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33923, 33922, 33902])).
% 9.58/7.18 tff(33925,plain,
% 9.58/7.18 ((v143(constB149) | v144(constB149)) | (~v143(constB149))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33926,plain,
% 9.58/7.18 (v143(constB149) | v144(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33925, 33924])).
% 9.58/7.18 tff(33927,plain,
% 9.58/7.18 ((~(v142(constB149) <=> (v143(constB149) | v144(constB149)))) | v142(constB149) | (~(v143(constB149) | v144(constB149)))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33928,plain,
% 9.58/7.18 (v142(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33927, 33926, 33895])).
% 9.58/7.18 tff(33929,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB149) | (~v142(constB149)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33930,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB149) | (~v142(constB149)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33931,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB149) | (~v142(constB149))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33930, 33929])).
% 9.58/7.18 tff(33932,plain,
% 9.58/7.18 (v148(constB149) | (~v142(constB149))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33931, 26138])).
% 9.58/7.18 tff(33933,plain,
% 9.58/7.18 (v148(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33932, 33928])).
% 9.58/7.18 tff(33934,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB149) <=> (v136(constB149) | v145(constB149)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33935,plain,
% 9.58/7.18 (v135(constB149) <=> (v136(constB149) | v145(constB149))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33934, 26150])).
% 9.58/7.18 tff(33936,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB149) <=> (v137(constB149) | v142(constB149)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33937,plain,
% 9.58/7.18 (v136(constB149) <=> (v137(constB149) | v142(constB149))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33936, 26159])).
% 9.58/7.18 tff(33938,plain,
% 9.58/7.18 ((v137(constB149) | v142(constB149)) | (~v142(constB149))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33939,plain,
% 9.58/7.18 (v137(constB149) | v142(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33938, 33928])).
% 9.58/7.18 tff(33940,plain,
% 9.58/7.18 ((~(v136(constB149) <=> (v137(constB149) | v142(constB149)))) | v136(constB149) | (~(v137(constB149) | v142(constB149)))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33941,plain,
% 9.58/7.18 (v136(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33940, 33939, 33937])).
% 9.58/7.18 tff(33942,plain,
% 9.58/7.18 ((v136(constB149) | v145(constB149)) | (~v136(constB149))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33943,plain,
% 9.58/7.18 (v136(constB149) | v145(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33942, 33941])).
% 9.58/7.18 tff(33944,plain,
% 9.58/7.18 ((~(v135(constB149) <=> (v136(constB149) | v145(constB149)))) | v135(constB149) | (~(v136(constB149) | v145(constB149)))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33945,plain,
% 9.58/7.18 (v135(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33944, 33943, 33935])).
% 9.58/7.18 tff(33946,plain,
% 9.58/7.18 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB149)) | (v86(constB149) <=> v148(constB149)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB149)) | (v86(constB149) <=> v148(constB149)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33947,plain,
% 9.58/7.18 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB149)) | (v86(constB149) <=> v148(constB149)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33948,plain,
% 9.58/7.18 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB149)) | (v86(constB149) <=> v148(constB149))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33947, 33946])).
% 9.58/7.18 tff(33949,plain,
% 9.58/7.18 ((~v135(constB149)) | (v86(constB149) <=> v148(constB149))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33948, 26179])).
% 9.58/7.18 tff(33950,plain,
% 9.58/7.18 (v86(constB149) <=> v148(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33949, 33945])).
% 9.58/7.18 tff(33951,plain,
% 9.58/7.18 ((~(v86(constB149) <=> v148(constB149))) | v86(constB149) | (~v148(constB149))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33952,plain,
% 9.58/7.18 (v86(constB149)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33951, 33950, 33933])).
% 9.58/7.18 tff(33953,plain,
% 9.58/7.18 ($false),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33952, 33893])).
% 9.58/7.18 tff(33954,plain,(~(constB149 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.18 tff(33955,assumption,(constB139 = VarCurr!0), introduced(assumption)).
% 9.58/7.18 tff(33956,plain,
% 9.58/7.18 (v180(constB139) <=> v180(VarCurr!0)),
% 9.58/7.18 inference(monotonicity,[status(thm)],[33955])).
% 9.58/7.18 tff(33957,plain,
% 9.58/7.18 (v180(VarCurr!0) <=> v180(constB139)),
% 9.58/7.18 inference(symmetry,[status(thm)],[33956])).
% 9.58/7.18 tff(33958,plain,
% 9.58/7.18 (v180(constB139)),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[59, 33957])).
% 9.58/7.18 tff(33959,plain,
% 9.58/7.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138)))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33960,plain,
% 9.58/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33961,plain,
% 9.58/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33960, 33959])).
% 9.58/7.18 tff(33962,plain,
% 9.58/7.18 (v180(constB139) <=> v178(constB138)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33961, 3256, 70])).
% 9.58/7.18 tff(33963,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB138) <=> (v181(constB138) | v185(constB138)))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33964,plain,
% 9.58/7.18 (v178(constB138) <=> (v181(constB138) | v185(constB138))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33963, 84])).
% 9.58/7.18 tff(33965,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138)))))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33966,plain,
% 9.58/7.18 (v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138))))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33965, 96])).
% 9.58/7.18 tff(33967,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB138) <=> (~((~v184(constB138)) | (~v159(constB138)))))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33968,plain,
% 9.58/7.18 (v187(constB138) <=> (~((~v184(constB138)) | (~v159(constB138))))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33967, 108])).
% 9.58/7.18 tff(33969,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33970,plain,
% 9.58/7.18 (v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138))))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33969, 120])).
% 9.58/7.18 tff(33971,plain,
% 9.58/7.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB138)) <=> v1(constB138))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33972,plain,
% 9.58/7.18 ((~v39(constB138)) <=> v1(constB138)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33971, 129])).
% 9.58/7.18 tff(33973,plain,
% 9.58/7.18 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138)) | (~v1(constB138))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33974,plain,
% 9.58/7.18 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33973, 3318])).
% 9.58/7.18 tff(33975,plain,
% 9.58/7.18 (~v39(constB138)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33974, 33972])).
% 9.58/7.18 tff(33976,plain,
% 9.58/7.18 (((~v39(constB138)) | (~v9(constB138))) | v39(constB138)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33977,plain,
% 9.58/7.18 ((~v39(constB138)) | (~v9(constB138))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33976, 33975])).
% 9.58/7.18 tff(33978,plain,
% 9.58/7.18 ((~(v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v184(constB138)) | (~((~v39(constB138)) | (~v9(constB138))))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33979,plain,
% 9.58/7.18 ((~(v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v184(constB138))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33978, 33977])).
% 9.58/7.18 tff(33980,plain,
% 9.58/7.18 (~v184(constB138)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33979, 33970])).
% 9.58/7.18 tff(33981,plain,
% 9.58/7.18 (((~v184(constB138)) | (~v159(constB138))) | v184(constB138)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33982,plain,
% 9.58/7.18 ((~v184(constB138)) | (~v159(constB138))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33981, 33980])).
% 9.58/7.18 tff(33983,plain,
% 9.58/7.18 ((~(v187(constB138) <=> (~((~v184(constB138)) | (~v159(constB138)))))) | (~v187(constB138)) | (~((~v184(constB138)) | (~v159(constB138))))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33984,plain,
% 9.58/7.18 ((~(v187(constB138) <=> (~((~v184(constB138)) | (~v159(constB138)))))) | (~v187(constB138))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33983, 33982])).
% 9.58/7.18 tff(33985,plain,
% 9.58/7.18 (~v187(constB138)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33984, 33968])).
% 9.58/7.18 tff(33986,plain,
% 9.58/7.18 (((~v186(constB138)) | (~v187(constB138))) | v187(constB138)),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33987,plain,
% 9.58/7.18 ((~v186(constB138)) | (~v187(constB138))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33986, 33985])).
% 9.58/7.18 tff(33988,plain,
% 9.58/7.18 ((~(v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138)))))) | (~v185(constB138)) | (~((~v186(constB138)) | (~v187(constB138))))),
% 9.58/7.18 inference(tautology,[status(thm)],[])).
% 9.58/7.18 tff(33989,plain,
% 9.58/7.18 (~v185(constB138)),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33988, 33987, 33966])).
% 9.58/7.18 tff(33990,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138))))))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33991,plain,
% 9.58/7.18 ((v181(constB138) <=> (~((~v182(constB138)) | (~v157(constB138))))) <=> (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138)))))),
% 9.58/7.18 inference(rewrite,[status(thm)],[])).
% 9.58/7.18 tff(33992,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v157(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138))))))),
% 9.58/7.18 inference(monotonicity,[status(thm)],[33991])).
% 9.58/7.18 tff(33993,plain,
% 9.58/7.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v157(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138))))))),
% 9.58/7.18 inference(transitivity,[status(thm)],[33992, 33990])).
% 9.58/7.18 tff(33994,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v157(constB138)))))),
% 9.58/7.18 inference(quant_inst,[status(thm)],[])).
% 9.58/7.18 tff(33995,plain,
% 9.58/7.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138)))))),
% 9.58/7.18 inference(modus_ponens,[status(thm)],[33994, 33993])).
% 9.58/7.18 tff(33996,plain,
% 9.58/7.18 (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138))))),
% 9.58/7.18 inference(unit_resolution,[status(thm)],[33995, 161])).
% 9.58/7.18 tff(33997,plain,
% 9.58/7.18 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB138) <=> v180(constB138))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(33998,plain,
% 9.58/7.19 (v157(constB138) <=> v180(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[33997, 13])).
% 9.58/7.19 tff(33999,plain,
% 9.58/7.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34000,plain,
% 9.58/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34001,plain,
% 9.58/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34000, 33999])).
% 9.58/7.19 tff(34002,plain,
% 9.58/7.19 (v180(constB138) <=> v178(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34001, 3288, 70])).
% 9.58/7.19 tff(34003,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB137) <=> (v181(constB137) | v185(constB137)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34004,plain,
% 9.58/7.19 (v178(constB137) <=> (v181(constB137) | v185(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34003, 84])).
% 9.58/7.19 tff(34005,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137))))))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34006,plain,
% 9.58/7.19 ((v181(constB137) <=> (~((~v182(constB137)) | (~v157(constB137))))) <=> (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137)))))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34007,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v157(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137))))))),
% 9.58/7.19 inference(monotonicity,[status(thm)],[34006])).
% 9.58/7.19 tff(34008,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v157(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137))))))),
% 9.58/7.19 inference(transitivity,[status(thm)],[34007, 34005])).
% 9.58/7.19 tff(34009,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v157(constB137)))))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34010,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137)))))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34009, 34008])).
% 9.58/7.19 tff(34011,plain,
% 9.58/7.19 (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137))))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34010, 161])).
% 9.58/7.19 tff(34012,plain,
% 9.58/7.19 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB137)) <=> v183(constB137))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34013,plain,
% 9.58/7.19 ((~v182(constB137)) <=> v183(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34012, 193])).
% 9.58/7.19 tff(34014,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB137) <=> (v184(constB137) | v26(constB137)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34015,plain,
% 9.58/7.19 (v183(constB137) <=> (v184(constB137) | v26(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34014, 202])).
% 9.58/7.19 tff(34016,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34017,plain,
% 9.58/7.19 (v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137))))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34016, 120])).
% 9.58/7.19 tff(34018,plain,
% 9.58/7.19 (((~![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)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34019,plain,
% 9.58/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34020,plain,
% 9.58/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34019, 34018])).
% 9.58/7.19 tff(34021,plain,
% 9.58/7.19 (v13(constB138) <=> v9(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34020, 3288, 216])).
% 9.58/7.19 tff(34022,plain,
% 9.58/7.19 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB138) <=> v13(constB138))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34023,plain,
% 9.58/7.19 (v6(constB138) <=> v13(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34022, 230])).
% 9.58/7.19 tff(34024,plain,
% 9.58/7.19 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB138)) <=> v6(constB138))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34025,plain,
% 9.58/7.19 ((~v21(constB138)) <=> v6(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34024, 239])).
% 9.58/7.19 tff(34026,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB138) <=> (v20(constB138) | v21(constB138)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34027,plain,
% 9.58/7.19 (v19(constB138) <=> (v20(constB138) | v21(constB138))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34026, 248])).
% 9.58/7.19 tff(34028,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138)))))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34029,plain,
% 9.58/7.19 (v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138))))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34028, 260])).
% 9.58/7.19 tff(34030,plain,
% 9.58/7.19 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB138)) <=> v18(constB138))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34031,plain,
% 9.58/7.19 ((~v4(constB138)) <=> v18(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34030, 269])).
% 9.58/7.19 tff(34032,plain,
% 9.58/7.19 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB138)),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34033,plain,
% 9.58/7.19 (v4(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34032, 278])).
% 9.58/7.19 tff(34034,plain,
% 9.58/7.19 ((~((~v4(constB138)) <=> v18(constB138))) | (~v4(constB138)) | (~v18(constB138))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34035,plain,
% 9.58/7.19 (~v18(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34034, 34033, 34031])).
% 9.58/7.19 tff(34036,plain,
% 9.58/7.19 ((~(v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138)))))) | v18(constB138) | ((~v19(constB138)) | (~v22(constB138)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34037,plain,
% 9.58/7.19 ((~v19(constB138)) | (~v22(constB138))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34036, 34035, 34029])).
% 9.58/7.19 tff(34038,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB138) <=> (v1(constB138) | v6(constB138)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34039,plain,
% 9.58/7.19 (v22(constB138) <=> (v1(constB138) | v6(constB138))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34038, 291])).
% 9.58/7.19 tff(34040,plain,
% 9.58/7.19 ((v1(constB138) | v6(constB138)) | (~v1(constB138))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34041,plain,
% 9.58/7.19 (v1(constB138) | v6(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34040, 3318])).
% 9.58/7.19 tff(34042,plain,
% 9.58/7.19 ((~(v22(constB138) <=> (v1(constB138) | v6(constB138)))) | v22(constB138) | (~(v1(constB138) | v6(constB138)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34043,plain,
% 9.58/7.19 ((~(v22(constB138) <=> (v1(constB138) | v6(constB138)))) | v22(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34042, 34041])).
% 9.58/7.19 tff(34044,plain,
% 9.58/7.19 (v22(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34043, 34039])).
% 9.58/7.19 tff(34045,plain,
% 9.58/7.19 ((~((~v19(constB138)) | (~v22(constB138)))) | (~v19(constB138)) | (~v22(constB138))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34046,plain,
% 9.58/7.19 ((~((~v19(constB138)) | (~v22(constB138)))) | (~v19(constB138))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34045, 34044])).
% 9.58/7.19 tff(34047,plain,
% 9.58/7.19 (~v19(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34046, 34037])).
% 9.58/7.19 tff(34048,plain,
% 9.58/7.19 ((~(v19(constB138) <=> (v20(constB138) | v21(constB138)))) | v19(constB138) | (~(v20(constB138) | v21(constB138)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34049,plain,
% 9.58/7.19 (~(v20(constB138) | v21(constB138))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34048, 34047, 34027])).
% 9.58/7.19 tff(34050,plain,
% 9.58/7.19 ((v20(constB138) | v21(constB138)) | (~v21(constB138))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34051,plain,
% 9.58/7.19 (~v21(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34050, 34049])).
% 9.58/7.19 tff(34052,plain,
% 9.58/7.19 ((~((~v21(constB138)) <=> v6(constB138))) | v21(constB138) | v6(constB138)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34053,plain,
% 9.58/7.19 (v6(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34052, 34051, 34025])).
% 9.58/7.19 tff(34054,plain,
% 9.58/7.19 ((~(v6(constB138) <=> v13(constB138))) | (~v6(constB138)) | v13(constB138)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34055,plain,
% 9.58/7.19 (v13(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34054, 34053, 34023])).
% 9.58/7.19 tff(34056,plain,
% 9.58/7.19 ((~(v13(constB138) <=> v9(constB137))) | (~v13(constB138)) | v9(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34057,plain,
% 9.58/7.19 (v9(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34056, 34055, 34021])).
% 9.58/7.19 tff(34058,plain,
% 9.58/7.19 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB137)) <=> v1(constB137))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34059,plain,
% 9.58/7.19 ((~v39(constB137)) <=> v1(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34058, 129])).
% 9.58/7.19 tff(34060,plain,
% 9.58/7.19 ((~((~v39(constB137)) <=> v1(constB137))) | v39(constB137) | v1(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34061,plain,
% 9.58/7.19 ((~((~v39(constB137)) <=> v1(constB137))) | v39(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34060, 3310])).
% 9.58/7.19 tff(34062,plain,
% 9.58/7.19 (v39(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34061, 34059])).
% 9.58/7.19 tff(34063,plain,
% 9.58/7.19 ((~((~v39(constB137)) | (~v9(constB137)))) | (~v39(constB137)) | (~v9(constB137))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34064,plain,
% 9.58/7.19 ((~((~v39(constB137)) | (~v9(constB137)))) | (~v9(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34063, 34062])).
% 9.58/7.19 tff(34065,plain,
% 9.58/7.19 (~((~v39(constB137)) | (~v9(constB137)))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34064, 34057])).
% 9.58/7.19 tff(34066,plain,
% 9.58/7.19 ((~(v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))) | v184(constB137) | ((~v39(constB137)) | (~v9(constB137)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34067,plain,
% 9.58/7.19 (v184(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34066, 34065, 34017])).
% 9.58/7.19 tff(34068,plain,
% 9.58/7.19 ((v184(constB137) | v26(constB137)) | (~v184(constB137))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34069,plain,
% 9.58/7.19 (v184(constB137) | v26(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34068, 34067])).
% 9.58/7.19 tff(34070,plain,
% 9.58/7.19 ((~(v183(constB137) <=> (v184(constB137) | v26(constB137)))) | v183(constB137) | (~(v184(constB137) | v26(constB137)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34071,plain,
% 9.58/7.19 (v183(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34070, 34069, 34015])).
% 9.58/7.19 tff(34072,plain,
% 9.58/7.19 ((~((~v182(constB137)) <=> v183(constB137))) | (~v182(constB137)) | (~v183(constB137))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34073,plain,
% 9.58/7.19 (~v182(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34072, 34071, 34013])).
% 9.58/7.19 tff(34074,plain,
% 9.58/7.19 (((~v157(constB137)) | (~v182(constB137))) | v182(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34075,plain,
% 9.58/7.19 ((~v157(constB137)) | (~v182(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34074, 34073])).
% 9.58/7.19 tff(34076,plain,
% 9.58/7.19 ((~(v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137)))))) | (~v181(constB137)) | (~((~v157(constB137)) | (~v182(constB137))))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34077,plain,
% 9.58/7.19 (~v181(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34076, 34075, 34011])).
% 9.58/7.19 tff(34078,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137)))))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34079,plain,
% 9.58/7.19 (v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137))))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34078, 96])).
% 9.58/7.19 tff(34080,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB137) <=> (~((~v184(constB137)) | (~v159(constB137)))))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34081,plain,
% 9.58/7.19 (v187(constB137) <=> (~((~v184(constB137)) | (~v159(constB137))))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34080, 108])).
% 9.58/7.19 tff(34082,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB137) <=> v161(constB137))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34083,plain,
% 9.58/7.19 (v159(constB137) <=> v161(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34082, 345])).
% 9.58/7.19 tff(34084,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2))))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34085,plain,
% 9.58/7.19 (v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34084, 360])).
% 9.58/7.19 tff(34086,plain,
% 9.58/7.19 ((v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)) | (~v88(constB137, bitIndex1))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34087,plain,
% 9.58/7.19 (v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34086, 31684])).
% 9.58/7.19 tff(34088,plain,
% 9.58/7.19 ((~(v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2))))) | (~v139(constB137)) | (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34089,plain,
% 9.58/7.19 (~v139(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34088, 34087, 34085])).
% 9.58/7.19 tff(34090,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))))))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34091,plain,
% 9.58/7.19 ((v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0))))) <=> (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)))))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34092,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))))))),
% 9.58/7.19 inference(monotonicity,[status(thm)],[34091])).
% 9.58/7.19 tff(34093,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))))))),
% 9.58/7.19 inference(transitivity,[status(thm)],[34092, 34090])).
% 9.58/7.19 tff(34094,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0)))))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34095,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)))))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34094, 34093])).
% 9.58/7.19 tff(34096,plain,
% 9.58/7.19 (v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34095, 25795])).
% 9.58/7.19 tff(34097,plain,
% 9.58/7.19 ((v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))) | (~v88(constB137, bitIndex1))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34098,plain,
% 9.58/7.19 (v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34097, 31684])).
% 9.58/7.19 tff(34099,plain,
% 9.58/7.19 ((~(v140(constB137) <=> (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)))))) | (~v140(constB137)) | (~(v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0))))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34100,plain,
% 9.58/7.19 (~v140(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34099, 34098, 34096])).
% 9.58/7.19 tff(34101,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB137) | v139(constB137) | (~v168(constB137)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB137) | v139(constB137) | (~v168(constB137)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34102,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB137) | v139(constB137) | (~v168(constB137)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34103,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB137) | v139(constB137) | (~v168(constB137))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34102, 34101])).
% 9.58/7.19 tff(34104,plain,
% 9.58/7.19 (v140(constB137) | v139(constB137) | (~v168(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34103, 25819])).
% 9.58/7.19 tff(34105,plain,
% 9.58/7.19 (~v168(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34104, 34100, 34089])).
% 9.58/7.19 tff(34106,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB137) <=> (v145(constB137) | v165(constB137)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34107,plain,
% 9.58/7.19 (v164(constB137) <=> (v145(constB137) | v165(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34106, 25834])).
% 9.58/7.19 tff(34108,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB137) <=> (v142(constB137) | v166(constB137)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34109,plain,
% 9.58/7.19 (v165(constB137) <=> (v142(constB137) | v166(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34108, 25846])).
% 9.58/7.19 tff(34110,plain,
% 9.58/7.19 ((v142(constB137) | v166(constB137)) | (~v142(constB137))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34111,plain,
% 9.58/7.19 (v142(constB137) | v166(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34110, 31692])).
% 9.58/7.19 tff(34112,plain,
% 9.58/7.19 ((~(v165(constB137) <=> (v142(constB137) | v166(constB137)))) | v165(constB137) | (~(v142(constB137) | v166(constB137)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34113,plain,
% 9.58/7.19 (v165(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34112, 34111, 34109])).
% 9.58/7.19 tff(34114,plain,
% 9.58/7.19 ((v145(constB137) | v165(constB137)) | (~v165(constB137))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34115,plain,
% 9.58/7.19 (v145(constB137) | v165(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34114, 34113])).
% 9.58/7.19 tff(34116,plain,
% 9.58/7.19 ((~(v164(constB137) <=> (v145(constB137) | v165(constB137)))) | v164(constB137) | (~(v145(constB137) | v165(constB137)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34117,plain,
% 9.58/7.19 (v164(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34116, 34115, 34107])).
% 9.58/7.19 tff(34118,plain,
% 9.58/7.19 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB137)) | (v161(constB137) <=> v168(constB137)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB137)) | (v161(constB137) <=> v168(constB137)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34119,plain,
% 9.58/7.19 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB137)) | (v161(constB137) <=> v168(constB137)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34120,plain,
% 9.58/7.19 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB137)) | (v161(constB137) <=> v168(constB137))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34119, 34118])).
% 9.58/7.19 tff(34121,plain,
% 9.58/7.19 ((~v164(constB137)) | (v161(constB137) <=> v168(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34120, 25977])).
% 9.58/7.19 tff(34122,plain,
% 9.58/7.19 (v161(constB137) <=> v168(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34121, 34117])).
% 9.58/7.19 tff(34123,plain,
% 9.58/7.19 ((~(v161(constB137) <=> v168(constB137))) | (~v161(constB137)) | v168(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34124,plain,
% 9.58/7.19 (~v161(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34123, 34122, 34105])).
% 9.58/7.19 tff(34125,plain,
% 9.58/7.19 ((~(v159(constB137) <=> v161(constB137))) | (~v159(constB137)) | v161(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34126,plain,
% 9.58/7.19 ((~(v159(constB137) <=> v161(constB137))) | (~v159(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34125, 34124])).
% 9.58/7.19 tff(34127,plain,
% 9.58/7.19 (~v159(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34126, 34083])).
% 9.58/7.19 tff(34128,plain,
% 9.58/7.19 (((~v184(constB137)) | (~v159(constB137))) | v159(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34129,plain,
% 9.58/7.19 ((~v184(constB137)) | (~v159(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34128, 34127])).
% 9.58/7.19 tff(34130,plain,
% 9.58/7.19 ((~(v187(constB137) <=> (~((~v184(constB137)) | (~v159(constB137)))))) | (~v187(constB137)) | (~((~v184(constB137)) | (~v159(constB137))))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34131,plain,
% 9.58/7.19 (~v187(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34130, 34129, 34081])).
% 9.58/7.19 tff(34132,plain,
% 9.58/7.19 (((~v186(constB137)) | (~v187(constB137))) | v187(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34133,plain,
% 9.58/7.19 ((~v186(constB137)) | (~v187(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34132, 34131])).
% 9.58/7.19 tff(34134,plain,
% 9.58/7.19 ((~(v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137)))))) | (~v185(constB137)) | (~((~v186(constB137)) | (~v187(constB137))))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34135,plain,
% 9.58/7.19 (~v185(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34134, 34133, 34079])).
% 9.58/7.19 tff(34136,plain,
% 9.58/7.19 ((~(v181(constB137) | v185(constB137))) | v181(constB137) | v185(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34137,plain,
% 9.58/7.19 (~(v181(constB137) | v185(constB137))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34136, 34135, 34077])).
% 9.58/7.19 tff(34138,plain,
% 9.58/7.19 ((~(v178(constB137) <=> (v181(constB137) | v185(constB137)))) | (~v178(constB137)) | (v181(constB137) | v185(constB137))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34139,plain,
% 9.58/7.19 (~v178(constB137)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34138, 34137, 34004])).
% 9.58/7.19 tff(34140,plain,
% 9.58/7.19 ((~(v180(constB138) <=> v178(constB137))) | (~v180(constB138)) | v178(constB137)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34141,plain,
% 9.58/7.19 (~v180(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34140, 34139, 34002])).
% 9.58/7.19 tff(34142,plain,
% 9.58/7.19 ((~(v157(constB138) <=> v180(constB138))) | (~v157(constB138)) | v180(constB138)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34143,plain,
% 9.58/7.19 (~v157(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34142, 34141, 33998])).
% 9.58/7.19 tff(34144,plain,
% 9.58/7.19 (((~v157(constB138)) | (~v182(constB138))) | v157(constB138)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34145,plain,
% 9.58/7.19 ((~v157(constB138)) | (~v182(constB138))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34144, 34143])).
% 9.58/7.19 tff(34146,plain,
% 9.58/7.19 ((~(v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138)))))) | (~v181(constB138)) | (~((~v157(constB138)) | (~v182(constB138))))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34147,plain,
% 9.58/7.19 (~v181(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34146, 34145, 33996])).
% 9.58/7.19 tff(34148,plain,
% 9.58/7.19 ((~(v181(constB138) | v185(constB138))) | v181(constB138) | v185(constB138)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34149,plain,
% 9.58/7.19 (~(v181(constB138) | v185(constB138))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34148, 34147, 33989])).
% 9.58/7.19 tff(34150,plain,
% 9.58/7.19 ((~(v178(constB138) <=> (v181(constB138) | v185(constB138)))) | (~v178(constB138)) | (v181(constB138) | v185(constB138))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34151,plain,
% 9.58/7.19 (~v178(constB138)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34150, 34149, 33964])).
% 9.58/7.19 tff(34152,plain,
% 9.58/7.19 ((~(v180(constB139) <=> v178(constB138))) | (~v180(constB139)) | v178(constB138)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34153,plain,
% 9.58/7.19 (~v180(constB139)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34152, 34151, 33962])).
% 9.58/7.19 tff(34154,plain,
% 9.58/7.19 ($false),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34153, 33958])).
% 9.58/7.19 tff(34155,plain,(~(constB139 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.19 tff(34156,assumption,(constB65 = VarCurr!0), introduced(assumption)).
% 9.58/7.19 tff(34157,plain,
% 9.58/7.19 (v86(constB65) <=> v86(VarCurr!0)),
% 9.58/7.19 inference(monotonicity,[status(thm)],[34156])).
% 9.58/7.19 tff(34158,plain,
% 9.58/7.19 (v86(VarCurr!0) <=> v86(constB65)),
% 9.58/7.19 inference(symmetry,[status(thm)],[34157])).
% 9.58/7.19 tff(34159,plain,
% 9.58/7.19 ((~v86(VarCurr!0)) <=> (~v86(constB65))),
% 9.58/7.19 inference(monotonicity,[status(thm)],[34158])).
% 9.58/7.19 tff(34160,plain,
% 9.58/7.19 (~v86(constB65)),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[26079, 34159])).
% 9.58/7.19 tff(34161,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB65) | (~v142(constB65)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34162,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB65) | (~v142(constB65)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34163,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB65) | (~v142(constB65))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34162, 34161])).
% 9.58/7.19 tff(34164,plain,
% 9.58/7.19 (v148(constB65) | (~v142(constB65))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34163, 26138])).
% 9.58/7.19 tff(34165,plain,
% 9.58/7.19 (v148(constB65)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34164, 32141])).
% 9.58/7.19 tff(34166,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB65) <=> (v136(constB65) | v145(constB65)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34167,plain,
% 9.58/7.19 (v135(constB65) <=> (v136(constB65) | v145(constB65))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34166, 26150])).
% 9.58/7.19 tff(34168,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB65) <=> (v137(constB65) | v142(constB65)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34169,plain,
% 9.58/7.19 (v136(constB65) <=> (v137(constB65) | v142(constB65))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34168, 26159])).
% 9.58/7.19 tff(34170,plain,
% 9.58/7.19 ((v137(constB65) | v142(constB65)) | (~v142(constB65))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34171,plain,
% 9.58/7.19 (v137(constB65) | v142(constB65)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34170, 32141])).
% 9.58/7.19 tff(34172,plain,
% 9.58/7.19 ((~(v136(constB65) <=> (v137(constB65) | v142(constB65)))) | v136(constB65) | (~(v137(constB65) | v142(constB65)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34173,plain,
% 9.58/7.19 (v136(constB65)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34172, 34171, 34169])).
% 9.58/7.19 tff(34174,plain,
% 9.58/7.19 ((v136(constB65) | v145(constB65)) | (~v136(constB65))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34175,plain,
% 9.58/7.19 (v136(constB65) | v145(constB65)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34174, 34173])).
% 9.58/7.19 tff(34176,plain,
% 9.58/7.19 ((~(v135(constB65) <=> (v136(constB65) | v145(constB65)))) | v135(constB65) | (~(v136(constB65) | v145(constB65)))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34177,plain,
% 9.58/7.19 (v135(constB65)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34176, 34175, 34167])).
% 9.58/7.19 tff(34178,plain,
% 9.58/7.19 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB65)) | (v86(constB65) <=> v148(constB65)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB65)) | (v86(constB65) <=> v148(constB65)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34179,plain,
% 9.58/7.19 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB65)) | (v86(constB65) <=> v148(constB65)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34180,plain,
% 9.58/7.19 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB65)) | (v86(constB65) <=> v148(constB65))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 9.58/7.19 tff(34181,plain,
% 9.58/7.19 ((~v135(constB65)) | (v86(constB65) <=> v148(constB65))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34180, 26179])).
% 9.58/7.19 tff(34182,plain,
% 9.58/7.19 (v86(constB65) <=> v148(constB65)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34181, 34177])).
% 9.58/7.19 tff(34183,plain,
% 9.58/7.19 ((~(v86(constB65) <=> v148(constB65))) | v86(constB65) | (~v148(constB65))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34184,plain,
% 9.58/7.19 (v86(constB65)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34183, 34182, 34165])).
% 9.58/7.19 tff(34185,plain,
% 9.58/7.19 ($false),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34184, 34160])).
% 9.58/7.19 tff(34186,plain,(~(constB65 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.19 tff(34187,assumption,(constB181 = VarCurr!0), introduced(assumption)).
% 9.58/7.19 tff(34188,plain,
% 9.58/7.19 (v86(constB181) <=> v86(VarCurr!0)),
% 9.58/7.19 inference(monotonicity,[status(thm)],[34187])).
% 9.58/7.19 tff(34189,plain,
% 9.58/7.19 (v86(VarCurr!0) <=> v86(constB181)),
% 9.58/7.19 inference(symmetry,[status(thm)],[34188])).
% 9.58/7.19 tff(34190,plain,
% 9.58/7.19 ((~v86(VarCurr!0)) <=> (~v86(constB181))),
% 9.58/7.19 inference(monotonicity,[status(thm)],[34189])).
% 9.58/7.19 tff(34191,plain,
% 9.58/7.19 (~v86(constB181)),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[26079, 34190])).
% 9.58/7.19 tff(34192,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB181) <=> (v143(constB181) | v144(constB181)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34193,plain,
% 9.58/7.19 (v142(constB181) <=> (v143(constB181) | v144(constB181))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34192, 25855])).
% 9.58/7.19 tff(34194,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)))))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34195,plain,
% 9.58/7.19 ((v144(constB181) <=> (~(v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2))))) <=> (v144(constB181) <=> (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34196,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~(v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)))))),
% 9.58/7.19 inference(monotonicity,[status(thm)],[34195])).
% 9.58/7.19 tff(34197,plain,
% 9.58/7.19 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~(v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)))))),
% 9.58/7.19 inference(transitivity,[status(thm)],[34196, 34194])).
% 9.58/7.19 tff(34198,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~(v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)))))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34199,plain,
% 9.58/7.19 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34198, 34197])).
% 9.58/7.19 tff(34200,plain,
% 9.58/7.19 (v144(constB181) <=> (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)))),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34199, 26095])).
% 9.58/7.19 tff(34201,plain,
% 9.58/7.19 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB181, bitIndex2) <=> v90(constB181, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB181, bitIndex2) <=> v90(constB181, bitIndex2)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34202,plain,
% 9.58/7.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB181, bitIndex2) <=> v90(constB181, bitIndex2)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34203,plain,
% 9.58/7.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB181, bitIndex2) <=> v90(constB181, bitIndex2))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34202, 34201])).
% 9.58/7.19 tff(34204,plain,
% 9.58/7.19 (v88(constB181, bitIndex2) <=> v90(constB181, bitIndex2)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34203, 648, 372])).
% 9.58/7.19 tff(34205,plain,
% 9.58/7.19 ((~(v88(constB181, bitIndex2) <=> v90(constB181, bitIndex2))) | v88(constB181, bitIndex2) | (~v90(constB181, bitIndex2))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34206,plain,
% 9.58/7.19 (v88(constB181, bitIndex2)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34205, 24432, 34204])).
% 9.58/7.19 tff(34207,plain,
% 9.58/7.19 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB181, bitIndex0) <=> v90(constB181, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB181, bitIndex0) <=> v90(constB181, bitIndex0)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34208,plain,
% 9.58/7.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB181, bitIndex0) <=> v90(constB181, bitIndex0)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34209,plain,
% 9.58/7.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB181, bitIndex0) <=> v90(constB181, bitIndex0))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34208, 34207])).
% 9.58/7.19 tff(34210,plain,
% 9.58/7.19 (v88(constB181, bitIndex0) <=> v90(constB181, bitIndex0)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34209, 9653, 372])).
% 9.58/7.19 tff(34211,plain,
% 9.58/7.19 ((~(v88(constB181, bitIndex0) <=> v90(constB181, bitIndex0))) | (~v88(constB181, bitIndex0)) | v90(constB181, bitIndex0)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34212,plain,
% 9.58/7.19 (~v88(constB181, bitIndex0)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34211, 24463, 34210])).
% 9.58/7.19 tff(34213,plain,
% 9.58/7.19 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB181, bitIndex1) <=> v90(constB181, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB181, bitIndex1) <=> v90(constB181, bitIndex1)))),
% 9.58/7.19 inference(rewrite,[status(thm)],[])).
% 9.58/7.19 tff(34214,plain,
% 9.58/7.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB181, bitIndex1) <=> v90(constB181, bitIndex1)))),
% 9.58/7.19 inference(quant_inst,[status(thm)],[])).
% 9.58/7.19 tff(34215,plain,
% 9.58/7.19 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB181, bitIndex1) <=> v90(constB181, bitIndex1))),
% 9.58/7.19 inference(modus_ponens,[status(thm)],[34214, 34213])).
% 9.58/7.19 tff(34216,plain,
% 9.58/7.19 (v88(constB181, bitIndex1) <=> v90(constB181, bitIndex1)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34215, 375, 372])).
% 9.58/7.19 tff(34217,plain,
% 9.58/7.19 ((~(v88(constB181, bitIndex1) <=> v90(constB181, bitIndex1))) | v88(constB181, bitIndex1) | (~v90(constB181, bitIndex1))),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34218,plain,
% 9.58/7.19 (v88(constB181, bitIndex1)),
% 9.58/7.19 inference(unit_resolution,[status(thm)],[34217, 24494, 34216])).
% 9.58/7.19 tff(34219,plain,
% 9.58/7.19 ((~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))) | (~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)),
% 9.58/7.19 inference(tautology,[status(thm)],[])).
% 9.58/7.19 tff(34220,plain,
% 9.58/7.20 (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34219, 34218, 34212, 34206])).
% 9.58/7.20 tff(34221,plain,
% 9.58/7.20 ((~(v144(constB181) <=> (~((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))))) | v144(constB181) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34222,plain,
% 9.58/7.20 (v144(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34221, 34220, 34200])).
% 9.58/7.20 tff(34223,plain,
% 9.58/7.20 ((v143(constB181) | v144(constB181)) | (~v144(constB181))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34224,plain,
% 9.58/7.20 (v143(constB181) | v144(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34223, 34222])).
% 9.58/7.20 tff(34225,plain,
% 9.58/7.20 ((~(v142(constB181) <=> (v143(constB181) | v144(constB181)))) | v142(constB181) | (~(v143(constB181) | v144(constB181)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34226,plain,
% 9.58/7.20 (v142(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34225, 34224, 34193])).
% 9.58/7.20 tff(34227,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB181) | (~v142(constB181)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34228,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB181) | (~v142(constB181)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34229,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB181) | (~v142(constB181))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34228, 34227])).
% 9.58/7.20 tff(34230,plain,
% 9.58/7.20 (v148(constB181) | (~v142(constB181))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34229, 26138])).
% 9.58/7.20 tff(34231,plain,
% 9.58/7.20 (v148(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34230, 34226])).
% 9.58/7.20 tff(34232,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB181) <=> (v136(constB181) | v145(constB181)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34233,plain,
% 9.58/7.20 (v135(constB181) <=> (v136(constB181) | v145(constB181))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34232, 26150])).
% 9.58/7.20 tff(34234,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB181) <=> (v137(constB181) | v142(constB181)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34235,plain,
% 9.58/7.20 (v136(constB181) <=> (v137(constB181) | v142(constB181))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34234, 26159])).
% 9.58/7.20 tff(34236,plain,
% 9.58/7.20 ((v137(constB181) | v142(constB181)) | (~v142(constB181))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34237,plain,
% 9.58/7.20 (v137(constB181) | v142(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34236, 34226])).
% 9.58/7.20 tff(34238,plain,
% 9.58/7.20 ((~(v136(constB181) <=> (v137(constB181) | v142(constB181)))) | v136(constB181) | (~(v137(constB181) | v142(constB181)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34239,plain,
% 9.58/7.20 (v136(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34238, 34237, 34235])).
% 9.58/7.20 tff(34240,plain,
% 9.58/7.20 ((v136(constB181) | v145(constB181)) | (~v136(constB181))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34241,plain,
% 9.58/7.20 (v136(constB181) | v145(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34240, 34239])).
% 9.58/7.20 tff(34242,plain,
% 9.58/7.20 ((~(v135(constB181) <=> (v136(constB181) | v145(constB181)))) | v135(constB181) | (~(v136(constB181) | v145(constB181)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34243,plain,
% 9.58/7.20 (v135(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34242, 34241, 34233])).
% 9.58/7.20 tff(34244,plain,
% 9.58/7.20 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB181)) | (v86(constB181) <=> v148(constB181)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB181)) | (v86(constB181) <=> v148(constB181)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34245,plain,
% 9.58/7.20 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB181)) | (v86(constB181) <=> v148(constB181)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34246,plain,
% 9.58/7.20 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB181)) | (v86(constB181) <=> v148(constB181))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34245, 34244])).
% 9.58/7.20 tff(34247,plain,
% 9.58/7.20 ((~v135(constB181)) | (v86(constB181) <=> v148(constB181))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34246, 26179])).
% 9.58/7.20 tff(34248,plain,
% 9.58/7.20 (v86(constB181) <=> v148(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34247, 34243])).
% 9.58/7.20 tff(34249,plain,
% 9.58/7.20 ((~(v86(constB181) <=> v148(constB181))) | v86(constB181) | (~v148(constB181))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34250,plain,
% 9.58/7.20 (v86(constB181)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34249, 34248, 34231])).
% 9.58/7.20 tff(34251,plain,
% 9.58/7.20 ($false),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34250, 34191])).
% 9.58/7.20 tff(34252,plain,(~(constB181 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.20 tff(34253,assumption,(constB45 = VarCurr!0), introduced(assumption)).
% 9.58/7.20 tff(34254,plain,
% 9.58/7.20 (v180(constB45) <=> v180(VarCurr!0)),
% 9.58/7.20 inference(monotonicity,[status(thm)],[34253])).
% 9.58/7.20 tff(34255,plain,
% 9.58/7.20 (v180(VarCurr!0) <=> v180(constB45)),
% 9.58/7.20 inference(symmetry,[status(thm)],[34254])).
% 9.58/7.20 tff(34256,plain,
% 9.58/7.20 (v180(constB45)),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[59, 34255])).
% 9.58/7.20 tff(34257,plain,
% 9.58/7.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB44, constB45)) | (v180(constB45) <=> v178(constB44)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB44, constB45)) | (v180(constB45) <=> v178(constB44)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34258,plain,
% 9.58/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB44, constB45)) | (v180(constB45) <=> v178(constB44)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34259,plain,
% 9.58/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB44, constB45)) | (v180(constB45) <=> v178(constB44))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34258, 34257])).
% 9.58/7.20 tff(34260,plain,
% 9.58/7.20 (v180(constB45) <=> v178(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34259, 7579, 70])).
% 9.58/7.20 tff(34261,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB44) <=> (v181(constB44) | v185(constB44)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34262,plain,
% 9.58/7.20 (v178(constB44) <=> (v181(constB44) | v185(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34261, 84])).
% 9.58/7.20 tff(34263,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB44) <=> (~((~v186(constB44)) | (~v187(constB44)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34264,plain,
% 9.58/7.20 (v185(constB44) <=> (~((~v186(constB44)) | (~v187(constB44))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34263, 96])).
% 9.58/7.20 tff(34265,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB44) <=> (~((~v184(constB44)) | (~v159(constB44)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34266,plain,
% 9.58/7.20 (v187(constB44) <=> (~((~v184(constB44)) | (~v159(constB44))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34265, 108])).
% 9.58/7.20 tff(34267,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34268,plain,
% 9.58/7.20 (v184(constB44) <=> (~((~v39(constB44)) | (~v9(constB44))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34267, 120])).
% 9.58/7.20 tff(34269,plain,
% 9.58/7.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB44)) <=> v1(constB44))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34270,plain,
% 9.58/7.20 ((~v39(constB44)) <=> v1(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34269, 129])).
% 9.58/7.20 tff(34271,plain,
% 9.58/7.20 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44)) | (~v1(constB44))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34272,plain,
% 9.58/7.20 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34271, 7641])).
% 9.58/7.20 tff(34273,plain,
% 9.58/7.20 (~v39(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34272, 34270])).
% 9.58/7.20 tff(34274,plain,
% 9.58/7.20 (((~v39(constB44)) | (~v9(constB44))) | v39(constB44)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34275,plain,
% 9.58/7.20 ((~v39(constB44)) | (~v9(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34274, 34273])).
% 9.58/7.20 tff(34276,plain,
% 9.58/7.20 ((~(v184(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v184(constB44)) | (~((~v39(constB44)) | (~v9(constB44))))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34277,plain,
% 9.58/7.20 ((~(v184(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v184(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34276, 34275])).
% 9.58/7.20 tff(34278,plain,
% 9.58/7.20 (~v184(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34277, 34268])).
% 9.58/7.20 tff(34279,plain,
% 9.58/7.20 (((~v184(constB44)) | (~v159(constB44))) | v184(constB44)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34280,plain,
% 9.58/7.20 ((~v184(constB44)) | (~v159(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34279, 34278])).
% 9.58/7.20 tff(34281,plain,
% 9.58/7.20 ((~(v187(constB44) <=> (~((~v184(constB44)) | (~v159(constB44)))))) | (~v187(constB44)) | (~((~v184(constB44)) | (~v159(constB44))))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34282,plain,
% 9.58/7.20 ((~(v187(constB44) <=> (~((~v184(constB44)) | (~v159(constB44)))))) | (~v187(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34281, 34280])).
% 9.58/7.20 tff(34283,plain,
% 9.58/7.20 (~v187(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34282, 34266])).
% 9.58/7.20 tff(34284,plain,
% 9.58/7.20 (((~v186(constB44)) | (~v187(constB44))) | v187(constB44)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34285,plain,
% 9.58/7.20 ((~v186(constB44)) | (~v187(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34284, 34283])).
% 9.58/7.20 tff(34286,plain,
% 9.58/7.20 ((~(v185(constB44) <=> (~((~v186(constB44)) | (~v187(constB44)))))) | (~v185(constB44)) | (~((~v186(constB44)) | (~v187(constB44))))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34287,plain,
% 9.58/7.20 (~v185(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34286, 34285, 34264])).
% 9.58/7.20 tff(34288,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44))))))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34289,plain,
% 9.58/7.20 ((v181(constB44) <=> (~((~v182(constB44)) | (~v157(constB44))))) <=> (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44)))))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34290,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v182(constB44)) | (~v157(constB44)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44))))))),
% 9.58/7.20 inference(monotonicity,[status(thm)],[34289])).
% 9.58/7.20 tff(34291,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v182(constB44)) | (~v157(constB44)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44))))))),
% 9.58/7.20 inference(transitivity,[status(thm)],[34290, 34288])).
% 9.58/7.20 tff(34292,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v182(constB44)) | (~v157(constB44)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34293,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44)))))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34292, 34291])).
% 9.58/7.20 tff(34294,plain,
% 9.58/7.20 (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34293, 161])).
% 9.58/7.20 tff(34295,plain,
% 9.58/7.20 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB44) <=> v180(constB44))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34296,plain,
% 9.58/7.20 (v157(constB44) <=> v180(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34295, 13])).
% 9.58/7.20 tff(34297,plain,
% 9.58/7.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB43, constB44)) | (v180(constB44) <=> v178(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB43, constB44)) | (v180(constB44) <=> v178(constB43)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34298,plain,
% 9.58/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB43, constB44)) | (v180(constB44) <=> v178(constB43)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34299,plain,
% 9.58/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB43, constB44)) | (v180(constB44) <=> v178(constB43))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34298, 34297])).
% 9.58/7.20 tff(34300,plain,
% 9.58/7.20 (v180(constB44) <=> v178(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34299, 7611, 70])).
% 9.58/7.20 tff(34301,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB43) <=> (v181(constB43) | v185(constB43)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34302,plain,
% 9.58/7.20 (v178(constB43) <=> (v181(constB43) | v185(constB43))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34301, 84])).
% 9.58/7.20 tff(34303,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43))))))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34304,plain,
% 9.58/7.20 ((v181(constB43) <=> (~((~v182(constB43)) | (~v157(constB43))))) <=> (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43)))))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34305,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v182(constB43)) | (~v157(constB43)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43))))))),
% 9.58/7.20 inference(monotonicity,[status(thm)],[34304])).
% 9.58/7.20 tff(34306,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v182(constB43)) | (~v157(constB43)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43))))))),
% 9.58/7.20 inference(transitivity,[status(thm)],[34305, 34303])).
% 9.58/7.20 tff(34307,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v182(constB43)) | (~v157(constB43)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34308,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43)))))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34307, 34306])).
% 9.58/7.20 tff(34309,plain,
% 9.58/7.20 (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34308, 161])).
% 9.58/7.20 tff(34310,plain,
% 9.58/7.20 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB43)) <=> v183(constB43))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34311,plain,
% 9.58/7.20 ((~v182(constB43)) <=> v183(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34310, 193])).
% 9.58/7.20 tff(34312,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB43) <=> (v184(constB43) | v26(constB43)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34313,plain,
% 9.58/7.20 (v183(constB43) <=> (v184(constB43) | v26(constB43))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34312, 202])).
% 9.58/7.20 tff(34314,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB43) <=> (~((~v39(constB43)) | (~v9(constB43)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34315,plain,
% 9.58/7.20 (v184(constB43) <=> (~((~v39(constB43)) | (~v9(constB43))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34314, 120])).
% 9.58/7.20 tff(34316,plain,
% 9.58/7.20 (((~![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)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34317,plain,
% 9.58/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34318,plain,
% 9.58/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34317, 34316])).
% 9.58/7.20 tff(34319,plain,
% 9.58/7.20 (v13(constB44) <=> v9(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34318, 7611, 216])).
% 9.58/7.20 tff(34320,plain,
% 9.58/7.20 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB44) <=> v13(constB44))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34321,plain,
% 9.58/7.20 (v6(constB44) <=> v13(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34320, 230])).
% 9.58/7.20 tff(34322,plain,
% 9.58/7.20 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB44)) <=> v6(constB44))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34323,plain,
% 9.58/7.20 ((~v21(constB44)) <=> v6(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34322, 239])).
% 9.58/7.20 tff(34324,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB44) <=> (v20(constB44) | v21(constB44)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34325,plain,
% 9.58/7.20 (v19(constB44) <=> (v20(constB44) | v21(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34324, 248])).
% 9.58/7.20 tff(34326,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34327,plain,
% 9.58/7.20 (v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34326, 260])).
% 9.58/7.20 tff(34328,plain,
% 9.58/7.20 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB44)) <=> v18(constB44))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34329,plain,
% 9.58/7.20 ((~v4(constB44)) <=> v18(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34328, 269])).
% 9.58/7.20 tff(34330,plain,
% 9.58/7.20 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB44)),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34331,plain,
% 9.58/7.20 (v4(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34330, 278])).
% 9.58/7.20 tff(34332,plain,
% 9.58/7.20 ((~((~v4(constB44)) <=> v18(constB44))) | (~v4(constB44)) | (~v18(constB44))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34333,plain,
% 9.58/7.20 (~v18(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34332, 34331, 34329])).
% 9.58/7.20 tff(34334,plain,
% 9.58/7.20 ((~(v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44)))))) | v18(constB44) | ((~v19(constB44)) | (~v22(constB44)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34335,plain,
% 9.58/7.20 ((~v19(constB44)) | (~v22(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34334, 34333, 34327])).
% 9.58/7.20 tff(34336,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB44) <=> (v1(constB44) | v6(constB44)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34337,plain,
% 9.58/7.20 (v22(constB44) <=> (v1(constB44) | v6(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34336, 291])).
% 9.58/7.20 tff(34338,plain,
% 9.58/7.20 ((v1(constB44) | v6(constB44)) | (~v1(constB44))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34339,plain,
% 9.58/7.20 (v1(constB44) | v6(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34338, 7641])).
% 9.58/7.20 tff(34340,plain,
% 9.58/7.20 ((~(v22(constB44) <=> (v1(constB44) | v6(constB44)))) | v22(constB44) | (~(v1(constB44) | v6(constB44)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34341,plain,
% 9.58/7.20 ((~(v22(constB44) <=> (v1(constB44) | v6(constB44)))) | v22(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34340, 34339])).
% 9.58/7.20 tff(34342,plain,
% 9.58/7.20 (v22(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34341, 34337])).
% 9.58/7.20 tff(34343,plain,
% 9.58/7.20 ((~((~v19(constB44)) | (~v22(constB44)))) | (~v19(constB44)) | (~v22(constB44))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34344,plain,
% 9.58/7.20 ((~((~v19(constB44)) | (~v22(constB44)))) | (~v19(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34343, 34342])).
% 9.58/7.20 tff(34345,plain,
% 9.58/7.20 (~v19(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34344, 34335])).
% 9.58/7.20 tff(34346,plain,
% 9.58/7.20 ((~(v19(constB44) <=> (v20(constB44) | v21(constB44)))) | v19(constB44) | (~(v20(constB44) | v21(constB44)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34347,plain,
% 9.58/7.20 (~(v20(constB44) | v21(constB44))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34346, 34345, 34325])).
% 9.58/7.20 tff(34348,plain,
% 9.58/7.20 ((v20(constB44) | v21(constB44)) | (~v21(constB44))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34349,plain,
% 9.58/7.20 (~v21(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34348, 34347])).
% 9.58/7.20 tff(34350,plain,
% 9.58/7.20 ((~((~v21(constB44)) <=> v6(constB44))) | v21(constB44) | v6(constB44)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34351,plain,
% 9.58/7.20 (v6(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34350, 34349, 34323])).
% 9.58/7.20 tff(34352,plain,
% 9.58/7.20 ((~(v6(constB44) <=> v13(constB44))) | (~v6(constB44)) | v13(constB44)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34353,plain,
% 9.58/7.20 (v13(constB44)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34352, 34351, 34321])).
% 9.58/7.20 tff(34354,plain,
% 9.58/7.20 ((~(v13(constB44) <=> v9(constB43))) | (~v13(constB44)) | v9(constB43)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34355,plain,
% 9.58/7.20 (v9(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34354, 34353, 34319])).
% 9.58/7.20 tff(34356,plain,
% 9.58/7.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB43)) <=> v1(constB43))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34357,plain,
% 9.58/7.20 ((~v39(constB43)) <=> v1(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34356, 129])).
% 9.58/7.20 tff(34358,plain,
% 9.58/7.20 ((~((~v39(constB43)) <=> v1(constB43))) | v39(constB43) | v1(constB43)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34359,plain,
% 9.58/7.20 ((~((~v39(constB43)) <=> v1(constB43))) | v39(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34358, 7633])).
% 9.58/7.20 tff(34360,plain,
% 9.58/7.20 (v39(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34359, 34357])).
% 9.58/7.20 tff(34361,plain,
% 9.58/7.20 ((~((~v39(constB43)) | (~v9(constB43)))) | (~v39(constB43)) | (~v9(constB43))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34362,plain,
% 9.58/7.20 ((~((~v39(constB43)) | (~v9(constB43)))) | (~v9(constB43))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34361, 34360])).
% 9.58/7.20 tff(34363,plain,
% 9.58/7.20 (~((~v39(constB43)) | (~v9(constB43)))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34362, 34355])).
% 9.58/7.20 tff(34364,plain,
% 9.58/7.20 ((~(v184(constB43) <=> (~((~v39(constB43)) | (~v9(constB43)))))) | v184(constB43) | ((~v39(constB43)) | (~v9(constB43)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34365,plain,
% 9.58/7.20 (v184(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34364, 34363, 34315])).
% 9.58/7.20 tff(34366,plain,
% 9.58/7.20 ((v184(constB43) | v26(constB43)) | (~v184(constB43))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34367,plain,
% 9.58/7.20 (v184(constB43) | v26(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34366, 34365])).
% 9.58/7.20 tff(34368,plain,
% 9.58/7.20 ((~(v183(constB43) <=> (v184(constB43) | v26(constB43)))) | v183(constB43) | (~(v184(constB43) | v26(constB43)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34369,plain,
% 9.58/7.20 (v183(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34368, 34367, 34313])).
% 9.58/7.20 tff(34370,plain,
% 9.58/7.20 ((~((~v182(constB43)) <=> v183(constB43))) | (~v182(constB43)) | (~v183(constB43))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34371,plain,
% 9.58/7.20 (~v182(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34370, 34369, 34311])).
% 9.58/7.20 tff(34372,plain,
% 9.58/7.20 (((~v157(constB43)) | (~v182(constB43))) | v182(constB43)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34373,plain,
% 9.58/7.20 ((~v157(constB43)) | (~v182(constB43))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34372, 34371])).
% 9.58/7.20 tff(34374,plain,
% 9.58/7.20 ((~(v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43)))))) | (~v181(constB43)) | (~((~v157(constB43)) | (~v182(constB43))))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34375,plain,
% 9.58/7.20 (~v181(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34374, 34373, 34309])).
% 9.58/7.20 tff(34376,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB43) <=> (~((~v186(constB43)) | (~v187(constB43)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34377,plain,
% 9.58/7.20 (v185(constB43) <=> (~((~v186(constB43)) | (~v187(constB43))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34376, 96])).
% 9.58/7.20 tff(34378,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB43) <=> (~((~v184(constB43)) | (~v159(constB43)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34379,plain,
% 9.58/7.20 (v187(constB43) <=> (~((~v184(constB43)) | (~v159(constB43))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34378, 108])).
% 9.58/7.20 tff(34380,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB43) <=> v161(constB43))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34381,plain,
% 9.58/7.20 (v159(constB43) <=> v161(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34380, 345])).
% 9.58/7.20 tff(34382,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB43) <=> (~(v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34383,plain,
% 9.58/7.20 (v139(constB43) <=> (~(v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2)))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34382, 360])).
% 9.58/7.20 tff(34384,plain,
% 9.58/7.20 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB43, bitIndex1) <=> v90(constB43, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB43, bitIndex1) <=> v90(constB43, bitIndex1)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34385,plain,
% 9.58/7.20 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB43, bitIndex1) <=> v90(constB43, bitIndex1)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34386,plain,
% 9.58/7.20 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB43, bitIndex1) <=> v90(constB43, bitIndex1))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 9.58/7.20 tff(34387,plain,
% 9.58/7.20 (v88(constB43, bitIndex1) <=> v90(constB43, bitIndex1)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34386, 375, 372])).
% 9.58/7.20 tff(34388,plain,
% 9.58/7.20 ((~(v88(constB43, bitIndex1) <=> v90(constB43, bitIndex1))) | v88(constB43, bitIndex1) | (~v90(constB43, bitIndex1))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34389,plain,
% 9.58/7.20 (v88(constB43, bitIndex1)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34388, 13308, 34387])).
% 9.58/7.20 tff(34390,plain,
% 9.58/7.20 ((v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2)) | (~v88(constB43, bitIndex1))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34391,plain,
% 9.58/7.20 (v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34390, 34389])).
% 9.58/7.20 tff(34392,plain,
% 9.58/7.20 ((~(v139(constB43) <=> (~(v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2))))) | (~v139(constB43)) | (~(v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2)))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34393,plain,
% 9.58/7.20 (~v139(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34392, 34391, 34383])).
% 9.58/7.20 tff(34394,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0))))))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34395,plain,
% 9.58/7.20 ((v140(constB43) <=> (~(v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))))) <=> (v140(constB43) <=> (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0)))))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34396,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0))))))),
% 9.58/7.20 inference(monotonicity,[status(thm)],[34395])).
% 9.58/7.20 tff(34397,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0))))))),
% 9.58/7.20 inference(transitivity,[status(thm)],[34396, 34394])).
% 9.58/7.20 tff(34398,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34399,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0)))))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34398, 34397])).
% 9.58/7.20 tff(34400,plain,
% 9.58/7.20 (v140(constB43) <=> (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34399, 25795])).
% 9.58/7.20 tff(34401,plain,
% 9.58/7.20 ((v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0))) | (~v88(constB43, bitIndex1))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34402,plain,
% 9.58/7.20 (v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34401, 34389])).
% 9.58/7.20 tff(34403,plain,
% 9.58/7.20 ((~(v140(constB43) <=> (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0)))))) | (~v140(constB43)) | (~(v88(constB43, bitIndex2) | v88(constB43, bitIndex1) | (~v88(constB43, bitIndex0))))),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34404,plain,
% 9.58/7.20 (~v140(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34403, 34402, 34400])).
% 9.58/7.20 tff(34405,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB43) | v140(constB43) | (~v168(constB43)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB43) | v140(constB43) | (~v168(constB43)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34406,plain,
% 9.58/7.20 ((v140(constB43) | v139(constB43) | (~v168(constB43))) <=> (v139(constB43) | v140(constB43) | (~v168(constB43)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34407,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB43) | v139(constB43) | (~v168(constB43)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB43) | v140(constB43) | (~v168(constB43))))),
% 9.58/7.20 inference(monotonicity,[status(thm)],[34406])).
% 9.58/7.20 tff(34408,plain,
% 9.58/7.20 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB43) | v139(constB43) | (~v168(constB43)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB43) | v140(constB43) | (~v168(constB43)))),
% 9.58/7.20 inference(transitivity,[status(thm)],[34407, 34405])).
% 9.58/7.20 tff(34409,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB43) | v139(constB43) | (~v168(constB43)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34410,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB43) | v140(constB43) | (~v168(constB43))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34409, 34408])).
% 9.58/7.20 tff(34411,plain,
% 9.58/7.20 (v139(constB43) | v140(constB43) | (~v168(constB43))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34410, 25819])).
% 9.58/7.20 tff(34412,plain,
% 9.58/7.20 (~v168(constB43)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34411, 34404, 34393])).
% 9.58/7.20 tff(34413,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB43) <=> (v145(constB43) | v165(constB43)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34414,plain,
% 9.58/7.20 (v164(constB43) <=> (v145(constB43) | v165(constB43))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34413, 25834])).
% 9.58/7.20 tff(34415,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB43) <=> (v142(constB43) | v166(constB43)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34416,plain,
% 9.58/7.20 (v165(constB43) <=> (v142(constB43) | v166(constB43))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34415, 25846])).
% 9.58/7.20 tff(34417,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB43) <=> (v141(constB43) | v167(constB43)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34418,plain,
% 9.58/7.20 (v166(constB43) <=> (v141(constB43) | v167(constB43))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34417, 26362])).
% 9.58/7.20 tff(34419,plain,
% 9.58/7.20 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)))))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34420,plain,
% 9.58/7.20 (v141(constB43) <=> (~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0))))),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34419, 26377])).
% 9.58/7.20 tff(34421,plain,
% 9.58/7.20 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB43, bitIndex2) <=> v90(constB43, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB43, bitIndex2) <=> v90(constB43, bitIndex2)))),
% 9.58/7.20 inference(rewrite,[status(thm)],[])).
% 9.58/7.20 tff(34422,plain,
% 9.58/7.20 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB43, bitIndex2) <=> v90(constB43, bitIndex2)))),
% 9.58/7.20 inference(quant_inst,[status(thm)],[])).
% 9.58/7.20 tff(34423,plain,
% 9.58/7.20 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB43, bitIndex2) <=> v90(constB43, bitIndex2))),
% 9.58/7.20 inference(modus_ponens,[status(thm)],[34422, 34421])).
% 9.58/7.20 tff(34424,plain,
% 9.58/7.20 (v88(constB43, bitIndex2) <=> v90(constB43, bitIndex2)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34423, 648, 372])).
% 9.58/7.20 tff(34425,plain,
% 9.58/7.20 ((~(v88(constB43, bitIndex2) <=> v90(constB43, bitIndex2))) | (~v88(constB43, bitIndex2)) | v90(constB43, bitIndex2)),
% 9.58/7.20 inference(tautology,[status(thm)],[])).
% 9.58/7.20 tff(34426,plain,
% 9.58/7.20 (~v88(constB43, bitIndex2)),
% 9.58/7.20 inference(unit_resolution,[status(thm)],[34425, 13246, 34424])).
% 9.58/7.20 tff(34427,plain,
% 9.58/7.20 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB43, bitIndex0) <=> v90(constB43, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB43, bitIndex0) <=> v90(constB43, bitIndex0)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34428,plain,
% 9.58/7.21 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB43, bitIndex0) <=> v90(constB43, bitIndex0)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34429,plain,
% 9.58/7.21 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB43, bitIndex0) <=> v90(constB43, bitIndex0))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34428, 34427])).
% 9.58/7.21 tff(34430,plain,
% 9.58/7.21 (v88(constB43, bitIndex0) <=> v90(constB43, bitIndex0)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34429, 9653, 372])).
% 9.58/7.21 tff(34431,plain,
% 9.58/7.21 ((~(v88(constB43, bitIndex0) <=> v90(constB43, bitIndex0))) | v88(constB43, bitIndex0) | (~v90(constB43, bitIndex0))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34432,plain,
% 9.58/7.21 (v88(constB43, bitIndex0)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34431, 13277, 34430])).
% 9.58/7.21 tff(34433,plain,
% 9.58/7.21 ((~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)))) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34434,plain,
% 9.58/7.21 (~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34433, 34389, 34432, 34426])).
% 9.58/7.21 tff(34435,plain,
% 9.58/7.21 ((~(v141(constB43) <=> (~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)))))) | v141(constB43) | (v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34436,plain,
% 9.58/7.21 (v141(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34435, 34434, 34420])).
% 9.58/7.21 tff(34437,plain,
% 9.58/7.21 ((v141(constB43) | v167(constB43)) | (~v141(constB43))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34438,plain,
% 9.58/7.21 (v141(constB43) | v167(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34437, 34436])).
% 9.58/7.21 tff(34439,plain,
% 9.58/7.21 ((~(v166(constB43) <=> (v141(constB43) | v167(constB43)))) | v166(constB43) | (~(v141(constB43) | v167(constB43)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34440,plain,
% 9.58/7.21 (v166(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34439, 34438, 34418])).
% 9.58/7.21 tff(34441,plain,
% 9.58/7.21 ((v142(constB43) | v166(constB43)) | (~v166(constB43))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34442,plain,
% 9.58/7.21 (v142(constB43) | v166(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34441, 34440])).
% 9.58/7.21 tff(34443,plain,
% 9.58/7.21 ((~(v165(constB43) <=> (v142(constB43) | v166(constB43)))) | v165(constB43) | (~(v142(constB43) | v166(constB43)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34444,plain,
% 9.58/7.21 (v165(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34443, 34442, 34416])).
% 9.58/7.21 tff(34445,plain,
% 9.58/7.21 ((v145(constB43) | v165(constB43)) | (~v165(constB43))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34446,plain,
% 9.58/7.21 (v145(constB43) | v165(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34445, 34444])).
% 9.58/7.21 tff(34447,plain,
% 9.58/7.21 ((~(v164(constB43) <=> (v145(constB43) | v165(constB43)))) | v164(constB43) | (~(v145(constB43) | v165(constB43)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34448,plain,
% 9.58/7.21 (v164(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34447, 34446, 34414])).
% 9.58/7.21 tff(34449,plain,
% 9.58/7.21 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB43)) | (v161(constB43) <=> v168(constB43)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB43)) | (v161(constB43) <=> v168(constB43)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34450,plain,
% 9.58/7.21 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB43)) | (v161(constB43) <=> v168(constB43)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34451,plain,
% 9.58/7.21 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB43)) | (v161(constB43) <=> v168(constB43))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34450, 34449])).
% 9.58/7.21 tff(34452,plain,
% 9.58/7.21 ((~v164(constB43)) | (v161(constB43) <=> v168(constB43))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34451, 25977])).
% 9.58/7.21 tff(34453,plain,
% 9.58/7.21 (v161(constB43) <=> v168(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34452, 34448])).
% 9.58/7.21 tff(34454,plain,
% 9.58/7.21 ((~(v161(constB43) <=> v168(constB43))) | (~v161(constB43)) | v168(constB43)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34455,plain,
% 9.58/7.21 (~v161(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34454, 34453, 34412])).
% 9.58/7.21 tff(34456,plain,
% 9.58/7.21 ((~(v159(constB43) <=> v161(constB43))) | (~v159(constB43)) | v161(constB43)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34457,plain,
% 9.58/7.21 ((~(v159(constB43) <=> v161(constB43))) | (~v159(constB43))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34456, 34455])).
% 9.58/7.21 tff(34458,plain,
% 9.58/7.21 (~v159(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34457, 34381])).
% 9.58/7.21 tff(34459,plain,
% 9.58/7.21 (((~v184(constB43)) | (~v159(constB43))) | v159(constB43)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34460,plain,
% 9.58/7.21 ((~v184(constB43)) | (~v159(constB43))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34459, 34458])).
% 9.58/7.21 tff(34461,plain,
% 9.58/7.21 ((~(v187(constB43) <=> (~((~v184(constB43)) | (~v159(constB43)))))) | (~v187(constB43)) | (~((~v184(constB43)) | (~v159(constB43))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34462,plain,
% 9.58/7.21 (~v187(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34461, 34460, 34379])).
% 9.58/7.21 tff(34463,plain,
% 9.58/7.21 (((~v186(constB43)) | (~v187(constB43))) | v187(constB43)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34464,plain,
% 9.58/7.21 ((~v186(constB43)) | (~v187(constB43))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34463, 34462])).
% 9.58/7.21 tff(34465,plain,
% 9.58/7.21 ((~(v185(constB43) <=> (~((~v186(constB43)) | (~v187(constB43)))))) | (~v185(constB43)) | (~((~v186(constB43)) | (~v187(constB43))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34466,plain,
% 9.58/7.21 (~v185(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34465, 34464, 34377])).
% 9.58/7.21 tff(34467,plain,
% 9.58/7.21 ((~(v181(constB43) | v185(constB43))) | v181(constB43) | v185(constB43)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34468,plain,
% 9.58/7.21 (~(v181(constB43) | v185(constB43))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34467, 34466, 34375])).
% 9.58/7.21 tff(34469,plain,
% 9.58/7.21 ((~(v178(constB43) <=> (v181(constB43) | v185(constB43)))) | (~v178(constB43)) | (v181(constB43) | v185(constB43))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34470,plain,
% 9.58/7.21 (~v178(constB43)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34469, 34468, 34302])).
% 9.58/7.21 tff(34471,plain,
% 9.58/7.21 ((~(v180(constB44) <=> v178(constB43))) | (~v180(constB44)) | v178(constB43)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34472,plain,
% 9.58/7.21 (~v180(constB44)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34471, 34470, 34300])).
% 9.58/7.21 tff(34473,plain,
% 9.58/7.21 ((~(v157(constB44) <=> v180(constB44))) | (~v157(constB44)) | v180(constB44)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34474,plain,
% 9.58/7.21 (~v157(constB44)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34473, 34472, 34296])).
% 9.58/7.21 tff(34475,plain,
% 9.58/7.21 (((~v157(constB44)) | (~v182(constB44))) | v157(constB44)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34476,plain,
% 9.58/7.21 ((~v157(constB44)) | (~v182(constB44))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34475, 34474])).
% 9.58/7.21 tff(34477,plain,
% 9.58/7.21 ((~(v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44)))))) | (~v181(constB44)) | (~((~v157(constB44)) | (~v182(constB44))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34478,plain,
% 9.58/7.21 (~v181(constB44)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34477, 34476, 34294])).
% 9.58/7.21 tff(34479,plain,
% 9.58/7.21 ((~(v181(constB44) | v185(constB44))) | v181(constB44) | v185(constB44)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34480,plain,
% 9.58/7.21 (~(v181(constB44) | v185(constB44))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34479, 34478, 34287])).
% 9.58/7.21 tff(34481,plain,
% 9.58/7.21 ((~(v178(constB44) <=> (v181(constB44) | v185(constB44)))) | (~v178(constB44)) | (v181(constB44) | v185(constB44))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34482,plain,
% 9.58/7.21 (~v178(constB44)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34481, 34480, 34262])).
% 9.58/7.21 tff(34483,plain,
% 9.58/7.21 ((~(v180(constB45) <=> v178(constB44))) | (~v180(constB45)) | v178(constB44)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34484,plain,
% 9.58/7.21 (~v180(constB45)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34483, 34482, 34260])).
% 9.58/7.21 tff(34485,plain,
% 9.58/7.21 ($false),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34484, 34256])).
% 9.58/7.21 tff(34486,plain,(~(constB45 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.21 tff(34487,assumption,(constB27 = VarCurr!0), introduced(assumption)).
% 9.58/7.21 tff(34488,plain,
% 9.58/7.21 (v180(constB27) <=> v180(VarCurr!0)),
% 9.58/7.21 inference(monotonicity,[status(thm)],[34487])).
% 9.58/7.21 tff(34489,plain,
% 9.58/7.21 (v180(VarCurr!0) <=> v180(constB27)),
% 9.58/7.21 inference(symmetry,[status(thm)],[34488])).
% 9.58/7.21 tff(34490,plain,
% 9.58/7.21 (v180(constB27)),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[59, 34489])).
% 9.58/7.21 tff(34491,plain,
% 9.58/7.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB26, constB27)) | (v180(constB27) <=> v178(constB26)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB26, constB27)) | (v180(constB27) <=> v178(constB26)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34492,plain,
% 9.58/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB26, constB27)) | (v180(constB27) <=> v178(constB26)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34493,plain,
% 9.58/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB26, constB27)) | (v180(constB27) <=> v178(constB26))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 9.58/7.21 tff(34494,plain,
% 9.58/7.21 (v180(constB27) <=> v178(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34493, 8416, 70])).
% 9.58/7.21 tff(34495,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB26) <=> (v181(constB26) | v185(constB26)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34496,plain,
% 9.58/7.21 (v178(constB26) <=> (v181(constB26) | v185(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34495, 84])).
% 9.58/7.21 tff(34497,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB26) <=> (~((~v186(constB26)) | (~v187(constB26)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34498,plain,
% 9.58/7.21 (v185(constB26) <=> (~((~v186(constB26)) | (~v187(constB26))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34497, 96])).
% 9.58/7.21 tff(34499,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB26) <=> (~((~v184(constB26)) | (~v159(constB26)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34500,plain,
% 9.58/7.21 (v187(constB26) <=> (~((~v184(constB26)) | (~v159(constB26))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34499, 108])).
% 9.58/7.21 tff(34501,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34502,plain,
% 9.58/7.21 (v184(constB26) <=> (~((~v39(constB26)) | (~v9(constB26))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34501, 120])).
% 9.58/7.21 tff(34503,plain,
% 9.58/7.21 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB26)) <=> v1(constB26))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34504,plain,
% 9.58/7.21 ((~v39(constB26)) <=> v1(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34503, 129])).
% 9.58/7.21 tff(34505,plain,
% 9.58/7.21 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26)) | (~v1(constB26))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34506,plain,
% 9.58/7.21 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34505, 8478])).
% 9.58/7.21 tff(34507,plain,
% 9.58/7.21 (~v39(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34506, 34504])).
% 9.58/7.21 tff(34508,plain,
% 9.58/7.21 (((~v39(constB26)) | (~v9(constB26))) | v39(constB26)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34509,plain,
% 9.58/7.21 ((~v39(constB26)) | (~v9(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34508, 34507])).
% 9.58/7.21 tff(34510,plain,
% 9.58/7.21 ((~(v184(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v184(constB26)) | (~((~v39(constB26)) | (~v9(constB26))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34511,plain,
% 9.58/7.21 ((~(v184(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v184(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34510, 34509])).
% 9.58/7.21 tff(34512,plain,
% 9.58/7.21 (~v184(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34511, 34502])).
% 9.58/7.21 tff(34513,plain,
% 9.58/7.21 (((~v184(constB26)) | (~v159(constB26))) | v184(constB26)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34514,plain,
% 9.58/7.21 ((~v184(constB26)) | (~v159(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34513, 34512])).
% 9.58/7.21 tff(34515,plain,
% 9.58/7.21 ((~(v187(constB26) <=> (~((~v184(constB26)) | (~v159(constB26)))))) | (~v187(constB26)) | (~((~v184(constB26)) | (~v159(constB26))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34516,plain,
% 9.58/7.21 ((~(v187(constB26) <=> (~((~v184(constB26)) | (~v159(constB26)))))) | (~v187(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34515, 34514])).
% 9.58/7.21 tff(34517,plain,
% 9.58/7.21 (~v187(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34516, 34500])).
% 9.58/7.21 tff(34518,plain,
% 9.58/7.21 (((~v186(constB26)) | (~v187(constB26))) | v187(constB26)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34519,plain,
% 9.58/7.21 ((~v186(constB26)) | (~v187(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34518, 34517])).
% 9.58/7.21 tff(34520,plain,
% 9.58/7.21 ((~(v185(constB26) <=> (~((~v186(constB26)) | (~v187(constB26)))))) | (~v185(constB26)) | (~((~v186(constB26)) | (~v187(constB26))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34521,plain,
% 9.58/7.21 (~v185(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34520, 34519, 34498])).
% 9.58/7.21 tff(34522,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26))))))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34523,plain,
% 9.58/7.21 ((v181(constB26) <=> (~((~v182(constB26)) | (~v157(constB26))))) <=> (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26)))))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34524,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v182(constB26)) | (~v157(constB26)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26))))))),
% 9.58/7.21 inference(monotonicity,[status(thm)],[34523])).
% 9.58/7.21 tff(34525,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v182(constB26)) | (~v157(constB26)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26))))))),
% 9.58/7.21 inference(transitivity,[status(thm)],[34524, 34522])).
% 9.58/7.21 tff(34526,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v182(constB26)) | (~v157(constB26)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34527,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26)))))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34526, 34525])).
% 9.58/7.21 tff(34528,plain,
% 9.58/7.21 (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34527, 161])).
% 9.58/7.21 tff(34529,plain,
% 9.58/7.21 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB26) <=> v180(constB26))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34530,plain,
% 9.58/7.21 (v157(constB26) <=> v180(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34529, 13])).
% 9.58/7.21 tff(34531,plain,
% 9.58/7.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB25, constB26)) | (v180(constB26) <=> v178(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB25, constB26)) | (v180(constB26) <=> v178(constB25)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34532,plain,
% 9.58/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB25, constB26)) | (v180(constB26) <=> v178(constB25)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34533,plain,
% 9.58/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB25, constB26)) | (v180(constB26) <=> v178(constB25))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34532, 34531])).
% 9.58/7.21 tff(34534,plain,
% 9.58/7.21 (v180(constB26) <=> v178(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34533, 8448, 70])).
% 9.58/7.21 tff(34535,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB25) <=> (v181(constB25) | v185(constB25)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34536,plain,
% 9.58/7.21 (v178(constB25) <=> (v181(constB25) | v185(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34535, 84])).
% 9.58/7.21 tff(34537,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25))))))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34538,plain,
% 9.58/7.21 ((v181(constB25) <=> (~((~v182(constB25)) | (~v157(constB25))))) <=> (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25)))))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34539,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v182(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25))))))),
% 9.58/7.21 inference(monotonicity,[status(thm)],[34538])).
% 9.58/7.21 tff(34540,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v182(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25))))))),
% 9.58/7.21 inference(transitivity,[status(thm)],[34539, 34537])).
% 9.58/7.21 tff(34541,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v182(constB25)) | (~v157(constB25)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34542,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25)))))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34541, 34540])).
% 9.58/7.21 tff(34543,plain,
% 9.58/7.21 (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34542, 161])).
% 9.58/7.21 tff(34544,plain,
% 9.58/7.21 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB25)) <=> v183(constB25))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34545,plain,
% 9.58/7.21 ((~v182(constB25)) <=> v183(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34544, 193])).
% 9.58/7.21 tff(34546,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB25) <=> (v184(constB25) | v26(constB25)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34547,plain,
% 9.58/7.21 (v183(constB25) <=> (v184(constB25) | v26(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34546, 202])).
% 9.58/7.21 tff(34548,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34549,plain,
% 9.58/7.21 (v184(constB25) <=> (~((~v39(constB25)) | (~v9(constB25))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34548, 120])).
% 9.58/7.21 tff(34550,plain,
% 9.58/7.21 (((~![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)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34551,plain,
% 9.58/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34552,plain,
% 9.58/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34551, 34550])).
% 9.58/7.21 tff(34553,plain,
% 9.58/7.21 (v13(constB26) <=> v9(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34552, 8448, 216])).
% 9.58/7.21 tff(34554,plain,
% 9.58/7.21 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB26) <=> v13(constB26))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34555,plain,
% 9.58/7.21 (v6(constB26) <=> v13(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34554, 230])).
% 9.58/7.21 tff(34556,plain,
% 9.58/7.21 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB26)) <=> v6(constB26))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34557,plain,
% 9.58/7.21 ((~v21(constB26)) <=> v6(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34556, 239])).
% 9.58/7.21 tff(34558,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB26) <=> (v20(constB26) | v21(constB26)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34559,plain,
% 9.58/7.21 (v19(constB26) <=> (v20(constB26) | v21(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34558, 248])).
% 9.58/7.21 tff(34560,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34561,plain,
% 9.58/7.21 (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34560, 260])).
% 9.58/7.21 tff(34562,plain,
% 9.58/7.21 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB26)) <=> v18(constB26))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34563,plain,
% 9.58/7.21 ((~v4(constB26)) <=> v18(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34562, 269])).
% 9.58/7.21 tff(34564,plain,
% 9.58/7.21 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB26)),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34565,plain,
% 9.58/7.21 (v4(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34564, 278])).
% 9.58/7.21 tff(34566,plain,
% 9.58/7.21 ((~((~v4(constB26)) <=> v18(constB26))) | (~v4(constB26)) | (~v18(constB26))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34567,plain,
% 9.58/7.21 (~v18(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34566, 34565, 34563])).
% 9.58/7.21 tff(34568,plain,
% 9.58/7.21 ((~(v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))) | v18(constB26) | ((~v19(constB26)) | (~v22(constB26)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34569,plain,
% 9.58/7.21 ((~v19(constB26)) | (~v22(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34568, 34567, 34561])).
% 9.58/7.21 tff(34570,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB26) <=> (v1(constB26) | v6(constB26)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34571,plain,
% 9.58/7.21 (v22(constB26) <=> (v1(constB26) | v6(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34570, 291])).
% 9.58/7.21 tff(34572,plain,
% 9.58/7.21 ((v1(constB26) | v6(constB26)) | (~v1(constB26))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34573,plain,
% 9.58/7.21 (v1(constB26) | v6(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34572, 8478])).
% 9.58/7.21 tff(34574,plain,
% 9.58/7.21 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26) | (~(v1(constB26) | v6(constB26)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34575,plain,
% 9.58/7.21 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34574, 34573])).
% 9.58/7.21 tff(34576,plain,
% 9.58/7.21 (v22(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34575, 34571])).
% 9.58/7.21 tff(34577,plain,
% 9.58/7.21 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26)) | (~v22(constB26))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34578,plain,
% 9.58/7.21 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34577, 34576])).
% 9.58/7.21 tff(34579,plain,
% 9.58/7.21 (~v19(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34578, 34569])).
% 9.58/7.21 tff(34580,plain,
% 9.58/7.21 ((~(v19(constB26) <=> (v20(constB26) | v21(constB26)))) | v19(constB26) | (~(v20(constB26) | v21(constB26)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34581,plain,
% 9.58/7.21 (~(v20(constB26) | v21(constB26))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34580, 34579, 34559])).
% 9.58/7.21 tff(34582,plain,
% 9.58/7.21 ((v20(constB26) | v21(constB26)) | (~v21(constB26))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34583,plain,
% 9.58/7.21 (~v21(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34582, 34581])).
% 9.58/7.21 tff(34584,plain,
% 9.58/7.21 ((~((~v21(constB26)) <=> v6(constB26))) | v21(constB26) | v6(constB26)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34585,plain,
% 9.58/7.21 (v6(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34584, 34583, 34557])).
% 9.58/7.21 tff(34586,plain,
% 9.58/7.21 ((~(v6(constB26) <=> v13(constB26))) | (~v6(constB26)) | v13(constB26)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34587,plain,
% 9.58/7.21 (v13(constB26)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34586, 34585, 34555])).
% 9.58/7.21 tff(34588,plain,
% 9.58/7.21 ((~(v13(constB26) <=> v9(constB25))) | (~v13(constB26)) | v9(constB25)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34589,plain,
% 9.58/7.21 (v9(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34588, 34587, 34553])).
% 9.58/7.21 tff(34590,plain,
% 9.58/7.21 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB25)) <=> v1(constB25))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34591,plain,
% 9.58/7.21 ((~v39(constB25)) <=> v1(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34590, 129])).
% 9.58/7.21 tff(34592,plain,
% 9.58/7.21 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25) | v1(constB25)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34593,plain,
% 9.58/7.21 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34592, 8470])).
% 9.58/7.21 tff(34594,plain,
% 9.58/7.21 (v39(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34593, 34591])).
% 9.58/7.21 tff(34595,plain,
% 9.58/7.21 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v39(constB25)) | (~v9(constB25))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34596,plain,
% 9.58/7.21 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v9(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34595, 34594])).
% 9.58/7.21 tff(34597,plain,
% 9.58/7.21 (~((~v39(constB25)) | (~v9(constB25)))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34596, 34589])).
% 9.58/7.21 tff(34598,plain,
% 9.58/7.21 ((~(v184(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))) | v184(constB25) | ((~v39(constB25)) | (~v9(constB25)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34599,plain,
% 9.58/7.21 (v184(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34598, 34597, 34549])).
% 9.58/7.21 tff(34600,plain,
% 9.58/7.21 ((v184(constB25) | v26(constB25)) | (~v184(constB25))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34601,plain,
% 9.58/7.21 (v184(constB25) | v26(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34600, 34599])).
% 9.58/7.21 tff(34602,plain,
% 9.58/7.21 ((~(v183(constB25) <=> (v184(constB25) | v26(constB25)))) | v183(constB25) | (~(v184(constB25) | v26(constB25)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34603,plain,
% 9.58/7.21 (v183(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34602, 34601, 34547])).
% 9.58/7.21 tff(34604,plain,
% 9.58/7.21 ((~((~v182(constB25)) <=> v183(constB25))) | (~v182(constB25)) | (~v183(constB25))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34605,plain,
% 9.58/7.21 (~v182(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34604, 34603, 34545])).
% 9.58/7.21 tff(34606,plain,
% 9.58/7.21 (((~v157(constB25)) | (~v182(constB25))) | v182(constB25)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34607,plain,
% 9.58/7.21 ((~v157(constB25)) | (~v182(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34606, 34605])).
% 9.58/7.21 tff(34608,plain,
% 9.58/7.21 ((~(v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25)))))) | (~v181(constB25)) | (~((~v157(constB25)) | (~v182(constB25))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34609,plain,
% 9.58/7.21 (~v181(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34608, 34607, 34543])).
% 9.58/7.21 tff(34610,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB25) <=> (~((~v186(constB25)) | (~v187(constB25)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34611,plain,
% 9.58/7.21 (v185(constB25) <=> (~((~v186(constB25)) | (~v187(constB25))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34610, 96])).
% 9.58/7.21 tff(34612,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB25) <=> (~((~v184(constB25)) | (~v159(constB25)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34613,plain,
% 9.58/7.21 (v187(constB25) <=> (~((~v184(constB25)) | (~v159(constB25))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34612, 108])).
% 9.58/7.21 tff(34614,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB25) <=> v161(constB25))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34615,plain,
% 9.58/7.21 (v159(constB25) <=> v161(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34614, 345])).
% 9.58/7.21 tff(34616,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB25) <=> (~(v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34617,plain,
% 9.58/7.21 (v139(constB25) <=> (~(v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2)))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34616, 360])).
% 9.58/7.21 tff(34618,plain,
% 9.58/7.21 ((v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex2))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34619,plain,
% 9.58/7.21 (v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34618, 26465])).
% 9.58/7.21 tff(34620,plain,
% 9.58/7.21 ((~(v139(constB25) <=> (~(v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2))))) | (~v139(constB25)) | (~(v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34621,plain,
% 9.58/7.21 (~v139(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34620, 34619, 34617])).
% 9.58/7.21 tff(34622,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0))))))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34623,plain,
% 9.58/7.21 ((v140(constB25) <=> (~(v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0))))) <=> (v140(constB25) <=> (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0)))))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34624,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0))))))),
% 9.58/7.21 inference(monotonicity,[status(thm)],[34623])).
% 9.58/7.21 tff(34625,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0))))))),
% 9.58/7.21 inference(transitivity,[status(thm)],[34624, 34622])).
% 9.58/7.21 tff(34626,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0)))))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34627,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0)))))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34626, 34625])).
% 9.58/7.21 tff(34628,plain,
% 9.58/7.21 (v140(constB25) <=> (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0))))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34627, 25795])).
% 9.58/7.21 tff(34629,plain,
% 9.58/7.21 ((v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0))) | (~v88(constB25, bitIndex2))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34630,plain,
% 9.58/7.21 (v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34629, 26465])).
% 9.58/7.21 tff(34631,plain,
% 9.58/7.21 ((~(v140(constB25) <=> (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0)))))) | (~v140(constB25)) | (~(v88(constB25, bitIndex2) | v88(constB25, bitIndex1) | (~v88(constB25, bitIndex0))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34632,plain,
% 9.58/7.21 (~v140(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34631, 34630, 34628])).
% 9.58/7.21 tff(34633,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v168(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB25) | v140(constB25) | (~v168(constB25)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34634,plain,
% 9.58/7.21 ((v140(constB25) | v139(constB25) | (~v168(constB25))) <=> (v139(constB25) | v140(constB25) | (~v168(constB25)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34635,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v168(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v168(constB25))))),
% 9.58/7.21 inference(monotonicity,[status(thm)],[34634])).
% 9.58/7.21 tff(34636,plain,
% 9.58/7.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v168(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB25) | v140(constB25) | (~v168(constB25)))),
% 9.58/7.21 inference(transitivity,[status(thm)],[34635, 34633])).
% 9.58/7.21 tff(34637,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v168(constB25)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34638,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB25) | v140(constB25) | (~v168(constB25))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34637, 34636])).
% 9.58/7.21 tff(34639,plain,
% 9.58/7.21 (v139(constB25) | v140(constB25) | (~v168(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34638, 25819])).
% 9.58/7.21 tff(34640,plain,
% 9.58/7.21 (~v168(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34639, 34632, 34621])).
% 9.58/7.21 tff(34641,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB25) <=> (v145(constB25) | v165(constB25)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34642,plain,
% 9.58/7.21 (v164(constB25) <=> (v145(constB25) | v165(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34641, 25834])).
% 9.58/7.21 tff(34643,plain,
% 9.58/7.21 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB25) <=> (v142(constB25) | v166(constB25)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34644,plain,
% 9.58/7.21 (v165(constB25) <=> (v142(constB25) | v166(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34643, 25846])).
% 9.58/7.21 tff(34645,plain,
% 9.58/7.21 ((v142(constB25) | v166(constB25)) | (~v142(constB25))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34646,plain,
% 9.58/7.21 (v142(constB25) | v166(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34645, 26485])).
% 9.58/7.21 tff(34647,plain,
% 9.58/7.21 ((~(v165(constB25) <=> (v142(constB25) | v166(constB25)))) | v165(constB25) | (~(v142(constB25) | v166(constB25)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34648,plain,
% 9.58/7.21 (v165(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34647, 34646, 34644])).
% 9.58/7.21 tff(34649,plain,
% 9.58/7.21 ((v145(constB25) | v165(constB25)) | (~v165(constB25))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34650,plain,
% 9.58/7.21 (v145(constB25) | v165(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34649, 34648])).
% 9.58/7.21 tff(34651,plain,
% 9.58/7.21 ((~(v164(constB25) <=> (v145(constB25) | v165(constB25)))) | v164(constB25) | (~(v145(constB25) | v165(constB25)))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34652,plain,
% 9.58/7.21 (v164(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34651, 34650, 34642])).
% 9.58/7.21 tff(34653,plain,
% 9.58/7.21 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB25)) | (v161(constB25) <=> v168(constB25)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB25)) | (v161(constB25) <=> v168(constB25)))),
% 9.58/7.21 inference(rewrite,[status(thm)],[])).
% 9.58/7.21 tff(34654,plain,
% 9.58/7.21 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB25)) | (v161(constB25) <=> v168(constB25)))),
% 9.58/7.21 inference(quant_inst,[status(thm)],[])).
% 9.58/7.21 tff(34655,plain,
% 9.58/7.21 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB25)) | (v161(constB25) <=> v168(constB25))),
% 9.58/7.21 inference(modus_ponens,[status(thm)],[34654, 34653])).
% 9.58/7.21 tff(34656,plain,
% 9.58/7.21 ((~v164(constB25)) | (v161(constB25) <=> v168(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34655, 25977])).
% 9.58/7.21 tff(34657,plain,
% 9.58/7.21 (v161(constB25) <=> v168(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34656, 34652])).
% 9.58/7.21 tff(34658,plain,
% 9.58/7.21 ((~(v161(constB25) <=> v168(constB25))) | (~v161(constB25)) | v168(constB25)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34659,plain,
% 9.58/7.21 (~v161(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34658, 34657, 34640])).
% 9.58/7.21 tff(34660,plain,
% 9.58/7.21 ((~(v159(constB25) <=> v161(constB25))) | (~v159(constB25)) | v161(constB25)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34661,plain,
% 9.58/7.21 ((~(v159(constB25) <=> v161(constB25))) | (~v159(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34660, 34659])).
% 9.58/7.21 tff(34662,plain,
% 9.58/7.21 (~v159(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34661, 34615])).
% 9.58/7.21 tff(34663,plain,
% 9.58/7.21 (((~v184(constB25)) | (~v159(constB25))) | v159(constB25)),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34664,plain,
% 9.58/7.21 ((~v184(constB25)) | (~v159(constB25))),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34663, 34662])).
% 9.58/7.21 tff(34665,plain,
% 9.58/7.21 ((~(v187(constB25) <=> (~((~v184(constB25)) | (~v159(constB25)))))) | (~v187(constB25)) | (~((~v184(constB25)) | (~v159(constB25))))),
% 9.58/7.21 inference(tautology,[status(thm)],[])).
% 9.58/7.21 tff(34666,plain,
% 9.58/7.21 (~v187(constB25)),
% 9.58/7.21 inference(unit_resolution,[status(thm)],[34665, 34664, 34613])).
% 9.58/7.21 tff(34667,plain,
% 9.58/7.22 (((~v186(constB25)) | (~v187(constB25))) | v187(constB25)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34668,plain,
% 9.58/7.22 ((~v186(constB25)) | (~v187(constB25))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34667, 34666])).
% 9.58/7.22 tff(34669,plain,
% 9.58/7.22 ((~(v185(constB25) <=> (~((~v186(constB25)) | (~v187(constB25)))))) | (~v185(constB25)) | (~((~v186(constB25)) | (~v187(constB25))))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34670,plain,
% 9.58/7.22 (~v185(constB25)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34669, 34668, 34611])).
% 9.58/7.22 tff(34671,plain,
% 9.58/7.22 ((~(v181(constB25) | v185(constB25))) | v181(constB25) | v185(constB25)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34672,plain,
% 9.58/7.22 (~(v181(constB25) | v185(constB25))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34671, 34670, 34609])).
% 9.58/7.22 tff(34673,plain,
% 9.58/7.22 ((~(v178(constB25) <=> (v181(constB25) | v185(constB25)))) | (~v178(constB25)) | (v181(constB25) | v185(constB25))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34674,plain,
% 9.58/7.22 (~v178(constB25)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34673, 34672, 34536])).
% 9.58/7.22 tff(34675,plain,
% 9.58/7.22 ((~(v180(constB26) <=> v178(constB25))) | (~v180(constB26)) | v178(constB25)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34676,plain,
% 9.58/7.22 (~v180(constB26)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34675, 34674, 34534])).
% 9.58/7.22 tff(34677,plain,
% 9.58/7.22 ((~(v157(constB26) <=> v180(constB26))) | (~v157(constB26)) | v180(constB26)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34678,plain,
% 9.58/7.22 (~v157(constB26)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34677, 34676, 34530])).
% 9.58/7.22 tff(34679,plain,
% 9.58/7.22 (((~v157(constB26)) | (~v182(constB26))) | v157(constB26)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34680,plain,
% 9.58/7.22 ((~v157(constB26)) | (~v182(constB26))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34679, 34678])).
% 9.58/7.22 tff(34681,plain,
% 9.58/7.22 ((~(v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26)))))) | (~v181(constB26)) | (~((~v157(constB26)) | (~v182(constB26))))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34682,plain,
% 9.58/7.22 (~v181(constB26)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34681, 34680, 34528])).
% 9.58/7.22 tff(34683,plain,
% 9.58/7.22 ((~(v181(constB26) | v185(constB26))) | v181(constB26) | v185(constB26)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34684,plain,
% 9.58/7.22 (~(v181(constB26) | v185(constB26))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34683, 34682, 34521])).
% 9.58/7.22 tff(34685,plain,
% 9.58/7.22 ((~(v178(constB26) <=> (v181(constB26) | v185(constB26)))) | (~v178(constB26)) | (v181(constB26) | v185(constB26))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34686,plain,
% 9.58/7.22 (~v178(constB26)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34685, 34684, 34496])).
% 9.58/7.22 tff(34687,plain,
% 9.58/7.22 ((~(v180(constB27) <=> v178(constB26))) | (~v180(constB27)) | v178(constB26)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34688,plain,
% 9.58/7.22 (~v180(constB27)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34687, 34686, 34494])).
% 9.58/7.22 tff(34689,plain,
% 9.58/7.22 ($false),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34688, 34490])).
% 9.58/7.22 tff(34690,plain,(~(constB27 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.22 tff(34691,assumption,(constB109 = VarCurr!0), introduced(assumption)).
% 9.58/7.22 tff(34692,plain,
% 9.58/7.22 (v86(constB109) <=> v86(VarCurr!0)),
% 9.58/7.22 inference(monotonicity,[status(thm)],[34691])).
% 9.58/7.22 tff(34693,plain,
% 9.58/7.22 (v86(VarCurr!0) <=> v86(constB109)),
% 9.58/7.22 inference(symmetry,[status(thm)],[34692])).
% 9.58/7.22 tff(34694,plain,
% 9.58/7.22 ((~v86(VarCurr!0)) <=> (~v86(constB109))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[34693])).
% 9.58/7.22 tff(34695,plain,
% 9.58/7.22 (~v86(constB109)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[26079, 34694])).
% 9.58/7.22 tff(34696,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB109) <=> (v143(constB109) | v144(constB109)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34697,plain,
% 9.58/7.22 (v142(constB109) <=> (v143(constB109) | v144(constB109))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34696, 25855])).
% 9.58/7.22 tff(34698,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)))))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34699,plain,
% 9.58/7.22 ((v144(constB109) <=> (~(v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2))))) <=> (v144(constB109) <=> (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34700,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~(v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)))))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[34699])).
% 9.58/7.22 tff(34701,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~(v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)))))),
% 9.58/7.22 inference(transitivity,[status(thm)],[34700, 34698])).
% 9.58/7.22 tff(34702,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~(v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)))))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34703,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34702, 34701])).
% 9.58/7.22 tff(34704,plain,
% 9.58/7.22 (v144(constB109) <=> (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34703, 26095])).
% 9.58/7.22 tff(34705,plain,
% 9.58/7.22 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34706,plain,
% 9.58/7.22 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34707,plain,
% 9.58/7.22 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34706, 34705])).
% 9.58/7.22 tff(34708,plain,
% 9.58/7.22 (v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34707, 648, 372])).
% 9.58/7.22 tff(34709,plain,
% 9.58/7.22 ((~(v88(constB109, bitIndex2) <=> v90(constB109, bitIndex2))) | v88(constB109, bitIndex2) | (~v90(constB109, bitIndex2))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34710,plain,
% 9.58/7.22 (v88(constB109, bitIndex2)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34709, 18576, 34708])).
% 9.58/7.22 tff(34711,plain,
% 9.58/7.22 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34712,plain,
% 9.58/7.22 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34713,plain,
% 9.58/7.22 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34712, 34711])).
% 9.58/7.22 tff(34714,plain,
% 9.58/7.22 (v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34713, 9653, 372])).
% 9.58/7.22 tff(34715,plain,
% 9.58/7.22 ((~(v88(constB109, bitIndex0) <=> v90(constB109, bitIndex0))) | (~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34716,plain,
% 9.58/7.22 (~v88(constB109, bitIndex0)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34715, 18607, 34714])).
% 9.58/7.22 tff(34717,plain,
% 9.58/7.22 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34718,plain,
% 9.58/7.22 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34719,plain,
% 9.58/7.22 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34718, 34717])).
% 9.58/7.22 tff(34720,plain,
% 9.58/7.22 (v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34719, 375, 372])).
% 9.58/7.22 tff(34721,plain,
% 9.58/7.22 ((~(v88(constB109, bitIndex1) <=> v90(constB109, bitIndex1))) | v88(constB109, bitIndex1) | (~v90(constB109, bitIndex1))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34722,plain,
% 9.58/7.22 (v88(constB109, bitIndex1)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34721, 18638, 34720])).
% 9.58/7.22 tff(34723,plain,
% 9.58/7.22 ((~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))) | (~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34724,plain,
% 9.58/7.22 (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34723, 34722, 34716, 34710])).
% 9.58/7.22 tff(34725,plain,
% 9.58/7.22 ((~(v144(constB109) <=> (~((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))))) | v144(constB109) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34726,plain,
% 9.58/7.22 (v144(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34725, 34724, 34704])).
% 9.58/7.22 tff(34727,plain,
% 9.58/7.22 ((v143(constB109) | v144(constB109)) | (~v144(constB109))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34728,plain,
% 9.58/7.22 (v143(constB109) | v144(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34727, 34726])).
% 9.58/7.22 tff(34729,plain,
% 9.58/7.22 ((~(v142(constB109) <=> (v143(constB109) | v144(constB109)))) | v142(constB109) | (~(v143(constB109) | v144(constB109)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34730,plain,
% 9.58/7.22 (v142(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34729, 34728, 34697])).
% 9.58/7.22 tff(34731,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34732,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34733,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34732, 34731])).
% 9.58/7.22 tff(34734,plain,
% 9.58/7.22 (v148(constB109) | (~v142(constB109))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34733, 26138])).
% 9.58/7.22 tff(34735,plain,
% 9.58/7.22 (v148(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34734, 34730])).
% 9.58/7.22 tff(34736,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB109) <=> (v136(constB109) | v145(constB109)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34737,plain,
% 9.58/7.22 (v135(constB109) <=> (v136(constB109) | v145(constB109))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34736, 26150])).
% 9.58/7.22 tff(34738,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB109) <=> (v137(constB109) | v142(constB109)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34739,plain,
% 9.58/7.22 (v136(constB109) <=> (v137(constB109) | v142(constB109))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34738, 26159])).
% 9.58/7.22 tff(34740,plain,
% 9.58/7.22 ((v137(constB109) | v142(constB109)) | (~v142(constB109))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34741,plain,
% 9.58/7.22 (v137(constB109) | v142(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34740, 34730])).
% 9.58/7.22 tff(34742,plain,
% 9.58/7.22 ((~(v136(constB109) <=> (v137(constB109) | v142(constB109)))) | v136(constB109) | (~(v137(constB109) | v142(constB109)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34743,plain,
% 9.58/7.22 (v136(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34742, 34741, 34739])).
% 9.58/7.22 tff(34744,plain,
% 9.58/7.22 ((v136(constB109) | v145(constB109)) | (~v136(constB109))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34745,plain,
% 9.58/7.22 (v136(constB109) | v145(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34744, 34743])).
% 9.58/7.22 tff(34746,plain,
% 9.58/7.22 ((~(v135(constB109) <=> (v136(constB109) | v145(constB109)))) | v135(constB109) | (~(v136(constB109) | v145(constB109)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34747,plain,
% 9.58/7.22 (v135(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34746, 34745, 34737])).
% 9.58/7.22 tff(34748,plain,
% 9.58/7.22 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34749,plain,
% 9.58/7.22 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34750,plain,
% 9.58/7.22 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34749, 34748])).
% 9.58/7.22 tff(34751,plain,
% 9.58/7.22 ((~v135(constB109)) | (v86(constB109) <=> v148(constB109))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34750, 26179])).
% 9.58/7.22 tff(34752,plain,
% 9.58/7.22 (v86(constB109) <=> v148(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34751, 34747])).
% 9.58/7.22 tff(34753,plain,
% 9.58/7.22 ((~(v86(constB109) <=> v148(constB109))) | v86(constB109) | (~v148(constB109))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34754,plain,
% 9.58/7.22 (v86(constB109)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34753, 34752, 34735])).
% 9.58/7.22 tff(34755,plain,
% 9.58/7.22 ($false),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34754, 34695])).
% 9.58/7.22 tff(34756,plain,(~(constB109 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.22 tff(34757,assumption,(constB185 = VarCurr!0), introduced(assumption)).
% 9.58/7.22 tff(34758,plain,
% 9.58/7.22 (v86(constB185) <=> v86(VarCurr!0)),
% 9.58/7.22 inference(monotonicity,[status(thm)],[34757])).
% 9.58/7.22 tff(34759,plain,
% 9.58/7.22 (v86(VarCurr!0) <=> v86(constB185)),
% 9.58/7.22 inference(symmetry,[status(thm)],[34758])).
% 9.58/7.22 tff(34760,plain,
% 9.58/7.22 ((~v86(VarCurr!0)) <=> (~v86(constB185))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[34759])).
% 9.58/7.22 tff(34761,plain,
% 9.58/7.22 (~v86(constB185)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[26079, 34760])).
% 9.58/7.22 tff(34762,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB185) | (~v142(constB185)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34763,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB185) | (~v142(constB185)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34764,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB185) | (~v142(constB185))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34763, 34762])).
% 9.58/7.22 tff(34765,plain,
% 9.58/7.22 (v148(constB185) | (~v142(constB185))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34764, 26138])).
% 9.58/7.22 tff(34766,plain,
% 9.58/7.22 (v148(constB185)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34765, 33603])).
% 9.58/7.22 tff(34767,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB185) <=> (v136(constB185) | v145(constB185)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34768,plain,
% 9.58/7.22 (v135(constB185) <=> (v136(constB185) | v145(constB185))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34767, 26150])).
% 9.58/7.22 tff(34769,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB185) <=> (v137(constB185) | v142(constB185)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34770,plain,
% 9.58/7.22 (v136(constB185) <=> (v137(constB185) | v142(constB185))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34769, 26159])).
% 9.58/7.22 tff(34771,plain,
% 9.58/7.22 ((v137(constB185) | v142(constB185)) | (~v142(constB185))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34772,plain,
% 9.58/7.22 (v137(constB185) | v142(constB185)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34771, 33603])).
% 9.58/7.22 tff(34773,plain,
% 9.58/7.22 ((~(v136(constB185) <=> (v137(constB185) | v142(constB185)))) | v136(constB185) | (~(v137(constB185) | v142(constB185)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34774,plain,
% 9.58/7.22 (v136(constB185)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34773, 34772, 34770])).
% 9.58/7.22 tff(34775,plain,
% 9.58/7.22 ((v136(constB185) | v145(constB185)) | (~v136(constB185))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34776,plain,
% 9.58/7.22 (v136(constB185) | v145(constB185)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34775, 34774])).
% 9.58/7.22 tff(34777,plain,
% 9.58/7.22 ((~(v135(constB185) <=> (v136(constB185) | v145(constB185)))) | v135(constB185) | (~(v136(constB185) | v145(constB185)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34778,plain,
% 9.58/7.22 (v135(constB185)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34777, 34776, 34768])).
% 9.58/7.22 tff(34779,plain,
% 9.58/7.22 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB185)) | (v86(constB185) <=> v148(constB185)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB185)) | (v86(constB185) <=> v148(constB185)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34780,plain,
% 9.58/7.22 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB185)) | (v86(constB185) <=> v148(constB185)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34781,plain,
% 9.58/7.22 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB185)) | (v86(constB185) <=> v148(constB185))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 9.58/7.22 tff(34782,plain,
% 9.58/7.22 ((~v135(constB185)) | (v86(constB185) <=> v148(constB185))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34781, 26179])).
% 9.58/7.22 tff(34783,plain,
% 9.58/7.22 (v86(constB185) <=> v148(constB185)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34782, 34778])).
% 9.58/7.22 tff(34784,plain,
% 9.58/7.22 ((~(v86(constB185) <=> v148(constB185))) | v86(constB185) | (~v148(constB185))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34785,plain,
% 9.58/7.22 (v86(constB185)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34784, 34783, 34766])).
% 9.58/7.22 tff(34786,plain,
% 9.58/7.22 ($false),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34785, 34761])).
% 9.58/7.22 tff(34787,plain,(~(constB185 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.58/7.22 tff(34788,assumption,(constB33 = VarCurr!0), introduced(assumption)).
% 9.58/7.22 tff(34789,plain,
% 9.58/7.22 (v180(constB33) <=> v180(VarCurr!0)),
% 9.58/7.22 inference(monotonicity,[status(thm)],[34788])).
% 9.58/7.22 tff(34790,plain,
% 9.58/7.22 (v180(VarCurr!0) <=> v180(constB33)),
% 9.58/7.22 inference(symmetry,[status(thm)],[34789])).
% 9.58/7.22 tff(34791,plain,
% 9.58/7.22 (v180(constB33)),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[59, 34790])).
% 9.58/7.22 tff(34792,plain,
% 9.58/7.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB32, constB33)) | (v180(constB33) <=> v178(constB32)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB32, constB33)) | (v180(constB33) <=> v178(constB32)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34793,plain,
% 9.58/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB32, constB33)) | (v180(constB33) <=> v178(constB32)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34794,plain,
% 9.58/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB32, constB33)) | (v180(constB33) <=> v178(constB32))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34793, 34792])).
% 9.58/7.22 tff(34795,plain,
% 9.58/7.22 (v180(constB33) <=> v178(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34794, 8131, 70])).
% 9.58/7.22 tff(34796,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB32) <=> (v181(constB32) | v185(constB32)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34797,plain,
% 9.58/7.22 (v178(constB32) <=> (v181(constB32) | v185(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34796, 84])).
% 9.58/7.22 tff(34798,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB32) <=> (~((~v186(constB32)) | (~v187(constB32)))))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34799,plain,
% 9.58/7.22 (v185(constB32) <=> (~((~v186(constB32)) | (~v187(constB32))))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34798, 96])).
% 9.58/7.22 tff(34800,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB32) <=> (~((~v184(constB32)) | (~v159(constB32)))))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34801,plain,
% 9.58/7.22 (v187(constB32) <=> (~((~v184(constB32)) | (~v159(constB32))))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34800, 108])).
% 9.58/7.22 tff(34802,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34803,plain,
% 9.58/7.22 (v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32))))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34802, 120])).
% 9.58/7.22 tff(34804,plain,
% 9.58/7.22 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB32)) <=> v1(constB32))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34805,plain,
% 9.58/7.22 ((~v39(constB32)) <=> v1(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34804, 129])).
% 9.58/7.22 tff(34806,plain,
% 9.58/7.22 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32)) | (~v1(constB32))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34807,plain,
% 9.58/7.22 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34806, 8193])).
% 9.58/7.22 tff(34808,plain,
% 9.58/7.22 (~v39(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34807, 34805])).
% 9.58/7.22 tff(34809,plain,
% 9.58/7.22 (((~v39(constB32)) | (~v9(constB32))) | v39(constB32)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34810,plain,
% 9.58/7.22 ((~v39(constB32)) | (~v9(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34809, 34808])).
% 9.58/7.22 tff(34811,plain,
% 9.58/7.22 ((~(v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v184(constB32)) | (~((~v39(constB32)) | (~v9(constB32))))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34812,plain,
% 9.58/7.22 ((~(v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v184(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34811, 34810])).
% 9.58/7.22 tff(34813,plain,
% 9.58/7.22 (~v184(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34812, 34803])).
% 9.58/7.22 tff(34814,plain,
% 9.58/7.22 (((~v184(constB32)) | (~v159(constB32))) | v184(constB32)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34815,plain,
% 9.58/7.22 ((~v184(constB32)) | (~v159(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34814, 34813])).
% 9.58/7.22 tff(34816,plain,
% 9.58/7.22 ((~(v187(constB32) <=> (~((~v184(constB32)) | (~v159(constB32)))))) | (~v187(constB32)) | (~((~v184(constB32)) | (~v159(constB32))))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34817,plain,
% 9.58/7.22 ((~(v187(constB32) <=> (~((~v184(constB32)) | (~v159(constB32)))))) | (~v187(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34816, 34815])).
% 9.58/7.22 tff(34818,plain,
% 9.58/7.22 (~v187(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34817, 34801])).
% 9.58/7.22 tff(34819,plain,
% 9.58/7.22 (((~v186(constB32)) | (~v187(constB32))) | v187(constB32)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34820,plain,
% 9.58/7.22 ((~v186(constB32)) | (~v187(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34819, 34818])).
% 9.58/7.22 tff(34821,plain,
% 9.58/7.22 ((~(v185(constB32) <=> (~((~v186(constB32)) | (~v187(constB32)))))) | (~v185(constB32)) | (~((~v186(constB32)) | (~v187(constB32))))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34822,plain,
% 9.58/7.22 (~v185(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34821, 34820, 34799])).
% 9.58/7.22 tff(34823,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32))))))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34824,plain,
% 9.58/7.22 ((v181(constB32) <=> (~((~v182(constB32)) | (~v157(constB32))))) <=> (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32)))))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34825,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v182(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32))))))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[34824])).
% 9.58/7.22 tff(34826,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v182(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32))))))),
% 9.58/7.22 inference(transitivity,[status(thm)],[34825, 34823])).
% 9.58/7.22 tff(34827,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v182(constB32)) | (~v157(constB32)))))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34828,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32)))))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34827, 34826])).
% 9.58/7.22 tff(34829,plain,
% 9.58/7.22 (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32))))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34828, 161])).
% 9.58/7.22 tff(34830,plain,
% 9.58/7.22 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB32) <=> v180(constB32))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34831,plain,
% 9.58/7.22 (v157(constB32) <=> v180(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34830, 13])).
% 9.58/7.22 tff(34832,plain,
% 9.58/7.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB31, constB32)) | (v180(constB32) <=> v178(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB31, constB32)) | (v180(constB32) <=> v178(constB31)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34833,plain,
% 9.58/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB31, constB32)) | (v180(constB32) <=> v178(constB31)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34834,plain,
% 9.58/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB31, constB32)) | (v180(constB32) <=> v178(constB31))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34833, 34832])).
% 9.58/7.22 tff(34835,plain,
% 9.58/7.22 (v180(constB32) <=> v178(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34834, 8163, 70])).
% 9.58/7.22 tff(34836,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB31) <=> (v181(constB31) | v185(constB31)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34837,plain,
% 9.58/7.22 (v178(constB31) <=> (v181(constB31) | v185(constB31))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34836, 84])).
% 9.58/7.22 tff(34838,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31))))))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34839,plain,
% 9.58/7.22 ((v181(constB31) <=> (~((~v182(constB31)) | (~v157(constB31))))) <=> (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31)))))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34840,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v182(constB31)) | (~v157(constB31)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31))))))),
% 9.58/7.22 inference(monotonicity,[status(thm)],[34839])).
% 9.58/7.22 tff(34841,plain,
% 9.58/7.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v182(constB31)) | (~v157(constB31)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31))))))),
% 9.58/7.22 inference(transitivity,[status(thm)],[34840, 34838])).
% 9.58/7.22 tff(34842,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v182(constB31)) | (~v157(constB31)))))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34843,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31)))))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34842, 34841])).
% 9.58/7.22 tff(34844,plain,
% 9.58/7.22 (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31))))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34843, 161])).
% 9.58/7.22 tff(34845,plain,
% 9.58/7.22 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB31)) <=> v183(constB31))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34846,plain,
% 9.58/7.22 ((~v182(constB31)) <=> v183(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34845, 193])).
% 9.58/7.22 tff(34847,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB31) <=> (v184(constB31) | v26(constB31)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34848,plain,
% 9.58/7.22 (v183(constB31) <=> (v184(constB31) | v26(constB31))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34847, 202])).
% 9.58/7.22 tff(34849,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34850,plain,
% 9.58/7.22 (v184(constB31) <=> (~((~v39(constB31)) | (~v9(constB31))))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34849, 120])).
% 9.58/7.22 tff(34851,plain,
% 9.58/7.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 9.58/7.22 inference(rewrite,[status(thm)],[])).
% 9.58/7.22 tff(34852,plain,
% 9.58/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34853,plain,
% 9.58/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31))),
% 9.58/7.22 inference(modus_ponens,[status(thm)],[34852, 34851])).
% 9.58/7.22 tff(34854,plain,
% 9.58/7.22 (v13(constB32) <=> v9(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34853, 8163, 216])).
% 9.58/7.22 tff(34855,plain,
% 9.58/7.22 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB32) <=> v13(constB32))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34856,plain,
% 9.58/7.22 (v6(constB32) <=> v13(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34855, 230])).
% 9.58/7.22 tff(34857,plain,
% 9.58/7.22 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB32)) <=> v6(constB32))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34858,plain,
% 9.58/7.22 ((~v21(constB32)) <=> v6(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34857, 239])).
% 9.58/7.22 tff(34859,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB32) <=> (v20(constB32) | v21(constB32)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34860,plain,
% 9.58/7.22 (v19(constB32) <=> (v20(constB32) | v21(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34859, 248])).
% 9.58/7.22 tff(34861,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34862,plain,
% 9.58/7.22 (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32))))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34861, 260])).
% 9.58/7.22 tff(34863,plain,
% 9.58/7.22 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB32)) <=> v18(constB32))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34864,plain,
% 9.58/7.22 ((~v4(constB32)) <=> v18(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34863, 269])).
% 9.58/7.22 tff(34865,plain,
% 9.58/7.22 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB32)),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34866,plain,
% 9.58/7.22 (v4(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34865, 278])).
% 9.58/7.22 tff(34867,plain,
% 9.58/7.22 ((~((~v4(constB32)) <=> v18(constB32))) | (~v4(constB32)) | (~v18(constB32))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34868,plain,
% 9.58/7.22 (~v18(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34867, 34866, 34864])).
% 9.58/7.22 tff(34869,plain,
% 9.58/7.22 ((~(v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))) | v18(constB32) | ((~v19(constB32)) | (~v22(constB32)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34870,plain,
% 9.58/7.22 ((~v19(constB32)) | (~v22(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34869, 34868, 34862])).
% 9.58/7.22 tff(34871,plain,
% 9.58/7.22 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB32) <=> (v1(constB32) | v6(constB32)))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34872,plain,
% 9.58/7.22 (v22(constB32) <=> (v1(constB32) | v6(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34871, 291])).
% 9.58/7.22 tff(34873,plain,
% 9.58/7.22 ((v1(constB32) | v6(constB32)) | (~v1(constB32))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34874,plain,
% 9.58/7.22 (v1(constB32) | v6(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34873, 8193])).
% 9.58/7.22 tff(34875,plain,
% 9.58/7.22 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32) | (~(v1(constB32) | v6(constB32)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34876,plain,
% 9.58/7.22 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34875, 34874])).
% 9.58/7.22 tff(34877,plain,
% 9.58/7.22 (v22(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34876, 34872])).
% 9.58/7.22 tff(34878,plain,
% 9.58/7.22 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32)) | (~v22(constB32))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34879,plain,
% 9.58/7.22 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34878, 34877])).
% 9.58/7.22 tff(34880,plain,
% 9.58/7.22 (~v19(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34879, 34870])).
% 9.58/7.22 tff(34881,plain,
% 9.58/7.22 ((~(v19(constB32) <=> (v20(constB32) | v21(constB32)))) | v19(constB32) | (~(v20(constB32) | v21(constB32)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34882,plain,
% 9.58/7.22 (~(v20(constB32) | v21(constB32))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34881, 34880, 34860])).
% 9.58/7.22 tff(34883,plain,
% 9.58/7.22 ((v20(constB32) | v21(constB32)) | (~v21(constB32))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34884,plain,
% 9.58/7.22 (~v21(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34883, 34882])).
% 9.58/7.22 tff(34885,plain,
% 9.58/7.22 ((~((~v21(constB32)) <=> v6(constB32))) | v21(constB32) | v6(constB32)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34886,plain,
% 9.58/7.22 (v6(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34885, 34884, 34858])).
% 9.58/7.22 tff(34887,plain,
% 9.58/7.22 ((~(v6(constB32) <=> v13(constB32))) | (~v6(constB32)) | v13(constB32)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34888,plain,
% 9.58/7.22 (v13(constB32)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34887, 34886, 34856])).
% 9.58/7.22 tff(34889,plain,
% 9.58/7.22 ((~(v13(constB32) <=> v9(constB31))) | (~v13(constB32)) | v9(constB31)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34890,plain,
% 9.58/7.22 (v9(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34889, 34888, 34854])).
% 9.58/7.22 tff(34891,plain,
% 9.58/7.22 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB31)) <=> v1(constB31))),
% 9.58/7.22 inference(quant_inst,[status(thm)],[])).
% 9.58/7.22 tff(34892,plain,
% 9.58/7.22 ((~v39(constB31)) <=> v1(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34891, 129])).
% 9.58/7.22 tff(34893,plain,
% 9.58/7.22 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31) | v1(constB31)),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34894,plain,
% 9.58/7.22 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34893, 8185])).
% 9.58/7.22 tff(34895,plain,
% 9.58/7.22 (v39(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34894, 34892])).
% 9.58/7.22 tff(34896,plain,
% 9.58/7.22 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v39(constB31)) | (~v9(constB31))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34897,plain,
% 9.58/7.22 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v9(constB31))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34896, 34895])).
% 9.58/7.22 tff(34898,plain,
% 9.58/7.22 (~((~v39(constB31)) | (~v9(constB31)))),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34897, 34890])).
% 9.58/7.22 tff(34899,plain,
% 9.58/7.22 ((~(v184(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))) | v184(constB31) | ((~v39(constB31)) | (~v9(constB31)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34900,plain,
% 9.58/7.22 (v184(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34899, 34898, 34850])).
% 9.58/7.22 tff(34901,plain,
% 9.58/7.22 ((v184(constB31) | v26(constB31)) | (~v184(constB31))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34902,plain,
% 9.58/7.22 (v184(constB31) | v26(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34901, 34900])).
% 9.58/7.22 tff(34903,plain,
% 9.58/7.22 ((~(v183(constB31) <=> (v184(constB31) | v26(constB31)))) | v183(constB31) | (~(v184(constB31) | v26(constB31)))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34904,plain,
% 9.58/7.22 (v183(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34903, 34902, 34848])).
% 9.58/7.22 tff(34905,plain,
% 9.58/7.22 ((~((~v182(constB31)) <=> v183(constB31))) | (~v182(constB31)) | (~v183(constB31))),
% 9.58/7.22 inference(tautology,[status(thm)],[])).
% 9.58/7.22 tff(34906,plain,
% 9.58/7.22 (~v182(constB31)),
% 9.58/7.22 inference(unit_resolution,[status(thm)],[34905, 34904, 34846])).
% 9.58/7.23 tff(34907,plain,
% 9.58/7.23 (((~v157(constB31)) | (~v182(constB31))) | v182(constB31)),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34908,plain,
% 9.58/7.23 ((~v157(constB31)) | (~v182(constB31))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34907, 34906])).
% 9.58/7.23 tff(34909,plain,
% 9.58/7.23 ((~(v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31)))))) | (~v181(constB31)) | (~((~v157(constB31)) | (~v182(constB31))))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34910,plain,
% 9.58/7.23 (~v181(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34909, 34908, 34844])).
% 9.58/7.23 tff(34911,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB31) <=> (~((~v186(constB31)) | (~v187(constB31)))))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34912,plain,
% 9.58/7.23 (v185(constB31) <=> (~((~v186(constB31)) | (~v187(constB31))))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34911, 96])).
% 9.58/7.23 tff(34913,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB31) <=> (~((~v184(constB31)) | (~v159(constB31)))))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34914,plain,
% 9.58/7.23 (v187(constB31) <=> (~((~v184(constB31)) | (~v159(constB31))))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34913, 108])).
% 9.58/7.23 tff(34915,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB31) <=> v161(constB31))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34916,plain,
% 9.58/7.23 (v159(constB31) <=> v161(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34915, 345])).
% 9.58/7.23 tff(34917,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB31) <=> (~(v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2))))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34918,plain,
% 9.58/7.23 (v139(constB31) <=> (~(v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2)))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34917, 360])).
% 9.58/7.23 tff(34919,plain,
% 9.58/7.23 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB31, bitIndex1) <=> v90(constB31, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB31, bitIndex1) <=> v90(constB31, bitIndex1)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(34920,plain,
% 9.58/7.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB31, bitIndex1) <=> v90(constB31, bitIndex1)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34921,plain,
% 9.58/7.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB31, bitIndex1) <=> v90(constB31, bitIndex1))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[34920, 34919])).
% 9.58/7.23 tff(34922,plain,
% 9.58/7.23 (v88(constB31, bitIndex1) <=> v90(constB31, bitIndex1)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34921, 375, 372])).
% 9.58/7.23 tff(34923,plain,
% 9.58/7.23 ((~(v88(constB31, bitIndex1) <=> v90(constB31, bitIndex1))) | v88(constB31, bitIndex1) | (~v90(constB31, bitIndex1))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34924,plain,
% 9.58/7.23 (v88(constB31, bitIndex1)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34923, 12332, 34922])).
% 9.58/7.23 tff(34925,plain,
% 9.58/7.23 ((v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2)) | (~v88(constB31, bitIndex1))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34926,plain,
% 9.58/7.23 (v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34925, 34924])).
% 9.58/7.23 tff(34927,plain,
% 9.58/7.23 ((~(v139(constB31) <=> (~(v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2))))) | (~v139(constB31)) | (~(v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2)))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34928,plain,
% 9.58/7.23 (~v139(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34927, 34926, 34918])).
% 9.58/7.23 tff(34929,plain,
% 9.58/7.23 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0))))))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(34930,plain,
% 9.58/7.23 ((v140(constB31) <=> (~(v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))))) <=> (v140(constB31) <=> (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0)))))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(34931,plain,
% 9.58/7.23 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0))))))),
% 9.58/7.23 inference(monotonicity,[status(thm)],[34930])).
% 9.58/7.23 tff(34932,plain,
% 9.58/7.23 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0))))))),
% 9.58/7.23 inference(transitivity,[status(thm)],[34931, 34929])).
% 9.58/7.23 tff(34933,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34934,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0)))))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[34933, 34932])).
% 9.58/7.23 tff(34935,plain,
% 9.58/7.23 (v140(constB31) <=> (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0))))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34934, 25795])).
% 9.58/7.23 tff(34936,plain,
% 9.58/7.23 ((v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0))) | (~v88(constB31, bitIndex1))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34937,plain,
% 9.58/7.23 (v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34936, 34924])).
% 9.58/7.23 tff(34938,plain,
% 9.58/7.23 ((~(v140(constB31) <=> (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0)))))) | (~v140(constB31)) | (~(v88(constB31, bitIndex2) | v88(constB31, bitIndex1) | (~v88(constB31, bitIndex0))))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34939,plain,
% 9.58/7.23 (~v140(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34938, 34937, 34935])).
% 9.58/7.23 tff(34940,plain,
% 9.58/7.23 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB31) | v140(constB31) | (~v168(constB31)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB31) | v140(constB31) | (~v168(constB31)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(34941,plain,
% 9.58/7.23 ((v140(constB31) | v139(constB31) | (~v168(constB31))) <=> (v139(constB31) | v140(constB31) | (~v168(constB31)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(34942,plain,
% 9.58/7.23 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB31) | v139(constB31) | (~v168(constB31)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB31) | v140(constB31) | (~v168(constB31))))),
% 9.58/7.23 inference(monotonicity,[status(thm)],[34941])).
% 9.58/7.23 tff(34943,plain,
% 9.58/7.23 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB31) | v139(constB31) | (~v168(constB31)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB31) | v140(constB31) | (~v168(constB31)))),
% 9.58/7.23 inference(transitivity,[status(thm)],[34942, 34940])).
% 9.58/7.23 tff(34944,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB31) | v139(constB31) | (~v168(constB31)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34945,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB31) | v140(constB31) | (~v168(constB31))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[34944, 34943])).
% 9.58/7.23 tff(34946,plain,
% 9.58/7.23 (v139(constB31) | v140(constB31) | (~v168(constB31))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34945, 25819])).
% 9.58/7.23 tff(34947,plain,
% 9.58/7.23 (~v168(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34946, 34939, 34928])).
% 9.58/7.23 tff(34948,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB31) <=> (v145(constB31) | v165(constB31)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34949,plain,
% 9.58/7.23 (v164(constB31) <=> (v145(constB31) | v165(constB31))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34948, 25834])).
% 9.58/7.23 tff(34950,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB31) <=> (v142(constB31) | v166(constB31)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34951,plain,
% 9.58/7.23 (v165(constB31) <=> (v142(constB31) | v166(constB31))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34950, 25846])).
% 9.58/7.23 tff(34952,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB31) <=> (v141(constB31) | v167(constB31)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34953,plain,
% 9.58/7.23 (v166(constB31) <=> (v141(constB31) | v167(constB31))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34952, 26362])).
% 9.58/7.23 tff(34954,plain,
% 9.58/7.23 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34955,plain,
% 9.58/7.23 (v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0))))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34954, 26377])).
% 9.58/7.23 tff(34956,plain,
% 9.58/7.23 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB31, bitIndex2) <=> v90(constB31, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB31, bitIndex2) <=> v90(constB31, bitIndex2)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(34957,plain,
% 9.58/7.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB31, bitIndex2) <=> v90(constB31, bitIndex2)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34958,plain,
% 9.58/7.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB31, bitIndex2) <=> v90(constB31, bitIndex2))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[34957, 34956])).
% 9.58/7.23 tff(34959,plain,
% 9.58/7.23 (v88(constB31, bitIndex2) <=> v90(constB31, bitIndex2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34958, 648, 372])).
% 9.58/7.23 tff(34960,plain,
% 9.58/7.23 ((~(v88(constB31, bitIndex2) <=> v90(constB31, bitIndex2))) | (~v88(constB31, bitIndex2)) | v90(constB31, bitIndex2)),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34961,plain,
% 9.58/7.23 (~v88(constB31, bitIndex2)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34960, 12270, 34959])).
% 9.58/7.23 tff(34962,plain,
% 9.58/7.23 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB31, bitIndex0) <=> v90(constB31, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB31, bitIndex0) <=> v90(constB31, bitIndex0)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(34963,plain,
% 9.58/7.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB31, bitIndex0) <=> v90(constB31, bitIndex0)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34964,plain,
% 9.58/7.23 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB31, bitIndex0) <=> v90(constB31, bitIndex0))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[34963, 34962])).
% 9.58/7.23 tff(34965,plain,
% 9.58/7.23 (v88(constB31, bitIndex0) <=> v90(constB31, bitIndex0)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34964, 9653, 372])).
% 9.58/7.23 tff(34966,plain,
% 9.58/7.23 ((~(v88(constB31, bitIndex0) <=> v90(constB31, bitIndex0))) | v88(constB31, bitIndex0) | (~v90(constB31, bitIndex0))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34967,plain,
% 9.58/7.23 (v88(constB31, bitIndex0)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34966, 12301, 34965])).
% 9.58/7.23 tff(34968,plain,
% 9.58/7.23 ((~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34969,plain,
% 9.58/7.23 (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34968, 34924, 34967, 34961])).
% 9.58/7.23 tff(34970,plain,
% 9.58/7.23 ((~(v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))))) | v141(constB31) | (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34971,plain,
% 9.58/7.23 (v141(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34970, 34969, 34955])).
% 9.58/7.23 tff(34972,plain,
% 9.58/7.23 ((v141(constB31) | v167(constB31)) | (~v141(constB31))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34973,plain,
% 9.58/7.23 (v141(constB31) | v167(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34972, 34971])).
% 9.58/7.23 tff(34974,plain,
% 9.58/7.23 ((~(v166(constB31) <=> (v141(constB31) | v167(constB31)))) | v166(constB31) | (~(v141(constB31) | v167(constB31)))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34975,plain,
% 9.58/7.23 (v166(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34974, 34973, 34953])).
% 9.58/7.23 tff(34976,plain,
% 9.58/7.23 ((v142(constB31) | v166(constB31)) | (~v166(constB31))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34977,plain,
% 9.58/7.23 (v142(constB31) | v166(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34976, 34975])).
% 9.58/7.23 tff(34978,plain,
% 9.58/7.23 ((~(v165(constB31) <=> (v142(constB31) | v166(constB31)))) | v165(constB31) | (~(v142(constB31) | v166(constB31)))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34979,plain,
% 9.58/7.23 (v165(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34978, 34977, 34951])).
% 9.58/7.23 tff(34980,plain,
% 9.58/7.23 ((v145(constB31) | v165(constB31)) | (~v165(constB31))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34981,plain,
% 9.58/7.23 (v145(constB31) | v165(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34980, 34979])).
% 9.58/7.23 tff(34982,plain,
% 9.58/7.23 ((~(v164(constB31) <=> (v145(constB31) | v165(constB31)))) | v164(constB31) | (~(v145(constB31) | v165(constB31)))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34983,plain,
% 9.58/7.23 (v164(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34982, 34981, 34949])).
% 9.58/7.23 tff(34984,plain,
% 9.58/7.23 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB31)) | (v161(constB31) <=> v168(constB31)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB31)) | (v161(constB31) <=> v168(constB31)))),
% 9.58/7.23 inference(rewrite,[status(thm)],[])).
% 9.58/7.23 tff(34985,plain,
% 9.58/7.23 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB31)) | (v161(constB31) <=> v168(constB31)))),
% 9.58/7.23 inference(quant_inst,[status(thm)],[])).
% 9.58/7.23 tff(34986,plain,
% 9.58/7.23 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB31)) | (v161(constB31) <=> v168(constB31))),
% 9.58/7.23 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 9.58/7.23 tff(34987,plain,
% 9.58/7.23 ((~v164(constB31)) | (v161(constB31) <=> v168(constB31))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34986, 25977])).
% 9.58/7.23 tff(34988,plain,
% 9.58/7.23 (v161(constB31) <=> v168(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34987, 34983])).
% 9.58/7.23 tff(34989,plain,
% 9.58/7.23 ((~(v161(constB31) <=> v168(constB31))) | (~v161(constB31)) | v168(constB31)),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34990,plain,
% 9.58/7.23 (~v161(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34989, 34988, 34947])).
% 9.58/7.23 tff(34991,plain,
% 9.58/7.23 ((~(v159(constB31) <=> v161(constB31))) | (~v159(constB31)) | v161(constB31)),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34992,plain,
% 9.58/7.23 ((~(v159(constB31) <=> v161(constB31))) | (~v159(constB31))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34991, 34990])).
% 9.58/7.23 tff(34993,plain,
% 9.58/7.23 (~v159(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34992, 34916])).
% 9.58/7.23 tff(34994,plain,
% 9.58/7.23 (((~v184(constB31)) | (~v159(constB31))) | v159(constB31)),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34995,plain,
% 9.58/7.23 ((~v184(constB31)) | (~v159(constB31))),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34994, 34993])).
% 9.58/7.23 tff(34996,plain,
% 9.58/7.23 ((~(v187(constB31) <=> (~((~v184(constB31)) | (~v159(constB31)))))) | (~v187(constB31)) | (~((~v184(constB31)) | (~v159(constB31))))),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34997,plain,
% 9.58/7.23 (~v187(constB31)),
% 9.58/7.23 inference(unit_resolution,[status(thm)],[34996, 34995, 34914])).
% 9.58/7.23 tff(34998,plain,
% 9.58/7.23 (((~v186(constB31)) | (~v187(constB31))) | v187(constB31)),
% 9.58/7.23 inference(tautology,[status(thm)],[])).
% 9.58/7.23 tff(34999,plain,
% 9.58/7.23 ((~v186(constB31)) | (~v187(constB31))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[34998, 34997])).
% 9.66/7.23 tff(35000,plain,
% 9.66/7.23 ((~(v185(constB31) <=> (~((~v186(constB31)) | (~v187(constB31)))))) | (~v185(constB31)) | (~((~v186(constB31)) | (~v187(constB31))))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35001,plain,
% 9.66/7.23 (~v185(constB31)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35000, 34999, 34912])).
% 9.66/7.23 tff(35002,plain,
% 9.66/7.23 ((~(v181(constB31) | v185(constB31))) | v181(constB31) | v185(constB31)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35003,plain,
% 9.66/7.23 (~(v181(constB31) | v185(constB31))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35002, 35001, 34910])).
% 9.66/7.23 tff(35004,plain,
% 9.66/7.23 ((~(v178(constB31) <=> (v181(constB31) | v185(constB31)))) | (~v178(constB31)) | (v181(constB31) | v185(constB31))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35005,plain,
% 9.66/7.23 (~v178(constB31)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35004, 35003, 34837])).
% 9.66/7.23 tff(35006,plain,
% 9.66/7.23 ((~(v180(constB32) <=> v178(constB31))) | (~v180(constB32)) | v178(constB31)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35007,plain,
% 9.66/7.23 (~v180(constB32)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35006, 35005, 34835])).
% 9.66/7.23 tff(35008,plain,
% 9.66/7.23 ((~(v157(constB32) <=> v180(constB32))) | (~v157(constB32)) | v180(constB32)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35009,plain,
% 9.66/7.23 (~v157(constB32)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35008, 35007, 34831])).
% 9.66/7.23 tff(35010,plain,
% 9.66/7.23 (((~v157(constB32)) | (~v182(constB32))) | v157(constB32)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35011,plain,
% 9.66/7.23 ((~v157(constB32)) | (~v182(constB32))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35010, 35009])).
% 9.66/7.23 tff(35012,plain,
% 9.66/7.23 ((~(v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32)))))) | (~v181(constB32)) | (~((~v157(constB32)) | (~v182(constB32))))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35013,plain,
% 9.66/7.23 (~v181(constB32)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35012, 35011, 34829])).
% 9.66/7.23 tff(35014,plain,
% 9.66/7.23 ((~(v181(constB32) | v185(constB32))) | v181(constB32) | v185(constB32)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35015,plain,
% 9.66/7.23 (~(v181(constB32) | v185(constB32))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35014, 35013, 34822])).
% 9.66/7.23 tff(35016,plain,
% 9.66/7.23 ((~(v178(constB32) <=> (v181(constB32) | v185(constB32)))) | (~v178(constB32)) | (v181(constB32) | v185(constB32))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35017,plain,
% 9.66/7.23 (~v178(constB32)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35016, 35015, 34797])).
% 9.66/7.23 tff(35018,plain,
% 9.66/7.23 ((~(v180(constB33) <=> v178(constB32))) | (~v180(constB33)) | v178(constB32)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35019,plain,
% 9.66/7.23 (~v180(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35018, 35017, 34795])).
% 9.66/7.23 tff(35020,plain,
% 9.66/7.23 ($false),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35019, 34791])).
% 9.66/7.23 tff(35021,plain,(~(constB33 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.66/7.23 tff(35022,assumption,(constB35 = VarCurr!0), introduced(assumption)).
% 9.66/7.23 tff(35023,plain,
% 9.66/7.23 (v180(constB35) <=> v180(VarCurr!0)),
% 9.66/7.23 inference(monotonicity,[status(thm)],[35022])).
% 9.66/7.23 tff(35024,plain,
% 9.66/7.23 (v180(VarCurr!0) <=> v180(constB35)),
% 9.66/7.23 inference(symmetry,[status(thm)],[35023])).
% 9.66/7.23 tff(35025,plain,
% 9.66/7.23 (v180(constB35)),
% 9.66/7.23 inference(modus_ponens,[status(thm)],[59, 35024])).
% 9.66/7.23 tff(35026,plain,
% 9.66/7.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB34, constB35)) | (v180(constB35) <=> v178(constB34)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB34, constB35)) | (v180(constB35) <=> v178(constB34)))),
% 9.66/7.23 inference(rewrite,[status(thm)],[])).
% 9.66/7.23 tff(35027,plain,
% 9.66/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB34, constB35)) | (v180(constB35) <=> v178(constB34)))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35028,plain,
% 9.66/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB34, constB35)) | (v180(constB35) <=> v178(constB34))),
% 9.66/7.23 inference(modus_ponens,[status(thm)],[35027, 35026])).
% 9.66/7.23 tff(35029,plain,
% 9.66/7.23 (v180(constB35) <=> v178(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35028, 8040, 70])).
% 9.66/7.23 tff(35030,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB34) <=> (v181(constB34) | v185(constB34)))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35031,plain,
% 9.66/7.23 (v178(constB34) <=> (v181(constB34) | v185(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35030, 84])).
% 9.66/7.23 tff(35032,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB34) <=> (~((~v186(constB34)) | (~v187(constB34)))))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35033,plain,
% 9.66/7.23 (v185(constB34) <=> (~((~v186(constB34)) | (~v187(constB34))))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35032, 96])).
% 9.66/7.23 tff(35034,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB34) <=> (~((~v184(constB34)) | (~v159(constB34)))))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35035,plain,
% 9.66/7.23 (v187(constB34) <=> (~((~v184(constB34)) | (~v159(constB34))))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35034, 108])).
% 9.66/7.23 tff(35036,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35037,plain,
% 9.66/7.23 (v184(constB34) <=> (~((~v39(constB34)) | (~v9(constB34))))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35036, 120])).
% 9.66/7.23 tff(35038,plain,
% 9.66/7.23 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB34)) <=> v1(constB34))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35039,plain,
% 9.66/7.23 ((~v39(constB34)) <=> v1(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35038, 129])).
% 9.66/7.23 tff(35040,plain,
% 9.66/7.23 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34)) | (~v1(constB34))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35041,plain,
% 9.66/7.23 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35040, 8102])).
% 9.66/7.23 tff(35042,plain,
% 9.66/7.23 (~v39(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35041, 35039])).
% 9.66/7.23 tff(35043,plain,
% 9.66/7.23 (((~v39(constB34)) | (~v9(constB34))) | v39(constB34)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35044,plain,
% 9.66/7.23 ((~v39(constB34)) | (~v9(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35043, 35042])).
% 9.66/7.23 tff(35045,plain,
% 9.66/7.23 ((~(v184(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v184(constB34)) | (~((~v39(constB34)) | (~v9(constB34))))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35046,plain,
% 9.66/7.23 ((~(v184(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v184(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35045, 35044])).
% 9.66/7.23 tff(35047,plain,
% 9.66/7.23 (~v184(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35046, 35037])).
% 9.66/7.23 tff(35048,plain,
% 9.66/7.23 (((~v184(constB34)) | (~v159(constB34))) | v184(constB34)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35049,plain,
% 9.66/7.23 ((~v184(constB34)) | (~v159(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35048, 35047])).
% 9.66/7.23 tff(35050,plain,
% 9.66/7.23 ((~(v187(constB34) <=> (~((~v184(constB34)) | (~v159(constB34)))))) | (~v187(constB34)) | (~((~v184(constB34)) | (~v159(constB34))))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35051,plain,
% 9.66/7.23 ((~(v187(constB34) <=> (~((~v184(constB34)) | (~v159(constB34)))))) | (~v187(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35050, 35049])).
% 9.66/7.23 tff(35052,plain,
% 9.66/7.23 (~v187(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35051, 35035])).
% 9.66/7.23 tff(35053,plain,
% 9.66/7.23 (((~v186(constB34)) | (~v187(constB34))) | v187(constB34)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35054,plain,
% 9.66/7.23 ((~v186(constB34)) | (~v187(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35053, 35052])).
% 9.66/7.23 tff(35055,plain,
% 9.66/7.23 ((~(v185(constB34) <=> (~((~v186(constB34)) | (~v187(constB34)))))) | (~v185(constB34)) | (~((~v186(constB34)) | (~v187(constB34))))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35056,plain,
% 9.66/7.23 (~v185(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35055, 35054, 35033])).
% 9.66/7.23 tff(35057,plain,
% 9.66/7.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34))))))),
% 9.66/7.23 inference(rewrite,[status(thm)],[])).
% 9.66/7.23 tff(35058,plain,
% 9.66/7.23 ((v181(constB34) <=> (~((~v182(constB34)) | (~v157(constB34))))) <=> (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34)))))),
% 9.66/7.23 inference(rewrite,[status(thm)],[])).
% 9.66/7.23 tff(35059,plain,
% 9.66/7.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v182(constB34)) | (~v157(constB34)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34))))))),
% 9.66/7.23 inference(monotonicity,[status(thm)],[35058])).
% 9.66/7.23 tff(35060,plain,
% 9.66/7.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v182(constB34)) | (~v157(constB34)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34))))))),
% 9.66/7.23 inference(transitivity,[status(thm)],[35059, 35057])).
% 9.66/7.23 tff(35061,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v182(constB34)) | (~v157(constB34)))))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35062,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34)))))),
% 9.66/7.23 inference(modus_ponens,[status(thm)],[35061, 35060])).
% 9.66/7.23 tff(35063,plain,
% 9.66/7.23 (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34))))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35062, 161])).
% 9.66/7.23 tff(35064,plain,
% 9.66/7.23 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB34) <=> v180(constB34))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35065,plain,
% 9.66/7.23 (v157(constB34) <=> v180(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35064, 13])).
% 9.66/7.23 tff(35066,plain,
% 9.66/7.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB33, constB34)) | (v180(constB34) <=> v178(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB33, constB34)) | (v180(constB34) <=> v178(constB33)))),
% 9.66/7.23 inference(rewrite,[status(thm)],[])).
% 9.66/7.23 tff(35067,plain,
% 9.66/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB33, constB34)) | (v180(constB34) <=> v178(constB33)))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35068,plain,
% 9.66/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB33, constB34)) | (v180(constB34) <=> v178(constB33))),
% 9.66/7.23 inference(modus_ponens,[status(thm)],[35067, 35066])).
% 9.66/7.23 tff(35069,plain,
% 9.66/7.23 (v180(constB34) <=> v178(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35068, 8072, 70])).
% 9.66/7.23 tff(35070,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB33) <=> (v181(constB33) | v185(constB33)))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35071,plain,
% 9.66/7.23 (v178(constB33) <=> (v181(constB33) | v185(constB33))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35070, 84])).
% 9.66/7.23 tff(35072,plain,
% 9.66/7.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33))))))),
% 9.66/7.23 inference(rewrite,[status(thm)],[])).
% 9.66/7.23 tff(35073,plain,
% 9.66/7.23 ((v181(constB33) <=> (~((~v182(constB33)) | (~v157(constB33))))) <=> (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33)))))),
% 9.66/7.23 inference(rewrite,[status(thm)],[])).
% 9.66/7.23 tff(35074,plain,
% 9.66/7.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v182(constB33)) | (~v157(constB33)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33))))))),
% 9.66/7.23 inference(monotonicity,[status(thm)],[35073])).
% 9.66/7.23 tff(35075,plain,
% 9.66/7.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v182(constB33)) | (~v157(constB33)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33))))))),
% 9.66/7.23 inference(transitivity,[status(thm)],[35074, 35072])).
% 9.66/7.23 tff(35076,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v182(constB33)) | (~v157(constB33)))))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35077,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33)))))),
% 9.66/7.23 inference(modus_ponens,[status(thm)],[35076, 35075])).
% 9.66/7.23 tff(35078,plain,
% 9.66/7.23 (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33))))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35077, 161])).
% 9.66/7.23 tff(35079,plain,
% 9.66/7.23 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB33)) <=> v183(constB33))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35080,plain,
% 9.66/7.23 ((~v182(constB33)) <=> v183(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35079, 193])).
% 9.66/7.23 tff(35081,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB33) <=> (v184(constB33) | v26(constB33)))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35082,plain,
% 9.66/7.23 (v183(constB33) <=> (v184(constB33) | v26(constB33))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35081, 202])).
% 9.66/7.23 tff(35083,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB33) <=> (~((~v39(constB33)) | (~v9(constB33)))))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35084,plain,
% 9.66/7.23 (v184(constB33) <=> (~((~v39(constB33)) | (~v9(constB33))))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35083, 120])).
% 9.66/7.23 tff(35085,plain,
% 9.66/7.23 (((~![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)))),
% 9.66/7.23 inference(rewrite,[status(thm)],[])).
% 9.66/7.23 tff(35086,plain,
% 9.66/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35087,plain,
% 9.66/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33))),
% 9.66/7.23 inference(modus_ponens,[status(thm)],[35086, 35085])).
% 9.66/7.23 tff(35088,plain,
% 9.66/7.23 (v13(constB34) <=> v9(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35087, 8072, 216])).
% 9.66/7.23 tff(35089,plain,
% 9.66/7.23 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB34) <=> v13(constB34))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35090,plain,
% 9.66/7.23 (v6(constB34) <=> v13(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35089, 230])).
% 9.66/7.23 tff(35091,plain,
% 9.66/7.23 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB34)) <=> v6(constB34))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35092,plain,
% 9.66/7.23 ((~v21(constB34)) <=> v6(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35091, 239])).
% 9.66/7.23 tff(35093,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB34) <=> (v20(constB34) | v21(constB34)))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35094,plain,
% 9.66/7.23 (v19(constB34) <=> (v20(constB34) | v21(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35093, 248])).
% 9.66/7.23 tff(35095,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34)))))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35096,plain,
% 9.66/7.23 (v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34))))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35095, 260])).
% 9.66/7.23 tff(35097,plain,
% 9.66/7.23 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB34)) <=> v18(constB34))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35098,plain,
% 9.66/7.23 ((~v4(constB34)) <=> v18(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35097, 269])).
% 9.66/7.23 tff(35099,plain,
% 9.66/7.23 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB34)),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35100,plain,
% 9.66/7.23 (v4(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35099, 278])).
% 9.66/7.23 tff(35101,plain,
% 9.66/7.23 ((~((~v4(constB34)) <=> v18(constB34))) | (~v4(constB34)) | (~v18(constB34))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35102,plain,
% 9.66/7.23 (~v18(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35101, 35100, 35098])).
% 9.66/7.23 tff(35103,plain,
% 9.66/7.23 ((~(v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34)))))) | v18(constB34) | ((~v19(constB34)) | (~v22(constB34)))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35104,plain,
% 9.66/7.23 ((~v19(constB34)) | (~v22(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35103, 35102, 35096])).
% 9.66/7.23 tff(35105,plain,
% 9.66/7.23 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB34) <=> (v1(constB34) | v6(constB34)))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35106,plain,
% 9.66/7.23 (v22(constB34) <=> (v1(constB34) | v6(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35105, 291])).
% 9.66/7.23 tff(35107,plain,
% 9.66/7.23 ((v1(constB34) | v6(constB34)) | (~v1(constB34))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35108,plain,
% 9.66/7.23 (v1(constB34) | v6(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35107, 8102])).
% 9.66/7.23 tff(35109,plain,
% 9.66/7.23 ((~(v22(constB34) <=> (v1(constB34) | v6(constB34)))) | v22(constB34) | (~(v1(constB34) | v6(constB34)))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35110,plain,
% 9.66/7.23 ((~(v22(constB34) <=> (v1(constB34) | v6(constB34)))) | v22(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35109, 35108])).
% 9.66/7.23 tff(35111,plain,
% 9.66/7.23 (v22(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35110, 35106])).
% 9.66/7.23 tff(35112,plain,
% 9.66/7.23 ((~((~v19(constB34)) | (~v22(constB34)))) | (~v19(constB34)) | (~v22(constB34))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35113,plain,
% 9.66/7.23 ((~((~v19(constB34)) | (~v22(constB34)))) | (~v19(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35112, 35111])).
% 9.66/7.23 tff(35114,plain,
% 9.66/7.23 (~v19(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35113, 35104])).
% 9.66/7.23 tff(35115,plain,
% 9.66/7.23 ((~(v19(constB34) <=> (v20(constB34) | v21(constB34)))) | v19(constB34) | (~(v20(constB34) | v21(constB34)))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35116,plain,
% 9.66/7.23 (~(v20(constB34) | v21(constB34))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35115, 35114, 35094])).
% 9.66/7.23 tff(35117,plain,
% 9.66/7.23 ((v20(constB34) | v21(constB34)) | (~v21(constB34))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35118,plain,
% 9.66/7.23 (~v21(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35117, 35116])).
% 9.66/7.23 tff(35119,plain,
% 9.66/7.23 ((~((~v21(constB34)) <=> v6(constB34))) | v21(constB34) | v6(constB34)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35120,plain,
% 9.66/7.23 (v6(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35119, 35118, 35092])).
% 9.66/7.23 tff(35121,plain,
% 9.66/7.23 ((~(v6(constB34) <=> v13(constB34))) | (~v6(constB34)) | v13(constB34)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35122,plain,
% 9.66/7.23 (v13(constB34)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35121, 35120, 35090])).
% 9.66/7.23 tff(35123,plain,
% 9.66/7.23 ((~(v13(constB34) <=> v9(constB33))) | (~v13(constB34)) | v9(constB33)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35124,plain,
% 9.66/7.23 (v9(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35123, 35122, 35088])).
% 9.66/7.23 tff(35125,plain,
% 9.66/7.23 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB33)) <=> v1(constB33))),
% 9.66/7.23 inference(quant_inst,[status(thm)],[])).
% 9.66/7.23 tff(35126,plain,
% 9.66/7.23 ((~v39(constB33)) <=> v1(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35125, 129])).
% 9.66/7.23 tff(35127,plain,
% 9.66/7.23 ((~((~v39(constB33)) <=> v1(constB33))) | v39(constB33) | v1(constB33)),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35128,plain,
% 9.66/7.23 ((~((~v39(constB33)) <=> v1(constB33))) | v39(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35127, 8094])).
% 9.66/7.23 tff(35129,plain,
% 9.66/7.23 (v39(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35128, 35126])).
% 9.66/7.23 tff(35130,plain,
% 9.66/7.23 ((~((~v39(constB33)) | (~v9(constB33)))) | (~v39(constB33)) | (~v9(constB33))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35131,plain,
% 9.66/7.23 ((~((~v39(constB33)) | (~v9(constB33)))) | (~v9(constB33))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35130, 35129])).
% 9.66/7.23 tff(35132,plain,
% 9.66/7.23 (~((~v39(constB33)) | (~v9(constB33)))),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35131, 35124])).
% 9.66/7.23 tff(35133,plain,
% 9.66/7.23 ((~(v184(constB33) <=> (~((~v39(constB33)) | (~v9(constB33)))))) | v184(constB33) | ((~v39(constB33)) | (~v9(constB33)))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35134,plain,
% 9.66/7.23 (v184(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35133, 35132, 35084])).
% 9.66/7.23 tff(35135,plain,
% 9.66/7.23 ((v184(constB33) | v26(constB33)) | (~v184(constB33))),
% 9.66/7.23 inference(tautology,[status(thm)],[])).
% 9.66/7.23 tff(35136,plain,
% 9.66/7.23 (v184(constB33) | v26(constB33)),
% 9.66/7.23 inference(unit_resolution,[status(thm)],[35135, 35134])).
% 9.66/7.24 tff(35137,plain,
% 9.66/7.24 ((~(v183(constB33) <=> (v184(constB33) | v26(constB33)))) | v183(constB33) | (~(v184(constB33) | v26(constB33)))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35138,plain,
% 9.66/7.24 (v183(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35137, 35136, 35082])).
% 9.66/7.24 tff(35139,plain,
% 9.66/7.24 ((~((~v182(constB33)) <=> v183(constB33))) | (~v182(constB33)) | (~v183(constB33))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35140,plain,
% 9.66/7.24 (~v182(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35139, 35138, 35080])).
% 9.66/7.24 tff(35141,plain,
% 9.66/7.24 (((~v157(constB33)) | (~v182(constB33))) | v182(constB33)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35142,plain,
% 9.66/7.24 ((~v157(constB33)) | (~v182(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35141, 35140])).
% 9.66/7.24 tff(35143,plain,
% 9.66/7.24 ((~(v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33)))))) | (~v181(constB33)) | (~((~v157(constB33)) | (~v182(constB33))))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35144,plain,
% 9.66/7.24 (~v181(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35143, 35142, 35078])).
% 9.66/7.24 tff(35145,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB33) <=> (~((~v186(constB33)) | (~v187(constB33)))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35146,plain,
% 9.66/7.24 (v185(constB33) <=> (~((~v186(constB33)) | (~v187(constB33))))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35145, 96])).
% 9.66/7.24 tff(35147,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB33) <=> (~((~v184(constB33)) | (~v159(constB33)))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35148,plain,
% 9.66/7.24 (v187(constB33) <=> (~((~v184(constB33)) | (~v159(constB33))))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35147, 108])).
% 9.66/7.24 tff(35149,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB33) <=> v161(constB33))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35150,plain,
% 9.66/7.24 (v159(constB33) <=> v161(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35149, 345])).
% 9.66/7.24 tff(35151,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35152,plain,
% 9.66/7.24 (v139(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2)))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35151, 360])).
% 9.66/7.24 tff(35153,plain,
% 9.66/7.24 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB33, bitIndex2) <=> v90(constB33, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB33, bitIndex2) <=> v90(constB33, bitIndex2)))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35154,plain,
% 9.66/7.24 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB33, bitIndex2) <=> v90(constB33, bitIndex2)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35155,plain,
% 9.66/7.24 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB33, bitIndex2) <=> v90(constB33, bitIndex2))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35154, 35153])).
% 9.66/7.24 tff(35156,plain,
% 9.66/7.24 (v88(constB33, bitIndex2) <=> v90(constB33, bitIndex2)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35155, 648, 372])).
% 9.66/7.24 tff(35157,plain,
% 9.66/7.24 ((~(v88(constB33, bitIndex2) <=> v90(constB33, bitIndex2))) | v88(constB33, bitIndex2) | (~v90(constB33, bitIndex2))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35158,plain,
% 9.66/7.24 (v88(constB33, bitIndex2)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35157, 12424, 35156])).
% 9.66/7.24 tff(35159,plain,
% 9.66/7.24 ((v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2)) | (~v88(constB33, bitIndex2))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35160,plain,
% 9.66/7.24 (v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35159, 35158])).
% 9.66/7.24 tff(35161,plain,
% 9.66/7.24 ((~(v139(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2))))) | (~v139(constB33)) | (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2)))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35162,plain,
% 9.66/7.24 (~v139(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35161, 35160, 35152])).
% 9.66/7.24 tff(35163,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0))))))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35164,plain,
% 9.66/7.24 ((v140(constB33) <=> (~(v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0))))) <=> (v140(constB33) <=> (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0)))))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35165,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0))))))),
% 9.66/7.24 inference(monotonicity,[status(thm)],[35164])).
% 9.66/7.24 tff(35166,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0))))))),
% 9.66/7.24 inference(transitivity,[status(thm)],[35165, 35163])).
% 9.66/7.24 tff(35167,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0)))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35168,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0)))))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35167, 35166])).
% 9.66/7.24 tff(35169,plain,
% 9.66/7.24 (v140(constB33) <=> (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0))))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35168, 25795])).
% 9.66/7.24 tff(35170,plain,
% 9.66/7.24 ((v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0))) | (~v88(constB33, bitIndex2))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35171,plain,
% 9.66/7.24 (v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35170, 35158])).
% 9.66/7.24 tff(35172,plain,
% 9.66/7.24 ((~(v140(constB33) <=> (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0)))))) | (~v140(constB33)) | (~(v88(constB33, bitIndex2) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex0))))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35173,plain,
% 9.66/7.24 (~v140(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35172, 35171, 35169])).
% 9.66/7.24 tff(35174,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB33) | v140(constB33) | (~v168(constB33)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB33) | v140(constB33) | (~v168(constB33)))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35175,plain,
% 9.66/7.24 ((v140(constB33) | v139(constB33) | (~v168(constB33))) <=> (v139(constB33) | v140(constB33) | (~v168(constB33)))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35176,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB33) | v139(constB33) | (~v168(constB33)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB33) | v140(constB33) | (~v168(constB33))))),
% 9.66/7.24 inference(monotonicity,[status(thm)],[35175])).
% 9.66/7.24 tff(35177,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB33) | v139(constB33) | (~v168(constB33)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB33) | v140(constB33) | (~v168(constB33)))),
% 9.66/7.24 inference(transitivity,[status(thm)],[35176, 35174])).
% 9.66/7.24 tff(35178,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB33) | v139(constB33) | (~v168(constB33)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35179,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB33) | v140(constB33) | (~v168(constB33))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35178, 35177])).
% 9.66/7.24 tff(35180,plain,
% 9.66/7.24 (v139(constB33) | v140(constB33) | (~v168(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35179, 25819])).
% 9.66/7.24 tff(35181,plain,
% 9.66/7.24 (~v168(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35180, 35173, 35162])).
% 9.66/7.24 tff(35182,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB33) <=> (v145(constB33) | v165(constB33)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35183,plain,
% 9.66/7.24 (v164(constB33) <=> (v145(constB33) | v165(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35182, 25834])).
% 9.66/7.24 tff(35184,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB33) <=> (v146(constB33) | v147(constB33)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35185,plain,
% 9.66/7.24 (v145(constB33) <=> (v146(constB33) | v147(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35184, 27691])).
% 9.66/7.24 tff(35186,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0)))))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35187,plain,
% 9.66/7.24 ((v146(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2))))) <=> (v146(constB33) <=> (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0))))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35188,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0)))))),
% 9.66/7.24 inference(monotonicity,[status(thm)],[35187])).
% 9.66/7.24 tff(35189,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0)))))),
% 9.66/7.24 inference(transitivity,[status(thm)],[35188, 35186])).
% 9.66/7.24 tff(35190,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35191,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0))))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35190, 35189])).
% 9.66/7.24 tff(35192,plain,
% 9.66/7.24 (v146(constB33) <=> (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0)))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35191, 27706])).
% 9.66/7.24 tff(35193,plain,
% 9.66/7.24 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB33, bitIndex0) <=> v90(constB33, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB33, bitIndex0) <=> v90(constB33, bitIndex0)))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35194,plain,
% 9.66/7.24 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB33, bitIndex0) <=> v90(constB33, bitIndex0)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35195,plain,
% 9.66/7.24 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB33, bitIndex0) <=> v90(constB33, bitIndex0))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35194, 35193])).
% 9.66/7.24 tff(35196,plain,
% 9.66/7.24 (v88(constB33, bitIndex0) <=> v90(constB33, bitIndex0)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35195, 9653, 372])).
% 9.66/7.24 tff(35197,plain,
% 9.66/7.24 ((~(v88(constB33, bitIndex0) <=> v90(constB33, bitIndex0))) | (~v88(constB33, bitIndex0)) | v90(constB33, bitIndex0)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35198,plain,
% 9.66/7.24 (~v88(constB33, bitIndex0)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35197, 12455, 35196])).
% 9.66/7.24 tff(35199,plain,
% 9.66/7.24 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB33, bitIndex1) <=> v90(constB33, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB33, bitIndex1) <=> v90(constB33, bitIndex1)))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35200,plain,
% 9.66/7.24 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB33, bitIndex1) <=> v90(constB33, bitIndex1)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35201,plain,
% 9.66/7.24 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB33, bitIndex1) <=> v90(constB33, bitIndex1))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35200, 35199])).
% 9.66/7.24 tff(35202,plain,
% 9.66/7.24 (v88(constB33, bitIndex1) <=> v90(constB33, bitIndex1)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35201, 375, 372])).
% 9.66/7.24 tff(35203,plain,
% 9.66/7.24 ((~(v88(constB33, bitIndex1) <=> v90(constB33, bitIndex1))) | (~v88(constB33, bitIndex1)) | v90(constB33, bitIndex1)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35204,plain,
% 9.66/7.24 (~v88(constB33, bitIndex1)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35203, 12486, 35202])).
% 9.66/7.24 tff(35205,plain,
% 9.66/7.24 ((~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0))) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35206,plain,
% 9.66/7.24 (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35205, 35204, 35198, 35158])).
% 9.66/7.24 tff(35207,plain,
% 9.66/7.24 ((~(v146(constB33) <=> (~((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0))))) | v146(constB33) | ((~v88(constB33, bitIndex2)) | v88(constB33, bitIndex1) | v88(constB33, bitIndex0))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35208,plain,
% 9.66/7.24 (v146(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35207, 35206, 35192])).
% 9.66/7.24 tff(35209,plain,
% 9.66/7.24 ((v146(constB33) | v147(constB33)) | (~v146(constB33))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35210,plain,
% 9.66/7.24 (v146(constB33) | v147(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35209, 35208])).
% 9.66/7.24 tff(35211,plain,
% 9.66/7.24 ((~(v145(constB33) <=> (v146(constB33) | v147(constB33)))) | v145(constB33) | (~(v146(constB33) | v147(constB33)))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35212,plain,
% 9.66/7.24 (v145(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35211, 35210, 35185])).
% 9.66/7.24 tff(35213,plain,
% 9.66/7.24 ((v145(constB33) | v165(constB33)) | (~v145(constB33))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35214,plain,
% 9.66/7.24 (v145(constB33) | v165(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35213, 35212])).
% 9.66/7.24 tff(35215,plain,
% 9.66/7.24 ((~(v164(constB33) <=> (v145(constB33) | v165(constB33)))) | v164(constB33) | (~(v145(constB33) | v165(constB33)))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35216,plain,
% 9.66/7.24 (v164(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35215, 35214, 35183])).
% 9.66/7.24 tff(35217,plain,
% 9.66/7.24 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB33)) | (v161(constB33) <=> v168(constB33)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB33)) | (v161(constB33) <=> v168(constB33)))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35218,plain,
% 9.66/7.24 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB33)) | (v161(constB33) <=> v168(constB33)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35219,plain,
% 9.66/7.24 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB33)) | (v161(constB33) <=> v168(constB33))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35218, 35217])).
% 9.66/7.24 tff(35220,plain,
% 9.66/7.24 ((~v164(constB33)) | (v161(constB33) <=> v168(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35219, 25977])).
% 9.66/7.24 tff(35221,plain,
% 9.66/7.24 (v161(constB33) <=> v168(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35220, 35216])).
% 9.66/7.24 tff(35222,plain,
% 9.66/7.24 ((~(v161(constB33) <=> v168(constB33))) | (~v161(constB33)) | v168(constB33)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35223,plain,
% 9.66/7.24 (~v161(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35222, 35221, 35181])).
% 9.66/7.24 tff(35224,plain,
% 9.66/7.24 ((~(v159(constB33) <=> v161(constB33))) | (~v159(constB33)) | v161(constB33)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35225,plain,
% 9.66/7.24 ((~(v159(constB33) <=> v161(constB33))) | (~v159(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35224, 35223])).
% 9.66/7.24 tff(35226,plain,
% 9.66/7.24 (~v159(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35225, 35150])).
% 9.66/7.24 tff(35227,plain,
% 9.66/7.24 (((~v184(constB33)) | (~v159(constB33))) | v159(constB33)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35228,plain,
% 9.66/7.24 ((~v184(constB33)) | (~v159(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35227, 35226])).
% 9.66/7.24 tff(35229,plain,
% 9.66/7.24 ((~(v187(constB33) <=> (~((~v184(constB33)) | (~v159(constB33)))))) | (~v187(constB33)) | (~((~v184(constB33)) | (~v159(constB33))))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35230,plain,
% 9.66/7.24 (~v187(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35229, 35228, 35148])).
% 9.66/7.24 tff(35231,plain,
% 9.66/7.24 (((~v186(constB33)) | (~v187(constB33))) | v187(constB33)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35232,plain,
% 9.66/7.24 ((~v186(constB33)) | (~v187(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35231, 35230])).
% 9.66/7.24 tff(35233,plain,
% 9.66/7.24 ((~(v185(constB33) <=> (~((~v186(constB33)) | (~v187(constB33)))))) | (~v185(constB33)) | (~((~v186(constB33)) | (~v187(constB33))))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35234,plain,
% 9.66/7.24 (~v185(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35233, 35232, 35146])).
% 9.66/7.24 tff(35235,plain,
% 9.66/7.24 ((~(v181(constB33) | v185(constB33))) | v181(constB33) | v185(constB33)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35236,plain,
% 9.66/7.24 (~(v181(constB33) | v185(constB33))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35235, 35234, 35144])).
% 9.66/7.24 tff(35237,plain,
% 9.66/7.24 ((~(v178(constB33) <=> (v181(constB33) | v185(constB33)))) | (~v178(constB33)) | (v181(constB33) | v185(constB33))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35238,plain,
% 9.66/7.24 (~v178(constB33)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35237, 35236, 35071])).
% 9.66/7.24 tff(35239,plain,
% 9.66/7.24 ((~(v180(constB34) <=> v178(constB33))) | (~v180(constB34)) | v178(constB33)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35240,plain,
% 9.66/7.24 (~v180(constB34)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35239, 35238, 35069])).
% 9.66/7.24 tff(35241,plain,
% 9.66/7.24 ((~(v157(constB34) <=> v180(constB34))) | (~v157(constB34)) | v180(constB34)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35242,plain,
% 9.66/7.24 (~v157(constB34)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35241, 35240, 35065])).
% 9.66/7.24 tff(35243,plain,
% 9.66/7.24 (((~v157(constB34)) | (~v182(constB34))) | v157(constB34)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35244,plain,
% 9.66/7.24 ((~v157(constB34)) | (~v182(constB34))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35243, 35242])).
% 9.66/7.24 tff(35245,plain,
% 9.66/7.24 ((~(v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34)))))) | (~v181(constB34)) | (~((~v157(constB34)) | (~v182(constB34))))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35246,plain,
% 9.66/7.24 (~v181(constB34)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35245, 35244, 35063])).
% 9.66/7.24 tff(35247,plain,
% 9.66/7.24 ((~(v181(constB34) | v185(constB34))) | v181(constB34) | v185(constB34)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35248,plain,
% 9.66/7.24 (~(v181(constB34) | v185(constB34))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35247, 35246, 35056])).
% 9.66/7.24 tff(35249,plain,
% 9.66/7.24 ((~(v178(constB34) <=> (v181(constB34) | v185(constB34)))) | (~v178(constB34)) | (v181(constB34) | v185(constB34))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35250,plain,
% 9.66/7.24 (~v178(constB34)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35249, 35248, 35031])).
% 9.66/7.24 tff(35251,plain,
% 9.66/7.24 ((~(v180(constB35) <=> v178(constB34))) | (~v180(constB35)) | v178(constB34)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35252,plain,
% 9.66/7.24 (~v180(constB35)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35251, 35250, 35029])).
% 9.66/7.24 tff(35253,plain,
% 9.66/7.24 ($false),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35252, 35025])).
% 9.66/7.24 tff(35254,plain,(~(constB35 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.66/7.24 tff(35255,assumption,(constB183 = VarCurr!0), introduced(assumption)).
% 9.66/7.24 tff(35256,plain,
% 9.66/7.24 (v180(constB183) <=> v180(VarCurr!0)),
% 9.66/7.24 inference(monotonicity,[status(thm)],[35255])).
% 9.66/7.24 tff(35257,plain,
% 9.66/7.24 (v180(VarCurr!0) <=> v180(constB183)),
% 9.66/7.24 inference(symmetry,[status(thm)],[35256])).
% 9.66/7.24 tff(35258,plain,
% 9.66/7.24 (v180(constB183)),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[59, 35257])).
% 9.66/7.24 tff(35259,plain,
% 9.66/7.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB182, constB183)) | (v180(constB183) <=> v178(constB182)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB182, constB183)) | (v180(constB183) <=> v178(constB182)))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35260,plain,
% 9.66/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB182, constB183)) | (v180(constB183) <=> v178(constB182)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35261,plain,
% 9.66/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB182, constB183)) | (v180(constB183) <=> v178(constB182))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35260, 35259])).
% 9.66/7.24 tff(35262,plain,
% 9.66/7.24 (v180(constB183) <=> v178(constB182)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35261, 1240, 70])).
% 9.66/7.24 tff(35263,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB182) <=> (v181(constB182) | v185(constB182)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35264,plain,
% 9.66/7.24 (v178(constB182) <=> (v181(constB182) | v185(constB182))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35263, 84])).
% 9.66/7.24 tff(35265,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB182) <=> (~((~v186(constB182)) | (~v187(constB182)))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35266,plain,
% 9.66/7.24 (v185(constB182) <=> (~((~v186(constB182)) | (~v187(constB182))))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35265, 96])).
% 9.66/7.24 tff(35267,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB182) <=> (~((~v184(constB182)) | (~v159(constB182)))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35268,plain,
% 9.66/7.24 (v187(constB182) <=> (~((~v184(constB182)) | (~v159(constB182))))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35267, 108])).
% 9.66/7.24 tff(35269,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35270,plain,
% 9.66/7.24 (v184(constB182) <=> (~((~v39(constB182)) | (~v9(constB182))))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35269, 120])).
% 9.66/7.24 tff(35271,plain,
% 9.66/7.24 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB182)) <=> v1(constB182))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35272,plain,
% 9.66/7.24 ((~v39(constB182)) <=> v1(constB182)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35271, 129])).
% 9.66/7.24 tff(35273,plain,
% 9.66/7.24 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182)) | (~v1(constB182))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35274,plain,
% 9.66/7.24 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35273, 1302])).
% 9.66/7.24 tff(35275,plain,
% 9.66/7.24 (~v39(constB182)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35274, 35272])).
% 9.66/7.24 tff(35276,plain,
% 9.66/7.24 (((~v39(constB182)) | (~v9(constB182))) | v39(constB182)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35277,plain,
% 9.66/7.24 ((~v39(constB182)) | (~v9(constB182))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35276, 35275])).
% 9.66/7.24 tff(35278,plain,
% 9.66/7.24 ((~(v184(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v184(constB182)) | (~((~v39(constB182)) | (~v9(constB182))))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35279,plain,
% 9.66/7.24 ((~(v184(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v184(constB182))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35278, 35277])).
% 9.66/7.24 tff(35280,plain,
% 9.66/7.24 (~v184(constB182)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35279, 35270])).
% 9.66/7.24 tff(35281,plain,
% 9.66/7.24 (((~v184(constB182)) | (~v159(constB182))) | v184(constB182)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35282,plain,
% 9.66/7.24 ((~v184(constB182)) | (~v159(constB182))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35281, 35280])).
% 9.66/7.24 tff(35283,plain,
% 9.66/7.24 ((~(v187(constB182) <=> (~((~v184(constB182)) | (~v159(constB182)))))) | (~v187(constB182)) | (~((~v184(constB182)) | (~v159(constB182))))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35284,plain,
% 9.66/7.24 ((~(v187(constB182) <=> (~((~v184(constB182)) | (~v159(constB182)))))) | (~v187(constB182))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35283, 35282])).
% 9.66/7.24 tff(35285,plain,
% 9.66/7.24 (~v187(constB182)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35284, 35268])).
% 9.66/7.24 tff(35286,plain,
% 9.66/7.24 (((~v186(constB182)) | (~v187(constB182))) | v187(constB182)),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35287,plain,
% 9.66/7.24 ((~v186(constB182)) | (~v187(constB182))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35286, 35285])).
% 9.66/7.24 tff(35288,plain,
% 9.66/7.24 ((~(v185(constB182) <=> (~((~v186(constB182)) | (~v187(constB182)))))) | (~v185(constB182)) | (~((~v186(constB182)) | (~v187(constB182))))),
% 9.66/7.24 inference(tautology,[status(thm)],[])).
% 9.66/7.24 tff(35289,plain,
% 9.66/7.24 (~v185(constB182)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35288, 35287, 35266])).
% 9.66/7.24 tff(35290,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182))))))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35291,plain,
% 9.66/7.24 ((v181(constB182) <=> (~((~v182(constB182)) | (~v157(constB182))))) <=> (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182)))))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35292,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v182(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182))))))),
% 9.66/7.24 inference(monotonicity,[status(thm)],[35291])).
% 9.66/7.24 tff(35293,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v182(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182))))))),
% 9.66/7.24 inference(transitivity,[status(thm)],[35292, 35290])).
% 9.66/7.24 tff(35294,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v182(constB182)) | (~v157(constB182)))))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35295,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182)))))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35294, 35293])).
% 9.66/7.24 tff(35296,plain,
% 9.66/7.24 (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182))))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35295, 161])).
% 9.66/7.24 tff(35297,plain,
% 9.66/7.24 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB182) <=> v180(constB182))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35298,plain,
% 9.66/7.24 (v157(constB182) <=> v180(constB182)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35297, 13])).
% 9.66/7.24 tff(35299,plain,
% 9.66/7.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB181, constB182)) | (v180(constB182) <=> v178(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB181, constB182)) | (v180(constB182) <=> v178(constB181)))),
% 9.66/7.24 inference(rewrite,[status(thm)],[])).
% 9.66/7.24 tff(35300,plain,
% 9.66/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB181, constB182)) | (v180(constB182) <=> v178(constB181)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35301,plain,
% 9.66/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB181, constB182)) | (v180(constB182) <=> v178(constB181))),
% 9.66/7.24 inference(modus_ponens,[status(thm)],[35300, 35299])).
% 9.66/7.24 tff(35302,plain,
% 9.66/7.24 (v180(constB182) <=> v178(constB181)),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35301, 1272, 70])).
% 9.66/7.24 tff(35303,plain,
% 9.66/7.24 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB181) <=> (v181(constB181) | v185(constB181)))),
% 9.66/7.24 inference(quant_inst,[status(thm)],[])).
% 9.66/7.24 tff(35304,plain,
% 9.66/7.24 (v178(constB181) <=> (v181(constB181) | v185(constB181))),
% 9.66/7.24 inference(unit_resolution,[status(thm)],[35303, 84])).
% 9.66/7.24 tff(35305,plain,
% 9.66/7.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181))))))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35306,plain,
% 9.66/7.25 ((v181(constB181) <=> (~((~v182(constB181)) | (~v157(constB181))))) <=> (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181)))))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35307,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v182(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181))))))),
% 9.66/7.25 inference(monotonicity,[status(thm)],[35306])).
% 9.66/7.25 tff(35308,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v182(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181))))))),
% 9.66/7.25 inference(transitivity,[status(thm)],[35307, 35305])).
% 9.66/7.25 tff(35309,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v182(constB181)) | (~v157(constB181)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35310,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181)))))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35309, 35308])).
% 9.66/7.25 tff(35311,plain,
% 9.66/7.25 (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35310, 161])).
% 9.66/7.25 tff(35312,plain,
% 9.66/7.25 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB181)) <=> v183(constB181))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35313,plain,
% 9.66/7.25 ((~v182(constB181)) <=> v183(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35312, 193])).
% 9.66/7.25 tff(35314,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB181) <=> (v184(constB181) | v26(constB181)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35315,plain,
% 9.66/7.25 (v183(constB181) <=> (v184(constB181) | v26(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35314, 202])).
% 9.66/7.25 tff(35316,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35317,plain,
% 9.66/7.25 (v184(constB181) <=> (~((~v39(constB181)) | (~v9(constB181))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35316, 120])).
% 9.66/7.25 tff(35318,plain,
% 9.66/7.25 (((~![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)))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35319,plain,
% 9.66/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35320,plain,
% 9.66/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35319, 35318])).
% 9.66/7.25 tff(35321,plain,
% 9.66/7.25 (v13(constB182) <=> v9(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35320, 1272, 216])).
% 9.66/7.25 tff(35322,plain,
% 9.66/7.25 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB182) <=> v13(constB182))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35323,plain,
% 9.66/7.25 (v6(constB182) <=> v13(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35322, 230])).
% 9.66/7.25 tff(35324,plain,
% 9.66/7.25 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB182)) <=> v6(constB182))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35325,plain,
% 9.66/7.25 ((~v21(constB182)) <=> v6(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35324, 239])).
% 9.66/7.25 tff(35326,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB182) <=> (v20(constB182) | v21(constB182)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35327,plain,
% 9.66/7.25 (v19(constB182) <=> (v20(constB182) | v21(constB182))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35326, 248])).
% 9.66/7.25 tff(35328,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35329,plain,
% 9.66/7.25 (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35328, 260])).
% 9.66/7.25 tff(35330,plain,
% 9.66/7.25 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB182)) <=> v18(constB182))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35331,plain,
% 9.66/7.25 ((~v4(constB182)) <=> v18(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35330, 269])).
% 9.66/7.25 tff(35332,plain,
% 9.66/7.25 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB182)),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35333,plain,
% 9.66/7.25 (v4(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35332, 278])).
% 9.66/7.25 tff(35334,plain,
% 9.66/7.25 ((~((~v4(constB182)) <=> v18(constB182))) | (~v4(constB182)) | (~v18(constB182))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35335,plain,
% 9.66/7.25 (~v18(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35334, 35333, 35331])).
% 9.66/7.25 tff(35336,plain,
% 9.66/7.25 ((~(v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))) | v18(constB182) | ((~v19(constB182)) | (~v22(constB182)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35337,plain,
% 9.66/7.25 ((~v19(constB182)) | (~v22(constB182))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35336, 35335, 35329])).
% 9.66/7.25 tff(35338,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB182) <=> (v1(constB182) | v6(constB182)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35339,plain,
% 9.66/7.25 (v22(constB182) <=> (v1(constB182) | v6(constB182))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35338, 291])).
% 9.66/7.25 tff(35340,plain,
% 9.66/7.25 ((v1(constB182) | v6(constB182)) | (~v1(constB182))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35341,plain,
% 9.66/7.25 (v1(constB182) | v6(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35340, 1302])).
% 9.66/7.25 tff(35342,plain,
% 9.66/7.25 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182) | (~(v1(constB182) | v6(constB182)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35343,plain,
% 9.66/7.25 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35342, 35341])).
% 9.66/7.25 tff(35344,plain,
% 9.66/7.25 (v22(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35343, 35339])).
% 9.66/7.25 tff(35345,plain,
% 9.66/7.25 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182)) | (~v22(constB182))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35346,plain,
% 9.66/7.25 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35345, 35344])).
% 9.66/7.25 tff(35347,plain,
% 9.66/7.25 (~v19(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35346, 35337])).
% 9.66/7.25 tff(35348,plain,
% 9.66/7.25 ((~(v19(constB182) <=> (v20(constB182) | v21(constB182)))) | v19(constB182) | (~(v20(constB182) | v21(constB182)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35349,plain,
% 9.66/7.25 (~(v20(constB182) | v21(constB182))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35348, 35347, 35327])).
% 9.66/7.25 tff(35350,plain,
% 9.66/7.25 ((v20(constB182) | v21(constB182)) | (~v21(constB182))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35351,plain,
% 9.66/7.25 (~v21(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35350, 35349])).
% 9.66/7.25 tff(35352,plain,
% 9.66/7.25 ((~((~v21(constB182)) <=> v6(constB182))) | v21(constB182) | v6(constB182)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35353,plain,
% 9.66/7.25 (v6(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35352, 35351, 35325])).
% 9.66/7.25 tff(35354,plain,
% 9.66/7.25 ((~(v6(constB182) <=> v13(constB182))) | (~v6(constB182)) | v13(constB182)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35355,plain,
% 9.66/7.25 (v13(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35354, 35353, 35323])).
% 9.66/7.25 tff(35356,plain,
% 9.66/7.25 ((~(v13(constB182) <=> v9(constB181))) | (~v13(constB182)) | v9(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35357,plain,
% 9.66/7.25 (v9(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35356, 35355, 35321])).
% 9.66/7.25 tff(35358,plain,
% 9.66/7.25 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB181)) <=> v1(constB181))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35359,plain,
% 9.66/7.25 ((~v39(constB181)) <=> v1(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35358, 129])).
% 9.66/7.25 tff(35360,plain,
% 9.66/7.25 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181) | v1(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35361,plain,
% 9.66/7.25 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35360, 1294])).
% 9.66/7.25 tff(35362,plain,
% 9.66/7.25 (v39(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35361, 35359])).
% 9.66/7.25 tff(35363,plain,
% 9.66/7.25 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v39(constB181)) | (~v9(constB181))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35364,plain,
% 9.66/7.25 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v9(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35363, 35362])).
% 9.66/7.25 tff(35365,plain,
% 9.66/7.25 (~((~v39(constB181)) | (~v9(constB181)))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35364, 35357])).
% 9.66/7.25 tff(35366,plain,
% 9.66/7.25 ((~(v184(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))) | v184(constB181) | ((~v39(constB181)) | (~v9(constB181)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35367,plain,
% 9.66/7.25 (v184(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35366, 35365, 35317])).
% 9.66/7.25 tff(35368,plain,
% 9.66/7.25 ((v184(constB181) | v26(constB181)) | (~v184(constB181))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35369,plain,
% 9.66/7.25 (v184(constB181) | v26(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35368, 35367])).
% 9.66/7.25 tff(35370,plain,
% 9.66/7.25 ((~(v183(constB181) <=> (v184(constB181) | v26(constB181)))) | v183(constB181) | (~(v184(constB181) | v26(constB181)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35371,plain,
% 9.66/7.25 (v183(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35370, 35369, 35315])).
% 9.66/7.25 tff(35372,plain,
% 9.66/7.25 ((~((~v182(constB181)) <=> v183(constB181))) | (~v182(constB181)) | (~v183(constB181))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35373,plain,
% 9.66/7.25 (~v182(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35372, 35371, 35313])).
% 9.66/7.25 tff(35374,plain,
% 9.66/7.25 (((~v157(constB181)) | (~v182(constB181))) | v182(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35375,plain,
% 9.66/7.25 ((~v157(constB181)) | (~v182(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35374, 35373])).
% 9.66/7.25 tff(35376,plain,
% 9.66/7.25 ((~(v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181)))))) | (~v181(constB181)) | (~((~v157(constB181)) | (~v182(constB181))))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35377,plain,
% 9.66/7.25 (~v181(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35376, 35375, 35311])).
% 9.66/7.25 tff(35378,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB181) <=> (~((~v186(constB181)) | (~v187(constB181)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35379,plain,
% 9.66/7.25 (v185(constB181) <=> (~((~v186(constB181)) | (~v187(constB181))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35378, 96])).
% 9.66/7.25 tff(35380,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB181) <=> (~((~v184(constB181)) | (~v159(constB181)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35381,plain,
% 9.66/7.25 (v187(constB181) <=> (~((~v184(constB181)) | (~v159(constB181))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35380, 108])).
% 9.66/7.25 tff(35382,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB181) <=> v161(constB181))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35383,plain,
% 9.66/7.25 (v159(constB181) <=> v161(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35382, 345])).
% 9.66/7.25 tff(35384,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB181) <=> (~(v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35385,plain,
% 9.66/7.25 (v139(constB181) <=> (~(v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2)))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35384, 360])).
% 9.66/7.25 tff(35386,plain,
% 9.66/7.25 ((v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex2))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35387,plain,
% 9.66/7.25 (v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35386, 34206])).
% 9.66/7.25 tff(35388,plain,
% 9.66/7.25 ((~(v139(constB181) <=> (~(v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2))))) | (~v139(constB181)) | (~(v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35389,plain,
% 9.66/7.25 (~v139(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35388, 35387, 35385])).
% 9.66/7.25 tff(35390,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0))))))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35391,plain,
% 9.66/7.25 ((v140(constB181) <=> (~(v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))))) <=> (v140(constB181) <=> (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0)))))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35392,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0))))))),
% 9.66/7.25 inference(monotonicity,[status(thm)],[35391])).
% 9.66/7.25 tff(35393,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0))))))),
% 9.66/7.25 inference(transitivity,[status(thm)],[35392, 35390])).
% 9.66/7.25 tff(35394,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35395,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0)))))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35394, 35393])).
% 9.66/7.25 tff(35396,plain,
% 9.66/7.25 (v140(constB181) <=> (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35395, 25795])).
% 9.66/7.25 tff(35397,plain,
% 9.66/7.25 ((v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0))) | (~v88(constB181, bitIndex2))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35398,plain,
% 9.66/7.25 (v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35397, 34206])).
% 9.66/7.25 tff(35399,plain,
% 9.66/7.25 ((~(v140(constB181) <=> (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0)))))) | (~v140(constB181)) | (~(v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | (~v88(constB181, bitIndex0))))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35400,plain,
% 9.66/7.25 (~v140(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35399, 35398, 35396])).
% 9.66/7.25 tff(35401,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB181) | v139(constB181) | (~v168(constB181)))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35402,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v168(constB181)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35403,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB181) | v139(constB181) | (~v168(constB181))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35402, 35401])).
% 9.66/7.25 tff(35404,plain,
% 9.66/7.25 (v140(constB181) | v139(constB181) | (~v168(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35403, 25819])).
% 9.66/7.25 tff(35405,plain,
% 9.66/7.25 (~v168(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35404, 35400, 35389])).
% 9.66/7.25 tff(35406,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB181) <=> (v145(constB181) | v165(constB181)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35407,plain,
% 9.66/7.25 (v164(constB181) <=> (v145(constB181) | v165(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35406, 25834])).
% 9.66/7.25 tff(35408,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB181) <=> (v142(constB181) | v166(constB181)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35409,plain,
% 9.66/7.25 (v165(constB181) <=> (v142(constB181) | v166(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35408, 25846])).
% 9.66/7.25 tff(35410,plain,
% 9.66/7.25 ((v142(constB181) | v166(constB181)) | (~v142(constB181))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35411,plain,
% 9.66/7.25 (v142(constB181) | v166(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35410, 34226])).
% 9.66/7.25 tff(35412,plain,
% 9.66/7.25 ((~(v165(constB181) <=> (v142(constB181) | v166(constB181)))) | v165(constB181) | (~(v142(constB181) | v166(constB181)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35413,plain,
% 9.66/7.25 (v165(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35412, 35411, 35409])).
% 9.66/7.25 tff(35414,plain,
% 9.66/7.25 ((v145(constB181) | v165(constB181)) | (~v165(constB181))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35415,plain,
% 9.66/7.25 (v145(constB181) | v165(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35414, 35413])).
% 9.66/7.25 tff(35416,plain,
% 9.66/7.25 ((~(v164(constB181) <=> (v145(constB181) | v165(constB181)))) | v164(constB181) | (~(v145(constB181) | v165(constB181)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35417,plain,
% 9.66/7.25 (v164(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35416, 35415, 35407])).
% 9.66/7.25 tff(35418,plain,
% 9.66/7.25 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB181)) | (v161(constB181) <=> v168(constB181)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB181)) | (v161(constB181) <=> v168(constB181)))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35419,plain,
% 9.66/7.25 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB181)) | (v161(constB181) <=> v168(constB181)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35420,plain,
% 9.66/7.25 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB181)) | (v161(constB181) <=> v168(constB181))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35419, 35418])).
% 9.66/7.25 tff(35421,plain,
% 9.66/7.25 ((~v164(constB181)) | (v161(constB181) <=> v168(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35420, 25977])).
% 9.66/7.25 tff(35422,plain,
% 9.66/7.25 (v161(constB181) <=> v168(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35421, 35417])).
% 9.66/7.25 tff(35423,plain,
% 9.66/7.25 ((~(v161(constB181) <=> v168(constB181))) | (~v161(constB181)) | v168(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35424,plain,
% 9.66/7.25 (~v161(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35423, 35422, 35405])).
% 9.66/7.25 tff(35425,plain,
% 9.66/7.25 ((~(v159(constB181) <=> v161(constB181))) | (~v159(constB181)) | v161(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35426,plain,
% 9.66/7.25 ((~(v159(constB181) <=> v161(constB181))) | (~v159(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35425, 35424])).
% 9.66/7.25 tff(35427,plain,
% 9.66/7.25 (~v159(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35426, 35383])).
% 9.66/7.25 tff(35428,plain,
% 9.66/7.25 (((~v184(constB181)) | (~v159(constB181))) | v159(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35429,plain,
% 9.66/7.25 ((~v184(constB181)) | (~v159(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35428, 35427])).
% 9.66/7.25 tff(35430,plain,
% 9.66/7.25 ((~(v187(constB181) <=> (~((~v184(constB181)) | (~v159(constB181)))))) | (~v187(constB181)) | (~((~v184(constB181)) | (~v159(constB181))))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35431,plain,
% 9.66/7.25 (~v187(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35430, 35429, 35381])).
% 9.66/7.25 tff(35432,plain,
% 9.66/7.25 (((~v186(constB181)) | (~v187(constB181))) | v187(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35433,plain,
% 9.66/7.25 ((~v186(constB181)) | (~v187(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35432, 35431])).
% 9.66/7.25 tff(35434,plain,
% 9.66/7.25 ((~(v185(constB181) <=> (~((~v186(constB181)) | (~v187(constB181)))))) | (~v185(constB181)) | (~((~v186(constB181)) | (~v187(constB181))))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35435,plain,
% 9.66/7.25 (~v185(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35434, 35433, 35379])).
% 9.66/7.25 tff(35436,plain,
% 9.66/7.25 ((~(v181(constB181) | v185(constB181))) | v181(constB181) | v185(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35437,plain,
% 9.66/7.25 (~(v181(constB181) | v185(constB181))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35436, 35435, 35377])).
% 9.66/7.25 tff(35438,plain,
% 9.66/7.25 ((~(v178(constB181) <=> (v181(constB181) | v185(constB181)))) | (~v178(constB181)) | (v181(constB181) | v185(constB181))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35439,plain,
% 9.66/7.25 (~v178(constB181)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35438, 35437, 35304])).
% 9.66/7.25 tff(35440,plain,
% 9.66/7.25 ((~(v180(constB182) <=> v178(constB181))) | (~v180(constB182)) | v178(constB181)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35441,plain,
% 9.66/7.25 (~v180(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35440, 35439, 35302])).
% 9.66/7.25 tff(35442,plain,
% 9.66/7.25 ((~(v157(constB182) <=> v180(constB182))) | (~v157(constB182)) | v180(constB182)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35443,plain,
% 9.66/7.25 (~v157(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35442, 35441, 35298])).
% 9.66/7.25 tff(35444,plain,
% 9.66/7.25 (((~v157(constB182)) | (~v182(constB182))) | v157(constB182)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35445,plain,
% 9.66/7.25 ((~v157(constB182)) | (~v182(constB182))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35444, 35443])).
% 9.66/7.25 tff(35446,plain,
% 9.66/7.25 ((~(v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182)))))) | (~v181(constB182)) | (~((~v157(constB182)) | (~v182(constB182))))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35447,plain,
% 9.66/7.25 (~v181(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35446, 35445, 35296])).
% 9.66/7.25 tff(35448,plain,
% 9.66/7.25 ((~(v181(constB182) | v185(constB182))) | v181(constB182) | v185(constB182)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35449,plain,
% 9.66/7.25 (~(v181(constB182) | v185(constB182))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35448, 35447, 35289])).
% 9.66/7.25 tff(35450,plain,
% 9.66/7.25 ((~(v178(constB182) <=> (v181(constB182) | v185(constB182)))) | (~v178(constB182)) | (v181(constB182) | v185(constB182))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35451,plain,
% 9.66/7.25 (~v178(constB182)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35450, 35449, 35264])).
% 9.66/7.25 tff(35452,plain,
% 9.66/7.25 ((~(v180(constB183) <=> v178(constB182))) | (~v180(constB183)) | v178(constB182)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35453,plain,
% 9.66/7.25 (~v180(constB183)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35452, 35451, 35262])).
% 9.66/7.25 tff(35454,plain,
% 9.66/7.25 ($false),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35453, 35258])).
% 9.66/7.25 tff(35455,plain,(~(constB183 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.66/7.25 tff(35456,assumption,(constB77 = VarCurr!0), introduced(assumption)).
% 9.66/7.25 tff(35457,plain,
% 9.66/7.25 (v86(constB77) <=> v86(VarCurr!0)),
% 9.66/7.25 inference(monotonicity,[status(thm)],[35456])).
% 9.66/7.25 tff(35458,plain,
% 9.66/7.25 (v86(VarCurr!0) <=> v86(constB77)),
% 9.66/7.25 inference(symmetry,[status(thm)],[35457])).
% 9.66/7.25 tff(35459,plain,
% 9.66/7.25 ((~v86(VarCurr!0)) <=> (~v86(constB77))),
% 9.66/7.25 inference(monotonicity,[status(thm)],[35458])).
% 9.66/7.25 tff(35460,plain,
% 9.66/7.25 (~v86(constB77)),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[26079, 35459])).
% 9.66/7.25 tff(35461,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB77) | (~v142(constB77)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB77) | (~v142(constB77)))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35462,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB77) | (~v142(constB77)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35463,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB77) | (~v142(constB77))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35462, 35461])).
% 9.66/7.25 tff(35464,plain,
% 9.66/7.25 (v148(constB77) | (~v142(constB77))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35463, 26138])).
% 9.66/7.25 tff(35465,plain,
% 9.66/7.25 (v148(constB77)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35464, 29961])).
% 9.66/7.25 tff(35466,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB77) <=> (v136(constB77) | v145(constB77)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35467,plain,
% 9.66/7.25 (v135(constB77) <=> (v136(constB77) | v145(constB77))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35466, 26150])).
% 9.66/7.25 tff(35468,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB77) <=> (v137(constB77) | v142(constB77)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35469,plain,
% 9.66/7.25 (v136(constB77) <=> (v137(constB77) | v142(constB77))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35468, 26159])).
% 9.66/7.25 tff(35470,plain,
% 9.66/7.25 ((v137(constB77) | v142(constB77)) | (~v142(constB77))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35471,plain,
% 9.66/7.25 (v137(constB77) | v142(constB77)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35470, 29961])).
% 9.66/7.25 tff(35472,plain,
% 9.66/7.25 ((~(v136(constB77) <=> (v137(constB77) | v142(constB77)))) | v136(constB77) | (~(v137(constB77) | v142(constB77)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35473,plain,
% 9.66/7.25 (v136(constB77)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35472, 35471, 35469])).
% 9.66/7.25 tff(35474,plain,
% 9.66/7.25 ((v136(constB77) | v145(constB77)) | (~v136(constB77))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35475,plain,
% 9.66/7.25 (v136(constB77) | v145(constB77)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35474, 35473])).
% 9.66/7.25 tff(35476,plain,
% 9.66/7.25 ((~(v135(constB77) <=> (v136(constB77) | v145(constB77)))) | v135(constB77) | (~(v136(constB77) | v145(constB77)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35477,plain,
% 9.66/7.25 (v135(constB77)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35476, 35475, 35467])).
% 9.66/7.25 tff(35478,plain,
% 9.66/7.25 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB77)) | (v86(constB77) <=> v148(constB77)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB77)) | (v86(constB77) <=> v148(constB77)))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35479,plain,
% 9.66/7.25 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB77)) | (v86(constB77) <=> v148(constB77)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35480,plain,
% 9.66/7.25 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB77)) | (v86(constB77) <=> v148(constB77))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35479, 35478])).
% 9.66/7.25 tff(35481,plain,
% 9.66/7.25 ((~v135(constB77)) | (v86(constB77) <=> v148(constB77))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35480, 26179])).
% 9.66/7.25 tff(35482,plain,
% 9.66/7.25 (v86(constB77) <=> v148(constB77)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35481, 35477])).
% 9.66/7.25 tff(35483,plain,
% 9.66/7.25 ((~(v86(constB77) <=> v148(constB77))) | v86(constB77) | (~v148(constB77))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35484,plain,
% 9.66/7.25 (v86(constB77)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35483, 35482, 35465])).
% 9.66/7.25 tff(35485,plain,
% 9.66/7.25 ($false),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35484, 35460])).
% 9.66/7.25 tff(35486,plain,(~(constB77 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.66/7.25 tff(35487,assumption,(constB89 = VarCurr!0), introduced(assumption)).
% 9.66/7.25 tff(35488,plain,
% 9.66/7.25 (v86(constB89) <=> v86(VarCurr!0)),
% 9.66/7.25 inference(monotonicity,[status(thm)],[35487])).
% 9.66/7.25 tff(35489,plain,
% 9.66/7.25 (v86(VarCurr!0) <=> v86(constB89)),
% 9.66/7.25 inference(symmetry,[status(thm)],[35488])).
% 9.66/7.25 tff(35490,plain,
% 9.66/7.25 ((~v86(VarCurr!0)) <=> (~v86(constB89))),
% 9.66/7.25 inference(monotonicity,[status(thm)],[35489])).
% 9.66/7.25 tff(35491,plain,
% 9.66/7.25 (~v86(constB89)),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[26079, 35490])).
% 9.66/7.25 tff(35492,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB89) | (~v142(constB89)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB89) | (~v142(constB89)))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35493,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB89) | (~v142(constB89)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35494,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB89) | (~v142(constB89))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35493, 35492])).
% 9.66/7.25 tff(35495,plain,
% 9.66/7.25 (v148(constB89) | (~v142(constB89))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35494, 26138])).
% 9.66/7.25 tff(35496,plain,
% 9.66/7.25 (v148(constB89)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35495, 27476])).
% 9.66/7.25 tff(35497,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB89) <=> (v136(constB89) | v145(constB89)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35498,plain,
% 9.66/7.25 (v135(constB89) <=> (v136(constB89) | v145(constB89))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35497, 26150])).
% 9.66/7.25 tff(35499,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB89) <=> (v137(constB89) | v142(constB89)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35500,plain,
% 9.66/7.25 (v136(constB89) <=> (v137(constB89) | v142(constB89))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35499, 26159])).
% 9.66/7.25 tff(35501,plain,
% 9.66/7.25 ((v137(constB89) | v142(constB89)) | (~v142(constB89))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35502,plain,
% 9.66/7.25 (v137(constB89) | v142(constB89)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35501, 27476])).
% 9.66/7.25 tff(35503,plain,
% 9.66/7.25 ((~(v136(constB89) <=> (v137(constB89) | v142(constB89)))) | v136(constB89) | (~(v137(constB89) | v142(constB89)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35504,plain,
% 9.66/7.25 (v136(constB89)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35503, 35502, 35500])).
% 9.66/7.25 tff(35505,plain,
% 9.66/7.25 ((v136(constB89) | v145(constB89)) | (~v136(constB89))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35506,plain,
% 9.66/7.25 (v136(constB89) | v145(constB89)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35505, 35504])).
% 9.66/7.25 tff(35507,plain,
% 9.66/7.25 ((~(v135(constB89) <=> (v136(constB89) | v145(constB89)))) | v135(constB89) | (~(v136(constB89) | v145(constB89)))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35508,plain,
% 9.66/7.25 (v135(constB89)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35507, 35506, 35498])).
% 9.66/7.25 tff(35509,plain,
% 9.66/7.25 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB89)) | (v86(constB89) <=> v148(constB89)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB89)) | (v86(constB89) <=> v148(constB89)))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35510,plain,
% 9.66/7.25 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB89)) | (v86(constB89) <=> v148(constB89)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35511,plain,
% 9.66/7.25 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB89)) | (v86(constB89) <=> v148(constB89))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35510, 35509])).
% 9.66/7.25 tff(35512,plain,
% 9.66/7.25 ((~v135(constB89)) | (v86(constB89) <=> v148(constB89))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35511, 26179])).
% 9.66/7.25 tff(35513,plain,
% 9.66/7.25 (v86(constB89) <=> v148(constB89)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35512, 35508])).
% 9.66/7.25 tff(35514,plain,
% 9.66/7.25 ((~(v86(constB89) <=> v148(constB89))) | v86(constB89) | (~v148(constB89))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35515,plain,
% 9.66/7.25 (v86(constB89)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35514, 35513, 35496])).
% 9.66/7.25 tff(35516,plain,
% 9.66/7.25 ($false),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35515, 35491])).
% 9.66/7.25 tff(35517,plain,(~(constB89 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.66/7.25 tff(35518,assumption,(constB43 = VarCurr!0), introduced(assumption)).
% 9.66/7.25 tff(35519,plain,
% 9.66/7.25 (v180(constB43) <=> v180(VarCurr!0)),
% 9.66/7.25 inference(monotonicity,[status(thm)],[35518])).
% 9.66/7.25 tff(35520,plain,
% 9.66/7.25 (v180(VarCurr!0) <=> v180(constB43)),
% 9.66/7.25 inference(symmetry,[status(thm)],[35519])).
% 9.66/7.25 tff(35521,plain,
% 9.66/7.25 (v180(constB43)),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[59, 35520])).
% 9.66/7.25 tff(35522,plain,
% 9.66/7.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB42, constB43)) | (v180(constB43) <=> v178(constB42)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB42, constB43)) | (v180(constB43) <=> v178(constB42)))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35523,plain,
% 9.66/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB42, constB43)) | (v180(constB43) <=> v178(constB42)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35524,plain,
% 9.66/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB42, constB43)) | (v180(constB43) <=> v178(constB42))),
% 9.66/7.25 inference(modus_ponens,[status(thm)],[35523, 35522])).
% 9.66/7.25 tff(35525,plain,
% 9.66/7.25 (v180(constB43) <=> v178(constB42)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35524, 7672, 70])).
% 9.66/7.25 tff(35526,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB42) <=> (v181(constB42) | v185(constB42)))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35527,plain,
% 9.66/7.25 (v178(constB42) <=> (v181(constB42) | v185(constB42))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35526, 84])).
% 9.66/7.25 tff(35528,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB42) <=> (~((~v186(constB42)) | (~v187(constB42)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35529,plain,
% 9.66/7.25 (v185(constB42) <=> (~((~v186(constB42)) | (~v187(constB42))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35528, 96])).
% 9.66/7.25 tff(35530,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB42) <=> (~((~v184(constB42)) | (~v159(constB42)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35531,plain,
% 9.66/7.25 (v187(constB42) <=> (~((~v184(constB42)) | (~v159(constB42))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35530, 108])).
% 9.66/7.25 tff(35532,plain,
% 9.66/7.25 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35533,plain,
% 9.66/7.25 (v184(constB42) <=> (~((~v39(constB42)) | (~v9(constB42))))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35532, 120])).
% 9.66/7.25 tff(35534,plain,
% 9.66/7.25 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB42)) <=> v1(constB42))),
% 9.66/7.25 inference(quant_inst,[status(thm)],[])).
% 9.66/7.25 tff(35535,plain,
% 9.66/7.25 ((~v39(constB42)) <=> v1(constB42)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35534, 129])).
% 9.66/7.25 tff(35536,plain,
% 9.66/7.25 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42)) | (~v1(constB42))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35537,plain,
% 9.66/7.25 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35536, 7734])).
% 9.66/7.25 tff(35538,plain,
% 9.66/7.25 (~v39(constB42)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35537, 35535])).
% 9.66/7.25 tff(35539,plain,
% 9.66/7.25 (((~v39(constB42)) | (~v9(constB42))) | v39(constB42)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35540,plain,
% 9.66/7.25 ((~v39(constB42)) | (~v9(constB42))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35539, 35538])).
% 9.66/7.25 tff(35541,plain,
% 9.66/7.25 ((~(v184(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v184(constB42)) | (~((~v39(constB42)) | (~v9(constB42))))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35542,plain,
% 9.66/7.25 ((~(v184(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v184(constB42))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35541, 35540])).
% 9.66/7.25 tff(35543,plain,
% 9.66/7.25 (~v184(constB42)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35542, 35533])).
% 9.66/7.25 tff(35544,plain,
% 9.66/7.25 (((~v184(constB42)) | (~v159(constB42))) | v184(constB42)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35545,plain,
% 9.66/7.25 ((~v184(constB42)) | (~v159(constB42))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35544, 35543])).
% 9.66/7.25 tff(35546,plain,
% 9.66/7.25 ((~(v187(constB42) <=> (~((~v184(constB42)) | (~v159(constB42)))))) | (~v187(constB42)) | (~((~v184(constB42)) | (~v159(constB42))))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35547,plain,
% 9.66/7.25 ((~(v187(constB42) <=> (~((~v184(constB42)) | (~v159(constB42)))))) | (~v187(constB42))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35546, 35545])).
% 9.66/7.25 tff(35548,plain,
% 9.66/7.25 (~v187(constB42)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35547, 35531])).
% 9.66/7.25 tff(35549,plain,
% 9.66/7.25 (((~v186(constB42)) | (~v187(constB42))) | v187(constB42)),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35550,plain,
% 9.66/7.25 ((~v186(constB42)) | (~v187(constB42))),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35549, 35548])).
% 9.66/7.25 tff(35551,plain,
% 9.66/7.25 ((~(v185(constB42) <=> (~((~v186(constB42)) | (~v187(constB42)))))) | (~v185(constB42)) | (~((~v186(constB42)) | (~v187(constB42))))),
% 9.66/7.25 inference(tautology,[status(thm)],[])).
% 9.66/7.25 tff(35552,plain,
% 9.66/7.25 (~v185(constB42)),
% 9.66/7.25 inference(unit_resolution,[status(thm)],[35551, 35550, 35529])).
% 9.66/7.25 tff(35553,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42))))))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35554,plain,
% 9.66/7.25 ((v181(constB42) <=> (~((~v182(constB42)) | (~v157(constB42))))) <=> (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42)))))),
% 9.66/7.25 inference(rewrite,[status(thm)],[])).
% 9.66/7.25 tff(35555,plain,
% 9.66/7.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v182(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42))))))),
% 9.66/7.26 inference(monotonicity,[status(thm)],[35554])).
% 9.66/7.26 tff(35556,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v182(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42))))))),
% 9.66/7.26 inference(transitivity,[status(thm)],[35555, 35553])).
% 9.66/7.26 tff(35557,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v182(constB42)) | (~v157(constB42)))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35558,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42)))))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35557, 35556])).
% 9.66/7.26 tff(35559,plain,
% 9.66/7.26 (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42))))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35558, 161])).
% 9.66/7.26 tff(35560,plain,
% 9.66/7.26 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB42) <=> v180(constB42))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35561,plain,
% 9.66/7.26 (v157(constB42) <=> v180(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35560, 13])).
% 9.66/7.26 tff(35562,plain,
% 9.66/7.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB41, constB42)) | (v180(constB42) <=> v178(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB41, constB42)) | (v180(constB42) <=> v178(constB41)))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35563,plain,
% 9.66/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB41, constB42)) | (v180(constB42) <=> v178(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35564,plain,
% 9.66/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB41, constB42)) | (v180(constB42) <=> v178(constB41))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35563, 35562])).
% 9.66/7.26 tff(35565,plain,
% 9.66/7.26 (v180(constB42) <=> v178(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35564, 7704, 70])).
% 9.66/7.26 tff(35566,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB41) <=> (v181(constB41) | v185(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35567,plain,
% 9.66/7.26 (v178(constB41) <=> (v181(constB41) | v185(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35566, 84])).
% 9.66/7.26 tff(35568,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41))))))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35569,plain,
% 9.66/7.26 ((v181(constB41) <=> (~((~v182(constB41)) | (~v157(constB41))))) <=> (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41)))))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35570,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v182(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41))))))),
% 9.66/7.26 inference(monotonicity,[status(thm)],[35569])).
% 9.66/7.26 tff(35571,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v182(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41))))))),
% 9.66/7.26 inference(transitivity,[status(thm)],[35570, 35568])).
% 9.66/7.26 tff(35572,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v182(constB41)) | (~v157(constB41)))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35573,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41)))))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35572, 35571])).
% 9.66/7.26 tff(35574,plain,
% 9.66/7.26 (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41))))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35573, 161])).
% 9.66/7.26 tff(35575,plain,
% 9.66/7.26 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB41)) <=> v183(constB41))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35576,plain,
% 9.66/7.26 ((~v182(constB41)) <=> v183(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35575, 193])).
% 9.66/7.26 tff(35577,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB41) <=> (v184(constB41) | v26(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35578,plain,
% 9.66/7.26 (v183(constB41) <=> (v184(constB41) | v26(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35577, 202])).
% 9.66/7.26 tff(35579,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35580,plain,
% 9.66/7.26 (v184(constB41) <=> (~((~v39(constB41)) | (~v9(constB41))))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35579, 120])).
% 9.66/7.26 tff(35581,plain,
% 9.66/7.26 (((~![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)))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35582,plain,
% 9.66/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35583,plain,
% 9.66/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35582, 35581])).
% 9.66/7.26 tff(35584,plain,
% 9.66/7.26 (v13(constB42) <=> v9(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35583, 7704, 216])).
% 9.66/7.26 tff(35585,plain,
% 9.66/7.26 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB42) <=> v13(constB42))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35586,plain,
% 9.66/7.26 (v6(constB42) <=> v13(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35585, 230])).
% 9.66/7.26 tff(35587,plain,
% 9.66/7.26 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB42)) <=> v6(constB42))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35588,plain,
% 9.66/7.26 ((~v21(constB42)) <=> v6(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35587, 239])).
% 9.66/7.26 tff(35589,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB42) <=> (v20(constB42) | v21(constB42)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35590,plain,
% 9.66/7.26 (v19(constB42) <=> (v20(constB42) | v21(constB42))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35589, 248])).
% 9.66/7.26 tff(35591,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35592,plain,
% 9.66/7.26 (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42))))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35591, 260])).
% 9.66/7.26 tff(35593,plain,
% 9.66/7.26 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB42)) <=> v18(constB42))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35594,plain,
% 9.66/7.26 ((~v4(constB42)) <=> v18(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35593, 269])).
% 9.66/7.26 tff(35595,plain,
% 9.66/7.26 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB42)),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35596,plain,
% 9.66/7.26 (v4(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35595, 278])).
% 9.66/7.26 tff(35597,plain,
% 9.66/7.26 ((~((~v4(constB42)) <=> v18(constB42))) | (~v4(constB42)) | (~v18(constB42))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35598,plain,
% 9.66/7.26 (~v18(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35597, 35596, 35594])).
% 9.66/7.26 tff(35599,plain,
% 9.66/7.26 ((~(v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))) | v18(constB42) | ((~v19(constB42)) | (~v22(constB42)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35600,plain,
% 9.66/7.26 ((~v19(constB42)) | (~v22(constB42))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35599, 35598, 35592])).
% 9.66/7.26 tff(35601,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB42) <=> (v1(constB42) | v6(constB42)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35602,plain,
% 9.66/7.26 (v22(constB42) <=> (v1(constB42) | v6(constB42))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35601, 291])).
% 9.66/7.26 tff(35603,plain,
% 9.66/7.26 ((v1(constB42) | v6(constB42)) | (~v1(constB42))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35604,plain,
% 9.66/7.26 (v1(constB42) | v6(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35603, 7734])).
% 9.66/7.26 tff(35605,plain,
% 9.66/7.26 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42) | (~(v1(constB42) | v6(constB42)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35606,plain,
% 9.66/7.26 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35605, 35604])).
% 9.66/7.26 tff(35607,plain,
% 9.66/7.26 (v22(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35606, 35602])).
% 9.66/7.26 tff(35608,plain,
% 9.66/7.26 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42)) | (~v22(constB42))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35609,plain,
% 9.66/7.26 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35608, 35607])).
% 9.66/7.26 tff(35610,plain,
% 9.66/7.26 (~v19(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35609, 35600])).
% 9.66/7.26 tff(35611,plain,
% 9.66/7.26 ((~(v19(constB42) <=> (v20(constB42) | v21(constB42)))) | v19(constB42) | (~(v20(constB42) | v21(constB42)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35612,plain,
% 9.66/7.26 (~(v20(constB42) | v21(constB42))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35611, 35610, 35590])).
% 9.66/7.26 tff(35613,plain,
% 9.66/7.26 ((v20(constB42) | v21(constB42)) | (~v21(constB42))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35614,plain,
% 9.66/7.26 (~v21(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35613, 35612])).
% 9.66/7.26 tff(35615,plain,
% 9.66/7.26 ((~((~v21(constB42)) <=> v6(constB42))) | v21(constB42) | v6(constB42)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35616,plain,
% 9.66/7.26 (v6(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35615, 35614, 35588])).
% 9.66/7.26 tff(35617,plain,
% 9.66/7.26 ((~(v6(constB42) <=> v13(constB42))) | (~v6(constB42)) | v13(constB42)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35618,plain,
% 9.66/7.26 (v13(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35617, 35616, 35586])).
% 9.66/7.26 tff(35619,plain,
% 9.66/7.26 ((~(v13(constB42) <=> v9(constB41))) | (~v13(constB42)) | v9(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35620,plain,
% 9.66/7.26 (v9(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35619, 35618, 35584])).
% 9.66/7.26 tff(35621,plain,
% 9.66/7.26 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB41)) <=> v1(constB41))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35622,plain,
% 9.66/7.26 ((~v39(constB41)) <=> v1(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35621, 129])).
% 9.66/7.26 tff(35623,plain,
% 9.66/7.26 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41) | v1(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35624,plain,
% 9.66/7.26 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35623, 7726])).
% 9.66/7.26 tff(35625,plain,
% 9.66/7.26 (v39(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35624, 35622])).
% 9.66/7.26 tff(35626,plain,
% 9.66/7.26 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v39(constB41)) | (~v9(constB41))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35627,plain,
% 9.66/7.26 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v9(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35626, 35625])).
% 9.66/7.26 tff(35628,plain,
% 9.66/7.26 (~((~v39(constB41)) | (~v9(constB41)))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35627, 35620])).
% 9.66/7.26 tff(35629,plain,
% 9.66/7.26 ((~(v184(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))) | v184(constB41) | ((~v39(constB41)) | (~v9(constB41)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35630,plain,
% 9.66/7.26 (v184(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35629, 35628, 35580])).
% 9.66/7.26 tff(35631,plain,
% 9.66/7.26 ((v184(constB41) | v26(constB41)) | (~v184(constB41))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35632,plain,
% 9.66/7.26 (v184(constB41) | v26(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35631, 35630])).
% 9.66/7.26 tff(35633,plain,
% 9.66/7.26 ((~(v183(constB41) <=> (v184(constB41) | v26(constB41)))) | v183(constB41) | (~(v184(constB41) | v26(constB41)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35634,plain,
% 9.66/7.26 (v183(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35633, 35632, 35578])).
% 9.66/7.26 tff(35635,plain,
% 9.66/7.26 ((~((~v182(constB41)) <=> v183(constB41))) | (~v182(constB41)) | (~v183(constB41))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35636,plain,
% 9.66/7.26 (~v182(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35635, 35634, 35576])).
% 9.66/7.26 tff(35637,plain,
% 9.66/7.26 (((~v157(constB41)) | (~v182(constB41))) | v182(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35638,plain,
% 9.66/7.26 ((~v157(constB41)) | (~v182(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35637, 35636])).
% 9.66/7.26 tff(35639,plain,
% 9.66/7.26 ((~(v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41)))))) | (~v181(constB41)) | (~((~v157(constB41)) | (~v182(constB41))))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35640,plain,
% 9.66/7.26 (~v181(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35639, 35638, 35574])).
% 9.66/7.26 tff(35641,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB41) <=> (~((~v186(constB41)) | (~v187(constB41)))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35642,plain,
% 9.66/7.26 (v185(constB41) <=> (~((~v186(constB41)) | (~v187(constB41))))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35641, 96])).
% 9.66/7.26 tff(35643,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB41) <=> (~((~v184(constB41)) | (~v159(constB41)))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35644,plain,
% 9.66/7.26 (v187(constB41) <=> (~((~v184(constB41)) | (~v159(constB41))))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35643, 108])).
% 9.66/7.26 tff(35645,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB41) <=> v161(constB41))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35646,plain,
% 9.66/7.26 (v159(constB41) <=> v161(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35645, 345])).
% 9.66/7.26 tff(35647,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35648,plain,
% 9.66/7.26 (v139(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2)))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35647, 360])).
% 9.66/7.26 tff(35649,plain,
% 9.66/7.26 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB41, bitIndex1) <=> v90(constB41, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB41, bitIndex1) <=> v90(constB41, bitIndex1)))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35650,plain,
% 9.66/7.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB41, bitIndex1) <=> v90(constB41, bitIndex1)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35651,plain,
% 9.66/7.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB41, bitIndex1) <=> v90(constB41, bitIndex1))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35650, 35649])).
% 9.66/7.26 tff(35652,plain,
% 9.66/7.26 (v88(constB41, bitIndex1) <=> v90(constB41, bitIndex1)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35651, 375, 372])).
% 9.66/7.26 tff(35653,plain,
% 9.66/7.26 ((~(v88(constB41, bitIndex1) <=> v90(constB41, bitIndex1))) | v88(constB41, bitIndex1) | (~v90(constB41, bitIndex1))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35654,plain,
% 9.66/7.26 (v88(constB41, bitIndex1)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35653, 13150, 35652])).
% 9.66/7.26 tff(35655,plain,
% 9.66/7.26 ((v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2)) | (~v88(constB41, bitIndex1))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35656,plain,
% 9.66/7.26 (v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35655, 35654])).
% 9.66/7.26 tff(35657,plain,
% 9.66/7.26 ((~(v139(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2))))) | (~v139(constB41)) | (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35658,plain,
% 9.66/7.26 (~v139(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35657, 35656, 35648])).
% 9.66/7.26 tff(35659,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0))))))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35660,plain,
% 9.66/7.26 ((v140(constB41) <=> (~(v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))))) <=> (v140(constB41) <=> (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0)))))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35661,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0))))))),
% 9.66/7.26 inference(monotonicity,[status(thm)],[35660])).
% 9.66/7.26 tff(35662,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0))))))),
% 9.66/7.26 inference(transitivity,[status(thm)],[35661, 35659])).
% 9.66/7.26 tff(35663,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35664,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0)))))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35663, 35662])).
% 9.66/7.26 tff(35665,plain,
% 9.66/7.26 (v140(constB41) <=> (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0))))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35664, 25795])).
% 9.66/7.26 tff(35666,plain,
% 9.66/7.26 ((v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0))) | (~v88(constB41, bitIndex1))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35667,plain,
% 9.66/7.26 (v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35666, 35654])).
% 9.66/7.26 tff(35668,plain,
% 9.66/7.26 ((~(v140(constB41) <=> (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0)))))) | (~v140(constB41)) | (~(v88(constB41, bitIndex2) | v88(constB41, bitIndex1) | (~v88(constB41, bitIndex0))))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35669,plain,
% 9.66/7.26 (~v140(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35668, 35667, 35665])).
% 9.66/7.26 tff(35670,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v168(constB41)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB41) | v140(constB41) | (~v168(constB41)))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35671,plain,
% 9.66/7.26 ((v140(constB41) | v139(constB41) | (~v168(constB41))) <=> (v139(constB41) | v140(constB41) | (~v168(constB41)))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35672,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v168(constB41)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v168(constB41))))),
% 9.66/7.26 inference(monotonicity,[status(thm)],[35671])).
% 9.66/7.26 tff(35673,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v168(constB41)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB41) | v140(constB41) | (~v168(constB41)))),
% 9.66/7.26 inference(transitivity,[status(thm)],[35672, 35670])).
% 9.66/7.26 tff(35674,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v168(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35675,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB41) | v140(constB41) | (~v168(constB41))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35674, 35673])).
% 9.66/7.26 tff(35676,plain,
% 9.66/7.26 (v139(constB41) | v140(constB41) | (~v168(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35675, 25819])).
% 9.66/7.26 tff(35677,plain,
% 9.66/7.26 (~v168(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35676, 35669, 35658])).
% 9.66/7.26 tff(35678,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB41) <=> (v145(constB41) | v165(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35679,plain,
% 9.66/7.26 (v164(constB41) <=> (v145(constB41) | v165(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35678, 25834])).
% 9.66/7.26 tff(35680,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB41) <=> (v142(constB41) | v166(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35681,plain,
% 9.66/7.26 (v165(constB41) <=> (v142(constB41) | v166(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35680, 25846])).
% 9.66/7.26 tff(35682,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB41) <=> (v143(constB41) | v144(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35683,plain,
% 9.66/7.26 (v142(constB41) <=> (v143(constB41) | v144(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35682, 25855])).
% 9.66/7.26 tff(35684,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0)))))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35685,plain,
% 9.66/7.26 ((v143(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1))))) <=> (v143(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0))))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35686,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0)))))),
% 9.66/7.26 inference(monotonicity,[status(thm)],[35685])).
% 9.66/7.26 tff(35687,plain,
% 9.66/7.26 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0)))))),
% 9.66/7.26 inference(transitivity,[status(thm)],[35686, 35684])).
% 9.66/7.26 tff(35688,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)))))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35689,plain,
% 9.66/7.26 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0))))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35688, 35687])).
% 9.66/7.26 tff(35690,plain,
% 9.66/7.26 (v143(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0)))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35689, 25870])).
% 9.66/7.26 tff(35691,plain,
% 9.66/7.26 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB41, bitIndex2) <=> v90(constB41, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB41, bitIndex2) <=> v90(constB41, bitIndex2)))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35692,plain,
% 9.66/7.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB41, bitIndex2) <=> v90(constB41, bitIndex2)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35693,plain,
% 9.66/7.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB41, bitIndex2) <=> v90(constB41, bitIndex2))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35692, 35691])).
% 9.66/7.26 tff(35694,plain,
% 9.66/7.26 (v88(constB41, bitIndex2) <=> v90(constB41, bitIndex2)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35693, 648, 372])).
% 9.66/7.26 tff(35695,plain,
% 9.66/7.26 ((~(v88(constB41, bitIndex2) <=> v90(constB41, bitIndex2))) | (~v88(constB41, bitIndex2)) | v90(constB41, bitIndex2)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35696,plain,
% 9.66/7.26 (~v88(constB41, bitIndex2)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35695, 13088, 35694])).
% 9.66/7.26 tff(35697,plain,
% 9.66/7.26 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB41, bitIndex0) <=> v90(constB41, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB41, bitIndex0) <=> v90(constB41, bitIndex0)))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35698,plain,
% 9.66/7.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB41, bitIndex0) <=> v90(constB41, bitIndex0)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35699,plain,
% 9.66/7.26 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB41, bitIndex0) <=> v90(constB41, bitIndex0))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35698, 35697])).
% 9.66/7.26 tff(35700,plain,
% 9.66/7.26 (v88(constB41, bitIndex0) <=> v90(constB41, bitIndex0)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35699, 9653, 372])).
% 9.66/7.26 tff(35701,plain,
% 9.66/7.26 ((~(v88(constB41, bitIndex0) <=> v90(constB41, bitIndex0))) | (~v88(constB41, bitIndex0)) | v90(constB41, bitIndex0)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35702,plain,
% 9.66/7.26 (~v88(constB41, bitIndex0)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35701, 13119, 35700])).
% 9.66/7.26 tff(35703,plain,
% 9.66/7.26 ((~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0))) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35704,plain,
% 9.66/7.26 (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35703, 35654, 35702, 35696])).
% 9.66/7.26 tff(35705,plain,
% 9.66/7.26 ((~(v143(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0))))) | v143(constB41) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35706,plain,
% 9.66/7.26 (v143(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35705, 35704, 35690])).
% 9.66/7.26 tff(35707,plain,
% 9.66/7.26 ((v143(constB41) | v144(constB41)) | (~v143(constB41))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35708,plain,
% 9.66/7.26 (v143(constB41) | v144(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35707, 35706])).
% 9.66/7.26 tff(35709,plain,
% 9.66/7.26 ((~(v142(constB41) <=> (v143(constB41) | v144(constB41)))) | v142(constB41) | (~(v143(constB41) | v144(constB41)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35710,plain,
% 9.66/7.26 (v142(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35709, 35708, 35683])).
% 9.66/7.26 tff(35711,plain,
% 9.66/7.26 ((v142(constB41) | v166(constB41)) | (~v142(constB41))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35712,plain,
% 9.66/7.26 (v142(constB41) | v166(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35711, 35710])).
% 9.66/7.26 tff(35713,plain,
% 9.66/7.26 ((~(v165(constB41) <=> (v142(constB41) | v166(constB41)))) | v165(constB41) | (~(v142(constB41) | v166(constB41)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35714,plain,
% 9.66/7.26 (v165(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35713, 35712, 35681])).
% 9.66/7.26 tff(35715,plain,
% 9.66/7.26 ((v145(constB41) | v165(constB41)) | (~v165(constB41))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35716,plain,
% 9.66/7.26 (v145(constB41) | v165(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35715, 35714])).
% 9.66/7.26 tff(35717,plain,
% 9.66/7.26 ((~(v164(constB41) <=> (v145(constB41) | v165(constB41)))) | v164(constB41) | (~(v145(constB41) | v165(constB41)))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35718,plain,
% 9.66/7.26 (v164(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35717, 35716, 35679])).
% 9.66/7.26 tff(35719,plain,
% 9.66/7.26 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB41)) | (v161(constB41) <=> v168(constB41)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB41)) | (v161(constB41) <=> v168(constB41)))),
% 9.66/7.26 inference(rewrite,[status(thm)],[])).
% 9.66/7.26 tff(35720,plain,
% 9.66/7.26 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB41)) | (v161(constB41) <=> v168(constB41)))),
% 9.66/7.26 inference(quant_inst,[status(thm)],[])).
% 9.66/7.26 tff(35721,plain,
% 9.66/7.26 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB41)) | (v161(constB41) <=> v168(constB41))),
% 9.66/7.26 inference(modus_ponens,[status(thm)],[35720, 35719])).
% 9.66/7.26 tff(35722,plain,
% 9.66/7.26 ((~v164(constB41)) | (v161(constB41) <=> v168(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35721, 25977])).
% 9.66/7.26 tff(35723,plain,
% 9.66/7.26 (v161(constB41) <=> v168(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35722, 35718])).
% 9.66/7.26 tff(35724,plain,
% 9.66/7.26 ((~(v161(constB41) <=> v168(constB41))) | (~v161(constB41)) | v168(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35725,plain,
% 9.66/7.26 (~v161(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35724, 35723, 35677])).
% 9.66/7.26 tff(35726,plain,
% 9.66/7.26 ((~(v159(constB41) <=> v161(constB41))) | (~v159(constB41)) | v161(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35727,plain,
% 9.66/7.26 ((~(v159(constB41) <=> v161(constB41))) | (~v159(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35726, 35725])).
% 9.66/7.26 tff(35728,plain,
% 9.66/7.26 (~v159(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35727, 35646])).
% 9.66/7.26 tff(35729,plain,
% 9.66/7.26 (((~v184(constB41)) | (~v159(constB41))) | v159(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35730,plain,
% 9.66/7.26 ((~v184(constB41)) | (~v159(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35729, 35728])).
% 9.66/7.26 tff(35731,plain,
% 9.66/7.26 ((~(v187(constB41) <=> (~((~v184(constB41)) | (~v159(constB41)))))) | (~v187(constB41)) | (~((~v184(constB41)) | (~v159(constB41))))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35732,plain,
% 9.66/7.26 (~v187(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35731, 35730, 35644])).
% 9.66/7.26 tff(35733,plain,
% 9.66/7.26 (((~v186(constB41)) | (~v187(constB41))) | v187(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35734,plain,
% 9.66/7.26 ((~v186(constB41)) | (~v187(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35733, 35732])).
% 9.66/7.26 tff(35735,plain,
% 9.66/7.26 ((~(v185(constB41) <=> (~((~v186(constB41)) | (~v187(constB41)))))) | (~v185(constB41)) | (~((~v186(constB41)) | (~v187(constB41))))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35736,plain,
% 9.66/7.26 (~v185(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35735, 35734, 35642])).
% 9.66/7.26 tff(35737,plain,
% 9.66/7.26 ((~(v181(constB41) | v185(constB41))) | v181(constB41) | v185(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35738,plain,
% 9.66/7.26 (~(v181(constB41) | v185(constB41))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35737, 35736, 35640])).
% 9.66/7.26 tff(35739,plain,
% 9.66/7.26 ((~(v178(constB41) <=> (v181(constB41) | v185(constB41)))) | (~v178(constB41)) | (v181(constB41) | v185(constB41))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35740,plain,
% 9.66/7.26 (~v178(constB41)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35739, 35738, 35567])).
% 9.66/7.26 tff(35741,plain,
% 9.66/7.26 ((~(v180(constB42) <=> v178(constB41))) | (~v180(constB42)) | v178(constB41)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35742,plain,
% 9.66/7.26 (~v180(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35741, 35740, 35565])).
% 9.66/7.26 tff(35743,plain,
% 9.66/7.26 ((~(v157(constB42) <=> v180(constB42))) | (~v157(constB42)) | v180(constB42)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35744,plain,
% 9.66/7.26 (~v157(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35743, 35742, 35561])).
% 9.66/7.26 tff(35745,plain,
% 9.66/7.26 (((~v157(constB42)) | (~v182(constB42))) | v157(constB42)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35746,plain,
% 9.66/7.26 ((~v157(constB42)) | (~v182(constB42))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35745, 35744])).
% 9.66/7.26 tff(35747,plain,
% 9.66/7.26 ((~(v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42)))))) | (~v181(constB42)) | (~((~v157(constB42)) | (~v182(constB42))))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35748,plain,
% 9.66/7.26 (~v181(constB42)),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35747, 35746, 35559])).
% 9.66/7.26 tff(35749,plain,
% 9.66/7.26 ((~(v181(constB42) | v185(constB42))) | v181(constB42) | v185(constB42)),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.26 tff(35750,plain,
% 9.66/7.26 (~(v181(constB42) | v185(constB42))),
% 9.66/7.26 inference(unit_resolution,[status(thm)],[35749, 35748, 35552])).
% 9.66/7.26 tff(35751,plain,
% 9.66/7.26 ((~(v178(constB42) <=> (v181(constB42) | v185(constB42)))) | (~v178(constB42)) | (v181(constB42) | v185(constB42))),
% 9.66/7.26 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35752,plain,
% 9.66/7.27 (~v178(constB42)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35751, 35750, 35527])).
% 9.66/7.27 tff(35753,plain,
% 9.66/7.27 ((~(v180(constB43) <=> v178(constB42))) | (~v180(constB43)) | v178(constB42)),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35754,plain,
% 9.66/7.27 (~v180(constB43)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35753, 35752, 35525])).
% 9.66/7.27 tff(35755,plain,
% 9.66/7.27 ($false),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35754, 35521])).
% 9.66/7.27 tff(35756,plain,(~(constB43 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.66/7.27 tff(35757,assumption,(constB69 = VarCurr!0), introduced(assumption)).
% 9.66/7.27 tff(35758,plain,
% 9.66/7.27 (v180(constB69) <=> v180(VarCurr!0)),
% 9.66/7.27 inference(monotonicity,[status(thm)],[35757])).
% 9.66/7.27 tff(35759,plain,
% 9.66/7.27 (v180(VarCurr!0) <=> v180(constB69)),
% 9.66/7.27 inference(symmetry,[status(thm)],[35758])).
% 9.66/7.27 tff(35760,plain,
% 9.66/7.27 (v180(constB69)),
% 9.66/7.27 inference(modus_ponens,[status(thm)],[59, 35759])).
% 9.66/7.27 tff(35761,plain,
% 9.66/7.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> v178(constB68)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB68, constB69)) | (v180(constB69) <=> v178(constB68)))),
% 9.66/7.27 inference(rewrite,[status(thm)],[])).
% 9.66/7.27 tff(35762,plain,
% 9.66/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> v178(constB68)))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35763,plain,
% 9.66/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB68, constB69)) | (v180(constB69) <=> v178(constB68))),
% 9.66/7.27 inference(modus_ponens,[status(thm)],[35762, 35761])).
% 9.66/7.27 tff(35764,plain,
% 9.66/7.27 (v180(constB69) <=> v178(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35763, 6475, 70])).
% 9.66/7.27 tff(35765,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB68) <=> (v181(constB68) | v185(constB68)))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35766,plain,
% 9.66/7.27 (v178(constB68) <=> (v181(constB68) | v185(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35765, 84])).
% 9.66/7.27 tff(35767,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB68) <=> (~((~v186(constB68)) | (~v187(constB68)))))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35768,plain,
% 9.66/7.27 (v185(constB68) <=> (~((~v186(constB68)) | (~v187(constB68))))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35767, 96])).
% 9.66/7.27 tff(35769,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB68) <=> (~((~v184(constB68)) | (~v159(constB68)))))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35770,plain,
% 9.66/7.27 (v187(constB68) <=> (~((~v184(constB68)) | (~v159(constB68))))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35769, 108])).
% 9.66/7.27 tff(35771,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35772,plain,
% 9.66/7.27 (v184(constB68) <=> (~((~v39(constB68)) | (~v9(constB68))))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35771, 120])).
% 9.66/7.27 tff(35773,plain,
% 9.66/7.27 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB68)) <=> v1(constB68))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35774,plain,
% 9.66/7.27 ((~v39(constB68)) <=> v1(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35773, 129])).
% 9.66/7.27 tff(35775,plain,
% 9.66/7.27 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68)) | (~v1(constB68))),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35776,plain,
% 9.66/7.27 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35775, 6537])).
% 9.66/7.27 tff(35777,plain,
% 9.66/7.27 (~v39(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35776, 35774])).
% 9.66/7.27 tff(35778,plain,
% 9.66/7.27 (((~v39(constB68)) | (~v9(constB68))) | v39(constB68)),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35779,plain,
% 9.66/7.27 ((~v39(constB68)) | (~v9(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35778, 35777])).
% 9.66/7.27 tff(35780,plain,
% 9.66/7.27 ((~(v184(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v184(constB68)) | (~((~v39(constB68)) | (~v9(constB68))))),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35781,plain,
% 9.66/7.27 ((~(v184(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v184(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35780, 35779])).
% 9.66/7.27 tff(35782,plain,
% 9.66/7.27 (~v184(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35781, 35772])).
% 9.66/7.27 tff(35783,plain,
% 9.66/7.27 (((~v184(constB68)) | (~v159(constB68))) | v184(constB68)),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35784,plain,
% 9.66/7.27 ((~v184(constB68)) | (~v159(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35783, 35782])).
% 9.66/7.27 tff(35785,plain,
% 9.66/7.27 ((~(v187(constB68) <=> (~((~v184(constB68)) | (~v159(constB68)))))) | (~v187(constB68)) | (~((~v184(constB68)) | (~v159(constB68))))),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35786,plain,
% 9.66/7.27 ((~(v187(constB68) <=> (~((~v184(constB68)) | (~v159(constB68)))))) | (~v187(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35785, 35784])).
% 9.66/7.27 tff(35787,plain,
% 9.66/7.27 (~v187(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35786, 35770])).
% 9.66/7.27 tff(35788,plain,
% 9.66/7.27 (((~v186(constB68)) | (~v187(constB68))) | v187(constB68)),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35789,plain,
% 9.66/7.27 ((~v186(constB68)) | (~v187(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35788, 35787])).
% 9.66/7.27 tff(35790,plain,
% 9.66/7.27 ((~(v185(constB68) <=> (~((~v186(constB68)) | (~v187(constB68)))))) | (~v185(constB68)) | (~((~v186(constB68)) | (~v187(constB68))))),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35791,plain,
% 9.66/7.27 (~v185(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35790, 35789, 35768])).
% 9.66/7.27 tff(35792,plain,
% 9.66/7.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68))))))),
% 9.66/7.27 inference(rewrite,[status(thm)],[])).
% 9.66/7.27 tff(35793,plain,
% 9.66/7.27 ((v181(constB68) <=> (~((~v182(constB68)) | (~v157(constB68))))) <=> (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68)))))),
% 9.66/7.27 inference(rewrite,[status(thm)],[])).
% 9.66/7.27 tff(35794,plain,
% 9.66/7.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v182(constB68)) | (~v157(constB68)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68))))))),
% 9.66/7.27 inference(monotonicity,[status(thm)],[35793])).
% 9.66/7.27 tff(35795,plain,
% 9.66/7.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v182(constB68)) | (~v157(constB68)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68))))))),
% 9.66/7.27 inference(transitivity,[status(thm)],[35794, 35792])).
% 9.66/7.27 tff(35796,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v182(constB68)) | (~v157(constB68)))))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35797,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68)))))),
% 9.66/7.27 inference(modus_ponens,[status(thm)],[35796, 35795])).
% 9.66/7.27 tff(35798,plain,
% 9.66/7.27 (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68))))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35797, 161])).
% 9.66/7.27 tff(35799,plain,
% 9.66/7.27 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB68) <=> v180(constB68))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35800,plain,
% 9.66/7.27 (v157(constB68) <=> v180(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35799, 13])).
% 9.66/7.27 tff(35801,plain,
% 9.66/7.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> v178(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB67, constB68)) | (v180(constB68) <=> v178(constB67)))),
% 9.66/7.27 inference(rewrite,[status(thm)],[])).
% 9.66/7.27 tff(35802,plain,
% 9.66/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> v178(constB67)))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35803,plain,
% 9.66/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB67, constB68)) | (v180(constB68) <=> v178(constB67))),
% 9.66/7.27 inference(modus_ponens,[status(thm)],[35802, 35801])).
% 9.66/7.27 tff(35804,plain,
% 9.66/7.27 (v180(constB68) <=> v178(constB67)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35803, 6507, 70])).
% 9.66/7.27 tff(35805,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB67) <=> (v181(constB67) | v185(constB67)))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35806,plain,
% 9.66/7.27 (v178(constB67) <=> (v181(constB67) | v185(constB67))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35805, 84])).
% 9.66/7.27 tff(35807,plain,
% 9.66/7.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67))))))),
% 9.66/7.27 inference(rewrite,[status(thm)],[])).
% 9.66/7.27 tff(35808,plain,
% 9.66/7.27 ((v181(constB67) <=> (~((~v182(constB67)) | (~v157(constB67))))) <=> (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67)))))),
% 9.66/7.27 inference(rewrite,[status(thm)],[])).
% 9.66/7.27 tff(35809,plain,
% 9.66/7.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v182(constB67)) | (~v157(constB67)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67))))))),
% 9.66/7.27 inference(monotonicity,[status(thm)],[35808])).
% 9.66/7.27 tff(35810,plain,
% 9.66/7.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v182(constB67)) | (~v157(constB67)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67))))))),
% 9.66/7.27 inference(transitivity,[status(thm)],[35809, 35807])).
% 9.66/7.27 tff(35811,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v182(constB67)) | (~v157(constB67)))))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35812,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67)))))),
% 9.66/7.27 inference(modus_ponens,[status(thm)],[35811, 35810])).
% 9.66/7.27 tff(35813,plain,
% 9.66/7.27 (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67))))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35812, 161])).
% 9.66/7.27 tff(35814,plain,
% 9.66/7.27 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB67)) <=> v183(constB67))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35815,plain,
% 9.66/7.27 ((~v182(constB67)) <=> v183(constB67)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35814, 193])).
% 9.66/7.27 tff(35816,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB67) <=> (v184(constB67) | v26(constB67)))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35817,plain,
% 9.66/7.27 (v183(constB67) <=> (v184(constB67) | v26(constB67))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35816, 202])).
% 9.66/7.27 tff(35818,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB67) <=> (~((~v39(constB67)) | (~v9(constB67)))))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35819,plain,
% 9.66/7.27 (v184(constB67) <=> (~((~v39(constB67)) | (~v9(constB67))))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35818, 120])).
% 9.66/7.27 tff(35820,plain,
% 9.66/7.27 (((~![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)))),
% 9.66/7.27 inference(rewrite,[status(thm)],[])).
% 9.66/7.27 tff(35821,plain,
% 9.66/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35822,plain,
% 9.66/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67))),
% 9.66/7.27 inference(modus_ponens,[status(thm)],[35821, 35820])).
% 9.66/7.27 tff(35823,plain,
% 9.66/7.27 (v13(constB68) <=> v9(constB67)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35822, 6507, 216])).
% 9.66/7.27 tff(35824,plain,
% 9.66/7.27 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB68) <=> v13(constB68))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35825,plain,
% 9.66/7.27 (v6(constB68) <=> v13(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35824, 230])).
% 9.66/7.27 tff(35826,plain,
% 9.66/7.27 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB68)) <=> v6(constB68))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35827,plain,
% 9.66/7.27 ((~v21(constB68)) <=> v6(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35826, 239])).
% 9.66/7.27 tff(35828,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB68) <=> (v20(constB68) | v21(constB68)))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35829,plain,
% 9.66/7.27 (v19(constB68) <=> (v20(constB68) | v21(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35828, 248])).
% 9.66/7.27 tff(35830,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68)))))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35831,plain,
% 9.66/7.27 (v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68))))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35830, 260])).
% 9.66/7.27 tff(35832,plain,
% 9.66/7.27 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB68)) <=> v18(constB68))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35833,plain,
% 9.66/7.27 ((~v4(constB68)) <=> v18(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35832, 269])).
% 9.66/7.27 tff(35834,plain,
% 9.66/7.27 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB68)),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35835,plain,
% 9.66/7.27 (v4(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35834, 278])).
% 9.66/7.27 tff(35836,plain,
% 9.66/7.27 ((~((~v4(constB68)) <=> v18(constB68))) | (~v4(constB68)) | (~v18(constB68))),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35837,plain,
% 9.66/7.27 (~v18(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35836, 35835, 35833])).
% 9.66/7.27 tff(35838,plain,
% 9.66/7.27 ((~(v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68)))))) | v18(constB68) | ((~v19(constB68)) | (~v22(constB68)))),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35839,plain,
% 9.66/7.27 ((~v19(constB68)) | (~v22(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35838, 35837, 35831])).
% 9.66/7.27 tff(35840,plain,
% 9.66/7.27 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB68) <=> (v1(constB68) | v6(constB68)))),
% 9.66/7.27 inference(quant_inst,[status(thm)],[])).
% 9.66/7.27 tff(35841,plain,
% 9.66/7.27 (v22(constB68) <=> (v1(constB68) | v6(constB68))),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35840, 291])).
% 9.66/7.27 tff(35842,plain,
% 9.66/7.27 ((v1(constB68) | v6(constB68)) | (~v1(constB68))),
% 9.66/7.27 inference(tautology,[status(thm)],[])).
% 9.66/7.27 tff(35843,plain,
% 9.66/7.27 (v1(constB68) | v6(constB68)),
% 9.66/7.27 inference(unit_resolution,[status(thm)],[35842, 6537])).
% 9.70/7.27 tff(35844,plain,
% 9.70/7.27 ((~(v22(constB68) <=> (v1(constB68) | v6(constB68)))) | v22(constB68) | (~(v1(constB68) | v6(constB68)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35845,plain,
% 9.70/7.27 ((~(v22(constB68) <=> (v1(constB68) | v6(constB68)))) | v22(constB68)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35844, 35843])).
% 9.70/7.27 tff(35846,plain,
% 9.70/7.27 (v22(constB68)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35845, 35841])).
% 9.70/7.27 tff(35847,plain,
% 9.70/7.27 ((~((~v19(constB68)) | (~v22(constB68)))) | (~v19(constB68)) | (~v22(constB68))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35848,plain,
% 9.70/7.27 ((~((~v19(constB68)) | (~v22(constB68)))) | (~v19(constB68))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35847, 35846])).
% 9.70/7.27 tff(35849,plain,
% 9.70/7.27 (~v19(constB68)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35848, 35839])).
% 9.70/7.27 tff(35850,plain,
% 9.70/7.27 ((~(v19(constB68) <=> (v20(constB68) | v21(constB68)))) | v19(constB68) | (~(v20(constB68) | v21(constB68)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35851,plain,
% 9.70/7.27 (~(v20(constB68) | v21(constB68))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35850, 35849, 35829])).
% 9.70/7.27 tff(35852,plain,
% 9.70/7.27 ((v20(constB68) | v21(constB68)) | (~v21(constB68))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35853,plain,
% 9.70/7.27 (~v21(constB68)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35852, 35851])).
% 9.70/7.27 tff(35854,plain,
% 9.70/7.27 ((~((~v21(constB68)) <=> v6(constB68))) | v21(constB68) | v6(constB68)),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35855,plain,
% 9.70/7.27 (v6(constB68)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35854, 35853, 35827])).
% 9.70/7.27 tff(35856,plain,
% 9.70/7.27 ((~(v6(constB68) <=> v13(constB68))) | (~v6(constB68)) | v13(constB68)),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35857,plain,
% 9.70/7.27 (v13(constB68)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35856, 35855, 35825])).
% 9.70/7.27 tff(35858,plain,
% 9.70/7.27 ((~(v13(constB68) <=> v9(constB67))) | (~v13(constB68)) | v9(constB67)),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35859,plain,
% 9.70/7.27 (v9(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35858, 35857, 35823])).
% 9.70/7.27 tff(35860,plain,
% 9.70/7.27 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB67)) <=> v1(constB67))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35861,plain,
% 9.70/7.27 ((~v39(constB67)) <=> v1(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35860, 129])).
% 9.70/7.27 tff(35862,plain,
% 9.70/7.27 ((~((~v39(constB67)) <=> v1(constB67))) | v39(constB67) | v1(constB67)),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35863,plain,
% 9.70/7.27 ((~((~v39(constB67)) <=> v1(constB67))) | v39(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35862, 6529])).
% 9.70/7.27 tff(35864,plain,
% 9.70/7.27 (v39(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35863, 35861])).
% 9.70/7.27 tff(35865,plain,
% 9.70/7.27 ((~((~v39(constB67)) | (~v9(constB67)))) | (~v39(constB67)) | (~v9(constB67))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35866,plain,
% 9.70/7.27 ((~((~v39(constB67)) | (~v9(constB67)))) | (~v9(constB67))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35865, 35864])).
% 9.70/7.27 tff(35867,plain,
% 9.70/7.27 (~((~v39(constB67)) | (~v9(constB67)))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35866, 35859])).
% 9.70/7.27 tff(35868,plain,
% 9.70/7.27 ((~(v184(constB67) <=> (~((~v39(constB67)) | (~v9(constB67)))))) | v184(constB67) | ((~v39(constB67)) | (~v9(constB67)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35869,plain,
% 9.70/7.27 (v184(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35868, 35867, 35819])).
% 9.70/7.27 tff(35870,plain,
% 9.70/7.27 ((v184(constB67) | v26(constB67)) | (~v184(constB67))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35871,plain,
% 9.70/7.27 (v184(constB67) | v26(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35870, 35869])).
% 9.70/7.27 tff(35872,plain,
% 9.70/7.27 ((~(v183(constB67) <=> (v184(constB67) | v26(constB67)))) | v183(constB67) | (~(v184(constB67) | v26(constB67)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35873,plain,
% 9.70/7.27 (v183(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35872, 35871, 35817])).
% 9.70/7.27 tff(35874,plain,
% 9.70/7.27 ((~((~v182(constB67)) <=> v183(constB67))) | (~v182(constB67)) | (~v183(constB67))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35875,plain,
% 9.70/7.27 (~v182(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35874, 35873, 35815])).
% 9.70/7.27 tff(35876,plain,
% 9.70/7.27 (((~v157(constB67)) | (~v182(constB67))) | v182(constB67)),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35877,plain,
% 9.70/7.27 ((~v157(constB67)) | (~v182(constB67))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35876, 35875])).
% 9.70/7.27 tff(35878,plain,
% 9.70/7.27 ((~(v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67)))))) | (~v181(constB67)) | (~((~v157(constB67)) | (~v182(constB67))))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35879,plain,
% 9.70/7.27 (~v181(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35878, 35877, 35813])).
% 9.70/7.27 tff(35880,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB67) <=> (~((~v186(constB67)) | (~v187(constB67)))))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35881,plain,
% 9.70/7.27 (v185(constB67) <=> (~((~v186(constB67)) | (~v187(constB67))))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35880, 96])).
% 9.70/7.27 tff(35882,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB67) <=> (~((~v184(constB67)) | (~v159(constB67)))))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35883,plain,
% 9.70/7.27 (v187(constB67) <=> (~((~v184(constB67)) | (~v159(constB67))))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35882, 108])).
% 9.70/7.27 tff(35884,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB67) <=> v161(constB67))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35885,plain,
% 9.70/7.27 (v159(constB67) <=> v161(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35884, 345])).
% 9.70/7.27 tff(35886,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB67) <=> (~(v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2))))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35887,plain,
% 9.70/7.27 (v139(constB67) <=> (~(v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2)))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35886, 360])).
% 9.70/7.27 tff(35888,plain,
% 9.70/7.27 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1)))),
% 9.70/7.27 inference(rewrite,[status(thm)],[])).
% 9.70/7.27 tff(35889,plain,
% 9.70/7.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1)))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35890,plain,
% 9.70/7.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1))),
% 9.70/7.27 inference(modus_ponens,[status(thm)],[35889, 35888])).
% 9.70/7.27 tff(35891,plain,
% 9.70/7.27 (v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35890, 375, 372])).
% 9.70/7.27 tff(35892,plain,
% 9.70/7.27 ((~(v88(constB67, bitIndex1) <=> v90(constB67, bitIndex1))) | v88(constB67, bitIndex1) | (~v90(constB67, bitIndex1))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35893,plain,
% 9.70/7.27 (v88(constB67, bitIndex1)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35892, 15260, 35891])).
% 9.70/7.27 tff(35894,plain,
% 9.70/7.27 ((v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2)) | (~v88(constB67, bitIndex1))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35895,plain,
% 9.70/7.27 (v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35894, 35893])).
% 9.70/7.27 tff(35896,plain,
% 9.70/7.27 ((~(v139(constB67) <=> (~(v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2))))) | (~v139(constB67)) | (~(v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35897,plain,
% 9.70/7.27 (~v139(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35896, 35895, 35887])).
% 9.70/7.27 tff(35898,plain,
% 9.70/7.27 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))))),
% 9.70/7.27 inference(rewrite,[status(thm)],[])).
% 9.70/7.27 tff(35899,plain,
% 9.70/7.27 ((v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))))) <=> (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))))),
% 9.70/7.27 inference(rewrite,[status(thm)],[])).
% 9.70/7.27 tff(35900,plain,
% 9.70/7.27 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))))),
% 9.70/7.27 inference(monotonicity,[status(thm)],[35899])).
% 9.70/7.27 tff(35901,plain,
% 9.70/7.27 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))))),
% 9.70/7.27 inference(transitivity,[status(thm)],[35900, 35898])).
% 9.70/7.27 tff(35902,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35903,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))))),
% 9.70/7.27 inference(modus_ponens,[status(thm)],[35902, 35901])).
% 9.70/7.27 tff(35904,plain,
% 9.70/7.27 (v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35903, 25795])).
% 9.70/7.27 tff(35905,plain,
% 9.70/7.27 ((v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))) | (~v88(constB67, bitIndex1))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35906,plain,
% 9.70/7.27 (v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35905, 35893])).
% 9.70/7.27 tff(35907,plain,
% 9.70/7.27 ((~(v140(constB67) <=> (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)))))) | (~v140(constB67)) | (~(v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0))))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35908,plain,
% 9.70/7.27 (~v140(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35907, 35906, 35904])).
% 9.70/7.27 tff(35909,plain,
% 9.70/7.27 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB67) | v140(constB67) | (~v168(constB67)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB67) | v140(constB67) | (~v168(constB67)))),
% 9.70/7.27 inference(rewrite,[status(thm)],[])).
% 9.70/7.27 tff(35910,plain,
% 9.70/7.27 ((v140(constB67) | v139(constB67) | (~v168(constB67))) <=> (v139(constB67) | v140(constB67) | (~v168(constB67)))),
% 9.70/7.27 inference(rewrite,[status(thm)],[])).
% 9.70/7.27 tff(35911,plain,
% 9.70/7.27 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB67) | v139(constB67) | (~v168(constB67)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB67) | v140(constB67) | (~v168(constB67))))),
% 9.70/7.27 inference(monotonicity,[status(thm)],[35910])).
% 9.70/7.27 tff(35912,plain,
% 9.70/7.27 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB67) | v139(constB67) | (~v168(constB67)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB67) | v140(constB67) | (~v168(constB67)))),
% 9.70/7.27 inference(transitivity,[status(thm)],[35911, 35909])).
% 9.70/7.27 tff(35913,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB67) | v139(constB67) | (~v168(constB67)))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35914,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB67) | v140(constB67) | (~v168(constB67))),
% 9.70/7.27 inference(modus_ponens,[status(thm)],[35913, 35912])).
% 9.70/7.27 tff(35915,plain,
% 9.70/7.27 (v139(constB67) | v140(constB67) | (~v168(constB67))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35914, 25819])).
% 9.70/7.27 tff(35916,plain,
% 9.70/7.27 (~v168(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35915, 35908, 35897])).
% 9.70/7.27 tff(35917,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB67) <=> (v145(constB67) | v165(constB67)))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35918,plain,
% 9.70/7.27 (v164(constB67) <=> (v145(constB67) | v165(constB67))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35917, 25834])).
% 9.70/7.27 tff(35919,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB67) <=> (v142(constB67) | v166(constB67)))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35920,plain,
% 9.70/7.27 (v165(constB67) <=> (v142(constB67) | v166(constB67))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35919, 25846])).
% 9.70/7.27 tff(35921,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB67) <=> (v141(constB67) | v167(constB67)))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35922,plain,
% 9.70/7.27 (v166(constB67) <=> (v141(constB67) | v167(constB67))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35921, 26362])).
% 9.70/7.27 tff(35923,plain,
% 9.70/7.27 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)))))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35924,plain,
% 9.70/7.27 (v141(constB67) <=> (~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0))))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35923, 26377])).
% 9.70/7.27 tff(35925,plain,
% 9.70/7.27 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2)))),
% 9.70/7.27 inference(rewrite,[status(thm)],[])).
% 9.70/7.27 tff(35926,plain,
% 9.70/7.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2)))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35927,plain,
% 9.70/7.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2))),
% 9.70/7.27 inference(modus_ponens,[status(thm)],[35926, 35925])).
% 9.70/7.27 tff(35928,plain,
% 9.70/7.27 (v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35927, 648, 372])).
% 9.70/7.27 tff(35929,plain,
% 9.70/7.27 ((~(v88(constB67, bitIndex2) <=> v90(constB67, bitIndex2))) | (~v88(constB67, bitIndex2)) | v90(constB67, bitIndex2)),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35930,plain,
% 9.70/7.27 (~v88(constB67, bitIndex2)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35929, 15198, 35928])).
% 9.70/7.27 tff(35931,plain,
% 9.70/7.27 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0)))),
% 9.70/7.27 inference(rewrite,[status(thm)],[])).
% 9.70/7.27 tff(35932,plain,
% 9.70/7.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0)))),
% 9.70/7.27 inference(quant_inst,[status(thm)],[])).
% 9.70/7.27 tff(35933,plain,
% 9.70/7.27 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0))),
% 9.70/7.27 inference(modus_ponens,[status(thm)],[35932, 35931])).
% 9.70/7.27 tff(35934,plain,
% 9.70/7.27 (v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35933, 9653, 372])).
% 9.70/7.27 tff(35935,plain,
% 9.70/7.27 ((~(v88(constB67, bitIndex0) <=> v90(constB67, bitIndex0))) | v88(constB67, bitIndex0) | (~v90(constB67, bitIndex0))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35936,plain,
% 9.70/7.27 (v88(constB67, bitIndex0)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35935, 15229, 35934])).
% 9.70/7.27 tff(35937,plain,
% 9.70/7.27 ((~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)))) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35938,plain,
% 9.70/7.27 (~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)))),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35937, 35893, 35936, 35930])).
% 9.70/7.27 tff(35939,plain,
% 9.70/7.27 ((~(v141(constB67) <=> (~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)))))) | v141(constB67) | (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35940,plain,
% 9.70/7.27 (v141(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35939, 35938, 35924])).
% 9.70/7.27 tff(35941,plain,
% 9.70/7.27 ((v141(constB67) | v167(constB67)) | (~v141(constB67))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35942,plain,
% 9.70/7.27 (v141(constB67) | v167(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35941, 35940])).
% 9.70/7.27 tff(35943,plain,
% 9.70/7.27 ((~(v166(constB67) <=> (v141(constB67) | v167(constB67)))) | v166(constB67) | (~(v141(constB67) | v167(constB67)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35944,plain,
% 9.70/7.27 (v166(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35943, 35942, 35922])).
% 9.70/7.27 tff(35945,plain,
% 9.70/7.27 ((v142(constB67) | v166(constB67)) | (~v166(constB67))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35946,plain,
% 9.70/7.27 (v142(constB67) | v166(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35945, 35944])).
% 9.70/7.27 tff(35947,plain,
% 9.70/7.27 ((~(v165(constB67) <=> (v142(constB67) | v166(constB67)))) | v165(constB67) | (~(v142(constB67) | v166(constB67)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35948,plain,
% 9.70/7.27 (v165(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35947, 35946, 35920])).
% 9.70/7.27 tff(35949,plain,
% 9.70/7.27 ((v145(constB67) | v165(constB67)) | (~v165(constB67))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35950,plain,
% 9.70/7.27 (v145(constB67) | v165(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35949, 35948])).
% 9.70/7.27 tff(35951,plain,
% 9.70/7.27 ((~(v164(constB67) <=> (v145(constB67) | v165(constB67)))) | v164(constB67) | (~(v145(constB67) | v165(constB67)))),
% 9.70/7.27 inference(tautology,[status(thm)],[])).
% 9.70/7.27 tff(35952,plain,
% 9.70/7.27 (v164(constB67)),
% 9.70/7.27 inference(unit_resolution,[status(thm)],[35951, 35950, 35918])).
% 9.70/7.27 tff(35953,plain,
% 9.70/7.27 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB67)) | (v161(constB67) <=> v168(constB67)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB67)) | (v161(constB67) <=> v168(constB67)))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(35954,plain,
% 9.70/7.28 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB67)) | (v161(constB67) <=> v168(constB67)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(35955,plain,
% 9.70/7.28 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB67)) | (v161(constB67) <=> v168(constB67))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[35954, 35953])).
% 9.70/7.28 tff(35956,plain,
% 9.70/7.28 ((~v164(constB67)) | (v161(constB67) <=> v168(constB67))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35955, 25977])).
% 9.70/7.28 tff(35957,plain,
% 9.70/7.28 (v161(constB67) <=> v168(constB67)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35956, 35952])).
% 9.70/7.28 tff(35958,plain,
% 9.70/7.28 ((~(v161(constB67) <=> v168(constB67))) | (~v161(constB67)) | v168(constB67)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35959,plain,
% 9.70/7.28 (~v161(constB67)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35958, 35957, 35916])).
% 9.70/7.28 tff(35960,plain,
% 9.70/7.28 ((~(v159(constB67) <=> v161(constB67))) | (~v159(constB67)) | v161(constB67)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35961,plain,
% 9.70/7.28 ((~(v159(constB67) <=> v161(constB67))) | (~v159(constB67))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35960, 35959])).
% 9.70/7.28 tff(35962,plain,
% 9.70/7.28 (~v159(constB67)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35961, 35885])).
% 9.70/7.28 tff(35963,plain,
% 9.70/7.28 (((~v184(constB67)) | (~v159(constB67))) | v159(constB67)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35964,plain,
% 9.70/7.28 ((~v184(constB67)) | (~v159(constB67))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35963, 35962])).
% 9.70/7.28 tff(35965,plain,
% 9.70/7.28 ((~(v187(constB67) <=> (~((~v184(constB67)) | (~v159(constB67)))))) | (~v187(constB67)) | (~((~v184(constB67)) | (~v159(constB67))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35966,plain,
% 9.70/7.28 (~v187(constB67)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35965, 35964, 35883])).
% 9.70/7.28 tff(35967,plain,
% 9.70/7.28 (((~v186(constB67)) | (~v187(constB67))) | v187(constB67)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35968,plain,
% 9.70/7.28 ((~v186(constB67)) | (~v187(constB67))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35967, 35966])).
% 9.70/7.28 tff(35969,plain,
% 9.70/7.28 ((~(v185(constB67) <=> (~((~v186(constB67)) | (~v187(constB67)))))) | (~v185(constB67)) | (~((~v186(constB67)) | (~v187(constB67))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35970,plain,
% 9.70/7.28 (~v185(constB67)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35969, 35968, 35881])).
% 9.70/7.28 tff(35971,plain,
% 9.70/7.28 ((~(v181(constB67) | v185(constB67))) | v181(constB67) | v185(constB67)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35972,plain,
% 9.70/7.28 (~(v181(constB67) | v185(constB67))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35971, 35970, 35879])).
% 9.70/7.28 tff(35973,plain,
% 9.70/7.28 ((~(v178(constB67) <=> (v181(constB67) | v185(constB67)))) | (~v178(constB67)) | (v181(constB67) | v185(constB67))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35974,plain,
% 9.70/7.28 (~v178(constB67)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35973, 35972, 35806])).
% 9.70/7.28 tff(35975,plain,
% 9.70/7.28 ((~(v180(constB68) <=> v178(constB67))) | (~v180(constB68)) | v178(constB67)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35976,plain,
% 9.70/7.28 (~v180(constB68)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35975, 35974, 35804])).
% 9.70/7.28 tff(35977,plain,
% 9.70/7.28 ((~(v157(constB68) <=> v180(constB68))) | (~v157(constB68)) | v180(constB68)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35978,plain,
% 9.70/7.28 (~v157(constB68)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35977, 35976, 35800])).
% 9.70/7.28 tff(35979,plain,
% 9.70/7.28 (((~v157(constB68)) | (~v182(constB68))) | v157(constB68)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35980,plain,
% 9.70/7.28 ((~v157(constB68)) | (~v182(constB68))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35979, 35978])).
% 9.70/7.28 tff(35981,plain,
% 9.70/7.28 ((~(v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68)))))) | (~v181(constB68)) | (~((~v157(constB68)) | (~v182(constB68))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35982,plain,
% 9.70/7.28 (~v181(constB68)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35981, 35980, 35798])).
% 9.70/7.28 tff(35983,plain,
% 9.70/7.28 ((~(v181(constB68) | v185(constB68))) | v181(constB68) | v185(constB68)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35984,plain,
% 9.70/7.28 (~(v181(constB68) | v185(constB68))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35983, 35982, 35791])).
% 9.70/7.28 tff(35985,plain,
% 9.70/7.28 ((~(v178(constB68) <=> (v181(constB68) | v185(constB68)))) | (~v178(constB68)) | (v181(constB68) | v185(constB68))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35986,plain,
% 9.70/7.28 (~v178(constB68)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35985, 35984, 35766])).
% 9.70/7.28 tff(35987,plain,
% 9.70/7.28 ((~(v180(constB69) <=> v178(constB68))) | (~v180(constB69)) | v178(constB68)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(35988,plain,
% 9.70/7.28 (~v180(constB69)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35987, 35986, 35764])).
% 9.70/7.28 tff(35989,plain,
% 9.70/7.28 ($false),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35988, 35760])).
% 9.70/7.28 tff(35990,plain,(~(constB69 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.28 tff(35991,assumption,(constB111 = VarCurr!0), introduced(assumption)).
% 9.70/7.28 tff(35992,plain,
% 9.70/7.28 (v180(constB111) <=> v180(VarCurr!0)),
% 9.70/7.28 inference(monotonicity,[status(thm)],[35991])).
% 9.70/7.28 tff(35993,plain,
% 9.70/7.28 (v180(VarCurr!0) <=> v180(constB111)),
% 9.70/7.28 inference(symmetry,[status(thm)],[35992])).
% 9.70/7.28 tff(35994,plain,
% 9.70/7.28 (v180(constB111)),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[59, 35993])).
% 9.70/7.28 tff(35995,plain,
% 9.70/7.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> v178(constB110)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB110, constB111)) | (v180(constB111) <=> v178(constB110)))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(35996,plain,
% 9.70/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> v178(constB110)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(35997,plain,
% 9.70/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB110, constB111)) | (v180(constB111) <=> v178(constB110))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[35996, 35995])).
% 9.70/7.28 tff(35998,plain,
% 9.70/7.28 (v180(constB111) <=> v178(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35997, 4552, 70])).
% 9.70/7.28 tff(35999,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB110) <=> (v181(constB110) | v185(constB110)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36000,plain,
% 9.70/7.28 (v178(constB110) <=> (v181(constB110) | v185(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[35999, 84])).
% 9.70/7.28 tff(36001,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB110) <=> (~((~v186(constB110)) | (~v187(constB110)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36002,plain,
% 9.70/7.28 (v185(constB110) <=> (~((~v186(constB110)) | (~v187(constB110))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36001, 96])).
% 9.70/7.28 tff(36003,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB110) <=> (~((~v184(constB110)) | (~v159(constB110)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36004,plain,
% 9.70/7.28 (v187(constB110) <=> (~((~v184(constB110)) | (~v159(constB110))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36003, 108])).
% 9.70/7.28 tff(36005,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36006,plain,
% 9.70/7.28 (v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36005, 120])).
% 9.70/7.28 tff(36007,plain,
% 9.70/7.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB110)) <=> v1(constB110))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36008,plain,
% 9.70/7.28 ((~v39(constB110)) <=> v1(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36007, 129])).
% 9.70/7.28 tff(36009,plain,
% 9.70/7.28 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110)) | (~v1(constB110))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36010,plain,
% 9.70/7.28 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36009, 4614])).
% 9.70/7.28 tff(36011,plain,
% 9.70/7.28 (~v39(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36010, 36008])).
% 9.70/7.28 tff(36012,plain,
% 9.70/7.28 (((~v39(constB110)) | (~v9(constB110))) | v39(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36013,plain,
% 9.70/7.28 ((~v39(constB110)) | (~v9(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36012, 36011])).
% 9.70/7.28 tff(36014,plain,
% 9.70/7.28 ((~(v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v184(constB110)) | (~((~v39(constB110)) | (~v9(constB110))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36015,plain,
% 9.70/7.28 ((~(v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v184(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36014, 36013])).
% 9.70/7.28 tff(36016,plain,
% 9.70/7.28 (~v184(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36015, 36006])).
% 9.70/7.28 tff(36017,plain,
% 9.70/7.28 (((~v184(constB110)) | (~v159(constB110))) | v184(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36018,plain,
% 9.70/7.28 ((~v184(constB110)) | (~v159(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36017, 36016])).
% 9.70/7.28 tff(36019,plain,
% 9.70/7.28 ((~(v187(constB110) <=> (~((~v184(constB110)) | (~v159(constB110)))))) | (~v187(constB110)) | (~((~v184(constB110)) | (~v159(constB110))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36020,plain,
% 9.70/7.28 ((~(v187(constB110) <=> (~((~v184(constB110)) | (~v159(constB110)))))) | (~v187(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36019, 36018])).
% 9.70/7.28 tff(36021,plain,
% 9.70/7.28 (~v187(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36020, 36004])).
% 9.70/7.28 tff(36022,plain,
% 9.70/7.28 (((~v186(constB110)) | (~v187(constB110))) | v187(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36023,plain,
% 9.70/7.28 ((~v186(constB110)) | (~v187(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36022, 36021])).
% 9.70/7.28 tff(36024,plain,
% 9.70/7.28 ((~(v185(constB110) <=> (~((~v186(constB110)) | (~v187(constB110)))))) | (~v185(constB110)) | (~((~v186(constB110)) | (~v187(constB110))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36025,plain,
% 9.70/7.28 (~v185(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36024, 36023, 36002])).
% 9.70/7.28 tff(36026,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110))))))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36027,plain,
% 9.70/7.28 ((v181(constB110) <=> (~((~v182(constB110)) | (~v157(constB110))))) <=> (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110)))))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36028,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v182(constB110)) | (~v157(constB110)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110))))))),
% 9.70/7.28 inference(monotonicity,[status(thm)],[36027])).
% 9.70/7.28 tff(36029,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v182(constB110)) | (~v157(constB110)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110))))))),
% 9.70/7.28 inference(transitivity,[status(thm)],[36028, 36026])).
% 9.70/7.28 tff(36030,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v182(constB110)) | (~v157(constB110)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36031,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110)))))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[36030, 36029])).
% 9.70/7.28 tff(36032,plain,
% 9.70/7.28 (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36031, 161])).
% 9.70/7.28 tff(36033,plain,
% 9.70/7.28 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB110) <=> v180(constB110))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36034,plain,
% 9.70/7.28 (v157(constB110) <=> v180(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36033, 13])).
% 9.70/7.28 tff(36035,plain,
% 9.70/7.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> v178(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB109, constB110)) | (v180(constB110) <=> v178(constB109)))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36036,plain,
% 9.70/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> v178(constB109)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36037,plain,
% 9.70/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB109, constB110)) | (v180(constB110) <=> v178(constB109))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[36036, 36035])).
% 9.70/7.28 tff(36038,plain,
% 9.70/7.28 (v180(constB110) <=> v178(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36037, 4584, 70])).
% 9.70/7.28 tff(36039,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB109) <=> (v181(constB109) | v185(constB109)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36040,plain,
% 9.70/7.28 (v178(constB109) <=> (v181(constB109) | v185(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36039, 84])).
% 9.70/7.28 tff(36041,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109))))))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36042,plain,
% 9.70/7.28 ((v181(constB109) <=> (~((~v182(constB109)) | (~v157(constB109))))) <=> (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109)))))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36043,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v182(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109))))))),
% 9.70/7.28 inference(monotonicity,[status(thm)],[36042])).
% 9.70/7.28 tff(36044,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v182(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109))))))),
% 9.70/7.28 inference(transitivity,[status(thm)],[36043, 36041])).
% 9.70/7.28 tff(36045,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v182(constB109)) | (~v157(constB109)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36046,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109)))))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[36045, 36044])).
% 9.70/7.28 tff(36047,plain,
% 9.70/7.28 (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36046, 161])).
% 9.70/7.28 tff(36048,plain,
% 9.70/7.28 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB109)) <=> v183(constB109))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36049,plain,
% 9.70/7.28 ((~v182(constB109)) <=> v183(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36048, 193])).
% 9.70/7.28 tff(36050,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB109) <=> (v184(constB109) | v26(constB109)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36051,plain,
% 9.70/7.28 (v183(constB109) <=> (v184(constB109) | v26(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36050, 202])).
% 9.70/7.28 tff(36052,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB109) <=> (~((~v39(constB109)) | (~v9(constB109)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36053,plain,
% 9.70/7.28 (v184(constB109) <=> (~((~v39(constB109)) | (~v9(constB109))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36052, 120])).
% 9.70/7.28 tff(36054,plain,
% 9.70/7.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109)))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36055,plain,
% 9.70/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36056,plain,
% 9.70/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[36055, 36054])).
% 9.70/7.28 tff(36057,plain,
% 9.70/7.28 (v13(constB110) <=> v9(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36056, 4584, 216])).
% 9.70/7.28 tff(36058,plain,
% 9.70/7.28 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB110) <=> v13(constB110))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36059,plain,
% 9.70/7.28 (v6(constB110) <=> v13(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36058, 230])).
% 9.70/7.28 tff(36060,plain,
% 9.70/7.28 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB110)) <=> v6(constB110))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36061,plain,
% 9.70/7.28 ((~v21(constB110)) <=> v6(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36060, 239])).
% 9.70/7.28 tff(36062,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB110) <=> (v20(constB110) | v21(constB110)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36063,plain,
% 9.70/7.28 (v19(constB110) <=> (v20(constB110) | v21(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36062, 248])).
% 9.70/7.28 tff(36064,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36065,plain,
% 9.70/7.28 (v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36064, 260])).
% 9.70/7.28 tff(36066,plain,
% 9.70/7.28 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB110)) <=> v18(constB110))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36067,plain,
% 9.70/7.28 ((~v4(constB110)) <=> v18(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36066, 269])).
% 9.70/7.28 tff(36068,plain,
% 9.70/7.28 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB110)),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36069,plain,
% 9.70/7.28 (v4(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36068, 278])).
% 9.70/7.28 tff(36070,plain,
% 9.70/7.28 ((~((~v4(constB110)) <=> v18(constB110))) | (~v4(constB110)) | (~v18(constB110))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36071,plain,
% 9.70/7.28 (~v18(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36070, 36069, 36067])).
% 9.70/7.28 tff(36072,plain,
% 9.70/7.28 ((~(v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110)))))) | v18(constB110) | ((~v19(constB110)) | (~v22(constB110)))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36073,plain,
% 9.70/7.28 ((~v19(constB110)) | (~v22(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36072, 36071, 36065])).
% 9.70/7.28 tff(36074,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB110) <=> (v1(constB110) | v6(constB110)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36075,plain,
% 9.70/7.28 (v22(constB110) <=> (v1(constB110) | v6(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36074, 291])).
% 9.70/7.28 tff(36076,plain,
% 9.70/7.28 ((v1(constB110) | v6(constB110)) | (~v1(constB110))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36077,plain,
% 9.70/7.28 (v1(constB110) | v6(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36076, 4614])).
% 9.70/7.28 tff(36078,plain,
% 9.70/7.28 ((~(v22(constB110) <=> (v1(constB110) | v6(constB110)))) | v22(constB110) | (~(v1(constB110) | v6(constB110)))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36079,plain,
% 9.70/7.28 ((~(v22(constB110) <=> (v1(constB110) | v6(constB110)))) | v22(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36078, 36077])).
% 9.70/7.28 tff(36080,plain,
% 9.70/7.28 (v22(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36079, 36075])).
% 9.70/7.28 tff(36081,plain,
% 9.70/7.28 ((~((~v19(constB110)) | (~v22(constB110)))) | (~v19(constB110)) | (~v22(constB110))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36082,plain,
% 9.70/7.28 ((~((~v19(constB110)) | (~v22(constB110)))) | (~v19(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36081, 36080])).
% 9.70/7.28 tff(36083,plain,
% 9.70/7.28 (~v19(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36082, 36073])).
% 9.70/7.28 tff(36084,plain,
% 9.70/7.28 ((~(v19(constB110) <=> (v20(constB110) | v21(constB110)))) | v19(constB110) | (~(v20(constB110) | v21(constB110)))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36085,plain,
% 9.70/7.28 (~(v20(constB110) | v21(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36084, 36083, 36063])).
% 9.70/7.28 tff(36086,plain,
% 9.70/7.28 ((v20(constB110) | v21(constB110)) | (~v21(constB110))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36087,plain,
% 9.70/7.28 (~v21(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36086, 36085])).
% 9.70/7.28 tff(36088,plain,
% 9.70/7.28 ((~((~v21(constB110)) <=> v6(constB110))) | v21(constB110) | v6(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36089,plain,
% 9.70/7.28 (v6(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36088, 36087, 36061])).
% 9.70/7.28 tff(36090,plain,
% 9.70/7.28 ((~(v6(constB110) <=> v13(constB110))) | (~v6(constB110)) | v13(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36091,plain,
% 9.70/7.28 (v13(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36090, 36089, 36059])).
% 9.70/7.28 tff(36092,plain,
% 9.70/7.28 ((~(v13(constB110) <=> v9(constB109))) | (~v13(constB110)) | v9(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36093,plain,
% 9.70/7.28 (v9(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36092, 36091, 36057])).
% 9.70/7.28 tff(36094,plain,
% 9.70/7.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB109)) <=> v1(constB109))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36095,plain,
% 9.70/7.28 ((~v39(constB109)) <=> v1(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36094, 129])).
% 9.70/7.28 tff(36096,plain,
% 9.70/7.28 ((~((~v39(constB109)) <=> v1(constB109))) | v39(constB109) | v1(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36097,plain,
% 9.70/7.28 ((~((~v39(constB109)) <=> v1(constB109))) | v39(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36096, 4606])).
% 9.70/7.28 tff(36098,plain,
% 9.70/7.28 (v39(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36097, 36095])).
% 9.70/7.28 tff(36099,plain,
% 9.70/7.28 ((~((~v39(constB109)) | (~v9(constB109)))) | (~v39(constB109)) | (~v9(constB109))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36100,plain,
% 9.70/7.28 ((~((~v39(constB109)) | (~v9(constB109)))) | (~v9(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36099, 36098])).
% 9.70/7.28 tff(36101,plain,
% 9.70/7.28 (~((~v39(constB109)) | (~v9(constB109)))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36100, 36093])).
% 9.70/7.28 tff(36102,plain,
% 9.70/7.28 ((~(v184(constB109) <=> (~((~v39(constB109)) | (~v9(constB109)))))) | v184(constB109) | ((~v39(constB109)) | (~v9(constB109)))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36103,plain,
% 9.70/7.28 (v184(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36102, 36101, 36053])).
% 9.70/7.28 tff(36104,plain,
% 9.70/7.28 ((v184(constB109) | v26(constB109)) | (~v184(constB109))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36105,plain,
% 9.70/7.28 (v184(constB109) | v26(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36104, 36103])).
% 9.70/7.28 tff(36106,plain,
% 9.70/7.28 ((~(v183(constB109) <=> (v184(constB109) | v26(constB109)))) | v183(constB109) | (~(v184(constB109) | v26(constB109)))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36107,plain,
% 9.70/7.28 (v183(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36106, 36105, 36051])).
% 9.70/7.28 tff(36108,plain,
% 9.70/7.28 ((~((~v182(constB109)) <=> v183(constB109))) | (~v182(constB109)) | (~v183(constB109))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36109,plain,
% 9.70/7.28 (~v182(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36108, 36107, 36049])).
% 9.70/7.28 tff(36110,plain,
% 9.70/7.28 (((~v157(constB109)) | (~v182(constB109))) | v182(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36111,plain,
% 9.70/7.28 ((~v157(constB109)) | (~v182(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36110, 36109])).
% 9.70/7.28 tff(36112,plain,
% 9.70/7.28 ((~(v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109)))))) | (~v181(constB109)) | (~((~v157(constB109)) | (~v182(constB109))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36113,plain,
% 9.70/7.28 (~v181(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36112, 36111, 36047])).
% 9.70/7.28 tff(36114,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB109) <=> (~((~v186(constB109)) | (~v187(constB109)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36115,plain,
% 9.70/7.28 (v185(constB109) <=> (~((~v186(constB109)) | (~v187(constB109))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36114, 96])).
% 9.70/7.28 tff(36116,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB109) <=> (~((~v184(constB109)) | (~v159(constB109)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36117,plain,
% 9.70/7.28 (v187(constB109) <=> (~((~v184(constB109)) | (~v159(constB109))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36116, 108])).
% 9.70/7.28 tff(36118,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB109) <=> v161(constB109))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36119,plain,
% 9.70/7.28 (v159(constB109) <=> v161(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36118, 345])).
% 9.70/7.28 tff(36120,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36121,plain,
% 9.70/7.28 (v139(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2)))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36120, 360])).
% 9.70/7.28 tff(36122,plain,
% 9.70/7.28 ((v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex2))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36123,plain,
% 9.70/7.28 (v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36122, 34710])).
% 9.70/7.28 tff(36124,plain,
% 9.70/7.28 ((~(v139(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2))))) | (~v139(constB109)) | (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2)))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36125,plain,
% 9.70/7.28 (~v139(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36124, 36123, 36121])).
% 9.70/7.28 tff(36126,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0))))))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36127,plain,
% 9.70/7.28 ((v140(constB109) <=> (~(v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0))))) <=> (v140(constB109) <=> (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0)))))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36128,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0))))))),
% 9.70/7.28 inference(monotonicity,[status(thm)],[36127])).
% 9.70/7.28 tff(36129,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0))))))),
% 9.70/7.28 inference(transitivity,[status(thm)],[36128, 36126])).
% 9.70/7.28 tff(36130,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0)))))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36131,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0)))))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[36130, 36129])).
% 9.70/7.28 tff(36132,plain,
% 9.70/7.28 (v140(constB109) <=> (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0))))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36131, 25795])).
% 9.70/7.28 tff(36133,plain,
% 9.70/7.28 ((v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0))) | (~v88(constB109, bitIndex2))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36134,plain,
% 9.70/7.28 (v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36133, 34710])).
% 9.70/7.28 tff(36135,plain,
% 9.70/7.28 ((~(v140(constB109) <=> (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0)))))) | (~v140(constB109)) | (~(v88(constB109, bitIndex2) | v88(constB109, bitIndex1) | (~v88(constB109, bitIndex0))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36136,plain,
% 9.70/7.28 (~v140(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36135, 36134, 36132])).
% 9.70/7.28 tff(36137,plain,
% 9.70/7.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v168(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB109) | v139(constB109) | (~v168(constB109)))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36138,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v168(constB109)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36139,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB109) | v139(constB109) | (~v168(constB109))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[36138, 36137])).
% 9.70/7.28 tff(36140,plain,
% 9.70/7.28 (v140(constB109) | v139(constB109) | (~v168(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36139, 25819])).
% 9.70/7.28 tff(36141,plain,
% 9.70/7.28 (~v168(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36140, 36136, 36125])).
% 9.70/7.28 tff(36142,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB109) <=> (v145(constB109) | v165(constB109)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36143,plain,
% 9.70/7.28 (v164(constB109) <=> (v145(constB109) | v165(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36142, 25834])).
% 9.70/7.28 tff(36144,plain,
% 9.70/7.28 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB109) <=> (v142(constB109) | v166(constB109)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36145,plain,
% 9.70/7.28 (v165(constB109) <=> (v142(constB109) | v166(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36144, 25846])).
% 9.70/7.28 tff(36146,plain,
% 9.70/7.28 ((v142(constB109) | v166(constB109)) | (~v142(constB109))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36147,plain,
% 9.70/7.28 (v142(constB109) | v166(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36146, 34730])).
% 9.70/7.28 tff(36148,plain,
% 9.70/7.28 ((~(v165(constB109) <=> (v142(constB109) | v166(constB109)))) | v165(constB109) | (~(v142(constB109) | v166(constB109)))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36149,plain,
% 9.70/7.28 (v165(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36148, 36147, 36145])).
% 9.70/7.28 tff(36150,plain,
% 9.70/7.28 ((v145(constB109) | v165(constB109)) | (~v165(constB109))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36151,plain,
% 9.70/7.28 (v145(constB109) | v165(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36150, 36149])).
% 9.70/7.28 tff(36152,plain,
% 9.70/7.28 ((~(v164(constB109) <=> (v145(constB109) | v165(constB109)))) | v164(constB109) | (~(v145(constB109) | v165(constB109)))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36153,plain,
% 9.70/7.28 (v164(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36152, 36151, 36143])).
% 9.70/7.28 tff(36154,plain,
% 9.70/7.28 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB109)) | (v161(constB109) <=> v168(constB109)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB109)) | (v161(constB109) <=> v168(constB109)))),
% 9.70/7.28 inference(rewrite,[status(thm)],[])).
% 9.70/7.28 tff(36155,plain,
% 9.70/7.28 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB109)) | (v161(constB109) <=> v168(constB109)))),
% 9.70/7.28 inference(quant_inst,[status(thm)],[])).
% 9.70/7.28 tff(36156,plain,
% 9.70/7.28 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB109)) | (v161(constB109) <=> v168(constB109))),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[36155, 36154])).
% 9.70/7.28 tff(36157,plain,
% 9.70/7.28 ((~v164(constB109)) | (v161(constB109) <=> v168(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36156, 25977])).
% 9.70/7.28 tff(36158,plain,
% 9.70/7.28 (v161(constB109) <=> v168(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36157, 36153])).
% 9.70/7.28 tff(36159,plain,
% 9.70/7.28 ((~(v161(constB109) <=> v168(constB109))) | (~v161(constB109)) | v168(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36160,plain,
% 9.70/7.28 (~v161(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36159, 36158, 36141])).
% 9.70/7.28 tff(36161,plain,
% 9.70/7.28 ((~(v159(constB109) <=> v161(constB109))) | (~v159(constB109)) | v161(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36162,plain,
% 9.70/7.28 ((~(v159(constB109) <=> v161(constB109))) | (~v159(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36161, 36160])).
% 9.70/7.28 tff(36163,plain,
% 9.70/7.28 (~v159(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36162, 36119])).
% 9.70/7.28 tff(36164,plain,
% 9.70/7.28 (((~v184(constB109)) | (~v159(constB109))) | v159(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36165,plain,
% 9.70/7.28 ((~v184(constB109)) | (~v159(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36164, 36163])).
% 9.70/7.28 tff(36166,plain,
% 9.70/7.28 ((~(v187(constB109) <=> (~((~v184(constB109)) | (~v159(constB109)))))) | (~v187(constB109)) | (~((~v184(constB109)) | (~v159(constB109))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36167,plain,
% 9.70/7.28 (~v187(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36166, 36165, 36117])).
% 9.70/7.28 tff(36168,plain,
% 9.70/7.28 (((~v186(constB109)) | (~v187(constB109))) | v187(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36169,plain,
% 9.70/7.28 ((~v186(constB109)) | (~v187(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36168, 36167])).
% 9.70/7.28 tff(36170,plain,
% 9.70/7.28 ((~(v185(constB109) <=> (~((~v186(constB109)) | (~v187(constB109)))))) | (~v185(constB109)) | (~((~v186(constB109)) | (~v187(constB109))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36171,plain,
% 9.70/7.28 (~v185(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36170, 36169, 36115])).
% 9.70/7.28 tff(36172,plain,
% 9.70/7.28 ((~(v181(constB109) | v185(constB109))) | v181(constB109) | v185(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36173,plain,
% 9.70/7.28 (~(v181(constB109) | v185(constB109))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36172, 36171, 36113])).
% 9.70/7.28 tff(36174,plain,
% 9.70/7.28 ((~(v178(constB109) <=> (v181(constB109) | v185(constB109)))) | (~v178(constB109)) | (v181(constB109) | v185(constB109))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36175,plain,
% 9.70/7.28 (~v178(constB109)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36174, 36173, 36040])).
% 9.70/7.28 tff(36176,plain,
% 9.70/7.28 ((~(v180(constB110) <=> v178(constB109))) | (~v180(constB110)) | v178(constB109)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36177,plain,
% 9.70/7.28 (~v180(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36176, 36175, 36038])).
% 9.70/7.28 tff(36178,plain,
% 9.70/7.28 ((~(v157(constB110) <=> v180(constB110))) | (~v157(constB110)) | v180(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36179,plain,
% 9.70/7.28 (~v157(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36178, 36177, 36034])).
% 9.70/7.28 tff(36180,plain,
% 9.70/7.28 (((~v157(constB110)) | (~v182(constB110))) | v157(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36181,plain,
% 9.70/7.28 ((~v157(constB110)) | (~v182(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36180, 36179])).
% 9.70/7.28 tff(36182,plain,
% 9.70/7.28 ((~(v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110)))))) | (~v181(constB110)) | (~((~v157(constB110)) | (~v182(constB110))))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36183,plain,
% 9.70/7.28 (~v181(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36182, 36181, 36032])).
% 9.70/7.28 tff(36184,plain,
% 9.70/7.28 ((~(v181(constB110) | v185(constB110))) | v181(constB110) | v185(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36185,plain,
% 9.70/7.28 (~(v181(constB110) | v185(constB110))),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36184, 36183, 36025])).
% 9.70/7.28 tff(36186,plain,
% 9.70/7.28 ((~(v178(constB110) <=> (v181(constB110) | v185(constB110)))) | (~v178(constB110)) | (v181(constB110) | v185(constB110))),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36187,plain,
% 9.70/7.28 (~v178(constB110)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36186, 36185, 36000])).
% 9.70/7.28 tff(36188,plain,
% 9.70/7.28 ((~(v180(constB111) <=> v178(constB110))) | (~v180(constB111)) | v178(constB110)),
% 9.70/7.28 inference(tautology,[status(thm)],[])).
% 9.70/7.28 tff(36189,plain,
% 9.70/7.28 (~v180(constB111)),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36188, 36187, 35998])).
% 9.70/7.28 tff(36190,plain,
% 9.70/7.28 ($false),
% 9.70/7.28 inference(unit_resolution,[status(thm)],[36189, 35994])).
% 9.70/7.28 tff(36191,plain,(~(constB111 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.28 tff(36192,assumption,(constB115 = VarCurr!0), introduced(assumption)).
% 9.70/7.28 tff(36193,plain,
% 9.70/7.28 (v180(constB115) <=> v180(VarCurr!0)),
% 9.70/7.28 inference(monotonicity,[status(thm)],[36192])).
% 9.70/7.28 tff(36194,plain,
% 9.70/7.28 (v180(VarCurr!0) <=> v180(constB115)),
% 9.70/7.28 inference(symmetry,[status(thm)],[36193])).
% 9.70/7.28 tff(36195,plain,
% 9.70/7.28 (v180(constB115)),
% 9.70/7.28 inference(modus_ponens,[status(thm)],[59, 36194])).
% 9.70/7.28 tff(36196,plain,
% 9.70/7.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114)))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36197,plain,
% 9.70/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36198,plain,
% 9.70/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36197, 36196])).
% 9.70/7.29 tff(36199,plain,
% 9.70/7.29 (v180(constB115) <=> v178(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36198, 4360, 70])).
% 9.70/7.29 tff(36200,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB114) <=> (v181(constB114) | v185(constB114)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36201,plain,
% 9.70/7.29 (v178(constB114) <=> (v181(constB114) | v185(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36200, 84])).
% 9.70/7.29 tff(36202,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36203,plain,
% 9.70/7.29 (v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36202, 96])).
% 9.70/7.29 tff(36204,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB114) <=> (~((~v184(constB114)) | (~v159(constB114)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36205,plain,
% 9.70/7.29 (v187(constB114) <=> (~((~v184(constB114)) | (~v159(constB114))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36204, 108])).
% 9.70/7.29 tff(36206,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36207,plain,
% 9.70/7.29 (v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36206, 120])).
% 9.70/7.29 tff(36208,plain,
% 9.70/7.29 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB114)) <=> v1(constB114))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36209,plain,
% 9.70/7.29 ((~v39(constB114)) <=> v1(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36208, 129])).
% 9.70/7.29 tff(36210,plain,
% 9.70/7.29 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114)) | (~v1(constB114))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36211,plain,
% 9.70/7.29 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36210, 4422])).
% 9.70/7.29 tff(36212,plain,
% 9.70/7.29 (~v39(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36211, 36209])).
% 9.70/7.29 tff(36213,plain,
% 9.70/7.29 (((~v39(constB114)) | (~v9(constB114))) | v39(constB114)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36214,plain,
% 9.70/7.29 ((~v39(constB114)) | (~v9(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36213, 36212])).
% 9.70/7.29 tff(36215,plain,
% 9.70/7.29 ((~(v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v184(constB114)) | (~((~v39(constB114)) | (~v9(constB114))))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36216,plain,
% 9.70/7.29 ((~(v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v184(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36215, 36214])).
% 9.70/7.29 tff(36217,plain,
% 9.70/7.29 (~v184(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36216, 36207])).
% 9.70/7.29 tff(36218,plain,
% 9.70/7.29 (((~v184(constB114)) | (~v159(constB114))) | v184(constB114)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36219,plain,
% 9.70/7.29 ((~v184(constB114)) | (~v159(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36218, 36217])).
% 9.70/7.29 tff(36220,plain,
% 9.70/7.29 ((~(v187(constB114) <=> (~((~v184(constB114)) | (~v159(constB114)))))) | (~v187(constB114)) | (~((~v184(constB114)) | (~v159(constB114))))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36221,plain,
% 9.70/7.29 ((~(v187(constB114) <=> (~((~v184(constB114)) | (~v159(constB114)))))) | (~v187(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36220, 36219])).
% 9.70/7.29 tff(36222,plain,
% 9.70/7.29 (~v187(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36221, 36205])).
% 9.70/7.29 tff(36223,plain,
% 9.70/7.29 (((~v186(constB114)) | (~v187(constB114))) | v187(constB114)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36224,plain,
% 9.70/7.29 ((~v186(constB114)) | (~v187(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36223, 36222])).
% 9.70/7.29 tff(36225,plain,
% 9.70/7.29 ((~(v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114)))))) | (~v185(constB114)) | (~((~v186(constB114)) | (~v187(constB114))))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36226,plain,
% 9.70/7.29 (~v185(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36225, 36224, 36203])).
% 9.70/7.29 tff(36227,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114))))))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36228,plain,
% 9.70/7.29 ((v181(constB114) <=> (~((~v182(constB114)) | (~v157(constB114))))) <=> (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114)))))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36229,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v157(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114))))))),
% 9.70/7.29 inference(monotonicity,[status(thm)],[36228])).
% 9.70/7.29 tff(36230,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v157(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114))))))),
% 9.70/7.29 inference(transitivity,[status(thm)],[36229, 36227])).
% 9.70/7.29 tff(36231,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v157(constB114)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36232,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114)))))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36231, 36230])).
% 9.70/7.29 tff(36233,plain,
% 9.70/7.29 (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36232, 161])).
% 9.70/7.29 tff(36234,plain,
% 9.70/7.29 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB114) <=> v180(constB114))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36235,plain,
% 9.70/7.29 (v157(constB114) <=> v180(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36234, 13])).
% 9.70/7.29 tff(36236,plain,
% 9.70/7.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113)))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36237,plain,
% 9.70/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36238,plain,
% 9.70/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36237, 36236])).
% 9.70/7.29 tff(36239,plain,
% 9.70/7.29 (v180(constB114) <=> v178(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36238, 4392, 70])).
% 9.70/7.29 tff(36240,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB113) <=> (v181(constB113) | v185(constB113)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36241,plain,
% 9.70/7.29 (v178(constB113) <=> (v181(constB113) | v185(constB113))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36240, 84])).
% 9.70/7.29 tff(36242,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113))))))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36243,plain,
% 9.70/7.29 ((v181(constB113) <=> (~((~v182(constB113)) | (~v157(constB113))))) <=> (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113)))))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36244,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v157(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113))))))),
% 9.70/7.29 inference(monotonicity,[status(thm)],[36243])).
% 9.70/7.29 tff(36245,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v157(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113))))))),
% 9.70/7.29 inference(transitivity,[status(thm)],[36244, 36242])).
% 9.70/7.29 tff(36246,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v157(constB113)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36247,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113)))))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36246, 36245])).
% 9.70/7.29 tff(36248,plain,
% 9.70/7.29 (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36247, 161])).
% 9.70/7.29 tff(36249,plain,
% 9.70/7.29 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB113)) <=> v183(constB113))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36250,plain,
% 9.70/7.29 ((~v182(constB113)) <=> v183(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36249, 193])).
% 9.70/7.29 tff(36251,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB113) <=> (v184(constB113) | v26(constB113)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36252,plain,
% 9.70/7.29 (v183(constB113) <=> (v184(constB113) | v26(constB113))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36251, 202])).
% 9.70/7.29 tff(36253,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36254,plain,
% 9.70/7.29 (v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36253, 120])).
% 9.70/7.29 tff(36255,plain,
% 9.70/7.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36256,plain,
% 9.70/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36257,plain,
% 9.70/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36256, 36255])).
% 9.70/7.29 tff(36258,plain,
% 9.70/7.29 (v13(constB114) <=> v9(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36257, 4392, 216])).
% 9.70/7.29 tff(36259,plain,
% 9.70/7.29 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB114) <=> v13(constB114))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36260,plain,
% 9.70/7.29 (v6(constB114) <=> v13(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36259, 230])).
% 9.70/7.29 tff(36261,plain,
% 9.70/7.29 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB114)) <=> v6(constB114))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36262,plain,
% 9.70/7.29 ((~v21(constB114)) <=> v6(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36261, 239])).
% 9.70/7.29 tff(36263,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB114) <=> (v20(constB114) | v21(constB114)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36264,plain,
% 9.70/7.29 (v19(constB114) <=> (v20(constB114) | v21(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36263, 248])).
% 9.70/7.29 tff(36265,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36266,plain,
% 9.70/7.29 (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36265, 260])).
% 9.70/7.29 tff(36267,plain,
% 9.70/7.29 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB114)) <=> v18(constB114))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36268,plain,
% 9.70/7.29 ((~v4(constB114)) <=> v18(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36267, 269])).
% 9.70/7.29 tff(36269,plain,
% 9.70/7.29 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB114)),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36270,plain,
% 9.70/7.29 (v4(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36269, 278])).
% 9.70/7.29 tff(36271,plain,
% 9.70/7.29 ((~((~v4(constB114)) <=> v18(constB114))) | (~v4(constB114)) | (~v18(constB114))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36272,plain,
% 9.70/7.29 (~v18(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36271, 36270, 36268])).
% 9.70/7.29 tff(36273,plain,
% 9.70/7.29 ((~(v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))) | v18(constB114) | ((~v19(constB114)) | (~v22(constB114)))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36274,plain,
% 9.70/7.29 ((~v19(constB114)) | (~v22(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36273, 36272, 36266])).
% 9.70/7.29 tff(36275,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB114) <=> (v1(constB114) | v6(constB114)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36276,plain,
% 9.70/7.29 (v22(constB114) <=> (v1(constB114) | v6(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36275, 291])).
% 9.70/7.29 tff(36277,plain,
% 9.70/7.29 ((v1(constB114) | v6(constB114)) | (~v1(constB114))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36278,plain,
% 9.70/7.29 (v1(constB114) | v6(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36277, 4422])).
% 9.70/7.29 tff(36279,plain,
% 9.70/7.29 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114) | (~(v1(constB114) | v6(constB114)))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36280,plain,
% 9.70/7.29 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36279, 36278])).
% 9.70/7.29 tff(36281,plain,
% 9.70/7.29 (v22(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36280, 36276])).
% 9.70/7.29 tff(36282,plain,
% 9.70/7.29 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114)) | (~v22(constB114))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36283,plain,
% 9.70/7.29 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36282, 36281])).
% 9.70/7.29 tff(36284,plain,
% 9.70/7.29 (~v19(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36283, 36274])).
% 9.70/7.29 tff(36285,plain,
% 9.70/7.29 ((~(v19(constB114) <=> (v20(constB114) | v21(constB114)))) | v19(constB114) | (~(v20(constB114) | v21(constB114)))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36286,plain,
% 9.70/7.29 (~(v20(constB114) | v21(constB114))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36285, 36284, 36264])).
% 9.70/7.29 tff(36287,plain,
% 9.70/7.29 ((v20(constB114) | v21(constB114)) | (~v21(constB114))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36288,plain,
% 9.70/7.29 (~v21(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36287, 36286])).
% 9.70/7.29 tff(36289,plain,
% 9.70/7.29 ((~((~v21(constB114)) <=> v6(constB114))) | v21(constB114) | v6(constB114)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36290,plain,
% 9.70/7.29 (v6(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36289, 36288, 36262])).
% 9.70/7.29 tff(36291,plain,
% 9.70/7.29 ((~(v6(constB114) <=> v13(constB114))) | (~v6(constB114)) | v13(constB114)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36292,plain,
% 9.70/7.29 (v13(constB114)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36291, 36290, 36260])).
% 9.70/7.29 tff(36293,plain,
% 9.70/7.29 ((~(v13(constB114) <=> v9(constB113))) | (~v13(constB114)) | v9(constB113)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36294,plain,
% 9.70/7.29 (v9(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36293, 36292, 36258])).
% 9.70/7.29 tff(36295,plain,
% 9.70/7.29 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB113)) <=> v1(constB113))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36296,plain,
% 9.70/7.29 ((~v39(constB113)) <=> v1(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36295, 129])).
% 9.70/7.29 tff(36297,plain,
% 9.70/7.29 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113) | v1(constB113)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36298,plain,
% 9.70/7.29 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36297, 4414])).
% 9.70/7.29 tff(36299,plain,
% 9.70/7.29 (v39(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36298, 36296])).
% 9.70/7.29 tff(36300,plain,
% 9.70/7.29 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v39(constB113)) | (~v9(constB113))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36301,plain,
% 9.70/7.29 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v9(constB113))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36300, 36299])).
% 9.70/7.29 tff(36302,plain,
% 9.70/7.29 (~((~v39(constB113)) | (~v9(constB113)))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36301, 36294])).
% 9.70/7.29 tff(36303,plain,
% 9.70/7.29 ((~(v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))) | v184(constB113) | ((~v39(constB113)) | (~v9(constB113)))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36304,plain,
% 9.70/7.29 (v184(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36303, 36302, 36254])).
% 9.70/7.29 tff(36305,plain,
% 9.70/7.29 ((v184(constB113) | v26(constB113)) | (~v184(constB113))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36306,plain,
% 9.70/7.29 (v184(constB113) | v26(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36305, 36304])).
% 9.70/7.29 tff(36307,plain,
% 9.70/7.29 ((~(v183(constB113) <=> (v184(constB113) | v26(constB113)))) | v183(constB113) | (~(v184(constB113) | v26(constB113)))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36308,plain,
% 9.70/7.29 (v183(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36307, 36306, 36252])).
% 9.70/7.29 tff(36309,plain,
% 9.70/7.29 ((~((~v182(constB113)) <=> v183(constB113))) | (~v182(constB113)) | (~v183(constB113))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36310,plain,
% 9.70/7.29 (~v182(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36309, 36308, 36250])).
% 9.70/7.29 tff(36311,plain,
% 9.70/7.29 (((~v157(constB113)) | (~v182(constB113))) | v182(constB113)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36312,plain,
% 9.70/7.29 ((~v157(constB113)) | (~v182(constB113))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36311, 36310])).
% 9.70/7.29 tff(36313,plain,
% 9.70/7.29 ((~(v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113)))))) | (~v181(constB113)) | (~((~v157(constB113)) | (~v182(constB113))))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36314,plain,
% 9.70/7.29 (~v181(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36313, 36312, 36248])).
% 9.70/7.29 tff(36315,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36316,plain,
% 9.70/7.29 (v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36315, 96])).
% 9.70/7.29 tff(36317,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB113) <=> (~((~v184(constB113)) | (~v159(constB113)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36318,plain,
% 9.70/7.29 (v187(constB113) <=> (~((~v184(constB113)) | (~v159(constB113))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36317, 108])).
% 9.70/7.29 tff(36319,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB113) <=> v161(constB113))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36320,plain,
% 9.70/7.29 (v159(constB113) <=> v161(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36319, 345])).
% 9.70/7.29 tff(36321,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36322,plain,
% 9.70/7.29 (v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36321, 360])).
% 9.70/7.29 tff(36323,plain,
% 9.70/7.29 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1)))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36324,plain,
% 9.70/7.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36325,plain,
% 9.70/7.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36324, 36323])).
% 9.70/7.29 tff(36326,plain,
% 9.70/7.29 (v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36325, 375, 372])).
% 9.70/7.29 tff(36327,plain,
% 9.70/7.29 ((~(v88(constB113, bitIndex1) <=> v90(constB113, bitIndex1))) | v88(constB113, bitIndex1) | (~v90(constB113, bitIndex1))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36328,plain,
% 9.70/7.29 (v88(constB113, bitIndex1)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36327, 19006, 36326])).
% 9.70/7.29 tff(36329,plain,
% 9.70/7.29 ((v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)) | (~v88(constB113, bitIndex1))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36330,plain,
% 9.70/7.29 (v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36329, 36328])).
% 9.70/7.29 tff(36331,plain,
% 9.70/7.29 ((~(v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2))))) | (~v139(constB113)) | (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36332,plain,
% 9.70/7.29 (~v139(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36331, 36330, 36322])).
% 9.70/7.29 tff(36333,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))))))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36334,plain,
% 9.70/7.29 ((v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0))))) <=> (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0)))))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36335,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))))))),
% 9.70/7.29 inference(monotonicity,[status(thm)],[36334])).
% 9.70/7.29 tff(36336,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))))))),
% 9.70/7.29 inference(transitivity,[status(thm)],[36335, 36333])).
% 9.70/7.29 tff(36337,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36338,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0)))))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36337, 36336])).
% 9.70/7.29 tff(36339,plain,
% 9.70/7.29 (v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36338, 25795])).
% 9.70/7.29 tff(36340,plain,
% 9.70/7.29 ((v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))) | (~v88(constB113, bitIndex1))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36341,plain,
% 9.70/7.29 (v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36340, 36328])).
% 9.70/7.29 tff(36342,plain,
% 9.70/7.29 ((~(v140(constB113) <=> (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0)))))) | (~v140(constB113)) | (~(v88(constB113, bitIndex2) | v88(constB113, bitIndex1) | (~v88(constB113, bitIndex0))))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36343,plain,
% 9.70/7.29 (~v140(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36342, 36341, 36339])).
% 9.70/7.29 tff(36344,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v168(constB113)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB113) | v139(constB113) | (~v168(constB113)))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36345,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v168(constB113)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36346,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB113) | v139(constB113) | (~v168(constB113))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36345, 36344])).
% 9.70/7.29 tff(36347,plain,
% 9.70/7.29 (v140(constB113) | v139(constB113) | (~v168(constB113))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36346, 25819])).
% 9.70/7.29 tff(36348,plain,
% 9.70/7.29 (~v168(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36347, 36343, 36332])).
% 9.70/7.29 tff(36349,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB113) <=> (v145(constB113) | v165(constB113)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36350,plain,
% 9.70/7.29 (v164(constB113) <=> (v145(constB113) | v165(constB113))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36349, 25834])).
% 9.70/7.29 tff(36351,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB113) <=> (v142(constB113) | v166(constB113)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36352,plain,
% 9.70/7.29 (v165(constB113) <=> (v142(constB113) | v166(constB113))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36351, 25846])).
% 9.70/7.29 tff(36353,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB113) <=> (v143(constB113) | v144(constB113)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36354,plain,
% 9.70/7.29 (v142(constB113) <=> (v143(constB113) | v144(constB113))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36353, 25855])).
% 9.70/7.29 tff(36355,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0)))))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36356,plain,
% 9.70/7.29 ((v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1))))) <=> (v143(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0))))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36357,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0)))))),
% 9.70/7.29 inference(monotonicity,[status(thm)],[36356])).
% 9.70/7.29 tff(36358,plain,
% 9.70/7.29 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0)))))),
% 9.70/7.29 inference(transitivity,[status(thm)],[36357, 36355])).
% 9.70/7.29 tff(36359,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36360,plain,
% 9.70/7.29 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0))))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36359, 36358])).
% 9.70/7.29 tff(36361,plain,
% 9.70/7.29 (v143(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0)))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36360, 25870])).
% 9.70/7.29 tff(36362,plain,
% 9.70/7.29 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2)))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36363,plain,
% 9.70/7.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36364,plain,
% 9.70/7.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36363, 36362])).
% 9.70/7.29 tff(36365,plain,
% 9.70/7.29 (v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36364, 648, 372])).
% 9.70/7.29 tff(36366,plain,
% 9.70/7.29 ((~(v88(constB113, bitIndex2) <=> v90(constB113, bitIndex2))) | (~v88(constB113, bitIndex2)) | v90(constB113, bitIndex2)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36367,plain,
% 9.70/7.29 (~v88(constB113, bitIndex2)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36366, 18944, 36365])).
% 9.70/7.29 tff(36368,plain,
% 9.70/7.29 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0)))),
% 9.70/7.29 inference(rewrite,[status(thm)],[])).
% 9.70/7.29 tff(36369,plain,
% 9.70/7.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0)))),
% 9.70/7.29 inference(quant_inst,[status(thm)],[])).
% 9.70/7.29 tff(36370,plain,
% 9.70/7.29 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0))),
% 9.70/7.29 inference(modus_ponens,[status(thm)],[36369, 36368])).
% 9.70/7.29 tff(36371,plain,
% 9.70/7.29 (v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36370, 9653, 372])).
% 9.70/7.29 tff(36372,plain,
% 9.70/7.29 ((~(v88(constB113, bitIndex0) <=> v90(constB113, bitIndex0))) | (~v88(constB113, bitIndex0)) | v90(constB113, bitIndex0)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36373,plain,
% 9.70/7.29 (~v88(constB113, bitIndex0)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36372, 18975, 36371])).
% 9.70/7.29 tff(36374,plain,
% 9.70/7.29 ((~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0))) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0)),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36375,plain,
% 9.70/7.29 (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0))),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36374, 36328, 36373, 36367])).
% 9.70/7.29 tff(36376,plain,
% 9.70/7.29 ((~(v143(constB113) <=> (~(v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0))))) | v143(constB113) | (v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex0))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36377,plain,
% 9.70/7.29 (v143(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36376, 36375, 36361])).
% 9.70/7.29 tff(36378,plain,
% 9.70/7.29 ((v143(constB113) | v144(constB113)) | (~v143(constB113))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36379,plain,
% 9.70/7.29 (v143(constB113) | v144(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36378, 36377])).
% 9.70/7.29 tff(36380,plain,
% 9.70/7.29 ((~(v142(constB113) <=> (v143(constB113) | v144(constB113)))) | v142(constB113) | (~(v143(constB113) | v144(constB113)))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36381,plain,
% 9.70/7.29 (v142(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36380, 36379, 36354])).
% 9.70/7.29 tff(36382,plain,
% 9.70/7.29 ((v142(constB113) | v166(constB113)) | (~v142(constB113))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36383,plain,
% 9.70/7.29 (v142(constB113) | v166(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36382, 36381])).
% 9.70/7.29 tff(36384,plain,
% 9.70/7.29 ((~(v165(constB113) <=> (v142(constB113) | v166(constB113)))) | v165(constB113) | (~(v142(constB113) | v166(constB113)))),
% 9.70/7.29 inference(tautology,[status(thm)],[])).
% 9.70/7.29 tff(36385,plain,
% 9.70/7.29 (v165(constB113)),
% 9.70/7.29 inference(unit_resolution,[status(thm)],[36384, 36383, 36352])).
% 9.70/7.30 tff(36386,plain,
% 9.70/7.30 ((v145(constB113) | v165(constB113)) | (~v165(constB113))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36387,plain,
% 9.70/7.30 (v145(constB113) | v165(constB113)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36386, 36385])).
% 9.70/7.30 tff(36388,plain,
% 9.70/7.30 ((~(v164(constB113) <=> (v145(constB113) | v165(constB113)))) | v164(constB113) | (~(v145(constB113) | v165(constB113)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36389,plain,
% 9.70/7.30 (v164(constB113)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36388, 36387, 36350])).
% 9.70/7.30 tff(36390,plain,
% 9.70/7.30 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB113)) | (v161(constB113) <=> v168(constB113)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB113)) | (v161(constB113) <=> v168(constB113)))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36391,plain,
% 9.70/7.30 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB113)) | (v161(constB113) <=> v168(constB113)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36392,plain,
% 9.70/7.30 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB113)) | (v161(constB113) <=> v168(constB113))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36391, 36390])).
% 9.70/7.30 tff(36393,plain,
% 9.70/7.30 ((~v164(constB113)) | (v161(constB113) <=> v168(constB113))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36392, 25977])).
% 9.70/7.30 tff(36394,plain,
% 9.70/7.30 (v161(constB113) <=> v168(constB113)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36393, 36389])).
% 9.70/7.30 tff(36395,plain,
% 9.70/7.30 ((~(v161(constB113) <=> v168(constB113))) | (~v161(constB113)) | v168(constB113)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36396,plain,
% 9.70/7.30 (~v161(constB113)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36395, 36394, 36348])).
% 9.70/7.30 tff(36397,plain,
% 9.70/7.30 ((~(v159(constB113) <=> v161(constB113))) | (~v159(constB113)) | v161(constB113)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36398,plain,
% 9.70/7.30 ((~(v159(constB113) <=> v161(constB113))) | (~v159(constB113))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36397, 36396])).
% 9.70/7.30 tff(36399,plain,
% 9.70/7.30 (~v159(constB113)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36398, 36320])).
% 9.70/7.30 tff(36400,plain,
% 9.70/7.30 (((~v184(constB113)) | (~v159(constB113))) | v159(constB113)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36401,plain,
% 9.70/7.30 ((~v184(constB113)) | (~v159(constB113))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36400, 36399])).
% 9.70/7.30 tff(36402,plain,
% 9.70/7.30 ((~(v187(constB113) <=> (~((~v184(constB113)) | (~v159(constB113)))))) | (~v187(constB113)) | (~((~v184(constB113)) | (~v159(constB113))))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36403,plain,
% 9.70/7.30 (~v187(constB113)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36402, 36401, 36318])).
% 9.70/7.30 tff(36404,plain,
% 9.70/7.30 (((~v186(constB113)) | (~v187(constB113))) | v187(constB113)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36405,plain,
% 9.70/7.30 ((~v186(constB113)) | (~v187(constB113))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36404, 36403])).
% 9.70/7.30 tff(36406,plain,
% 9.70/7.30 ((~(v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113)))))) | (~v185(constB113)) | (~((~v186(constB113)) | (~v187(constB113))))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36407,plain,
% 9.70/7.30 (~v185(constB113)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36406, 36405, 36316])).
% 9.70/7.30 tff(36408,plain,
% 9.70/7.30 ((~(v181(constB113) | v185(constB113))) | v181(constB113) | v185(constB113)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36409,plain,
% 9.70/7.30 (~(v181(constB113) | v185(constB113))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36408, 36407, 36314])).
% 9.70/7.30 tff(36410,plain,
% 9.70/7.30 ((~(v178(constB113) <=> (v181(constB113) | v185(constB113)))) | (~v178(constB113)) | (v181(constB113) | v185(constB113))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36411,plain,
% 9.70/7.30 (~v178(constB113)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36410, 36409, 36241])).
% 9.70/7.30 tff(36412,plain,
% 9.70/7.30 ((~(v180(constB114) <=> v178(constB113))) | (~v180(constB114)) | v178(constB113)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36413,plain,
% 9.70/7.30 (~v180(constB114)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36412, 36411, 36239])).
% 9.70/7.30 tff(36414,plain,
% 9.70/7.30 ((~(v157(constB114) <=> v180(constB114))) | (~v157(constB114)) | v180(constB114)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36415,plain,
% 9.70/7.30 (~v157(constB114)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36414, 36413, 36235])).
% 9.70/7.30 tff(36416,plain,
% 9.70/7.30 (((~v157(constB114)) | (~v182(constB114))) | v157(constB114)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36417,plain,
% 9.70/7.30 ((~v157(constB114)) | (~v182(constB114))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36416, 36415])).
% 9.70/7.30 tff(36418,plain,
% 9.70/7.30 ((~(v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114)))))) | (~v181(constB114)) | (~((~v157(constB114)) | (~v182(constB114))))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36419,plain,
% 9.70/7.30 (~v181(constB114)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36418, 36417, 36233])).
% 9.70/7.30 tff(36420,plain,
% 9.70/7.30 ((~(v181(constB114) | v185(constB114))) | v181(constB114) | v185(constB114)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36421,plain,
% 9.70/7.30 (~(v181(constB114) | v185(constB114))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36420, 36419, 36226])).
% 9.70/7.30 tff(36422,plain,
% 9.70/7.30 ((~(v178(constB114) <=> (v181(constB114) | v185(constB114)))) | (~v178(constB114)) | (v181(constB114) | v185(constB114))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36423,plain,
% 9.70/7.30 (~v178(constB114)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36422, 36421, 36201])).
% 9.70/7.30 tff(36424,plain,
% 9.70/7.30 ((~(v180(constB115) <=> v178(constB114))) | (~v180(constB115)) | v178(constB114)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36425,plain,
% 9.70/7.30 (~v180(constB115)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36424, 36423, 36199])).
% 9.70/7.30 tff(36426,plain,
% 9.70/7.30 ($false),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36425, 36195])).
% 9.70/7.30 tff(36427,plain,(~(constB115 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.30 tff(36428,assumption,(constB37 = VarCurr!0), introduced(assumption)).
% 9.70/7.30 tff(36429,plain,
% 9.70/7.30 (v86(constB37) <=> v86(VarCurr!0)),
% 9.70/7.30 inference(monotonicity,[status(thm)],[36428])).
% 9.70/7.30 tff(36430,plain,
% 9.70/7.30 (v86(VarCurr!0) <=> v86(constB37)),
% 9.70/7.30 inference(symmetry,[status(thm)],[36429])).
% 9.70/7.30 tff(36431,plain,
% 9.70/7.30 ((~v86(VarCurr!0)) <=> (~v86(constB37))),
% 9.70/7.30 inference(monotonicity,[status(thm)],[36430])).
% 9.70/7.30 tff(36432,plain,
% 9.70/7.30 (~v86(constB37)),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[26079, 36431])).
% 9.70/7.30 tff(36433,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB37) | (~v142(constB37)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB37) | (~v142(constB37)))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36434,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB37) | (~v142(constB37)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36435,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB37) | (~v142(constB37))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36434, 36433])).
% 9.70/7.30 tff(36436,plain,
% 9.70/7.30 (v148(constB37) | (~v142(constB37))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36435, 26138])).
% 9.70/7.30 tff(36437,plain,
% 9.70/7.30 (v148(constB37)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36436, 31370])).
% 9.70/7.30 tff(36438,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB37) <=> (v136(constB37) | v145(constB37)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36439,plain,
% 9.70/7.30 (v135(constB37) <=> (v136(constB37) | v145(constB37))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36438, 26150])).
% 9.70/7.30 tff(36440,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB37) <=> (v137(constB37) | v142(constB37)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36441,plain,
% 9.70/7.30 (v136(constB37) <=> (v137(constB37) | v142(constB37))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36440, 26159])).
% 9.70/7.30 tff(36442,plain,
% 9.70/7.30 ((v137(constB37) | v142(constB37)) | (~v142(constB37))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36443,plain,
% 9.70/7.30 (v137(constB37) | v142(constB37)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36442, 31370])).
% 9.70/7.30 tff(36444,plain,
% 9.70/7.30 ((~(v136(constB37) <=> (v137(constB37) | v142(constB37)))) | v136(constB37) | (~(v137(constB37) | v142(constB37)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36445,plain,
% 9.70/7.30 (v136(constB37)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36444, 36443, 36441])).
% 9.70/7.30 tff(36446,plain,
% 9.70/7.30 ((v136(constB37) | v145(constB37)) | (~v136(constB37))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36447,plain,
% 9.70/7.30 (v136(constB37) | v145(constB37)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36446, 36445])).
% 9.70/7.30 tff(36448,plain,
% 9.70/7.30 ((~(v135(constB37) <=> (v136(constB37) | v145(constB37)))) | v135(constB37) | (~(v136(constB37) | v145(constB37)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36449,plain,
% 9.70/7.30 (v135(constB37)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36448, 36447, 36439])).
% 9.70/7.30 tff(36450,plain,
% 9.70/7.30 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB37)) | (v86(constB37) <=> v148(constB37)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB37)) | (v86(constB37) <=> v148(constB37)))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36451,plain,
% 9.70/7.30 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB37)) | (v86(constB37) <=> v148(constB37)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36452,plain,
% 9.70/7.30 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB37)) | (v86(constB37) <=> v148(constB37))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36451, 36450])).
% 9.70/7.30 tff(36453,plain,
% 9.70/7.30 ((~v135(constB37)) | (v86(constB37) <=> v148(constB37))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36452, 26179])).
% 9.70/7.30 tff(36454,plain,
% 9.70/7.30 (v86(constB37) <=> v148(constB37)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36453, 36449])).
% 9.70/7.30 tff(36455,plain,
% 9.70/7.30 ((~(v86(constB37) <=> v148(constB37))) | v86(constB37) | (~v148(constB37))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36456,plain,
% 9.70/7.30 (v86(constB37)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36455, 36454, 36437])).
% 9.70/7.30 tff(36457,plain,
% 9.70/7.30 ($false),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36456, 36432])).
% 9.70/7.30 tff(36458,plain,(~(constB37 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.30 tff(36459,assumption,(constB119 = VarCurr!0), introduced(assumption)).
% 9.70/7.30 tff(36460,plain,
% 9.70/7.30 (v180(constB119) <=> v180(VarCurr!0)),
% 9.70/7.30 inference(monotonicity,[status(thm)],[36459])).
% 9.70/7.30 tff(36461,plain,
% 9.70/7.30 (v180(VarCurr!0) <=> v180(constB119)),
% 9.70/7.30 inference(symmetry,[status(thm)],[36460])).
% 9.70/7.30 tff(36462,plain,
% 9.70/7.30 (v180(constB119)),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[59, 36461])).
% 9.70/7.30 tff(36463,plain,
% 9.70/7.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> v178(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB118, constB119)) | (v180(constB119) <=> v178(constB118)))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36464,plain,
% 9.70/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> v178(constB118)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36465,plain,
% 9.70/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB118, constB119)) | (v180(constB119) <=> v178(constB118))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36464, 36463])).
% 9.70/7.30 tff(36466,plain,
% 9.70/7.30 (v180(constB119) <=> v178(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36465, 4176, 70])).
% 9.70/7.30 tff(36467,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB118) <=> (v181(constB118) | v185(constB118)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36468,plain,
% 9.70/7.30 (v178(constB118) <=> (v181(constB118) | v185(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36467, 84])).
% 9.70/7.30 tff(36469,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB118) <=> (~((~v186(constB118)) | (~v187(constB118)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36470,plain,
% 9.70/7.30 (v185(constB118) <=> (~((~v186(constB118)) | (~v187(constB118))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36469, 96])).
% 9.70/7.30 tff(36471,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB118) <=> (~((~v184(constB118)) | (~v159(constB118)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36472,plain,
% 9.70/7.30 (v187(constB118) <=> (~((~v184(constB118)) | (~v159(constB118))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36471, 108])).
% 9.70/7.30 tff(36473,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36474,plain,
% 9.70/7.30 (v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36473, 120])).
% 9.70/7.30 tff(36475,plain,
% 9.70/7.30 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB118)) <=> v1(constB118))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36476,plain,
% 9.70/7.30 ((~v39(constB118)) <=> v1(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36475, 129])).
% 9.70/7.30 tff(36477,plain,
% 9.70/7.30 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118)) | (~v1(constB118))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36478,plain,
% 9.70/7.30 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36477, 4238])).
% 9.70/7.30 tff(36479,plain,
% 9.70/7.30 (~v39(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36478, 36476])).
% 9.70/7.30 tff(36480,plain,
% 9.70/7.30 (((~v39(constB118)) | (~v9(constB118))) | v39(constB118)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36481,plain,
% 9.70/7.30 ((~v39(constB118)) | (~v9(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36480, 36479])).
% 9.70/7.30 tff(36482,plain,
% 9.70/7.30 ((~(v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v184(constB118)) | (~((~v39(constB118)) | (~v9(constB118))))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36483,plain,
% 9.70/7.30 ((~(v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v184(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36482, 36481])).
% 9.70/7.30 tff(36484,plain,
% 9.70/7.30 (~v184(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36483, 36474])).
% 9.70/7.30 tff(36485,plain,
% 9.70/7.30 (((~v184(constB118)) | (~v159(constB118))) | v184(constB118)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36486,plain,
% 9.70/7.30 ((~v184(constB118)) | (~v159(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36485, 36484])).
% 9.70/7.30 tff(36487,plain,
% 9.70/7.30 ((~(v187(constB118) <=> (~((~v184(constB118)) | (~v159(constB118)))))) | (~v187(constB118)) | (~((~v184(constB118)) | (~v159(constB118))))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36488,plain,
% 9.70/7.30 ((~(v187(constB118) <=> (~((~v184(constB118)) | (~v159(constB118)))))) | (~v187(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36487, 36486])).
% 9.70/7.30 tff(36489,plain,
% 9.70/7.30 (~v187(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36488, 36472])).
% 9.70/7.30 tff(36490,plain,
% 9.70/7.30 (((~v186(constB118)) | (~v187(constB118))) | v187(constB118)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36491,plain,
% 9.70/7.30 ((~v186(constB118)) | (~v187(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36490, 36489])).
% 9.70/7.30 tff(36492,plain,
% 9.70/7.30 ((~(v185(constB118) <=> (~((~v186(constB118)) | (~v187(constB118)))))) | (~v185(constB118)) | (~((~v186(constB118)) | (~v187(constB118))))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36493,plain,
% 9.70/7.30 (~v185(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36492, 36491, 36470])).
% 9.70/7.30 tff(36494,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118))))))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36495,plain,
% 9.70/7.30 ((v181(constB118) <=> (~((~v182(constB118)) | (~v157(constB118))))) <=> (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118)))))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36496,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v182(constB118)) | (~v157(constB118)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118))))))),
% 9.70/7.30 inference(monotonicity,[status(thm)],[36495])).
% 9.70/7.30 tff(36497,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v182(constB118)) | (~v157(constB118)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118))))))),
% 9.70/7.30 inference(transitivity,[status(thm)],[36496, 36494])).
% 9.70/7.30 tff(36498,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v182(constB118)) | (~v157(constB118)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36499,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118)))))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36498, 36497])).
% 9.70/7.30 tff(36500,plain,
% 9.70/7.30 (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36499, 161])).
% 9.70/7.30 tff(36501,plain,
% 9.70/7.30 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB118) <=> v180(constB118))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36502,plain,
% 9.70/7.30 (v157(constB118) <=> v180(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36501, 13])).
% 9.70/7.30 tff(36503,plain,
% 9.70/7.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> v178(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB117, constB118)) | (v180(constB118) <=> v178(constB117)))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36504,plain,
% 9.70/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> v178(constB117)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36505,plain,
% 9.70/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB117, constB118)) | (v180(constB118) <=> v178(constB117))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36504, 36503])).
% 9.70/7.30 tff(36506,plain,
% 9.70/7.30 (v180(constB118) <=> v178(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36505, 4208, 70])).
% 9.70/7.30 tff(36507,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB117) <=> (v181(constB117) | v185(constB117)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36508,plain,
% 9.70/7.30 (v178(constB117) <=> (v181(constB117) | v185(constB117))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36507, 84])).
% 9.70/7.30 tff(36509,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117))))))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36510,plain,
% 9.70/7.30 ((v181(constB117) <=> (~((~v182(constB117)) | (~v157(constB117))))) <=> (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117)))))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36511,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v182(constB117)) | (~v157(constB117)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117))))))),
% 9.70/7.30 inference(monotonicity,[status(thm)],[36510])).
% 9.70/7.30 tff(36512,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v182(constB117)) | (~v157(constB117)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117))))))),
% 9.70/7.30 inference(transitivity,[status(thm)],[36511, 36509])).
% 9.70/7.30 tff(36513,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v182(constB117)) | (~v157(constB117)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36514,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117)))))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36513, 36512])).
% 9.70/7.30 tff(36515,plain,
% 9.70/7.30 (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36514, 161])).
% 9.70/7.30 tff(36516,plain,
% 9.70/7.30 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB117)) <=> v183(constB117))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36517,plain,
% 9.70/7.30 ((~v182(constB117)) <=> v183(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36516, 193])).
% 9.70/7.30 tff(36518,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB117) <=> (v184(constB117) | v26(constB117)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36519,plain,
% 9.70/7.30 (v183(constB117) <=> (v184(constB117) | v26(constB117))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36518, 202])).
% 9.70/7.30 tff(36520,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB117) <=> (~((~v39(constB117)) | (~v9(constB117)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36521,plain,
% 9.70/7.30 (v184(constB117) <=> (~((~v39(constB117)) | (~v9(constB117))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36520, 120])).
% 9.70/7.30 tff(36522,plain,
% 9.70/7.30 (((~![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)))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36523,plain,
% 9.70/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36524,plain,
% 9.70/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36523, 36522])).
% 9.70/7.30 tff(36525,plain,
% 9.70/7.30 (v13(constB118) <=> v9(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36524, 4208, 216])).
% 9.70/7.30 tff(36526,plain,
% 9.70/7.30 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB118) <=> v13(constB118))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36527,plain,
% 9.70/7.30 (v6(constB118) <=> v13(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36526, 230])).
% 9.70/7.30 tff(36528,plain,
% 9.70/7.30 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB118)) <=> v6(constB118))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36529,plain,
% 9.70/7.30 ((~v21(constB118)) <=> v6(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36528, 239])).
% 9.70/7.30 tff(36530,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB118) <=> (v20(constB118) | v21(constB118)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36531,plain,
% 9.70/7.30 (v19(constB118) <=> (v20(constB118) | v21(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36530, 248])).
% 9.70/7.30 tff(36532,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36533,plain,
% 9.70/7.30 (v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36532, 260])).
% 9.70/7.30 tff(36534,plain,
% 9.70/7.30 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB118)) <=> v18(constB118))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36535,plain,
% 9.70/7.30 ((~v4(constB118)) <=> v18(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36534, 269])).
% 9.70/7.30 tff(36536,plain,
% 9.70/7.30 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB118)),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36537,plain,
% 9.70/7.30 (v4(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36536, 278])).
% 9.70/7.30 tff(36538,plain,
% 9.70/7.30 ((~((~v4(constB118)) <=> v18(constB118))) | (~v4(constB118)) | (~v18(constB118))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36539,plain,
% 9.70/7.30 (~v18(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36538, 36537, 36535])).
% 9.70/7.30 tff(36540,plain,
% 9.70/7.30 ((~(v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118)))))) | v18(constB118) | ((~v19(constB118)) | (~v22(constB118)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36541,plain,
% 9.70/7.30 ((~v19(constB118)) | (~v22(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36540, 36539, 36533])).
% 9.70/7.30 tff(36542,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB118) <=> (v1(constB118) | v6(constB118)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36543,plain,
% 9.70/7.30 (v22(constB118) <=> (v1(constB118) | v6(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36542, 291])).
% 9.70/7.30 tff(36544,plain,
% 9.70/7.30 ((v1(constB118) | v6(constB118)) | (~v1(constB118))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36545,plain,
% 9.70/7.30 (v1(constB118) | v6(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36544, 4238])).
% 9.70/7.30 tff(36546,plain,
% 9.70/7.30 ((~(v22(constB118) <=> (v1(constB118) | v6(constB118)))) | v22(constB118) | (~(v1(constB118) | v6(constB118)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36547,plain,
% 9.70/7.30 ((~(v22(constB118) <=> (v1(constB118) | v6(constB118)))) | v22(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36546, 36545])).
% 9.70/7.30 tff(36548,plain,
% 9.70/7.30 (v22(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36547, 36543])).
% 9.70/7.30 tff(36549,plain,
% 9.70/7.30 ((~((~v19(constB118)) | (~v22(constB118)))) | (~v19(constB118)) | (~v22(constB118))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36550,plain,
% 9.70/7.30 ((~((~v19(constB118)) | (~v22(constB118)))) | (~v19(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36549, 36548])).
% 9.70/7.30 tff(36551,plain,
% 9.70/7.30 (~v19(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36550, 36541])).
% 9.70/7.30 tff(36552,plain,
% 9.70/7.30 ((~(v19(constB118) <=> (v20(constB118) | v21(constB118)))) | v19(constB118) | (~(v20(constB118) | v21(constB118)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36553,plain,
% 9.70/7.30 (~(v20(constB118) | v21(constB118))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36552, 36551, 36531])).
% 9.70/7.30 tff(36554,plain,
% 9.70/7.30 ((v20(constB118) | v21(constB118)) | (~v21(constB118))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36555,plain,
% 9.70/7.30 (~v21(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36554, 36553])).
% 9.70/7.30 tff(36556,plain,
% 9.70/7.30 ((~((~v21(constB118)) <=> v6(constB118))) | v21(constB118) | v6(constB118)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36557,plain,
% 9.70/7.30 (v6(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36556, 36555, 36529])).
% 9.70/7.30 tff(36558,plain,
% 9.70/7.30 ((~(v6(constB118) <=> v13(constB118))) | (~v6(constB118)) | v13(constB118)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36559,plain,
% 9.70/7.30 (v13(constB118)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36558, 36557, 36527])).
% 9.70/7.30 tff(36560,plain,
% 9.70/7.30 ((~(v13(constB118) <=> v9(constB117))) | (~v13(constB118)) | v9(constB117)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36561,plain,
% 9.70/7.30 (v9(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36560, 36559, 36525])).
% 9.70/7.30 tff(36562,plain,
% 9.70/7.30 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB117)) <=> v1(constB117))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36563,plain,
% 9.70/7.30 ((~v39(constB117)) <=> v1(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36562, 129])).
% 9.70/7.30 tff(36564,plain,
% 9.70/7.30 ((~((~v39(constB117)) <=> v1(constB117))) | v39(constB117) | v1(constB117)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36565,plain,
% 9.70/7.30 ((~((~v39(constB117)) <=> v1(constB117))) | v39(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36564, 4230])).
% 9.70/7.30 tff(36566,plain,
% 9.70/7.30 (v39(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36565, 36563])).
% 9.70/7.30 tff(36567,plain,
% 9.70/7.30 ((~((~v39(constB117)) | (~v9(constB117)))) | (~v39(constB117)) | (~v9(constB117))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36568,plain,
% 9.70/7.30 ((~((~v39(constB117)) | (~v9(constB117)))) | (~v9(constB117))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36567, 36566])).
% 9.70/7.30 tff(36569,plain,
% 9.70/7.30 (~((~v39(constB117)) | (~v9(constB117)))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36568, 36561])).
% 9.70/7.30 tff(36570,plain,
% 9.70/7.30 ((~(v184(constB117) <=> (~((~v39(constB117)) | (~v9(constB117)))))) | v184(constB117) | ((~v39(constB117)) | (~v9(constB117)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36571,plain,
% 9.70/7.30 (v184(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36570, 36569, 36521])).
% 9.70/7.30 tff(36572,plain,
% 9.70/7.30 ((v184(constB117) | v26(constB117)) | (~v184(constB117))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36573,plain,
% 9.70/7.30 (v184(constB117) | v26(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36572, 36571])).
% 9.70/7.30 tff(36574,plain,
% 9.70/7.30 ((~(v183(constB117) <=> (v184(constB117) | v26(constB117)))) | v183(constB117) | (~(v184(constB117) | v26(constB117)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36575,plain,
% 9.70/7.30 (v183(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36574, 36573, 36519])).
% 9.70/7.30 tff(36576,plain,
% 9.70/7.30 ((~((~v182(constB117)) <=> v183(constB117))) | (~v182(constB117)) | (~v183(constB117))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36577,plain,
% 9.70/7.30 (~v182(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36576, 36575, 36517])).
% 9.70/7.30 tff(36578,plain,
% 9.70/7.30 (((~v157(constB117)) | (~v182(constB117))) | v182(constB117)),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36579,plain,
% 9.70/7.30 ((~v157(constB117)) | (~v182(constB117))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36578, 36577])).
% 9.70/7.30 tff(36580,plain,
% 9.70/7.30 ((~(v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117)))))) | (~v181(constB117)) | (~((~v157(constB117)) | (~v182(constB117))))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36581,plain,
% 9.70/7.30 (~v181(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36580, 36579, 36515])).
% 9.70/7.30 tff(36582,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB117) <=> (~((~v186(constB117)) | (~v187(constB117)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36583,plain,
% 9.70/7.30 (v185(constB117) <=> (~((~v186(constB117)) | (~v187(constB117))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36582, 96])).
% 9.70/7.30 tff(36584,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB117) <=> (~((~v184(constB117)) | (~v159(constB117)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36585,plain,
% 9.70/7.30 (v187(constB117) <=> (~((~v184(constB117)) | (~v159(constB117))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36584, 108])).
% 9.70/7.30 tff(36586,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB117) <=> v161(constB117))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36587,plain,
% 9.70/7.30 (v159(constB117) <=> v161(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36586, 345])).
% 9.70/7.30 tff(36588,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36589,plain,
% 9.70/7.30 (v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36588, 360])).
% 9.70/7.30 tff(36590,plain,
% 9.70/7.30 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36591,plain,
% 9.70/7.30 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36592,plain,
% 9.70/7.30 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36591, 36590])).
% 9.70/7.30 tff(36593,plain,
% 9.70/7.30 (v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36592, 648, 372])).
% 9.70/7.30 tff(36594,plain,
% 9.70/7.30 ((~(v88(constB117, bitIndex2) <=> v90(constB117, bitIndex2))) | v88(constB117, bitIndex2) | (~v90(constB117, bitIndex2))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36595,plain,
% 9.70/7.30 (v88(constB117, bitIndex2)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36594, 19256, 36593])).
% 9.70/7.30 tff(36596,plain,
% 9.70/7.30 ((v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex2))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36597,plain,
% 9.70/7.30 (v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36596, 36595])).
% 9.70/7.30 tff(36598,plain,
% 9.70/7.30 ((~(v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2))))) | (~v139(constB117)) | (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36599,plain,
% 9.70/7.30 (~v139(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36598, 36597, 36589])).
% 9.70/7.30 tff(36600,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36601,plain,
% 9.70/7.30 ((v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0))))) <=> (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36602,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))))),
% 9.70/7.30 inference(monotonicity,[status(thm)],[36601])).
% 9.70/7.30 tff(36603,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))))),
% 9.70/7.30 inference(transitivity,[status(thm)],[36602, 36600])).
% 9.70/7.30 tff(36604,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36605,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36604, 36603])).
% 9.70/7.30 tff(36606,plain,
% 9.70/7.30 (v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36605, 25795])).
% 9.70/7.30 tff(36607,plain,
% 9.70/7.30 ((v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))) | (~v88(constB117, bitIndex2))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36608,plain,
% 9.70/7.30 (v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36607, 36595])).
% 9.70/7.30 tff(36609,plain,
% 9.70/7.30 ((~(v140(constB117) <=> (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0)))))) | (~v140(constB117)) | (~(v88(constB117, bitIndex2) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex0))))),
% 9.70/7.30 inference(tautology,[status(thm)],[])).
% 9.70/7.30 tff(36610,plain,
% 9.70/7.30 (~v140(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36609, 36608, 36606])).
% 9.70/7.30 tff(36611,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v168(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB117) | v139(constB117) | (~v168(constB117)))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.30 tff(36612,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v168(constB117)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36613,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB117) | v139(constB117) | (~v168(constB117))),
% 9.70/7.30 inference(modus_ponens,[status(thm)],[36612, 36611])).
% 9.70/7.30 tff(36614,plain,
% 9.70/7.30 (v140(constB117) | v139(constB117) | (~v168(constB117))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36613, 25819])).
% 9.70/7.30 tff(36615,plain,
% 9.70/7.30 (~v168(constB117)),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36614, 36610, 36599])).
% 9.70/7.30 tff(36616,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB117) <=> (v145(constB117) | v165(constB117)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36617,plain,
% 9.70/7.30 (v164(constB117) <=> (v145(constB117) | v165(constB117))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36616, 25834])).
% 9.70/7.30 tff(36618,plain,
% 9.70/7.30 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB117) <=> (v146(constB117) | v147(constB117)))),
% 9.70/7.30 inference(quant_inst,[status(thm)],[])).
% 9.70/7.30 tff(36619,plain,
% 9.70/7.30 (v145(constB117) <=> (v146(constB117) | v147(constB117))),
% 9.70/7.30 inference(unit_resolution,[status(thm)],[36618, 27691])).
% 9.70/7.30 tff(36620,plain,
% 9.70/7.30 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0)))))),
% 9.70/7.30 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36621,plain,
% 9.70/7.31 ((v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2))))) <=> (v146(constB117) <=> (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36622,plain,
% 9.70/7.31 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0)))))),
% 9.70/7.31 inference(monotonicity,[status(thm)],[36621])).
% 9.70/7.31 tff(36623,plain,
% 9.70/7.31 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0)))))),
% 9.70/7.31 inference(transitivity,[status(thm)],[36622, 36620])).
% 9.70/7.31 tff(36624,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36625,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36624, 36623])).
% 9.70/7.31 tff(36626,plain,
% 9.70/7.31 (v146(constB117) <=> (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0)))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36625, 27706])).
% 9.70/7.31 tff(36627,plain,
% 9.70/7.31 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36628,plain,
% 9.70/7.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36629,plain,
% 9.70/7.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36628, 36627])).
% 9.70/7.31 tff(36630,plain,
% 9.70/7.31 (v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36629, 9653, 372])).
% 9.70/7.31 tff(36631,plain,
% 9.70/7.31 ((~(v88(constB117, bitIndex0) <=> v90(constB117, bitIndex0))) | (~v88(constB117, bitIndex0)) | v90(constB117, bitIndex0)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36632,plain,
% 9.70/7.31 (~v88(constB117, bitIndex0)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36631, 19287, 36630])).
% 9.70/7.31 tff(36633,plain,
% 9.70/7.31 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36634,plain,
% 9.70/7.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36635,plain,
% 9.70/7.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36634, 36633])).
% 9.70/7.31 tff(36636,plain,
% 9.70/7.31 (v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36635, 375, 372])).
% 9.70/7.31 tff(36637,plain,
% 9.70/7.31 ((~(v88(constB117, bitIndex1) <=> v90(constB117, bitIndex1))) | (~v88(constB117, bitIndex1)) | v90(constB117, bitIndex1)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36638,plain,
% 9.70/7.31 (~v88(constB117, bitIndex1)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36637, 19318, 36636])).
% 9.70/7.31 tff(36639,plain,
% 9.70/7.31 ((~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36640,plain,
% 9.70/7.31 (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36639, 36638, 36632, 36595])).
% 9.70/7.31 tff(36641,plain,
% 9.70/7.31 ((~(v146(constB117) <=> (~((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))))) | v146(constB117) | ((~v88(constB117, bitIndex2)) | v88(constB117, bitIndex1) | v88(constB117, bitIndex0))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36642,plain,
% 9.70/7.31 (v146(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36641, 36640, 36626])).
% 9.70/7.31 tff(36643,plain,
% 9.70/7.31 ((v146(constB117) | v147(constB117)) | (~v146(constB117))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36644,plain,
% 9.70/7.31 (v146(constB117) | v147(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36643, 36642])).
% 9.70/7.31 tff(36645,plain,
% 9.70/7.31 ((~(v145(constB117) <=> (v146(constB117) | v147(constB117)))) | v145(constB117) | (~(v146(constB117) | v147(constB117)))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36646,plain,
% 9.70/7.31 (v145(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36645, 36644, 36619])).
% 9.70/7.31 tff(36647,plain,
% 9.70/7.31 ((v145(constB117) | v165(constB117)) | (~v145(constB117))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36648,plain,
% 9.70/7.31 (v145(constB117) | v165(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36647, 36646])).
% 9.70/7.31 tff(36649,plain,
% 9.70/7.31 ((~(v164(constB117) <=> (v145(constB117) | v165(constB117)))) | v164(constB117) | (~(v145(constB117) | v165(constB117)))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36650,plain,
% 9.70/7.31 (v164(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36649, 36648, 36617])).
% 9.70/7.31 tff(36651,plain,
% 9.70/7.31 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB117)) | (v161(constB117) <=> v168(constB117)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB117)) | (v161(constB117) <=> v168(constB117)))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36652,plain,
% 9.70/7.31 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB117)) | (v161(constB117) <=> v168(constB117)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36653,plain,
% 9.70/7.31 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB117)) | (v161(constB117) <=> v168(constB117))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36652, 36651])).
% 9.70/7.31 tff(36654,plain,
% 9.70/7.31 ((~v164(constB117)) | (v161(constB117) <=> v168(constB117))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36653, 25977])).
% 9.70/7.31 tff(36655,plain,
% 9.70/7.31 (v161(constB117) <=> v168(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36654, 36650])).
% 9.70/7.31 tff(36656,plain,
% 9.70/7.31 ((~(v161(constB117) <=> v168(constB117))) | (~v161(constB117)) | v168(constB117)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36657,plain,
% 9.70/7.31 (~v161(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36656, 36655, 36615])).
% 9.70/7.31 tff(36658,plain,
% 9.70/7.31 ((~(v159(constB117) <=> v161(constB117))) | (~v159(constB117)) | v161(constB117)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36659,plain,
% 9.70/7.31 ((~(v159(constB117) <=> v161(constB117))) | (~v159(constB117))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36658, 36657])).
% 9.70/7.31 tff(36660,plain,
% 9.70/7.31 (~v159(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36659, 36587])).
% 9.70/7.31 tff(36661,plain,
% 9.70/7.31 (((~v184(constB117)) | (~v159(constB117))) | v159(constB117)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36662,plain,
% 9.70/7.31 ((~v184(constB117)) | (~v159(constB117))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36661, 36660])).
% 9.70/7.31 tff(36663,plain,
% 9.70/7.31 ((~(v187(constB117) <=> (~((~v184(constB117)) | (~v159(constB117)))))) | (~v187(constB117)) | (~((~v184(constB117)) | (~v159(constB117))))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36664,plain,
% 9.70/7.31 (~v187(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36663, 36662, 36585])).
% 9.70/7.31 tff(36665,plain,
% 9.70/7.31 (((~v186(constB117)) | (~v187(constB117))) | v187(constB117)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36666,plain,
% 9.70/7.31 ((~v186(constB117)) | (~v187(constB117))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36665, 36664])).
% 9.70/7.31 tff(36667,plain,
% 9.70/7.31 ((~(v185(constB117) <=> (~((~v186(constB117)) | (~v187(constB117)))))) | (~v185(constB117)) | (~((~v186(constB117)) | (~v187(constB117))))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36668,plain,
% 9.70/7.31 (~v185(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36667, 36666, 36583])).
% 9.70/7.31 tff(36669,plain,
% 9.70/7.31 ((~(v181(constB117) | v185(constB117))) | v181(constB117) | v185(constB117)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36670,plain,
% 9.70/7.31 (~(v181(constB117) | v185(constB117))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36669, 36668, 36581])).
% 9.70/7.31 tff(36671,plain,
% 9.70/7.31 ((~(v178(constB117) <=> (v181(constB117) | v185(constB117)))) | (~v178(constB117)) | (v181(constB117) | v185(constB117))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36672,plain,
% 9.70/7.31 (~v178(constB117)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36671, 36670, 36508])).
% 9.70/7.31 tff(36673,plain,
% 9.70/7.31 ((~(v180(constB118) <=> v178(constB117))) | (~v180(constB118)) | v178(constB117)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36674,plain,
% 9.70/7.31 (~v180(constB118)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36673, 36672, 36506])).
% 9.70/7.31 tff(36675,plain,
% 9.70/7.31 ((~(v157(constB118) <=> v180(constB118))) | (~v157(constB118)) | v180(constB118)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36676,plain,
% 9.70/7.31 (~v157(constB118)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36675, 36674, 36502])).
% 9.70/7.31 tff(36677,plain,
% 9.70/7.31 (((~v157(constB118)) | (~v182(constB118))) | v157(constB118)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36678,plain,
% 9.70/7.31 ((~v157(constB118)) | (~v182(constB118))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36677, 36676])).
% 9.70/7.31 tff(36679,plain,
% 9.70/7.31 ((~(v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118)))))) | (~v181(constB118)) | (~((~v157(constB118)) | (~v182(constB118))))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36680,plain,
% 9.70/7.31 (~v181(constB118)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36679, 36678, 36500])).
% 9.70/7.31 tff(36681,plain,
% 9.70/7.31 ((~(v181(constB118) | v185(constB118))) | v181(constB118) | v185(constB118)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36682,plain,
% 9.70/7.31 (~(v181(constB118) | v185(constB118))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36681, 36680, 36493])).
% 9.70/7.31 tff(36683,plain,
% 9.70/7.31 ((~(v178(constB118) <=> (v181(constB118) | v185(constB118)))) | (~v178(constB118)) | (v181(constB118) | v185(constB118))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36684,plain,
% 9.70/7.31 (~v178(constB118)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36683, 36682, 36468])).
% 9.70/7.31 tff(36685,plain,
% 9.70/7.31 ((~(v180(constB119) <=> v178(constB118))) | (~v180(constB119)) | v178(constB118)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36686,plain,
% 9.70/7.31 (~v180(constB119)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36685, 36684, 36466])).
% 9.70/7.31 tff(36687,plain,
% 9.70/7.31 ($false),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36686, 36462])).
% 9.70/7.31 tff(36688,plain,(~(constB119 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.31 tff(36689,assumption,(constB165 = VarCurr!0), introduced(assumption)).
% 9.70/7.31 tff(36690,plain,
% 9.70/7.31 (v180(constB165) <=> v180(VarCurr!0)),
% 9.70/7.31 inference(monotonicity,[status(thm)],[36689])).
% 9.70/7.31 tff(36691,plain,
% 9.70/7.31 (v180(VarCurr!0) <=> v180(constB165)),
% 9.70/7.31 inference(symmetry,[status(thm)],[36690])).
% 9.70/7.31 tff(36692,plain,
% 9.70/7.31 (v180(constB165)),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[59, 36691])).
% 9.70/7.31 tff(36693,plain,
% 9.70/7.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB164, constB165)) | (v180(constB165) <=> v178(constB164)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB164, constB165)) | (v180(constB165) <=> v178(constB164)))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36694,plain,
% 9.70/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB164, constB165)) | (v180(constB165) <=> v178(constB164)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36695,plain,
% 9.70/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB164, constB165)) | (v180(constB165) <=> v178(constB164))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36694, 36693])).
% 9.70/7.31 tff(36696,plain,
% 9.70/7.31 (v180(constB165) <=> v178(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36695, 2059, 70])).
% 9.70/7.31 tff(36697,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB164) <=> (v181(constB164) | v185(constB164)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36698,plain,
% 9.70/7.31 (v178(constB164) <=> (v181(constB164) | v185(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36697, 84])).
% 9.70/7.31 tff(36699,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB164) <=> (~((~v186(constB164)) | (~v187(constB164)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36700,plain,
% 9.70/7.31 (v185(constB164) <=> (~((~v186(constB164)) | (~v187(constB164))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36699, 96])).
% 9.70/7.31 tff(36701,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB164) <=> (~((~v184(constB164)) | (~v159(constB164)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36702,plain,
% 9.70/7.31 (v187(constB164) <=> (~((~v184(constB164)) | (~v159(constB164))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36701, 108])).
% 9.70/7.31 tff(36703,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36704,plain,
% 9.70/7.31 (v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36703, 120])).
% 9.70/7.31 tff(36705,plain,
% 9.70/7.31 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB164)) <=> v1(constB164))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36706,plain,
% 9.70/7.31 ((~v39(constB164)) <=> v1(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36705, 129])).
% 9.70/7.31 tff(36707,plain,
% 9.70/7.31 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164)) | (~v1(constB164))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36708,plain,
% 9.70/7.31 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36707, 2121])).
% 9.70/7.31 tff(36709,plain,
% 9.70/7.31 (~v39(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36708, 36706])).
% 9.70/7.31 tff(36710,plain,
% 9.70/7.31 (((~v39(constB164)) | (~v9(constB164))) | v39(constB164)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36711,plain,
% 9.70/7.31 ((~v39(constB164)) | (~v9(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36710, 36709])).
% 9.70/7.31 tff(36712,plain,
% 9.70/7.31 ((~(v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v184(constB164)) | (~((~v39(constB164)) | (~v9(constB164))))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36713,plain,
% 9.70/7.31 ((~(v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v184(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36712, 36711])).
% 9.70/7.31 tff(36714,plain,
% 9.70/7.31 (~v184(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36713, 36704])).
% 9.70/7.31 tff(36715,plain,
% 9.70/7.31 (((~v184(constB164)) | (~v159(constB164))) | v184(constB164)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36716,plain,
% 9.70/7.31 ((~v184(constB164)) | (~v159(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36715, 36714])).
% 9.70/7.31 tff(36717,plain,
% 9.70/7.31 ((~(v187(constB164) <=> (~((~v184(constB164)) | (~v159(constB164)))))) | (~v187(constB164)) | (~((~v184(constB164)) | (~v159(constB164))))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36718,plain,
% 9.70/7.31 ((~(v187(constB164) <=> (~((~v184(constB164)) | (~v159(constB164)))))) | (~v187(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36717, 36716])).
% 9.70/7.31 tff(36719,plain,
% 9.70/7.31 (~v187(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36718, 36702])).
% 9.70/7.31 tff(36720,plain,
% 9.70/7.31 (((~v186(constB164)) | (~v187(constB164))) | v187(constB164)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36721,plain,
% 9.70/7.31 ((~v186(constB164)) | (~v187(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36720, 36719])).
% 9.70/7.31 tff(36722,plain,
% 9.70/7.31 ((~(v185(constB164) <=> (~((~v186(constB164)) | (~v187(constB164)))))) | (~v185(constB164)) | (~((~v186(constB164)) | (~v187(constB164))))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36723,plain,
% 9.70/7.31 (~v185(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36722, 36721, 36700])).
% 9.70/7.31 tff(36724,plain,
% 9.70/7.31 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164))))))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36725,plain,
% 9.70/7.31 ((v181(constB164) <=> (~((~v182(constB164)) | (~v157(constB164))))) <=> (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164)))))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36726,plain,
% 9.70/7.31 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v182(constB164)) | (~v157(constB164)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164))))))),
% 9.70/7.31 inference(monotonicity,[status(thm)],[36725])).
% 9.70/7.31 tff(36727,plain,
% 9.70/7.31 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v182(constB164)) | (~v157(constB164)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164))))))),
% 9.70/7.31 inference(transitivity,[status(thm)],[36726, 36724])).
% 9.70/7.31 tff(36728,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v182(constB164)) | (~v157(constB164)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36729,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164)))))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36728, 36727])).
% 9.70/7.31 tff(36730,plain,
% 9.70/7.31 (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36729, 161])).
% 9.70/7.31 tff(36731,plain,
% 9.70/7.31 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB164) <=> v180(constB164))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36732,plain,
% 9.70/7.31 (v157(constB164) <=> v180(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36731, 13])).
% 9.70/7.31 tff(36733,plain,
% 9.70/7.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB163, constB164)) | (v180(constB164) <=> v178(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB163, constB164)) | (v180(constB164) <=> v178(constB163)))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36734,plain,
% 9.70/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB163, constB164)) | (v180(constB164) <=> v178(constB163)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36735,plain,
% 9.70/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB163, constB164)) | (v180(constB164) <=> v178(constB163))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36734, 36733])).
% 9.70/7.31 tff(36736,plain,
% 9.70/7.31 (v180(constB164) <=> v178(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36735, 2091, 70])).
% 9.70/7.31 tff(36737,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB163) <=> (v181(constB163) | v185(constB163)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36738,plain,
% 9.70/7.31 (v178(constB163) <=> (v181(constB163) | v185(constB163))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36737, 84])).
% 9.70/7.31 tff(36739,plain,
% 9.70/7.31 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163))))))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36740,plain,
% 9.70/7.31 ((v181(constB163) <=> (~((~v182(constB163)) | (~v157(constB163))))) <=> (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163)))))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36741,plain,
% 9.70/7.31 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v182(constB163)) | (~v157(constB163)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163))))))),
% 9.70/7.31 inference(monotonicity,[status(thm)],[36740])).
% 9.70/7.31 tff(36742,plain,
% 9.70/7.31 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v182(constB163)) | (~v157(constB163)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163))))))),
% 9.70/7.31 inference(transitivity,[status(thm)],[36741, 36739])).
% 9.70/7.31 tff(36743,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v182(constB163)) | (~v157(constB163)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36744,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163)))))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36743, 36742])).
% 9.70/7.31 tff(36745,plain,
% 9.70/7.31 (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36744, 161])).
% 9.70/7.31 tff(36746,plain,
% 9.70/7.31 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB163)) <=> v183(constB163))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36747,plain,
% 9.70/7.31 ((~v182(constB163)) <=> v183(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36746, 193])).
% 9.70/7.31 tff(36748,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB163) <=> (v184(constB163) | v26(constB163)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36749,plain,
% 9.70/7.31 (v183(constB163) <=> (v184(constB163) | v26(constB163))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36748, 202])).
% 9.70/7.31 tff(36750,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB163) <=> (~((~v39(constB163)) | (~v9(constB163)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36751,plain,
% 9.70/7.31 (v184(constB163) <=> (~((~v39(constB163)) | (~v9(constB163))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36750, 120])).
% 9.70/7.31 tff(36752,plain,
% 9.70/7.31 (((~![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)))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36753,plain,
% 9.70/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36754,plain,
% 9.70/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36753, 36752])).
% 9.70/7.31 tff(36755,plain,
% 9.70/7.31 (v13(constB164) <=> v9(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36754, 2091, 216])).
% 9.70/7.31 tff(36756,plain,
% 9.70/7.31 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB164) <=> v13(constB164))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36757,plain,
% 9.70/7.31 (v6(constB164) <=> v13(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36756, 230])).
% 9.70/7.31 tff(36758,plain,
% 9.70/7.31 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB164)) <=> v6(constB164))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36759,plain,
% 9.70/7.31 ((~v21(constB164)) <=> v6(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36758, 239])).
% 9.70/7.31 tff(36760,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB164) <=> (v20(constB164) | v21(constB164)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36761,plain,
% 9.70/7.31 (v19(constB164) <=> (v20(constB164) | v21(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36760, 248])).
% 9.70/7.31 tff(36762,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36763,plain,
% 9.70/7.31 (v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36762, 260])).
% 9.70/7.31 tff(36764,plain,
% 9.70/7.31 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB164)) <=> v18(constB164))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36765,plain,
% 9.70/7.31 ((~v4(constB164)) <=> v18(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36764, 269])).
% 9.70/7.31 tff(36766,plain,
% 9.70/7.31 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB164)),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36767,plain,
% 9.70/7.31 (v4(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36766, 278])).
% 9.70/7.31 tff(36768,plain,
% 9.70/7.31 ((~((~v4(constB164)) <=> v18(constB164))) | (~v4(constB164)) | (~v18(constB164))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36769,plain,
% 9.70/7.31 (~v18(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36768, 36767, 36765])).
% 9.70/7.31 tff(36770,plain,
% 9.70/7.31 ((~(v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164)))))) | v18(constB164) | ((~v19(constB164)) | (~v22(constB164)))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36771,plain,
% 9.70/7.31 ((~v19(constB164)) | (~v22(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36770, 36769, 36763])).
% 9.70/7.31 tff(36772,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB164) <=> (v1(constB164) | v6(constB164)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36773,plain,
% 9.70/7.31 (v22(constB164) <=> (v1(constB164) | v6(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36772, 291])).
% 9.70/7.31 tff(36774,plain,
% 9.70/7.31 ((v1(constB164) | v6(constB164)) | (~v1(constB164))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36775,plain,
% 9.70/7.31 (v1(constB164) | v6(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36774, 2121])).
% 9.70/7.31 tff(36776,plain,
% 9.70/7.31 ((~(v22(constB164) <=> (v1(constB164) | v6(constB164)))) | v22(constB164) | (~(v1(constB164) | v6(constB164)))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36777,plain,
% 9.70/7.31 ((~(v22(constB164) <=> (v1(constB164) | v6(constB164)))) | v22(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36776, 36775])).
% 9.70/7.31 tff(36778,plain,
% 9.70/7.31 (v22(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36777, 36773])).
% 9.70/7.31 tff(36779,plain,
% 9.70/7.31 ((~((~v19(constB164)) | (~v22(constB164)))) | (~v19(constB164)) | (~v22(constB164))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36780,plain,
% 9.70/7.31 ((~((~v19(constB164)) | (~v22(constB164)))) | (~v19(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36779, 36778])).
% 9.70/7.31 tff(36781,plain,
% 9.70/7.31 (~v19(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36780, 36771])).
% 9.70/7.31 tff(36782,plain,
% 9.70/7.31 ((~(v19(constB164) <=> (v20(constB164) | v21(constB164)))) | v19(constB164) | (~(v20(constB164) | v21(constB164)))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36783,plain,
% 9.70/7.31 (~(v20(constB164) | v21(constB164))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36782, 36781, 36761])).
% 9.70/7.31 tff(36784,plain,
% 9.70/7.31 ((v20(constB164) | v21(constB164)) | (~v21(constB164))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36785,plain,
% 9.70/7.31 (~v21(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36784, 36783])).
% 9.70/7.31 tff(36786,plain,
% 9.70/7.31 ((~((~v21(constB164)) <=> v6(constB164))) | v21(constB164) | v6(constB164)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36787,plain,
% 9.70/7.31 (v6(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36786, 36785, 36759])).
% 9.70/7.31 tff(36788,plain,
% 9.70/7.31 ((~(v6(constB164) <=> v13(constB164))) | (~v6(constB164)) | v13(constB164)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36789,plain,
% 9.70/7.31 (v13(constB164)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36788, 36787, 36757])).
% 9.70/7.31 tff(36790,plain,
% 9.70/7.31 ((~(v13(constB164) <=> v9(constB163))) | (~v13(constB164)) | v9(constB163)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36791,plain,
% 9.70/7.31 (v9(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36790, 36789, 36755])).
% 9.70/7.31 tff(36792,plain,
% 9.70/7.31 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB163)) <=> v1(constB163))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36793,plain,
% 9.70/7.31 ((~v39(constB163)) <=> v1(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36792, 129])).
% 9.70/7.31 tff(36794,plain,
% 9.70/7.31 ((~((~v39(constB163)) <=> v1(constB163))) | v39(constB163) | v1(constB163)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36795,plain,
% 9.70/7.31 ((~((~v39(constB163)) <=> v1(constB163))) | v39(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36794, 2113])).
% 9.70/7.31 tff(36796,plain,
% 9.70/7.31 (v39(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36795, 36793])).
% 9.70/7.31 tff(36797,plain,
% 9.70/7.31 ((~((~v39(constB163)) | (~v9(constB163)))) | (~v39(constB163)) | (~v9(constB163))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36798,plain,
% 9.70/7.31 ((~((~v39(constB163)) | (~v9(constB163)))) | (~v9(constB163))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36797, 36796])).
% 9.70/7.31 tff(36799,plain,
% 9.70/7.31 (~((~v39(constB163)) | (~v9(constB163)))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36798, 36791])).
% 9.70/7.31 tff(36800,plain,
% 9.70/7.31 ((~(v184(constB163) <=> (~((~v39(constB163)) | (~v9(constB163)))))) | v184(constB163) | ((~v39(constB163)) | (~v9(constB163)))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36801,plain,
% 9.70/7.31 (v184(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36800, 36799, 36751])).
% 9.70/7.31 tff(36802,plain,
% 9.70/7.31 ((v184(constB163) | v26(constB163)) | (~v184(constB163))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36803,plain,
% 9.70/7.31 (v184(constB163) | v26(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36802, 36801])).
% 9.70/7.31 tff(36804,plain,
% 9.70/7.31 ((~(v183(constB163) <=> (v184(constB163) | v26(constB163)))) | v183(constB163) | (~(v184(constB163) | v26(constB163)))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36805,plain,
% 9.70/7.31 (v183(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36804, 36803, 36749])).
% 9.70/7.31 tff(36806,plain,
% 9.70/7.31 ((~((~v182(constB163)) <=> v183(constB163))) | (~v182(constB163)) | (~v183(constB163))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36807,plain,
% 9.70/7.31 (~v182(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36806, 36805, 36747])).
% 9.70/7.31 tff(36808,plain,
% 9.70/7.31 (((~v157(constB163)) | (~v182(constB163))) | v182(constB163)),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36809,plain,
% 9.70/7.31 ((~v157(constB163)) | (~v182(constB163))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36808, 36807])).
% 9.70/7.31 tff(36810,plain,
% 9.70/7.31 ((~(v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163)))))) | (~v181(constB163)) | (~((~v157(constB163)) | (~v182(constB163))))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36811,plain,
% 9.70/7.31 (~v181(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36810, 36809, 36745])).
% 9.70/7.31 tff(36812,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB163) <=> (~((~v186(constB163)) | (~v187(constB163)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36813,plain,
% 9.70/7.31 (v185(constB163) <=> (~((~v186(constB163)) | (~v187(constB163))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36812, 96])).
% 9.70/7.31 tff(36814,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB163) <=> (~((~v184(constB163)) | (~v159(constB163)))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36815,plain,
% 9.70/7.31 (v187(constB163) <=> (~((~v184(constB163)) | (~v159(constB163))))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36814, 108])).
% 9.70/7.31 tff(36816,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB163) <=> v161(constB163))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36817,plain,
% 9.70/7.31 (v159(constB163) <=> v161(constB163)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36816, 345])).
% 9.70/7.31 tff(36818,plain,
% 9.70/7.31 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB163) <=> (~(v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2))))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36819,plain,
% 9.70/7.31 (v139(constB163) <=> (~(v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2)))),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36818, 360])).
% 9.70/7.31 tff(36820,plain,
% 9.70/7.31 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB163, bitIndex1) <=> v90(constB163, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB163, bitIndex1) <=> v90(constB163, bitIndex1)))),
% 9.70/7.31 inference(rewrite,[status(thm)],[])).
% 9.70/7.31 tff(36821,plain,
% 9.70/7.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB163, bitIndex1) <=> v90(constB163, bitIndex1)))),
% 9.70/7.31 inference(quant_inst,[status(thm)],[])).
% 9.70/7.31 tff(36822,plain,
% 9.70/7.31 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB163, bitIndex1) <=> v90(constB163, bitIndex1))),
% 9.70/7.31 inference(modus_ponens,[status(thm)],[36821, 36820])).
% 9.70/7.31 tff(36823,plain,
% 9.70/7.31 (v88(constB163, bitIndex1) <=> v90(constB163, bitIndex1)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36822, 375, 372])).
% 9.70/7.31 tff(36824,plain,
% 9.70/7.31 ((~(v88(constB163, bitIndex1) <=> v90(constB163, bitIndex1))) | v88(constB163, bitIndex1) | (~v90(constB163, bitIndex1))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36825,plain,
% 9.70/7.31 (v88(constB163, bitIndex1)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36824, 23068, 36823])).
% 9.70/7.31 tff(36826,plain,
% 9.70/7.31 ((v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2)) | (~v88(constB163, bitIndex1))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.31 tff(36827,plain,
% 9.70/7.31 (v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2)),
% 9.70/7.31 inference(unit_resolution,[status(thm)],[36826, 36825])).
% 9.70/7.31 tff(36828,plain,
% 9.70/7.31 ((~(v139(constB163) <=> (~(v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2))))) | (~v139(constB163)) | (~(v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2)))),
% 9.70/7.31 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36829,plain,
% 9.70/7.32 (~v139(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36828, 36827, 36819])).
% 9.70/7.32 tff(36830,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0))))))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36831,plain,
% 9.70/7.32 ((v140(constB163) <=> (~(v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))))) <=> (v140(constB163) <=> (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0)))))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36832,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0))))))),
% 9.70/7.32 inference(monotonicity,[status(thm)],[36831])).
% 9.70/7.32 tff(36833,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0))))))),
% 9.70/7.32 inference(transitivity,[status(thm)],[36832, 36830])).
% 9.70/7.32 tff(36834,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36835,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0)))))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36834, 36833])).
% 9.70/7.32 tff(36836,plain,
% 9.70/7.32 (v140(constB163) <=> (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36835, 25795])).
% 9.70/7.32 tff(36837,plain,
% 9.70/7.32 ((v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0))) | (~v88(constB163, bitIndex1))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36838,plain,
% 9.70/7.32 (v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36837, 36825])).
% 9.70/7.32 tff(36839,plain,
% 9.70/7.32 ((~(v140(constB163) <=> (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0)))))) | (~v140(constB163)) | (~(v88(constB163, bitIndex2) | v88(constB163, bitIndex1) | (~v88(constB163, bitIndex0))))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36840,plain,
% 9.70/7.32 (~v140(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36839, 36838, 36836])).
% 9.70/7.32 tff(36841,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36842,plain,
% 9.70/7.32 ((v140(constB163) | v139(constB163) | (~v168(constB163))) <=> (v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36843,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v168(constB163))))),
% 9.70/7.32 inference(monotonicity,[status(thm)],[36842])).
% 9.70/7.32 tff(36844,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 9.70/7.32 inference(transitivity,[status(thm)],[36843, 36841])).
% 9.70/7.32 tff(36845,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v168(constB163)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36846,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36845, 36844])).
% 9.70/7.32 tff(36847,plain,
% 9.70/7.32 (v139(constB163) | v140(constB163) | (~v168(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36846, 25819])).
% 9.70/7.32 tff(36848,plain,
% 9.70/7.32 (~v168(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36847, 36840, 36829])).
% 9.70/7.32 tff(36849,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB163) <=> (v145(constB163) | v165(constB163)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36850,plain,
% 9.70/7.32 (v164(constB163) <=> (v145(constB163) | v165(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36849, 25834])).
% 9.70/7.32 tff(36851,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB163) <=> (v142(constB163) | v166(constB163)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36852,plain,
% 9.70/7.32 (v165(constB163) <=> (v142(constB163) | v166(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36851, 25846])).
% 9.70/7.32 tff(36853,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB163) <=> (v141(constB163) | v167(constB163)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36854,plain,
% 9.70/7.32 (v166(constB163) <=> (v141(constB163) | v167(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36853, 26362])).
% 9.70/7.32 tff(36855,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36856,plain,
% 9.70/7.32 (v141(constB163) <=> (~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36855, 26377])).
% 9.70/7.32 tff(36857,plain,
% 9.70/7.32 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB163, bitIndex2) <=> v90(constB163, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB163, bitIndex2) <=> v90(constB163, bitIndex2)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36858,plain,
% 9.70/7.32 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB163, bitIndex2) <=> v90(constB163, bitIndex2)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36859,plain,
% 9.70/7.32 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB163, bitIndex2) <=> v90(constB163, bitIndex2))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36858, 36857])).
% 9.70/7.32 tff(36860,plain,
% 9.70/7.32 (v88(constB163, bitIndex2) <=> v90(constB163, bitIndex2)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36859, 648, 372])).
% 9.70/7.32 tff(36861,plain,
% 9.70/7.32 ((~(v88(constB163, bitIndex2) <=> v90(constB163, bitIndex2))) | (~v88(constB163, bitIndex2)) | v90(constB163, bitIndex2)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36862,plain,
% 9.70/7.32 (~v88(constB163, bitIndex2)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36861, 23006, 36860])).
% 9.70/7.32 tff(36863,plain,
% 9.70/7.32 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB163, bitIndex0) <=> v90(constB163, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB163, bitIndex0) <=> v90(constB163, bitIndex0)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36864,plain,
% 9.70/7.32 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB163, bitIndex0) <=> v90(constB163, bitIndex0)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36865,plain,
% 9.70/7.32 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB163, bitIndex0) <=> v90(constB163, bitIndex0))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36864, 36863])).
% 9.70/7.32 tff(36866,plain,
% 9.70/7.32 (v88(constB163, bitIndex0) <=> v90(constB163, bitIndex0)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36865, 9653, 372])).
% 9.70/7.32 tff(36867,plain,
% 9.70/7.32 ((~(v88(constB163, bitIndex0) <=> v90(constB163, bitIndex0))) | v88(constB163, bitIndex0) | (~v90(constB163, bitIndex0))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36868,plain,
% 9.70/7.32 (v88(constB163, bitIndex0)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36867, 23037, 36866])).
% 9.70/7.32 tff(36869,plain,
% 9.70/7.32 ((~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)))) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36870,plain,
% 9.70/7.32 (~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36869, 36825, 36868, 36862])).
% 9.70/7.32 tff(36871,plain,
% 9.70/7.32 ((~(v141(constB163) <=> (~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)))))) | v141(constB163) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36872,plain,
% 9.70/7.32 (v141(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36871, 36870, 36856])).
% 9.70/7.32 tff(36873,plain,
% 9.70/7.32 ((v141(constB163) | v167(constB163)) | (~v141(constB163))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36874,plain,
% 9.70/7.32 (v141(constB163) | v167(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36873, 36872])).
% 9.70/7.32 tff(36875,plain,
% 9.70/7.32 ((~(v166(constB163) <=> (v141(constB163) | v167(constB163)))) | v166(constB163) | (~(v141(constB163) | v167(constB163)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36876,plain,
% 9.70/7.32 (v166(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36875, 36874, 36854])).
% 9.70/7.32 tff(36877,plain,
% 9.70/7.32 ((v142(constB163) | v166(constB163)) | (~v166(constB163))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36878,plain,
% 9.70/7.32 (v142(constB163) | v166(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36877, 36876])).
% 9.70/7.32 tff(36879,plain,
% 9.70/7.32 ((~(v165(constB163) <=> (v142(constB163) | v166(constB163)))) | v165(constB163) | (~(v142(constB163) | v166(constB163)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36880,plain,
% 9.70/7.32 (v165(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36879, 36878, 36852])).
% 9.70/7.32 tff(36881,plain,
% 9.70/7.32 ((v145(constB163) | v165(constB163)) | (~v165(constB163))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36882,plain,
% 9.70/7.32 (v145(constB163) | v165(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36881, 36880])).
% 9.70/7.32 tff(36883,plain,
% 9.70/7.32 ((~(v164(constB163) <=> (v145(constB163) | v165(constB163)))) | v164(constB163) | (~(v145(constB163) | v165(constB163)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36884,plain,
% 9.70/7.32 (v164(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36883, 36882, 36850])).
% 9.70/7.32 tff(36885,plain,
% 9.70/7.32 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB163)) | (v161(constB163) <=> v168(constB163)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB163)) | (v161(constB163) <=> v168(constB163)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36886,plain,
% 9.70/7.32 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB163)) | (v161(constB163) <=> v168(constB163)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36887,plain,
% 9.70/7.32 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB163)) | (v161(constB163) <=> v168(constB163))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36886, 36885])).
% 9.70/7.32 tff(36888,plain,
% 9.70/7.32 ((~v164(constB163)) | (v161(constB163) <=> v168(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36887, 25977])).
% 9.70/7.32 tff(36889,plain,
% 9.70/7.32 (v161(constB163) <=> v168(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36888, 36884])).
% 9.70/7.32 tff(36890,plain,
% 9.70/7.32 ((~(v161(constB163) <=> v168(constB163))) | (~v161(constB163)) | v168(constB163)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36891,plain,
% 9.70/7.32 (~v161(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36890, 36889, 36848])).
% 9.70/7.32 tff(36892,plain,
% 9.70/7.32 ((~(v159(constB163) <=> v161(constB163))) | (~v159(constB163)) | v161(constB163)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36893,plain,
% 9.70/7.32 ((~(v159(constB163) <=> v161(constB163))) | (~v159(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36892, 36891])).
% 9.70/7.32 tff(36894,plain,
% 9.70/7.32 (~v159(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36893, 36817])).
% 9.70/7.32 tff(36895,plain,
% 9.70/7.32 (((~v184(constB163)) | (~v159(constB163))) | v159(constB163)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36896,plain,
% 9.70/7.32 ((~v184(constB163)) | (~v159(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36895, 36894])).
% 9.70/7.32 tff(36897,plain,
% 9.70/7.32 ((~(v187(constB163) <=> (~((~v184(constB163)) | (~v159(constB163)))))) | (~v187(constB163)) | (~((~v184(constB163)) | (~v159(constB163))))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36898,plain,
% 9.70/7.32 (~v187(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36897, 36896, 36815])).
% 9.70/7.32 tff(36899,plain,
% 9.70/7.32 (((~v186(constB163)) | (~v187(constB163))) | v187(constB163)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36900,plain,
% 9.70/7.32 ((~v186(constB163)) | (~v187(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36899, 36898])).
% 9.70/7.32 tff(36901,plain,
% 9.70/7.32 ((~(v185(constB163) <=> (~((~v186(constB163)) | (~v187(constB163)))))) | (~v185(constB163)) | (~((~v186(constB163)) | (~v187(constB163))))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36902,plain,
% 9.70/7.32 (~v185(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36901, 36900, 36813])).
% 9.70/7.32 tff(36903,plain,
% 9.70/7.32 ((~(v181(constB163) | v185(constB163))) | v181(constB163) | v185(constB163)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36904,plain,
% 9.70/7.32 (~(v181(constB163) | v185(constB163))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36903, 36902, 36811])).
% 9.70/7.32 tff(36905,plain,
% 9.70/7.32 ((~(v178(constB163) <=> (v181(constB163) | v185(constB163)))) | (~v178(constB163)) | (v181(constB163) | v185(constB163))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36906,plain,
% 9.70/7.32 (~v178(constB163)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36905, 36904, 36738])).
% 9.70/7.32 tff(36907,plain,
% 9.70/7.32 ((~(v180(constB164) <=> v178(constB163))) | (~v180(constB164)) | v178(constB163)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36908,plain,
% 9.70/7.32 (~v180(constB164)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36907, 36906, 36736])).
% 9.70/7.32 tff(36909,plain,
% 9.70/7.32 ((~(v157(constB164) <=> v180(constB164))) | (~v157(constB164)) | v180(constB164)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36910,plain,
% 9.70/7.32 (~v157(constB164)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36909, 36908, 36732])).
% 9.70/7.32 tff(36911,plain,
% 9.70/7.32 (((~v157(constB164)) | (~v182(constB164))) | v157(constB164)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36912,plain,
% 9.70/7.32 ((~v157(constB164)) | (~v182(constB164))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36911, 36910])).
% 9.70/7.32 tff(36913,plain,
% 9.70/7.32 ((~(v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164)))))) | (~v181(constB164)) | (~((~v157(constB164)) | (~v182(constB164))))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36914,plain,
% 9.70/7.32 (~v181(constB164)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36913, 36912, 36730])).
% 9.70/7.32 tff(36915,plain,
% 9.70/7.32 ((~(v181(constB164) | v185(constB164))) | v181(constB164) | v185(constB164)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36916,plain,
% 9.70/7.32 (~(v181(constB164) | v185(constB164))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36915, 36914, 36723])).
% 9.70/7.32 tff(36917,plain,
% 9.70/7.32 ((~(v178(constB164) <=> (v181(constB164) | v185(constB164)))) | (~v178(constB164)) | (v181(constB164) | v185(constB164))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36918,plain,
% 9.70/7.32 (~v178(constB164)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36917, 36916, 36698])).
% 9.70/7.32 tff(36919,plain,
% 9.70/7.32 ((~(v180(constB165) <=> v178(constB164))) | (~v180(constB165)) | v178(constB164)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36920,plain,
% 9.70/7.32 (~v180(constB165)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36919, 36918, 36696])).
% 9.70/7.32 tff(36921,plain,
% 9.70/7.32 ($false),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36920, 36692])).
% 9.70/7.32 tff(36922,plain,(~(constB165 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.32 tff(36923,assumption,(constB153 = VarCurr!0), introduced(assumption)).
% 9.70/7.32 tff(36924,plain,
% 9.70/7.32 (v180(constB153) <=> v180(VarCurr!0)),
% 9.70/7.32 inference(monotonicity,[status(thm)],[36923])).
% 9.70/7.32 tff(36925,plain,
% 9.70/7.32 (v180(VarCurr!0) <=> v180(constB153)),
% 9.70/7.32 inference(symmetry,[status(thm)],[36924])).
% 9.70/7.32 tff(36926,plain,
% 9.70/7.32 (v180(constB153)),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[59, 36925])).
% 9.70/7.32 tff(36927,plain,
% 9.70/7.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB152, constB153)) | (v180(constB153) <=> v178(constB152)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB152, constB153)) | (v180(constB153) <=> v178(constB152)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36928,plain,
% 9.70/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB152, constB153)) | (v180(constB153) <=> v178(constB152)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36929,plain,
% 9.70/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB152, constB153)) | (v180(constB153) <=> v178(constB152))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36928, 36927])).
% 9.70/7.32 tff(36930,plain,
% 9.70/7.32 (v180(constB153) <=> v178(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36929, 2611, 70])).
% 9.70/7.32 tff(36931,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB152) <=> (v181(constB152) | v185(constB152)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36932,plain,
% 9.70/7.32 (v178(constB152) <=> (v181(constB152) | v185(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36931, 84])).
% 9.70/7.32 tff(36933,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB152) <=> (~((~v186(constB152)) | (~v187(constB152)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36934,plain,
% 9.70/7.32 (v185(constB152) <=> (~((~v186(constB152)) | (~v187(constB152))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36933, 96])).
% 9.70/7.32 tff(36935,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB152) <=> (~((~v184(constB152)) | (~v159(constB152)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36936,plain,
% 9.70/7.32 (v187(constB152) <=> (~((~v184(constB152)) | (~v159(constB152))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36935, 108])).
% 9.70/7.32 tff(36937,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36938,plain,
% 9.70/7.32 (v184(constB152) <=> (~((~v39(constB152)) | (~v9(constB152))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36937, 120])).
% 9.70/7.32 tff(36939,plain,
% 9.70/7.32 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB152)) <=> v1(constB152))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36940,plain,
% 9.70/7.32 ((~v39(constB152)) <=> v1(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36939, 129])).
% 9.70/7.32 tff(36941,plain,
% 9.70/7.32 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152)) | (~v1(constB152))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36942,plain,
% 9.70/7.32 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36941, 2673])).
% 9.70/7.32 tff(36943,plain,
% 9.70/7.32 (~v39(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36942, 36940])).
% 9.70/7.32 tff(36944,plain,
% 9.70/7.32 (((~v39(constB152)) | (~v9(constB152))) | v39(constB152)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36945,plain,
% 9.70/7.32 ((~v39(constB152)) | (~v9(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36944, 36943])).
% 9.70/7.32 tff(36946,plain,
% 9.70/7.32 ((~(v184(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v184(constB152)) | (~((~v39(constB152)) | (~v9(constB152))))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36947,plain,
% 9.70/7.32 ((~(v184(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v184(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36946, 36945])).
% 9.70/7.32 tff(36948,plain,
% 9.70/7.32 (~v184(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36947, 36938])).
% 9.70/7.32 tff(36949,plain,
% 9.70/7.32 (((~v184(constB152)) | (~v159(constB152))) | v184(constB152)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36950,plain,
% 9.70/7.32 ((~v184(constB152)) | (~v159(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36949, 36948])).
% 9.70/7.32 tff(36951,plain,
% 9.70/7.32 ((~(v187(constB152) <=> (~((~v184(constB152)) | (~v159(constB152)))))) | (~v187(constB152)) | (~((~v184(constB152)) | (~v159(constB152))))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36952,plain,
% 9.70/7.32 ((~(v187(constB152) <=> (~((~v184(constB152)) | (~v159(constB152)))))) | (~v187(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36951, 36950])).
% 9.70/7.32 tff(36953,plain,
% 9.70/7.32 (~v187(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36952, 36936])).
% 9.70/7.32 tff(36954,plain,
% 9.70/7.32 (((~v186(constB152)) | (~v187(constB152))) | v187(constB152)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36955,plain,
% 9.70/7.32 ((~v186(constB152)) | (~v187(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36954, 36953])).
% 9.70/7.32 tff(36956,plain,
% 9.70/7.32 ((~(v185(constB152) <=> (~((~v186(constB152)) | (~v187(constB152)))))) | (~v185(constB152)) | (~((~v186(constB152)) | (~v187(constB152))))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(36957,plain,
% 9.70/7.32 (~v185(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36956, 36955, 36934])).
% 9.70/7.32 tff(36958,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152))))))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36959,plain,
% 9.70/7.32 ((v181(constB152) <=> (~((~v182(constB152)) | (~v157(constB152))))) <=> (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152)))))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36960,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v182(constB152)) | (~v157(constB152)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152))))))),
% 9.70/7.32 inference(monotonicity,[status(thm)],[36959])).
% 9.70/7.32 tff(36961,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v182(constB152)) | (~v157(constB152)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152))))))),
% 9.70/7.32 inference(transitivity,[status(thm)],[36960, 36958])).
% 9.70/7.32 tff(36962,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v182(constB152)) | (~v157(constB152)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36963,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152)))))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36962, 36961])).
% 9.70/7.32 tff(36964,plain,
% 9.70/7.32 (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36963, 161])).
% 9.70/7.32 tff(36965,plain,
% 9.70/7.32 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB152) <=> v180(constB152))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36966,plain,
% 9.70/7.32 (v157(constB152) <=> v180(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36965, 13])).
% 9.70/7.32 tff(36967,plain,
% 9.70/7.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB151, constB152)) | (v180(constB152) <=> v178(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB151, constB152)) | (v180(constB152) <=> v178(constB151)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36968,plain,
% 9.70/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB151, constB152)) | (v180(constB152) <=> v178(constB151)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36969,plain,
% 9.70/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB151, constB152)) | (v180(constB152) <=> v178(constB151))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36968, 36967])).
% 9.70/7.32 tff(36970,plain,
% 9.70/7.32 (v180(constB152) <=> v178(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36969, 2643, 70])).
% 9.70/7.32 tff(36971,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB151) <=> (v181(constB151) | v185(constB151)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36972,plain,
% 9.70/7.32 (v178(constB151) <=> (v181(constB151) | v185(constB151))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36971, 84])).
% 9.70/7.32 tff(36973,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151))))))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36974,plain,
% 9.70/7.32 ((v181(constB151) <=> (~((~v182(constB151)) | (~v157(constB151))))) <=> (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151)))))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36975,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v182(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151))))))),
% 9.70/7.32 inference(monotonicity,[status(thm)],[36974])).
% 9.70/7.32 tff(36976,plain,
% 9.70/7.32 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v182(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151))))))),
% 9.70/7.32 inference(transitivity,[status(thm)],[36975, 36973])).
% 9.70/7.32 tff(36977,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v182(constB151)) | (~v157(constB151)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36978,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151)))))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36977, 36976])).
% 9.70/7.32 tff(36979,plain,
% 9.70/7.32 (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36978, 161])).
% 9.70/7.32 tff(36980,plain,
% 9.70/7.32 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB151)) <=> v183(constB151))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36981,plain,
% 9.70/7.32 ((~v182(constB151)) <=> v183(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36980, 193])).
% 9.70/7.32 tff(36982,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB151) <=> (v184(constB151) | v26(constB151)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36983,plain,
% 9.70/7.32 (v183(constB151) <=> (v184(constB151) | v26(constB151))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36982, 202])).
% 9.70/7.32 tff(36984,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36985,plain,
% 9.70/7.32 (v184(constB151) <=> (~((~v39(constB151)) | (~v9(constB151))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36984, 120])).
% 9.70/7.32 tff(36986,plain,
% 9.70/7.32 (((~![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)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(36987,plain,
% 9.70/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36988,plain,
% 9.70/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151))),
% 9.70/7.32 inference(modus_ponens,[status(thm)],[36987, 36986])).
% 9.70/7.32 tff(36989,plain,
% 9.70/7.32 (v13(constB152) <=> v9(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36988, 2643, 216])).
% 9.70/7.32 tff(36990,plain,
% 9.70/7.32 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB152) <=> v13(constB152))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36991,plain,
% 9.70/7.32 (v6(constB152) <=> v13(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36990, 230])).
% 9.70/7.32 tff(36992,plain,
% 9.70/7.32 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB152)) <=> v6(constB152))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36993,plain,
% 9.70/7.32 ((~v21(constB152)) <=> v6(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36992, 239])).
% 9.70/7.32 tff(36994,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB152) <=> (v20(constB152) | v21(constB152)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36995,plain,
% 9.70/7.32 (v19(constB152) <=> (v20(constB152) | v21(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36994, 248])).
% 9.70/7.32 tff(36996,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36997,plain,
% 9.70/7.32 (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36996, 260])).
% 9.70/7.32 tff(36998,plain,
% 9.70/7.32 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB152)) <=> v18(constB152))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(36999,plain,
% 9.70/7.32 ((~v4(constB152)) <=> v18(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[36998, 269])).
% 9.70/7.32 tff(37000,plain,
% 9.70/7.32 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB152)),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(37001,plain,
% 9.70/7.32 (v4(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37000, 278])).
% 9.70/7.32 tff(37002,plain,
% 9.70/7.32 ((~((~v4(constB152)) <=> v18(constB152))) | (~v4(constB152)) | (~v18(constB152))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37003,plain,
% 9.70/7.32 (~v18(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37002, 37001, 36999])).
% 9.70/7.32 tff(37004,plain,
% 9.70/7.32 ((~(v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))) | v18(constB152) | ((~v19(constB152)) | (~v22(constB152)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37005,plain,
% 9.70/7.32 ((~v19(constB152)) | (~v22(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37004, 37003, 36997])).
% 9.70/7.32 tff(37006,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB152) <=> (v1(constB152) | v6(constB152)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(37007,plain,
% 9.70/7.32 (v22(constB152) <=> (v1(constB152) | v6(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37006, 291])).
% 9.70/7.32 tff(37008,plain,
% 9.70/7.32 ((v1(constB152) | v6(constB152)) | (~v1(constB152))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37009,plain,
% 9.70/7.32 (v1(constB152) | v6(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37008, 2673])).
% 9.70/7.32 tff(37010,plain,
% 9.70/7.32 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152) | (~(v1(constB152) | v6(constB152)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37011,plain,
% 9.70/7.32 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37010, 37009])).
% 9.70/7.32 tff(37012,plain,
% 9.70/7.32 (v22(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37011, 37007])).
% 9.70/7.32 tff(37013,plain,
% 9.70/7.32 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152)) | (~v22(constB152))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37014,plain,
% 9.70/7.32 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37013, 37012])).
% 9.70/7.32 tff(37015,plain,
% 9.70/7.32 (~v19(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37014, 37005])).
% 9.70/7.32 tff(37016,plain,
% 9.70/7.32 ((~(v19(constB152) <=> (v20(constB152) | v21(constB152)))) | v19(constB152) | (~(v20(constB152) | v21(constB152)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37017,plain,
% 9.70/7.32 (~(v20(constB152) | v21(constB152))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37016, 37015, 36995])).
% 9.70/7.32 tff(37018,plain,
% 9.70/7.32 ((v20(constB152) | v21(constB152)) | (~v21(constB152))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37019,plain,
% 9.70/7.32 (~v21(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37018, 37017])).
% 9.70/7.32 tff(37020,plain,
% 9.70/7.32 ((~((~v21(constB152)) <=> v6(constB152))) | v21(constB152) | v6(constB152)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37021,plain,
% 9.70/7.32 (v6(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37020, 37019, 36993])).
% 9.70/7.32 tff(37022,plain,
% 9.70/7.32 ((~(v6(constB152) <=> v13(constB152))) | (~v6(constB152)) | v13(constB152)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37023,plain,
% 9.70/7.32 (v13(constB152)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37022, 37021, 36991])).
% 9.70/7.32 tff(37024,plain,
% 9.70/7.32 ((~(v13(constB152) <=> v9(constB151))) | (~v13(constB152)) | v9(constB151)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37025,plain,
% 9.70/7.32 (v9(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37024, 37023, 36989])).
% 9.70/7.32 tff(37026,plain,
% 9.70/7.32 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB151)) <=> v1(constB151))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(37027,plain,
% 9.70/7.32 ((~v39(constB151)) <=> v1(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37026, 129])).
% 9.70/7.32 tff(37028,plain,
% 9.70/7.32 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151) | v1(constB151)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37029,plain,
% 9.70/7.32 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37028, 2665])).
% 9.70/7.32 tff(37030,plain,
% 9.70/7.32 (v39(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37029, 37027])).
% 9.70/7.32 tff(37031,plain,
% 9.70/7.32 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v39(constB151)) | (~v9(constB151))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37032,plain,
% 9.70/7.32 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v9(constB151))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37031, 37030])).
% 9.70/7.32 tff(37033,plain,
% 9.70/7.32 (~((~v39(constB151)) | (~v9(constB151)))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37032, 37025])).
% 9.70/7.32 tff(37034,plain,
% 9.70/7.32 ((~(v184(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))) | v184(constB151) | ((~v39(constB151)) | (~v9(constB151)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37035,plain,
% 9.70/7.32 (v184(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37034, 37033, 36985])).
% 9.70/7.32 tff(37036,plain,
% 9.70/7.32 ((v184(constB151) | v26(constB151)) | (~v184(constB151))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37037,plain,
% 9.70/7.32 (v184(constB151) | v26(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37036, 37035])).
% 9.70/7.32 tff(37038,plain,
% 9.70/7.32 ((~(v183(constB151) <=> (v184(constB151) | v26(constB151)))) | v183(constB151) | (~(v184(constB151) | v26(constB151)))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37039,plain,
% 9.70/7.32 (v183(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37038, 37037, 36983])).
% 9.70/7.32 tff(37040,plain,
% 9.70/7.32 ((~((~v182(constB151)) <=> v183(constB151))) | (~v182(constB151)) | (~v183(constB151))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37041,plain,
% 9.70/7.32 (~v182(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37040, 37039, 36981])).
% 9.70/7.32 tff(37042,plain,
% 9.70/7.32 (((~v157(constB151)) | (~v182(constB151))) | v182(constB151)),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37043,plain,
% 9.70/7.32 ((~v157(constB151)) | (~v182(constB151))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37042, 37041])).
% 9.70/7.32 tff(37044,plain,
% 9.70/7.32 ((~(v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151)))))) | (~v181(constB151)) | (~((~v157(constB151)) | (~v182(constB151))))),
% 9.70/7.32 inference(tautology,[status(thm)],[])).
% 9.70/7.32 tff(37045,plain,
% 9.70/7.32 (~v181(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37044, 37043, 36979])).
% 9.70/7.32 tff(37046,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB151) <=> (~((~v186(constB151)) | (~v187(constB151)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(37047,plain,
% 9.70/7.32 (v185(constB151) <=> (~((~v186(constB151)) | (~v187(constB151))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37046, 96])).
% 9.70/7.32 tff(37048,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB151) <=> (~((~v184(constB151)) | (~v159(constB151)))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(37049,plain,
% 9.70/7.32 (v187(constB151) <=> (~((~v184(constB151)) | (~v159(constB151))))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37048, 108])).
% 9.70/7.32 tff(37050,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB151) <=> v161(constB151))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(37051,plain,
% 9.70/7.32 (v159(constB151) <=> v161(constB151)),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37050, 345])).
% 9.70/7.32 tff(37052,plain,
% 9.70/7.32 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB151) <=> (~(v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2))))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(37053,plain,
% 9.70/7.32 (v139(constB151) <=> (~(v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2)))),
% 9.70/7.32 inference(unit_resolution,[status(thm)],[37052, 360])).
% 9.70/7.32 tff(37054,plain,
% 9.70/7.32 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB151, bitIndex1) <=> v90(constB151, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB151, bitIndex1) <=> v90(constB151, bitIndex1)))),
% 9.70/7.32 inference(rewrite,[status(thm)],[])).
% 9.70/7.32 tff(37055,plain,
% 9.70/7.32 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB151, bitIndex1) <=> v90(constB151, bitIndex1)))),
% 9.70/7.32 inference(quant_inst,[status(thm)],[])).
% 9.70/7.32 tff(37056,plain,
% 9.70/7.32 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB151, bitIndex1) <=> v90(constB151, bitIndex1))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37055, 37054])).
% 9.70/7.33 tff(37057,plain,
% 9.70/7.33 (v88(constB151, bitIndex1) <=> v90(constB151, bitIndex1)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37056, 375, 372])).
% 9.70/7.33 tff(37058,plain,
% 9.70/7.33 ((~(v88(constB151, bitIndex1) <=> v90(constB151, bitIndex1))) | v88(constB151, bitIndex1) | (~v90(constB151, bitIndex1))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37059,plain,
% 9.70/7.33 (v88(constB151, bitIndex1)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37058, 22092, 37057])).
% 9.70/7.33 tff(37060,plain,
% 9.70/7.33 ((v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2)) | (~v88(constB151, bitIndex1))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37061,plain,
% 9.70/7.33 (v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37060, 37059])).
% 9.70/7.33 tff(37062,plain,
% 9.70/7.33 ((~(v139(constB151) <=> (~(v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2))))) | (~v139(constB151)) | (~(v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2)))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37063,plain,
% 9.70/7.33 (~v139(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37062, 37061, 37053])).
% 9.70/7.33 tff(37064,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0))))))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37065,plain,
% 9.70/7.33 ((v140(constB151) <=> (~(v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))))) <=> (v140(constB151) <=> (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0)))))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37066,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0))))))),
% 9.70/7.33 inference(monotonicity,[status(thm)],[37065])).
% 9.70/7.33 tff(37067,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0))))))),
% 9.70/7.33 inference(transitivity,[status(thm)],[37066, 37064])).
% 9.70/7.33 tff(37068,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37069,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0)))))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37068, 37067])).
% 9.70/7.33 tff(37070,plain,
% 9.70/7.33 (v140(constB151) <=> (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37069, 25795])).
% 9.70/7.33 tff(37071,plain,
% 9.70/7.33 ((v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0))) | (~v88(constB151, bitIndex1))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37072,plain,
% 9.70/7.33 (v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37071, 37059])).
% 9.70/7.33 tff(37073,plain,
% 9.70/7.33 ((~(v140(constB151) <=> (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0)))))) | (~v140(constB151)) | (~(v88(constB151, bitIndex2) | v88(constB151, bitIndex1) | (~v88(constB151, bitIndex0))))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37074,plain,
% 9.70/7.33 (~v140(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37073, 37072, 37070])).
% 9.70/7.33 tff(37075,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v168(constB151)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB151) | v139(constB151) | (~v168(constB151)))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37076,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v168(constB151)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37077,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB151) | v139(constB151) | (~v168(constB151))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37076, 37075])).
% 9.70/7.33 tff(37078,plain,
% 9.70/7.33 (v140(constB151) | v139(constB151) | (~v168(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37077, 25819])).
% 9.70/7.33 tff(37079,plain,
% 9.70/7.33 (~v168(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37078, 37074, 37063])).
% 9.70/7.33 tff(37080,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB151) <=> (v145(constB151) | v165(constB151)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37081,plain,
% 9.70/7.33 (v164(constB151) <=> (v145(constB151) | v165(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37080, 25834])).
% 9.70/7.33 tff(37082,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB151) <=> (v142(constB151) | v166(constB151)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37083,plain,
% 9.70/7.33 (v165(constB151) <=> (v142(constB151) | v166(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37082, 25846])).
% 9.70/7.33 tff(37084,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB151) <=> (v141(constB151) | v167(constB151)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37085,plain,
% 9.70/7.33 (v166(constB151) <=> (v141(constB151) | v167(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37084, 26362])).
% 9.70/7.33 tff(37086,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37087,plain,
% 9.70/7.33 (v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37086, 26377])).
% 9.70/7.33 tff(37088,plain,
% 9.70/7.33 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB151, bitIndex2) <=> v90(constB151, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB151, bitIndex2) <=> v90(constB151, bitIndex2)))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37089,plain,
% 9.70/7.33 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB151, bitIndex2) <=> v90(constB151, bitIndex2)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37090,plain,
% 9.70/7.33 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB151, bitIndex2) <=> v90(constB151, bitIndex2))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37089, 37088])).
% 9.70/7.33 tff(37091,plain,
% 9.70/7.33 (v88(constB151, bitIndex2) <=> v90(constB151, bitIndex2)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37090, 648, 372])).
% 9.70/7.33 tff(37092,plain,
% 9.70/7.33 ((~(v88(constB151, bitIndex2) <=> v90(constB151, bitIndex2))) | (~v88(constB151, bitIndex2)) | v90(constB151, bitIndex2)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37093,plain,
% 9.70/7.33 (~v88(constB151, bitIndex2)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37092, 22030, 37091])).
% 9.70/7.33 tff(37094,plain,
% 9.70/7.33 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB151, bitIndex0) <=> v90(constB151, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB151, bitIndex0) <=> v90(constB151, bitIndex0)))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37095,plain,
% 9.70/7.33 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB151, bitIndex0) <=> v90(constB151, bitIndex0)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37096,plain,
% 9.70/7.33 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB151, bitIndex0) <=> v90(constB151, bitIndex0))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37095, 37094])).
% 9.70/7.33 tff(37097,plain,
% 9.70/7.33 (v88(constB151, bitIndex0) <=> v90(constB151, bitIndex0)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37096, 9653, 372])).
% 9.70/7.33 tff(37098,plain,
% 9.70/7.33 ((~(v88(constB151, bitIndex0) <=> v90(constB151, bitIndex0))) | v88(constB151, bitIndex0) | (~v90(constB151, bitIndex0))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37099,plain,
% 9.70/7.33 (v88(constB151, bitIndex0)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37098, 22061, 37097])).
% 9.70/7.33 tff(37100,plain,
% 9.70/7.33 ((~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37101,plain,
% 9.70/7.33 (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37100, 37059, 37099, 37093])).
% 9.70/7.33 tff(37102,plain,
% 9.70/7.33 ((~(v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))))) | v141(constB151) | (v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37103,plain,
% 9.70/7.33 (v141(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37102, 37101, 37087])).
% 9.70/7.33 tff(37104,plain,
% 9.70/7.33 ((v141(constB151) | v167(constB151)) | (~v141(constB151))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37105,plain,
% 9.70/7.33 (v141(constB151) | v167(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37104, 37103])).
% 9.70/7.33 tff(37106,plain,
% 9.70/7.33 ((~(v166(constB151) <=> (v141(constB151) | v167(constB151)))) | v166(constB151) | (~(v141(constB151) | v167(constB151)))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37107,plain,
% 9.70/7.33 (v166(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37106, 37105, 37085])).
% 9.70/7.33 tff(37108,plain,
% 9.70/7.33 ((v142(constB151) | v166(constB151)) | (~v166(constB151))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37109,plain,
% 9.70/7.33 (v142(constB151) | v166(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37108, 37107])).
% 9.70/7.33 tff(37110,plain,
% 9.70/7.33 ((~(v165(constB151) <=> (v142(constB151) | v166(constB151)))) | v165(constB151) | (~(v142(constB151) | v166(constB151)))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37111,plain,
% 9.70/7.33 (v165(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37110, 37109, 37083])).
% 9.70/7.33 tff(37112,plain,
% 9.70/7.33 ((v145(constB151) | v165(constB151)) | (~v165(constB151))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37113,plain,
% 9.70/7.33 (v145(constB151) | v165(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37112, 37111])).
% 9.70/7.33 tff(37114,plain,
% 9.70/7.33 ((~(v164(constB151) <=> (v145(constB151) | v165(constB151)))) | v164(constB151) | (~(v145(constB151) | v165(constB151)))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37115,plain,
% 9.70/7.33 (v164(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37114, 37113, 37081])).
% 9.70/7.33 tff(37116,plain,
% 9.70/7.33 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB151)) | (v161(constB151) <=> v168(constB151)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB151)) | (v161(constB151) <=> v168(constB151)))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37117,plain,
% 9.70/7.33 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB151)) | (v161(constB151) <=> v168(constB151)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37118,plain,
% 9.70/7.33 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB151)) | (v161(constB151) <=> v168(constB151))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37117, 37116])).
% 9.70/7.33 tff(37119,plain,
% 9.70/7.33 ((~v164(constB151)) | (v161(constB151) <=> v168(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37118, 25977])).
% 9.70/7.33 tff(37120,plain,
% 9.70/7.33 (v161(constB151) <=> v168(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37119, 37115])).
% 9.70/7.33 tff(37121,plain,
% 9.70/7.33 ((~(v161(constB151) <=> v168(constB151))) | (~v161(constB151)) | v168(constB151)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37122,plain,
% 9.70/7.33 (~v161(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37121, 37120, 37079])).
% 9.70/7.33 tff(37123,plain,
% 9.70/7.33 ((~(v159(constB151) <=> v161(constB151))) | (~v159(constB151)) | v161(constB151)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37124,plain,
% 9.70/7.33 ((~(v159(constB151) <=> v161(constB151))) | (~v159(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37123, 37122])).
% 9.70/7.33 tff(37125,plain,
% 9.70/7.33 (~v159(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37124, 37051])).
% 9.70/7.33 tff(37126,plain,
% 9.70/7.33 (((~v184(constB151)) | (~v159(constB151))) | v159(constB151)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37127,plain,
% 9.70/7.33 ((~v184(constB151)) | (~v159(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37126, 37125])).
% 9.70/7.33 tff(37128,plain,
% 9.70/7.33 ((~(v187(constB151) <=> (~((~v184(constB151)) | (~v159(constB151)))))) | (~v187(constB151)) | (~((~v184(constB151)) | (~v159(constB151))))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37129,plain,
% 9.70/7.33 (~v187(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37128, 37127, 37049])).
% 9.70/7.33 tff(37130,plain,
% 9.70/7.33 (((~v186(constB151)) | (~v187(constB151))) | v187(constB151)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37131,plain,
% 9.70/7.33 ((~v186(constB151)) | (~v187(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37130, 37129])).
% 9.70/7.33 tff(37132,plain,
% 9.70/7.33 ((~(v185(constB151) <=> (~((~v186(constB151)) | (~v187(constB151)))))) | (~v185(constB151)) | (~((~v186(constB151)) | (~v187(constB151))))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37133,plain,
% 9.70/7.33 (~v185(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37132, 37131, 37047])).
% 9.70/7.33 tff(37134,plain,
% 9.70/7.33 ((~(v181(constB151) | v185(constB151))) | v181(constB151) | v185(constB151)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37135,plain,
% 9.70/7.33 (~(v181(constB151) | v185(constB151))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37134, 37133, 37045])).
% 9.70/7.33 tff(37136,plain,
% 9.70/7.33 ((~(v178(constB151) <=> (v181(constB151) | v185(constB151)))) | (~v178(constB151)) | (v181(constB151) | v185(constB151))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37137,plain,
% 9.70/7.33 (~v178(constB151)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37136, 37135, 36972])).
% 9.70/7.33 tff(37138,plain,
% 9.70/7.33 ((~(v180(constB152) <=> v178(constB151))) | (~v180(constB152)) | v178(constB151)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37139,plain,
% 9.70/7.33 (~v180(constB152)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37138, 37137, 36970])).
% 9.70/7.33 tff(37140,plain,
% 9.70/7.33 ((~(v157(constB152) <=> v180(constB152))) | (~v157(constB152)) | v180(constB152)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37141,plain,
% 9.70/7.33 (~v157(constB152)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37140, 37139, 36966])).
% 9.70/7.33 tff(37142,plain,
% 9.70/7.33 (((~v157(constB152)) | (~v182(constB152))) | v157(constB152)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37143,plain,
% 9.70/7.33 ((~v157(constB152)) | (~v182(constB152))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37142, 37141])).
% 9.70/7.33 tff(37144,plain,
% 9.70/7.33 ((~(v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152)))))) | (~v181(constB152)) | (~((~v157(constB152)) | (~v182(constB152))))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37145,plain,
% 9.70/7.33 (~v181(constB152)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37144, 37143, 36964])).
% 9.70/7.33 tff(37146,plain,
% 9.70/7.33 ((~(v181(constB152) | v185(constB152))) | v181(constB152) | v185(constB152)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37147,plain,
% 9.70/7.33 (~(v181(constB152) | v185(constB152))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37146, 37145, 36957])).
% 9.70/7.33 tff(37148,plain,
% 9.70/7.33 ((~(v178(constB152) <=> (v181(constB152) | v185(constB152)))) | (~v178(constB152)) | (v181(constB152) | v185(constB152))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37149,plain,
% 9.70/7.33 (~v178(constB152)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37148, 37147, 36932])).
% 9.70/7.33 tff(37150,plain,
% 9.70/7.33 ((~(v180(constB153) <=> v178(constB152))) | (~v180(constB153)) | v178(constB152)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37151,plain,
% 9.70/7.33 (~v180(constB153)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37150, 37149, 36930])).
% 9.70/7.33 tff(37152,plain,
% 9.70/7.33 ($false),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37151, 36926])).
% 9.70/7.33 tff(37153,plain,(~(constB153 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.33 tff(37154,assumption,(constB179 = VarCurr!0), introduced(assumption)).
% 9.70/7.33 tff(37155,plain,
% 9.70/7.33 (v180(constB179) <=> v180(VarCurr!0)),
% 9.70/7.33 inference(monotonicity,[status(thm)],[37154])).
% 9.70/7.33 tff(37156,plain,
% 9.70/7.33 (v180(VarCurr!0) <=> v180(constB179)),
% 9.70/7.33 inference(symmetry,[status(thm)],[37155])).
% 9.70/7.33 tff(37157,plain,
% 9.70/7.33 (v180(constB179)),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[59, 37156])).
% 9.70/7.33 tff(37158,plain,
% 9.70/7.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB178, constB179)) | (v180(constB179) <=> v178(constB178)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB178, constB179)) | (v180(constB179) <=> v178(constB178)))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37159,plain,
% 9.70/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB178, constB179)) | (v180(constB179) <=> v178(constB178)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37160,plain,
% 9.70/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB178, constB179)) | (v180(constB179) <=> v178(constB178))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37159, 37158])).
% 9.70/7.33 tff(37161,plain,
% 9.70/7.33 (v180(constB179) <=> v178(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37160, 1416, 70])).
% 9.70/7.33 tff(37162,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB178) <=> (v181(constB178) | v185(constB178)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37163,plain,
% 9.70/7.33 (v178(constB178) <=> (v181(constB178) | v185(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37162, 84])).
% 9.70/7.33 tff(37164,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB178) <=> (~((~v186(constB178)) | (~v187(constB178)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37165,plain,
% 9.70/7.33 (v185(constB178) <=> (~((~v186(constB178)) | (~v187(constB178))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37164, 96])).
% 9.70/7.33 tff(37166,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB178) <=> (~((~v184(constB178)) | (~v159(constB178)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37167,plain,
% 9.70/7.33 (v187(constB178) <=> (~((~v184(constB178)) | (~v159(constB178))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37166, 108])).
% 9.70/7.33 tff(37168,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37169,plain,
% 9.70/7.33 (v184(constB178) <=> (~((~v39(constB178)) | (~v9(constB178))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37168, 120])).
% 9.70/7.33 tff(37170,plain,
% 9.70/7.33 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB178)) <=> v1(constB178))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37171,plain,
% 9.70/7.33 ((~v39(constB178)) <=> v1(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37170, 129])).
% 9.70/7.33 tff(37172,plain,
% 9.70/7.33 ((~((~v39(constB178)) <=> v1(constB178))) | (~v39(constB178)) | (~v1(constB178))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37173,plain,
% 9.70/7.33 ((~((~v39(constB178)) <=> v1(constB178))) | (~v39(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37172, 1478])).
% 9.70/7.33 tff(37174,plain,
% 9.70/7.33 (~v39(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37173, 37171])).
% 9.70/7.33 tff(37175,plain,
% 9.70/7.33 (((~v39(constB178)) | (~v9(constB178))) | v39(constB178)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37176,plain,
% 9.70/7.33 ((~v39(constB178)) | (~v9(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37175, 37174])).
% 9.70/7.33 tff(37177,plain,
% 9.70/7.33 ((~(v184(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))) | (~v184(constB178)) | (~((~v39(constB178)) | (~v9(constB178))))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37178,plain,
% 9.70/7.33 ((~(v184(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))) | (~v184(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37177, 37176])).
% 9.70/7.33 tff(37179,plain,
% 9.70/7.33 (~v184(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37178, 37169])).
% 9.70/7.33 tff(37180,plain,
% 9.70/7.33 (((~v184(constB178)) | (~v159(constB178))) | v184(constB178)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37181,plain,
% 9.70/7.33 ((~v184(constB178)) | (~v159(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37180, 37179])).
% 9.70/7.33 tff(37182,plain,
% 9.70/7.33 ((~(v187(constB178) <=> (~((~v184(constB178)) | (~v159(constB178)))))) | (~v187(constB178)) | (~((~v184(constB178)) | (~v159(constB178))))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37183,plain,
% 9.70/7.33 ((~(v187(constB178) <=> (~((~v184(constB178)) | (~v159(constB178)))))) | (~v187(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37182, 37181])).
% 9.70/7.33 tff(37184,plain,
% 9.70/7.33 (~v187(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37183, 37167])).
% 9.70/7.33 tff(37185,plain,
% 9.70/7.33 (((~v186(constB178)) | (~v187(constB178))) | v187(constB178)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37186,plain,
% 9.70/7.33 ((~v186(constB178)) | (~v187(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37185, 37184])).
% 9.70/7.33 tff(37187,plain,
% 9.70/7.33 ((~(v185(constB178) <=> (~((~v186(constB178)) | (~v187(constB178)))))) | (~v185(constB178)) | (~((~v186(constB178)) | (~v187(constB178))))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37188,plain,
% 9.70/7.33 (~v185(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37187, 37186, 37165])).
% 9.70/7.33 tff(37189,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178))))))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37190,plain,
% 9.70/7.33 ((v181(constB178) <=> (~((~v182(constB178)) | (~v157(constB178))))) <=> (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178)))))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37191,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v182(constB178)) | (~v157(constB178)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178))))))),
% 9.70/7.33 inference(monotonicity,[status(thm)],[37190])).
% 9.70/7.33 tff(37192,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v182(constB178)) | (~v157(constB178)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178))))))),
% 9.70/7.33 inference(transitivity,[status(thm)],[37191, 37189])).
% 9.70/7.33 tff(37193,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v182(constB178)) | (~v157(constB178)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37194,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178)))))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37193, 37192])).
% 9.70/7.33 tff(37195,plain,
% 9.70/7.33 (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37194, 161])).
% 9.70/7.33 tff(37196,plain,
% 9.70/7.33 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB178) <=> v180(constB178))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37197,plain,
% 9.70/7.33 (v157(constB178) <=> v180(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37196, 13])).
% 9.70/7.33 tff(37198,plain,
% 9.70/7.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB177, constB178)) | (v180(constB178) <=> v178(constB177)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB177, constB178)) | (v180(constB178) <=> v178(constB177)))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37199,plain,
% 9.70/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB177, constB178)) | (v180(constB178) <=> v178(constB177)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37200,plain,
% 9.70/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB177, constB178)) | (v180(constB178) <=> v178(constB177))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37199, 37198])).
% 9.70/7.33 tff(37201,plain,
% 9.70/7.33 (v180(constB178) <=> v178(constB177)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37200, 1448, 70])).
% 9.70/7.33 tff(37202,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB177) <=> (v181(constB177) | v185(constB177)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37203,plain,
% 9.70/7.33 (v178(constB177) <=> (v181(constB177) | v185(constB177))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37202, 84])).
% 9.70/7.33 tff(37204,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177))))))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37205,plain,
% 9.70/7.33 ((v181(constB177) <=> (~((~v182(constB177)) | (~v157(constB177))))) <=> (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177)))))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37206,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v182(constB177)) | (~v157(constB177)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177))))))),
% 9.70/7.33 inference(monotonicity,[status(thm)],[37205])).
% 9.70/7.33 tff(37207,plain,
% 9.70/7.33 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v182(constB177)) | (~v157(constB177)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177))))))),
% 9.70/7.33 inference(transitivity,[status(thm)],[37206, 37204])).
% 9.70/7.33 tff(37208,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v182(constB177)) | (~v157(constB177)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37209,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177)))))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37208, 37207])).
% 9.70/7.33 tff(37210,plain,
% 9.70/7.33 (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37209, 161])).
% 9.70/7.33 tff(37211,plain,
% 9.70/7.33 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB177)) <=> v183(constB177))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37212,plain,
% 9.70/7.33 ((~v182(constB177)) <=> v183(constB177)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37211, 193])).
% 9.70/7.33 tff(37213,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB177) <=> (v184(constB177) | v26(constB177)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37214,plain,
% 9.70/7.33 (v183(constB177) <=> (v184(constB177) | v26(constB177))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37213, 202])).
% 9.70/7.33 tff(37215,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB177) <=> (~((~v39(constB177)) | (~v9(constB177)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37216,plain,
% 9.70/7.33 (v184(constB177) <=> (~((~v39(constB177)) | (~v9(constB177))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37215, 120])).
% 9.70/7.33 tff(37217,plain,
% 9.70/7.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))),
% 9.70/7.33 inference(rewrite,[status(thm)],[])).
% 9.70/7.33 tff(37218,plain,
% 9.70/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37219,plain,
% 9.70/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177))),
% 9.70/7.33 inference(modus_ponens,[status(thm)],[37218, 37217])).
% 9.70/7.33 tff(37220,plain,
% 9.70/7.33 (v13(constB178) <=> v9(constB177)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37219, 1448, 216])).
% 9.70/7.33 tff(37221,plain,
% 9.70/7.33 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB178) <=> v13(constB178))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37222,plain,
% 9.70/7.33 (v6(constB178) <=> v13(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37221, 230])).
% 9.70/7.33 tff(37223,plain,
% 9.70/7.33 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB178)) <=> v6(constB178))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37224,plain,
% 9.70/7.33 ((~v21(constB178)) <=> v6(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37223, 239])).
% 9.70/7.33 tff(37225,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB178) <=> (v20(constB178) | v21(constB178)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37226,plain,
% 9.70/7.33 (v19(constB178) <=> (v20(constB178) | v21(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37225, 248])).
% 9.70/7.33 tff(37227,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178)))))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37228,plain,
% 9.70/7.33 (v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178))))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37227, 260])).
% 9.70/7.33 tff(37229,plain,
% 9.70/7.33 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB178)) <=> v18(constB178))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37230,plain,
% 9.70/7.33 ((~v4(constB178)) <=> v18(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37229, 269])).
% 9.70/7.33 tff(37231,plain,
% 9.70/7.33 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB178)),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37232,plain,
% 9.70/7.33 (v4(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37231, 278])).
% 9.70/7.33 tff(37233,plain,
% 9.70/7.33 ((~((~v4(constB178)) <=> v18(constB178))) | (~v4(constB178)) | (~v18(constB178))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37234,plain,
% 9.70/7.33 (~v18(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37233, 37232, 37230])).
% 9.70/7.33 tff(37235,plain,
% 9.70/7.33 ((~(v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178)))))) | v18(constB178) | ((~v19(constB178)) | (~v22(constB178)))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37236,plain,
% 9.70/7.33 ((~v19(constB178)) | (~v22(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37235, 37234, 37228])).
% 9.70/7.33 tff(37237,plain,
% 9.70/7.33 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB178) <=> (v1(constB178) | v6(constB178)))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37238,plain,
% 9.70/7.33 (v22(constB178) <=> (v1(constB178) | v6(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37237, 291])).
% 9.70/7.33 tff(37239,plain,
% 9.70/7.33 ((v1(constB178) | v6(constB178)) | (~v1(constB178))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37240,plain,
% 9.70/7.33 (v1(constB178) | v6(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37239, 1478])).
% 9.70/7.33 tff(37241,plain,
% 9.70/7.33 ((~(v22(constB178) <=> (v1(constB178) | v6(constB178)))) | v22(constB178) | (~(v1(constB178) | v6(constB178)))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37242,plain,
% 9.70/7.33 ((~(v22(constB178) <=> (v1(constB178) | v6(constB178)))) | v22(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37241, 37240])).
% 9.70/7.33 tff(37243,plain,
% 9.70/7.33 (v22(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37242, 37238])).
% 9.70/7.33 tff(37244,plain,
% 9.70/7.33 ((~((~v19(constB178)) | (~v22(constB178)))) | (~v19(constB178)) | (~v22(constB178))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37245,plain,
% 9.70/7.33 ((~((~v19(constB178)) | (~v22(constB178)))) | (~v19(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37244, 37243])).
% 9.70/7.33 tff(37246,plain,
% 9.70/7.33 (~v19(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37245, 37236])).
% 9.70/7.33 tff(37247,plain,
% 9.70/7.33 ((~(v19(constB178) <=> (v20(constB178) | v21(constB178)))) | v19(constB178) | (~(v20(constB178) | v21(constB178)))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37248,plain,
% 9.70/7.33 (~(v20(constB178) | v21(constB178))),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37247, 37246, 37226])).
% 9.70/7.33 tff(37249,plain,
% 9.70/7.33 ((v20(constB178) | v21(constB178)) | (~v21(constB178))),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37250,plain,
% 9.70/7.33 (~v21(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37249, 37248])).
% 9.70/7.33 tff(37251,plain,
% 9.70/7.33 ((~((~v21(constB178)) <=> v6(constB178))) | v21(constB178) | v6(constB178)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37252,plain,
% 9.70/7.33 (v6(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37251, 37250, 37224])).
% 9.70/7.33 tff(37253,plain,
% 9.70/7.33 ((~(v6(constB178) <=> v13(constB178))) | (~v6(constB178)) | v13(constB178)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37254,plain,
% 9.70/7.33 (v13(constB178)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37253, 37252, 37222])).
% 9.70/7.33 tff(37255,plain,
% 9.70/7.33 ((~(v13(constB178) <=> v9(constB177))) | (~v13(constB178)) | v9(constB177)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37256,plain,
% 9.70/7.33 (v9(constB177)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37255, 37254, 37220])).
% 9.70/7.33 tff(37257,plain,
% 9.70/7.33 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB177)) <=> v1(constB177))),
% 9.70/7.33 inference(quant_inst,[status(thm)],[])).
% 9.70/7.33 tff(37258,plain,
% 9.70/7.33 ((~v39(constB177)) <=> v1(constB177)),
% 9.70/7.33 inference(unit_resolution,[status(thm)],[37257, 129])).
% 9.70/7.33 tff(37259,plain,
% 9.70/7.33 ((~((~v39(constB177)) <=> v1(constB177))) | v39(constB177) | v1(constB177)),
% 9.70/7.33 inference(tautology,[status(thm)],[])).
% 9.70/7.33 tff(37260,plain,
% 9.76/7.34 ((~((~v39(constB177)) <=> v1(constB177))) | v39(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37259, 1470])).
% 9.76/7.34 tff(37261,plain,
% 9.76/7.34 (v39(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37260, 37258])).
% 9.76/7.34 tff(37262,plain,
% 9.76/7.34 ((~((~v39(constB177)) | (~v9(constB177)))) | (~v39(constB177)) | (~v9(constB177))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37263,plain,
% 9.76/7.34 ((~((~v39(constB177)) | (~v9(constB177)))) | (~v9(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37262, 37261])).
% 9.76/7.34 tff(37264,plain,
% 9.76/7.34 (~((~v39(constB177)) | (~v9(constB177)))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37263, 37256])).
% 9.76/7.34 tff(37265,plain,
% 9.76/7.34 ((~(v184(constB177) <=> (~((~v39(constB177)) | (~v9(constB177)))))) | v184(constB177) | ((~v39(constB177)) | (~v9(constB177)))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37266,plain,
% 9.76/7.34 (v184(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37265, 37264, 37216])).
% 9.76/7.34 tff(37267,plain,
% 9.76/7.34 ((v184(constB177) | v26(constB177)) | (~v184(constB177))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37268,plain,
% 9.76/7.34 (v184(constB177) | v26(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37267, 37266])).
% 9.76/7.34 tff(37269,plain,
% 9.76/7.34 ((~(v183(constB177) <=> (v184(constB177) | v26(constB177)))) | v183(constB177) | (~(v184(constB177) | v26(constB177)))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37270,plain,
% 9.76/7.34 (v183(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37269, 37268, 37214])).
% 9.76/7.34 tff(37271,plain,
% 9.76/7.34 ((~((~v182(constB177)) <=> v183(constB177))) | (~v182(constB177)) | (~v183(constB177))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37272,plain,
% 9.76/7.34 (~v182(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37271, 37270, 37212])).
% 9.76/7.34 tff(37273,plain,
% 9.76/7.34 (((~v157(constB177)) | (~v182(constB177))) | v182(constB177)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37274,plain,
% 9.76/7.34 ((~v157(constB177)) | (~v182(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37273, 37272])).
% 9.76/7.34 tff(37275,plain,
% 9.76/7.34 ((~(v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177)))))) | (~v181(constB177)) | (~((~v157(constB177)) | (~v182(constB177))))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37276,plain,
% 9.76/7.34 (~v181(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37275, 37274, 37210])).
% 9.76/7.34 tff(37277,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB177) <=> (~((~v186(constB177)) | (~v187(constB177)))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37278,plain,
% 9.76/7.34 (v185(constB177) <=> (~((~v186(constB177)) | (~v187(constB177))))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37277, 96])).
% 9.76/7.34 tff(37279,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB177) <=> (~((~v184(constB177)) | (~v159(constB177)))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37280,plain,
% 9.76/7.34 (v187(constB177) <=> (~((~v184(constB177)) | (~v159(constB177))))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37279, 108])).
% 9.76/7.34 tff(37281,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB177) <=> v161(constB177))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37282,plain,
% 9.76/7.34 (v159(constB177) <=> v161(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37281, 345])).
% 9.76/7.34 tff(37283,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37284,plain,
% 9.76/7.34 (v139(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2)))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37283, 360])).
% 9.76/7.34 tff(37285,plain,
% 9.76/7.34 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB177, bitIndex2) <=> v90(constB177, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB177, bitIndex2) <=> v90(constB177, bitIndex2)))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37286,plain,
% 9.76/7.34 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB177, bitIndex2) <=> v90(constB177, bitIndex2)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37287,plain,
% 9.76/7.34 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB177, bitIndex2) <=> v90(constB177, bitIndex2))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37286, 37285])).
% 9.76/7.34 tff(37288,plain,
% 9.76/7.34 (v88(constB177, bitIndex2) <=> v90(constB177, bitIndex2)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37287, 648, 372])).
% 9.76/7.34 tff(37289,plain,
% 9.76/7.34 ((~(v88(constB177, bitIndex2) <=> v90(constB177, bitIndex2))) | v88(constB177, bitIndex2) | (~v90(constB177, bitIndex2))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37290,plain,
% 9.76/7.34 (v88(constB177, bitIndex2)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37289, 24136, 37288])).
% 9.76/7.34 tff(37291,plain,
% 9.76/7.34 ((v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2)) | (~v88(constB177, bitIndex2))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37292,plain,
% 9.76/7.34 (v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37291, 37290])).
% 9.76/7.34 tff(37293,plain,
% 9.76/7.34 ((~(v139(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2))))) | (~v139(constB177)) | (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2)))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37294,plain,
% 9.76/7.34 (~v139(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37293, 37292, 37284])).
% 9.76/7.34 tff(37295,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0))))))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37296,plain,
% 9.76/7.34 ((v140(constB177) <=> (~(v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0))))) <=> (v140(constB177) <=> (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0)))))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37297,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0))))))),
% 9.76/7.34 inference(monotonicity,[status(thm)],[37296])).
% 9.76/7.34 tff(37298,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0))))))),
% 9.76/7.34 inference(transitivity,[status(thm)],[37297, 37295])).
% 9.76/7.34 tff(37299,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0)))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37300,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0)))))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37299, 37298])).
% 9.76/7.34 tff(37301,plain,
% 9.76/7.34 (v140(constB177) <=> (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0))))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37300, 25795])).
% 9.76/7.34 tff(37302,plain,
% 9.76/7.34 ((v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0))) | (~v88(constB177, bitIndex2))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37303,plain,
% 9.76/7.34 (v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37302, 37290])).
% 9.76/7.34 tff(37304,plain,
% 9.76/7.34 ((~(v140(constB177) <=> (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0)))))) | (~v140(constB177)) | (~(v88(constB177, bitIndex2) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex0))))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37305,plain,
% 9.76/7.34 (~v140(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37304, 37303, 37301])).
% 9.76/7.34 tff(37306,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB177) | v139(constB177) | (~v168(constB177)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB177) | v139(constB177) | (~v168(constB177)))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37307,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB177) | v139(constB177) | (~v168(constB177)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37308,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB177) | v139(constB177) | (~v168(constB177))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37307, 37306])).
% 9.76/7.34 tff(37309,plain,
% 9.76/7.34 (v140(constB177) | v139(constB177) | (~v168(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37308, 25819])).
% 9.76/7.34 tff(37310,plain,
% 9.76/7.34 (~v168(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37309, 37305, 37294])).
% 9.76/7.34 tff(37311,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB177) <=> (v145(constB177) | v165(constB177)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37312,plain,
% 9.76/7.34 (v164(constB177) <=> (v145(constB177) | v165(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37311, 25834])).
% 9.76/7.34 tff(37313,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB177) <=> (v146(constB177) | v147(constB177)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37314,plain,
% 9.76/7.34 (v145(constB177) <=> (v146(constB177) | v147(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37313, 27691])).
% 9.76/7.34 tff(37315,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0)))))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37316,plain,
% 9.76/7.34 ((v146(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2))))) <=> (v146(constB177) <=> (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0))))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37317,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0)))))),
% 9.76/7.34 inference(monotonicity,[status(thm)],[37316])).
% 9.76/7.34 tff(37318,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0)))))),
% 9.76/7.34 inference(transitivity,[status(thm)],[37317, 37315])).
% 9.76/7.34 tff(37319,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37320,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0))))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37319, 37318])).
% 9.76/7.34 tff(37321,plain,
% 9.76/7.34 (v146(constB177) <=> (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0)))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37320, 27706])).
% 9.76/7.34 tff(37322,plain,
% 9.76/7.34 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB177, bitIndex0) <=> v90(constB177, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB177, bitIndex0) <=> v90(constB177, bitIndex0)))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37323,plain,
% 9.76/7.34 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB177, bitIndex0) <=> v90(constB177, bitIndex0)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37324,plain,
% 9.76/7.34 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB177, bitIndex0) <=> v90(constB177, bitIndex0))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37323, 37322])).
% 9.76/7.34 tff(37325,plain,
% 9.76/7.34 (v88(constB177, bitIndex0) <=> v90(constB177, bitIndex0)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37324, 9653, 372])).
% 9.76/7.34 tff(37326,plain,
% 9.76/7.34 ((~(v88(constB177, bitIndex0) <=> v90(constB177, bitIndex0))) | (~v88(constB177, bitIndex0)) | v90(constB177, bitIndex0)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37327,plain,
% 9.76/7.34 (~v88(constB177, bitIndex0)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37326, 24167, 37325])).
% 9.76/7.34 tff(37328,plain,
% 9.76/7.34 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB177, bitIndex1) <=> v90(constB177, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB177, bitIndex1) <=> v90(constB177, bitIndex1)))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37329,plain,
% 9.76/7.34 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB177, bitIndex1) <=> v90(constB177, bitIndex1)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37330,plain,
% 9.76/7.34 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB177, bitIndex1) <=> v90(constB177, bitIndex1))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37329, 37328])).
% 9.76/7.34 tff(37331,plain,
% 9.76/7.34 (v88(constB177, bitIndex1) <=> v90(constB177, bitIndex1)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37330, 375, 372])).
% 9.76/7.34 tff(37332,plain,
% 9.76/7.34 ((~(v88(constB177, bitIndex1) <=> v90(constB177, bitIndex1))) | (~v88(constB177, bitIndex1)) | v90(constB177, bitIndex1)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37333,plain,
% 9.76/7.34 (~v88(constB177, bitIndex1)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37332, 24198, 37331])).
% 9.76/7.34 tff(37334,plain,
% 9.76/7.34 ((~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0))) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37335,plain,
% 9.76/7.34 (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37334, 37333, 37327, 37290])).
% 9.76/7.34 tff(37336,plain,
% 9.76/7.34 ((~(v146(constB177) <=> (~((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0))))) | v146(constB177) | ((~v88(constB177, bitIndex2)) | v88(constB177, bitIndex1) | v88(constB177, bitIndex0))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37337,plain,
% 9.76/7.34 (v146(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37336, 37335, 37321])).
% 9.76/7.34 tff(37338,plain,
% 9.76/7.34 ((v146(constB177) | v147(constB177)) | (~v146(constB177))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37339,plain,
% 9.76/7.34 (v146(constB177) | v147(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37338, 37337])).
% 9.76/7.34 tff(37340,plain,
% 9.76/7.34 ((~(v145(constB177) <=> (v146(constB177) | v147(constB177)))) | v145(constB177) | (~(v146(constB177) | v147(constB177)))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37341,plain,
% 9.76/7.34 (v145(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37340, 37339, 37314])).
% 9.76/7.34 tff(37342,plain,
% 9.76/7.34 ((v145(constB177) | v165(constB177)) | (~v145(constB177))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37343,plain,
% 9.76/7.34 (v145(constB177) | v165(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37342, 37341])).
% 9.76/7.34 tff(37344,plain,
% 9.76/7.34 ((~(v164(constB177) <=> (v145(constB177) | v165(constB177)))) | v164(constB177) | (~(v145(constB177) | v165(constB177)))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37345,plain,
% 9.76/7.34 (v164(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37344, 37343, 37312])).
% 9.76/7.34 tff(37346,plain,
% 9.76/7.34 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB177)) | (v161(constB177) <=> v168(constB177)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB177)) | (v161(constB177) <=> v168(constB177)))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37347,plain,
% 9.76/7.34 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB177)) | (v161(constB177) <=> v168(constB177)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37348,plain,
% 9.76/7.34 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB177)) | (v161(constB177) <=> v168(constB177))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37347, 37346])).
% 9.76/7.34 tff(37349,plain,
% 9.76/7.34 ((~v164(constB177)) | (v161(constB177) <=> v168(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37348, 25977])).
% 9.76/7.34 tff(37350,plain,
% 9.76/7.34 (v161(constB177) <=> v168(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37349, 37345])).
% 9.76/7.34 tff(37351,plain,
% 9.76/7.34 ((~(v161(constB177) <=> v168(constB177))) | (~v161(constB177)) | v168(constB177)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37352,plain,
% 9.76/7.34 (~v161(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37351, 37350, 37310])).
% 9.76/7.34 tff(37353,plain,
% 9.76/7.34 ((~(v159(constB177) <=> v161(constB177))) | (~v159(constB177)) | v161(constB177)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37354,plain,
% 9.76/7.34 ((~(v159(constB177) <=> v161(constB177))) | (~v159(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37353, 37352])).
% 9.76/7.34 tff(37355,plain,
% 9.76/7.34 (~v159(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37354, 37282])).
% 9.76/7.34 tff(37356,plain,
% 9.76/7.34 (((~v184(constB177)) | (~v159(constB177))) | v159(constB177)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37357,plain,
% 9.76/7.34 ((~v184(constB177)) | (~v159(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37356, 37355])).
% 9.76/7.34 tff(37358,plain,
% 9.76/7.34 ((~(v187(constB177) <=> (~((~v184(constB177)) | (~v159(constB177)))))) | (~v187(constB177)) | (~((~v184(constB177)) | (~v159(constB177))))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37359,plain,
% 9.76/7.34 (~v187(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37358, 37357, 37280])).
% 9.76/7.34 tff(37360,plain,
% 9.76/7.34 (((~v186(constB177)) | (~v187(constB177))) | v187(constB177)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37361,plain,
% 9.76/7.34 ((~v186(constB177)) | (~v187(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37360, 37359])).
% 9.76/7.34 tff(37362,plain,
% 9.76/7.34 ((~(v185(constB177) <=> (~((~v186(constB177)) | (~v187(constB177)))))) | (~v185(constB177)) | (~((~v186(constB177)) | (~v187(constB177))))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37363,plain,
% 9.76/7.34 (~v185(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37362, 37361, 37278])).
% 9.76/7.34 tff(37364,plain,
% 9.76/7.34 ((~(v181(constB177) | v185(constB177))) | v181(constB177) | v185(constB177)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37365,plain,
% 9.76/7.34 (~(v181(constB177) | v185(constB177))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37364, 37363, 37276])).
% 9.76/7.34 tff(37366,plain,
% 9.76/7.34 ((~(v178(constB177) <=> (v181(constB177) | v185(constB177)))) | (~v178(constB177)) | (v181(constB177) | v185(constB177))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37367,plain,
% 9.76/7.34 (~v178(constB177)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37366, 37365, 37203])).
% 9.76/7.34 tff(37368,plain,
% 9.76/7.34 ((~(v180(constB178) <=> v178(constB177))) | (~v180(constB178)) | v178(constB177)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37369,plain,
% 9.76/7.34 (~v180(constB178)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37368, 37367, 37201])).
% 9.76/7.34 tff(37370,plain,
% 9.76/7.34 ((~(v157(constB178) <=> v180(constB178))) | (~v157(constB178)) | v180(constB178)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37371,plain,
% 9.76/7.34 (~v157(constB178)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37370, 37369, 37197])).
% 9.76/7.34 tff(37372,plain,
% 9.76/7.34 (((~v157(constB178)) | (~v182(constB178))) | v157(constB178)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37373,plain,
% 9.76/7.34 ((~v157(constB178)) | (~v182(constB178))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37372, 37371])).
% 9.76/7.34 tff(37374,plain,
% 9.76/7.34 ((~(v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178)))))) | (~v181(constB178)) | (~((~v157(constB178)) | (~v182(constB178))))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37375,plain,
% 9.76/7.34 (~v181(constB178)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37374, 37373, 37195])).
% 9.76/7.34 tff(37376,plain,
% 9.76/7.34 ((~(v181(constB178) | v185(constB178))) | v181(constB178) | v185(constB178)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37377,plain,
% 9.76/7.34 (~(v181(constB178) | v185(constB178))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37376, 37375, 37188])).
% 9.76/7.34 tff(37378,plain,
% 9.76/7.34 ((~(v178(constB178) <=> (v181(constB178) | v185(constB178)))) | (~v178(constB178)) | (v181(constB178) | v185(constB178))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37379,plain,
% 9.76/7.34 (~v178(constB178)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37378, 37377, 37163])).
% 9.76/7.34 tff(37380,plain,
% 9.76/7.34 ((~(v180(constB179) <=> v178(constB178))) | (~v180(constB179)) | v178(constB178)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37381,plain,
% 9.76/7.34 (~v180(constB179)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37380, 37379, 37161])).
% 9.76/7.34 tff(37382,plain,
% 9.76/7.34 ($false),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37381, 37157])).
% 9.76/7.34 tff(37383,plain,(~(constB179 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.76/7.34 tff(37384,assumption,(constB197 = VarCurr!0), introduced(assumption)).
% 9.76/7.34 tff(37385,plain,
% 9.76/7.34 (v86(constB197) <=> v86(VarCurr!0)),
% 9.76/7.34 inference(monotonicity,[status(thm)],[37384])).
% 9.76/7.34 tff(37386,plain,
% 9.76/7.34 (v86(VarCurr!0) <=> v86(constB197)),
% 9.76/7.34 inference(symmetry,[status(thm)],[37385])).
% 9.76/7.34 tff(37387,plain,
% 9.76/7.34 ((~v86(VarCurr!0)) <=> (~v86(constB197))),
% 9.76/7.34 inference(monotonicity,[status(thm)],[37386])).
% 9.76/7.34 tff(37388,plain,
% 9.76/7.34 (~v86(constB197)),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[26079, 37387])).
% 9.76/7.34 tff(37389,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB197) | (~v142(constB197)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB197) | (~v142(constB197)))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37390,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB197) | (~v142(constB197)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37391,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB197) | (~v142(constB197))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37390, 37389])).
% 9.76/7.34 tff(37392,plain,
% 9.76/7.34 (v148(constB197) | (~v142(constB197))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37391, 26138])).
% 9.76/7.34 tff(37393,plain,
% 9.76/7.34 (v148(constB197)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37392, 25959])).
% 9.76/7.34 tff(37394,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB197) <=> (v136(constB197) | v145(constB197)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37395,plain,
% 9.76/7.34 (v135(constB197) <=> (v136(constB197) | v145(constB197))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37394, 26150])).
% 9.76/7.34 tff(37396,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB197) <=> (v137(constB197) | v142(constB197)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37397,plain,
% 9.76/7.34 (v136(constB197) <=> (v137(constB197) | v142(constB197))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37396, 26159])).
% 9.76/7.34 tff(37398,plain,
% 9.76/7.34 ((v137(constB197) | v142(constB197)) | (~v142(constB197))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37399,plain,
% 9.76/7.34 (v137(constB197) | v142(constB197)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37398, 25959])).
% 9.76/7.34 tff(37400,plain,
% 9.76/7.34 ((~(v136(constB197) <=> (v137(constB197) | v142(constB197)))) | v136(constB197) | (~(v137(constB197) | v142(constB197)))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37401,plain,
% 9.76/7.34 (v136(constB197)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37400, 37399, 37397])).
% 9.76/7.34 tff(37402,plain,
% 9.76/7.34 ((v136(constB197) | v145(constB197)) | (~v136(constB197))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37403,plain,
% 9.76/7.34 (v136(constB197) | v145(constB197)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37402, 37401])).
% 9.76/7.34 tff(37404,plain,
% 9.76/7.34 ((~(v135(constB197) <=> (v136(constB197) | v145(constB197)))) | v135(constB197) | (~(v136(constB197) | v145(constB197)))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37405,plain,
% 9.76/7.34 (v135(constB197)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37404, 37403, 37395])).
% 9.76/7.34 tff(37406,plain,
% 9.76/7.34 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB197)) | (v86(constB197) <=> v148(constB197)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB197)) | (v86(constB197) <=> v148(constB197)))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37407,plain,
% 9.76/7.34 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB197)) | (v86(constB197) <=> v148(constB197)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37408,plain,
% 9.76/7.34 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB197)) | (v86(constB197) <=> v148(constB197))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37407, 37406])).
% 9.76/7.34 tff(37409,plain,
% 9.76/7.34 ((~v135(constB197)) | (v86(constB197) <=> v148(constB197))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37408, 26179])).
% 9.76/7.34 tff(37410,plain,
% 9.76/7.34 (v86(constB197) <=> v148(constB197)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37409, 37405])).
% 9.76/7.34 tff(37411,plain,
% 9.76/7.34 ((~(v86(constB197) <=> v148(constB197))) | v86(constB197) | (~v148(constB197))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37412,plain,
% 9.76/7.34 (v86(constB197)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37411, 37410, 37393])).
% 9.76/7.34 tff(37413,plain,
% 9.76/7.34 ($false),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37412, 37388])).
% 9.76/7.34 tff(37414,plain,(~(constB197 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.76/7.34 tff(37415,assumption,(constB131 = VarCurr!0), introduced(assumption)).
% 9.76/7.34 tff(37416,plain,
% 9.76/7.34 (v180(constB131) <=> v180(VarCurr!0)),
% 9.76/7.34 inference(monotonicity,[status(thm)],[37415])).
% 9.76/7.34 tff(37417,plain,
% 9.76/7.34 (v180(VarCurr!0) <=> v180(constB131)),
% 9.76/7.34 inference(symmetry,[status(thm)],[37416])).
% 9.76/7.34 tff(37418,plain,
% 9.76/7.34 (v180(constB131)),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[59, 37417])).
% 9.76/7.34 tff(37419,plain,
% 9.76/7.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> v178(constB130)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB130, constB131)) | (v180(constB131) <=> v178(constB130)))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37420,plain,
% 9.76/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> v178(constB130)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37421,plain,
% 9.76/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB130, constB131)) | (v180(constB131) <=> v178(constB130))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37420, 37419])).
% 9.76/7.34 tff(37422,plain,
% 9.76/7.34 (v180(constB131) <=> v178(constB130)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37421, 3624, 70])).
% 9.76/7.34 tff(37423,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB130) <=> (v181(constB130) | v185(constB130)))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37424,plain,
% 9.76/7.34 (v178(constB130) <=> (v181(constB130) | v185(constB130))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37423, 84])).
% 9.76/7.34 tff(37425,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB130) <=> (~((~v186(constB130)) | (~v187(constB130)))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37426,plain,
% 9.76/7.34 (v185(constB130) <=> (~((~v186(constB130)) | (~v187(constB130))))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37425, 96])).
% 9.76/7.34 tff(37427,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB130) <=> (~((~v184(constB130)) | (~v159(constB130)))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37428,plain,
% 9.76/7.34 (v187(constB130) <=> (~((~v184(constB130)) | (~v159(constB130))))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37427, 108])).
% 9.76/7.34 tff(37429,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37430,plain,
% 9.76/7.34 (v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130))))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37429, 120])).
% 9.76/7.34 tff(37431,plain,
% 9.76/7.34 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB130)) <=> v1(constB130))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37432,plain,
% 9.76/7.34 ((~v39(constB130)) <=> v1(constB130)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37431, 129])).
% 9.76/7.34 tff(37433,plain,
% 9.76/7.34 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130)) | (~v1(constB130))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37434,plain,
% 9.76/7.34 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37433, 3686])).
% 9.76/7.34 tff(37435,plain,
% 9.76/7.34 (~v39(constB130)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37434, 37432])).
% 9.76/7.34 tff(37436,plain,
% 9.76/7.34 (((~v39(constB130)) | (~v9(constB130))) | v39(constB130)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37437,plain,
% 9.76/7.34 ((~v39(constB130)) | (~v9(constB130))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37436, 37435])).
% 9.76/7.34 tff(37438,plain,
% 9.76/7.34 ((~(v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v184(constB130)) | (~((~v39(constB130)) | (~v9(constB130))))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37439,plain,
% 9.76/7.34 ((~(v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v184(constB130))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37438, 37437])).
% 9.76/7.34 tff(37440,plain,
% 9.76/7.34 (~v184(constB130)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37439, 37430])).
% 9.76/7.34 tff(37441,plain,
% 9.76/7.34 (((~v184(constB130)) | (~v159(constB130))) | v184(constB130)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37442,plain,
% 9.76/7.34 ((~v184(constB130)) | (~v159(constB130))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37441, 37440])).
% 9.76/7.34 tff(37443,plain,
% 9.76/7.34 ((~(v187(constB130) <=> (~((~v184(constB130)) | (~v159(constB130)))))) | (~v187(constB130)) | (~((~v184(constB130)) | (~v159(constB130))))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37444,plain,
% 9.76/7.34 ((~(v187(constB130) <=> (~((~v184(constB130)) | (~v159(constB130)))))) | (~v187(constB130))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37443, 37442])).
% 9.76/7.34 tff(37445,plain,
% 9.76/7.34 (~v187(constB130)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37444, 37428])).
% 9.76/7.34 tff(37446,plain,
% 9.76/7.34 (((~v186(constB130)) | (~v187(constB130))) | v187(constB130)),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37447,plain,
% 9.76/7.34 ((~v186(constB130)) | (~v187(constB130))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37446, 37445])).
% 9.76/7.34 tff(37448,plain,
% 9.76/7.34 ((~(v185(constB130) <=> (~((~v186(constB130)) | (~v187(constB130)))))) | (~v185(constB130)) | (~((~v186(constB130)) | (~v187(constB130))))),
% 9.76/7.34 inference(tautology,[status(thm)],[])).
% 9.76/7.34 tff(37449,plain,
% 9.76/7.34 (~v185(constB130)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37448, 37447, 37426])).
% 9.76/7.34 tff(37450,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130))))))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37451,plain,
% 9.76/7.34 ((v181(constB130) <=> (~((~v182(constB130)) | (~v157(constB130))))) <=> (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130)))))),
% 9.76/7.34 inference(rewrite,[status(thm)],[])).
% 9.76/7.34 tff(37452,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v182(constB130)) | (~v157(constB130)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130))))))),
% 9.76/7.34 inference(monotonicity,[status(thm)],[37451])).
% 9.76/7.34 tff(37453,plain,
% 9.76/7.34 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v182(constB130)) | (~v157(constB130)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130))))))),
% 9.76/7.34 inference(transitivity,[status(thm)],[37452, 37450])).
% 9.76/7.34 tff(37454,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v182(constB130)) | (~v157(constB130)))))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37455,plain,
% 9.76/7.34 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130)))))),
% 9.76/7.34 inference(modus_ponens,[status(thm)],[37454, 37453])).
% 9.76/7.34 tff(37456,plain,
% 9.76/7.34 (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130))))),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37455, 161])).
% 9.76/7.34 tff(37457,plain,
% 9.76/7.34 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB130) <=> v180(constB130))),
% 9.76/7.34 inference(quant_inst,[status(thm)],[])).
% 9.76/7.34 tff(37458,plain,
% 9.76/7.34 (v157(constB130) <=> v180(constB130)),
% 9.76/7.34 inference(unit_resolution,[status(thm)],[37457, 13])).
% 9.76/7.34 tff(37459,plain,
% 9.76/7.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> v178(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB129, constB130)) | (v180(constB130) <=> v178(constB129)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37460,plain,
% 9.76/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> v178(constB129)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37461,plain,
% 9.76/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB129, constB130)) | (v180(constB130) <=> v178(constB129))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37460, 37459])).
% 9.76/7.35 tff(37462,plain,
% 9.76/7.35 (v180(constB130) <=> v178(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37461, 3656, 70])).
% 9.76/7.35 tff(37463,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB129) <=> (v181(constB129) | v185(constB129)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37464,plain,
% 9.76/7.35 (v178(constB129) <=> (v181(constB129) | v185(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37463, 84])).
% 9.76/7.35 tff(37465,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129))))))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37466,plain,
% 9.76/7.35 ((v181(constB129) <=> (~((~v182(constB129)) | (~v157(constB129))))) <=> (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129)))))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37467,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v182(constB129)) | (~v157(constB129)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129))))))),
% 9.76/7.35 inference(monotonicity,[status(thm)],[37466])).
% 9.76/7.35 tff(37468,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v182(constB129)) | (~v157(constB129)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129))))))),
% 9.76/7.35 inference(transitivity,[status(thm)],[37467, 37465])).
% 9.76/7.35 tff(37469,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v182(constB129)) | (~v157(constB129)))))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37470,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129)))))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37469, 37468])).
% 9.76/7.35 tff(37471,plain,
% 9.76/7.35 (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129))))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37470, 161])).
% 9.76/7.35 tff(37472,plain,
% 9.76/7.35 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB129)) <=> v183(constB129))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37473,plain,
% 9.76/7.35 ((~v182(constB129)) <=> v183(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37472, 193])).
% 9.76/7.35 tff(37474,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB129) <=> (v184(constB129) | v26(constB129)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37475,plain,
% 9.76/7.35 (v183(constB129) <=> (v184(constB129) | v26(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37474, 202])).
% 9.76/7.35 tff(37476,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB129) <=> (~((~v39(constB129)) | (~v9(constB129)))))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37477,plain,
% 9.76/7.35 (v184(constB129) <=> (~((~v39(constB129)) | (~v9(constB129))))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37476, 120])).
% 9.76/7.35 tff(37478,plain,
% 9.76/7.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37479,plain,
% 9.76/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37480,plain,
% 9.76/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37479, 37478])).
% 9.76/7.35 tff(37481,plain,
% 9.76/7.35 (v13(constB130) <=> v9(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37480, 3656, 216])).
% 9.76/7.35 tff(37482,plain,
% 9.76/7.35 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB130) <=> v13(constB130))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37483,plain,
% 9.76/7.35 (v6(constB130) <=> v13(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37482, 230])).
% 9.76/7.35 tff(37484,plain,
% 9.76/7.35 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB130)) <=> v6(constB130))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37485,plain,
% 9.76/7.35 ((~v21(constB130)) <=> v6(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37484, 239])).
% 9.76/7.35 tff(37486,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB130) <=> (v20(constB130) | v21(constB130)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37487,plain,
% 9.76/7.35 (v19(constB130) <=> (v20(constB130) | v21(constB130))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37486, 248])).
% 9.76/7.35 tff(37488,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130)))))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37489,plain,
% 9.76/7.35 (v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130))))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37488, 260])).
% 9.76/7.35 tff(37490,plain,
% 9.76/7.35 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB130)) <=> v18(constB130))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37491,plain,
% 9.76/7.35 ((~v4(constB130)) <=> v18(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37490, 269])).
% 9.76/7.35 tff(37492,plain,
% 9.76/7.35 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB130)),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37493,plain,
% 9.76/7.35 (v4(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37492, 278])).
% 9.76/7.35 tff(37494,plain,
% 9.76/7.35 ((~((~v4(constB130)) <=> v18(constB130))) | (~v4(constB130)) | (~v18(constB130))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37495,plain,
% 9.76/7.35 (~v18(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37494, 37493, 37491])).
% 9.76/7.35 tff(37496,plain,
% 9.76/7.35 ((~(v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130)))))) | v18(constB130) | ((~v19(constB130)) | (~v22(constB130)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37497,plain,
% 9.76/7.35 ((~v19(constB130)) | (~v22(constB130))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37496, 37495, 37489])).
% 9.76/7.35 tff(37498,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB130) <=> (v1(constB130) | v6(constB130)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37499,plain,
% 9.76/7.35 (v22(constB130) <=> (v1(constB130) | v6(constB130))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37498, 291])).
% 9.76/7.35 tff(37500,plain,
% 9.76/7.35 ((v1(constB130) | v6(constB130)) | (~v1(constB130))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37501,plain,
% 9.76/7.35 (v1(constB130) | v6(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37500, 3686])).
% 9.76/7.35 tff(37502,plain,
% 9.76/7.35 ((~(v22(constB130) <=> (v1(constB130) | v6(constB130)))) | v22(constB130) | (~(v1(constB130) | v6(constB130)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37503,plain,
% 9.76/7.35 ((~(v22(constB130) <=> (v1(constB130) | v6(constB130)))) | v22(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37502, 37501])).
% 9.76/7.35 tff(37504,plain,
% 9.76/7.35 (v22(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37503, 37499])).
% 9.76/7.35 tff(37505,plain,
% 9.76/7.35 ((~((~v19(constB130)) | (~v22(constB130)))) | (~v19(constB130)) | (~v22(constB130))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37506,plain,
% 9.76/7.35 ((~((~v19(constB130)) | (~v22(constB130)))) | (~v19(constB130))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37505, 37504])).
% 9.76/7.35 tff(37507,plain,
% 9.76/7.35 (~v19(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37506, 37497])).
% 9.76/7.35 tff(37508,plain,
% 9.76/7.35 ((~(v19(constB130) <=> (v20(constB130) | v21(constB130)))) | v19(constB130) | (~(v20(constB130) | v21(constB130)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37509,plain,
% 9.76/7.35 (~(v20(constB130) | v21(constB130))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37508, 37507, 37487])).
% 9.76/7.35 tff(37510,plain,
% 9.76/7.35 ((v20(constB130) | v21(constB130)) | (~v21(constB130))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37511,plain,
% 9.76/7.35 (~v21(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37510, 37509])).
% 9.76/7.35 tff(37512,plain,
% 9.76/7.35 ((~((~v21(constB130)) <=> v6(constB130))) | v21(constB130) | v6(constB130)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37513,plain,
% 9.76/7.35 (v6(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37512, 37511, 37485])).
% 9.76/7.35 tff(37514,plain,
% 9.76/7.35 ((~(v6(constB130) <=> v13(constB130))) | (~v6(constB130)) | v13(constB130)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37515,plain,
% 9.76/7.35 (v13(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37514, 37513, 37483])).
% 9.76/7.35 tff(37516,plain,
% 9.76/7.35 ((~(v13(constB130) <=> v9(constB129))) | (~v13(constB130)) | v9(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37517,plain,
% 9.76/7.35 (v9(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37516, 37515, 37481])).
% 9.76/7.35 tff(37518,plain,
% 9.76/7.35 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB129)) <=> v1(constB129))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37519,plain,
% 9.76/7.35 ((~v39(constB129)) <=> v1(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37518, 129])).
% 9.76/7.35 tff(37520,plain,
% 9.76/7.35 ((~((~v39(constB129)) <=> v1(constB129))) | v39(constB129) | v1(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37521,plain,
% 9.76/7.35 ((~((~v39(constB129)) <=> v1(constB129))) | v39(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37520, 3678])).
% 9.76/7.35 tff(37522,plain,
% 9.76/7.35 (v39(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37521, 37519])).
% 9.76/7.35 tff(37523,plain,
% 9.76/7.35 ((~((~v39(constB129)) | (~v9(constB129)))) | (~v39(constB129)) | (~v9(constB129))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37524,plain,
% 9.76/7.35 ((~((~v39(constB129)) | (~v9(constB129)))) | (~v9(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37523, 37522])).
% 9.76/7.35 tff(37525,plain,
% 9.76/7.35 (~((~v39(constB129)) | (~v9(constB129)))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37524, 37517])).
% 9.76/7.35 tff(37526,plain,
% 9.76/7.35 ((~(v184(constB129) <=> (~((~v39(constB129)) | (~v9(constB129)))))) | v184(constB129) | ((~v39(constB129)) | (~v9(constB129)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37527,plain,
% 9.76/7.35 (v184(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37526, 37525, 37477])).
% 9.76/7.35 tff(37528,plain,
% 9.76/7.35 ((v184(constB129) | v26(constB129)) | (~v184(constB129))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37529,plain,
% 9.76/7.35 (v184(constB129) | v26(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37528, 37527])).
% 9.76/7.35 tff(37530,plain,
% 9.76/7.35 ((~(v183(constB129) <=> (v184(constB129) | v26(constB129)))) | v183(constB129) | (~(v184(constB129) | v26(constB129)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37531,plain,
% 9.76/7.35 (v183(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37530, 37529, 37475])).
% 9.76/7.35 tff(37532,plain,
% 9.76/7.35 ((~((~v182(constB129)) <=> v183(constB129))) | (~v182(constB129)) | (~v183(constB129))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37533,plain,
% 9.76/7.35 (~v182(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37532, 37531, 37473])).
% 9.76/7.35 tff(37534,plain,
% 9.76/7.35 (((~v157(constB129)) | (~v182(constB129))) | v182(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37535,plain,
% 9.76/7.35 ((~v157(constB129)) | (~v182(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37534, 37533])).
% 9.76/7.35 tff(37536,plain,
% 9.76/7.35 ((~(v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129)))))) | (~v181(constB129)) | (~((~v157(constB129)) | (~v182(constB129))))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37537,plain,
% 9.76/7.35 (~v181(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37536, 37535, 37471])).
% 9.76/7.35 tff(37538,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB129) <=> (~((~v186(constB129)) | (~v187(constB129)))))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37539,plain,
% 9.76/7.35 (v185(constB129) <=> (~((~v186(constB129)) | (~v187(constB129))))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37538, 96])).
% 9.76/7.35 tff(37540,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB129) <=> (~((~v184(constB129)) | (~v159(constB129)))))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37541,plain,
% 9.76/7.35 (v187(constB129) <=> (~((~v184(constB129)) | (~v159(constB129))))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37540, 108])).
% 9.76/7.35 tff(37542,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB129) <=> v161(constB129))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37543,plain,
% 9.76/7.35 (v159(constB129) <=> v161(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37542, 345])).
% 9.76/7.35 tff(37544,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2))))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37545,plain,
% 9.76/7.35 (v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37544, 360])).
% 9.76/7.35 tff(37546,plain,
% 9.76/7.35 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37547,plain,
% 9.76/7.35 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37548,plain,
% 9.76/7.35 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37547, 37546])).
% 9.76/7.35 tff(37549,plain,
% 9.76/7.35 (v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37548, 648, 372])).
% 9.76/7.35 tff(37550,plain,
% 9.76/7.35 ((~(v88(constB129, bitIndex2) <=> v90(constB129, bitIndex2))) | v88(constB129, bitIndex2) | (~v90(constB129, bitIndex2))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37551,plain,
% 9.76/7.35 (v88(constB129, bitIndex2)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37550, 20232, 37549])).
% 9.76/7.35 tff(37552,plain,
% 9.76/7.35 ((v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex2))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37553,plain,
% 9.76/7.35 (v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37552, 37551])).
% 9.76/7.35 tff(37554,plain,
% 9.76/7.35 ((~(v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2))))) | (~v139(constB129)) | (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37555,plain,
% 9.76/7.35 (~v139(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37554, 37553, 37545])).
% 9.76/7.35 tff(37556,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))))))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37557,plain,
% 9.76/7.35 ((v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0))))) <=> (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0)))))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37558,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))))))),
% 9.76/7.35 inference(monotonicity,[status(thm)],[37557])).
% 9.76/7.35 tff(37559,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))))))),
% 9.76/7.35 inference(transitivity,[status(thm)],[37558, 37556])).
% 9.76/7.35 tff(37560,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0)))))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37561,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0)))))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37560, 37559])).
% 9.76/7.35 tff(37562,plain,
% 9.76/7.35 (v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37561, 25795])).
% 9.76/7.35 tff(37563,plain,
% 9.76/7.35 ((v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))) | (~v88(constB129, bitIndex2))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37564,plain,
% 9.76/7.35 (v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37563, 37551])).
% 9.76/7.35 tff(37565,plain,
% 9.76/7.35 ((~(v140(constB129) <=> (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0)))))) | (~v140(constB129)) | (~(v88(constB129, bitIndex2) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex0))))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37566,plain,
% 9.76/7.35 (~v140(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37565, 37564, 37562])).
% 9.76/7.35 tff(37567,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v168(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB129) | v139(constB129) | (~v168(constB129)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37568,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v168(constB129)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37569,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB129) | v139(constB129) | (~v168(constB129))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37568, 37567])).
% 9.76/7.35 tff(37570,plain,
% 9.76/7.35 (v140(constB129) | v139(constB129) | (~v168(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37569, 25819])).
% 9.76/7.35 tff(37571,plain,
% 9.76/7.35 (~v168(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37570, 37566, 37555])).
% 9.76/7.35 tff(37572,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB129) <=> (v145(constB129) | v165(constB129)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37573,plain,
% 9.76/7.35 (v164(constB129) <=> (v145(constB129) | v165(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37572, 25834])).
% 9.76/7.35 tff(37574,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB129) <=> (v146(constB129) | v147(constB129)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37575,plain,
% 9.76/7.35 (v145(constB129) <=> (v146(constB129) | v147(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37574, 27691])).
% 9.76/7.35 tff(37576,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0)))))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37577,plain,
% 9.76/7.35 ((v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2))))) <=> (v146(constB129) <=> (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0))))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37578,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0)))))),
% 9.76/7.35 inference(monotonicity,[status(thm)],[37577])).
% 9.76/7.35 tff(37579,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0)))))),
% 9.76/7.35 inference(transitivity,[status(thm)],[37578, 37576])).
% 9.76/7.35 tff(37580,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)))))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37581,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0))))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37580, 37579])).
% 9.76/7.35 tff(37582,plain,
% 9.76/7.35 (v146(constB129) <=> (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0)))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37581, 27706])).
% 9.76/7.35 tff(37583,plain,
% 9.76/7.35 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37584,plain,
% 9.76/7.35 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37585,plain,
% 9.76/7.35 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37584, 37583])).
% 9.76/7.35 tff(37586,plain,
% 9.76/7.35 (v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37585, 9653, 372])).
% 9.76/7.35 tff(37587,plain,
% 9.76/7.35 ((~(v88(constB129, bitIndex0) <=> v90(constB129, bitIndex0))) | (~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37588,plain,
% 9.76/7.35 (~v88(constB129, bitIndex0)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37587, 20263, 37586])).
% 9.76/7.35 tff(37589,plain,
% 9.76/7.35 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37590,plain,
% 9.76/7.35 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37591,plain,
% 9.76/7.35 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37590, 37589])).
% 9.76/7.35 tff(37592,plain,
% 9.76/7.35 (v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37591, 375, 372])).
% 9.76/7.35 tff(37593,plain,
% 9.76/7.35 ((~(v88(constB129, bitIndex1) <=> v90(constB129, bitIndex1))) | (~v88(constB129, bitIndex1)) | v90(constB129, bitIndex1)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37594,plain,
% 9.76/7.35 (~v88(constB129, bitIndex1)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37593, 20294, 37592])).
% 9.76/7.35 tff(37595,plain,
% 9.76/7.35 ((~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0))) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37596,plain,
% 9.76/7.35 (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37595, 37594, 37588, 37551])).
% 9.76/7.35 tff(37597,plain,
% 9.76/7.35 ((~(v146(constB129) <=> (~((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0))))) | v146(constB129) | ((~v88(constB129, bitIndex2)) | v88(constB129, bitIndex1) | v88(constB129, bitIndex0))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37598,plain,
% 9.76/7.35 (v146(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37597, 37596, 37582])).
% 9.76/7.35 tff(37599,plain,
% 9.76/7.35 ((v146(constB129) | v147(constB129)) | (~v146(constB129))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37600,plain,
% 9.76/7.35 (v146(constB129) | v147(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37599, 37598])).
% 9.76/7.35 tff(37601,plain,
% 9.76/7.35 ((~(v145(constB129) <=> (v146(constB129) | v147(constB129)))) | v145(constB129) | (~(v146(constB129) | v147(constB129)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37602,plain,
% 9.76/7.35 (v145(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37601, 37600, 37575])).
% 9.76/7.35 tff(37603,plain,
% 9.76/7.35 ((v145(constB129) | v165(constB129)) | (~v145(constB129))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37604,plain,
% 9.76/7.35 (v145(constB129) | v165(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37603, 37602])).
% 9.76/7.35 tff(37605,plain,
% 9.76/7.35 ((~(v164(constB129) <=> (v145(constB129) | v165(constB129)))) | v164(constB129) | (~(v145(constB129) | v165(constB129)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37606,plain,
% 9.76/7.35 (v164(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37605, 37604, 37573])).
% 9.76/7.35 tff(37607,plain,
% 9.76/7.35 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB129)) | (v161(constB129) <=> v168(constB129)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB129)) | (v161(constB129) <=> v168(constB129)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37608,plain,
% 9.76/7.35 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB129)) | (v161(constB129) <=> v168(constB129)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37609,plain,
% 9.76/7.35 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB129)) | (v161(constB129) <=> v168(constB129))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37608, 37607])).
% 9.76/7.35 tff(37610,plain,
% 9.76/7.35 ((~v164(constB129)) | (v161(constB129) <=> v168(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37609, 25977])).
% 9.76/7.35 tff(37611,plain,
% 9.76/7.35 (v161(constB129) <=> v168(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37610, 37606])).
% 9.76/7.35 tff(37612,plain,
% 9.76/7.35 ((~(v161(constB129) <=> v168(constB129))) | (~v161(constB129)) | v168(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37613,plain,
% 9.76/7.35 (~v161(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37612, 37611, 37571])).
% 9.76/7.35 tff(37614,plain,
% 9.76/7.35 ((~(v159(constB129) <=> v161(constB129))) | (~v159(constB129)) | v161(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37615,plain,
% 9.76/7.35 ((~(v159(constB129) <=> v161(constB129))) | (~v159(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37614, 37613])).
% 9.76/7.35 tff(37616,plain,
% 9.76/7.35 (~v159(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37615, 37543])).
% 9.76/7.35 tff(37617,plain,
% 9.76/7.35 (((~v184(constB129)) | (~v159(constB129))) | v159(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37618,plain,
% 9.76/7.35 ((~v184(constB129)) | (~v159(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37617, 37616])).
% 9.76/7.35 tff(37619,plain,
% 9.76/7.35 ((~(v187(constB129) <=> (~((~v184(constB129)) | (~v159(constB129)))))) | (~v187(constB129)) | (~((~v184(constB129)) | (~v159(constB129))))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37620,plain,
% 9.76/7.35 (~v187(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37619, 37618, 37541])).
% 9.76/7.35 tff(37621,plain,
% 9.76/7.35 (((~v186(constB129)) | (~v187(constB129))) | v187(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37622,plain,
% 9.76/7.35 ((~v186(constB129)) | (~v187(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37621, 37620])).
% 9.76/7.35 tff(37623,plain,
% 9.76/7.35 ((~(v185(constB129) <=> (~((~v186(constB129)) | (~v187(constB129)))))) | (~v185(constB129)) | (~((~v186(constB129)) | (~v187(constB129))))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37624,plain,
% 9.76/7.35 (~v185(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37623, 37622, 37539])).
% 9.76/7.35 tff(37625,plain,
% 9.76/7.35 ((~(v181(constB129) | v185(constB129))) | v181(constB129) | v185(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37626,plain,
% 9.76/7.35 (~(v181(constB129) | v185(constB129))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37625, 37624, 37537])).
% 9.76/7.35 tff(37627,plain,
% 9.76/7.35 ((~(v178(constB129) <=> (v181(constB129) | v185(constB129)))) | (~v178(constB129)) | (v181(constB129) | v185(constB129))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37628,plain,
% 9.76/7.35 (~v178(constB129)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37627, 37626, 37464])).
% 9.76/7.35 tff(37629,plain,
% 9.76/7.35 ((~(v180(constB130) <=> v178(constB129))) | (~v180(constB130)) | v178(constB129)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37630,plain,
% 9.76/7.35 (~v180(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37629, 37628, 37462])).
% 9.76/7.35 tff(37631,plain,
% 9.76/7.35 ((~(v157(constB130) <=> v180(constB130))) | (~v157(constB130)) | v180(constB130)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37632,plain,
% 9.76/7.35 (~v157(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37631, 37630, 37458])).
% 9.76/7.35 tff(37633,plain,
% 9.76/7.35 (((~v157(constB130)) | (~v182(constB130))) | v157(constB130)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37634,plain,
% 9.76/7.35 ((~v157(constB130)) | (~v182(constB130))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37633, 37632])).
% 9.76/7.35 tff(37635,plain,
% 9.76/7.35 ((~(v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130)))))) | (~v181(constB130)) | (~((~v157(constB130)) | (~v182(constB130))))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37636,plain,
% 9.76/7.35 (~v181(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37635, 37634, 37456])).
% 9.76/7.35 tff(37637,plain,
% 9.76/7.35 ((~(v181(constB130) | v185(constB130))) | v181(constB130) | v185(constB130)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37638,plain,
% 9.76/7.35 (~(v181(constB130) | v185(constB130))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37637, 37636, 37449])).
% 9.76/7.35 tff(37639,plain,
% 9.76/7.35 ((~(v178(constB130) <=> (v181(constB130) | v185(constB130)))) | (~v178(constB130)) | (v181(constB130) | v185(constB130))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37640,plain,
% 9.76/7.35 (~v178(constB130)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37639, 37638, 37424])).
% 9.76/7.35 tff(37641,plain,
% 9.76/7.35 ((~(v180(constB131) <=> v178(constB130))) | (~v180(constB131)) | v178(constB130)),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37642,plain,
% 9.76/7.35 (~v180(constB131)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37641, 37640, 37422])).
% 9.76/7.35 tff(37643,plain,
% 9.76/7.35 ($false),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37642, 37418])).
% 9.76/7.35 tff(37644,plain,(~(constB131 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.76/7.35 tff(37645,assumption,(constB61 = VarCurr!0), introduced(assumption)).
% 9.76/7.35 tff(37646,plain,
% 9.76/7.35 (v86(constB61) <=> v86(VarCurr!0)),
% 9.76/7.35 inference(monotonicity,[status(thm)],[37645])).
% 9.76/7.35 tff(37647,plain,
% 9.76/7.35 (v86(VarCurr!0) <=> v86(constB61)),
% 9.76/7.35 inference(symmetry,[status(thm)],[37646])).
% 9.76/7.35 tff(37648,plain,
% 9.76/7.35 ((~v86(VarCurr!0)) <=> (~v86(constB61))),
% 9.76/7.35 inference(monotonicity,[status(thm)],[37647])).
% 9.76/7.35 tff(37649,plain,
% 9.76/7.35 (~v86(constB61)),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[26079, 37648])).
% 9.76/7.35 tff(37650,plain,
% 9.76/7.35 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB61) | (~v142(constB61)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.35 tff(37651,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB61) | (~v142(constB61)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37652,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB61) | (~v142(constB61))),
% 9.76/7.35 inference(modus_ponens,[status(thm)],[37651, 37650])).
% 9.76/7.35 tff(37653,plain,
% 9.76/7.35 (v148(constB61) | (~v142(constB61))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37652, 26138])).
% 9.76/7.35 tff(37654,plain,
% 9.76/7.35 (v148(constB61)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37653, 30461])).
% 9.76/7.35 tff(37655,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB61) <=> (v136(constB61) | v145(constB61)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37656,plain,
% 9.76/7.35 (v135(constB61) <=> (v136(constB61) | v145(constB61))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37655, 26150])).
% 9.76/7.35 tff(37657,plain,
% 9.76/7.35 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB61) <=> (v137(constB61) | v142(constB61)))),
% 9.76/7.35 inference(quant_inst,[status(thm)],[])).
% 9.76/7.35 tff(37658,plain,
% 9.76/7.35 (v136(constB61) <=> (v137(constB61) | v142(constB61))),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37657, 26159])).
% 9.76/7.35 tff(37659,plain,
% 9.76/7.35 ((v137(constB61) | v142(constB61)) | (~v142(constB61))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37660,plain,
% 9.76/7.35 (v137(constB61) | v142(constB61)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37659, 30461])).
% 9.76/7.35 tff(37661,plain,
% 9.76/7.35 ((~(v136(constB61) <=> (v137(constB61) | v142(constB61)))) | v136(constB61) | (~(v137(constB61) | v142(constB61)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37662,plain,
% 9.76/7.35 (v136(constB61)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37661, 37660, 37658])).
% 9.76/7.35 tff(37663,plain,
% 9.76/7.35 ((v136(constB61) | v145(constB61)) | (~v136(constB61))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37664,plain,
% 9.76/7.35 (v136(constB61) | v145(constB61)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37663, 37662])).
% 9.76/7.35 tff(37665,plain,
% 9.76/7.35 ((~(v135(constB61) <=> (v136(constB61) | v145(constB61)))) | v135(constB61) | (~(v136(constB61) | v145(constB61)))),
% 9.76/7.35 inference(tautology,[status(thm)],[])).
% 9.76/7.35 tff(37666,plain,
% 9.76/7.35 (v135(constB61)),
% 9.76/7.35 inference(unit_resolution,[status(thm)],[37665, 37664, 37656])).
% 9.76/7.35 tff(37667,plain,
% 9.76/7.35 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB61)) | (v86(constB61) <=> v148(constB61)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB61)) | (v86(constB61) <=> v148(constB61)))),
% 9.76/7.35 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37668,plain,
% 9.76/7.36 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB61)) | (v86(constB61) <=> v148(constB61)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37669,plain,
% 9.76/7.36 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB61)) | (v86(constB61) <=> v148(constB61))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37668, 37667])).
% 9.76/7.36 tff(37670,plain,
% 9.76/7.36 ((~v135(constB61)) | (v86(constB61) <=> v148(constB61))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37669, 26179])).
% 9.76/7.36 tff(37671,plain,
% 9.76/7.36 (v86(constB61) <=> v148(constB61)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37670, 37666])).
% 9.76/7.36 tff(37672,plain,
% 9.76/7.36 ((~(v86(constB61) <=> v148(constB61))) | v86(constB61) | (~v148(constB61))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37673,plain,
% 9.76/7.36 (v86(constB61)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37672, 37671, 37654])).
% 9.76/7.36 tff(37674,plain,
% 9.76/7.36 ($false),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37673, 37649])).
% 9.76/7.36 tff(37675,plain,(~(constB61 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.76/7.36 tff(37676,assumption,(constB97 = VarCurr!0), introduced(assumption)).
% 9.76/7.36 tff(37677,plain,
% 9.76/7.36 (v86(constB97) <=> v86(VarCurr!0)),
% 9.76/7.36 inference(monotonicity,[status(thm)],[37676])).
% 9.76/7.36 tff(37678,plain,
% 9.76/7.36 (v86(VarCurr!0) <=> v86(constB97)),
% 9.76/7.36 inference(symmetry,[status(thm)],[37677])).
% 9.76/7.36 tff(37679,plain,
% 9.76/7.36 ((~v86(VarCurr!0)) <=> (~v86(constB97))),
% 9.76/7.36 inference(monotonicity,[status(thm)],[37678])).
% 9.76/7.36 tff(37680,plain,
% 9.76/7.36 (~v86(constB97)),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[26079, 37679])).
% 9.76/7.36 tff(37681,plain,
% 9.76/7.36 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB97) | (~v142(constB97)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37682,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB97) | (~v142(constB97)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37683,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB97) | (~v142(constB97))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37682, 37681])).
% 9.76/7.36 tff(37684,plain,
% 9.76/7.36 (v148(constB97) | (~v142(constB97))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37683, 26138])).
% 9.76/7.36 tff(37685,plain,
% 9.76/7.36 (v148(constB97)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37684, 29359])).
% 9.76/7.36 tff(37686,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB97) <=> (v136(constB97) | v145(constB97)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37687,plain,
% 9.76/7.36 (v135(constB97) <=> (v136(constB97) | v145(constB97))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37686, 26150])).
% 9.76/7.36 tff(37688,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB97) <=> (v137(constB97) | v142(constB97)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37689,plain,
% 9.76/7.36 (v136(constB97) <=> (v137(constB97) | v142(constB97))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37688, 26159])).
% 9.76/7.36 tff(37690,plain,
% 9.76/7.36 ((v137(constB97) | v142(constB97)) | (~v142(constB97))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37691,plain,
% 9.76/7.36 (v137(constB97) | v142(constB97)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37690, 29359])).
% 9.76/7.36 tff(37692,plain,
% 9.76/7.36 ((~(v136(constB97) <=> (v137(constB97) | v142(constB97)))) | v136(constB97) | (~(v137(constB97) | v142(constB97)))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37693,plain,
% 9.76/7.36 (v136(constB97)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37692, 37691, 37689])).
% 9.76/7.36 tff(37694,plain,
% 9.76/7.36 ((v136(constB97) | v145(constB97)) | (~v136(constB97))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37695,plain,
% 9.76/7.36 (v136(constB97) | v145(constB97)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37694, 37693])).
% 9.76/7.36 tff(37696,plain,
% 9.76/7.36 ((~(v135(constB97) <=> (v136(constB97) | v145(constB97)))) | v135(constB97) | (~(v136(constB97) | v145(constB97)))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37697,plain,
% 9.76/7.36 (v135(constB97)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37696, 37695, 37687])).
% 9.76/7.36 tff(37698,plain,
% 9.76/7.36 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB97)) | (v86(constB97) <=> v148(constB97)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB97)) | (v86(constB97) <=> v148(constB97)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37699,plain,
% 9.76/7.36 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB97)) | (v86(constB97) <=> v148(constB97)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37700,plain,
% 9.76/7.36 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB97)) | (v86(constB97) <=> v148(constB97))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37699, 37698])).
% 9.76/7.36 tff(37701,plain,
% 9.76/7.36 ((~v135(constB97)) | (v86(constB97) <=> v148(constB97))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37700, 26179])).
% 9.76/7.36 tff(37702,plain,
% 9.76/7.36 (v86(constB97) <=> v148(constB97)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37701, 37697])).
% 9.76/7.36 tff(37703,plain,
% 9.76/7.36 ((~(v86(constB97) <=> v148(constB97))) | v86(constB97) | (~v148(constB97))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37704,plain,
% 9.76/7.36 (v86(constB97)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37703, 37702, 37685])).
% 9.76/7.36 tff(37705,plain,
% 9.76/7.36 ($false),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37704, 37680])).
% 9.76/7.36 tff(37706,plain,(~(constB97 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.76/7.36 tff(37707,assumption,(constB17 = VarCurr!0), introduced(assumption)).
% 9.76/7.36 tff(37708,plain,
% 9.76/7.36 (v86(constB17) <=> v86(VarCurr!0)),
% 9.76/7.36 inference(monotonicity,[status(thm)],[37707])).
% 9.76/7.36 tff(37709,plain,
% 9.76/7.36 (v86(VarCurr!0) <=> v86(constB17)),
% 9.76/7.36 inference(symmetry,[status(thm)],[37708])).
% 9.76/7.36 tff(37710,plain,
% 9.76/7.36 ((~v86(VarCurr!0)) <=> (~v86(constB17))),
% 9.76/7.36 inference(monotonicity,[status(thm)],[37709])).
% 9.76/7.36 tff(37711,plain,
% 9.76/7.36 (~v86(constB17)),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[26079, 37710])).
% 9.76/7.36 tff(37712,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB17) <=> (v143(constB17) | v144(constB17)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37713,plain,
% 9.76/7.36 (v142(constB17) <=> (v143(constB17) | v144(constB17))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37712, 25855])).
% 9.76/7.36 tff(37714,plain,
% 9.76/7.36 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0)))))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37715,plain,
% 9.76/7.36 ((v143(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1))))) <=> (v143(constB17) <=> (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0))))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37716,plain,
% 9.76/7.36 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0)))))),
% 9.76/7.36 inference(monotonicity,[status(thm)],[37715])).
% 9.76/7.36 tff(37717,plain,
% 9.76/7.36 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0)))))),
% 9.76/7.36 inference(transitivity,[status(thm)],[37716, 37714])).
% 9.76/7.36 tff(37718,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37719,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0))))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37718, 37717])).
% 9.76/7.36 tff(37720,plain,
% 9.76/7.36 (v143(constB17) <=> (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0)))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37719, 25870])).
% 9.76/7.36 tff(37721,plain,
% 9.76/7.36 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37722,plain,
% 9.76/7.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37723,plain,
% 9.76/7.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37722, 37721])).
% 9.76/7.36 tff(37724,plain,
% 9.76/7.36 (v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37723, 648, 372])).
% 9.76/7.36 tff(37725,plain,
% 9.76/7.36 ((~(v88(constB17, bitIndex2) <=> v90(constB17, bitIndex2))) | (~v88(constB17, bitIndex2)) | v90(constB17, bitIndex2)),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37726,plain,
% 9.76/7.36 (~v88(constB17, bitIndex2)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37725, 11136, 37724])).
% 9.76/7.36 tff(37727,plain,
% 9.76/7.36 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37728,plain,
% 9.76/7.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37729,plain,
% 9.76/7.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37728, 37727])).
% 9.76/7.36 tff(37730,plain,
% 9.76/7.36 (v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37729, 9653, 372])).
% 9.76/7.36 tff(37731,plain,
% 9.76/7.36 ((~(v88(constB17, bitIndex0) <=> v90(constB17, bitIndex0))) | (~v88(constB17, bitIndex0)) | v90(constB17, bitIndex0)),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37732,plain,
% 9.76/7.36 (~v88(constB17, bitIndex0)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37731, 11167, 37730])).
% 9.76/7.36 tff(37733,plain,
% 9.76/7.36 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37734,plain,
% 9.76/7.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37735,plain,
% 9.76/7.36 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37734, 37733])).
% 9.76/7.36 tff(37736,plain,
% 9.76/7.36 (v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37735, 375, 372])).
% 9.76/7.36 tff(37737,plain,
% 9.76/7.36 ((~(v88(constB17, bitIndex1) <=> v90(constB17, bitIndex1))) | v88(constB17, bitIndex1) | (~v90(constB17, bitIndex1))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37738,plain,
% 9.76/7.36 (v88(constB17, bitIndex1)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37737, 11198, 37736])).
% 9.76/7.36 tff(37739,plain,
% 9.76/7.36 ((~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0))) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0)),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37740,plain,
% 9.76/7.36 (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37739, 37738, 37732, 37726])).
% 9.76/7.36 tff(37741,plain,
% 9.76/7.36 ((~(v143(constB17) <=> (~(v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0))))) | v143(constB17) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37742,plain,
% 9.76/7.36 (v143(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37741, 37740, 37720])).
% 9.76/7.36 tff(37743,plain,
% 9.76/7.36 ((v143(constB17) | v144(constB17)) | (~v143(constB17))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37744,plain,
% 9.76/7.36 (v143(constB17) | v144(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37743, 37742])).
% 9.76/7.36 tff(37745,plain,
% 9.76/7.36 ((~(v142(constB17) <=> (v143(constB17) | v144(constB17)))) | v142(constB17) | (~(v143(constB17) | v144(constB17)))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37746,plain,
% 9.76/7.36 (v142(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37745, 37744, 37713])).
% 9.76/7.36 tff(37747,plain,
% 9.76/7.36 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB17) | (~v142(constB17)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB17) | (~v142(constB17)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37748,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB17) | (~v142(constB17)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37749,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB17) | (~v142(constB17))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37748, 37747])).
% 9.76/7.36 tff(37750,plain,
% 9.76/7.36 (v148(constB17) | (~v142(constB17))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37749, 26138])).
% 9.76/7.36 tff(37751,plain,
% 9.76/7.36 (v148(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37750, 37746])).
% 9.76/7.36 tff(37752,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB17) <=> (v136(constB17) | v145(constB17)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37753,plain,
% 9.76/7.36 (v135(constB17) <=> (v136(constB17) | v145(constB17))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37752, 26150])).
% 9.76/7.36 tff(37754,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB17) <=> (v137(constB17) | v142(constB17)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37755,plain,
% 9.76/7.36 (v136(constB17) <=> (v137(constB17) | v142(constB17))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37754, 26159])).
% 9.76/7.36 tff(37756,plain,
% 9.76/7.36 ((v137(constB17) | v142(constB17)) | (~v142(constB17))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37757,plain,
% 9.76/7.36 (v137(constB17) | v142(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37756, 37746])).
% 9.76/7.36 tff(37758,plain,
% 9.76/7.36 ((~(v136(constB17) <=> (v137(constB17) | v142(constB17)))) | v136(constB17) | (~(v137(constB17) | v142(constB17)))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37759,plain,
% 9.76/7.36 (v136(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37758, 37757, 37755])).
% 9.76/7.36 tff(37760,plain,
% 9.76/7.36 ((v136(constB17) | v145(constB17)) | (~v136(constB17))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37761,plain,
% 9.76/7.36 (v136(constB17) | v145(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37760, 37759])).
% 9.76/7.36 tff(37762,plain,
% 9.76/7.36 ((~(v135(constB17) <=> (v136(constB17) | v145(constB17)))) | v135(constB17) | (~(v136(constB17) | v145(constB17)))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37763,plain,
% 9.76/7.36 (v135(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37762, 37761, 37753])).
% 9.76/7.36 tff(37764,plain,
% 9.76/7.36 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB17)) | (v86(constB17) <=> v148(constB17)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB17)) | (v86(constB17) <=> v148(constB17)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37765,plain,
% 9.76/7.36 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB17)) | (v86(constB17) <=> v148(constB17)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37766,plain,
% 9.76/7.36 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB17)) | (v86(constB17) <=> v148(constB17))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37765, 37764])).
% 9.76/7.36 tff(37767,plain,
% 9.76/7.36 ((~v135(constB17)) | (v86(constB17) <=> v148(constB17))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37766, 26179])).
% 9.76/7.36 tff(37768,plain,
% 9.76/7.36 (v86(constB17) <=> v148(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37767, 37763])).
% 9.76/7.36 tff(37769,plain,
% 9.76/7.36 ((~(v86(constB17) <=> v148(constB17))) | v86(constB17) | (~v148(constB17))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37770,plain,
% 9.76/7.36 (v86(constB17)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37769, 37768, 37751])).
% 9.76/7.36 tff(37771,plain,
% 9.76/7.36 ($false),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37770, 37711])).
% 9.76/7.36 tff(37772,plain,(~(constB17 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.76/7.36 tff(37773,assumption,(constB5 = VarCurr!0), introduced(assumption)).
% 9.76/7.36 tff(37774,plain,
% 9.76/7.36 (v86(constB5) <=> v86(VarCurr!0)),
% 9.76/7.36 inference(monotonicity,[status(thm)],[37773])).
% 9.76/7.36 tff(37775,plain,
% 9.76/7.36 (v86(VarCurr!0) <=> v86(constB5)),
% 9.76/7.36 inference(symmetry,[status(thm)],[37774])).
% 9.76/7.36 tff(37776,plain,
% 9.76/7.36 ((~v86(VarCurr!0)) <=> (~v86(constB5))),
% 9.76/7.36 inference(monotonicity,[status(thm)],[37775])).
% 9.76/7.36 tff(37777,plain,
% 9.76/7.36 (~v86(constB5)),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[26079, 37776])).
% 9.76/7.36 tff(37778,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB5) <=> (v136(constB5) | v145(constB5)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37779,plain,
% 9.76/7.36 (v135(constB5) <=> (v136(constB5) | v145(constB5))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37778, 26150])).
% 9.76/7.36 tff(37780,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB5) <=> (v137(constB5) | v142(constB5)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37781,plain,
% 9.76/7.36 (v136(constB5) <=> (v137(constB5) | v142(constB5))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37780, 26159])).
% 9.76/7.36 tff(37782,plain,
% 9.76/7.36 ((v137(constB5) | v142(constB5)) | (~v142(constB5))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37783,plain,
% 9.76/7.36 (v137(constB5) | v142(constB5)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37782, 33817])).
% 9.76/7.36 tff(37784,plain,
% 9.76/7.36 ((~(v136(constB5) <=> (v137(constB5) | v142(constB5)))) | v136(constB5) | (~(v137(constB5) | v142(constB5)))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37785,plain,
% 9.76/7.36 (v136(constB5)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37784, 37783, 37781])).
% 9.76/7.36 tff(37786,plain,
% 9.76/7.36 ((v136(constB5) | v145(constB5)) | (~v136(constB5))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37787,plain,
% 9.76/7.36 (v136(constB5) | v145(constB5)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37786, 37785])).
% 9.76/7.36 tff(37788,plain,
% 9.76/7.36 ((~(v135(constB5) <=> (v136(constB5) | v145(constB5)))) | v135(constB5) | (~(v136(constB5) | v145(constB5)))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37789,plain,
% 9.76/7.36 (v135(constB5)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37788, 37787, 37779])).
% 9.76/7.36 tff(37790,plain,
% 9.76/7.36 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB5)) | (v86(constB5) <=> v148(constB5)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB5)) | (v86(constB5) <=> v148(constB5)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37791,plain,
% 9.76/7.36 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB5)) | (v86(constB5) <=> v148(constB5)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37792,plain,
% 9.76/7.36 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB5)) | (v86(constB5) <=> v148(constB5))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37791, 37790])).
% 9.76/7.36 tff(37793,plain,
% 9.76/7.36 (v86(constB5) <=> v148(constB5)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37792, 26179, 37789])).
% 9.76/7.36 tff(37794,plain,
% 9.76/7.36 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB5) | (~v142(constB5)))),
% 9.76/7.36 inference(rewrite,[status(thm)],[])).
% 9.76/7.36 tff(37795,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB5) | (~v142(constB5)))),
% 9.76/7.36 inference(quant_inst,[status(thm)],[])).
% 9.76/7.36 tff(37796,plain,
% 9.76/7.36 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB5) | (~v142(constB5))),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[37795, 37794])).
% 9.76/7.36 tff(37797,plain,
% 9.76/7.36 (v148(constB5) | (~v142(constB5))),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37796, 26138])).
% 9.76/7.36 tff(37798,plain,
% 9.76/7.36 (v148(constB5)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37797, 33817])).
% 9.76/7.36 tff(37799,plain,
% 9.76/7.36 ((~(v86(constB5) <=> v148(constB5))) | v86(constB5) | (~v148(constB5))),
% 9.76/7.36 inference(tautology,[status(thm)],[])).
% 9.76/7.36 tff(37800,plain,
% 9.76/7.36 ((~(v86(constB5) <=> v148(constB5))) | v86(constB5)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37799, 37798])).
% 9.76/7.36 tff(37801,plain,
% 9.76/7.36 (v86(constB5)),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37800, 37793])).
% 9.76/7.36 tff(37802,plain,
% 9.76/7.36 ($false),
% 9.76/7.36 inference(unit_resolution,[status(thm)],[37801, 37777])).
% 9.76/7.36 tff(37803,plain,(~(constB5 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.76/7.36 tff(37804,assumption,(constB195 = VarCurr!0), introduced(assumption)).
% 9.76/7.36 tff(37805,plain,
% 9.76/7.36 (v180(constB195) <=> v180(VarCurr!0)),
% 9.76/7.36 inference(monotonicity,[status(thm)],[37804])).
% 9.76/7.36 tff(37806,plain,
% 9.76/7.36 (v180(VarCurr!0) <=> v180(constB195)),
% 9.76/7.36 inference(symmetry,[status(thm)],[37805])).
% 9.76/7.36 tff(37807,plain,
% 9.76/7.36 (v180(constB195)),
% 9.76/7.36 inference(modus_ponens,[status(thm)],[59, 37806])).
% 9.76/7.36 tff(37808,plain,
% 9.76/7.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194)))),
% 9.79/7.36 inference(rewrite,[status(thm)],[])).
% 9.79/7.36 tff(37809,plain,
% 9.79/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194)))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37810,plain,
% 9.79/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194))),
% 9.79/7.36 inference(modus_ponens,[status(thm)],[37809, 37808])).
% 9.79/7.36 tff(37811,plain,
% 9.79/7.36 (v180(constB195) <=> v178(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37810, 620, 70])).
% 9.79/7.36 tff(37812,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB194) <=> (v181(constB194) | v185(constB194)))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37813,plain,
% 9.79/7.36 (v178(constB194) <=> (v181(constB194) | v185(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37812, 84])).
% 9.79/7.36 tff(37814,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194)))))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37815,plain,
% 9.79/7.36 (v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194))))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37814, 96])).
% 9.79/7.36 tff(37816,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB194) <=> (~((~v184(constB194)) | (~v159(constB194)))))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37817,plain,
% 9.79/7.36 (v187(constB194) <=> (~((~v184(constB194)) | (~v159(constB194))))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37816, 108])).
% 9.79/7.36 tff(37818,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37819,plain,
% 9.79/7.36 (v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194))))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37818, 120])).
% 9.79/7.36 tff(37820,plain,
% 9.79/7.36 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB194)) <=> v1(constB194))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37821,plain,
% 9.79/7.36 ((~v39(constB194)) <=> v1(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37820, 129])).
% 9.79/7.36 tff(37822,plain,
% 9.79/7.36 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194)) | (~v1(constB194))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37823,plain,
% 9.79/7.36 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37822, 685])).
% 9.79/7.36 tff(37824,plain,
% 9.79/7.36 (~v39(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37823, 37821])).
% 9.79/7.36 tff(37825,plain,
% 9.79/7.36 (((~v39(constB194)) | (~v9(constB194))) | v39(constB194)),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37826,plain,
% 9.79/7.36 ((~v39(constB194)) | (~v9(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37825, 37824])).
% 9.79/7.36 tff(37827,plain,
% 9.79/7.36 ((~(v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v184(constB194)) | (~((~v39(constB194)) | (~v9(constB194))))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37828,plain,
% 9.79/7.36 ((~(v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v184(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37827, 37826])).
% 9.79/7.36 tff(37829,plain,
% 9.79/7.36 (~v184(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37828, 37819])).
% 9.79/7.36 tff(37830,plain,
% 9.79/7.36 (((~v184(constB194)) | (~v159(constB194))) | v184(constB194)),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37831,plain,
% 9.79/7.36 ((~v184(constB194)) | (~v159(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37830, 37829])).
% 9.79/7.36 tff(37832,plain,
% 9.79/7.36 ((~(v187(constB194) <=> (~((~v184(constB194)) | (~v159(constB194)))))) | (~v187(constB194)) | (~((~v184(constB194)) | (~v159(constB194))))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37833,plain,
% 9.79/7.36 ((~(v187(constB194) <=> (~((~v184(constB194)) | (~v159(constB194)))))) | (~v187(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37832, 37831])).
% 9.79/7.36 tff(37834,plain,
% 9.79/7.36 (~v187(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37833, 37817])).
% 9.79/7.36 tff(37835,plain,
% 9.79/7.36 (((~v186(constB194)) | (~v187(constB194))) | v187(constB194)),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37836,plain,
% 9.79/7.36 ((~v186(constB194)) | (~v187(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37835, 37834])).
% 9.79/7.36 tff(37837,plain,
% 9.79/7.36 ((~(v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194)))))) | (~v185(constB194)) | (~((~v186(constB194)) | (~v187(constB194))))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37838,plain,
% 9.79/7.36 (~v185(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37837, 37836, 37815])).
% 9.79/7.36 tff(37839,plain,
% 9.79/7.36 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194))))))),
% 9.79/7.36 inference(rewrite,[status(thm)],[])).
% 9.79/7.36 tff(37840,plain,
% 9.79/7.36 ((v181(constB194) <=> (~((~v182(constB194)) | (~v157(constB194))))) <=> (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194)))))),
% 9.79/7.36 inference(rewrite,[status(thm)],[])).
% 9.79/7.36 tff(37841,plain,
% 9.79/7.36 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v157(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194))))))),
% 9.79/7.36 inference(monotonicity,[status(thm)],[37840])).
% 9.79/7.36 tff(37842,plain,
% 9.79/7.36 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v157(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194))))))),
% 9.79/7.36 inference(transitivity,[status(thm)],[37841, 37839])).
% 9.79/7.36 tff(37843,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v157(constB194)))))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37844,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194)))))),
% 9.79/7.36 inference(modus_ponens,[status(thm)],[37843, 37842])).
% 9.79/7.36 tff(37845,plain,
% 9.79/7.36 (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194))))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37844, 161])).
% 9.79/7.36 tff(37846,plain,
% 9.79/7.36 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB194) <=> v180(constB194))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37847,plain,
% 9.79/7.36 (v157(constB194) <=> v180(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37846, 13])).
% 9.79/7.36 tff(37848,plain,
% 9.79/7.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193)))),
% 9.79/7.36 inference(rewrite,[status(thm)],[])).
% 9.79/7.36 tff(37849,plain,
% 9.79/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193)))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37850,plain,
% 9.79/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193))),
% 9.79/7.36 inference(modus_ponens,[status(thm)],[37849, 37848])).
% 9.79/7.36 tff(37851,plain,
% 9.79/7.36 (v180(constB194) <=> v178(constB193)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37850, 655, 70])).
% 9.79/7.36 tff(37852,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB193) <=> (v181(constB193) | v185(constB193)))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37853,plain,
% 9.79/7.36 (v178(constB193) <=> (v181(constB193) | v185(constB193))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37852, 84])).
% 9.79/7.36 tff(37854,plain,
% 9.79/7.36 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193))))))),
% 9.79/7.36 inference(rewrite,[status(thm)],[])).
% 9.79/7.36 tff(37855,plain,
% 9.79/7.36 ((v181(constB193) <=> (~((~v182(constB193)) | (~v157(constB193))))) <=> (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193)))))),
% 9.79/7.36 inference(rewrite,[status(thm)],[])).
% 9.79/7.36 tff(37856,plain,
% 9.79/7.36 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v157(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193))))))),
% 9.79/7.36 inference(monotonicity,[status(thm)],[37855])).
% 9.79/7.36 tff(37857,plain,
% 9.79/7.36 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v157(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193))))))),
% 9.79/7.36 inference(transitivity,[status(thm)],[37856, 37854])).
% 9.79/7.36 tff(37858,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v157(constB193)))))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37859,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193)))))),
% 9.79/7.36 inference(modus_ponens,[status(thm)],[37858, 37857])).
% 9.79/7.36 tff(37860,plain,
% 9.79/7.36 (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193))))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37859, 161])).
% 9.79/7.36 tff(37861,plain,
% 9.79/7.36 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB193)) <=> v183(constB193))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37862,plain,
% 9.79/7.36 ((~v182(constB193)) <=> v183(constB193)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37861, 193])).
% 9.79/7.36 tff(37863,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB193) <=> (v184(constB193) | v26(constB193)))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37864,plain,
% 9.79/7.36 (v183(constB193) <=> (v184(constB193) | v26(constB193))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37863, 202])).
% 9.79/7.36 tff(37865,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37866,plain,
% 9.79/7.36 (v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193))))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37865, 120])).
% 9.79/7.36 tff(37867,plain,
% 9.79/7.36 (((~![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)))),
% 9.79/7.36 inference(rewrite,[status(thm)],[])).
% 9.79/7.36 tff(37868,plain,
% 9.79/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37869,plain,
% 9.79/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193))),
% 9.79/7.36 inference(modus_ponens,[status(thm)],[37868, 37867])).
% 9.79/7.36 tff(37870,plain,
% 9.79/7.36 (v13(constB194) <=> v9(constB193)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37869, 655, 216])).
% 9.79/7.36 tff(37871,plain,
% 9.79/7.36 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB194) <=> v13(constB194))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37872,plain,
% 9.79/7.36 (v6(constB194) <=> v13(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37871, 230])).
% 9.79/7.36 tff(37873,plain,
% 9.79/7.36 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB194)) <=> v6(constB194))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37874,plain,
% 9.79/7.36 ((~v21(constB194)) <=> v6(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37873, 239])).
% 9.79/7.36 tff(37875,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB194) <=> (v20(constB194) | v21(constB194)))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37876,plain,
% 9.79/7.36 (v19(constB194) <=> (v20(constB194) | v21(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37875, 248])).
% 9.79/7.36 tff(37877,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37878,plain,
% 9.79/7.36 (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194))))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37877, 260])).
% 9.79/7.36 tff(37879,plain,
% 9.79/7.36 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB194)) <=> v18(constB194))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37880,plain,
% 9.79/7.36 ((~v4(constB194)) <=> v18(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37879, 269])).
% 9.79/7.36 tff(37881,plain,
% 9.79/7.36 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB194)),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37882,plain,
% 9.79/7.36 (v4(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37881, 278])).
% 9.79/7.36 tff(37883,plain,
% 9.79/7.36 ((~((~v4(constB194)) <=> v18(constB194))) | (~v4(constB194)) | (~v18(constB194))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37884,plain,
% 9.79/7.36 (~v18(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37883, 37882, 37880])).
% 9.79/7.36 tff(37885,plain,
% 9.79/7.36 ((~(v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))) | v18(constB194) | ((~v19(constB194)) | (~v22(constB194)))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37886,plain,
% 9.79/7.36 ((~v19(constB194)) | (~v22(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37885, 37884, 37878])).
% 9.79/7.36 tff(37887,plain,
% 9.79/7.36 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB194) <=> (v1(constB194) | v6(constB194)))),
% 9.79/7.36 inference(quant_inst,[status(thm)],[])).
% 9.79/7.36 tff(37888,plain,
% 9.79/7.36 (v22(constB194) <=> (v1(constB194) | v6(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37887, 291])).
% 9.79/7.36 tff(37889,plain,
% 9.79/7.36 ((v1(constB194) | v6(constB194)) | (~v1(constB194))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37890,plain,
% 9.79/7.36 (v1(constB194) | v6(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37889, 685])).
% 9.79/7.36 tff(37891,plain,
% 9.79/7.36 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194) | (~(v1(constB194) | v6(constB194)))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37892,plain,
% 9.79/7.36 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37891, 37890])).
% 9.79/7.36 tff(37893,plain,
% 9.79/7.36 (v22(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37892, 37888])).
% 9.79/7.36 tff(37894,plain,
% 9.79/7.36 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194)) | (~v22(constB194))),
% 9.79/7.36 inference(tautology,[status(thm)],[])).
% 9.79/7.36 tff(37895,plain,
% 9.79/7.36 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194))),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37894, 37893])).
% 9.79/7.36 tff(37896,plain,
% 9.79/7.36 (~v19(constB194)),
% 9.79/7.36 inference(unit_resolution,[status(thm)],[37895, 37886])).
% 9.79/7.36 tff(37897,plain,
% 9.79/7.36 ((~(v19(constB194) <=> (v20(constB194) | v21(constB194)))) | v19(constB194) | (~(v20(constB194) | v21(constB194)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37898,plain,
% 9.79/7.37 (~(v20(constB194) | v21(constB194))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37897, 37896, 37876])).
% 9.79/7.37 tff(37899,plain,
% 9.79/7.37 ((v20(constB194) | v21(constB194)) | (~v21(constB194))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37900,plain,
% 9.79/7.37 (~v21(constB194)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37899, 37898])).
% 9.79/7.37 tff(37901,plain,
% 9.79/7.37 ((~((~v21(constB194)) <=> v6(constB194))) | v21(constB194) | v6(constB194)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37902,plain,
% 9.79/7.37 (v6(constB194)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37901, 37900, 37874])).
% 9.79/7.37 tff(37903,plain,
% 9.79/7.37 ((~(v6(constB194) <=> v13(constB194))) | (~v6(constB194)) | v13(constB194)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37904,plain,
% 9.79/7.37 (v13(constB194)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37903, 37902, 37872])).
% 9.79/7.37 tff(37905,plain,
% 9.79/7.37 ((~(v13(constB194) <=> v9(constB193))) | (~v13(constB194)) | v9(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37906,plain,
% 9.79/7.37 (v9(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37905, 37904, 37870])).
% 9.79/7.37 tff(37907,plain,
% 9.79/7.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB193)) <=> v1(constB193))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37908,plain,
% 9.79/7.37 ((~v39(constB193)) <=> v1(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37907, 129])).
% 9.79/7.37 tff(37909,plain,
% 9.79/7.37 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193) | v1(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37910,plain,
% 9.79/7.37 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37909, 677])).
% 9.79/7.37 tff(37911,plain,
% 9.79/7.37 (v39(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37910, 37908])).
% 9.79/7.37 tff(37912,plain,
% 9.79/7.37 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v39(constB193)) | (~v9(constB193))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37913,plain,
% 9.79/7.37 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v9(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37912, 37911])).
% 9.79/7.37 tff(37914,plain,
% 9.79/7.37 (~((~v39(constB193)) | (~v9(constB193)))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37913, 37906])).
% 9.79/7.37 tff(37915,plain,
% 9.79/7.37 ((~(v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))) | v184(constB193) | ((~v39(constB193)) | (~v9(constB193)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37916,plain,
% 9.79/7.37 (v184(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37915, 37914, 37866])).
% 9.79/7.37 tff(37917,plain,
% 9.79/7.37 ((v184(constB193) | v26(constB193)) | (~v184(constB193))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37918,plain,
% 9.79/7.37 (v184(constB193) | v26(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37917, 37916])).
% 9.79/7.37 tff(37919,plain,
% 9.79/7.37 ((~(v183(constB193) <=> (v184(constB193) | v26(constB193)))) | v183(constB193) | (~(v184(constB193) | v26(constB193)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37920,plain,
% 9.79/7.37 (v183(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37919, 37918, 37864])).
% 9.79/7.37 tff(37921,plain,
% 9.79/7.37 ((~((~v182(constB193)) <=> v183(constB193))) | (~v182(constB193)) | (~v183(constB193))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37922,plain,
% 9.79/7.37 (~v182(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37921, 37920, 37862])).
% 9.79/7.37 tff(37923,plain,
% 9.79/7.37 (((~v157(constB193)) | (~v182(constB193))) | v182(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37924,plain,
% 9.79/7.37 ((~v157(constB193)) | (~v182(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37923, 37922])).
% 9.79/7.37 tff(37925,plain,
% 9.79/7.37 ((~(v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193)))))) | (~v181(constB193)) | (~((~v157(constB193)) | (~v182(constB193))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37926,plain,
% 9.79/7.37 (~v181(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37925, 37924, 37860])).
% 9.79/7.37 tff(37927,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37928,plain,
% 9.79/7.37 (v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37927, 96])).
% 9.79/7.37 tff(37929,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB193) <=> (~((~v184(constB193)) | (~v159(constB193)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37930,plain,
% 9.79/7.37 (v187(constB193) <=> (~((~v184(constB193)) | (~v159(constB193))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37929, 108])).
% 9.79/7.37 tff(37931,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB193) <=> v161(constB193))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37932,plain,
% 9.79/7.37 (v159(constB193) <=> v161(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37931, 345])).
% 9.79/7.37 tff(37933,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37934,plain,
% 9.79/7.37 (v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37933, 360])).
% 9.79/7.37 tff(37935,plain,
% 9.79/7.37 ((v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex2))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37936,plain,
% 9.79/7.37 (v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37935, 29491])).
% 9.79/7.37 tff(37937,plain,
% 9.79/7.37 ((~(v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2))))) | (~v139(constB193)) | (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37938,plain,
% 9.79/7.37 (~v139(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37937, 37936, 37934])).
% 9.79/7.37 tff(37939,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))))))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(37940,plain,
% 9.79/7.37 ((v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0))))) <=> (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0)))))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(37941,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))))))),
% 9.79/7.37 inference(monotonicity,[status(thm)],[37940])).
% 9.79/7.37 tff(37942,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))))))),
% 9.79/7.37 inference(transitivity,[status(thm)],[37941, 37939])).
% 9.79/7.37 tff(37943,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37944,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0)))))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[37943, 37942])).
% 9.79/7.37 tff(37945,plain,
% 9.79/7.37 (v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37944, 25795])).
% 9.79/7.37 tff(37946,plain,
% 9.79/7.37 ((v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))) | (~v88(constB193, bitIndex2))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37947,plain,
% 9.79/7.37 (v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37946, 29491])).
% 9.79/7.37 tff(37948,plain,
% 9.79/7.37 ((~(v140(constB193) <=> (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0)))))) | (~v140(constB193)) | (~(v88(constB193, bitIndex2) | v88(constB193, bitIndex1) | (~v88(constB193, bitIndex0))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37949,plain,
% 9.79/7.37 (~v140(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37948, 37947, 37945])).
% 9.79/7.37 tff(37950,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v168(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB193) | v139(constB193) | (~v168(constB193)))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(37951,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v168(constB193)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37952,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB193) | v139(constB193) | (~v168(constB193))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[37951, 37950])).
% 9.79/7.37 tff(37953,plain,
% 9.79/7.37 (v140(constB193) | v139(constB193) | (~v168(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37952, 25819])).
% 9.79/7.37 tff(37954,plain,
% 9.79/7.37 (~v168(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37953, 37949, 37938])).
% 9.79/7.37 tff(37955,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB193) <=> (v145(constB193) | v165(constB193)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37956,plain,
% 9.79/7.37 (v164(constB193) <=> (v145(constB193) | v165(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37955, 25834])).
% 9.79/7.37 tff(37957,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB193) <=> (v142(constB193) | v166(constB193)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37958,plain,
% 9.79/7.37 (v165(constB193) <=> (v142(constB193) | v166(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37957, 25846])).
% 9.79/7.37 tff(37959,plain,
% 9.79/7.37 ((v142(constB193) | v166(constB193)) | (~v142(constB193))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37960,plain,
% 9.79/7.37 (v142(constB193) | v166(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37959, 29511])).
% 9.79/7.37 tff(37961,plain,
% 9.79/7.37 ((~(v165(constB193) <=> (v142(constB193) | v166(constB193)))) | v165(constB193) | (~(v142(constB193) | v166(constB193)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37962,plain,
% 9.79/7.37 (v165(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37961, 37960, 37958])).
% 9.79/7.37 tff(37963,plain,
% 9.79/7.37 ((v145(constB193) | v165(constB193)) | (~v165(constB193))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37964,plain,
% 9.79/7.37 (v145(constB193) | v165(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37963, 37962])).
% 9.79/7.37 tff(37965,plain,
% 9.79/7.37 ((~(v164(constB193) <=> (v145(constB193) | v165(constB193)))) | v164(constB193) | (~(v145(constB193) | v165(constB193)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37966,plain,
% 9.79/7.37 (v164(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37965, 37964, 37956])).
% 9.79/7.37 tff(37967,plain,
% 9.79/7.37 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB193)) | (v161(constB193) <=> v168(constB193)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB193)) | (v161(constB193) <=> v168(constB193)))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(37968,plain,
% 9.79/7.37 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB193)) | (v161(constB193) <=> v168(constB193)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(37969,plain,
% 9.79/7.37 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB193)) | (v161(constB193) <=> v168(constB193))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[37968, 37967])).
% 9.79/7.37 tff(37970,plain,
% 9.79/7.37 ((~v164(constB193)) | (v161(constB193) <=> v168(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37969, 25977])).
% 9.79/7.37 tff(37971,plain,
% 9.79/7.37 (v161(constB193) <=> v168(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37970, 37966])).
% 9.79/7.37 tff(37972,plain,
% 9.79/7.37 ((~(v161(constB193) <=> v168(constB193))) | (~v161(constB193)) | v168(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37973,plain,
% 9.79/7.37 (~v161(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37972, 37971, 37954])).
% 9.79/7.37 tff(37974,plain,
% 9.79/7.37 ((~(v159(constB193) <=> v161(constB193))) | (~v159(constB193)) | v161(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37975,plain,
% 9.79/7.37 ((~(v159(constB193) <=> v161(constB193))) | (~v159(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37974, 37973])).
% 9.79/7.37 tff(37976,plain,
% 9.79/7.37 (~v159(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37975, 37932])).
% 9.79/7.37 tff(37977,plain,
% 9.79/7.37 (((~v184(constB193)) | (~v159(constB193))) | v159(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37978,plain,
% 9.79/7.37 ((~v184(constB193)) | (~v159(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37977, 37976])).
% 9.79/7.37 tff(37979,plain,
% 9.79/7.37 ((~(v187(constB193) <=> (~((~v184(constB193)) | (~v159(constB193)))))) | (~v187(constB193)) | (~((~v184(constB193)) | (~v159(constB193))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37980,plain,
% 9.79/7.37 (~v187(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37979, 37978, 37930])).
% 9.79/7.37 tff(37981,plain,
% 9.79/7.37 (((~v186(constB193)) | (~v187(constB193))) | v187(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37982,plain,
% 9.79/7.37 ((~v186(constB193)) | (~v187(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37981, 37980])).
% 9.79/7.37 tff(37983,plain,
% 9.79/7.37 ((~(v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193)))))) | (~v185(constB193)) | (~((~v186(constB193)) | (~v187(constB193))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37984,plain,
% 9.79/7.37 (~v185(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37983, 37982, 37928])).
% 9.79/7.37 tff(37985,plain,
% 9.79/7.37 ((~(v181(constB193) | v185(constB193))) | v181(constB193) | v185(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37986,plain,
% 9.79/7.37 (~(v181(constB193) | v185(constB193))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37985, 37984, 37926])).
% 9.79/7.37 tff(37987,plain,
% 9.79/7.37 ((~(v178(constB193) <=> (v181(constB193) | v185(constB193)))) | (~v178(constB193)) | (v181(constB193) | v185(constB193))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37988,plain,
% 9.79/7.37 (~v178(constB193)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37987, 37986, 37853])).
% 9.79/7.37 tff(37989,plain,
% 9.79/7.37 ((~(v180(constB194) <=> v178(constB193))) | (~v180(constB194)) | v178(constB193)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37990,plain,
% 9.79/7.37 (~v180(constB194)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37989, 37988, 37851])).
% 9.79/7.37 tff(37991,plain,
% 9.79/7.37 ((~(v157(constB194) <=> v180(constB194))) | (~v157(constB194)) | v180(constB194)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37992,plain,
% 9.79/7.37 (~v157(constB194)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37991, 37990, 37847])).
% 9.79/7.37 tff(37993,plain,
% 9.79/7.37 (((~v157(constB194)) | (~v182(constB194))) | v157(constB194)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37994,plain,
% 9.79/7.37 ((~v157(constB194)) | (~v182(constB194))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37993, 37992])).
% 9.79/7.37 tff(37995,plain,
% 9.79/7.37 ((~(v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194)))))) | (~v181(constB194)) | (~((~v157(constB194)) | (~v182(constB194))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37996,plain,
% 9.79/7.37 (~v181(constB194)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37995, 37994, 37845])).
% 9.79/7.37 tff(37997,plain,
% 9.79/7.37 ((~(v181(constB194) | v185(constB194))) | v181(constB194) | v185(constB194)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(37998,plain,
% 9.79/7.37 (~(v181(constB194) | v185(constB194))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37997, 37996, 37838])).
% 9.79/7.37 tff(37999,plain,
% 9.79/7.37 ((~(v178(constB194) <=> (v181(constB194) | v185(constB194)))) | (~v178(constB194)) | (v181(constB194) | v185(constB194))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38000,plain,
% 9.79/7.37 (~v178(constB194)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[37999, 37998, 37813])).
% 9.79/7.37 tff(38001,plain,
% 9.79/7.37 ((~(v180(constB195) <=> v178(constB194))) | (~v180(constB195)) | v178(constB194)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38002,plain,
% 9.79/7.37 (~v180(constB195)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38001, 38000, 37811])).
% 9.79/7.37 tff(38003,plain,
% 9.79/7.37 ($false),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38002, 37807])).
% 9.79/7.37 tff(38004,plain,(~(constB195 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.79/7.37 tff(38005,assumption,(constB9 = VarCurr!0), introduced(assumption)).
% 9.79/7.37 tff(38006,plain,
% 9.79/7.37 (v180(constB9) <=> v180(VarCurr!0)),
% 9.79/7.37 inference(monotonicity,[status(thm)],[38005])).
% 9.79/7.37 tff(38007,plain,
% 9.79/7.37 (v180(VarCurr!0) <=> v180(constB9)),
% 9.79/7.37 inference(symmetry,[status(thm)],[38006])).
% 9.79/7.37 tff(38008,plain,
% 9.79/7.37 (v180(constB9)),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[59, 38007])).
% 9.79/7.37 tff(38009,plain,
% 9.79/7.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> v178(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB8, constB9)) | (v180(constB9) <=> v178(constB8)))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(38010,plain,
% 9.79/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> v178(constB8)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38011,plain,
% 9.79/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB8, constB9)) | (v180(constB9) <=> v178(constB8))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[38010, 38009])).
% 9.79/7.37 tff(38012,plain,
% 9.79/7.37 (v180(constB9) <=> v178(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38011, 9235, 70])).
% 9.79/7.37 tff(38013,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB8) <=> (v181(constB8) | v185(constB8)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38014,plain,
% 9.79/7.37 (v178(constB8) <=> (v181(constB8) | v185(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38013, 84])).
% 9.79/7.37 tff(38015,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB8) <=> (~((~v186(constB8)) | (~v187(constB8)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38016,plain,
% 9.79/7.37 (v185(constB8) <=> (~((~v186(constB8)) | (~v187(constB8))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38015, 96])).
% 9.79/7.37 tff(38017,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB8) <=> (~((~v184(constB8)) | (~v159(constB8)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38018,plain,
% 9.79/7.37 (v187(constB8) <=> (~((~v184(constB8)) | (~v159(constB8))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38017, 108])).
% 9.79/7.37 tff(38019,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38020,plain,
% 9.79/7.37 (v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38019, 120])).
% 9.79/7.37 tff(38021,plain,
% 9.79/7.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB8)) <=> v1(constB8))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38022,plain,
% 9.79/7.37 ((~v39(constB8)) <=> v1(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38021, 129])).
% 9.79/7.37 tff(38023,plain,
% 9.79/7.37 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8)) | (~v1(constB8))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38024,plain,
% 9.79/7.37 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38023, 9297])).
% 9.79/7.37 tff(38025,plain,
% 9.79/7.37 (~v39(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38024, 38022])).
% 9.79/7.37 tff(38026,plain,
% 9.79/7.37 (((~v39(constB8)) | (~v9(constB8))) | v39(constB8)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38027,plain,
% 9.79/7.37 ((~v39(constB8)) | (~v9(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38026, 38025])).
% 9.79/7.37 tff(38028,plain,
% 9.79/7.37 ((~(v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v184(constB8)) | (~((~v39(constB8)) | (~v9(constB8))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38029,plain,
% 9.79/7.37 ((~(v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v184(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38028, 38027])).
% 9.79/7.37 tff(38030,plain,
% 9.79/7.37 (~v184(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38029, 38020])).
% 9.79/7.37 tff(38031,plain,
% 9.79/7.37 (((~v184(constB8)) | (~v159(constB8))) | v184(constB8)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38032,plain,
% 9.79/7.37 ((~v184(constB8)) | (~v159(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38031, 38030])).
% 9.79/7.37 tff(38033,plain,
% 9.79/7.37 ((~(v187(constB8) <=> (~((~v184(constB8)) | (~v159(constB8)))))) | (~v187(constB8)) | (~((~v184(constB8)) | (~v159(constB8))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38034,plain,
% 9.79/7.37 ((~(v187(constB8) <=> (~((~v184(constB8)) | (~v159(constB8)))))) | (~v187(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38033, 38032])).
% 9.79/7.37 tff(38035,plain,
% 9.79/7.37 (~v187(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38034, 38018])).
% 9.79/7.37 tff(38036,plain,
% 9.79/7.37 (((~v186(constB8)) | (~v187(constB8))) | v187(constB8)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38037,plain,
% 9.79/7.37 ((~v186(constB8)) | (~v187(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38036, 38035])).
% 9.79/7.37 tff(38038,plain,
% 9.79/7.37 ((~(v185(constB8) <=> (~((~v186(constB8)) | (~v187(constB8)))))) | (~v185(constB8)) | (~((~v186(constB8)) | (~v187(constB8))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38039,plain,
% 9.79/7.37 (~v185(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38038, 38037, 38016])).
% 9.79/7.37 tff(38040,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8))))))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(38041,plain,
% 9.79/7.37 ((v181(constB8) <=> (~((~v182(constB8)) | (~v157(constB8))))) <=> (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8)))))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(38042,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v182(constB8)) | (~v157(constB8)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8))))))),
% 9.79/7.37 inference(monotonicity,[status(thm)],[38041])).
% 9.79/7.37 tff(38043,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v182(constB8)) | (~v157(constB8)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8))))))),
% 9.79/7.37 inference(transitivity,[status(thm)],[38042, 38040])).
% 9.79/7.37 tff(38044,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v182(constB8)) | (~v157(constB8)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38045,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8)))))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[38044, 38043])).
% 9.79/7.37 tff(38046,plain,
% 9.79/7.37 (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38045, 161])).
% 9.79/7.37 tff(38047,plain,
% 9.79/7.37 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB8) <=> v180(constB8))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38048,plain,
% 9.79/7.37 (v157(constB8) <=> v180(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38047, 13])).
% 9.79/7.37 tff(38049,plain,
% 9.79/7.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> v178(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB7, constB8)) | (v180(constB8) <=> v178(constB7)))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(38050,plain,
% 9.79/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> v178(constB7)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38051,plain,
% 9.79/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB7, constB8)) | (v180(constB8) <=> v178(constB7))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[38050, 38049])).
% 9.79/7.37 tff(38052,plain,
% 9.79/7.37 (v180(constB8) <=> v178(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38051, 9267, 70])).
% 9.79/7.37 tff(38053,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB7) <=> (v181(constB7) | v185(constB7)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38054,plain,
% 9.79/7.37 (v178(constB7) <=> (v181(constB7) | v185(constB7))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38053, 84])).
% 9.79/7.37 tff(38055,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7))))))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(38056,plain,
% 9.79/7.37 ((v181(constB7) <=> (~((~v182(constB7)) | (~v157(constB7))))) <=> (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7)))))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(38057,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v182(constB7)) | (~v157(constB7)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7))))))),
% 9.79/7.37 inference(monotonicity,[status(thm)],[38056])).
% 9.79/7.37 tff(38058,plain,
% 9.79/7.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v182(constB7)) | (~v157(constB7)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7))))))),
% 9.79/7.37 inference(transitivity,[status(thm)],[38057, 38055])).
% 9.79/7.37 tff(38059,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v182(constB7)) | (~v157(constB7)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38060,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7)))))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[38059, 38058])).
% 9.79/7.37 tff(38061,plain,
% 9.79/7.37 (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38060, 161])).
% 9.79/7.37 tff(38062,plain,
% 9.79/7.37 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB7)) <=> v183(constB7))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38063,plain,
% 9.79/7.37 ((~v182(constB7)) <=> v183(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38062, 193])).
% 9.79/7.37 tff(38064,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB7) <=> (v184(constB7) | v26(constB7)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38065,plain,
% 9.79/7.37 (v183(constB7) <=> (v184(constB7) | v26(constB7))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38064, 202])).
% 9.79/7.37 tff(38066,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38067,plain,
% 9.79/7.37 (v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38066, 120])).
% 9.79/7.37 tff(38068,plain,
% 9.79/7.37 (((~![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)))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(38069,plain,
% 9.79/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38070,plain,
% 9.79/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[38069, 38068])).
% 9.79/7.37 tff(38071,plain,
% 9.79/7.37 (v13(constB8) <=> v9(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38070, 9267, 216])).
% 9.79/7.37 tff(38072,plain,
% 9.79/7.37 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB8) <=> v13(constB8))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38073,plain,
% 9.79/7.37 (v6(constB8) <=> v13(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38072, 230])).
% 9.79/7.37 tff(38074,plain,
% 9.79/7.37 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB8)) <=> v6(constB8))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38075,plain,
% 9.79/7.37 ((~v21(constB8)) <=> v6(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38074, 239])).
% 9.79/7.37 tff(38076,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB8) <=> (v20(constB8) | v21(constB8)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38077,plain,
% 9.79/7.37 (v19(constB8) <=> (v20(constB8) | v21(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38076, 248])).
% 9.79/7.37 tff(38078,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38079,plain,
% 9.79/7.37 (v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38078, 260])).
% 9.79/7.37 tff(38080,plain,
% 9.79/7.37 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB8)) <=> v18(constB8))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38081,plain,
% 9.79/7.37 ((~v4(constB8)) <=> v18(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38080, 269])).
% 9.79/7.37 tff(38082,plain,
% 9.79/7.37 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB8)),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38083,plain,
% 9.79/7.37 (v4(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38082, 278])).
% 9.79/7.37 tff(38084,plain,
% 9.79/7.37 ((~((~v4(constB8)) <=> v18(constB8))) | (~v4(constB8)) | (~v18(constB8))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38085,plain,
% 9.79/7.37 (~v18(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38084, 38083, 38081])).
% 9.79/7.37 tff(38086,plain,
% 9.79/7.37 ((~(v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8)))))) | v18(constB8) | ((~v19(constB8)) | (~v22(constB8)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38087,plain,
% 9.79/7.37 ((~v19(constB8)) | (~v22(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38086, 38085, 38079])).
% 9.79/7.37 tff(38088,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB8) <=> (v1(constB8) | v6(constB8)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38089,plain,
% 9.79/7.37 (v22(constB8) <=> (v1(constB8) | v6(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38088, 291])).
% 9.79/7.37 tff(38090,plain,
% 9.79/7.37 ((v1(constB8) | v6(constB8)) | (~v1(constB8))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38091,plain,
% 9.79/7.37 (v1(constB8) | v6(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38090, 9297])).
% 9.79/7.37 tff(38092,plain,
% 9.79/7.37 ((~(v22(constB8) <=> (v1(constB8) | v6(constB8)))) | v22(constB8) | (~(v1(constB8) | v6(constB8)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38093,plain,
% 9.79/7.37 ((~(v22(constB8) <=> (v1(constB8) | v6(constB8)))) | v22(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38092, 38091])).
% 9.79/7.37 tff(38094,plain,
% 9.79/7.37 (v22(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38093, 38089])).
% 9.79/7.37 tff(38095,plain,
% 9.79/7.37 ((~((~v19(constB8)) | (~v22(constB8)))) | (~v19(constB8)) | (~v22(constB8))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38096,plain,
% 9.79/7.37 ((~((~v19(constB8)) | (~v22(constB8)))) | (~v19(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38095, 38094])).
% 9.79/7.37 tff(38097,plain,
% 9.79/7.37 (~v19(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38096, 38087])).
% 9.79/7.37 tff(38098,plain,
% 9.79/7.37 ((~(v19(constB8) <=> (v20(constB8) | v21(constB8)))) | v19(constB8) | (~(v20(constB8) | v21(constB8)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38099,plain,
% 9.79/7.37 (~(v20(constB8) | v21(constB8))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38098, 38097, 38077])).
% 9.79/7.37 tff(38100,plain,
% 9.79/7.37 ((v20(constB8) | v21(constB8)) | (~v21(constB8))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38101,plain,
% 9.79/7.37 (~v21(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38100, 38099])).
% 9.79/7.37 tff(38102,plain,
% 9.79/7.37 ((~((~v21(constB8)) <=> v6(constB8))) | v21(constB8) | v6(constB8)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38103,plain,
% 9.79/7.37 (v6(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38102, 38101, 38075])).
% 9.79/7.37 tff(38104,plain,
% 9.79/7.37 ((~(v6(constB8) <=> v13(constB8))) | (~v6(constB8)) | v13(constB8)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38105,plain,
% 9.79/7.37 (v13(constB8)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38104, 38103, 38073])).
% 9.79/7.37 tff(38106,plain,
% 9.79/7.37 ((~(v13(constB8) <=> v9(constB7))) | (~v13(constB8)) | v9(constB7)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38107,plain,
% 9.79/7.37 (v9(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38106, 38105, 38071])).
% 9.79/7.37 tff(38108,plain,
% 9.79/7.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB7)) <=> v1(constB7))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38109,plain,
% 9.79/7.37 ((~v39(constB7)) <=> v1(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38108, 129])).
% 9.79/7.37 tff(38110,plain,
% 9.79/7.37 ((~((~v39(constB7)) <=> v1(constB7))) | v39(constB7) | v1(constB7)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38111,plain,
% 9.79/7.37 ((~((~v39(constB7)) <=> v1(constB7))) | v39(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38110, 9289])).
% 9.79/7.37 tff(38112,plain,
% 9.79/7.37 (v39(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38111, 38109])).
% 9.79/7.37 tff(38113,plain,
% 9.79/7.37 ((~((~v39(constB7)) | (~v9(constB7)))) | (~v39(constB7)) | (~v9(constB7))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38114,plain,
% 9.79/7.37 ((~((~v39(constB7)) | (~v9(constB7)))) | (~v9(constB7))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38113, 38112])).
% 9.79/7.37 tff(38115,plain,
% 9.79/7.37 (~((~v39(constB7)) | (~v9(constB7)))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38114, 38107])).
% 9.79/7.37 tff(38116,plain,
% 9.79/7.37 ((~(v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7)))))) | v184(constB7) | ((~v39(constB7)) | (~v9(constB7)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38117,plain,
% 9.79/7.37 (v184(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38116, 38115, 38067])).
% 9.79/7.37 tff(38118,plain,
% 9.79/7.37 ((v184(constB7) | v26(constB7)) | (~v184(constB7))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38119,plain,
% 9.79/7.37 (v184(constB7) | v26(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38118, 38117])).
% 9.79/7.37 tff(38120,plain,
% 9.79/7.37 ((~(v183(constB7) <=> (v184(constB7) | v26(constB7)))) | v183(constB7) | (~(v184(constB7) | v26(constB7)))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38121,plain,
% 9.79/7.37 (v183(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38120, 38119, 38065])).
% 9.79/7.37 tff(38122,plain,
% 9.79/7.37 ((~((~v182(constB7)) <=> v183(constB7))) | (~v182(constB7)) | (~v183(constB7))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38123,plain,
% 9.79/7.37 (~v182(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38122, 38121, 38063])).
% 9.79/7.37 tff(38124,plain,
% 9.79/7.37 (((~v157(constB7)) | (~v182(constB7))) | v182(constB7)),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38125,plain,
% 9.79/7.37 ((~v157(constB7)) | (~v182(constB7))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38124, 38123])).
% 9.79/7.37 tff(38126,plain,
% 9.79/7.37 ((~(v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7)))))) | (~v181(constB7)) | (~((~v157(constB7)) | (~v182(constB7))))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.37 tff(38127,plain,
% 9.79/7.37 (~v181(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38126, 38125, 38061])).
% 9.79/7.37 tff(38128,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB7) <=> (~((~v186(constB7)) | (~v187(constB7)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38129,plain,
% 9.79/7.37 (v185(constB7) <=> (~((~v186(constB7)) | (~v187(constB7))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38128, 96])).
% 9.79/7.37 tff(38130,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB7) <=> (~((~v184(constB7)) | (~v159(constB7)))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38131,plain,
% 9.79/7.37 (v187(constB7) <=> (~((~v184(constB7)) | (~v159(constB7))))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38130, 108])).
% 9.79/7.37 tff(38132,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB7) <=> v161(constB7))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38133,plain,
% 9.79/7.37 (v159(constB7) <=> v161(constB7)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38132, 345])).
% 9.79/7.37 tff(38134,plain,
% 9.79/7.37 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB7) <=> (~(v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2))))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38135,plain,
% 9.79/7.37 (v139(constB7) <=> (~(v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2)))),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38134, 360])).
% 9.79/7.37 tff(38136,plain,
% 9.79/7.37 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)))),
% 9.79/7.37 inference(rewrite,[status(thm)],[])).
% 9.79/7.37 tff(38137,plain,
% 9.79/7.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)))),
% 9.79/7.37 inference(quant_inst,[status(thm)],[])).
% 9.79/7.37 tff(38138,plain,
% 9.79/7.37 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1))),
% 9.79/7.37 inference(modus_ponens,[status(thm)],[38137, 38136])).
% 9.79/7.37 tff(38139,plain,
% 9.79/7.37 (v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1)),
% 9.79/7.37 inference(unit_resolution,[status(thm)],[38138, 375, 372])).
% 9.79/7.37 tff(38140,plain,
% 9.79/7.37 ((~(v88(constB7, bitIndex1) <=> v90(constB7, bitIndex1))) | v88(constB7, bitIndex1) | (~v90(constB7, bitIndex1))),
% 9.79/7.37 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38141,plain,
% 9.79/7.38 (v88(constB7, bitIndex1)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38140, 10298, 38139])).
% 9.79/7.38 tff(38142,plain,
% 9.79/7.38 ((v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2)) | (~v88(constB7, bitIndex1))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38143,plain,
% 9.79/7.38 (v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38142, 38141])).
% 9.79/7.38 tff(38144,plain,
% 9.79/7.38 ((~(v139(constB7) <=> (~(v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2))))) | (~v139(constB7)) | (~(v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2)))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38145,plain,
% 9.79/7.38 (~v139(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38144, 38143, 38135])).
% 9.79/7.38 tff(38146,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38147,plain,
% 9.79/7.38 ((v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))))) <=> (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38148,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))))),
% 9.79/7.38 inference(monotonicity,[status(thm)],[38147])).
% 9.79/7.38 tff(38149,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))))),
% 9.79/7.38 inference(transitivity,[status(thm)],[38148, 38146])).
% 9.79/7.38 tff(38150,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38151,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38150, 38149])).
% 9.79/7.38 tff(38152,plain,
% 9.79/7.38 (v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38151, 25795])).
% 9.79/7.38 tff(38153,plain,
% 9.79/7.38 ((v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))) | (~v88(constB7, bitIndex1))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38154,plain,
% 9.79/7.38 (v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38153, 38141])).
% 9.79/7.38 tff(38155,plain,
% 9.79/7.38 ((~(v140(constB7) <=> (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)))))) | (~v140(constB7)) | (~(v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0))))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38156,plain,
% 9.79/7.38 (~v140(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38155, 38154, 38152])).
% 9.79/7.38 tff(38157,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB7) | v140(constB7) | (~v168(constB7)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB7) | v140(constB7) | (~v168(constB7)))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38158,plain,
% 9.79/7.38 ((v140(constB7) | v139(constB7) | (~v168(constB7))) <=> (v139(constB7) | v140(constB7) | (~v168(constB7)))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38159,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v168(constB7)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB7) | v140(constB7) | (~v168(constB7))))),
% 9.79/7.38 inference(monotonicity,[status(thm)],[38158])).
% 9.79/7.38 tff(38160,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v168(constB7)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB7) | v140(constB7) | (~v168(constB7)))),
% 9.79/7.38 inference(transitivity,[status(thm)],[38159, 38157])).
% 9.79/7.38 tff(38161,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v168(constB7)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38162,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB7) | v140(constB7) | (~v168(constB7))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38161, 38160])).
% 9.79/7.38 tff(38163,plain,
% 9.79/7.38 (v139(constB7) | v140(constB7) | (~v168(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38162, 25819])).
% 9.79/7.38 tff(38164,plain,
% 9.79/7.38 (~v168(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38163, 38156, 38145])).
% 9.79/7.38 tff(38165,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB7) <=> (v145(constB7) | v165(constB7)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38166,plain,
% 9.79/7.38 (v164(constB7) <=> (v145(constB7) | v165(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38165, 25834])).
% 9.79/7.38 tff(38167,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB7) <=> (v142(constB7) | v166(constB7)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38168,plain,
% 9.79/7.38 (v165(constB7) <=> (v142(constB7) | v166(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38167, 25846])).
% 9.79/7.38 tff(38169,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB7) <=> (v141(constB7) | v167(constB7)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38170,plain,
% 9.79/7.38 (v166(constB7) <=> (v141(constB7) | v167(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38169, 26362])).
% 9.79/7.38 tff(38171,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38172,plain,
% 9.79/7.38 (v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38171, 26377])).
% 9.79/7.38 tff(38173,plain,
% 9.79/7.38 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38174,plain,
% 9.79/7.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38175,plain,
% 9.79/7.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38174, 38173])).
% 9.79/7.38 tff(38176,plain,
% 9.79/7.38 (v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38175, 648, 372])).
% 9.79/7.38 tff(38177,plain,
% 9.79/7.38 ((~(v88(constB7, bitIndex2) <=> v90(constB7, bitIndex2))) | (~v88(constB7, bitIndex2)) | v90(constB7, bitIndex2)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38178,plain,
% 9.79/7.38 (~v88(constB7, bitIndex2)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38177, 10230, 38176])).
% 9.79/7.38 tff(38179,plain,
% 9.79/7.38 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38180,plain,
% 9.79/7.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38181,plain,
% 9.79/7.38 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38180, 38179])).
% 9.79/7.38 tff(38182,plain,
% 9.79/7.38 (v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38181, 9653, 372])).
% 9.79/7.38 tff(38183,plain,
% 9.79/7.38 ((~(v88(constB7, bitIndex0) <=> v90(constB7, bitIndex0))) | v88(constB7, bitIndex0) | (~v90(constB7, bitIndex0))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38184,plain,
% 9.79/7.38 (v88(constB7, bitIndex0)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38183, 10264, 38182])).
% 9.79/7.38 tff(38185,plain,
% 9.79/7.38 ((~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38186,plain,
% 9.79/7.38 (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38185, 38141, 38184, 38178])).
% 9.79/7.38 tff(38187,plain,
% 9.79/7.38 ((~(v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))))) | v141(constB7) | (v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38188,plain,
% 9.79/7.38 (v141(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38187, 38186, 38172])).
% 9.79/7.38 tff(38189,plain,
% 9.79/7.38 ((v141(constB7) | v167(constB7)) | (~v141(constB7))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38190,plain,
% 9.79/7.38 (v141(constB7) | v167(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38189, 38188])).
% 9.79/7.38 tff(38191,plain,
% 9.79/7.38 ((~(v166(constB7) <=> (v141(constB7) | v167(constB7)))) | v166(constB7) | (~(v141(constB7) | v167(constB7)))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38192,plain,
% 9.79/7.38 (v166(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38191, 38190, 38170])).
% 9.79/7.38 tff(38193,plain,
% 9.79/7.38 ((v142(constB7) | v166(constB7)) | (~v166(constB7))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38194,plain,
% 9.79/7.38 (v142(constB7) | v166(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38193, 38192])).
% 9.79/7.38 tff(38195,plain,
% 9.79/7.38 ((~(v165(constB7) <=> (v142(constB7) | v166(constB7)))) | v165(constB7) | (~(v142(constB7) | v166(constB7)))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38196,plain,
% 9.79/7.38 (v165(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38195, 38194, 38168])).
% 9.79/7.38 tff(38197,plain,
% 9.79/7.38 ((v145(constB7) | v165(constB7)) | (~v165(constB7))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38198,plain,
% 9.79/7.38 (v145(constB7) | v165(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38197, 38196])).
% 9.79/7.38 tff(38199,plain,
% 9.79/7.38 ((~(v164(constB7) <=> (v145(constB7) | v165(constB7)))) | v164(constB7) | (~(v145(constB7) | v165(constB7)))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38200,plain,
% 9.79/7.38 (v164(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38199, 38198, 38166])).
% 9.79/7.38 tff(38201,plain,
% 9.79/7.38 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB7)) | (v161(constB7) <=> v168(constB7)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB7)) | (v161(constB7) <=> v168(constB7)))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38202,plain,
% 9.79/7.38 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB7)) | (v161(constB7) <=> v168(constB7)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38203,plain,
% 9.79/7.38 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB7)) | (v161(constB7) <=> v168(constB7))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38202, 38201])).
% 9.79/7.38 tff(38204,plain,
% 9.79/7.38 ((~v164(constB7)) | (v161(constB7) <=> v168(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38203, 25977])).
% 9.79/7.38 tff(38205,plain,
% 9.79/7.38 (v161(constB7) <=> v168(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38204, 38200])).
% 9.79/7.38 tff(38206,plain,
% 9.79/7.38 ((~(v161(constB7) <=> v168(constB7))) | (~v161(constB7)) | v168(constB7)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38207,plain,
% 9.79/7.38 (~v161(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38206, 38205, 38164])).
% 9.79/7.38 tff(38208,plain,
% 9.79/7.38 ((~(v159(constB7) <=> v161(constB7))) | (~v159(constB7)) | v161(constB7)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38209,plain,
% 9.79/7.38 ((~(v159(constB7) <=> v161(constB7))) | (~v159(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38208, 38207])).
% 9.79/7.38 tff(38210,plain,
% 9.79/7.38 (~v159(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38209, 38133])).
% 9.79/7.38 tff(38211,plain,
% 9.79/7.38 (((~v184(constB7)) | (~v159(constB7))) | v159(constB7)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38212,plain,
% 9.79/7.38 ((~v184(constB7)) | (~v159(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38211, 38210])).
% 9.79/7.38 tff(38213,plain,
% 9.79/7.38 ((~(v187(constB7) <=> (~((~v184(constB7)) | (~v159(constB7)))))) | (~v187(constB7)) | (~((~v184(constB7)) | (~v159(constB7))))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38214,plain,
% 9.79/7.38 (~v187(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38213, 38212, 38131])).
% 9.79/7.38 tff(38215,plain,
% 9.79/7.38 (((~v186(constB7)) | (~v187(constB7))) | v187(constB7)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38216,plain,
% 9.79/7.38 ((~v186(constB7)) | (~v187(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38215, 38214])).
% 9.79/7.38 tff(38217,plain,
% 9.79/7.38 ((~(v185(constB7) <=> (~((~v186(constB7)) | (~v187(constB7)))))) | (~v185(constB7)) | (~((~v186(constB7)) | (~v187(constB7))))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38218,plain,
% 9.79/7.38 (~v185(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38217, 38216, 38129])).
% 9.79/7.38 tff(38219,plain,
% 9.79/7.38 ((~(v181(constB7) | v185(constB7))) | v181(constB7) | v185(constB7)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38220,plain,
% 9.79/7.38 (~(v181(constB7) | v185(constB7))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38219, 38218, 38127])).
% 9.79/7.38 tff(38221,plain,
% 9.79/7.38 ((~(v178(constB7) <=> (v181(constB7) | v185(constB7)))) | (~v178(constB7)) | (v181(constB7) | v185(constB7))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38222,plain,
% 9.79/7.38 (~v178(constB7)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38221, 38220, 38054])).
% 9.79/7.38 tff(38223,plain,
% 9.79/7.38 ((~(v180(constB8) <=> v178(constB7))) | (~v180(constB8)) | v178(constB7)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38224,plain,
% 9.79/7.38 (~v180(constB8)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38223, 38222, 38052])).
% 9.79/7.38 tff(38225,plain,
% 9.79/7.38 ((~(v157(constB8) <=> v180(constB8))) | (~v157(constB8)) | v180(constB8)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38226,plain,
% 9.79/7.38 (~v157(constB8)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38225, 38224, 38048])).
% 9.79/7.38 tff(38227,plain,
% 9.79/7.38 (((~v157(constB8)) | (~v182(constB8))) | v157(constB8)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38228,plain,
% 9.79/7.38 ((~v157(constB8)) | (~v182(constB8))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38227, 38226])).
% 9.79/7.38 tff(38229,plain,
% 9.79/7.38 ((~(v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8)))))) | (~v181(constB8)) | (~((~v157(constB8)) | (~v182(constB8))))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38230,plain,
% 9.79/7.38 (~v181(constB8)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38229, 38228, 38046])).
% 9.79/7.38 tff(38231,plain,
% 9.79/7.38 ((~(v181(constB8) | v185(constB8))) | v181(constB8) | v185(constB8)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38232,plain,
% 9.79/7.38 (~(v181(constB8) | v185(constB8))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38231, 38230, 38039])).
% 9.79/7.38 tff(38233,plain,
% 9.79/7.38 ((~(v178(constB8) <=> (v181(constB8) | v185(constB8)))) | (~v178(constB8)) | (v181(constB8) | v185(constB8))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38234,plain,
% 9.79/7.38 (~v178(constB8)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38233, 38232, 38014])).
% 9.79/7.38 tff(38235,plain,
% 9.79/7.38 ((~(v180(constB9) <=> v178(constB8))) | (~v180(constB9)) | v178(constB8)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38236,plain,
% 9.79/7.38 (~v180(constB9)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38235, 38234, 38012])).
% 9.79/7.38 tff(38237,plain,
% 9.79/7.38 ($false),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38236, 38008])).
% 9.79/7.38 tff(38238,plain,(~(constB9 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.79/7.38 tff(38239,assumption,(constB57 = VarCurr!0), introduced(assumption)).
% 9.79/7.38 tff(38240,plain,
% 9.79/7.38 (v180(constB57) <=> v180(VarCurr!0)),
% 9.79/7.38 inference(monotonicity,[status(thm)],[38239])).
% 9.79/7.38 tff(38241,plain,
% 9.79/7.38 (v180(VarCurr!0) <=> v180(constB57)),
% 9.79/7.38 inference(symmetry,[status(thm)],[38240])).
% 9.79/7.38 tff(38242,plain,
% 9.79/7.38 (v180(constB57)),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[59, 38241])).
% 9.79/7.38 tff(38243,plain,
% 9.79/7.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB56, constB57)) | (v180(constB57) <=> v178(constB56)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB56, constB57)) | (v180(constB57) <=> v178(constB56)))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38244,plain,
% 9.79/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB56, constB57)) | (v180(constB57) <=> v178(constB56)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38245,plain,
% 9.79/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB56, constB57)) | (v180(constB57) <=> v178(constB56))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38244, 38243])).
% 9.79/7.38 tff(38246,plain,
% 9.79/7.38 (v180(constB57) <=> v178(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38245, 7027, 70])).
% 9.79/7.38 tff(38247,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB56) <=> (v181(constB56) | v185(constB56)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38248,plain,
% 9.79/7.38 (v178(constB56) <=> (v181(constB56) | v185(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38247, 84])).
% 9.79/7.38 tff(38249,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB56) <=> (~((~v186(constB56)) | (~v187(constB56)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38250,plain,
% 9.79/7.38 (v185(constB56) <=> (~((~v186(constB56)) | (~v187(constB56))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38249, 96])).
% 9.79/7.38 tff(38251,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB56) <=> (~((~v184(constB56)) | (~v159(constB56)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38252,plain,
% 9.79/7.38 (v187(constB56) <=> (~((~v184(constB56)) | (~v159(constB56))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38251, 108])).
% 9.79/7.38 tff(38253,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38254,plain,
% 9.79/7.38 (v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38253, 120])).
% 9.79/7.38 tff(38255,plain,
% 9.79/7.38 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB56)) <=> v1(constB56))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38256,plain,
% 9.79/7.38 ((~v39(constB56)) <=> v1(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38255, 129])).
% 9.79/7.38 tff(38257,plain,
% 9.79/7.38 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56)) | (~v1(constB56))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38258,plain,
% 9.79/7.38 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38257, 7089])).
% 9.79/7.38 tff(38259,plain,
% 9.79/7.38 (~v39(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38258, 38256])).
% 9.79/7.38 tff(38260,plain,
% 9.79/7.38 (((~v39(constB56)) | (~v9(constB56))) | v39(constB56)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38261,plain,
% 9.79/7.38 ((~v39(constB56)) | (~v9(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38260, 38259])).
% 9.79/7.38 tff(38262,plain,
% 9.79/7.38 ((~(v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v184(constB56)) | (~((~v39(constB56)) | (~v9(constB56))))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38263,plain,
% 9.79/7.38 ((~(v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v184(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38262, 38261])).
% 9.79/7.38 tff(38264,plain,
% 9.79/7.38 (~v184(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38263, 38254])).
% 9.79/7.38 tff(38265,plain,
% 9.79/7.38 (((~v184(constB56)) | (~v159(constB56))) | v184(constB56)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38266,plain,
% 9.79/7.38 ((~v184(constB56)) | (~v159(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38265, 38264])).
% 9.79/7.38 tff(38267,plain,
% 9.79/7.38 ((~(v187(constB56) <=> (~((~v184(constB56)) | (~v159(constB56)))))) | (~v187(constB56)) | (~((~v184(constB56)) | (~v159(constB56))))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38268,plain,
% 9.79/7.38 ((~(v187(constB56) <=> (~((~v184(constB56)) | (~v159(constB56)))))) | (~v187(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38267, 38266])).
% 9.79/7.38 tff(38269,plain,
% 9.79/7.38 (~v187(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38268, 38252])).
% 9.79/7.38 tff(38270,plain,
% 9.79/7.38 (((~v186(constB56)) | (~v187(constB56))) | v187(constB56)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38271,plain,
% 9.79/7.38 ((~v186(constB56)) | (~v187(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38270, 38269])).
% 9.79/7.38 tff(38272,plain,
% 9.79/7.38 ((~(v185(constB56) <=> (~((~v186(constB56)) | (~v187(constB56)))))) | (~v185(constB56)) | (~((~v186(constB56)) | (~v187(constB56))))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38273,plain,
% 9.79/7.38 (~v185(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38272, 38271, 38250])).
% 9.79/7.38 tff(38274,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56))))))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38275,plain,
% 9.79/7.38 ((v181(constB56) <=> (~((~v182(constB56)) | (~v157(constB56))))) <=> (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56)))))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38276,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v182(constB56)) | (~v157(constB56)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56))))))),
% 9.79/7.38 inference(monotonicity,[status(thm)],[38275])).
% 9.79/7.38 tff(38277,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v182(constB56)) | (~v157(constB56)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56))))))),
% 9.79/7.38 inference(transitivity,[status(thm)],[38276, 38274])).
% 9.79/7.38 tff(38278,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v182(constB56)) | (~v157(constB56)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38279,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56)))))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38278, 38277])).
% 9.79/7.38 tff(38280,plain,
% 9.79/7.38 (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38279, 161])).
% 9.79/7.38 tff(38281,plain,
% 9.79/7.38 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB56) <=> v180(constB56))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38282,plain,
% 9.79/7.38 (v157(constB56) <=> v180(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38281, 13])).
% 9.79/7.38 tff(38283,plain,
% 9.79/7.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB55, constB56)) | (v180(constB56) <=> v178(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB55, constB56)) | (v180(constB56) <=> v178(constB55)))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38284,plain,
% 9.79/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB55, constB56)) | (v180(constB56) <=> v178(constB55)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38285,plain,
% 9.79/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB55, constB56)) | (v180(constB56) <=> v178(constB55))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38284, 38283])).
% 9.79/7.38 tff(38286,plain,
% 9.79/7.38 (v180(constB56) <=> v178(constB55)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38285, 7059, 70])).
% 9.79/7.38 tff(38287,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB55) <=> (v181(constB55) | v185(constB55)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38288,plain,
% 9.79/7.38 (v178(constB55) <=> (v181(constB55) | v185(constB55))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38287, 84])).
% 9.79/7.38 tff(38289,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55))))))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38290,plain,
% 9.79/7.38 ((v181(constB55) <=> (~((~v182(constB55)) | (~v157(constB55))))) <=> (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55)))))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38291,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v182(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55))))))),
% 9.79/7.38 inference(monotonicity,[status(thm)],[38290])).
% 9.79/7.38 tff(38292,plain,
% 9.79/7.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v182(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55))))))),
% 9.79/7.38 inference(transitivity,[status(thm)],[38291, 38289])).
% 9.79/7.38 tff(38293,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v182(constB55)) | (~v157(constB55)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38294,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55)))))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38293, 38292])).
% 9.79/7.38 tff(38295,plain,
% 9.79/7.38 (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38294, 161])).
% 9.79/7.38 tff(38296,plain,
% 9.79/7.38 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB55)) <=> v183(constB55))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38297,plain,
% 9.79/7.38 ((~v182(constB55)) <=> v183(constB55)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38296, 193])).
% 9.79/7.38 tff(38298,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB55) <=> (v184(constB55) | v26(constB55)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38299,plain,
% 9.79/7.38 (v183(constB55) <=> (v184(constB55) | v26(constB55))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38298, 202])).
% 9.79/7.38 tff(38300,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38301,plain,
% 9.79/7.38 (v184(constB55) <=> (~((~v39(constB55)) | (~v9(constB55))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38300, 120])).
% 9.79/7.38 tff(38302,plain,
% 9.79/7.38 (((~![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)))),
% 9.79/7.38 inference(rewrite,[status(thm)],[])).
% 9.79/7.38 tff(38303,plain,
% 9.79/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38304,plain,
% 9.79/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55))),
% 9.79/7.38 inference(modus_ponens,[status(thm)],[38303, 38302])).
% 9.79/7.38 tff(38305,plain,
% 9.79/7.38 (v13(constB56) <=> v9(constB55)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38304, 7059, 216])).
% 9.79/7.38 tff(38306,plain,
% 9.79/7.38 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB56) <=> v13(constB56))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38307,plain,
% 9.79/7.38 (v6(constB56) <=> v13(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38306, 230])).
% 9.79/7.38 tff(38308,plain,
% 9.79/7.38 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB56)) <=> v6(constB56))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38309,plain,
% 9.79/7.38 ((~v21(constB56)) <=> v6(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38308, 239])).
% 9.79/7.38 tff(38310,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB56) <=> (v20(constB56) | v21(constB56)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38311,plain,
% 9.79/7.38 (v19(constB56) <=> (v20(constB56) | v21(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38310, 248])).
% 9.79/7.38 tff(38312,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38313,plain,
% 9.79/7.38 (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56))))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38312, 260])).
% 9.79/7.38 tff(38314,plain,
% 9.79/7.38 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB56)) <=> v18(constB56))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38315,plain,
% 9.79/7.38 ((~v4(constB56)) <=> v18(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38314, 269])).
% 9.79/7.38 tff(38316,plain,
% 9.79/7.38 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB56)),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38317,plain,
% 9.79/7.38 (v4(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38316, 278])).
% 9.79/7.38 tff(38318,plain,
% 9.79/7.38 ((~((~v4(constB56)) <=> v18(constB56))) | (~v4(constB56)) | (~v18(constB56))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38319,plain,
% 9.79/7.38 (~v18(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38318, 38317, 38315])).
% 9.79/7.38 tff(38320,plain,
% 9.79/7.38 ((~(v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))) | v18(constB56) | ((~v19(constB56)) | (~v22(constB56)))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38321,plain,
% 9.79/7.38 ((~v19(constB56)) | (~v22(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38320, 38319, 38313])).
% 9.79/7.38 tff(38322,plain,
% 9.79/7.38 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB56) <=> (v1(constB56) | v6(constB56)))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38323,plain,
% 9.79/7.38 (v22(constB56) <=> (v1(constB56) | v6(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38322, 291])).
% 9.79/7.38 tff(38324,plain,
% 9.79/7.38 ((v1(constB56) | v6(constB56)) | (~v1(constB56))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38325,plain,
% 9.79/7.38 (v1(constB56) | v6(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38324, 7089])).
% 9.79/7.38 tff(38326,plain,
% 9.79/7.38 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56) | (~(v1(constB56) | v6(constB56)))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38327,plain,
% 9.79/7.38 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38326, 38325])).
% 9.79/7.38 tff(38328,plain,
% 9.79/7.38 (v22(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38327, 38323])).
% 9.79/7.38 tff(38329,plain,
% 9.79/7.38 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56)) | (~v22(constB56))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38330,plain,
% 9.79/7.38 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38329, 38328])).
% 9.79/7.38 tff(38331,plain,
% 9.79/7.38 (~v19(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38330, 38321])).
% 9.79/7.38 tff(38332,plain,
% 9.79/7.38 ((~(v19(constB56) <=> (v20(constB56) | v21(constB56)))) | v19(constB56) | (~(v20(constB56) | v21(constB56)))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38333,plain,
% 9.79/7.38 (~(v20(constB56) | v21(constB56))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38332, 38331, 38311])).
% 9.79/7.38 tff(38334,plain,
% 9.79/7.38 ((v20(constB56) | v21(constB56)) | (~v21(constB56))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38335,plain,
% 9.79/7.38 (~v21(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38334, 38333])).
% 9.79/7.38 tff(38336,plain,
% 9.79/7.38 ((~((~v21(constB56)) <=> v6(constB56))) | v21(constB56) | v6(constB56)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38337,plain,
% 9.79/7.38 (v6(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38336, 38335, 38309])).
% 9.79/7.38 tff(38338,plain,
% 9.79/7.38 ((~(v6(constB56) <=> v13(constB56))) | (~v6(constB56)) | v13(constB56)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38339,plain,
% 9.79/7.38 (v13(constB56)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38338, 38337, 38307])).
% 9.79/7.38 tff(38340,plain,
% 9.79/7.38 ((~(v13(constB56) <=> v9(constB55))) | (~v13(constB56)) | v9(constB55)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38341,plain,
% 9.79/7.38 (v9(constB55)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38340, 38339, 38305])).
% 9.79/7.38 tff(38342,plain,
% 9.79/7.38 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB55)) <=> v1(constB55))),
% 9.79/7.38 inference(quant_inst,[status(thm)],[])).
% 9.79/7.38 tff(38343,plain,
% 9.79/7.38 ((~v39(constB55)) <=> v1(constB55)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38342, 129])).
% 9.79/7.38 tff(38344,plain,
% 9.79/7.38 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55) | v1(constB55)),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38345,plain,
% 9.79/7.38 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38344, 7081])).
% 9.79/7.38 tff(38346,plain,
% 9.79/7.38 (v39(constB55)),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38345, 38343])).
% 9.79/7.38 tff(38347,plain,
% 9.79/7.38 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v39(constB55)) | (~v9(constB55))),
% 9.79/7.38 inference(tautology,[status(thm)],[])).
% 9.79/7.38 tff(38348,plain,
% 9.79/7.38 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v9(constB55))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38347, 38346])).
% 9.79/7.38 tff(38349,plain,
% 9.79/7.38 (~((~v39(constB55)) | (~v9(constB55)))),
% 9.79/7.38 inference(unit_resolution,[status(thm)],[38348, 38341])).
% 9.79/7.39 tff(38350,plain,
% 9.79/7.39 ((~(v184(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))) | v184(constB55) | ((~v39(constB55)) | (~v9(constB55)))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38351,plain,
% 9.79/7.39 (v184(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38350, 38349, 38301])).
% 9.79/7.39 tff(38352,plain,
% 9.79/7.39 ((v184(constB55) | v26(constB55)) | (~v184(constB55))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38353,plain,
% 9.79/7.39 (v184(constB55) | v26(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38352, 38351])).
% 9.79/7.39 tff(38354,plain,
% 9.79/7.39 ((~(v183(constB55) <=> (v184(constB55) | v26(constB55)))) | v183(constB55) | (~(v184(constB55) | v26(constB55)))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38355,plain,
% 9.79/7.39 (v183(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38354, 38353, 38299])).
% 9.79/7.39 tff(38356,plain,
% 9.79/7.39 ((~((~v182(constB55)) <=> v183(constB55))) | (~v182(constB55)) | (~v183(constB55))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38357,plain,
% 9.79/7.39 (~v182(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38356, 38355, 38297])).
% 9.79/7.39 tff(38358,plain,
% 9.79/7.39 (((~v157(constB55)) | (~v182(constB55))) | v182(constB55)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38359,plain,
% 9.79/7.39 ((~v157(constB55)) | (~v182(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38358, 38357])).
% 9.79/7.39 tff(38360,plain,
% 9.79/7.39 ((~(v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55)))))) | (~v181(constB55)) | (~((~v157(constB55)) | (~v182(constB55))))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38361,plain,
% 9.79/7.39 (~v181(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38360, 38359, 38295])).
% 9.79/7.39 tff(38362,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB55) <=> (~((~v186(constB55)) | (~v187(constB55)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38363,plain,
% 9.79/7.39 (v185(constB55) <=> (~((~v186(constB55)) | (~v187(constB55))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38362, 96])).
% 9.79/7.39 tff(38364,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB55) <=> (~((~v184(constB55)) | (~v159(constB55)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38365,plain,
% 9.79/7.39 (v187(constB55) <=> (~((~v184(constB55)) | (~v159(constB55))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38364, 108])).
% 9.79/7.39 tff(38366,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB55) <=> v161(constB55))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38367,plain,
% 9.79/7.39 (v159(constB55) <=> v161(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38366, 345])).
% 9.79/7.39 tff(38368,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB55) <=> (~(v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38369,plain,
% 9.79/7.39 (v139(constB55) <=> (~(v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2)))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38368, 360])).
% 9.79/7.39 tff(38370,plain,
% 9.79/7.39 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38371,plain,
% 9.79/7.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38372,plain,
% 9.79/7.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38371, 38370])).
% 9.79/7.39 tff(38373,plain,
% 9.79/7.39 (v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38372, 375, 372])).
% 9.79/7.39 tff(38374,plain,
% 9.79/7.39 ((~(v88(constB55, bitIndex1) <=> v90(constB55, bitIndex1))) | v88(constB55, bitIndex1) | (~v90(constB55, bitIndex1))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38375,plain,
% 9.79/7.39 (v88(constB55, bitIndex1)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38374, 14284, 38373])).
% 9.79/7.39 tff(38376,plain,
% 9.79/7.39 ((v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38377,plain,
% 9.79/7.39 (v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38376, 38375])).
% 9.79/7.39 tff(38378,plain,
% 9.79/7.39 ((~(v139(constB55) <=> (~(v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2))))) | (~v139(constB55)) | (~(v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2)))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38379,plain,
% 9.79/7.39 (~v139(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38378, 38377, 38369])).
% 9.79/7.39 tff(38380,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0))))))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38381,plain,
% 9.79/7.39 ((v140(constB55) <=> (~(v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))))) <=> (v140(constB55) <=> (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0)))))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38382,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0))))))),
% 9.79/7.39 inference(monotonicity,[status(thm)],[38381])).
% 9.79/7.39 tff(38383,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0))))))),
% 9.79/7.39 inference(transitivity,[status(thm)],[38382, 38380])).
% 9.79/7.39 tff(38384,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38385,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0)))))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38384, 38383])).
% 9.79/7.39 tff(38386,plain,
% 9.79/7.39 (v140(constB55) <=> (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38385, 25795])).
% 9.79/7.39 tff(38387,plain,
% 9.79/7.39 ((v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0))) | (~v88(constB55, bitIndex1))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38388,plain,
% 9.79/7.39 (v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38387, 38375])).
% 9.79/7.39 tff(38389,plain,
% 9.79/7.39 ((~(v140(constB55) <=> (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0)))))) | (~v140(constB55)) | (~(v88(constB55, bitIndex2) | v88(constB55, bitIndex1) | (~v88(constB55, bitIndex0))))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38390,plain,
% 9.79/7.39 (~v140(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38389, 38388, 38386])).
% 9.79/7.39 tff(38391,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB55) | v140(constB55) | (~v168(constB55)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB55) | v140(constB55) | (~v168(constB55)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38392,plain,
% 9.79/7.39 ((v140(constB55) | v139(constB55) | (~v168(constB55))) <=> (v139(constB55) | v140(constB55) | (~v168(constB55)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38393,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v168(constB55)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB55) | v140(constB55) | (~v168(constB55))))),
% 9.79/7.39 inference(monotonicity,[status(thm)],[38392])).
% 9.79/7.39 tff(38394,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v168(constB55)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB55) | v140(constB55) | (~v168(constB55)))),
% 9.79/7.39 inference(transitivity,[status(thm)],[38393, 38391])).
% 9.79/7.39 tff(38395,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v168(constB55)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38396,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB55) | v140(constB55) | (~v168(constB55))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38395, 38394])).
% 9.79/7.39 tff(38397,plain,
% 9.79/7.39 (v139(constB55) | v140(constB55) | (~v168(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38396, 25819])).
% 9.79/7.39 tff(38398,plain,
% 9.79/7.39 (~v168(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38397, 38390, 38379])).
% 9.79/7.39 tff(38399,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB55) <=> (v145(constB55) | v165(constB55)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38400,plain,
% 9.79/7.39 (v164(constB55) <=> (v145(constB55) | v165(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38399, 25834])).
% 9.79/7.39 tff(38401,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB55) <=> (v142(constB55) | v166(constB55)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38402,plain,
% 9.79/7.39 (v165(constB55) <=> (v142(constB55) | v166(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38401, 25846])).
% 9.79/7.39 tff(38403,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB55) <=> (v141(constB55) | v167(constB55)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38404,plain,
% 9.79/7.39 (v166(constB55) <=> (v141(constB55) | v167(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38403, 26362])).
% 9.79/7.39 tff(38405,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38406,plain,
% 9.79/7.39 (v141(constB55) <=> (~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38405, 26377])).
% 9.79/7.39 tff(38407,plain,
% 9.79/7.39 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38408,plain,
% 9.79/7.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38409,plain,
% 9.79/7.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38408, 38407])).
% 9.79/7.39 tff(38410,plain,
% 9.79/7.39 (v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38409, 648, 372])).
% 9.79/7.39 tff(38411,plain,
% 9.79/7.39 ((~(v88(constB55, bitIndex2) <=> v90(constB55, bitIndex2))) | (~v88(constB55, bitIndex2)) | v90(constB55, bitIndex2)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38412,plain,
% 9.79/7.39 (~v88(constB55, bitIndex2)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38411, 14222, 38410])).
% 9.79/7.39 tff(38413,plain,
% 9.79/7.39 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38414,plain,
% 9.79/7.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38415,plain,
% 9.79/7.39 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38414, 38413])).
% 9.79/7.39 tff(38416,plain,
% 9.79/7.39 (v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38415, 9653, 372])).
% 9.79/7.39 tff(38417,plain,
% 9.79/7.39 ((~(v88(constB55, bitIndex0) <=> v90(constB55, bitIndex0))) | v88(constB55, bitIndex0) | (~v90(constB55, bitIndex0))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38418,plain,
% 9.79/7.39 (v88(constB55, bitIndex0)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38417, 14253, 38416])).
% 9.79/7.39 tff(38419,plain,
% 9.79/7.39 ((~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)))) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38420,plain,
% 9.79/7.39 (~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38419, 38375, 38418, 38412])).
% 9.79/7.39 tff(38421,plain,
% 9.79/7.39 ((~(v141(constB55) <=> (~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)))))) | v141(constB55) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38422,plain,
% 9.79/7.39 (v141(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38421, 38420, 38406])).
% 9.79/7.39 tff(38423,plain,
% 9.79/7.39 ((v141(constB55) | v167(constB55)) | (~v141(constB55))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38424,plain,
% 9.79/7.39 (v141(constB55) | v167(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38423, 38422])).
% 9.79/7.39 tff(38425,plain,
% 9.79/7.39 ((~(v166(constB55) <=> (v141(constB55) | v167(constB55)))) | v166(constB55) | (~(v141(constB55) | v167(constB55)))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38426,plain,
% 9.79/7.39 (v166(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38425, 38424, 38404])).
% 9.79/7.39 tff(38427,plain,
% 9.79/7.39 ((v142(constB55) | v166(constB55)) | (~v166(constB55))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38428,plain,
% 9.79/7.39 (v142(constB55) | v166(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38427, 38426])).
% 9.79/7.39 tff(38429,plain,
% 9.79/7.39 ((~(v165(constB55) <=> (v142(constB55) | v166(constB55)))) | v165(constB55) | (~(v142(constB55) | v166(constB55)))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38430,plain,
% 9.79/7.39 (v165(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38429, 38428, 38402])).
% 9.79/7.39 tff(38431,plain,
% 9.79/7.39 ((v145(constB55) | v165(constB55)) | (~v165(constB55))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38432,plain,
% 9.79/7.39 (v145(constB55) | v165(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38431, 38430])).
% 9.79/7.39 tff(38433,plain,
% 9.79/7.39 ((~(v164(constB55) <=> (v145(constB55) | v165(constB55)))) | v164(constB55) | (~(v145(constB55) | v165(constB55)))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38434,plain,
% 9.79/7.39 (v164(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38433, 38432, 38400])).
% 9.79/7.39 tff(38435,plain,
% 9.79/7.39 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB55)) | (v161(constB55) <=> v168(constB55)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB55)) | (v161(constB55) <=> v168(constB55)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38436,plain,
% 9.79/7.39 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB55)) | (v161(constB55) <=> v168(constB55)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38437,plain,
% 9.79/7.39 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB55)) | (v161(constB55) <=> v168(constB55))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38436, 38435])).
% 9.79/7.39 tff(38438,plain,
% 9.79/7.39 ((~v164(constB55)) | (v161(constB55) <=> v168(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38437, 25977])).
% 9.79/7.39 tff(38439,plain,
% 9.79/7.39 (v161(constB55) <=> v168(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38438, 38434])).
% 9.79/7.39 tff(38440,plain,
% 9.79/7.39 ((~(v161(constB55) <=> v168(constB55))) | (~v161(constB55)) | v168(constB55)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38441,plain,
% 9.79/7.39 (~v161(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38440, 38439, 38398])).
% 9.79/7.39 tff(38442,plain,
% 9.79/7.39 ((~(v159(constB55) <=> v161(constB55))) | (~v159(constB55)) | v161(constB55)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38443,plain,
% 9.79/7.39 ((~(v159(constB55) <=> v161(constB55))) | (~v159(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38442, 38441])).
% 9.79/7.39 tff(38444,plain,
% 9.79/7.39 (~v159(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38443, 38367])).
% 9.79/7.39 tff(38445,plain,
% 9.79/7.39 (((~v184(constB55)) | (~v159(constB55))) | v159(constB55)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38446,plain,
% 9.79/7.39 ((~v184(constB55)) | (~v159(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38445, 38444])).
% 9.79/7.39 tff(38447,plain,
% 9.79/7.39 ((~(v187(constB55) <=> (~((~v184(constB55)) | (~v159(constB55)))))) | (~v187(constB55)) | (~((~v184(constB55)) | (~v159(constB55))))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38448,plain,
% 9.79/7.39 (~v187(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38447, 38446, 38365])).
% 9.79/7.39 tff(38449,plain,
% 9.79/7.39 (((~v186(constB55)) | (~v187(constB55))) | v187(constB55)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38450,plain,
% 9.79/7.39 ((~v186(constB55)) | (~v187(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38449, 38448])).
% 9.79/7.39 tff(38451,plain,
% 9.79/7.39 ((~(v185(constB55) <=> (~((~v186(constB55)) | (~v187(constB55)))))) | (~v185(constB55)) | (~((~v186(constB55)) | (~v187(constB55))))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38452,plain,
% 9.79/7.39 (~v185(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38451, 38450, 38363])).
% 9.79/7.39 tff(38453,plain,
% 9.79/7.39 ((~(v181(constB55) | v185(constB55))) | v181(constB55) | v185(constB55)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38454,plain,
% 9.79/7.39 (~(v181(constB55) | v185(constB55))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38453, 38452, 38361])).
% 9.79/7.39 tff(38455,plain,
% 9.79/7.39 ((~(v178(constB55) <=> (v181(constB55) | v185(constB55)))) | (~v178(constB55)) | (v181(constB55) | v185(constB55))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38456,plain,
% 9.79/7.39 (~v178(constB55)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38455, 38454, 38288])).
% 9.79/7.39 tff(38457,plain,
% 9.79/7.39 ((~(v180(constB56) <=> v178(constB55))) | (~v180(constB56)) | v178(constB55)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38458,plain,
% 9.79/7.39 (~v180(constB56)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38457, 38456, 38286])).
% 9.79/7.39 tff(38459,plain,
% 9.79/7.39 ((~(v157(constB56) <=> v180(constB56))) | (~v157(constB56)) | v180(constB56)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38460,plain,
% 9.79/7.39 (~v157(constB56)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38459, 38458, 38282])).
% 9.79/7.39 tff(38461,plain,
% 9.79/7.39 (((~v157(constB56)) | (~v182(constB56))) | v157(constB56)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38462,plain,
% 9.79/7.39 ((~v157(constB56)) | (~v182(constB56))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38461, 38460])).
% 9.79/7.39 tff(38463,plain,
% 9.79/7.39 ((~(v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56)))))) | (~v181(constB56)) | (~((~v157(constB56)) | (~v182(constB56))))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38464,plain,
% 9.79/7.39 (~v181(constB56)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38463, 38462, 38280])).
% 9.79/7.39 tff(38465,plain,
% 9.79/7.39 ((~(v181(constB56) | v185(constB56))) | v181(constB56) | v185(constB56)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38466,plain,
% 9.79/7.39 (~(v181(constB56) | v185(constB56))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38465, 38464, 38273])).
% 9.79/7.39 tff(38467,plain,
% 9.79/7.39 ((~(v178(constB56) <=> (v181(constB56) | v185(constB56)))) | (~v178(constB56)) | (v181(constB56) | v185(constB56))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38468,plain,
% 9.79/7.39 (~v178(constB56)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38467, 38466, 38248])).
% 9.79/7.39 tff(38469,plain,
% 9.79/7.39 ((~(v180(constB57) <=> v178(constB56))) | (~v180(constB57)) | v178(constB56)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38470,plain,
% 9.79/7.39 (~v180(constB57)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38469, 38468, 38246])).
% 9.79/7.39 tff(38471,plain,
% 9.79/7.39 ($false),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38470, 38242])).
% 9.79/7.39 tff(38472,plain,(~(constB57 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.79/7.39 tff(38473,assumption,(constB31 = VarCurr!0), introduced(assumption)).
% 9.79/7.39 tff(38474,plain,
% 9.79/7.39 (v180(constB31) <=> v180(VarCurr!0)),
% 9.79/7.39 inference(monotonicity,[status(thm)],[38473])).
% 9.79/7.39 tff(38475,plain,
% 9.79/7.39 (v180(VarCurr!0) <=> v180(constB31)),
% 9.79/7.39 inference(symmetry,[status(thm)],[38474])).
% 9.79/7.39 tff(38476,plain,
% 9.79/7.39 (v180(constB31)),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[59, 38475])).
% 9.79/7.39 tff(38477,plain,
% 9.79/7.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> v178(constB30)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB30, constB31)) | (v180(constB31) <=> v178(constB30)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38478,plain,
% 9.79/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> v178(constB30)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38479,plain,
% 9.79/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB30, constB31)) | (v180(constB31) <=> v178(constB30))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38478, 38477])).
% 9.79/7.39 tff(38480,plain,
% 9.79/7.39 (v180(constB31) <=> v178(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38479, 8224, 70])).
% 9.79/7.39 tff(38481,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB30) <=> (v181(constB30) | v185(constB30)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38482,plain,
% 9.79/7.39 (v178(constB30) <=> (v181(constB30) | v185(constB30))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38481, 84])).
% 9.79/7.39 tff(38483,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB30) <=> (~((~v186(constB30)) | (~v187(constB30)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38484,plain,
% 9.79/7.39 (v185(constB30) <=> (~((~v186(constB30)) | (~v187(constB30))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38483, 96])).
% 9.79/7.39 tff(38485,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB30) <=> (~((~v184(constB30)) | (~v159(constB30)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38486,plain,
% 9.79/7.39 (v187(constB30) <=> (~((~v184(constB30)) | (~v159(constB30))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38485, 108])).
% 9.79/7.39 tff(38487,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38488,plain,
% 9.79/7.39 (v184(constB30) <=> (~((~v39(constB30)) | (~v9(constB30))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38487, 120])).
% 9.79/7.39 tff(38489,plain,
% 9.79/7.39 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB30)) <=> v1(constB30))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38490,plain,
% 9.79/7.39 ((~v39(constB30)) <=> v1(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38489, 129])).
% 9.79/7.39 tff(38491,plain,
% 9.79/7.39 ((~((~v39(constB30)) <=> v1(constB30))) | (~v39(constB30)) | (~v1(constB30))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38492,plain,
% 9.79/7.39 ((~((~v39(constB30)) <=> v1(constB30))) | (~v39(constB30))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38491, 8286])).
% 9.79/7.39 tff(38493,plain,
% 9.79/7.39 (~v39(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38492, 38490])).
% 9.79/7.39 tff(38494,plain,
% 9.79/7.39 (((~v39(constB30)) | (~v9(constB30))) | v39(constB30)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38495,plain,
% 9.79/7.39 ((~v39(constB30)) | (~v9(constB30))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38494, 38493])).
% 9.79/7.39 tff(38496,plain,
% 9.79/7.39 ((~(v184(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))) | (~v184(constB30)) | (~((~v39(constB30)) | (~v9(constB30))))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38497,plain,
% 9.79/7.39 ((~(v184(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))) | (~v184(constB30))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38496, 38495])).
% 9.79/7.39 tff(38498,plain,
% 9.79/7.39 (~v184(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38497, 38488])).
% 9.79/7.39 tff(38499,plain,
% 9.79/7.39 (((~v184(constB30)) | (~v159(constB30))) | v184(constB30)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38500,plain,
% 9.79/7.39 ((~v184(constB30)) | (~v159(constB30))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38499, 38498])).
% 9.79/7.39 tff(38501,plain,
% 9.79/7.39 ((~(v187(constB30) <=> (~((~v184(constB30)) | (~v159(constB30)))))) | (~v187(constB30)) | (~((~v184(constB30)) | (~v159(constB30))))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38502,plain,
% 9.79/7.39 ((~(v187(constB30) <=> (~((~v184(constB30)) | (~v159(constB30)))))) | (~v187(constB30))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38501, 38500])).
% 9.79/7.39 tff(38503,plain,
% 9.79/7.39 (~v187(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38502, 38486])).
% 9.79/7.39 tff(38504,plain,
% 9.79/7.39 (((~v186(constB30)) | (~v187(constB30))) | v187(constB30)),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38505,plain,
% 9.79/7.39 ((~v186(constB30)) | (~v187(constB30))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38504, 38503])).
% 9.79/7.39 tff(38506,plain,
% 9.79/7.39 ((~(v185(constB30) <=> (~((~v186(constB30)) | (~v187(constB30)))))) | (~v185(constB30)) | (~((~v186(constB30)) | (~v187(constB30))))),
% 9.79/7.39 inference(tautology,[status(thm)],[])).
% 9.79/7.39 tff(38507,plain,
% 9.79/7.39 (~v185(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38506, 38505, 38484])).
% 9.79/7.39 tff(38508,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30))))))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38509,plain,
% 9.79/7.39 ((v181(constB30) <=> (~((~v182(constB30)) | (~v157(constB30))))) <=> (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30)))))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38510,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v182(constB30)) | (~v157(constB30)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30))))))),
% 9.79/7.39 inference(monotonicity,[status(thm)],[38509])).
% 9.79/7.39 tff(38511,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v182(constB30)) | (~v157(constB30)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30))))))),
% 9.79/7.39 inference(transitivity,[status(thm)],[38510, 38508])).
% 9.79/7.39 tff(38512,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v182(constB30)) | (~v157(constB30)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38513,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30)))))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38512, 38511])).
% 9.79/7.39 tff(38514,plain,
% 9.79/7.39 (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38513, 161])).
% 9.79/7.39 tff(38515,plain,
% 9.79/7.39 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB30) <=> v180(constB30))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38516,plain,
% 9.79/7.39 (v157(constB30) <=> v180(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38515, 13])).
% 9.79/7.39 tff(38517,plain,
% 9.79/7.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> v178(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB29, constB30)) | (v180(constB30) <=> v178(constB29)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38518,plain,
% 9.79/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> v178(constB29)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38519,plain,
% 9.79/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB29, constB30)) | (v180(constB30) <=> v178(constB29))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38518, 38517])).
% 9.79/7.39 tff(38520,plain,
% 9.79/7.39 (v180(constB30) <=> v178(constB29)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38519, 8256, 70])).
% 9.79/7.39 tff(38521,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB29) <=> (v181(constB29) | v185(constB29)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38522,plain,
% 9.79/7.39 (v178(constB29) <=> (v181(constB29) | v185(constB29))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38521, 84])).
% 9.79/7.39 tff(38523,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29))))))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38524,plain,
% 9.79/7.39 ((v181(constB29) <=> (~((~v182(constB29)) | (~v157(constB29))))) <=> (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29)))))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38525,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v182(constB29)) | (~v157(constB29)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29))))))),
% 9.79/7.39 inference(monotonicity,[status(thm)],[38524])).
% 9.79/7.39 tff(38526,plain,
% 9.79/7.39 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v182(constB29)) | (~v157(constB29)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29))))))),
% 9.79/7.39 inference(transitivity,[status(thm)],[38525, 38523])).
% 9.79/7.39 tff(38527,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v182(constB29)) | (~v157(constB29)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38528,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29)))))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38527, 38526])).
% 9.79/7.39 tff(38529,plain,
% 9.79/7.39 (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38528, 161])).
% 9.79/7.39 tff(38530,plain,
% 9.79/7.39 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB29)) <=> v183(constB29))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38531,plain,
% 9.79/7.39 ((~v182(constB29)) <=> v183(constB29)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38530, 193])).
% 9.79/7.39 tff(38532,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB29) <=> (v184(constB29) | v26(constB29)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38533,plain,
% 9.79/7.39 (v183(constB29) <=> (v184(constB29) | v26(constB29))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38532, 202])).
% 9.79/7.39 tff(38534,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB29) <=> (~((~v39(constB29)) | (~v9(constB29)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38535,plain,
% 9.79/7.39 (v184(constB29) <=> (~((~v39(constB29)) | (~v9(constB29))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38534, 120])).
% 9.79/7.39 tff(38536,plain,
% 9.79/7.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB29, constB30)) | (v13(constB30) <=> v9(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB29, constB30)) | (v13(constB30) <=> v9(constB29)))),
% 9.79/7.39 inference(rewrite,[status(thm)],[])).
% 9.79/7.39 tff(38537,plain,
% 9.79/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB29, constB30)) | (v13(constB30) <=> v9(constB29)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38538,plain,
% 9.79/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB29, constB30)) | (v13(constB30) <=> v9(constB29))),
% 9.79/7.39 inference(modus_ponens,[status(thm)],[38537, 38536])).
% 9.79/7.39 tff(38539,plain,
% 9.79/7.39 (v13(constB30) <=> v9(constB29)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38538, 8256, 216])).
% 9.79/7.39 tff(38540,plain,
% 9.79/7.39 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB30) <=> v13(constB30))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38541,plain,
% 9.79/7.39 (v6(constB30) <=> v13(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38540, 230])).
% 9.79/7.39 tff(38542,plain,
% 9.79/7.39 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB30)) <=> v6(constB30))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38543,plain,
% 9.79/7.39 ((~v21(constB30)) <=> v6(constB30)),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38542, 239])).
% 9.79/7.39 tff(38544,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB30) <=> (v20(constB30) | v21(constB30)))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38545,plain,
% 9.79/7.39 (v19(constB30) <=> (v20(constB30) | v21(constB30))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38544, 248])).
% 9.79/7.39 tff(38546,plain,
% 9.79/7.39 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30)))))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.39 tff(38547,plain,
% 9.79/7.39 (v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30))))),
% 9.79/7.39 inference(unit_resolution,[status(thm)],[38546, 260])).
% 9.79/7.39 tff(38548,plain,
% 9.79/7.39 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB30)) <=> v18(constB30))),
% 9.79/7.39 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38549,plain,
% 9.79/7.40 ((~v4(constB30)) <=> v18(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38548, 269])).
% 9.79/7.40 tff(38550,plain,
% 9.79/7.40 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB30)),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38551,plain,
% 9.79/7.40 (v4(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38550, 278])).
% 9.79/7.40 tff(38552,plain,
% 9.79/7.40 ((~((~v4(constB30)) <=> v18(constB30))) | (~v4(constB30)) | (~v18(constB30))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38553,plain,
% 9.79/7.40 (~v18(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38552, 38551, 38549])).
% 9.79/7.40 tff(38554,plain,
% 9.79/7.40 ((~(v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30)))))) | v18(constB30) | ((~v19(constB30)) | (~v22(constB30)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38555,plain,
% 9.79/7.40 ((~v19(constB30)) | (~v22(constB30))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38554, 38553, 38547])).
% 9.79/7.40 tff(38556,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB30) <=> (v1(constB30) | v6(constB30)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38557,plain,
% 9.79/7.40 (v22(constB30) <=> (v1(constB30) | v6(constB30))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38556, 291])).
% 9.79/7.40 tff(38558,plain,
% 9.79/7.40 ((v1(constB30) | v6(constB30)) | (~v1(constB30))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38559,plain,
% 9.79/7.40 (v1(constB30) | v6(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38558, 8286])).
% 9.79/7.40 tff(38560,plain,
% 9.79/7.40 ((~(v22(constB30) <=> (v1(constB30) | v6(constB30)))) | v22(constB30) | (~(v1(constB30) | v6(constB30)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38561,plain,
% 9.79/7.40 ((~(v22(constB30) <=> (v1(constB30) | v6(constB30)))) | v22(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38560, 38559])).
% 9.79/7.40 tff(38562,plain,
% 9.79/7.40 (v22(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38561, 38557])).
% 9.79/7.40 tff(38563,plain,
% 9.79/7.40 ((~((~v19(constB30)) | (~v22(constB30)))) | (~v19(constB30)) | (~v22(constB30))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38564,plain,
% 9.79/7.40 ((~((~v19(constB30)) | (~v22(constB30)))) | (~v19(constB30))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38563, 38562])).
% 9.79/7.40 tff(38565,plain,
% 9.79/7.40 (~v19(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38564, 38555])).
% 9.79/7.40 tff(38566,plain,
% 9.79/7.40 ((~(v19(constB30) <=> (v20(constB30) | v21(constB30)))) | v19(constB30) | (~(v20(constB30) | v21(constB30)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38567,plain,
% 9.79/7.40 (~(v20(constB30) | v21(constB30))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38566, 38565, 38545])).
% 9.79/7.40 tff(38568,plain,
% 9.79/7.40 ((v20(constB30) | v21(constB30)) | (~v21(constB30))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38569,plain,
% 9.79/7.40 (~v21(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38568, 38567])).
% 9.79/7.40 tff(38570,plain,
% 9.79/7.40 ((~((~v21(constB30)) <=> v6(constB30))) | v21(constB30) | v6(constB30)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38571,plain,
% 9.79/7.40 (v6(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38570, 38569, 38543])).
% 9.79/7.40 tff(38572,plain,
% 9.79/7.40 ((~(v6(constB30) <=> v13(constB30))) | (~v6(constB30)) | v13(constB30)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38573,plain,
% 9.79/7.40 (v13(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38572, 38571, 38541])).
% 9.79/7.40 tff(38574,plain,
% 9.79/7.40 ((~(v13(constB30) <=> v9(constB29))) | (~v13(constB30)) | v9(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38575,plain,
% 9.79/7.40 (v9(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38574, 38573, 38539])).
% 9.79/7.40 tff(38576,plain,
% 9.79/7.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB29)) <=> v1(constB29))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38577,plain,
% 9.79/7.40 ((~v39(constB29)) <=> v1(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38576, 129])).
% 9.79/7.40 tff(38578,plain,
% 9.79/7.40 ((~((~v39(constB29)) <=> v1(constB29))) | v39(constB29) | v1(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38579,plain,
% 9.79/7.40 ((~((~v39(constB29)) <=> v1(constB29))) | v39(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38578, 8278])).
% 9.79/7.40 tff(38580,plain,
% 9.79/7.40 (v39(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38579, 38577])).
% 9.79/7.40 tff(38581,plain,
% 9.79/7.40 ((~((~v39(constB29)) | (~v9(constB29)))) | (~v39(constB29)) | (~v9(constB29))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38582,plain,
% 9.79/7.40 ((~((~v39(constB29)) | (~v9(constB29)))) | (~v9(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38581, 38580])).
% 9.79/7.40 tff(38583,plain,
% 9.79/7.40 (~((~v39(constB29)) | (~v9(constB29)))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38582, 38575])).
% 9.79/7.40 tff(38584,plain,
% 9.79/7.40 ((~(v184(constB29) <=> (~((~v39(constB29)) | (~v9(constB29)))))) | v184(constB29) | ((~v39(constB29)) | (~v9(constB29)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38585,plain,
% 9.79/7.40 (v184(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38584, 38583, 38535])).
% 9.79/7.40 tff(38586,plain,
% 9.79/7.40 ((v184(constB29) | v26(constB29)) | (~v184(constB29))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38587,plain,
% 9.79/7.40 (v184(constB29) | v26(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38586, 38585])).
% 9.79/7.40 tff(38588,plain,
% 9.79/7.40 ((~(v183(constB29) <=> (v184(constB29) | v26(constB29)))) | v183(constB29) | (~(v184(constB29) | v26(constB29)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38589,plain,
% 9.79/7.40 (v183(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38588, 38587, 38533])).
% 9.79/7.40 tff(38590,plain,
% 9.79/7.40 ((~((~v182(constB29)) <=> v183(constB29))) | (~v182(constB29)) | (~v183(constB29))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38591,plain,
% 9.79/7.40 (~v182(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38590, 38589, 38531])).
% 9.79/7.40 tff(38592,plain,
% 9.79/7.40 (((~v157(constB29)) | (~v182(constB29))) | v182(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38593,plain,
% 9.79/7.40 ((~v157(constB29)) | (~v182(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38592, 38591])).
% 9.79/7.40 tff(38594,plain,
% 9.79/7.40 ((~(v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29)))))) | (~v181(constB29)) | (~((~v157(constB29)) | (~v182(constB29))))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38595,plain,
% 9.79/7.40 (~v181(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38594, 38593, 38529])).
% 9.79/7.40 tff(38596,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB29) <=> (~((~v186(constB29)) | (~v187(constB29)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38597,plain,
% 9.79/7.40 (v185(constB29) <=> (~((~v186(constB29)) | (~v187(constB29))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38596, 96])).
% 9.79/7.40 tff(38598,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB29) <=> (~((~v184(constB29)) | (~v159(constB29)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38599,plain,
% 9.79/7.40 (v187(constB29) <=> (~((~v184(constB29)) | (~v159(constB29))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38598, 108])).
% 9.79/7.40 tff(38600,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB29) <=> v161(constB29))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38601,plain,
% 9.79/7.40 (v159(constB29) <=> v161(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38600, 345])).
% 9.79/7.40 tff(38602,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38603,plain,
% 9.79/7.40 (v139(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2)))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38602, 360])).
% 9.79/7.40 tff(38604,plain,
% 9.79/7.40 ((v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2)) | (~v88(constB29, bitIndex1))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38605,plain,
% 9.79/7.40 (v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38604, 28475])).
% 9.79/7.40 tff(38606,plain,
% 9.79/7.40 ((~(v139(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2))))) | (~v139(constB29)) | (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38607,plain,
% 9.79/7.40 (~v139(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38606, 38605, 38603])).
% 9.79/7.40 tff(38608,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0))))))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38609,plain,
% 9.79/7.40 ((v140(constB29) <=> (~(v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0))))) <=> (v140(constB29) <=> (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0)))))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38610,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0))))))),
% 9.79/7.40 inference(monotonicity,[status(thm)],[38609])).
% 9.79/7.40 tff(38611,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0))))))),
% 9.79/7.40 inference(transitivity,[status(thm)],[38610, 38608])).
% 9.79/7.40 tff(38612,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38613,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0)))))),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[38612, 38611])).
% 9.79/7.40 tff(38614,plain,
% 9.79/7.40 (v140(constB29) <=> (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38613, 25795])).
% 9.79/7.40 tff(38615,plain,
% 9.79/7.40 ((v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0))) | (~v88(constB29, bitIndex1))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38616,plain,
% 9.79/7.40 (v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38615, 28475])).
% 9.79/7.40 tff(38617,plain,
% 9.79/7.40 ((~(v140(constB29) <=> (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0)))))) | (~v140(constB29)) | (~(v88(constB29, bitIndex2) | v88(constB29, bitIndex1) | (~v88(constB29, bitIndex0))))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38618,plain,
% 9.79/7.40 (~v140(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38617, 38616, 38614])).
% 9.79/7.40 tff(38619,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v168(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB29) | v140(constB29) | (~v168(constB29)))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38620,plain,
% 9.79/7.40 ((v140(constB29) | v139(constB29) | (~v168(constB29))) <=> (v139(constB29) | v140(constB29) | (~v168(constB29)))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38621,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v168(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v168(constB29))))),
% 9.79/7.40 inference(monotonicity,[status(thm)],[38620])).
% 9.79/7.40 tff(38622,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v168(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB29) | v140(constB29) | (~v168(constB29)))),
% 9.79/7.40 inference(transitivity,[status(thm)],[38621, 38619])).
% 9.79/7.40 tff(38623,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v168(constB29)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38624,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB29) | v140(constB29) | (~v168(constB29))),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[38623, 38622])).
% 9.79/7.40 tff(38625,plain,
% 9.79/7.40 (v139(constB29) | v140(constB29) | (~v168(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38624, 25819])).
% 9.79/7.40 tff(38626,plain,
% 9.79/7.40 (~v168(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38625, 38618, 38607])).
% 9.79/7.40 tff(38627,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB29) <=> (v145(constB29) | v165(constB29)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38628,plain,
% 9.79/7.40 (v164(constB29) <=> (v145(constB29) | v165(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38627, 25834])).
% 9.79/7.40 tff(38629,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB29) <=> (v142(constB29) | v166(constB29)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38630,plain,
% 9.79/7.40 (v165(constB29) <=> (v142(constB29) | v166(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38629, 25846])).
% 9.79/7.40 tff(38631,plain,
% 9.79/7.40 ((v142(constB29) | v166(constB29)) | (~v142(constB29))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38632,plain,
% 9.79/7.40 (v142(constB29) | v166(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38631, 28483])).
% 9.79/7.40 tff(38633,plain,
% 9.79/7.40 ((~(v165(constB29) <=> (v142(constB29) | v166(constB29)))) | v165(constB29) | (~(v142(constB29) | v166(constB29)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38634,plain,
% 9.79/7.40 (v165(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38633, 38632, 38630])).
% 9.79/7.40 tff(38635,plain,
% 9.79/7.40 ((v145(constB29) | v165(constB29)) | (~v165(constB29))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38636,plain,
% 9.79/7.40 (v145(constB29) | v165(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38635, 38634])).
% 9.79/7.40 tff(38637,plain,
% 9.79/7.40 ((~(v164(constB29) <=> (v145(constB29) | v165(constB29)))) | v164(constB29) | (~(v145(constB29) | v165(constB29)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38638,plain,
% 9.79/7.40 (v164(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38637, 38636, 38628])).
% 9.79/7.40 tff(38639,plain,
% 9.79/7.40 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB29)) | (v161(constB29) <=> v168(constB29)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB29)) | (v161(constB29) <=> v168(constB29)))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38640,plain,
% 9.79/7.40 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB29)) | (v161(constB29) <=> v168(constB29)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38641,plain,
% 9.79/7.40 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB29)) | (v161(constB29) <=> v168(constB29))),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[38640, 38639])).
% 9.79/7.40 tff(38642,plain,
% 9.79/7.40 ((~v164(constB29)) | (v161(constB29) <=> v168(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38641, 25977])).
% 9.79/7.40 tff(38643,plain,
% 9.79/7.40 (v161(constB29) <=> v168(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38642, 38638])).
% 9.79/7.40 tff(38644,plain,
% 9.79/7.40 ((~(v161(constB29) <=> v168(constB29))) | (~v161(constB29)) | v168(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38645,plain,
% 9.79/7.40 (~v161(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38644, 38643, 38626])).
% 9.79/7.40 tff(38646,plain,
% 9.79/7.40 ((~(v159(constB29) <=> v161(constB29))) | (~v159(constB29)) | v161(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38647,plain,
% 9.79/7.40 ((~(v159(constB29) <=> v161(constB29))) | (~v159(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38646, 38645])).
% 9.79/7.40 tff(38648,plain,
% 9.79/7.40 (~v159(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38647, 38601])).
% 9.79/7.40 tff(38649,plain,
% 9.79/7.40 (((~v184(constB29)) | (~v159(constB29))) | v159(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38650,plain,
% 9.79/7.40 ((~v184(constB29)) | (~v159(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38649, 38648])).
% 9.79/7.40 tff(38651,plain,
% 9.79/7.40 ((~(v187(constB29) <=> (~((~v184(constB29)) | (~v159(constB29)))))) | (~v187(constB29)) | (~((~v184(constB29)) | (~v159(constB29))))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38652,plain,
% 9.79/7.40 (~v187(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38651, 38650, 38599])).
% 9.79/7.40 tff(38653,plain,
% 9.79/7.40 (((~v186(constB29)) | (~v187(constB29))) | v187(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38654,plain,
% 9.79/7.40 ((~v186(constB29)) | (~v187(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38653, 38652])).
% 9.79/7.40 tff(38655,plain,
% 9.79/7.40 ((~(v185(constB29) <=> (~((~v186(constB29)) | (~v187(constB29)))))) | (~v185(constB29)) | (~((~v186(constB29)) | (~v187(constB29))))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38656,plain,
% 9.79/7.40 (~v185(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38655, 38654, 38597])).
% 9.79/7.40 tff(38657,plain,
% 9.79/7.40 ((~(v181(constB29) | v185(constB29))) | v181(constB29) | v185(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38658,plain,
% 9.79/7.40 (~(v181(constB29) | v185(constB29))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38657, 38656, 38595])).
% 9.79/7.40 tff(38659,plain,
% 9.79/7.40 ((~(v178(constB29) <=> (v181(constB29) | v185(constB29)))) | (~v178(constB29)) | (v181(constB29) | v185(constB29))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38660,plain,
% 9.79/7.40 (~v178(constB29)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38659, 38658, 38522])).
% 9.79/7.40 tff(38661,plain,
% 9.79/7.40 ((~(v180(constB30) <=> v178(constB29))) | (~v180(constB30)) | v178(constB29)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38662,plain,
% 9.79/7.40 (~v180(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38661, 38660, 38520])).
% 9.79/7.40 tff(38663,plain,
% 9.79/7.40 ((~(v157(constB30) <=> v180(constB30))) | (~v157(constB30)) | v180(constB30)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38664,plain,
% 9.79/7.40 (~v157(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38663, 38662, 38516])).
% 9.79/7.40 tff(38665,plain,
% 9.79/7.40 (((~v157(constB30)) | (~v182(constB30))) | v157(constB30)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38666,plain,
% 9.79/7.40 ((~v157(constB30)) | (~v182(constB30))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38665, 38664])).
% 9.79/7.40 tff(38667,plain,
% 9.79/7.40 ((~(v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30)))))) | (~v181(constB30)) | (~((~v157(constB30)) | (~v182(constB30))))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38668,plain,
% 9.79/7.40 (~v181(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38667, 38666, 38514])).
% 9.79/7.40 tff(38669,plain,
% 9.79/7.40 ((~(v181(constB30) | v185(constB30))) | v181(constB30) | v185(constB30)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38670,plain,
% 9.79/7.40 (~(v181(constB30) | v185(constB30))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38669, 38668, 38507])).
% 9.79/7.40 tff(38671,plain,
% 9.79/7.40 ((~(v178(constB30) <=> (v181(constB30) | v185(constB30)))) | (~v178(constB30)) | (v181(constB30) | v185(constB30))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38672,plain,
% 9.79/7.40 (~v178(constB30)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38671, 38670, 38482])).
% 9.79/7.40 tff(38673,plain,
% 9.79/7.40 ((~(v180(constB31) <=> v178(constB30))) | (~v180(constB31)) | v178(constB30)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38674,plain,
% 9.79/7.40 (~v180(constB31)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38673, 38672, 38480])).
% 9.79/7.40 tff(38675,plain,
% 9.79/7.40 ($false),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38674, 38476])).
% 9.79/7.40 tff(38676,plain,(~(constB31 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.79/7.40 tff(38677,assumption,(constB151 = VarCurr!0), introduced(assumption)).
% 9.79/7.40 tff(38678,plain,
% 9.79/7.40 (v180(constB151) <=> v180(VarCurr!0)),
% 9.79/7.40 inference(monotonicity,[status(thm)],[38677])).
% 9.79/7.40 tff(38679,plain,
% 9.79/7.40 (v180(VarCurr!0) <=> v180(constB151)),
% 9.79/7.40 inference(symmetry,[status(thm)],[38678])).
% 9.79/7.40 tff(38680,plain,
% 9.79/7.40 (v180(constB151)),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[59, 38679])).
% 9.79/7.40 tff(38681,plain,
% 9.79/7.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB150, constB151)) | (v180(constB151) <=> v178(constB150)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB150, constB151)) | (v180(constB151) <=> v178(constB150)))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38682,plain,
% 9.79/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB150, constB151)) | (v180(constB151) <=> v178(constB150)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38683,plain,
% 9.79/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB150, constB151)) | (v180(constB151) <=> v178(constB150))),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[38682, 38681])).
% 9.79/7.40 tff(38684,plain,
% 9.79/7.40 (v180(constB151) <=> v178(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38683, 2704, 70])).
% 9.79/7.40 tff(38685,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB150) <=> (v181(constB150) | v185(constB150)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38686,plain,
% 9.79/7.40 (v178(constB150) <=> (v181(constB150) | v185(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38685, 84])).
% 9.79/7.40 tff(38687,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB150) <=> (~((~v186(constB150)) | (~v187(constB150)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38688,plain,
% 9.79/7.40 (v185(constB150) <=> (~((~v186(constB150)) | (~v187(constB150))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38687, 96])).
% 9.79/7.40 tff(38689,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB150) <=> (~((~v184(constB150)) | (~v159(constB150)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38690,plain,
% 9.79/7.40 (v187(constB150) <=> (~((~v184(constB150)) | (~v159(constB150))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38689, 108])).
% 9.79/7.40 tff(38691,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38692,plain,
% 9.79/7.40 (v184(constB150) <=> (~((~v39(constB150)) | (~v9(constB150))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38691, 120])).
% 9.79/7.40 tff(38693,plain,
% 9.79/7.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB150)) <=> v1(constB150))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38694,plain,
% 9.79/7.40 ((~v39(constB150)) <=> v1(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38693, 129])).
% 9.79/7.40 tff(38695,plain,
% 9.79/7.40 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150)) | (~v1(constB150))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38696,plain,
% 9.79/7.40 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38695, 2766])).
% 9.79/7.40 tff(38697,plain,
% 9.79/7.40 (~v39(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38696, 38694])).
% 9.79/7.40 tff(38698,plain,
% 9.79/7.40 (((~v39(constB150)) | (~v9(constB150))) | v39(constB150)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38699,plain,
% 9.79/7.40 ((~v39(constB150)) | (~v9(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38698, 38697])).
% 9.79/7.40 tff(38700,plain,
% 9.79/7.40 ((~(v184(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v184(constB150)) | (~((~v39(constB150)) | (~v9(constB150))))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38701,plain,
% 9.79/7.40 ((~(v184(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v184(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38700, 38699])).
% 9.79/7.40 tff(38702,plain,
% 9.79/7.40 (~v184(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38701, 38692])).
% 9.79/7.40 tff(38703,plain,
% 9.79/7.40 (((~v184(constB150)) | (~v159(constB150))) | v184(constB150)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38704,plain,
% 9.79/7.40 ((~v184(constB150)) | (~v159(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38703, 38702])).
% 9.79/7.40 tff(38705,plain,
% 9.79/7.40 ((~(v187(constB150) <=> (~((~v184(constB150)) | (~v159(constB150)))))) | (~v187(constB150)) | (~((~v184(constB150)) | (~v159(constB150))))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38706,plain,
% 9.79/7.40 ((~(v187(constB150) <=> (~((~v184(constB150)) | (~v159(constB150)))))) | (~v187(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38705, 38704])).
% 9.79/7.40 tff(38707,plain,
% 9.79/7.40 (~v187(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38706, 38690])).
% 9.79/7.40 tff(38708,plain,
% 9.79/7.40 (((~v186(constB150)) | (~v187(constB150))) | v187(constB150)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38709,plain,
% 9.79/7.40 ((~v186(constB150)) | (~v187(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38708, 38707])).
% 9.79/7.40 tff(38710,plain,
% 9.79/7.40 ((~(v185(constB150) <=> (~((~v186(constB150)) | (~v187(constB150)))))) | (~v185(constB150)) | (~((~v186(constB150)) | (~v187(constB150))))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38711,plain,
% 9.79/7.40 (~v185(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38710, 38709, 38688])).
% 9.79/7.40 tff(38712,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150))))))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38713,plain,
% 9.79/7.40 ((v181(constB150) <=> (~((~v182(constB150)) | (~v157(constB150))))) <=> (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150)))))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38714,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v182(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150))))))),
% 9.79/7.40 inference(monotonicity,[status(thm)],[38713])).
% 9.79/7.40 tff(38715,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v182(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150))))))),
% 9.79/7.40 inference(transitivity,[status(thm)],[38714, 38712])).
% 9.79/7.40 tff(38716,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v182(constB150)) | (~v157(constB150)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38717,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150)))))),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[38716, 38715])).
% 9.79/7.40 tff(38718,plain,
% 9.79/7.40 (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38717, 161])).
% 9.79/7.40 tff(38719,plain,
% 9.79/7.40 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB150) <=> v180(constB150))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38720,plain,
% 9.79/7.40 (v157(constB150) <=> v180(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38719, 13])).
% 9.79/7.40 tff(38721,plain,
% 9.79/7.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB149, constB150)) | (v180(constB150) <=> v178(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB149, constB150)) | (v180(constB150) <=> v178(constB149)))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38722,plain,
% 9.79/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB149, constB150)) | (v180(constB150) <=> v178(constB149)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38723,plain,
% 9.79/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB149, constB150)) | (v180(constB150) <=> v178(constB149))),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[38722, 38721])).
% 9.79/7.40 tff(38724,plain,
% 9.79/7.40 (v180(constB150) <=> v178(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38723, 2736, 70])).
% 9.79/7.40 tff(38725,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB149) <=> (v181(constB149) | v185(constB149)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38726,plain,
% 9.79/7.40 (v178(constB149) <=> (v181(constB149) | v185(constB149))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38725, 84])).
% 9.79/7.40 tff(38727,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149))))))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38728,plain,
% 9.79/7.40 ((v181(constB149) <=> (~((~v182(constB149)) | (~v157(constB149))))) <=> (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149)))))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38729,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v182(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149))))))),
% 9.79/7.40 inference(monotonicity,[status(thm)],[38728])).
% 9.79/7.40 tff(38730,plain,
% 9.79/7.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v182(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149))))))),
% 9.79/7.40 inference(transitivity,[status(thm)],[38729, 38727])).
% 9.79/7.40 tff(38731,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v182(constB149)) | (~v157(constB149)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38732,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149)))))),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[38731, 38730])).
% 9.79/7.40 tff(38733,plain,
% 9.79/7.40 (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38732, 161])).
% 9.79/7.40 tff(38734,plain,
% 9.79/7.40 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB149)) <=> v183(constB149))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38735,plain,
% 9.79/7.40 ((~v182(constB149)) <=> v183(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38734, 193])).
% 9.79/7.40 tff(38736,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB149) <=> (v184(constB149) | v26(constB149)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38737,plain,
% 9.79/7.40 (v183(constB149) <=> (v184(constB149) | v26(constB149))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38736, 202])).
% 9.79/7.40 tff(38738,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38739,plain,
% 9.79/7.40 (v184(constB149) <=> (~((~v39(constB149)) | (~v9(constB149))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38738, 120])).
% 9.79/7.40 tff(38740,plain,
% 9.79/7.40 (((~![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)))),
% 9.79/7.40 inference(rewrite,[status(thm)],[])).
% 9.79/7.40 tff(38741,plain,
% 9.79/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38742,plain,
% 9.79/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149))),
% 9.79/7.40 inference(modus_ponens,[status(thm)],[38741, 38740])).
% 9.79/7.40 tff(38743,plain,
% 9.79/7.40 (v13(constB150) <=> v9(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38742, 2736, 216])).
% 9.79/7.40 tff(38744,plain,
% 9.79/7.40 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB150) <=> v13(constB150))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38745,plain,
% 9.79/7.40 (v6(constB150) <=> v13(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38744, 230])).
% 9.79/7.40 tff(38746,plain,
% 9.79/7.40 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB150)) <=> v6(constB150))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38747,plain,
% 9.79/7.40 ((~v21(constB150)) <=> v6(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38746, 239])).
% 9.79/7.40 tff(38748,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB150) <=> (v20(constB150) | v21(constB150)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38749,plain,
% 9.79/7.40 (v19(constB150) <=> (v20(constB150) | v21(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38748, 248])).
% 9.79/7.40 tff(38750,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38751,plain,
% 9.79/7.40 (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150))))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38750, 260])).
% 9.79/7.40 tff(38752,plain,
% 9.79/7.40 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB150)) <=> v18(constB150))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38753,plain,
% 9.79/7.40 ((~v4(constB150)) <=> v18(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38752, 269])).
% 9.79/7.40 tff(38754,plain,
% 9.79/7.40 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB150)),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38755,plain,
% 9.79/7.40 (v4(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38754, 278])).
% 9.79/7.40 tff(38756,plain,
% 9.79/7.40 ((~((~v4(constB150)) <=> v18(constB150))) | (~v4(constB150)) | (~v18(constB150))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38757,plain,
% 9.79/7.40 (~v18(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38756, 38755, 38753])).
% 9.79/7.40 tff(38758,plain,
% 9.79/7.40 ((~(v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))) | v18(constB150) | ((~v19(constB150)) | (~v22(constB150)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38759,plain,
% 9.79/7.40 ((~v19(constB150)) | (~v22(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38758, 38757, 38751])).
% 9.79/7.40 tff(38760,plain,
% 9.79/7.40 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB150) <=> (v1(constB150) | v6(constB150)))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38761,plain,
% 9.79/7.40 (v22(constB150) <=> (v1(constB150) | v6(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38760, 291])).
% 9.79/7.40 tff(38762,plain,
% 9.79/7.40 ((v1(constB150) | v6(constB150)) | (~v1(constB150))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38763,plain,
% 9.79/7.40 (v1(constB150) | v6(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38762, 2766])).
% 9.79/7.40 tff(38764,plain,
% 9.79/7.40 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150) | (~(v1(constB150) | v6(constB150)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38765,plain,
% 9.79/7.40 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38764, 38763])).
% 9.79/7.40 tff(38766,plain,
% 9.79/7.40 (v22(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38765, 38761])).
% 9.79/7.40 tff(38767,plain,
% 9.79/7.40 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150)) | (~v22(constB150))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38768,plain,
% 9.79/7.40 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38767, 38766])).
% 9.79/7.40 tff(38769,plain,
% 9.79/7.40 (~v19(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38768, 38759])).
% 9.79/7.40 tff(38770,plain,
% 9.79/7.40 ((~(v19(constB150) <=> (v20(constB150) | v21(constB150)))) | v19(constB150) | (~(v20(constB150) | v21(constB150)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38771,plain,
% 9.79/7.40 (~(v20(constB150) | v21(constB150))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38770, 38769, 38749])).
% 9.79/7.40 tff(38772,plain,
% 9.79/7.40 ((v20(constB150) | v21(constB150)) | (~v21(constB150))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38773,plain,
% 9.79/7.40 (~v21(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38772, 38771])).
% 9.79/7.40 tff(38774,plain,
% 9.79/7.40 ((~((~v21(constB150)) <=> v6(constB150))) | v21(constB150) | v6(constB150)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38775,plain,
% 9.79/7.40 (v6(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38774, 38773, 38747])).
% 9.79/7.40 tff(38776,plain,
% 9.79/7.40 ((~(v6(constB150) <=> v13(constB150))) | (~v6(constB150)) | v13(constB150)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38777,plain,
% 9.79/7.40 (v13(constB150)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38776, 38775, 38745])).
% 9.79/7.40 tff(38778,plain,
% 9.79/7.40 ((~(v13(constB150) <=> v9(constB149))) | (~v13(constB150)) | v9(constB149)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38779,plain,
% 9.79/7.40 (v9(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38778, 38777, 38743])).
% 9.79/7.40 tff(38780,plain,
% 9.79/7.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB149)) <=> v1(constB149))),
% 9.79/7.40 inference(quant_inst,[status(thm)],[])).
% 9.79/7.40 tff(38781,plain,
% 9.79/7.40 ((~v39(constB149)) <=> v1(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38780, 129])).
% 9.79/7.40 tff(38782,plain,
% 9.79/7.40 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149) | v1(constB149)),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38783,plain,
% 9.79/7.40 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38782, 2758])).
% 9.79/7.40 tff(38784,plain,
% 9.79/7.40 (v39(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38783, 38781])).
% 9.79/7.40 tff(38785,plain,
% 9.79/7.40 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v39(constB149)) | (~v9(constB149))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38786,plain,
% 9.79/7.40 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v9(constB149))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38785, 38784])).
% 9.79/7.40 tff(38787,plain,
% 9.79/7.40 (~((~v39(constB149)) | (~v9(constB149)))),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38786, 38779])).
% 9.79/7.40 tff(38788,plain,
% 9.79/7.40 ((~(v184(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))) | v184(constB149) | ((~v39(constB149)) | (~v9(constB149)))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38789,plain,
% 9.79/7.40 (v184(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38788, 38787, 38739])).
% 9.79/7.40 tff(38790,plain,
% 9.79/7.40 ((v184(constB149) | v26(constB149)) | (~v184(constB149))),
% 9.79/7.40 inference(tautology,[status(thm)],[])).
% 9.79/7.40 tff(38791,plain,
% 9.79/7.40 (v184(constB149) | v26(constB149)),
% 9.79/7.40 inference(unit_resolution,[status(thm)],[38790, 38789])).
% 9.79/7.40 tff(38792,plain,
% 9.79/7.40 ((~(v183(constB149) <=> (v184(constB149) | v26(constB149)))) | v183(constB149) | (~(v184(constB149) | v26(constB149)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38793,plain,
% 9.79/7.41 (v183(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38792, 38791, 38737])).
% 9.79/7.41 tff(38794,plain,
% 9.79/7.41 ((~((~v182(constB149)) <=> v183(constB149))) | (~v182(constB149)) | (~v183(constB149))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38795,plain,
% 9.79/7.41 (~v182(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38794, 38793, 38735])).
% 9.79/7.41 tff(38796,plain,
% 9.79/7.41 (((~v157(constB149)) | (~v182(constB149))) | v182(constB149)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38797,plain,
% 9.79/7.41 ((~v157(constB149)) | (~v182(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38796, 38795])).
% 9.79/7.41 tff(38798,plain,
% 9.79/7.41 ((~(v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149)))))) | (~v181(constB149)) | (~((~v157(constB149)) | (~v182(constB149))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38799,plain,
% 9.79/7.41 (~v181(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38798, 38797, 38733])).
% 9.79/7.41 tff(38800,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB149) <=> (~((~v186(constB149)) | (~v187(constB149)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38801,plain,
% 9.79/7.41 (v185(constB149) <=> (~((~v186(constB149)) | (~v187(constB149))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38800, 96])).
% 9.79/7.41 tff(38802,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB149) <=> (~((~v184(constB149)) | (~v159(constB149)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38803,plain,
% 9.79/7.41 (v187(constB149) <=> (~((~v184(constB149)) | (~v159(constB149))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38802, 108])).
% 9.79/7.41 tff(38804,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB149) <=> v161(constB149))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38805,plain,
% 9.79/7.41 (v159(constB149) <=> v161(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38804, 345])).
% 9.79/7.41 tff(38806,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38807,plain,
% 9.79/7.41 (v139(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2)))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38806, 360])).
% 9.79/7.41 tff(38808,plain,
% 9.79/7.41 ((v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2)) | (~v88(constB149, bitIndex1))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38809,plain,
% 9.79/7.41 (v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38808, 33920])).
% 9.79/7.41 tff(38810,plain,
% 9.79/7.41 ((~(v139(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2))))) | (~v139(constB149)) | (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38811,plain,
% 9.79/7.41 (~v139(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38810, 38809, 38807])).
% 9.79/7.41 tff(38812,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0))))))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38813,plain,
% 9.79/7.41 ((v140(constB149) <=> (~(v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0))))) <=> (v140(constB149) <=> (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0)))))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38814,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0))))))),
% 9.79/7.41 inference(monotonicity,[status(thm)],[38813])).
% 9.79/7.41 tff(38815,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0))))))),
% 9.79/7.41 inference(transitivity,[status(thm)],[38814, 38812])).
% 9.79/7.41 tff(38816,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38817,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0)))))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[38816, 38815])).
% 9.79/7.41 tff(38818,plain,
% 9.79/7.41 (v140(constB149) <=> (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38817, 25795])).
% 9.79/7.41 tff(38819,plain,
% 9.79/7.41 ((v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0))) | (~v88(constB149, bitIndex1))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38820,plain,
% 9.79/7.41 (v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38819, 33920])).
% 9.79/7.41 tff(38821,plain,
% 9.79/7.41 ((~(v140(constB149) <=> (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0)))))) | (~v140(constB149)) | (~(v88(constB149, bitIndex2) | v88(constB149, bitIndex1) | (~v88(constB149, bitIndex0))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38822,plain,
% 9.79/7.41 (~v140(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38821, 38820, 38818])).
% 9.79/7.41 tff(38823,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v168(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB149) | v139(constB149) | (~v168(constB149)))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38824,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v168(constB149)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38825,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB149) | v139(constB149) | (~v168(constB149))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[38824, 38823])).
% 9.79/7.41 tff(38826,plain,
% 9.79/7.41 (v140(constB149) | v139(constB149) | (~v168(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38825, 25819])).
% 9.79/7.41 tff(38827,plain,
% 9.79/7.41 (~v168(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38826, 38822, 38811])).
% 9.79/7.41 tff(38828,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB149) <=> (v145(constB149) | v165(constB149)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38829,plain,
% 9.79/7.41 (v164(constB149) <=> (v145(constB149) | v165(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38828, 25834])).
% 9.79/7.41 tff(38830,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB149) <=> (v142(constB149) | v166(constB149)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38831,plain,
% 9.79/7.41 (v165(constB149) <=> (v142(constB149) | v166(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38830, 25846])).
% 9.79/7.41 tff(38832,plain,
% 9.79/7.41 ((v142(constB149) | v166(constB149)) | (~v142(constB149))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38833,plain,
% 9.79/7.41 (v142(constB149) | v166(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38832, 33928])).
% 9.79/7.41 tff(38834,plain,
% 9.79/7.41 ((~(v165(constB149) <=> (v142(constB149) | v166(constB149)))) | v165(constB149) | (~(v142(constB149) | v166(constB149)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38835,plain,
% 9.79/7.41 (v165(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38834, 38833, 38831])).
% 9.79/7.41 tff(38836,plain,
% 9.79/7.41 ((v145(constB149) | v165(constB149)) | (~v165(constB149))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38837,plain,
% 9.79/7.41 (v145(constB149) | v165(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38836, 38835])).
% 9.79/7.41 tff(38838,plain,
% 9.79/7.41 ((~(v164(constB149) <=> (v145(constB149) | v165(constB149)))) | v164(constB149) | (~(v145(constB149) | v165(constB149)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38839,plain,
% 9.79/7.41 (v164(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38838, 38837, 38829])).
% 9.79/7.41 tff(38840,plain,
% 9.79/7.41 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB149)) | (v161(constB149) <=> v168(constB149)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB149)) | (v161(constB149) <=> v168(constB149)))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38841,plain,
% 9.79/7.41 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB149)) | (v161(constB149) <=> v168(constB149)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38842,plain,
% 9.79/7.41 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB149)) | (v161(constB149) <=> v168(constB149))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[38841, 38840])).
% 9.79/7.41 tff(38843,plain,
% 9.79/7.41 ((~v164(constB149)) | (v161(constB149) <=> v168(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38842, 25977])).
% 9.79/7.41 tff(38844,plain,
% 9.79/7.41 (v161(constB149) <=> v168(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38843, 38839])).
% 9.79/7.41 tff(38845,plain,
% 9.79/7.41 ((~(v161(constB149) <=> v168(constB149))) | (~v161(constB149)) | v168(constB149)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38846,plain,
% 9.79/7.41 (~v161(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38845, 38844, 38827])).
% 9.79/7.41 tff(38847,plain,
% 9.79/7.41 ((~(v159(constB149) <=> v161(constB149))) | (~v159(constB149)) | v161(constB149)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38848,plain,
% 9.79/7.41 ((~(v159(constB149) <=> v161(constB149))) | (~v159(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38847, 38846])).
% 9.79/7.41 tff(38849,plain,
% 9.79/7.41 (~v159(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38848, 38805])).
% 9.79/7.41 tff(38850,plain,
% 9.79/7.41 (((~v184(constB149)) | (~v159(constB149))) | v159(constB149)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38851,plain,
% 9.79/7.41 ((~v184(constB149)) | (~v159(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38850, 38849])).
% 9.79/7.41 tff(38852,plain,
% 9.79/7.41 ((~(v187(constB149) <=> (~((~v184(constB149)) | (~v159(constB149)))))) | (~v187(constB149)) | (~((~v184(constB149)) | (~v159(constB149))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38853,plain,
% 9.79/7.41 (~v187(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38852, 38851, 38803])).
% 9.79/7.41 tff(38854,plain,
% 9.79/7.41 (((~v186(constB149)) | (~v187(constB149))) | v187(constB149)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38855,plain,
% 9.79/7.41 ((~v186(constB149)) | (~v187(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38854, 38853])).
% 9.79/7.41 tff(38856,plain,
% 9.79/7.41 ((~(v185(constB149) <=> (~((~v186(constB149)) | (~v187(constB149)))))) | (~v185(constB149)) | (~((~v186(constB149)) | (~v187(constB149))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38857,plain,
% 9.79/7.41 (~v185(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38856, 38855, 38801])).
% 9.79/7.41 tff(38858,plain,
% 9.79/7.41 ((~(v181(constB149) | v185(constB149))) | v181(constB149) | v185(constB149)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38859,plain,
% 9.79/7.41 (~(v181(constB149) | v185(constB149))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38858, 38857, 38799])).
% 9.79/7.41 tff(38860,plain,
% 9.79/7.41 ((~(v178(constB149) <=> (v181(constB149) | v185(constB149)))) | (~v178(constB149)) | (v181(constB149) | v185(constB149))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38861,plain,
% 9.79/7.41 (~v178(constB149)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38860, 38859, 38726])).
% 9.79/7.41 tff(38862,plain,
% 9.79/7.41 ((~(v180(constB150) <=> v178(constB149))) | (~v180(constB150)) | v178(constB149)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38863,plain,
% 9.79/7.41 (~v180(constB150)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38862, 38861, 38724])).
% 9.79/7.41 tff(38864,plain,
% 9.79/7.41 ((~(v157(constB150) <=> v180(constB150))) | (~v157(constB150)) | v180(constB150)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38865,plain,
% 9.79/7.41 (~v157(constB150)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38864, 38863, 38720])).
% 9.79/7.41 tff(38866,plain,
% 9.79/7.41 (((~v157(constB150)) | (~v182(constB150))) | v157(constB150)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38867,plain,
% 9.79/7.41 ((~v157(constB150)) | (~v182(constB150))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38866, 38865])).
% 9.79/7.41 tff(38868,plain,
% 9.79/7.41 ((~(v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150)))))) | (~v181(constB150)) | (~((~v157(constB150)) | (~v182(constB150))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38869,plain,
% 9.79/7.41 (~v181(constB150)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38868, 38867, 38718])).
% 9.79/7.41 tff(38870,plain,
% 9.79/7.41 ((~(v181(constB150) | v185(constB150))) | v181(constB150) | v185(constB150)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38871,plain,
% 9.79/7.41 (~(v181(constB150) | v185(constB150))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38870, 38869, 38711])).
% 9.79/7.41 tff(38872,plain,
% 9.79/7.41 ((~(v178(constB150) <=> (v181(constB150) | v185(constB150)))) | (~v178(constB150)) | (v181(constB150) | v185(constB150))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38873,plain,
% 9.79/7.41 (~v178(constB150)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38872, 38871, 38686])).
% 9.79/7.41 tff(38874,plain,
% 9.79/7.41 ((~(v180(constB151) <=> v178(constB150))) | (~v180(constB151)) | v178(constB150)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38875,plain,
% 9.79/7.41 (~v180(constB151)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38874, 38873, 38684])).
% 9.79/7.41 tff(38876,plain,
% 9.79/7.41 ($false),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38875, 38680])).
% 9.79/7.41 tff(38877,plain,(~(constB151 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.79/7.41 tff(38878,assumption,(constB143 = VarCurr!0), introduced(assumption)).
% 9.79/7.41 tff(38879,plain,
% 9.79/7.41 (v180(constB143) <=> v180(VarCurr!0)),
% 9.79/7.41 inference(monotonicity,[status(thm)],[38878])).
% 9.79/7.41 tff(38880,plain,
% 9.79/7.41 (v180(VarCurr!0) <=> v180(constB143)),
% 9.79/7.41 inference(symmetry,[status(thm)],[38879])).
% 9.79/7.41 tff(38881,plain,
% 9.79/7.41 (v180(constB143)),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[59, 38880])).
% 9.79/7.41 tff(38882,plain,
% 9.79/7.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142)))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38883,plain,
% 9.79/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38884,plain,
% 9.79/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[38883, 38882])).
% 9.79/7.41 tff(38885,plain,
% 9.79/7.41 (v180(constB143) <=> v178(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38884, 3072, 70])).
% 9.79/7.41 tff(38886,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB142) <=> (v181(constB142) | v185(constB142)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38887,plain,
% 9.79/7.41 (v178(constB142) <=> (v181(constB142) | v185(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38886, 84])).
% 9.79/7.41 tff(38888,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38889,plain,
% 9.79/7.41 (v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38888, 96])).
% 9.79/7.41 tff(38890,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB142) <=> (~((~v184(constB142)) | (~v159(constB142)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38891,plain,
% 9.79/7.41 (v187(constB142) <=> (~((~v184(constB142)) | (~v159(constB142))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38890, 108])).
% 9.79/7.41 tff(38892,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38893,plain,
% 9.79/7.41 (v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38892, 120])).
% 9.79/7.41 tff(38894,plain,
% 9.79/7.41 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB142)) <=> v1(constB142))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38895,plain,
% 9.79/7.41 ((~v39(constB142)) <=> v1(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38894, 129])).
% 9.79/7.41 tff(38896,plain,
% 9.79/7.41 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142)) | (~v1(constB142))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38897,plain,
% 9.79/7.41 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38896, 3134])).
% 9.79/7.41 tff(38898,plain,
% 9.79/7.41 (~v39(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38897, 38895])).
% 9.79/7.41 tff(38899,plain,
% 9.79/7.41 (((~v39(constB142)) | (~v9(constB142))) | v39(constB142)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38900,plain,
% 9.79/7.41 ((~v39(constB142)) | (~v9(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38899, 38898])).
% 9.79/7.41 tff(38901,plain,
% 9.79/7.41 ((~(v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v184(constB142)) | (~((~v39(constB142)) | (~v9(constB142))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38902,plain,
% 9.79/7.41 ((~(v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v184(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38901, 38900])).
% 9.79/7.41 tff(38903,plain,
% 9.79/7.41 (~v184(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38902, 38893])).
% 9.79/7.41 tff(38904,plain,
% 9.79/7.41 (((~v184(constB142)) | (~v159(constB142))) | v184(constB142)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38905,plain,
% 9.79/7.41 ((~v184(constB142)) | (~v159(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38904, 38903])).
% 9.79/7.41 tff(38906,plain,
% 9.79/7.41 ((~(v187(constB142) <=> (~((~v184(constB142)) | (~v159(constB142)))))) | (~v187(constB142)) | (~((~v184(constB142)) | (~v159(constB142))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38907,plain,
% 9.79/7.41 ((~(v187(constB142) <=> (~((~v184(constB142)) | (~v159(constB142)))))) | (~v187(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38906, 38905])).
% 9.79/7.41 tff(38908,plain,
% 9.79/7.41 (~v187(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38907, 38891])).
% 9.79/7.41 tff(38909,plain,
% 9.79/7.41 (((~v186(constB142)) | (~v187(constB142))) | v187(constB142)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38910,plain,
% 9.79/7.41 ((~v186(constB142)) | (~v187(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38909, 38908])).
% 9.79/7.41 tff(38911,plain,
% 9.79/7.41 ((~(v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142)))))) | (~v185(constB142)) | (~((~v186(constB142)) | (~v187(constB142))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38912,plain,
% 9.79/7.41 (~v185(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38911, 38910, 38889])).
% 9.79/7.41 tff(38913,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142))))))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38914,plain,
% 9.79/7.41 ((v181(constB142) <=> (~((~v182(constB142)) | (~v157(constB142))))) <=> (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142)))))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38915,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v157(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142))))))),
% 9.79/7.41 inference(monotonicity,[status(thm)],[38914])).
% 9.79/7.41 tff(38916,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v157(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142))))))),
% 9.79/7.41 inference(transitivity,[status(thm)],[38915, 38913])).
% 9.79/7.41 tff(38917,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v157(constB142)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38918,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142)))))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[38917, 38916])).
% 9.79/7.41 tff(38919,plain,
% 9.79/7.41 (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38918, 161])).
% 9.79/7.41 tff(38920,plain,
% 9.79/7.41 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB142) <=> v180(constB142))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38921,plain,
% 9.79/7.41 (v157(constB142) <=> v180(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38920, 13])).
% 9.79/7.41 tff(38922,plain,
% 9.79/7.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141)))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38923,plain,
% 9.79/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38924,plain,
% 9.79/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[38923, 38922])).
% 9.79/7.41 tff(38925,plain,
% 9.79/7.41 (v180(constB142) <=> v178(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38924, 3104, 70])).
% 9.79/7.41 tff(38926,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB141) <=> (v181(constB141) | v185(constB141)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38927,plain,
% 9.79/7.41 (v178(constB141) <=> (v181(constB141) | v185(constB141))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38926, 84])).
% 9.79/7.41 tff(38928,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141))))))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38929,plain,
% 9.79/7.41 ((v181(constB141) <=> (~((~v182(constB141)) | (~v157(constB141))))) <=> (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141)))))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38930,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141))))))),
% 9.79/7.41 inference(monotonicity,[status(thm)],[38929])).
% 9.79/7.41 tff(38931,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141))))))),
% 9.79/7.41 inference(transitivity,[status(thm)],[38930, 38928])).
% 9.79/7.41 tff(38932,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v157(constB141)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38933,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141)))))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[38932, 38931])).
% 9.79/7.41 tff(38934,plain,
% 9.79/7.41 (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38933, 161])).
% 9.79/7.41 tff(38935,plain,
% 9.79/7.41 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB141)) <=> v183(constB141))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38936,plain,
% 9.79/7.41 ((~v182(constB141)) <=> v183(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38935, 193])).
% 9.79/7.41 tff(38937,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB141) <=> (v184(constB141) | v26(constB141)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38938,plain,
% 9.79/7.41 (v183(constB141) <=> (v184(constB141) | v26(constB141))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38937, 202])).
% 9.79/7.41 tff(38939,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38940,plain,
% 9.79/7.41 (v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38939, 120])).
% 9.79/7.41 tff(38941,plain,
% 9.79/7.41 (((~![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)))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(38942,plain,
% 9.79/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38943,plain,
% 9.79/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[38942, 38941])).
% 9.79/7.41 tff(38944,plain,
% 9.79/7.41 (v13(constB142) <=> v9(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38943, 3104, 216])).
% 9.79/7.41 tff(38945,plain,
% 9.79/7.41 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB142) <=> v13(constB142))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38946,plain,
% 9.79/7.41 (v6(constB142) <=> v13(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38945, 230])).
% 9.79/7.41 tff(38947,plain,
% 9.79/7.41 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB142)) <=> v6(constB142))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38948,plain,
% 9.79/7.41 ((~v21(constB142)) <=> v6(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38947, 239])).
% 9.79/7.41 tff(38949,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB142) <=> (v20(constB142) | v21(constB142)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38950,plain,
% 9.79/7.41 (v19(constB142) <=> (v20(constB142) | v21(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38949, 248])).
% 9.79/7.41 tff(38951,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38952,plain,
% 9.79/7.41 (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38951, 260])).
% 9.79/7.41 tff(38953,plain,
% 9.79/7.41 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB142)) <=> v18(constB142))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38954,plain,
% 9.79/7.41 ((~v4(constB142)) <=> v18(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38953, 269])).
% 9.79/7.41 tff(38955,plain,
% 9.79/7.41 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB142)),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38956,plain,
% 9.79/7.41 (v4(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38955, 278])).
% 9.79/7.41 tff(38957,plain,
% 9.79/7.41 ((~((~v4(constB142)) <=> v18(constB142))) | (~v4(constB142)) | (~v18(constB142))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38958,plain,
% 9.79/7.41 (~v18(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38957, 38956, 38954])).
% 9.79/7.41 tff(38959,plain,
% 9.79/7.41 ((~(v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))) | v18(constB142) | ((~v19(constB142)) | (~v22(constB142)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38960,plain,
% 9.79/7.41 ((~v19(constB142)) | (~v22(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38959, 38958, 38952])).
% 9.79/7.41 tff(38961,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB142) <=> (v1(constB142) | v6(constB142)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38962,plain,
% 9.79/7.41 (v22(constB142) <=> (v1(constB142) | v6(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38961, 291])).
% 9.79/7.41 tff(38963,plain,
% 9.79/7.41 ((v1(constB142) | v6(constB142)) | (~v1(constB142))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38964,plain,
% 9.79/7.41 (v1(constB142) | v6(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38963, 3134])).
% 9.79/7.41 tff(38965,plain,
% 9.79/7.41 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142) | (~(v1(constB142) | v6(constB142)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38966,plain,
% 9.79/7.41 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38965, 38964])).
% 9.79/7.41 tff(38967,plain,
% 9.79/7.41 (v22(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38966, 38962])).
% 9.79/7.41 tff(38968,plain,
% 9.79/7.41 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142)) | (~v22(constB142))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38969,plain,
% 9.79/7.41 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38968, 38967])).
% 9.79/7.41 tff(38970,plain,
% 9.79/7.41 (~v19(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38969, 38960])).
% 9.79/7.41 tff(38971,plain,
% 9.79/7.41 ((~(v19(constB142) <=> (v20(constB142) | v21(constB142)))) | v19(constB142) | (~(v20(constB142) | v21(constB142)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38972,plain,
% 9.79/7.41 (~(v20(constB142) | v21(constB142))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38971, 38970, 38950])).
% 9.79/7.41 tff(38973,plain,
% 9.79/7.41 ((v20(constB142) | v21(constB142)) | (~v21(constB142))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38974,plain,
% 9.79/7.41 (~v21(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38973, 38972])).
% 9.79/7.41 tff(38975,plain,
% 9.79/7.41 ((~((~v21(constB142)) <=> v6(constB142))) | v21(constB142) | v6(constB142)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38976,plain,
% 9.79/7.41 (v6(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38975, 38974, 38948])).
% 9.79/7.41 tff(38977,plain,
% 9.79/7.41 ((~(v6(constB142) <=> v13(constB142))) | (~v6(constB142)) | v13(constB142)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38978,plain,
% 9.79/7.41 (v13(constB142)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38977, 38976, 38946])).
% 9.79/7.41 tff(38979,plain,
% 9.79/7.41 ((~(v13(constB142) <=> v9(constB141))) | (~v13(constB142)) | v9(constB141)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38980,plain,
% 9.79/7.41 (v9(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38979, 38978, 38944])).
% 9.79/7.41 tff(38981,plain,
% 9.79/7.41 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB141)) <=> v1(constB141))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(38982,plain,
% 9.79/7.41 ((~v39(constB141)) <=> v1(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38981, 129])).
% 9.79/7.41 tff(38983,plain,
% 9.79/7.41 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141) | v1(constB141)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38984,plain,
% 9.79/7.41 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38983, 3126])).
% 9.79/7.41 tff(38985,plain,
% 9.79/7.41 (v39(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38984, 38982])).
% 9.79/7.41 tff(38986,plain,
% 9.79/7.41 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v39(constB141)) | (~v9(constB141))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38987,plain,
% 9.79/7.41 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v9(constB141))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38986, 38985])).
% 9.79/7.41 tff(38988,plain,
% 9.79/7.41 (~((~v39(constB141)) | (~v9(constB141)))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38987, 38980])).
% 9.79/7.41 tff(38989,plain,
% 9.79/7.41 ((~(v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))) | v184(constB141) | ((~v39(constB141)) | (~v9(constB141)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38990,plain,
% 9.79/7.41 (v184(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38989, 38988, 38940])).
% 9.79/7.41 tff(38991,plain,
% 9.79/7.41 ((v184(constB141) | v26(constB141)) | (~v184(constB141))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38992,plain,
% 9.79/7.41 (v184(constB141) | v26(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38991, 38990])).
% 9.79/7.41 tff(38993,plain,
% 9.79/7.41 ((~(v183(constB141) <=> (v184(constB141) | v26(constB141)))) | v183(constB141) | (~(v184(constB141) | v26(constB141)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38994,plain,
% 9.79/7.41 (v183(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38993, 38992, 38938])).
% 9.79/7.41 tff(38995,plain,
% 9.79/7.41 ((~((~v182(constB141)) <=> v183(constB141))) | (~v182(constB141)) | (~v183(constB141))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38996,plain,
% 9.79/7.41 (~v182(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38995, 38994, 38936])).
% 9.79/7.41 tff(38997,plain,
% 9.79/7.41 (((~v157(constB141)) | (~v182(constB141))) | v182(constB141)),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(38998,plain,
% 9.79/7.41 ((~v157(constB141)) | (~v182(constB141))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38997, 38996])).
% 9.79/7.41 tff(38999,plain,
% 9.79/7.41 ((~(v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141)))))) | (~v181(constB141)) | (~((~v157(constB141)) | (~v182(constB141))))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(39000,plain,
% 9.79/7.41 (~v181(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[38999, 38998, 38934])).
% 9.79/7.41 tff(39001,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(39002,plain,
% 9.79/7.41 (v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[39001, 96])).
% 9.79/7.41 tff(39003,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB141) <=> (~((~v184(constB141)) | (~v159(constB141)))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(39004,plain,
% 9.79/7.41 (v187(constB141) <=> (~((~v184(constB141)) | (~v159(constB141))))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[39003, 108])).
% 9.79/7.41 tff(39005,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB141) <=> v161(constB141))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(39006,plain,
% 9.79/7.41 (v159(constB141) <=> v161(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[39005, 345])).
% 9.79/7.41 tff(39007,plain,
% 9.79/7.41 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2))))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(39008,plain,
% 9.79/7.41 (v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)))),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[39007, 360])).
% 9.79/7.41 tff(39009,plain,
% 9.79/7.41 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2)))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(39010,plain,
% 9.79/7.41 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2)))),
% 9.79/7.41 inference(quant_inst,[status(thm)],[])).
% 9.79/7.41 tff(39011,plain,
% 9.79/7.41 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2))),
% 9.79/7.41 inference(modus_ponens,[status(thm)],[39010, 39009])).
% 9.79/7.41 tff(39012,plain,
% 9.79/7.41 (v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[39011, 648, 372])).
% 9.79/7.41 tff(39013,plain,
% 9.79/7.41 ((~(v88(constB141, bitIndex2) <=> v90(constB141, bitIndex2))) | v88(constB141, bitIndex2) | (~v90(constB141, bitIndex2))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(39014,plain,
% 9.79/7.41 (v88(constB141, bitIndex2)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[39013, 21208, 39012])).
% 9.79/7.41 tff(39015,plain,
% 9.79/7.41 ((v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)) | (~v88(constB141, bitIndex2))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(39016,plain,
% 9.79/7.41 (v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[39015, 39014])).
% 9.79/7.41 tff(39017,plain,
% 9.79/7.41 ((~(v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2))))) | (~v139(constB141)) | (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)))),
% 9.79/7.41 inference(tautology,[status(thm)],[])).
% 9.79/7.41 tff(39018,plain,
% 9.79/7.41 (~v139(constB141)),
% 9.79/7.41 inference(unit_resolution,[status(thm)],[39017, 39016, 39008])).
% 9.79/7.41 tff(39019,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))))))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(39020,plain,
% 9.79/7.41 ((v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))))) <=> (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0)))))),
% 9.79/7.41 inference(rewrite,[status(thm)],[])).
% 9.79/7.41 tff(39021,plain,
% 9.79/7.41 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))))))),
% 9.79/7.42 inference(monotonicity,[status(thm)],[39020])).
% 9.79/7.42 tff(39022,plain,
% 9.79/7.42 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))))))),
% 9.79/7.42 inference(transitivity,[status(thm)],[39021, 39019])).
% 9.79/7.42 tff(39023,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39024,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0)))))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39023, 39022])).
% 9.79/7.42 tff(39025,plain,
% 9.79/7.42 (v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39024, 25795])).
% 9.79/7.42 tff(39026,plain,
% 9.79/7.42 ((v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))) | (~v88(constB141, bitIndex2))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39027,plain,
% 9.79/7.42 (v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39026, 39014])).
% 9.79/7.42 tff(39028,plain,
% 9.79/7.42 ((~(v140(constB141) <=> (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0)))))) | (~v140(constB141)) | (~(v88(constB141, bitIndex2) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex0))))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39029,plain,
% 9.79/7.42 (~v140(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39028, 39027, 39025])).
% 9.79/7.42 tff(39030,plain,
% 9.79/7.42 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v168(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB141) | v139(constB141) | (~v168(constB141)))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39031,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v168(constB141)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39032,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB141) | v139(constB141) | (~v168(constB141))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39031, 39030])).
% 9.79/7.42 tff(39033,plain,
% 9.79/7.42 (v140(constB141) | v139(constB141) | (~v168(constB141))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39032, 25819])).
% 9.79/7.42 tff(39034,plain,
% 9.79/7.42 (~v168(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39033, 39029, 39018])).
% 9.79/7.42 tff(39035,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB141) <=> (v145(constB141) | v165(constB141)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39036,plain,
% 9.79/7.42 (v164(constB141) <=> (v145(constB141) | v165(constB141))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39035, 25834])).
% 9.79/7.42 tff(39037,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB141) <=> (v146(constB141) | v147(constB141)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39038,plain,
% 9.79/7.42 (v145(constB141) <=> (v146(constB141) | v147(constB141))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39037, 27691])).
% 9.79/7.42 tff(39039,plain,
% 9.79/7.42 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0)))))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39040,plain,
% 9.79/7.42 ((v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2))))) <=> (v146(constB141) <=> (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0))))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39041,plain,
% 9.79/7.42 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0)))))),
% 9.79/7.42 inference(monotonicity,[status(thm)],[39040])).
% 9.79/7.42 tff(39042,plain,
% 9.79/7.42 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0)))))),
% 9.79/7.42 inference(transitivity,[status(thm)],[39041, 39039])).
% 9.79/7.42 tff(39043,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)))))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39044,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0))))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39043, 39042])).
% 9.79/7.42 tff(39045,plain,
% 9.79/7.42 (v146(constB141) <=> (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0)))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39044, 27706])).
% 9.79/7.42 tff(39046,plain,
% 9.79/7.42 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0)))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39047,plain,
% 9.79/7.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39048,plain,
% 9.79/7.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39047, 39046])).
% 9.79/7.42 tff(39049,plain,
% 9.79/7.42 (v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39048, 9653, 372])).
% 9.79/7.42 tff(39050,plain,
% 9.79/7.42 ((~(v88(constB141, bitIndex0) <=> v90(constB141, bitIndex0))) | (~v88(constB141, bitIndex0)) | v90(constB141, bitIndex0)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39051,plain,
% 9.79/7.42 (~v88(constB141, bitIndex0)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39050, 21239, 39049])).
% 9.79/7.42 tff(39052,plain,
% 9.79/7.42 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1)))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39053,plain,
% 9.79/7.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39054,plain,
% 9.79/7.42 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39053, 39052])).
% 9.79/7.42 tff(39055,plain,
% 9.79/7.42 (v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39054, 375, 372])).
% 9.79/7.42 tff(39056,plain,
% 9.79/7.42 ((~(v88(constB141, bitIndex1) <=> v90(constB141, bitIndex1))) | (~v88(constB141, bitIndex1)) | v90(constB141, bitIndex1)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39057,plain,
% 9.79/7.42 (~v88(constB141, bitIndex1)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39056, 21270, 39055])).
% 9.79/7.42 tff(39058,plain,
% 9.79/7.42 ((~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0))) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39059,plain,
% 9.79/7.42 (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39058, 39057, 39051, 39014])).
% 9.79/7.42 tff(39060,plain,
% 9.79/7.42 ((~(v146(constB141) <=> (~((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0))))) | v146(constB141) | ((~v88(constB141, bitIndex2)) | v88(constB141, bitIndex1) | v88(constB141, bitIndex0))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39061,plain,
% 9.79/7.42 (v146(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39060, 39059, 39045])).
% 9.79/7.42 tff(39062,plain,
% 9.79/7.42 ((v146(constB141) | v147(constB141)) | (~v146(constB141))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39063,plain,
% 9.79/7.42 (v146(constB141) | v147(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39062, 39061])).
% 9.79/7.42 tff(39064,plain,
% 9.79/7.42 ((~(v145(constB141) <=> (v146(constB141) | v147(constB141)))) | v145(constB141) | (~(v146(constB141) | v147(constB141)))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39065,plain,
% 9.79/7.42 (v145(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39064, 39063, 39038])).
% 9.79/7.42 tff(39066,plain,
% 9.79/7.42 ((v145(constB141) | v165(constB141)) | (~v145(constB141))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39067,plain,
% 9.79/7.42 (v145(constB141) | v165(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39066, 39065])).
% 9.79/7.42 tff(39068,plain,
% 9.79/7.42 ((~(v164(constB141) <=> (v145(constB141) | v165(constB141)))) | v164(constB141) | (~(v145(constB141) | v165(constB141)))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39069,plain,
% 9.79/7.42 (v164(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39068, 39067, 39036])).
% 9.79/7.42 tff(39070,plain,
% 9.79/7.42 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB141)) | (v161(constB141) <=> v168(constB141)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB141)) | (v161(constB141) <=> v168(constB141)))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39071,plain,
% 9.79/7.42 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB141)) | (v161(constB141) <=> v168(constB141)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39072,plain,
% 9.79/7.42 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB141)) | (v161(constB141) <=> v168(constB141))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39071, 39070])).
% 9.79/7.42 tff(39073,plain,
% 9.79/7.42 ((~v164(constB141)) | (v161(constB141) <=> v168(constB141))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39072, 25977])).
% 9.79/7.42 tff(39074,plain,
% 9.79/7.42 (v161(constB141) <=> v168(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39073, 39069])).
% 9.79/7.42 tff(39075,plain,
% 9.79/7.42 ((~(v161(constB141) <=> v168(constB141))) | (~v161(constB141)) | v168(constB141)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39076,plain,
% 9.79/7.42 (~v161(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39075, 39074, 39034])).
% 9.79/7.42 tff(39077,plain,
% 9.79/7.42 ((~(v159(constB141) <=> v161(constB141))) | (~v159(constB141)) | v161(constB141)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39078,plain,
% 9.79/7.42 ((~(v159(constB141) <=> v161(constB141))) | (~v159(constB141))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39077, 39076])).
% 9.79/7.42 tff(39079,plain,
% 9.79/7.42 (~v159(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39078, 39006])).
% 9.79/7.42 tff(39080,plain,
% 9.79/7.42 (((~v184(constB141)) | (~v159(constB141))) | v159(constB141)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39081,plain,
% 9.79/7.42 ((~v184(constB141)) | (~v159(constB141))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39080, 39079])).
% 9.79/7.42 tff(39082,plain,
% 9.79/7.42 ((~(v187(constB141) <=> (~((~v184(constB141)) | (~v159(constB141)))))) | (~v187(constB141)) | (~((~v184(constB141)) | (~v159(constB141))))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39083,plain,
% 9.79/7.42 (~v187(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39082, 39081, 39004])).
% 9.79/7.42 tff(39084,plain,
% 9.79/7.42 (((~v186(constB141)) | (~v187(constB141))) | v187(constB141)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39085,plain,
% 9.79/7.42 ((~v186(constB141)) | (~v187(constB141))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39084, 39083])).
% 9.79/7.42 tff(39086,plain,
% 9.79/7.42 ((~(v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141)))))) | (~v185(constB141)) | (~((~v186(constB141)) | (~v187(constB141))))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39087,plain,
% 9.79/7.42 (~v185(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39086, 39085, 39002])).
% 9.79/7.42 tff(39088,plain,
% 9.79/7.42 ((~(v181(constB141) | v185(constB141))) | v181(constB141) | v185(constB141)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39089,plain,
% 9.79/7.42 (~(v181(constB141) | v185(constB141))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39088, 39087, 39000])).
% 9.79/7.42 tff(39090,plain,
% 9.79/7.42 ((~(v178(constB141) <=> (v181(constB141) | v185(constB141)))) | (~v178(constB141)) | (v181(constB141) | v185(constB141))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39091,plain,
% 9.79/7.42 (~v178(constB141)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39090, 39089, 38927])).
% 9.79/7.42 tff(39092,plain,
% 9.79/7.42 ((~(v180(constB142) <=> v178(constB141))) | (~v180(constB142)) | v178(constB141)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39093,plain,
% 9.79/7.42 (~v180(constB142)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39092, 39091, 38925])).
% 9.79/7.42 tff(39094,plain,
% 9.79/7.42 ((~(v157(constB142) <=> v180(constB142))) | (~v157(constB142)) | v180(constB142)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39095,plain,
% 9.79/7.42 (~v157(constB142)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39094, 39093, 38921])).
% 9.79/7.42 tff(39096,plain,
% 9.79/7.42 (((~v157(constB142)) | (~v182(constB142))) | v157(constB142)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39097,plain,
% 9.79/7.42 ((~v157(constB142)) | (~v182(constB142))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39096, 39095])).
% 9.79/7.42 tff(39098,plain,
% 9.79/7.42 ((~(v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142)))))) | (~v181(constB142)) | (~((~v157(constB142)) | (~v182(constB142))))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39099,plain,
% 9.79/7.42 (~v181(constB142)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39098, 39097, 38919])).
% 9.79/7.42 tff(39100,plain,
% 9.79/7.42 ((~(v181(constB142) | v185(constB142))) | v181(constB142) | v185(constB142)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39101,plain,
% 9.79/7.42 (~(v181(constB142) | v185(constB142))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39100, 39099, 38912])).
% 9.79/7.42 tff(39102,plain,
% 9.79/7.42 ((~(v178(constB142) <=> (v181(constB142) | v185(constB142)))) | (~v178(constB142)) | (v181(constB142) | v185(constB142))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39103,plain,
% 9.79/7.42 (~v178(constB142)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39102, 39101, 38887])).
% 9.79/7.42 tff(39104,plain,
% 9.79/7.42 ((~(v180(constB143) <=> v178(constB142))) | (~v180(constB143)) | v178(constB142)),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39105,plain,
% 9.79/7.42 (~v180(constB143)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39104, 39103, 38885])).
% 9.79/7.42 tff(39106,plain,
% 9.79/7.42 ($false),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39105, 38881])).
% 9.79/7.42 tff(39107,plain,(~(constB143 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.79/7.42 tff(39108,assumption,(constB113 = VarCurr!0), introduced(assumption)).
% 9.79/7.42 tff(39109,plain,
% 9.79/7.42 (v86(constB113) <=> v86(VarCurr!0)),
% 9.79/7.42 inference(monotonicity,[status(thm)],[39108])).
% 9.79/7.42 tff(39110,plain,
% 9.79/7.42 (v86(VarCurr!0) <=> v86(constB113)),
% 9.79/7.42 inference(symmetry,[status(thm)],[39109])).
% 9.79/7.42 tff(39111,plain,
% 9.79/7.42 ((~v86(VarCurr!0)) <=> (~v86(constB113))),
% 9.79/7.42 inference(monotonicity,[status(thm)],[39110])).
% 9.79/7.42 tff(39112,plain,
% 9.79/7.42 (~v86(constB113)),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[26079, 39111])).
% 9.79/7.42 tff(39113,plain,
% 9.79/7.42 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB113) | (~v142(constB113)))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39114,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB113) | (~v142(constB113)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39115,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB113) | (~v142(constB113))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39114, 39113])).
% 9.79/7.42 tff(39116,plain,
% 9.79/7.42 (v148(constB113) | (~v142(constB113))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39115, 26138])).
% 9.79/7.42 tff(39117,plain,
% 9.79/7.42 (v148(constB113)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39116, 36381])).
% 9.79/7.42 tff(39118,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB113) <=> (v136(constB113) | v145(constB113)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39119,plain,
% 9.79/7.42 (v135(constB113) <=> (v136(constB113) | v145(constB113))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39118, 26150])).
% 9.79/7.42 tff(39120,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB113) <=> (v137(constB113) | v142(constB113)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39121,plain,
% 9.79/7.42 (v136(constB113) <=> (v137(constB113) | v142(constB113))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39120, 26159])).
% 9.79/7.42 tff(39122,plain,
% 9.79/7.42 ((v137(constB113) | v142(constB113)) | (~v142(constB113))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39123,plain,
% 9.79/7.42 (v137(constB113) | v142(constB113)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39122, 36381])).
% 9.79/7.42 tff(39124,plain,
% 9.79/7.42 ((~(v136(constB113) <=> (v137(constB113) | v142(constB113)))) | v136(constB113) | (~(v137(constB113) | v142(constB113)))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39125,plain,
% 9.79/7.42 (v136(constB113)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39124, 39123, 39121])).
% 9.79/7.42 tff(39126,plain,
% 9.79/7.42 ((v136(constB113) | v145(constB113)) | (~v136(constB113))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39127,plain,
% 9.79/7.42 (v136(constB113) | v145(constB113)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39126, 39125])).
% 9.79/7.42 tff(39128,plain,
% 9.79/7.42 ((~(v135(constB113) <=> (v136(constB113) | v145(constB113)))) | v135(constB113) | (~(v136(constB113) | v145(constB113)))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39129,plain,
% 9.79/7.42 (v135(constB113)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39128, 39127, 39119])).
% 9.79/7.42 tff(39130,plain,
% 9.79/7.42 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB113)) | (v86(constB113) <=> v148(constB113)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB113)) | (v86(constB113) <=> v148(constB113)))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39131,plain,
% 9.79/7.42 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB113)) | (v86(constB113) <=> v148(constB113)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39132,plain,
% 9.79/7.42 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB113)) | (v86(constB113) <=> v148(constB113))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39131, 39130])).
% 9.79/7.42 tff(39133,plain,
% 9.79/7.42 ((~v135(constB113)) | (v86(constB113) <=> v148(constB113))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39132, 26179])).
% 9.79/7.42 tff(39134,plain,
% 9.79/7.42 (v86(constB113) <=> v148(constB113)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39133, 39129])).
% 9.79/7.42 tff(39135,plain,
% 9.79/7.42 ((~(v86(constB113) <=> v148(constB113))) | v86(constB113) | (~v148(constB113))),
% 9.79/7.42 inference(tautology,[status(thm)],[])).
% 9.79/7.42 tff(39136,plain,
% 9.79/7.42 (v86(constB113)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39135, 39134, 39117])).
% 9.79/7.42 tff(39137,plain,
% 9.79/7.42 ($false),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39136, 39112])).
% 9.79/7.42 tff(39138,plain,(~(constB113 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.79/7.42 tff(39139,assumption,(constB167 = VarCurr!0), introduced(assumption)).
% 9.79/7.42 tff(39140,plain,
% 9.79/7.42 (v180(constB167) <=> v180(VarCurr!0)),
% 9.79/7.42 inference(monotonicity,[status(thm)],[39139])).
% 9.79/7.42 tff(39141,plain,
% 9.79/7.42 (v180(VarCurr!0) <=> v180(constB167)),
% 9.79/7.42 inference(symmetry,[status(thm)],[39140])).
% 9.79/7.42 tff(39142,plain,
% 9.79/7.42 (v180(constB167)),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[59, 39141])).
% 9.79/7.42 tff(39143,plain,
% 9.79/7.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB166, constB167)) | (v180(constB167) <=> v178(constB166)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB166, constB167)) | (v180(constB167) <=> v178(constB166)))),
% 9.79/7.42 inference(rewrite,[status(thm)],[])).
% 9.79/7.42 tff(39144,plain,
% 9.79/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB166, constB167)) | (v180(constB167) <=> v178(constB166)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39145,plain,
% 9.79/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB166, constB167)) | (v180(constB167) <=> v178(constB166))),
% 9.79/7.42 inference(modus_ponens,[status(thm)],[39144, 39143])).
% 9.79/7.42 tff(39146,plain,
% 9.79/7.42 (v180(constB167) <=> v178(constB166)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39145, 1968, 70])).
% 9.79/7.42 tff(39147,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB166) <=> (v181(constB166) | v185(constB166)))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39148,plain,
% 9.79/7.42 (v178(constB166) <=> (v181(constB166) | v185(constB166))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39147, 84])).
% 9.79/7.42 tff(39149,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB166) <=> (~((~v186(constB166)) | (~v187(constB166)))))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39150,plain,
% 9.79/7.42 (v185(constB166) <=> (~((~v186(constB166)) | (~v187(constB166))))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39149, 96])).
% 9.79/7.42 tff(39151,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB166) <=> (~((~v184(constB166)) | (~v159(constB166)))))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39152,plain,
% 9.79/7.42 (v187(constB166) <=> (~((~v184(constB166)) | (~v159(constB166))))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39151, 108])).
% 9.79/7.42 tff(39153,plain,
% 9.79/7.42 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39154,plain,
% 9.79/7.42 (v184(constB166) <=> (~((~v39(constB166)) | (~v9(constB166))))),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39153, 120])).
% 9.79/7.42 tff(39155,plain,
% 9.79/7.42 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB166)) <=> v1(constB166))),
% 9.79/7.42 inference(quant_inst,[status(thm)],[])).
% 9.79/7.42 tff(39156,plain,
% 9.79/7.42 ((~v39(constB166)) <=> v1(constB166)),
% 9.79/7.42 inference(unit_resolution,[status(thm)],[39155, 129])).
% 9.85/7.42 tff(39157,plain,
% 9.85/7.42 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166)) | (~v1(constB166))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39158,plain,
% 9.85/7.42 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39157, 2030])).
% 9.85/7.42 tff(39159,plain,
% 9.85/7.42 (~v39(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39158, 39156])).
% 9.85/7.42 tff(39160,plain,
% 9.85/7.42 (((~v39(constB166)) | (~v9(constB166))) | v39(constB166)),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39161,plain,
% 9.85/7.42 ((~v39(constB166)) | (~v9(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39160, 39159])).
% 9.85/7.42 tff(39162,plain,
% 9.85/7.42 ((~(v184(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v184(constB166)) | (~((~v39(constB166)) | (~v9(constB166))))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39163,plain,
% 9.85/7.42 ((~(v184(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v184(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39162, 39161])).
% 9.85/7.42 tff(39164,plain,
% 9.85/7.42 (~v184(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39163, 39154])).
% 9.85/7.42 tff(39165,plain,
% 9.85/7.42 (((~v184(constB166)) | (~v159(constB166))) | v184(constB166)),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39166,plain,
% 9.85/7.42 ((~v184(constB166)) | (~v159(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39165, 39164])).
% 9.85/7.42 tff(39167,plain,
% 9.85/7.42 ((~(v187(constB166) <=> (~((~v184(constB166)) | (~v159(constB166)))))) | (~v187(constB166)) | (~((~v184(constB166)) | (~v159(constB166))))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39168,plain,
% 9.85/7.42 ((~(v187(constB166) <=> (~((~v184(constB166)) | (~v159(constB166)))))) | (~v187(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39167, 39166])).
% 9.85/7.42 tff(39169,plain,
% 9.85/7.42 (~v187(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39168, 39152])).
% 9.85/7.42 tff(39170,plain,
% 9.85/7.42 (((~v186(constB166)) | (~v187(constB166))) | v187(constB166)),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39171,plain,
% 9.85/7.42 ((~v186(constB166)) | (~v187(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39170, 39169])).
% 9.85/7.42 tff(39172,plain,
% 9.85/7.42 ((~(v185(constB166) <=> (~((~v186(constB166)) | (~v187(constB166)))))) | (~v185(constB166)) | (~((~v186(constB166)) | (~v187(constB166))))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39173,plain,
% 9.85/7.42 (~v185(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39172, 39171, 39150])).
% 9.85/7.42 tff(39174,plain,
% 9.85/7.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166))))))),
% 9.85/7.42 inference(rewrite,[status(thm)],[])).
% 9.85/7.42 tff(39175,plain,
% 9.85/7.42 ((v181(constB166) <=> (~((~v182(constB166)) | (~v157(constB166))))) <=> (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166)))))),
% 9.85/7.42 inference(rewrite,[status(thm)],[])).
% 9.85/7.42 tff(39176,plain,
% 9.85/7.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v182(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166))))))),
% 9.85/7.42 inference(monotonicity,[status(thm)],[39175])).
% 9.85/7.42 tff(39177,plain,
% 9.85/7.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v182(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166))))))),
% 9.85/7.42 inference(transitivity,[status(thm)],[39176, 39174])).
% 9.85/7.42 tff(39178,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v182(constB166)) | (~v157(constB166)))))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39179,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166)))))),
% 9.85/7.42 inference(modus_ponens,[status(thm)],[39178, 39177])).
% 9.85/7.42 tff(39180,plain,
% 9.85/7.42 (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166))))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39179, 161])).
% 9.85/7.42 tff(39181,plain,
% 9.85/7.42 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB166) <=> v180(constB166))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39182,plain,
% 9.85/7.42 (v157(constB166) <=> v180(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39181, 13])).
% 9.85/7.42 tff(39183,plain,
% 9.85/7.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB165, constB166)) | (v180(constB166) <=> v178(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB165, constB166)) | (v180(constB166) <=> v178(constB165)))),
% 9.85/7.42 inference(rewrite,[status(thm)],[])).
% 9.85/7.42 tff(39184,plain,
% 9.85/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB165, constB166)) | (v180(constB166) <=> v178(constB165)))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39185,plain,
% 9.85/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB165, constB166)) | (v180(constB166) <=> v178(constB165))),
% 9.85/7.42 inference(modus_ponens,[status(thm)],[39184, 39183])).
% 9.85/7.42 tff(39186,plain,
% 9.85/7.42 (v180(constB166) <=> v178(constB165)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39185, 2000, 70])).
% 9.85/7.42 tff(39187,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB165) <=> (v181(constB165) | v185(constB165)))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39188,plain,
% 9.85/7.42 (v178(constB165) <=> (v181(constB165) | v185(constB165))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39187, 84])).
% 9.85/7.42 tff(39189,plain,
% 9.85/7.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165))))))),
% 9.85/7.42 inference(rewrite,[status(thm)],[])).
% 9.85/7.42 tff(39190,plain,
% 9.85/7.42 ((v181(constB165) <=> (~((~v182(constB165)) | (~v157(constB165))))) <=> (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165)))))),
% 9.85/7.42 inference(rewrite,[status(thm)],[])).
% 9.85/7.42 tff(39191,plain,
% 9.85/7.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v182(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165))))))),
% 9.85/7.42 inference(monotonicity,[status(thm)],[39190])).
% 9.85/7.42 tff(39192,plain,
% 9.85/7.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v182(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165))))))),
% 9.85/7.42 inference(transitivity,[status(thm)],[39191, 39189])).
% 9.85/7.42 tff(39193,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v182(constB165)) | (~v157(constB165)))))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39194,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165)))))),
% 9.85/7.42 inference(modus_ponens,[status(thm)],[39193, 39192])).
% 9.85/7.42 tff(39195,plain,
% 9.85/7.42 (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165))))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39194, 161])).
% 9.85/7.42 tff(39196,plain,
% 9.85/7.42 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB165)) <=> v183(constB165))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39197,plain,
% 9.85/7.42 ((~v182(constB165)) <=> v183(constB165)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39196, 193])).
% 9.85/7.42 tff(39198,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB165) <=> (v184(constB165) | v26(constB165)))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39199,plain,
% 9.85/7.42 (v183(constB165) <=> (v184(constB165) | v26(constB165))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39198, 202])).
% 9.85/7.42 tff(39200,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39201,plain,
% 9.85/7.42 (v184(constB165) <=> (~((~v39(constB165)) | (~v9(constB165))))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39200, 120])).
% 9.85/7.42 tff(39202,plain,
% 9.85/7.42 (((~![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)))),
% 9.85/7.42 inference(rewrite,[status(thm)],[])).
% 9.85/7.42 tff(39203,plain,
% 9.85/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39204,plain,
% 9.85/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165))),
% 9.85/7.42 inference(modus_ponens,[status(thm)],[39203, 39202])).
% 9.85/7.42 tff(39205,plain,
% 9.85/7.42 (v13(constB166) <=> v9(constB165)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39204, 2000, 216])).
% 9.85/7.42 tff(39206,plain,
% 9.85/7.42 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB166) <=> v13(constB166))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39207,plain,
% 9.85/7.42 (v6(constB166) <=> v13(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39206, 230])).
% 9.85/7.42 tff(39208,plain,
% 9.85/7.42 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB166)) <=> v6(constB166))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39209,plain,
% 9.85/7.42 ((~v21(constB166)) <=> v6(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39208, 239])).
% 9.85/7.42 tff(39210,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB166) <=> (v20(constB166) | v21(constB166)))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39211,plain,
% 9.85/7.42 (v19(constB166) <=> (v20(constB166) | v21(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39210, 248])).
% 9.85/7.42 tff(39212,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39213,plain,
% 9.85/7.42 (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166))))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39212, 260])).
% 9.85/7.42 tff(39214,plain,
% 9.85/7.42 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB166)) <=> v18(constB166))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39215,plain,
% 9.85/7.42 ((~v4(constB166)) <=> v18(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39214, 269])).
% 9.85/7.42 tff(39216,plain,
% 9.85/7.42 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB166)),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39217,plain,
% 9.85/7.42 (v4(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39216, 278])).
% 9.85/7.42 tff(39218,plain,
% 9.85/7.42 ((~((~v4(constB166)) <=> v18(constB166))) | (~v4(constB166)) | (~v18(constB166))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39219,plain,
% 9.85/7.42 (~v18(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39218, 39217, 39215])).
% 9.85/7.42 tff(39220,plain,
% 9.85/7.42 ((~(v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))) | v18(constB166) | ((~v19(constB166)) | (~v22(constB166)))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39221,plain,
% 9.85/7.42 ((~v19(constB166)) | (~v22(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39220, 39219, 39213])).
% 9.85/7.42 tff(39222,plain,
% 9.85/7.42 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB166) <=> (v1(constB166) | v6(constB166)))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39223,plain,
% 9.85/7.42 (v22(constB166) <=> (v1(constB166) | v6(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39222, 291])).
% 9.85/7.42 tff(39224,plain,
% 9.85/7.42 ((v1(constB166) | v6(constB166)) | (~v1(constB166))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39225,plain,
% 9.85/7.42 (v1(constB166) | v6(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39224, 2030])).
% 9.85/7.42 tff(39226,plain,
% 9.85/7.42 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166) | (~(v1(constB166) | v6(constB166)))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39227,plain,
% 9.85/7.42 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39226, 39225])).
% 9.85/7.42 tff(39228,plain,
% 9.85/7.42 (v22(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39227, 39223])).
% 9.85/7.42 tff(39229,plain,
% 9.85/7.42 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166)) | (~v22(constB166))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39230,plain,
% 9.85/7.42 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39229, 39228])).
% 9.85/7.42 tff(39231,plain,
% 9.85/7.42 (~v19(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39230, 39221])).
% 9.85/7.42 tff(39232,plain,
% 9.85/7.42 ((~(v19(constB166) <=> (v20(constB166) | v21(constB166)))) | v19(constB166) | (~(v20(constB166) | v21(constB166)))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39233,plain,
% 9.85/7.42 (~(v20(constB166) | v21(constB166))),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39232, 39231, 39211])).
% 9.85/7.42 tff(39234,plain,
% 9.85/7.42 ((v20(constB166) | v21(constB166)) | (~v21(constB166))),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39235,plain,
% 9.85/7.42 (~v21(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39234, 39233])).
% 9.85/7.42 tff(39236,plain,
% 9.85/7.42 ((~((~v21(constB166)) <=> v6(constB166))) | v21(constB166) | v6(constB166)),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39237,plain,
% 9.85/7.42 (v6(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39236, 39235, 39209])).
% 9.85/7.42 tff(39238,plain,
% 9.85/7.42 ((~(v6(constB166) <=> v13(constB166))) | (~v6(constB166)) | v13(constB166)),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39239,plain,
% 9.85/7.42 (v13(constB166)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39238, 39237, 39207])).
% 9.85/7.42 tff(39240,plain,
% 9.85/7.42 ((~(v13(constB166) <=> v9(constB165))) | (~v13(constB166)) | v9(constB165)),
% 9.85/7.42 inference(tautology,[status(thm)],[])).
% 9.85/7.42 tff(39241,plain,
% 9.85/7.42 (v9(constB165)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39240, 39239, 39205])).
% 9.85/7.42 tff(39242,plain,
% 9.85/7.42 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB165)) <=> v1(constB165))),
% 9.85/7.42 inference(quant_inst,[status(thm)],[])).
% 9.85/7.42 tff(39243,plain,
% 9.85/7.42 ((~v39(constB165)) <=> v1(constB165)),
% 9.85/7.42 inference(unit_resolution,[status(thm)],[39242, 129])).
% 9.85/7.43 tff(39244,plain,
% 9.85/7.43 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165) | v1(constB165)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39245,plain,
% 9.85/7.43 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39244, 2022])).
% 9.85/7.43 tff(39246,plain,
% 9.85/7.43 (v39(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39245, 39243])).
% 9.85/7.43 tff(39247,plain,
% 9.85/7.43 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v39(constB165)) | (~v9(constB165))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39248,plain,
% 9.85/7.43 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v9(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39247, 39246])).
% 9.85/7.43 tff(39249,plain,
% 9.85/7.43 (~((~v39(constB165)) | (~v9(constB165)))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39248, 39241])).
% 9.85/7.43 tff(39250,plain,
% 9.85/7.43 ((~(v184(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))) | v184(constB165) | ((~v39(constB165)) | (~v9(constB165)))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39251,plain,
% 9.85/7.43 (v184(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39250, 39249, 39201])).
% 9.85/7.43 tff(39252,plain,
% 9.85/7.43 ((v184(constB165) | v26(constB165)) | (~v184(constB165))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39253,plain,
% 9.85/7.43 (v184(constB165) | v26(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39252, 39251])).
% 9.85/7.43 tff(39254,plain,
% 9.85/7.43 ((~(v183(constB165) <=> (v184(constB165) | v26(constB165)))) | v183(constB165) | (~(v184(constB165) | v26(constB165)))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39255,plain,
% 9.85/7.43 (v183(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39254, 39253, 39199])).
% 9.85/7.43 tff(39256,plain,
% 9.85/7.43 ((~((~v182(constB165)) <=> v183(constB165))) | (~v182(constB165)) | (~v183(constB165))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39257,plain,
% 9.85/7.43 (~v182(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39256, 39255, 39197])).
% 9.85/7.43 tff(39258,plain,
% 9.85/7.43 (((~v157(constB165)) | (~v182(constB165))) | v182(constB165)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39259,plain,
% 9.85/7.43 ((~v157(constB165)) | (~v182(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39258, 39257])).
% 9.85/7.43 tff(39260,plain,
% 9.85/7.43 ((~(v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165)))))) | (~v181(constB165)) | (~((~v157(constB165)) | (~v182(constB165))))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39261,plain,
% 9.85/7.43 (~v181(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39260, 39259, 39195])).
% 9.85/7.43 tff(39262,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB165) <=> (~((~v186(constB165)) | (~v187(constB165)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39263,plain,
% 9.85/7.43 (v185(constB165) <=> (~((~v186(constB165)) | (~v187(constB165))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39262, 96])).
% 9.85/7.43 tff(39264,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB165) <=> (~((~v184(constB165)) | (~v159(constB165)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39265,plain,
% 9.85/7.43 (v187(constB165) <=> (~((~v184(constB165)) | (~v159(constB165))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39264, 108])).
% 9.85/7.43 tff(39266,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB165) <=> v161(constB165))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39267,plain,
% 9.85/7.43 (v159(constB165) <=> v161(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39266, 345])).
% 9.85/7.43 tff(39268,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39269,plain,
% 9.85/7.43 (v139(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2)))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39268, 360])).
% 9.85/7.43 tff(39270,plain,
% 9.85/7.43 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2)))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39271,plain,
% 9.85/7.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39272,plain,
% 9.85/7.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39271, 39270])).
% 9.85/7.43 tff(39273,plain,
% 9.85/7.43 (v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39272, 648, 372])).
% 9.85/7.43 tff(39274,plain,
% 9.85/7.43 ((~(v88(constB165, bitIndex2) <=> v90(constB165, bitIndex2))) | v88(constB165, bitIndex2) | (~v90(constB165, bitIndex2))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39275,plain,
% 9.85/7.43 (v88(constB165, bitIndex2)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39274, 23160, 39273])).
% 9.85/7.43 tff(39276,plain,
% 9.85/7.43 ((v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex2))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39277,plain,
% 9.85/7.43 (v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39276, 39275])).
% 9.85/7.43 tff(39278,plain,
% 9.85/7.43 ((~(v139(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2))))) | (~v139(constB165)) | (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2)))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39279,plain,
% 9.85/7.43 (~v139(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39278, 39277, 39269])).
% 9.85/7.43 tff(39280,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0))))))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39281,plain,
% 9.85/7.43 ((v140(constB165) <=> (~(v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0))))) <=> (v140(constB165) <=> (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0)))))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39282,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0))))))),
% 9.85/7.43 inference(monotonicity,[status(thm)],[39281])).
% 9.85/7.43 tff(39283,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0))))))),
% 9.85/7.43 inference(transitivity,[status(thm)],[39282, 39280])).
% 9.85/7.43 tff(39284,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39285,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0)))))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39284, 39283])).
% 9.85/7.43 tff(39286,plain,
% 9.85/7.43 (v140(constB165) <=> (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39285, 25795])).
% 9.85/7.43 tff(39287,plain,
% 9.85/7.43 ((v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0))) | (~v88(constB165, bitIndex2))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39288,plain,
% 9.85/7.43 (v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39287, 39275])).
% 9.85/7.43 tff(39289,plain,
% 9.85/7.43 ((~(v140(constB165) <=> (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0)))))) | (~v140(constB165)) | (~(v88(constB165, bitIndex2) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex0))))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39290,plain,
% 9.85/7.43 (~v140(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39289, 39288, 39286])).
% 9.85/7.43 tff(39291,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB165) | v139(constB165) | (~v168(constB165)))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39292,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v168(constB165)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39293,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB165) | v139(constB165) | (~v168(constB165))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39292, 39291])).
% 9.85/7.43 tff(39294,plain,
% 9.85/7.43 (v140(constB165) | v139(constB165) | (~v168(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39293, 25819])).
% 9.85/7.43 tff(39295,plain,
% 9.85/7.43 (~v168(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39294, 39290, 39279])).
% 9.85/7.43 tff(39296,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB165) <=> (v145(constB165) | v165(constB165)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39297,plain,
% 9.85/7.43 (v164(constB165) <=> (v145(constB165) | v165(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39296, 25834])).
% 9.85/7.43 tff(39298,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB165) <=> (v146(constB165) | v147(constB165)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39299,plain,
% 9.85/7.43 (v145(constB165) <=> (v146(constB165) | v147(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39298, 27691])).
% 9.85/7.43 tff(39300,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0)))))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39301,plain,
% 9.85/7.43 ((v146(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2))))) <=> (v146(constB165) <=> (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0))))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39302,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0)))))),
% 9.85/7.43 inference(monotonicity,[status(thm)],[39301])).
% 9.85/7.43 tff(39303,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0)))))),
% 9.85/7.43 inference(transitivity,[status(thm)],[39302, 39300])).
% 9.85/7.43 tff(39304,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39305,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0))))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39304, 39303])).
% 9.85/7.43 tff(39306,plain,
% 9.85/7.43 (v146(constB165) <=> (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0)))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39305, 27706])).
% 9.85/7.43 tff(39307,plain,
% 9.85/7.43 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0)))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39308,plain,
% 9.85/7.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39309,plain,
% 9.85/7.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39308, 39307])).
% 9.85/7.43 tff(39310,plain,
% 9.85/7.43 (v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39309, 9653, 372])).
% 9.85/7.43 tff(39311,plain,
% 9.85/7.43 ((~(v88(constB165, bitIndex0) <=> v90(constB165, bitIndex0))) | (~v88(constB165, bitIndex0)) | v90(constB165, bitIndex0)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39312,plain,
% 9.85/7.43 (~v88(constB165, bitIndex0)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39311, 23191, 39310])).
% 9.85/7.43 tff(39313,plain,
% 9.85/7.43 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1)))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39314,plain,
% 9.85/7.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39315,plain,
% 9.85/7.43 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39314, 39313])).
% 9.85/7.43 tff(39316,plain,
% 9.85/7.43 (v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39315, 375, 372])).
% 9.85/7.43 tff(39317,plain,
% 9.85/7.43 ((~(v88(constB165, bitIndex1) <=> v90(constB165, bitIndex1))) | (~v88(constB165, bitIndex1)) | v90(constB165, bitIndex1)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39318,plain,
% 9.85/7.43 (~v88(constB165, bitIndex1)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39317, 23222, 39316])).
% 9.85/7.43 tff(39319,plain,
% 9.85/7.43 ((~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0))) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39320,plain,
% 9.85/7.43 (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39319, 39318, 39312, 39275])).
% 9.85/7.43 tff(39321,plain,
% 9.85/7.43 ((~(v146(constB165) <=> (~((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0))))) | v146(constB165) | ((~v88(constB165, bitIndex2)) | v88(constB165, bitIndex1) | v88(constB165, bitIndex0))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39322,plain,
% 9.85/7.43 (v146(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39321, 39320, 39306])).
% 9.85/7.43 tff(39323,plain,
% 9.85/7.43 ((v146(constB165) | v147(constB165)) | (~v146(constB165))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39324,plain,
% 9.85/7.43 (v146(constB165) | v147(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39323, 39322])).
% 9.85/7.43 tff(39325,plain,
% 9.85/7.43 ((~(v145(constB165) <=> (v146(constB165) | v147(constB165)))) | v145(constB165) | (~(v146(constB165) | v147(constB165)))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39326,plain,
% 9.85/7.43 (v145(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39325, 39324, 39299])).
% 9.85/7.43 tff(39327,plain,
% 9.85/7.43 ((v145(constB165) | v165(constB165)) | (~v145(constB165))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39328,plain,
% 9.85/7.43 (v145(constB165) | v165(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39327, 39326])).
% 9.85/7.43 tff(39329,plain,
% 9.85/7.43 ((~(v164(constB165) <=> (v145(constB165) | v165(constB165)))) | v164(constB165) | (~(v145(constB165) | v165(constB165)))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39330,plain,
% 9.85/7.43 (v164(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39329, 39328, 39297])).
% 9.85/7.43 tff(39331,plain,
% 9.85/7.43 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB165)) | (v161(constB165) <=> v168(constB165)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB165)) | (v161(constB165) <=> v168(constB165)))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39332,plain,
% 9.85/7.43 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB165)) | (v161(constB165) <=> v168(constB165)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39333,plain,
% 9.85/7.43 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB165)) | (v161(constB165) <=> v168(constB165))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39332, 39331])).
% 9.85/7.43 tff(39334,plain,
% 9.85/7.43 ((~v164(constB165)) | (v161(constB165) <=> v168(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39333, 25977])).
% 9.85/7.43 tff(39335,plain,
% 9.85/7.43 (v161(constB165) <=> v168(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39334, 39330])).
% 9.85/7.43 tff(39336,plain,
% 9.85/7.43 ((~(v161(constB165) <=> v168(constB165))) | (~v161(constB165)) | v168(constB165)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39337,plain,
% 9.85/7.43 (~v161(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39336, 39335, 39295])).
% 9.85/7.43 tff(39338,plain,
% 9.85/7.43 ((~(v159(constB165) <=> v161(constB165))) | (~v159(constB165)) | v161(constB165)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39339,plain,
% 9.85/7.43 ((~(v159(constB165) <=> v161(constB165))) | (~v159(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39338, 39337])).
% 9.85/7.43 tff(39340,plain,
% 9.85/7.43 (~v159(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39339, 39267])).
% 9.85/7.43 tff(39341,plain,
% 9.85/7.43 (((~v184(constB165)) | (~v159(constB165))) | v159(constB165)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39342,plain,
% 9.85/7.43 ((~v184(constB165)) | (~v159(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39341, 39340])).
% 9.85/7.43 tff(39343,plain,
% 9.85/7.43 ((~(v187(constB165) <=> (~((~v184(constB165)) | (~v159(constB165)))))) | (~v187(constB165)) | (~((~v184(constB165)) | (~v159(constB165))))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39344,plain,
% 9.85/7.43 (~v187(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39343, 39342, 39265])).
% 9.85/7.43 tff(39345,plain,
% 9.85/7.43 (((~v186(constB165)) | (~v187(constB165))) | v187(constB165)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39346,plain,
% 9.85/7.43 ((~v186(constB165)) | (~v187(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39345, 39344])).
% 9.85/7.43 tff(39347,plain,
% 9.85/7.43 ((~(v185(constB165) <=> (~((~v186(constB165)) | (~v187(constB165)))))) | (~v185(constB165)) | (~((~v186(constB165)) | (~v187(constB165))))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39348,plain,
% 9.85/7.43 (~v185(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39347, 39346, 39263])).
% 9.85/7.43 tff(39349,plain,
% 9.85/7.43 ((~(v181(constB165) | v185(constB165))) | v181(constB165) | v185(constB165)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39350,plain,
% 9.85/7.43 (~(v181(constB165) | v185(constB165))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39349, 39348, 39261])).
% 9.85/7.43 tff(39351,plain,
% 9.85/7.43 ((~(v178(constB165) <=> (v181(constB165) | v185(constB165)))) | (~v178(constB165)) | (v181(constB165) | v185(constB165))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39352,plain,
% 9.85/7.43 (~v178(constB165)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39351, 39350, 39188])).
% 9.85/7.43 tff(39353,plain,
% 9.85/7.43 ((~(v180(constB166) <=> v178(constB165))) | (~v180(constB166)) | v178(constB165)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39354,plain,
% 9.85/7.43 (~v180(constB166)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39353, 39352, 39186])).
% 9.85/7.43 tff(39355,plain,
% 9.85/7.43 ((~(v157(constB166) <=> v180(constB166))) | (~v157(constB166)) | v180(constB166)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39356,plain,
% 9.85/7.43 (~v157(constB166)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39355, 39354, 39182])).
% 9.85/7.43 tff(39357,plain,
% 9.85/7.43 (((~v157(constB166)) | (~v182(constB166))) | v157(constB166)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39358,plain,
% 9.85/7.43 ((~v157(constB166)) | (~v182(constB166))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39357, 39356])).
% 9.85/7.43 tff(39359,plain,
% 9.85/7.43 ((~(v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166)))))) | (~v181(constB166)) | (~((~v157(constB166)) | (~v182(constB166))))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39360,plain,
% 9.85/7.43 (~v181(constB166)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39359, 39358, 39180])).
% 9.85/7.43 tff(39361,plain,
% 9.85/7.43 ((~(v181(constB166) | v185(constB166))) | v181(constB166) | v185(constB166)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39362,plain,
% 9.85/7.43 (~(v181(constB166) | v185(constB166))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39361, 39360, 39173])).
% 9.85/7.43 tff(39363,plain,
% 9.85/7.43 ((~(v178(constB166) <=> (v181(constB166) | v185(constB166)))) | (~v178(constB166)) | (v181(constB166) | v185(constB166))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39364,plain,
% 9.85/7.43 (~v178(constB166)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39363, 39362, 39148])).
% 9.85/7.43 tff(39365,plain,
% 9.85/7.43 ((~(v180(constB167) <=> v178(constB166))) | (~v180(constB167)) | v178(constB166)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39366,plain,
% 9.85/7.43 (~v180(constB167)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39365, 39364, 39146])).
% 9.85/7.43 tff(39367,plain,
% 9.85/7.43 ($false),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39366, 39142])).
% 9.85/7.43 tff(39368,plain,(~(constB167 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.85/7.43 tff(39369,assumption,(constB19 = VarCurr!0), introduced(assumption)).
% 9.85/7.43 tff(39370,plain,
% 9.85/7.43 (v180(constB19) <=> v180(VarCurr!0)),
% 9.85/7.43 inference(monotonicity,[status(thm)],[39369])).
% 9.85/7.43 tff(39371,plain,
% 9.85/7.43 (v180(VarCurr!0) <=> v180(constB19)),
% 9.85/7.43 inference(symmetry,[status(thm)],[39370])).
% 9.85/7.43 tff(39372,plain,
% 9.85/7.43 (v180(constB19)),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[59, 39371])).
% 9.85/7.43 tff(39373,plain,
% 9.85/7.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> v178(constB18)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB18, constB19)) | (v180(constB19) <=> v178(constB18)))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39374,plain,
% 9.85/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> v178(constB18)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39375,plain,
% 9.85/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB18, constB19)) | (v180(constB19) <=> v178(constB18))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39374, 39373])).
% 9.85/7.43 tff(39376,plain,
% 9.85/7.43 (v180(constB19) <=> v178(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39375, 8776, 70])).
% 9.85/7.43 tff(39377,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB18) <=> (v181(constB18) | v185(constB18)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39378,plain,
% 9.85/7.43 (v178(constB18) <=> (v181(constB18) | v185(constB18))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39377, 84])).
% 9.85/7.43 tff(39379,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB18) <=> (~((~v186(constB18)) | (~v187(constB18)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39380,plain,
% 9.85/7.43 (v185(constB18) <=> (~((~v186(constB18)) | (~v187(constB18))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39379, 96])).
% 9.85/7.43 tff(39381,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB18) <=> (~((~v184(constB18)) | (~v159(constB18)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39382,plain,
% 9.85/7.43 (v187(constB18) <=> (~((~v184(constB18)) | (~v159(constB18))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39381, 108])).
% 9.85/7.43 tff(39383,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39384,plain,
% 9.85/7.43 (v184(constB18) <=> (~((~v39(constB18)) | (~v9(constB18))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39383, 120])).
% 9.85/7.43 tff(39385,plain,
% 9.85/7.43 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB18)) <=> v1(constB18))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39386,plain,
% 9.85/7.43 ((~v39(constB18)) <=> v1(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39385, 129])).
% 9.85/7.43 tff(39387,plain,
% 9.85/7.43 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18)) | (~v1(constB18))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39388,plain,
% 9.85/7.43 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39387, 8838])).
% 9.85/7.43 tff(39389,plain,
% 9.85/7.43 (~v39(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39388, 39386])).
% 9.85/7.43 tff(39390,plain,
% 9.85/7.43 (((~v39(constB18)) | (~v9(constB18))) | v39(constB18)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39391,plain,
% 9.85/7.43 ((~v39(constB18)) | (~v9(constB18))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39390, 39389])).
% 9.85/7.43 tff(39392,plain,
% 9.85/7.43 ((~(v184(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v184(constB18)) | (~((~v39(constB18)) | (~v9(constB18))))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39393,plain,
% 9.85/7.43 ((~(v184(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v184(constB18))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39392, 39391])).
% 9.85/7.43 tff(39394,plain,
% 9.85/7.43 (~v184(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39393, 39384])).
% 9.85/7.43 tff(39395,plain,
% 9.85/7.43 (((~v184(constB18)) | (~v159(constB18))) | v184(constB18)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39396,plain,
% 9.85/7.43 ((~v184(constB18)) | (~v159(constB18))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39395, 39394])).
% 9.85/7.43 tff(39397,plain,
% 9.85/7.43 ((~(v187(constB18) <=> (~((~v184(constB18)) | (~v159(constB18)))))) | (~v187(constB18)) | (~((~v184(constB18)) | (~v159(constB18))))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39398,plain,
% 9.85/7.43 ((~(v187(constB18) <=> (~((~v184(constB18)) | (~v159(constB18)))))) | (~v187(constB18))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39397, 39396])).
% 9.85/7.43 tff(39399,plain,
% 9.85/7.43 (~v187(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39398, 39382])).
% 9.85/7.43 tff(39400,plain,
% 9.85/7.43 (((~v186(constB18)) | (~v187(constB18))) | v187(constB18)),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39401,plain,
% 9.85/7.43 ((~v186(constB18)) | (~v187(constB18))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39400, 39399])).
% 9.85/7.43 tff(39402,plain,
% 9.85/7.43 ((~(v185(constB18) <=> (~((~v186(constB18)) | (~v187(constB18)))))) | (~v185(constB18)) | (~((~v186(constB18)) | (~v187(constB18))))),
% 9.85/7.43 inference(tautology,[status(thm)],[])).
% 9.85/7.43 tff(39403,plain,
% 9.85/7.43 (~v185(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39402, 39401, 39380])).
% 9.85/7.43 tff(39404,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18))))))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39405,plain,
% 9.85/7.43 ((v181(constB18) <=> (~((~v182(constB18)) | (~v157(constB18))))) <=> (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18)))))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39406,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v182(constB18)) | (~v157(constB18)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18))))))),
% 9.85/7.43 inference(monotonicity,[status(thm)],[39405])).
% 9.85/7.43 tff(39407,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v182(constB18)) | (~v157(constB18)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18))))))),
% 9.85/7.43 inference(transitivity,[status(thm)],[39406, 39404])).
% 9.85/7.43 tff(39408,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v182(constB18)) | (~v157(constB18)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39409,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18)))))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39408, 39407])).
% 9.85/7.43 tff(39410,plain,
% 9.85/7.43 (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39409, 161])).
% 9.85/7.43 tff(39411,plain,
% 9.85/7.43 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB18) <=> v180(constB18))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39412,plain,
% 9.85/7.43 (v157(constB18) <=> v180(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39411, 13])).
% 9.85/7.43 tff(39413,plain,
% 9.85/7.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> v178(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB17, constB18)) | (v180(constB18) <=> v178(constB17)))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39414,plain,
% 9.85/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> v178(constB17)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39415,plain,
% 9.85/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB17, constB18)) | (v180(constB18) <=> v178(constB17))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39414, 39413])).
% 9.85/7.43 tff(39416,plain,
% 9.85/7.43 (v180(constB18) <=> v178(constB17)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39415, 8808, 70])).
% 9.85/7.43 tff(39417,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB17) <=> (v181(constB17) | v185(constB17)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39418,plain,
% 9.85/7.43 (v178(constB17) <=> (v181(constB17) | v185(constB17))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39417, 84])).
% 9.85/7.43 tff(39419,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17))))))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39420,plain,
% 9.85/7.43 ((v181(constB17) <=> (~((~v182(constB17)) | (~v157(constB17))))) <=> (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17)))))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39421,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v182(constB17)) | (~v157(constB17)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17))))))),
% 9.85/7.43 inference(monotonicity,[status(thm)],[39420])).
% 9.85/7.43 tff(39422,plain,
% 9.85/7.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v182(constB17)) | (~v157(constB17)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17))))))),
% 9.85/7.43 inference(transitivity,[status(thm)],[39421, 39419])).
% 9.85/7.43 tff(39423,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v182(constB17)) | (~v157(constB17)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39424,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17)))))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39423, 39422])).
% 9.85/7.43 tff(39425,plain,
% 9.85/7.43 (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39424, 161])).
% 9.85/7.43 tff(39426,plain,
% 9.85/7.43 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB17)) <=> v183(constB17))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39427,plain,
% 9.85/7.43 ((~v182(constB17)) <=> v183(constB17)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39426, 193])).
% 9.85/7.43 tff(39428,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB17) <=> (v184(constB17) | v26(constB17)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39429,plain,
% 9.85/7.43 (v183(constB17) <=> (v184(constB17) | v26(constB17))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39428, 202])).
% 9.85/7.43 tff(39430,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB17) <=> (~((~v39(constB17)) | (~v9(constB17)))))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39431,plain,
% 9.85/7.43 (v184(constB17) <=> (~((~v39(constB17)) | (~v9(constB17))))),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39430, 120])).
% 9.85/7.43 tff(39432,plain,
% 9.85/7.43 (((~![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)))),
% 9.85/7.43 inference(rewrite,[status(thm)],[])).
% 9.85/7.43 tff(39433,plain,
% 9.85/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39434,plain,
% 9.85/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17))),
% 9.85/7.43 inference(modus_ponens,[status(thm)],[39433, 39432])).
% 9.85/7.43 tff(39435,plain,
% 9.85/7.43 (v13(constB18) <=> v9(constB17)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39434, 8808, 216])).
% 9.85/7.43 tff(39436,plain,
% 9.85/7.43 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB18) <=> v13(constB18))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39437,plain,
% 9.85/7.43 (v6(constB18) <=> v13(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39436, 230])).
% 9.85/7.43 tff(39438,plain,
% 9.85/7.43 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB18)) <=> v6(constB18))),
% 9.85/7.43 inference(quant_inst,[status(thm)],[])).
% 9.85/7.43 tff(39439,plain,
% 9.85/7.43 ((~v21(constB18)) <=> v6(constB18)),
% 9.85/7.43 inference(unit_resolution,[status(thm)],[39438, 239])).
% 9.85/7.43 tff(39440,plain,
% 9.85/7.43 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB18) <=> (v20(constB18) | v21(constB18)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39441,plain,
% 9.85/7.44 (v19(constB18) <=> (v20(constB18) | v21(constB18))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39440, 248])).
% 9.85/7.44 tff(39442,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39443,plain,
% 9.85/7.44 (v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39442, 260])).
% 9.85/7.44 tff(39444,plain,
% 9.85/7.44 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB18)) <=> v18(constB18))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39445,plain,
% 9.85/7.44 ((~v4(constB18)) <=> v18(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39444, 269])).
% 9.85/7.44 tff(39446,plain,
% 9.85/7.44 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB18)),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39447,plain,
% 9.85/7.44 (v4(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39446, 278])).
% 9.85/7.44 tff(39448,plain,
% 9.85/7.44 ((~((~v4(constB18)) <=> v18(constB18))) | (~v4(constB18)) | (~v18(constB18))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39449,plain,
% 9.85/7.44 (~v18(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39448, 39447, 39445])).
% 9.85/7.44 tff(39450,plain,
% 9.85/7.44 ((~(v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18)))))) | v18(constB18) | ((~v19(constB18)) | (~v22(constB18)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39451,plain,
% 9.85/7.44 ((~v19(constB18)) | (~v22(constB18))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39450, 39449, 39443])).
% 9.85/7.44 tff(39452,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB18) <=> (v1(constB18) | v6(constB18)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39453,plain,
% 9.85/7.44 (v22(constB18) <=> (v1(constB18) | v6(constB18))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39452, 291])).
% 9.85/7.44 tff(39454,plain,
% 9.85/7.44 ((v1(constB18) | v6(constB18)) | (~v1(constB18))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39455,plain,
% 9.85/7.44 (v1(constB18) | v6(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39454, 8838])).
% 9.85/7.44 tff(39456,plain,
% 9.85/7.44 ((~(v22(constB18) <=> (v1(constB18) | v6(constB18)))) | v22(constB18) | (~(v1(constB18) | v6(constB18)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39457,plain,
% 9.85/7.44 ((~(v22(constB18) <=> (v1(constB18) | v6(constB18)))) | v22(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39456, 39455])).
% 9.85/7.44 tff(39458,plain,
% 9.85/7.44 (v22(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39457, 39453])).
% 9.85/7.44 tff(39459,plain,
% 9.85/7.44 ((~((~v19(constB18)) | (~v22(constB18)))) | (~v19(constB18)) | (~v22(constB18))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39460,plain,
% 9.85/7.44 ((~((~v19(constB18)) | (~v22(constB18)))) | (~v19(constB18))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39459, 39458])).
% 9.85/7.44 tff(39461,plain,
% 9.85/7.44 (~v19(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39460, 39451])).
% 9.85/7.44 tff(39462,plain,
% 9.85/7.44 ((~(v19(constB18) <=> (v20(constB18) | v21(constB18)))) | v19(constB18) | (~(v20(constB18) | v21(constB18)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39463,plain,
% 9.85/7.44 (~(v20(constB18) | v21(constB18))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39462, 39461, 39441])).
% 9.85/7.44 tff(39464,plain,
% 9.85/7.44 ((v20(constB18) | v21(constB18)) | (~v21(constB18))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39465,plain,
% 9.85/7.44 (~v21(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39464, 39463])).
% 9.85/7.44 tff(39466,plain,
% 9.85/7.44 ((~((~v21(constB18)) <=> v6(constB18))) | v21(constB18) | v6(constB18)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39467,plain,
% 9.85/7.44 (v6(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39466, 39465, 39439])).
% 9.85/7.44 tff(39468,plain,
% 9.85/7.44 ((~(v6(constB18) <=> v13(constB18))) | (~v6(constB18)) | v13(constB18)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39469,plain,
% 9.85/7.44 (v13(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39468, 39467, 39437])).
% 9.85/7.44 tff(39470,plain,
% 9.85/7.44 ((~(v13(constB18) <=> v9(constB17))) | (~v13(constB18)) | v9(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39471,plain,
% 9.85/7.44 (v9(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39470, 39469, 39435])).
% 9.85/7.44 tff(39472,plain,
% 9.85/7.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB17)) <=> v1(constB17))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39473,plain,
% 9.85/7.44 ((~v39(constB17)) <=> v1(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39472, 129])).
% 9.85/7.44 tff(39474,plain,
% 9.85/7.44 ((~((~v39(constB17)) <=> v1(constB17))) | v39(constB17) | v1(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39475,plain,
% 9.85/7.44 ((~((~v39(constB17)) <=> v1(constB17))) | v39(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39474, 8830])).
% 9.85/7.44 tff(39476,plain,
% 9.85/7.44 (v39(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39475, 39473])).
% 9.85/7.44 tff(39477,plain,
% 9.85/7.44 ((~((~v39(constB17)) | (~v9(constB17)))) | (~v39(constB17)) | (~v9(constB17))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39478,plain,
% 9.85/7.44 ((~((~v39(constB17)) | (~v9(constB17)))) | (~v9(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39477, 39476])).
% 9.85/7.44 tff(39479,plain,
% 9.85/7.44 (~((~v39(constB17)) | (~v9(constB17)))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39478, 39471])).
% 9.85/7.44 tff(39480,plain,
% 9.85/7.44 ((~(v184(constB17) <=> (~((~v39(constB17)) | (~v9(constB17)))))) | v184(constB17) | ((~v39(constB17)) | (~v9(constB17)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39481,plain,
% 9.85/7.44 (v184(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39480, 39479, 39431])).
% 9.85/7.44 tff(39482,plain,
% 9.85/7.44 ((v184(constB17) | v26(constB17)) | (~v184(constB17))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39483,plain,
% 9.85/7.44 (v184(constB17) | v26(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39482, 39481])).
% 9.85/7.44 tff(39484,plain,
% 9.85/7.44 ((~(v183(constB17) <=> (v184(constB17) | v26(constB17)))) | v183(constB17) | (~(v184(constB17) | v26(constB17)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39485,plain,
% 9.85/7.44 (v183(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39484, 39483, 39429])).
% 9.85/7.44 tff(39486,plain,
% 9.85/7.44 ((~((~v182(constB17)) <=> v183(constB17))) | (~v182(constB17)) | (~v183(constB17))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39487,plain,
% 9.85/7.44 (~v182(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39486, 39485, 39427])).
% 9.85/7.44 tff(39488,plain,
% 9.85/7.44 (((~v157(constB17)) | (~v182(constB17))) | v182(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39489,plain,
% 9.85/7.44 ((~v157(constB17)) | (~v182(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39488, 39487])).
% 9.85/7.44 tff(39490,plain,
% 9.85/7.44 ((~(v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17)))))) | (~v181(constB17)) | (~((~v157(constB17)) | (~v182(constB17))))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39491,plain,
% 9.85/7.44 (~v181(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39490, 39489, 39425])).
% 9.85/7.44 tff(39492,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB17) <=> (~((~v186(constB17)) | (~v187(constB17)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39493,plain,
% 9.85/7.44 (v185(constB17) <=> (~((~v186(constB17)) | (~v187(constB17))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39492, 96])).
% 9.85/7.44 tff(39494,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB17) <=> (~((~v184(constB17)) | (~v159(constB17)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39495,plain,
% 9.85/7.44 (v187(constB17) <=> (~((~v184(constB17)) | (~v159(constB17))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39494, 108])).
% 9.85/7.44 tff(39496,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB17) <=> v161(constB17))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39497,plain,
% 9.85/7.44 (v159(constB17) <=> v161(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39496, 345])).
% 9.85/7.44 tff(39498,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39499,plain,
% 9.85/7.44 (v139(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2)))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39498, 360])).
% 9.85/7.44 tff(39500,plain,
% 9.85/7.44 ((v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2)) | (~v88(constB17, bitIndex1))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39501,plain,
% 9.85/7.44 (v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39500, 37738])).
% 9.85/7.44 tff(39502,plain,
% 9.85/7.44 ((~(v139(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2))))) | (~v139(constB17)) | (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39503,plain,
% 9.85/7.44 (~v139(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39502, 39501, 39499])).
% 9.85/7.44 tff(39504,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39505,plain,
% 9.85/7.44 ((v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0))))) <=> (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39506,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))))),
% 9.85/7.44 inference(monotonicity,[status(thm)],[39505])).
% 9.85/7.44 tff(39507,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))))),
% 9.85/7.44 inference(transitivity,[status(thm)],[39506, 39504])).
% 9.85/7.44 tff(39508,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39509,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39508, 39507])).
% 9.85/7.44 tff(39510,plain,
% 9.85/7.44 (v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39509, 25795])).
% 9.85/7.44 tff(39511,plain,
% 9.85/7.44 ((v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))) | (~v88(constB17, bitIndex1))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39512,plain,
% 9.85/7.44 (v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39511, 37738])).
% 9.85/7.44 tff(39513,plain,
% 9.85/7.44 ((~(v140(constB17) <=> (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)))))) | (~v140(constB17)) | (~(v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0))))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39514,plain,
% 9.85/7.44 (~v140(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39513, 39512, 39510])).
% 9.85/7.44 tff(39515,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v168(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB17) | v140(constB17) | (~v168(constB17)))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39516,plain,
% 9.85/7.44 ((v140(constB17) | v139(constB17) | (~v168(constB17))) <=> (v139(constB17) | v140(constB17) | (~v168(constB17)))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39517,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB17) | v139(constB17) | (~v168(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v168(constB17))))),
% 9.85/7.44 inference(monotonicity,[status(thm)],[39516])).
% 9.85/7.44 tff(39518,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB17) | v139(constB17) | (~v168(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB17) | v140(constB17) | (~v168(constB17)))),
% 9.85/7.44 inference(transitivity,[status(thm)],[39517, 39515])).
% 9.85/7.44 tff(39519,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB17) | v139(constB17) | (~v168(constB17)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39520,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB17) | v140(constB17) | (~v168(constB17))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39519, 39518])).
% 9.85/7.44 tff(39521,plain,
% 9.85/7.44 (v139(constB17) | v140(constB17) | (~v168(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39520, 25819])).
% 9.85/7.44 tff(39522,plain,
% 9.85/7.44 (~v168(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39521, 39514, 39503])).
% 9.85/7.44 tff(39523,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB17) <=> (v145(constB17) | v165(constB17)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39524,plain,
% 9.85/7.44 (v164(constB17) <=> (v145(constB17) | v165(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39523, 25834])).
% 9.85/7.44 tff(39525,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB17) <=> (v142(constB17) | v166(constB17)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39526,plain,
% 9.85/7.44 (v165(constB17) <=> (v142(constB17) | v166(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39525, 25846])).
% 9.85/7.44 tff(39527,plain,
% 9.85/7.44 ((v142(constB17) | v166(constB17)) | (~v142(constB17))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39528,plain,
% 9.85/7.44 (v142(constB17) | v166(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39527, 37746])).
% 9.85/7.44 tff(39529,plain,
% 9.85/7.44 ((~(v165(constB17) <=> (v142(constB17) | v166(constB17)))) | v165(constB17) | (~(v142(constB17) | v166(constB17)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39530,plain,
% 9.85/7.44 (v165(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39529, 39528, 39526])).
% 9.85/7.44 tff(39531,plain,
% 9.85/7.44 ((v145(constB17) | v165(constB17)) | (~v165(constB17))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39532,plain,
% 9.85/7.44 (v145(constB17) | v165(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39531, 39530])).
% 9.85/7.44 tff(39533,plain,
% 9.85/7.44 ((~(v164(constB17) <=> (v145(constB17) | v165(constB17)))) | v164(constB17) | (~(v145(constB17) | v165(constB17)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39534,plain,
% 9.85/7.44 (v164(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39533, 39532, 39524])).
% 9.85/7.44 tff(39535,plain,
% 9.85/7.44 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB17)) | (v161(constB17) <=> v168(constB17)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB17)) | (v161(constB17) <=> v168(constB17)))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39536,plain,
% 9.85/7.44 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB17)) | (v161(constB17) <=> v168(constB17)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39537,plain,
% 9.85/7.44 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB17)) | (v161(constB17) <=> v168(constB17))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39536, 39535])).
% 9.85/7.44 tff(39538,plain,
% 9.85/7.44 ((~v164(constB17)) | (v161(constB17) <=> v168(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39537, 25977])).
% 9.85/7.44 tff(39539,plain,
% 9.85/7.44 (v161(constB17) <=> v168(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39538, 39534])).
% 9.85/7.44 tff(39540,plain,
% 9.85/7.44 ((~(v161(constB17) <=> v168(constB17))) | (~v161(constB17)) | v168(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39541,plain,
% 9.85/7.44 (~v161(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39540, 39539, 39522])).
% 9.85/7.44 tff(39542,plain,
% 9.85/7.44 ((~(v159(constB17) <=> v161(constB17))) | (~v159(constB17)) | v161(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39543,plain,
% 9.85/7.44 ((~(v159(constB17) <=> v161(constB17))) | (~v159(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39542, 39541])).
% 9.85/7.44 tff(39544,plain,
% 9.85/7.44 (~v159(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39543, 39497])).
% 9.85/7.44 tff(39545,plain,
% 9.85/7.44 (((~v184(constB17)) | (~v159(constB17))) | v159(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39546,plain,
% 9.85/7.44 ((~v184(constB17)) | (~v159(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39545, 39544])).
% 9.85/7.44 tff(39547,plain,
% 9.85/7.44 ((~(v187(constB17) <=> (~((~v184(constB17)) | (~v159(constB17)))))) | (~v187(constB17)) | (~((~v184(constB17)) | (~v159(constB17))))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39548,plain,
% 9.85/7.44 (~v187(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39547, 39546, 39495])).
% 9.85/7.44 tff(39549,plain,
% 9.85/7.44 (((~v186(constB17)) | (~v187(constB17))) | v187(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39550,plain,
% 9.85/7.44 ((~v186(constB17)) | (~v187(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39549, 39548])).
% 9.85/7.44 tff(39551,plain,
% 9.85/7.44 ((~(v185(constB17) <=> (~((~v186(constB17)) | (~v187(constB17)))))) | (~v185(constB17)) | (~((~v186(constB17)) | (~v187(constB17))))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39552,plain,
% 9.85/7.44 (~v185(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39551, 39550, 39493])).
% 9.85/7.44 tff(39553,plain,
% 9.85/7.44 ((~(v181(constB17) | v185(constB17))) | v181(constB17) | v185(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39554,plain,
% 9.85/7.44 (~(v181(constB17) | v185(constB17))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39553, 39552, 39491])).
% 9.85/7.44 tff(39555,plain,
% 9.85/7.44 ((~(v178(constB17) <=> (v181(constB17) | v185(constB17)))) | (~v178(constB17)) | (v181(constB17) | v185(constB17))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39556,plain,
% 9.85/7.44 (~v178(constB17)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39555, 39554, 39418])).
% 9.85/7.44 tff(39557,plain,
% 9.85/7.44 ((~(v180(constB18) <=> v178(constB17))) | (~v180(constB18)) | v178(constB17)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39558,plain,
% 9.85/7.44 (~v180(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39557, 39556, 39416])).
% 9.85/7.44 tff(39559,plain,
% 9.85/7.44 ((~(v157(constB18) <=> v180(constB18))) | (~v157(constB18)) | v180(constB18)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39560,plain,
% 9.85/7.44 (~v157(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39559, 39558, 39412])).
% 9.85/7.44 tff(39561,plain,
% 9.85/7.44 (((~v157(constB18)) | (~v182(constB18))) | v157(constB18)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39562,plain,
% 9.85/7.44 ((~v157(constB18)) | (~v182(constB18))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39561, 39560])).
% 9.85/7.44 tff(39563,plain,
% 9.85/7.44 ((~(v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18)))))) | (~v181(constB18)) | (~((~v157(constB18)) | (~v182(constB18))))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39564,plain,
% 9.85/7.44 (~v181(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39563, 39562, 39410])).
% 9.85/7.44 tff(39565,plain,
% 9.85/7.44 ((~(v181(constB18) | v185(constB18))) | v181(constB18) | v185(constB18)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39566,plain,
% 9.85/7.44 (~(v181(constB18) | v185(constB18))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39565, 39564, 39403])).
% 9.85/7.44 tff(39567,plain,
% 9.85/7.44 ((~(v178(constB18) <=> (v181(constB18) | v185(constB18)))) | (~v178(constB18)) | (v181(constB18) | v185(constB18))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39568,plain,
% 9.85/7.44 (~v178(constB18)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39567, 39566, 39378])).
% 9.85/7.44 tff(39569,plain,
% 9.85/7.44 ((~(v180(constB19) <=> v178(constB18))) | (~v180(constB19)) | v178(constB18)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39570,plain,
% 9.85/7.44 (~v180(constB19)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39569, 39568, 39376])).
% 9.85/7.44 tff(39571,plain,
% 9.85/7.44 ($false),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39570, 39372])).
% 9.85/7.44 tff(39572,plain,(~(constB19 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.85/7.44 tff(39573,assumption,(constB145 = VarCurr!0), introduced(assumption)).
% 9.85/7.44 tff(39574,plain,
% 9.85/7.44 (v86(constB145) <=> v86(VarCurr!0)),
% 9.85/7.44 inference(monotonicity,[status(thm)],[39573])).
% 9.85/7.44 tff(39575,plain,
% 9.85/7.44 (v86(VarCurr!0) <=> v86(constB145)),
% 9.85/7.44 inference(symmetry,[status(thm)],[39574])).
% 9.85/7.44 tff(39576,plain,
% 9.85/7.44 ((~v86(VarCurr!0)) <=> (~v86(constB145))),
% 9.85/7.44 inference(monotonicity,[status(thm)],[39575])).
% 9.85/7.44 tff(39577,plain,
% 9.85/7.44 (~v86(constB145)),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[26079, 39576])).
% 9.85/7.44 tff(39578,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145)))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39579,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39580,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39579, 39578])).
% 9.85/7.44 tff(39581,plain,
% 9.85/7.44 (v148(constB145) | (~v142(constB145))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39580, 26138])).
% 9.85/7.44 tff(39582,plain,
% 9.85/7.44 (v148(constB145)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39581, 31131])).
% 9.85/7.44 tff(39583,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB145) <=> (v136(constB145) | v145(constB145)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39584,plain,
% 9.85/7.44 (v135(constB145) <=> (v136(constB145) | v145(constB145))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39583, 26150])).
% 9.85/7.44 tff(39585,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB145) <=> (v137(constB145) | v142(constB145)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39586,plain,
% 9.85/7.44 (v136(constB145) <=> (v137(constB145) | v142(constB145))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39585, 26159])).
% 9.85/7.44 tff(39587,plain,
% 9.85/7.44 ((v137(constB145) | v142(constB145)) | (~v142(constB145))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39588,plain,
% 9.85/7.44 (v137(constB145) | v142(constB145)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39587, 31131])).
% 9.85/7.44 tff(39589,plain,
% 9.85/7.44 ((~(v136(constB145) <=> (v137(constB145) | v142(constB145)))) | v136(constB145) | (~(v137(constB145) | v142(constB145)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39590,plain,
% 9.85/7.44 (v136(constB145)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39589, 39588, 39586])).
% 9.85/7.44 tff(39591,plain,
% 9.85/7.44 ((v136(constB145) | v145(constB145)) | (~v136(constB145))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39592,plain,
% 9.85/7.44 (v136(constB145) | v145(constB145)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39591, 39590])).
% 9.85/7.44 tff(39593,plain,
% 9.85/7.44 ((~(v135(constB145) <=> (v136(constB145) | v145(constB145)))) | v135(constB145) | (~(v136(constB145) | v145(constB145)))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39594,plain,
% 9.85/7.44 (v135(constB145)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39593, 39592, 39584])).
% 9.85/7.44 tff(39595,plain,
% 9.85/7.44 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB145)) | (v86(constB145) <=> v148(constB145)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB145)) | (v86(constB145) <=> v148(constB145)))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39596,plain,
% 9.85/7.44 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB145)) | (v86(constB145) <=> v148(constB145)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39597,plain,
% 9.85/7.44 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB145)) | (v86(constB145) <=> v148(constB145))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39596, 39595])).
% 9.85/7.44 tff(39598,plain,
% 9.85/7.44 ((~v135(constB145)) | (v86(constB145) <=> v148(constB145))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39597, 26179])).
% 9.85/7.44 tff(39599,plain,
% 9.85/7.44 (v86(constB145) <=> v148(constB145)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39598, 39594])).
% 9.85/7.44 tff(39600,plain,
% 9.85/7.44 ((~(v86(constB145) <=> v148(constB145))) | v86(constB145) | (~v148(constB145))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39601,plain,
% 9.85/7.44 (v86(constB145)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39600, 39599, 39582])).
% 9.85/7.44 tff(39602,plain,
% 9.85/7.44 ($false),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39601, 39577])).
% 9.85/7.44 tff(39603,plain,(~(constB145 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.85/7.44 tff(39604,assumption,(constB107 = VarCurr!0), introduced(assumption)).
% 9.85/7.44 tff(39605,plain,
% 9.85/7.44 (v180(constB107) <=> v180(VarCurr!0)),
% 9.85/7.44 inference(monotonicity,[status(thm)],[39604])).
% 9.85/7.44 tff(39606,plain,
% 9.85/7.44 (v180(VarCurr!0) <=> v180(constB107)),
% 9.85/7.44 inference(symmetry,[status(thm)],[39605])).
% 9.85/7.44 tff(39607,plain,
% 9.85/7.44 (v180(constB107)),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[59, 39606])).
% 9.85/7.44 tff(39608,plain,
% 9.85/7.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106)))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39609,plain,
% 9.85/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39610,plain,
% 9.85/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39609, 39608])).
% 9.85/7.44 tff(39611,plain,
% 9.85/7.44 (v180(constB107) <=> v178(constB106)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39610, 4728, 70])).
% 9.85/7.44 tff(39612,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB106) <=> (v181(constB106) | v185(constB106)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39613,plain,
% 9.85/7.44 (v178(constB106) <=> (v181(constB106) | v185(constB106))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39612, 84])).
% 9.85/7.44 tff(39614,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39615,plain,
% 9.85/7.44 (v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39614, 96])).
% 9.85/7.44 tff(39616,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB106) <=> (~((~v184(constB106)) | (~v159(constB106)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39617,plain,
% 9.85/7.44 (v187(constB106) <=> (~((~v184(constB106)) | (~v159(constB106))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39616, 108])).
% 9.85/7.44 tff(39618,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39619,plain,
% 9.85/7.44 (v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39618, 120])).
% 9.85/7.44 tff(39620,plain,
% 9.85/7.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB106)) <=> v1(constB106))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39621,plain,
% 9.85/7.44 ((~v39(constB106)) <=> v1(constB106)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39620, 129])).
% 9.85/7.44 tff(39622,plain,
% 9.85/7.44 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106)) | (~v1(constB106))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39623,plain,
% 9.85/7.44 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39622, 4790])).
% 9.85/7.44 tff(39624,plain,
% 9.85/7.44 (~v39(constB106)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39623, 39621])).
% 9.85/7.44 tff(39625,plain,
% 9.85/7.44 (((~v39(constB106)) | (~v9(constB106))) | v39(constB106)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39626,plain,
% 9.85/7.44 ((~v39(constB106)) | (~v9(constB106))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39625, 39624])).
% 9.85/7.44 tff(39627,plain,
% 9.85/7.44 ((~(v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v184(constB106)) | (~((~v39(constB106)) | (~v9(constB106))))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39628,plain,
% 9.85/7.44 ((~(v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v184(constB106))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39627, 39626])).
% 9.85/7.44 tff(39629,plain,
% 9.85/7.44 (~v184(constB106)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39628, 39619])).
% 9.85/7.44 tff(39630,plain,
% 9.85/7.44 (((~v184(constB106)) | (~v159(constB106))) | v184(constB106)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39631,plain,
% 9.85/7.44 ((~v184(constB106)) | (~v159(constB106))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39630, 39629])).
% 9.85/7.44 tff(39632,plain,
% 9.85/7.44 ((~(v187(constB106) <=> (~((~v184(constB106)) | (~v159(constB106)))))) | (~v187(constB106)) | (~((~v184(constB106)) | (~v159(constB106))))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39633,plain,
% 9.85/7.44 ((~(v187(constB106) <=> (~((~v184(constB106)) | (~v159(constB106)))))) | (~v187(constB106))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39632, 39631])).
% 9.85/7.44 tff(39634,plain,
% 9.85/7.44 (~v187(constB106)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39633, 39617])).
% 9.85/7.44 tff(39635,plain,
% 9.85/7.44 (((~v186(constB106)) | (~v187(constB106))) | v187(constB106)),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39636,plain,
% 9.85/7.44 ((~v186(constB106)) | (~v187(constB106))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39635, 39634])).
% 9.85/7.44 tff(39637,plain,
% 9.85/7.44 ((~(v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106)))))) | (~v185(constB106)) | (~((~v186(constB106)) | (~v187(constB106))))),
% 9.85/7.44 inference(tautology,[status(thm)],[])).
% 9.85/7.44 tff(39638,plain,
% 9.85/7.44 (~v185(constB106)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39637, 39636, 39615])).
% 9.85/7.44 tff(39639,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106))))))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39640,plain,
% 9.85/7.44 ((v181(constB106) <=> (~((~v182(constB106)) | (~v157(constB106))))) <=> (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106)))))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39641,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106))))))),
% 9.85/7.44 inference(monotonicity,[status(thm)],[39640])).
% 9.85/7.44 tff(39642,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106))))))),
% 9.85/7.44 inference(transitivity,[status(thm)],[39641, 39639])).
% 9.85/7.44 tff(39643,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v157(constB106)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39644,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106)))))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39643, 39642])).
% 9.85/7.44 tff(39645,plain,
% 9.85/7.44 (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39644, 161])).
% 9.85/7.44 tff(39646,plain,
% 9.85/7.44 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB106) <=> v180(constB106))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39647,plain,
% 9.85/7.44 (v157(constB106) <=> v180(constB106)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39646, 13])).
% 9.85/7.44 tff(39648,plain,
% 9.85/7.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105)))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39649,plain,
% 9.85/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39650,plain,
% 9.85/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39649, 39648])).
% 9.85/7.44 tff(39651,plain,
% 9.85/7.44 (v180(constB106) <=> v178(constB105)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39650, 4760, 70])).
% 9.85/7.44 tff(39652,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB105) <=> (v181(constB105) | v185(constB105)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39653,plain,
% 9.85/7.44 (v178(constB105) <=> (v181(constB105) | v185(constB105))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39652, 84])).
% 9.85/7.44 tff(39654,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105))))))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39655,plain,
% 9.85/7.44 ((v181(constB105) <=> (~((~v182(constB105)) | (~v157(constB105))))) <=> (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105)))))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39656,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v157(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105))))))),
% 9.85/7.44 inference(monotonicity,[status(thm)],[39655])).
% 9.85/7.44 tff(39657,plain,
% 9.85/7.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v157(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105))))))),
% 9.85/7.44 inference(transitivity,[status(thm)],[39656, 39654])).
% 9.85/7.44 tff(39658,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v157(constB105)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39659,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105)))))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39658, 39657])).
% 9.85/7.44 tff(39660,plain,
% 9.85/7.44 (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39659, 161])).
% 9.85/7.44 tff(39661,plain,
% 9.85/7.44 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB105)) <=> v183(constB105))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39662,plain,
% 9.85/7.44 ((~v182(constB105)) <=> v183(constB105)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39661, 193])).
% 9.85/7.44 tff(39663,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB105) <=> (v184(constB105) | v26(constB105)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39664,plain,
% 9.85/7.44 (v183(constB105) <=> (v184(constB105) | v26(constB105))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39663, 202])).
% 9.85/7.44 tff(39665,plain,
% 9.85/7.44 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39666,plain,
% 9.85/7.44 (v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105))))),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39665, 120])).
% 9.85/7.44 tff(39667,plain,
% 9.85/7.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 9.85/7.44 inference(rewrite,[status(thm)],[])).
% 9.85/7.44 tff(39668,plain,
% 9.85/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39669,plain,
% 9.85/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105))),
% 9.85/7.44 inference(modus_ponens,[status(thm)],[39668, 39667])).
% 9.85/7.44 tff(39670,plain,
% 9.85/7.44 (v13(constB106) <=> v9(constB105)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39669, 4760, 216])).
% 9.85/7.44 tff(39671,plain,
% 9.85/7.44 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB106) <=> v13(constB106))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.44 tff(39672,plain,
% 9.85/7.44 (v6(constB106) <=> v13(constB106)),
% 9.85/7.44 inference(unit_resolution,[status(thm)],[39671, 230])).
% 9.85/7.44 tff(39673,plain,
% 9.85/7.44 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB106)) <=> v6(constB106))),
% 9.85/7.44 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39674,plain,
% 9.85/7.45 ((~v21(constB106)) <=> v6(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39673, 239])).
% 9.85/7.45 tff(39675,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB106) <=> (v20(constB106) | v21(constB106)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39676,plain,
% 9.85/7.45 (v19(constB106) <=> (v20(constB106) | v21(constB106))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39675, 248])).
% 9.85/7.45 tff(39677,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39678,plain,
% 9.85/7.45 (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106))))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39677, 260])).
% 9.85/7.45 tff(39679,plain,
% 9.85/7.45 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB106)) <=> v18(constB106))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39680,plain,
% 9.85/7.45 ((~v4(constB106)) <=> v18(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39679, 269])).
% 9.85/7.45 tff(39681,plain,
% 9.85/7.45 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB106)),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39682,plain,
% 9.85/7.45 (v4(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39681, 278])).
% 9.85/7.45 tff(39683,plain,
% 9.85/7.45 ((~((~v4(constB106)) <=> v18(constB106))) | (~v4(constB106)) | (~v18(constB106))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39684,plain,
% 9.85/7.45 (~v18(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39683, 39682, 39680])).
% 9.85/7.45 tff(39685,plain,
% 9.85/7.45 ((~(v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))) | v18(constB106) | ((~v19(constB106)) | (~v22(constB106)))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39686,plain,
% 9.85/7.45 ((~v19(constB106)) | (~v22(constB106))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39685, 39684, 39678])).
% 9.85/7.45 tff(39687,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB106) <=> (v1(constB106) | v6(constB106)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39688,plain,
% 9.85/7.45 (v22(constB106) <=> (v1(constB106) | v6(constB106))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39687, 291])).
% 9.85/7.45 tff(39689,plain,
% 9.85/7.45 ((v1(constB106) | v6(constB106)) | (~v1(constB106))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39690,plain,
% 9.85/7.45 (v1(constB106) | v6(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39689, 4790])).
% 9.85/7.45 tff(39691,plain,
% 9.85/7.45 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106) | (~(v1(constB106) | v6(constB106)))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39692,plain,
% 9.85/7.45 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39691, 39690])).
% 9.85/7.45 tff(39693,plain,
% 9.85/7.45 (v22(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39692, 39688])).
% 9.85/7.45 tff(39694,plain,
% 9.85/7.45 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106)) | (~v22(constB106))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39695,plain,
% 9.85/7.45 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39694, 39693])).
% 9.85/7.45 tff(39696,plain,
% 9.85/7.45 (~v19(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39695, 39686])).
% 9.85/7.45 tff(39697,plain,
% 9.85/7.45 ((~(v19(constB106) <=> (v20(constB106) | v21(constB106)))) | v19(constB106) | (~(v20(constB106) | v21(constB106)))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39698,plain,
% 9.85/7.45 (~(v20(constB106) | v21(constB106))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39697, 39696, 39676])).
% 9.85/7.45 tff(39699,plain,
% 9.85/7.45 ((v20(constB106) | v21(constB106)) | (~v21(constB106))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39700,plain,
% 9.85/7.45 (~v21(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39699, 39698])).
% 9.85/7.45 tff(39701,plain,
% 9.85/7.45 ((~((~v21(constB106)) <=> v6(constB106))) | v21(constB106) | v6(constB106)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39702,plain,
% 9.85/7.45 (v6(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39701, 39700, 39674])).
% 9.85/7.45 tff(39703,plain,
% 9.85/7.45 ((~(v6(constB106) <=> v13(constB106))) | (~v6(constB106)) | v13(constB106)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39704,plain,
% 9.85/7.45 (v13(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39703, 39702, 39672])).
% 9.85/7.45 tff(39705,plain,
% 9.85/7.45 ((~(v13(constB106) <=> v9(constB105))) | (~v13(constB106)) | v9(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39706,plain,
% 9.85/7.45 (v9(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39705, 39704, 39670])).
% 9.85/7.45 tff(39707,plain,
% 9.85/7.45 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB105)) <=> v1(constB105))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39708,plain,
% 9.85/7.45 ((~v39(constB105)) <=> v1(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39707, 129])).
% 9.85/7.45 tff(39709,plain,
% 9.85/7.45 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105) | v1(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39710,plain,
% 9.85/7.45 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39709, 4782])).
% 9.85/7.45 tff(39711,plain,
% 9.85/7.45 (v39(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39710, 39708])).
% 9.85/7.45 tff(39712,plain,
% 9.85/7.45 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v39(constB105)) | (~v9(constB105))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39713,plain,
% 9.85/7.45 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v9(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39712, 39711])).
% 9.85/7.45 tff(39714,plain,
% 9.85/7.45 (~((~v39(constB105)) | (~v9(constB105)))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39713, 39706])).
% 9.85/7.45 tff(39715,plain,
% 9.85/7.45 ((~(v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))) | v184(constB105) | ((~v39(constB105)) | (~v9(constB105)))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39716,plain,
% 9.85/7.45 (v184(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39715, 39714, 39666])).
% 9.85/7.45 tff(39717,plain,
% 9.85/7.45 ((v184(constB105) | v26(constB105)) | (~v184(constB105))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39718,plain,
% 9.85/7.45 (v184(constB105) | v26(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39717, 39716])).
% 9.85/7.45 tff(39719,plain,
% 9.85/7.45 ((~(v183(constB105) <=> (v184(constB105) | v26(constB105)))) | v183(constB105) | (~(v184(constB105) | v26(constB105)))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39720,plain,
% 9.85/7.45 (v183(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39719, 39718, 39664])).
% 9.85/7.45 tff(39721,plain,
% 9.85/7.45 ((~((~v182(constB105)) <=> v183(constB105))) | (~v182(constB105)) | (~v183(constB105))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39722,plain,
% 9.85/7.45 (~v182(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39721, 39720, 39662])).
% 9.85/7.45 tff(39723,plain,
% 9.85/7.45 (((~v157(constB105)) | (~v182(constB105))) | v182(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39724,plain,
% 9.85/7.45 ((~v157(constB105)) | (~v182(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39723, 39722])).
% 9.85/7.45 tff(39725,plain,
% 9.85/7.45 ((~(v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105)))))) | (~v181(constB105)) | (~((~v157(constB105)) | (~v182(constB105))))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39726,plain,
% 9.85/7.45 (~v181(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39725, 39724, 39660])).
% 9.85/7.45 tff(39727,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39728,plain,
% 9.85/7.45 (v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105))))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39727, 96])).
% 9.85/7.45 tff(39729,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB105) <=> (~((~v184(constB105)) | (~v159(constB105)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39730,plain,
% 9.85/7.45 (v187(constB105) <=> (~((~v184(constB105)) | (~v159(constB105))))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39729, 108])).
% 9.85/7.45 tff(39731,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB105) <=> v161(constB105))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39732,plain,
% 9.85/7.45 (v159(constB105) <=> v161(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39731, 345])).
% 9.85/7.45 tff(39733,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39734,plain,
% 9.85/7.45 (v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39733, 360])).
% 9.85/7.45 tff(39735,plain,
% 9.85/7.45 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39736,plain,
% 9.85/7.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39737,plain,
% 9.85/7.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39736, 39735])).
% 9.85/7.45 tff(39738,plain,
% 9.85/7.45 (v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39737, 648, 372])).
% 9.85/7.45 tff(39739,plain,
% 9.85/7.45 ((~(v88(constB105, bitIndex2) <=> v90(constB105, bitIndex2))) | v88(constB105, bitIndex2) | (~v90(constB105, bitIndex2))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39740,plain,
% 9.85/7.45 (v88(constB105, bitIndex2)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39739, 18280, 39738])).
% 9.85/7.45 tff(39741,plain,
% 9.85/7.45 ((v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex2))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39742,plain,
% 9.85/7.45 (v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39741, 39740])).
% 9.85/7.45 tff(39743,plain,
% 9.85/7.45 ((~(v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2))))) | (~v139(constB105)) | (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39744,plain,
% 9.85/7.45 (~v139(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39743, 39742, 39734])).
% 9.85/7.45 tff(39745,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))))))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39746,plain,
% 9.85/7.45 ((v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0))))) <=> (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0)))))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39747,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))))))),
% 9.85/7.45 inference(monotonicity,[status(thm)],[39746])).
% 9.85/7.45 tff(39748,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))))))),
% 9.85/7.45 inference(transitivity,[status(thm)],[39747, 39745])).
% 9.85/7.45 tff(39749,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39750,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0)))))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39749, 39748])).
% 9.85/7.45 tff(39751,plain,
% 9.85/7.45 (v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39750, 25795])).
% 9.85/7.45 tff(39752,plain,
% 9.85/7.45 ((v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))) | (~v88(constB105, bitIndex2))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39753,plain,
% 9.85/7.45 (v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39752, 39740])).
% 9.85/7.45 tff(39754,plain,
% 9.85/7.45 ((~(v140(constB105) <=> (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0)))))) | (~v140(constB105)) | (~(v88(constB105, bitIndex2) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex0))))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39755,plain,
% 9.85/7.45 (~v140(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39754, 39753, 39751])).
% 9.85/7.45 tff(39756,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v168(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB105) | v139(constB105) | (~v168(constB105)))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39757,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v168(constB105)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39758,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB105) | v139(constB105) | (~v168(constB105))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39757, 39756])).
% 9.85/7.45 tff(39759,plain,
% 9.85/7.45 (v140(constB105) | v139(constB105) | (~v168(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39758, 25819])).
% 9.85/7.45 tff(39760,plain,
% 9.85/7.45 (~v168(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39759, 39755, 39744])).
% 9.85/7.45 tff(39761,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB105) <=> (v145(constB105) | v165(constB105)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39762,plain,
% 9.85/7.45 (v164(constB105) <=> (v145(constB105) | v165(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39761, 25834])).
% 9.85/7.45 tff(39763,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB105) <=> (v146(constB105) | v147(constB105)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39764,plain,
% 9.85/7.45 (v145(constB105) <=> (v146(constB105) | v147(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39763, 27691])).
% 9.85/7.45 tff(39765,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0)))))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39766,plain,
% 9.85/7.45 ((v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2))))) <=> (v146(constB105) <=> (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0))))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39767,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0)))))),
% 9.85/7.45 inference(monotonicity,[status(thm)],[39766])).
% 9.85/7.45 tff(39768,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0)))))),
% 9.85/7.45 inference(transitivity,[status(thm)],[39767, 39765])).
% 9.85/7.45 tff(39769,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39770,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0))))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39769, 39768])).
% 9.85/7.45 tff(39771,plain,
% 9.85/7.45 (v146(constB105) <=> (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0)))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39770, 27706])).
% 9.85/7.45 tff(39772,plain,
% 9.85/7.45 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39773,plain,
% 9.85/7.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39774,plain,
% 9.85/7.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39773, 39772])).
% 9.85/7.45 tff(39775,plain,
% 9.85/7.45 (v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39774, 9653, 372])).
% 9.85/7.45 tff(39776,plain,
% 9.85/7.45 ((~(v88(constB105, bitIndex0) <=> v90(constB105, bitIndex0))) | (~v88(constB105, bitIndex0)) | v90(constB105, bitIndex0)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39777,plain,
% 9.85/7.45 (~v88(constB105, bitIndex0)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39776, 18311, 39775])).
% 9.85/7.45 tff(39778,plain,
% 9.85/7.45 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39779,plain,
% 9.85/7.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39780,plain,
% 9.85/7.45 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39779, 39778])).
% 9.85/7.45 tff(39781,plain,
% 9.85/7.45 (v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39780, 375, 372])).
% 9.85/7.45 tff(39782,plain,
% 9.85/7.45 ((~(v88(constB105, bitIndex1) <=> v90(constB105, bitIndex1))) | (~v88(constB105, bitIndex1)) | v90(constB105, bitIndex1)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39783,plain,
% 9.85/7.45 (~v88(constB105, bitIndex1)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39782, 18342, 39781])).
% 9.85/7.45 tff(39784,plain,
% 9.85/7.45 ((~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0))) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39785,plain,
% 9.85/7.45 (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39784, 39783, 39777, 39740])).
% 9.85/7.45 tff(39786,plain,
% 9.85/7.45 ((~(v146(constB105) <=> (~((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0))))) | v146(constB105) | ((~v88(constB105, bitIndex2)) | v88(constB105, bitIndex1) | v88(constB105, bitIndex0))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39787,plain,
% 9.85/7.45 (v146(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39786, 39785, 39771])).
% 9.85/7.45 tff(39788,plain,
% 9.85/7.45 ((v146(constB105) | v147(constB105)) | (~v146(constB105))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39789,plain,
% 9.85/7.45 (v146(constB105) | v147(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39788, 39787])).
% 9.85/7.45 tff(39790,plain,
% 9.85/7.45 ((~(v145(constB105) <=> (v146(constB105) | v147(constB105)))) | v145(constB105) | (~(v146(constB105) | v147(constB105)))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39791,plain,
% 9.85/7.45 (v145(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39790, 39789, 39764])).
% 9.85/7.45 tff(39792,plain,
% 9.85/7.45 ((v145(constB105) | v165(constB105)) | (~v145(constB105))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39793,plain,
% 9.85/7.45 (v145(constB105) | v165(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39792, 39791])).
% 9.85/7.45 tff(39794,plain,
% 9.85/7.45 ((~(v164(constB105) <=> (v145(constB105) | v165(constB105)))) | v164(constB105) | (~(v145(constB105) | v165(constB105)))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39795,plain,
% 9.85/7.45 (v164(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39794, 39793, 39762])).
% 9.85/7.45 tff(39796,plain,
% 9.85/7.45 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB105)) | (v161(constB105) <=> v168(constB105)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB105)) | (v161(constB105) <=> v168(constB105)))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39797,plain,
% 9.85/7.45 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB105)) | (v161(constB105) <=> v168(constB105)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39798,plain,
% 9.85/7.45 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB105)) | (v161(constB105) <=> v168(constB105))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39797, 39796])).
% 9.85/7.45 tff(39799,plain,
% 9.85/7.45 ((~v164(constB105)) | (v161(constB105) <=> v168(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39798, 25977])).
% 9.85/7.45 tff(39800,plain,
% 9.85/7.45 (v161(constB105) <=> v168(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39799, 39795])).
% 9.85/7.45 tff(39801,plain,
% 9.85/7.45 ((~(v161(constB105) <=> v168(constB105))) | (~v161(constB105)) | v168(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39802,plain,
% 9.85/7.45 (~v161(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39801, 39800, 39760])).
% 9.85/7.45 tff(39803,plain,
% 9.85/7.45 ((~(v159(constB105) <=> v161(constB105))) | (~v159(constB105)) | v161(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39804,plain,
% 9.85/7.45 ((~(v159(constB105) <=> v161(constB105))) | (~v159(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39803, 39802])).
% 9.85/7.45 tff(39805,plain,
% 9.85/7.45 (~v159(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39804, 39732])).
% 9.85/7.45 tff(39806,plain,
% 9.85/7.45 (((~v184(constB105)) | (~v159(constB105))) | v159(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39807,plain,
% 9.85/7.45 ((~v184(constB105)) | (~v159(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39806, 39805])).
% 9.85/7.45 tff(39808,plain,
% 9.85/7.45 ((~(v187(constB105) <=> (~((~v184(constB105)) | (~v159(constB105)))))) | (~v187(constB105)) | (~((~v184(constB105)) | (~v159(constB105))))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39809,plain,
% 9.85/7.45 (~v187(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39808, 39807, 39730])).
% 9.85/7.45 tff(39810,plain,
% 9.85/7.45 (((~v186(constB105)) | (~v187(constB105))) | v187(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39811,plain,
% 9.85/7.45 ((~v186(constB105)) | (~v187(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39810, 39809])).
% 9.85/7.45 tff(39812,plain,
% 9.85/7.45 ((~(v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105)))))) | (~v185(constB105)) | (~((~v186(constB105)) | (~v187(constB105))))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39813,plain,
% 9.85/7.45 (~v185(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39812, 39811, 39728])).
% 9.85/7.45 tff(39814,plain,
% 9.85/7.45 ((~(v181(constB105) | v185(constB105))) | v181(constB105) | v185(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39815,plain,
% 9.85/7.45 (~(v181(constB105) | v185(constB105))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39814, 39813, 39726])).
% 9.85/7.45 tff(39816,plain,
% 9.85/7.45 ((~(v178(constB105) <=> (v181(constB105) | v185(constB105)))) | (~v178(constB105)) | (v181(constB105) | v185(constB105))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39817,plain,
% 9.85/7.45 (~v178(constB105)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39816, 39815, 39653])).
% 9.85/7.45 tff(39818,plain,
% 9.85/7.45 ((~(v180(constB106) <=> v178(constB105))) | (~v180(constB106)) | v178(constB105)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39819,plain,
% 9.85/7.45 (~v180(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39818, 39817, 39651])).
% 9.85/7.45 tff(39820,plain,
% 9.85/7.45 ((~(v157(constB106) <=> v180(constB106))) | (~v157(constB106)) | v180(constB106)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39821,plain,
% 9.85/7.45 (~v157(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39820, 39819, 39647])).
% 9.85/7.45 tff(39822,plain,
% 9.85/7.45 (((~v157(constB106)) | (~v182(constB106))) | v157(constB106)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39823,plain,
% 9.85/7.45 ((~v157(constB106)) | (~v182(constB106))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39822, 39821])).
% 9.85/7.45 tff(39824,plain,
% 9.85/7.45 ((~(v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106)))))) | (~v181(constB106)) | (~((~v157(constB106)) | (~v182(constB106))))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39825,plain,
% 9.85/7.45 (~v181(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39824, 39823, 39645])).
% 9.85/7.45 tff(39826,plain,
% 9.85/7.45 ((~(v181(constB106) | v185(constB106))) | v181(constB106) | v185(constB106)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39827,plain,
% 9.85/7.45 (~(v181(constB106) | v185(constB106))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39826, 39825, 39638])).
% 9.85/7.45 tff(39828,plain,
% 9.85/7.45 ((~(v178(constB106) <=> (v181(constB106) | v185(constB106)))) | (~v178(constB106)) | (v181(constB106) | v185(constB106))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39829,plain,
% 9.85/7.45 (~v178(constB106)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39828, 39827, 39613])).
% 9.85/7.45 tff(39830,plain,
% 9.85/7.45 ((~(v180(constB107) <=> v178(constB106))) | (~v180(constB107)) | v178(constB106)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39831,plain,
% 9.85/7.45 (~v180(constB107)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39830, 39829, 39611])).
% 9.85/7.45 tff(39832,plain,
% 9.85/7.45 ($false),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39831, 39607])).
% 9.85/7.45 tff(39833,plain,(~(constB107 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.85/7.45 tff(39834,assumption,(constB95 = VarCurr!0), introduced(assumption)).
% 9.85/7.45 tff(39835,plain,
% 9.85/7.45 (v180(constB95) <=> v180(VarCurr!0)),
% 9.85/7.45 inference(monotonicity,[status(thm)],[39834])).
% 9.85/7.45 tff(39836,plain,
% 9.85/7.45 (v180(VarCurr!0) <=> v180(constB95)),
% 9.85/7.45 inference(symmetry,[status(thm)],[39835])).
% 9.85/7.45 tff(39837,plain,
% 9.85/7.45 (v180(constB95)),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[59, 39836])).
% 9.85/7.45 tff(39838,plain,
% 9.85/7.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB94, constB95)) | (v180(constB95) <=> v178(constB94)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB94, constB95)) | (v180(constB95) <=> v178(constB94)))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39839,plain,
% 9.85/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB94, constB95)) | (v180(constB95) <=> v178(constB94)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39840,plain,
% 9.85/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB94, constB95)) | (v180(constB95) <=> v178(constB94))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39839, 39838])).
% 9.85/7.45 tff(39841,plain,
% 9.85/7.45 (v180(constB95) <=> v178(constB94)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39840, 5280, 70])).
% 9.85/7.45 tff(39842,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB94) <=> (v181(constB94) | v185(constB94)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39843,plain,
% 9.85/7.45 (v178(constB94) <=> (v181(constB94) | v185(constB94))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39842, 84])).
% 9.85/7.45 tff(39844,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB94) <=> (~((~v186(constB94)) | (~v187(constB94)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39845,plain,
% 9.85/7.45 (v185(constB94) <=> (~((~v186(constB94)) | (~v187(constB94))))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39844, 96])).
% 9.85/7.45 tff(39846,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB94) <=> (~((~v184(constB94)) | (~v159(constB94)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39847,plain,
% 9.85/7.45 (v187(constB94) <=> (~((~v184(constB94)) | (~v159(constB94))))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39846, 108])).
% 9.85/7.45 tff(39848,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39849,plain,
% 9.85/7.45 (v184(constB94) <=> (~((~v39(constB94)) | (~v9(constB94))))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39848, 120])).
% 9.85/7.45 tff(39850,plain,
% 9.85/7.45 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB94)) <=> v1(constB94))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39851,plain,
% 9.85/7.45 ((~v39(constB94)) <=> v1(constB94)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39850, 129])).
% 9.85/7.45 tff(39852,plain,
% 9.85/7.45 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94)) | (~v1(constB94))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39853,plain,
% 9.85/7.45 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39852, 5342])).
% 9.85/7.45 tff(39854,plain,
% 9.85/7.45 (~v39(constB94)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39853, 39851])).
% 9.85/7.45 tff(39855,plain,
% 9.85/7.45 (((~v39(constB94)) | (~v9(constB94))) | v39(constB94)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39856,plain,
% 9.85/7.45 ((~v39(constB94)) | (~v9(constB94))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39855, 39854])).
% 9.85/7.45 tff(39857,plain,
% 9.85/7.45 ((~(v184(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v184(constB94)) | (~((~v39(constB94)) | (~v9(constB94))))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39858,plain,
% 9.85/7.45 ((~(v184(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v184(constB94))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39857, 39856])).
% 9.85/7.45 tff(39859,plain,
% 9.85/7.45 (~v184(constB94)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39858, 39849])).
% 9.85/7.45 tff(39860,plain,
% 9.85/7.45 (((~v184(constB94)) | (~v159(constB94))) | v184(constB94)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39861,plain,
% 9.85/7.45 ((~v184(constB94)) | (~v159(constB94))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39860, 39859])).
% 9.85/7.45 tff(39862,plain,
% 9.85/7.45 ((~(v187(constB94) <=> (~((~v184(constB94)) | (~v159(constB94)))))) | (~v187(constB94)) | (~((~v184(constB94)) | (~v159(constB94))))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39863,plain,
% 9.85/7.45 ((~(v187(constB94) <=> (~((~v184(constB94)) | (~v159(constB94)))))) | (~v187(constB94))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39862, 39861])).
% 9.85/7.45 tff(39864,plain,
% 9.85/7.45 (~v187(constB94)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39863, 39847])).
% 9.85/7.45 tff(39865,plain,
% 9.85/7.45 (((~v186(constB94)) | (~v187(constB94))) | v187(constB94)),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39866,plain,
% 9.85/7.45 ((~v186(constB94)) | (~v187(constB94))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39865, 39864])).
% 9.85/7.45 tff(39867,plain,
% 9.85/7.45 ((~(v185(constB94) <=> (~((~v186(constB94)) | (~v187(constB94)))))) | (~v185(constB94)) | (~((~v186(constB94)) | (~v187(constB94))))),
% 9.85/7.45 inference(tautology,[status(thm)],[])).
% 9.85/7.45 tff(39868,plain,
% 9.85/7.45 (~v185(constB94)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39867, 39866, 39845])).
% 9.85/7.45 tff(39869,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94))))))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39870,plain,
% 9.85/7.45 ((v181(constB94) <=> (~((~v182(constB94)) | (~v157(constB94))))) <=> (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94)))))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39871,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v182(constB94)) | (~v157(constB94)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94))))))),
% 9.85/7.45 inference(monotonicity,[status(thm)],[39870])).
% 9.85/7.45 tff(39872,plain,
% 9.85/7.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v182(constB94)) | (~v157(constB94)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94))))))),
% 9.85/7.45 inference(transitivity,[status(thm)],[39871, 39869])).
% 9.85/7.45 tff(39873,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v182(constB94)) | (~v157(constB94)))))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39874,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94)))))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39873, 39872])).
% 9.85/7.45 tff(39875,plain,
% 9.85/7.45 (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94))))),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39874, 161])).
% 9.85/7.45 tff(39876,plain,
% 9.85/7.45 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB94) <=> v180(constB94))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39877,plain,
% 9.85/7.45 (v157(constB94) <=> v180(constB94)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39876, 13])).
% 9.85/7.45 tff(39878,plain,
% 9.85/7.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB93, constB94)) | (v180(constB94) <=> v178(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB93, constB94)) | (v180(constB94) <=> v178(constB93)))),
% 9.85/7.45 inference(rewrite,[status(thm)],[])).
% 9.85/7.45 tff(39879,plain,
% 9.85/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB93, constB94)) | (v180(constB94) <=> v178(constB93)))),
% 9.85/7.45 inference(quant_inst,[status(thm)],[])).
% 9.85/7.45 tff(39880,plain,
% 9.85/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB93, constB94)) | (v180(constB94) <=> v178(constB93))),
% 9.85/7.45 inference(modus_ponens,[status(thm)],[39879, 39878])).
% 9.85/7.45 tff(39881,plain,
% 9.85/7.45 (v180(constB94) <=> v178(constB93)),
% 9.85/7.45 inference(unit_resolution,[status(thm)],[39880, 5312, 70])).
% 9.85/7.45 tff(39882,plain,
% 9.85/7.45 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB93) <=> (v181(constB93) | v185(constB93)))),
% 9.85/7.46 inference(quant_inst,[status(thm)],[])).
% 9.85/7.46 tff(39883,plain,
% 9.85/7.46 (v178(constB93) <=> (v181(constB93) | v185(constB93))),
% 9.85/7.46 inference(unit_resolution,[status(thm)],[39882, 84])).
% 9.85/7.46 tff(39884,plain,
% 9.85/7.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93))))))),
% 9.85/7.46 inference(rewrite,[status(thm)],[])).
% 9.85/7.46 tff(39885,plain,
% 9.85/7.46 ((v181(constB93) <=> (~((~v182(constB93)) | (~v157(constB93))))) <=> (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93)))))),
% 9.85/7.46 inference(rewrite,[status(thm)],[])).
% 9.85/7.46 tff(39886,plain,
% 9.85/7.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v182(constB93)) | (~v157(constB93)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93))))))),
% 9.85/7.46 inference(monotonicity,[status(thm)],[39885])).
% 9.85/7.46 tff(39887,plain,
% 9.85/7.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v182(constB93)) | (~v157(constB93)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93))))))),
% 9.85/7.46 inference(transitivity,[status(thm)],[39886, 39884])).
% 9.85/7.46 tff(39888,plain,
% 9.85/7.46 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v182(constB93)) | (~v157(constB93)))))),
% 9.85/7.46 inference(quant_inst,[status(thm)],[])).
% 9.85/7.46 tff(39889,plain,
% 9.85/7.46 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93)))))),
% 9.85/7.46 inference(modus_ponens,[status(thm)],[39888, 39887])).
% 9.85/7.46 tff(39890,plain,
% 9.85/7.46 (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93))))),
% 9.85/7.46 inference(unit_resolution,[status(thm)],[39889, 161])).
% 9.85/7.46 tff(39891,plain,
% 9.85/7.46 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB93)) <=> v183(constB93))),
% 9.85/7.46 inference(quant_inst,[status(thm)],[])).
% 9.85/7.46 tff(39892,plain,
% 9.85/7.46 ((~v182(constB93)) <=> v183(constB93)),
% 9.85/7.46 inference(unit_resolution,[status(thm)],[39891, 193])).
% 9.85/7.46 tff(39893,plain,
% 9.85/7.46 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB93) <=> (v184(constB93) | v26(constB93)))),
% 9.85/7.46 inference(quant_inst,[status(thm)],[])).
% 9.85/7.46 tff(39894,plain,
% 9.85/7.46 (v183(constB93) <=> (v184(constB93) | v26(constB93))),
% 9.85/7.46 inference(unit_resolution,[status(thm)],[39893, 202])).
% 9.85/7.46 tff(39895,plain,
% 9.85/7.46 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))),
% 9.85/7.46 inference(quant_inst,[status(thm)],[])).
% 9.85/7.46 tff(39896,plain,
% 9.85/7.46 (v184(constB93) <=> (~((~v39(constB93)) | (~v9(constB93))))),
% 9.85/7.46 inference(unit_resolution,[status(thm)],[39895, 120])).
% 9.85/7.46 tff(39897,plain,
% 9.85/7.46 (((~![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)))),
% 9.85/7.46 inference(rewrite,[status(thm)],[])).
% 9.85/7.46 tff(39898,plain,
% 9.85/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))),
% 9.85/7.46 inference(quant_inst,[status(thm)],[])).
% 9.85/7.46 tff(39899,plain,
% 9.85/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93))),
% 9.85/7.46 inference(modus_ponens,[status(thm)],[39898, 39897])).
% 9.85/7.46 tff(39900,plain,
% 9.88/7.46 (v13(constB94) <=> v9(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39899, 5312, 216])).
% 9.88/7.46 tff(39901,plain,
% 9.88/7.46 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB94) <=> v13(constB94))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39902,plain,
% 9.88/7.46 (v6(constB94) <=> v13(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39901, 230])).
% 9.88/7.46 tff(39903,plain,
% 9.88/7.46 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB94)) <=> v6(constB94))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39904,plain,
% 9.88/7.46 ((~v21(constB94)) <=> v6(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39903, 239])).
% 9.88/7.46 tff(39905,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB94) <=> (v20(constB94) | v21(constB94)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39906,plain,
% 9.88/7.46 (v19(constB94) <=> (v20(constB94) | v21(constB94))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39905, 248])).
% 9.88/7.46 tff(39907,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39908,plain,
% 9.88/7.46 (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94))))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39907, 260])).
% 9.88/7.46 tff(39909,plain,
% 9.88/7.46 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB94)) <=> v18(constB94))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39910,plain,
% 9.88/7.46 ((~v4(constB94)) <=> v18(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39909, 269])).
% 9.88/7.46 tff(39911,plain,
% 9.88/7.46 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB94)),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39912,plain,
% 9.88/7.46 (v4(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39911, 278])).
% 9.88/7.46 tff(39913,plain,
% 9.88/7.46 ((~((~v4(constB94)) <=> v18(constB94))) | (~v4(constB94)) | (~v18(constB94))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39914,plain,
% 9.88/7.46 (~v18(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39913, 39912, 39910])).
% 9.88/7.46 tff(39915,plain,
% 9.88/7.46 ((~(v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))) | v18(constB94) | ((~v19(constB94)) | (~v22(constB94)))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39916,plain,
% 9.88/7.46 ((~v19(constB94)) | (~v22(constB94))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39915, 39914, 39908])).
% 9.88/7.46 tff(39917,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB94) <=> (v1(constB94) | v6(constB94)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39918,plain,
% 9.88/7.46 (v22(constB94) <=> (v1(constB94) | v6(constB94))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39917, 291])).
% 9.88/7.46 tff(39919,plain,
% 9.88/7.46 ((v1(constB94) | v6(constB94)) | (~v1(constB94))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39920,plain,
% 9.88/7.46 (v1(constB94) | v6(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39919, 5342])).
% 9.88/7.46 tff(39921,plain,
% 9.88/7.46 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94) | (~(v1(constB94) | v6(constB94)))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39922,plain,
% 9.88/7.46 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39921, 39920])).
% 9.88/7.46 tff(39923,plain,
% 9.88/7.46 (v22(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39922, 39918])).
% 9.88/7.46 tff(39924,plain,
% 9.88/7.46 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94)) | (~v22(constB94))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39925,plain,
% 9.88/7.46 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39924, 39923])).
% 9.88/7.46 tff(39926,plain,
% 9.88/7.46 (~v19(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39925, 39916])).
% 9.88/7.46 tff(39927,plain,
% 9.88/7.46 ((~(v19(constB94) <=> (v20(constB94) | v21(constB94)))) | v19(constB94) | (~(v20(constB94) | v21(constB94)))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39928,plain,
% 9.88/7.46 (~(v20(constB94) | v21(constB94))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39927, 39926, 39906])).
% 9.88/7.46 tff(39929,plain,
% 9.88/7.46 ((v20(constB94) | v21(constB94)) | (~v21(constB94))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39930,plain,
% 9.88/7.46 (~v21(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39929, 39928])).
% 9.88/7.46 tff(39931,plain,
% 9.88/7.46 ((~((~v21(constB94)) <=> v6(constB94))) | v21(constB94) | v6(constB94)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39932,plain,
% 9.88/7.46 (v6(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39931, 39930, 39904])).
% 9.88/7.46 tff(39933,plain,
% 9.88/7.46 ((~(v6(constB94) <=> v13(constB94))) | (~v6(constB94)) | v13(constB94)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39934,plain,
% 9.88/7.46 (v13(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39933, 39932, 39902])).
% 9.88/7.46 tff(39935,plain,
% 9.88/7.46 ((~(v13(constB94) <=> v9(constB93))) | (~v13(constB94)) | v9(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39936,plain,
% 9.88/7.46 (v9(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39935, 39934, 39900])).
% 9.88/7.46 tff(39937,plain,
% 9.88/7.46 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB93)) <=> v1(constB93))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39938,plain,
% 9.88/7.46 ((~v39(constB93)) <=> v1(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39937, 129])).
% 9.88/7.46 tff(39939,plain,
% 9.88/7.46 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93) | v1(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39940,plain,
% 9.88/7.46 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39939, 5334])).
% 9.88/7.46 tff(39941,plain,
% 9.88/7.46 (v39(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39940, 39938])).
% 9.88/7.46 tff(39942,plain,
% 9.88/7.46 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v39(constB93)) | (~v9(constB93))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39943,plain,
% 9.88/7.46 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v9(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39942, 39941])).
% 9.88/7.46 tff(39944,plain,
% 9.88/7.46 (~((~v39(constB93)) | (~v9(constB93)))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39943, 39936])).
% 9.88/7.46 tff(39945,plain,
% 9.88/7.46 ((~(v184(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))) | v184(constB93) | ((~v39(constB93)) | (~v9(constB93)))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39946,plain,
% 9.88/7.46 (v184(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39945, 39944, 39896])).
% 9.88/7.46 tff(39947,plain,
% 9.88/7.46 ((v184(constB93) | v26(constB93)) | (~v184(constB93))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39948,plain,
% 9.88/7.46 (v184(constB93) | v26(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39947, 39946])).
% 9.88/7.46 tff(39949,plain,
% 9.88/7.46 ((~(v183(constB93) <=> (v184(constB93) | v26(constB93)))) | v183(constB93) | (~(v184(constB93) | v26(constB93)))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39950,plain,
% 9.88/7.46 (v183(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39949, 39948, 39894])).
% 9.88/7.46 tff(39951,plain,
% 9.88/7.46 ((~((~v182(constB93)) <=> v183(constB93))) | (~v182(constB93)) | (~v183(constB93))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39952,plain,
% 9.88/7.46 (~v182(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39951, 39950, 39892])).
% 9.88/7.46 tff(39953,plain,
% 9.88/7.46 (((~v157(constB93)) | (~v182(constB93))) | v182(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39954,plain,
% 9.88/7.46 ((~v157(constB93)) | (~v182(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39953, 39952])).
% 9.88/7.46 tff(39955,plain,
% 9.88/7.46 ((~(v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93)))))) | (~v181(constB93)) | (~((~v157(constB93)) | (~v182(constB93))))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39956,plain,
% 9.88/7.46 (~v181(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39955, 39954, 39890])).
% 9.88/7.46 tff(39957,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB93) <=> (~((~v186(constB93)) | (~v187(constB93)))))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39958,plain,
% 9.88/7.46 (v185(constB93) <=> (~((~v186(constB93)) | (~v187(constB93))))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39957, 96])).
% 9.88/7.46 tff(39959,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB93) <=> (~((~v184(constB93)) | (~v159(constB93)))))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39960,plain,
% 9.88/7.46 (v187(constB93) <=> (~((~v184(constB93)) | (~v159(constB93))))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39959, 108])).
% 9.88/7.46 tff(39961,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB93) <=> v161(constB93))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39962,plain,
% 9.88/7.46 (v159(constB93) <=> v161(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39961, 345])).
% 9.88/7.46 tff(39963,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2))))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39964,plain,
% 9.88/7.46 (v139(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2)))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39963, 360])).
% 9.88/7.46 tff(39965,plain,
% 9.88/7.46 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB93, bitIndex2) <=> v90(constB93, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB93, bitIndex2) <=> v90(constB93, bitIndex2)))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(39966,plain,
% 9.88/7.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB93, bitIndex2) <=> v90(constB93, bitIndex2)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39967,plain,
% 9.88/7.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB93, bitIndex2) <=> v90(constB93, bitIndex2))),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[39966, 39965])).
% 9.88/7.46 tff(39968,plain,
% 9.88/7.46 (v88(constB93, bitIndex2) <=> v90(constB93, bitIndex2)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39967, 648, 372])).
% 9.88/7.46 tff(39969,plain,
% 9.88/7.46 ((~(v88(constB93, bitIndex2) <=> v90(constB93, bitIndex2))) | v88(constB93, bitIndex2) | (~v90(constB93, bitIndex2))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39970,plain,
% 9.88/7.46 (v88(constB93, bitIndex2)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39969, 17304, 39968])).
% 9.88/7.46 tff(39971,plain,
% 9.88/7.46 ((v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2)) | (~v88(constB93, bitIndex2))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39972,plain,
% 9.88/7.46 (v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39971, 39970])).
% 9.88/7.46 tff(39973,plain,
% 9.88/7.46 ((~(v139(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2))))) | (~v139(constB93)) | (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2)))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39974,plain,
% 9.88/7.46 (~v139(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39973, 39972, 39964])).
% 9.88/7.46 tff(39975,plain,
% 9.88/7.46 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0))))))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(39976,plain,
% 9.88/7.46 ((v140(constB93) <=> (~(v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0))))) <=> (v140(constB93) <=> (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0)))))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(39977,plain,
% 9.88/7.46 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0))))))),
% 9.88/7.46 inference(monotonicity,[status(thm)],[39976])).
% 9.88/7.46 tff(39978,plain,
% 9.88/7.46 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0))))))),
% 9.88/7.46 inference(transitivity,[status(thm)],[39977, 39975])).
% 9.88/7.46 tff(39979,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0)))))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39980,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0)))))),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[39979, 39978])).
% 9.88/7.46 tff(39981,plain,
% 9.88/7.46 (v140(constB93) <=> (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0))))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39980, 25795])).
% 9.88/7.46 tff(39982,plain,
% 9.88/7.46 ((v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0))) | (~v88(constB93, bitIndex2))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39983,plain,
% 9.88/7.46 (v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39982, 39970])).
% 9.88/7.46 tff(39984,plain,
% 9.88/7.46 ((~(v140(constB93) <=> (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0)))))) | (~v140(constB93)) | (~(v88(constB93, bitIndex2) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex0))))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(39985,plain,
% 9.88/7.46 (~v140(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39984, 39983, 39981])).
% 9.88/7.46 tff(39986,plain,
% 9.88/7.46 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v168(constB93)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB93) | v139(constB93) | (~v168(constB93)))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(39987,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v168(constB93)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39988,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB93) | v139(constB93) | (~v168(constB93))),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[39987, 39986])).
% 9.88/7.46 tff(39989,plain,
% 9.88/7.46 (v140(constB93) | v139(constB93) | (~v168(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39988, 25819])).
% 9.88/7.46 tff(39990,plain,
% 9.88/7.46 (~v168(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39989, 39985, 39974])).
% 9.88/7.46 tff(39991,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB93) <=> (v145(constB93) | v165(constB93)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39992,plain,
% 9.88/7.46 (v164(constB93) <=> (v145(constB93) | v165(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39991, 25834])).
% 9.88/7.46 tff(39993,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB93) <=> (v146(constB93) | v147(constB93)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(39994,plain,
% 9.88/7.46 (v145(constB93) <=> (v146(constB93) | v147(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[39993, 27691])).
% 9.88/7.46 tff(39995,plain,
% 9.88/7.46 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0)))))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(39996,plain,
% 9.88/7.46 ((v146(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2))))) <=> (v146(constB93) <=> (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0))))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(39997,plain,
% 9.88/7.46 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0)))))),
% 9.88/7.46 inference(monotonicity,[status(thm)],[39996])).
% 9.88/7.46 tff(39998,plain,
% 9.88/7.46 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0)))))),
% 9.88/7.46 inference(transitivity,[status(thm)],[39997, 39995])).
% 9.88/7.46 tff(39999,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)))))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(40000,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0))))),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[39999, 39998])).
% 9.88/7.46 tff(40001,plain,
% 9.88/7.46 (v146(constB93) <=> (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0)))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40000, 27706])).
% 9.88/7.46 tff(40002,plain,
% 9.88/7.46 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB93, bitIndex0) <=> v90(constB93, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB93, bitIndex0) <=> v90(constB93, bitIndex0)))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(40003,plain,
% 9.88/7.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB93, bitIndex0) <=> v90(constB93, bitIndex0)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(40004,plain,
% 9.88/7.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB93, bitIndex0) <=> v90(constB93, bitIndex0))),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[40003, 40002])).
% 9.88/7.46 tff(40005,plain,
% 9.88/7.46 (v88(constB93, bitIndex0) <=> v90(constB93, bitIndex0)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40004, 9653, 372])).
% 9.88/7.46 tff(40006,plain,
% 9.88/7.46 ((~(v88(constB93, bitIndex0) <=> v90(constB93, bitIndex0))) | (~v88(constB93, bitIndex0)) | v90(constB93, bitIndex0)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40007,plain,
% 9.88/7.46 (~v88(constB93, bitIndex0)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40006, 17335, 40005])).
% 9.88/7.46 tff(40008,plain,
% 9.88/7.46 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB93, bitIndex1) <=> v90(constB93, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB93, bitIndex1) <=> v90(constB93, bitIndex1)))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(40009,plain,
% 9.88/7.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB93, bitIndex1) <=> v90(constB93, bitIndex1)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(40010,plain,
% 9.88/7.46 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB93, bitIndex1) <=> v90(constB93, bitIndex1))),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[40009, 40008])).
% 9.88/7.46 tff(40011,plain,
% 9.88/7.46 (v88(constB93, bitIndex1) <=> v90(constB93, bitIndex1)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40010, 375, 372])).
% 9.88/7.46 tff(40012,plain,
% 9.88/7.46 ((~(v88(constB93, bitIndex1) <=> v90(constB93, bitIndex1))) | (~v88(constB93, bitIndex1)) | v90(constB93, bitIndex1)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40013,plain,
% 9.88/7.46 (~v88(constB93, bitIndex1)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40012, 17366, 40011])).
% 9.88/7.46 tff(40014,plain,
% 9.88/7.46 ((~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0))) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40015,plain,
% 9.88/7.46 (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40014, 40013, 40007, 39970])).
% 9.88/7.46 tff(40016,plain,
% 9.88/7.46 ((~(v146(constB93) <=> (~((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0))))) | v146(constB93) | ((~v88(constB93, bitIndex2)) | v88(constB93, bitIndex1) | v88(constB93, bitIndex0))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40017,plain,
% 9.88/7.46 (v146(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40016, 40015, 40001])).
% 9.88/7.46 tff(40018,plain,
% 9.88/7.46 ((v146(constB93) | v147(constB93)) | (~v146(constB93))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40019,plain,
% 9.88/7.46 (v146(constB93) | v147(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40018, 40017])).
% 9.88/7.46 tff(40020,plain,
% 9.88/7.46 ((~(v145(constB93) <=> (v146(constB93) | v147(constB93)))) | v145(constB93) | (~(v146(constB93) | v147(constB93)))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40021,plain,
% 9.88/7.46 (v145(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40020, 40019, 39994])).
% 9.88/7.46 tff(40022,plain,
% 9.88/7.46 ((v145(constB93) | v165(constB93)) | (~v145(constB93))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40023,plain,
% 9.88/7.46 (v145(constB93) | v165(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40022, 40021])).
% 9.88/7.46 tff(40024,plain,
% 9.88/7.46 ((~(v164(constB93) <=> (v145(constB93) | v165(constB93)))) | v164(constB93) | (~(v145(constB93) | v165(constB93)))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40025,plain,
% 9.88/7.46 (v164(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40024, 40023, 39992])).
% 9.88/7.46 tff(40026,plain,
% 9.88/7.46 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB93)) | (v161(constB93) <=> v168(constB93)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB93)) | (v161(constB93) <=> v168(constB93)))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(40027,plain,
% 9.88/7.46 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB93)) | (v161(constB93) <=> v168(constB93)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(40028,plain,
% 9.88/7.46 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB93)) | (v161(constB93) <=> v168(constB93))),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[40027, 40026])).
% 9.88/7.46 tff(40029,plain,
% 9.88/7.46 ((~v164(constB93)) | (v161(constB93) <=> v168(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40028, 25977])).
% 9.88/7.46 tff(40030,plain,
% 9.88/7.46 (v161(constB93) <=> v168(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40029, 40025])).
% 9.88/7.46 tff(40031,plain,
% 9.88/7.46 ((~(v161(constB93) <=> v168(constB93))) | (~v161(constB93)) | v168(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40032,plain,
% 9.88/7.46 (~v161(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40031, 40030, 39990])).
% 9.88/7.46 tff(40033,plain,
% 9.88/7.46 ((~(v159(constB93) <=> v161(constB93))) | (~v159(constB93)) | v161(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40034,plain,
% 9.88/7.46 ((~(v159(constB93) <=> v161(constB93))) | (~v159(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40033, 40032])).
% 9.88/7.46 tff(40035,plain,
% 9.88/7.46 (~v159(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40034, 39962])).
% 9.88/7.46 tff(40036,plain,
% 9.88/7.46 (((~v184(constB93)) | (~v159(constB93))) | v159(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40037,plain,
% 9.88/7.46 ((~v184(constB93)) | (~v159(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40036, 40035])).
% 9.88/7.46 tff(40038,plain,
% 9.88/7.46 ((~(v187(constB93) <=> (~((~v184(constB93)) | (~v159(constB93)))))) | (~v187(constB93)) | (~((~v184(constB93)) | (~v159(constB93))))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40039,plain,
% 9.88/7.46 (~v187(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40038, 40037, 39960])).
% 9.88/7.46 tff(40040,plain,
% 9.88/7.46 (((~v186(constB93)) | (~v187(constB93))) | v187(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40041,plain,
% 9.88/7.46 ((~v186(constB93)) | (~v187(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40040, 40039])).
% 9.88/7.46 tff(40042,plain,
% 9.88/7.46 ((~(v185(constB93) <=> (~((~v186(constB93)) | (~v187(constB93)))))) | (~v185(constB93)) | (~((~v186(constB93)) | (~v187(constB93))))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40043,plain,
% 9.88/7.46 (~v185(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40042, 40041, 39958])).
% 9.88/7.46 tff(40044,plain,
% 9.88/7.46 ((~(v181(constB93) | v185(constB93))) | v181(constB93) | v185(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40045,plain,
% 9.88/7.46 (~(v181(constB93) | v185(constB93))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40044, 40043, 39956])).
% 9.88/7.46 tff(40046,plain,
% 9.88/7.46 ((~(v178(constB93) <=> (v181(constB93) | v185(constB93)))) | (~v178(constB93)) | (v181(constB93) | v185(constB93))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40047,plain,
% 9.88/7.46 (~v178(constB93)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40046, 40045, 39883])).
% 9.88/7.46 tff(40048,plain,
% 9.88/7.46 ((~(v180(constB94) <=> v178(constB93))) | (~v180(constB94)) | v178(constB93)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40049,plain,
% 9.88/7.46 (~v180(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40048, 40047, 39881])).
% 9.88/7.46 tff(40050,plain,
% 9.88/7.46 ((~(v157(constB94) <=> v180(constB94))) | (~v157(constB94)) | v180(constB94)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40051,plain,
% 9.88/7.46 (~v157(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40050, 40049, 39877])).
% 9.88/7.46 tff(40052,plain,
% 9.88/7.46 (((~v157(constB94)) | (~v182(constB94))) | v157(constB94)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40053,plain,
% 9.88/7.46 ((~v157(constB94)) | (~v182(constB94))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40052, 40051])).
% 9.88/7.46 tff(40054,plain,
% 9.88/7.46 ((~(v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94)))))) | (~v181(constB94)) | (~((~v157(constB94)) | (~v182(constB94))))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40055,plain,
% 9.88/7.46 (~v181(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40054, 40053, 39875])).
% 9.88/7.46 tff(40056,plain,
% 9.88/7.46 ((~(v181(constB94) | v185(constB94))) | v181(constB94) | v185(constB94)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40057,plain,
% 9.88/7.46 (~(v181(constB94) | v185(constB94))),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40056, 40055, 39868])).
% 9.88/7.46 tff(40058,plain,
% 9.88/7.46 ((~(v178(constB94) <=> (v181(constB94) | v185(constB94)))) | (~v178(constB94)) | (v181(constB94) | v185(constB94))),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40059,plain,
% 9.88/7.46 (~v178(constB94)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40058, 40057, 39843])).
% 9.88/7.46 tff(40060,plain,
% 9.88/7.46 ((~(v180(constB95) <=> v178(constB94))) | (~v180(constB95)) | v178(constB94)),
% 9.88/7.46 inference(tautology,[status(thm)],[])).
% 9.88/7.46 tff(40061,plain,
% 9.88/7.46 (~v180(constB95)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40060, 40059, 39841])).
% 9.88/7.46 tff(40062,plain,
% 9.88/7.46 ($false),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40061, 39837])).
% 9.88/7.46 tff(40063,plain,(~(constB95 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.88/7.46 tff(40064,assumption,(constB75 = VarCurr!0), introduced(assumption)).
% 9.88/7.46 tff(40065,plain,
% 9.88/7.46 (v180(constB75) <=> v180(VarCurr!0)),
% 9.88/7.46 inference(monotonicity,[status(thm)],[40064])).
% 9.88/7.46 tff(40066,plain,
% 9.88/7.46 (v180(VarCurr!0) <=> v180(constB75)),
% 9.88/7.46 inference(symmetry,[status(thm)],[40065])).
% 9.88/7.46 tff(40067,plain,
% 9.88/7.46 (v180(constB75)),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[59, 40066])).
% 9.88/7.46 tff(40068,plain,
% 9.88/7.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74)))),
% 9.88/7.46 inference(rewrite,[status(thm)],[])).
% 9.88/7.46 tff(40069,plain,
% 9.88/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.46 tff(40070,plain,
% 9.88/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74))),
% 9.88/7.46 inference(modus_ponens,[status(thm)],[40069, 40068])).
% 9.88/7.46 tff(40071,plain,
% 9.88/7.46 (v180(constB75) <=> v178(constB74)),
% 9.88/7.46 inference(unit_resolution,[status(thm)],[40070, 6208, 70])).
% 9.88/7.46 tff(40072,plain,
% 9.88/7.46 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB74) <=> (v181(constB74) | v185(constB74)))),
% 9.88/7.46 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40073,plain,
% 9.88/7.47 (v178(constB74) <=> (v181(constB74) | v185(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40072, 84])).
% 9.88/7.47 tff(40074,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40075,plain,
% 9.88/7.47 (v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40074, 96])).
% 9.88/7.47 tff(40076,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB74) <=> (~((~v184(constB74)) | (~v159(constB74)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40077,plain,
% 9.88/7.47 (v187(constB74) <=> (~((~v184(constB74)) | (~v159(constB74))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40076, 108])).
% 9.88/7.47 tff(40078,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40079,plain,
% 9.88/7.47 (v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40078, 120])).
% 9.88/7.47 tff(40080,plain,
% 9.88/7.47 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB74)) <=> v1(constB74))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40081,plain,
% 9.88/7.47 ((~v39(constB74)) <=> v1(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40080, 129])).
% 9.88/7.47 tff(40082,plain,
% 9.88/7.47 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74)) | (~v1(constB74))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40083,plain,
% 9.88/7.47 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40082, 6270])).
% 9.88/7.47 tff(40084,plain,
% 9.88/7.47 (~v39(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40083, 40081])).
% 9.88/7.47 tff(40085,plain,
% 9.88/7.47 (((~v39(constB74)) | (~v9(constB74))) | v39(constB74)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40086,plain,
% 9.88/7.47 ((~v39(constB74)) | (~v9(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40085, 40084])).
% 9.88/7.47 tff(40087,plain,
% 9.88/7.47 ((~(v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v184(constB74)) | (~((~v39(constB74)) | (~v9(constB74))))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40088,plain,
% 9.88/7.47 ((~(v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v184(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40087, 40086])).
% 9.88/7.47 tff(40089,plain,
% 9.88/7.47 (~v184(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40088, 40079])).
% 9.88/7.47 tff(40090,plain,
% 9.88/7.47 (((~v184(constB74)) | (~v159(constB74))) | v184(constB74)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40091,plain,
% 9.88/7.47 ((~v184(constB74)) | (~v159(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40090, 40089])).
% 9.88/7.47 tff(40092,plain,
% 9.88/7.47 ((~(v187(constB74) <=> (~((~v184(constB74)) | (~v159(constB74)))))) | (~v187(constB74)) | (~((~v184(constB74)) | (~v159(constB74))))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40093,plain,
% 9.88/7.47 ((~(v187(constB74) <=> (~((~v184(constB74)) | (~v159(constB74)))))) | (~v187(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40092, 40091])).
% 9.88/7.47 tff(40094,plain,
% 9.88/7.47 (~v187(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40093, 40077])).
% 9.88/7.47 tff(40095,plain,
% 9.88/7.47 (((~v186(constB74)) | (~v187(constB74))) | v187(constB74)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40096,plain,
% 9.88/7.47 ((~v186(constB74)) | (~v187(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40095, 40094])).
% 9.88/7.47 tff(40097,plain,
% 9.88/7.47 ((~(v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74)))))) | (~v185(constB74)) | (~((~v186(constB74)) | (~v187(constB74))))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40098,plain,
% 9.88/7.47 (~v185(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40097, 40096, 40075])).
% 9.88/7.47 tff(40099,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74))))))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40100,plain,
% 9.88/7.47 ((v181(constB74) <=> (~((~v182(constB74)) | (~v157(constB74))))) <=> (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74)))))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40101,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v157(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74))))))),
% 9.88/7.47 inference(monotonicity,[status(thm)],[40100])).
% 9.88/7.47 tff(40102,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v157(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74))))))),
% 9.88/7.47 inference(transitivity,[status(thm)],[40101, 40099])).
% 9.88/7.47 tff(40103,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v157(constB74)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40104,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74)))))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40103, 40102])).
% 9.88/7.47 tff(40105,plain,
% 9.88/7.47 (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40104, 161])).
% 9.88/7.47 tff(40106,plain,
% 9.88/7.47 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB74) <=> v180(constB74))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40107,plain,
% 9.88/7.47 (v157(constB74) <=> v180(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40106, 13])).
% 9.88/7.47 tff(40108,plain,
% 9.88/7.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73)))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40109,plain,
% 9.88/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40110,plain,
% 9.88/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40109, 40108])).
% 9.88/7.47 tff(40111,plain,
% 9.88/7.47 (v180(constB74) <=> v178(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40110, 6240, 70])).
% 9.88/7.47 tff(40112,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB73) <=> (v181(constB73) | v185(constB73)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40113,plain,
% 9.88/7.47 (v178(constB73) <=> (v181(constB73) | v185(constB73))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40112, 84])).
% 9.88/7.47 tff(40114,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73))))))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40115,plain,
% 9.88/7.47 ((v181(constB73) <=> (~((~v182(constB73)) | (~v157(constB73))))) <=> (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73)))))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40116,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v157(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73))))))),
% 9.88/7.47 inference(monotonicity,[status(thm)],[40115])).
% 9.88/7.47 tff(40117,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v157(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73))))))),
% 9.88/7.47 inference(transitivity,[status(thm)],[40116, 40114])).
% 9.88/7.47 tff(40118,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v157(constB73)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40119,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73)))))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40118, 40117])).
% 9.88/7.47 tff(40120,plain,
% 9.88/7.47 (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40119, 161])).
% 9.88/7.47 tff(40121,plain,
% 9.88/7.47 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB73)) <=> v183(constB73))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40122,plain,
% 9.88/7.47 ((~v182(constB73)) <=> v183(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40121, 193])).
% 9.88/7.47 tff(40123,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB73) <=> (v184(constB73) | v26(constB73)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40124,plain,
% 9.88/7.47 (v183(constB73) <=> (v184(constB73) | v26(constB73))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40123, 202])).
% 9.88/7.47 tff(40125,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40126,plain,
% 9.88/7.47 (v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40125, 120])).
% 9.88/7.47 tff(40127,plain,
% 9.88/7.47 (((~![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)))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40128,plain,
% 9.88/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40129,plain,
% 9.88/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40128, 40127])).
% 9.88/7.47 tff(40130,plain,
% 9.88/7.47 (v13(constB74) <=> v9(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40129, 6240, 216])).
% 9.88/7.47 tff(40131,plain,
% 9.88/7.47 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB74) <=> v13(constB74))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40132,plain,
% 9.88/7.47 (v6(constB74) <=> v13(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40131, 230])).
% 9.88/7.47 tff(40133,plain,
% 9.88/7.47 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB74)) <=> v6(constB74))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40134,plain,
% 9.88/7.47 ((~v21(constB74)) <=> v6(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40133, 239])).
% 9.88/7.47 tff(40135,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB74) <=> (v20(constB74) | v21(constB74)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40136,plain,
% 9.88/7.47 (v19(constB74) <=> (v20(constB74) | v21(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40135, 248])).
% 9.88/7.47 tff(40137,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40138,plain,
% 9.88/7.47 (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40137, 260])).
% 9.88/7.47 tff(40139,plain,
% 9.88/7.47 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB74)) <=> v18(constB74))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40140,plain,
% 9.88/7.47 ((~v4(constB74)) <=> v18(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40139, 269])).
% 9.88/7.47 tff(40141,plain,
% 9.88/7.47 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB74)),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40142,plain,
% 9.88/7.47 (v4(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40141, 278])).
% 9.88/7.47 tff(40143,plain,
% 9.88/7.47 ((~((~v4(constB74)) <=> v18(constB74))) | (~v4(constB74)) | (~v18(constB74))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40144,plain,
% 9.88/7.47 (~v18(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40143, 40142, 40140])).
% 9.88/7.47 tff(40145,plain,
% 9.88/7.47 ((~(v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))) | v18(constB74) | ((~v19(constB74)) | (~v22(constB74)))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40146,plain,
% 9.88/7.47 ((~v19(constB74)) | (~v22(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40145, 40144, 40138])).
% 9.88/7.47 tff(40147,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB74) <=> (v1(constB74) | v6(constB74)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40148,plain,
% 9.88/7.47 (v22(constB74) <=> (v1(constB74) | v6(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40147, 291])).
% 9.88/7.47 tff(40149,plain,
% 9.88/7.47 ((v1(constB74) | v6(constB74)) | (~v1(constB74))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40150,plain,
% 9.88/7.47 (v1(constB74) | v6(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40149, 6270])).
% 9.88/7.47 tff(40151,plain,
% 9.88/7.47 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74) | (~(v1(constB74) | v6(constB74)))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40152,plain,
% 9.88/7.47 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40151, 40150])).
% 9.88/7.47 tff(40153,plain,
% 9.88/7.47 (v22(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40152, 40148])).
% 9.88/7.47 tff(40154,plain,
% 9.88/7.47 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74)) | (~v22(constB74))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40155,plain,
% 9.88/7.47 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40154, 40153])).
% 9.88/7.47 tff(40156,plain,
% 9.88/7.47 (~v19(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40155, 40146])).
% 9.88/7.47 tff(40157,plain,
% 9.88/7.47 ((~(v19(constB74) <=> (v20(constB74) | v21(constB74)))) | v19(constB74) | (~(v20(constB74) | v21(constB74)))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40158,plain,
% 9.88/7.47 (~(v20(constB74) | v21(constB74))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40157, 40156, 40136])).
% 9.88/7.47 tff(40159,plain,
% 9.88/7.47 ((v20(constB74) | v21(constB74)) | (~v21(constB74))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40160,plain,
% 9.88/7.47 (~v21(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40159, 40158])).
% 9.88/7.47 tff(40161,plain,
% 9.88/7.47 ((~((~v21(constB74)) <=> v6(constB74))) | v21(constB74) | v6(constB74)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40162,plain,
% 9.88/7.47 (v6(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40161, 40160, 40134])).
% 9.88/7.47 tff(40163,plain,
% 9.88/7.47 ((~(v6(constB74) <=> v13(constB74))) | (~v6(constB74)) | v13(constB74)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40164,plain,
% 9.88/7.47 (v13(constB74)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40163, 40162, 40132])).
% 9.88/7.47 tff(40165,plain,
% 9.88/7.47 ((~(v13(constB74) <=> v9(constB73))) | (~v13(constB74)) | v9(constB73)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40166,plain,
% 9.88/7.47 (v9(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40165, 40164, 40130])).
% 9.88/7.47 tff(40167,plain,
% 9.88/7.47 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB73)) <=> v1(constB73))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40168,plain,
% 9.88/7.47 ((~v39(constB73)) <=> v1(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40167, 129])).
% 9.88/7.47 tff(40169,plain,
% 9.88/7.47 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73) | v1(constB73)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40170,plain,
% 9.88/7.47 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40169, 6262])).
% 9.88/7.47 tff(40171,plain,
% 9.88/7.47 (v39(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40170, 40168])).
% 9.88/7.47 tff(40172,plain,
% 9.88/7.47 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v39(constB73)) | (~v9(constB73))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40173,plain,
% 9.88/7.47 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v9(constB73))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40172, 40171])).
% 9.88/7.47 tff(40174,plain,
% 9.88/7.47 (~((~v39(constB73)) | (~v9(constB73)))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40173, 40166])).
% 9.88/7.47 tff(40175,plain,
% 9.88/7.47 ((~(v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))) | v184(constB73) | ((~v39(constB73)) | (~v9(constB73)))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40176,plain,
% 9.88/7.47 (v184(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40175, 40174, 40126])).
% 9.88/7.47 tff(40177,plain,
% 9.88/7.47 ((v184(constB73) | v26(constB73)) | (~v184(constB73))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40178,plain,
% 9.88/7.47 (v184(constB73) | v26(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40177, 40176])).
% 9.88/7.47 tff(40179,plain,
% 9.88/7.47 ((~(v183(constB73) <=> (v184(constB73) | v26(constB73)))) | v183(constB73) | (~(v184(constB73) | v26(constB73)))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40180,plain,
% 9.88/7.47 (v183(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40179, 40178, 40124])).
% 9.88/7.47 tff(40181,plain,
% 9.88/7.47 ((~((~v182(constB73)) <=> v183(constB73))) | (~v182(constB73)) | (~v183(constB73))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40182,plain,
% 9.88/7.47 (~v182(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40181, 40180, 40122])).
% 9.88/7.47 tff(40183,plain,
% 9.88/7.47 (((~v157(constB73)) | (~v182(constB73))) | v182(constB73)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40184,plain,
% 9.88/7.47 ((~v157(constB73)) | (~v182(constB73))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40183, 40182])).
% 9.88/7.47 tff(40185,plain,
% 9.88/7.47 ((~(v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73)))))) | (~v181(constB73)) | (~((~v157(constB73)) | (~v182(constB73))))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40186,plain,
% 9.88/7.47 (~v181(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40185, 40184, 40120])).
% 9.88/7.47 tff(40187,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40188,plain,
% 9.88/7.47 (v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40187, 96])).
% 9.88/7.47 tff(40189,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB73) <=> (~((~v184(constB73)) | (~v159(constB73)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40190,plain,
% 9.88/7.47 (v187(constB73) <=> (~((~v184(constB73)) | (~v159(constB73))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40189, 108])).
% 9.88/7.47 tff(40191,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB73) <=> v161(constB73))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40192,plain,
% 9.88/7.47 (v159(constB73) <=> v161(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40191, 345])).
% 9.88/7.47 tff(40193,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40194,plain,
% 9.88/7.47 (v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40193, 360])).
% 9.88/7.47 tff(40195,plain,
% 9.88/7.47 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2)))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40196,plain,
% 9.88/7.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40197,plain,
% 9.88/7.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40196, 40195])).
% 9.88/7.47 tff(40198,plain,
% 9.88/7.47 (v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40197, 648, 372])).
% 9.88/7.47 tff(40199,plain,
% 9.88/7.47 ((~(v88(constB73, bitIndex2) <=> v90(constB73, bitIndex2))) | v88(constB73, bitIndex2) | (~v90(constB73, bitIndex2))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40200,plain,
% 9.88/7.47 (v88(constB73, bitIndex2)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40199, 15648, 40198])).
% 9.88/7.47 tff(40201,plain,
% 9.88/7.47 ((v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex2))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40202,plain,
% 9.88/7.47 (v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40201, 40200])).
% 9.88/7.47 tff(40203,plain,
% 9.88/7.47 ((~(v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2))))) | (~v139(constB73)) | (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40204,plain,
% 9.88/7.47 (~v139(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40203, 40202, 40194])).
% 9.88/7.47 tff(40205,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))))))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40206,plain,
% 9.88/7.47 ((v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0))))) <=> (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0)))))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40207,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))))))),
% 9.88/7.47 inference(monotonicity,[status(thm)],[40206])).
% 9.88/7.47 tff(40208,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))))))),
% 9.88/7.47 inference(transitivity,[status(thm)],[40207, 40205])).
% 9.88/7.47 tff(40209,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40210,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0)))))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40209, 40208])).
% 9.88/7.47 tff(40211,plain,
% 9.88/7.47 (v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40210, 25795])).
% 9.88/7.47 tff(40212,plain,
% 9.88/7.47 ((v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))) | (~v88(constB73, bitIndex2))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40213,plain,
% 9.88/7.47 (v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40212, 40200])).
% 9.88/7.47 tff(40214,plain,
% 9.88/7.47 ((~(v140(constB73) <=> (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0)))))) | (~v140(constB73)) | (~(v88(constB73, bitIndex2) | v88(constB73, bitIndex1) | (~v88(constB73, bitIndex0))))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40215,plain,
% 9.88/7.47 (~v140(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40214, 40213, 40211])).
% 9.88/7.47 tff(40216,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v168(constB73)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB73) | v139(constB73) | (~v168(constB73)))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40217,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v168(constB73)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40218,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB73) | v139(constB73) | (~v168(constB73))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40217, 40216])).
% 9.88/7.47 tff(40219,plain,
% 9.88/7.47 (v140(constB73) | v139(constB73) | (~v168(constB73))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40218, 25819])).
% 9.88/7.47 tff(40220,plain,
% 9.88/7.47 (~v168(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40219, 40215, 40204])).
% 9.88/7.47 tff(40221,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB73) <=> (v145(constB73) | v165(constB73)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40222,plain,
% 9.88/7.47 (v164(constB73) <=> (v145(constB73) | v165(constB73))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40221, 25834])).
% 9.88/7.47 tff(40223,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB73) <=> (v142(constB73) | v166(constB73)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40224,plain,
% 9.88/7.47 (v165(constB73) <=> (v142(constB73) | v166(constB73))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40223, 25846])).
% 9.88/7.47 tff(40225,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB73) <=> (v143(constB73) | v144(constB73)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40226,plain,
% 9.88/7.47 (v142(constB73) <=> (v143(constB73) | v144(constB73))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40225, 25855])).
% 9.88/7.47 tff(40227,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0)))))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40228,plain,
% 9.88/7.47 ((v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2))))) <=> (v144(constB73) <=> (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0))))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40229,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0)))))),
% 9.88/7.47 inference(monotonicity,[status(thm)],[40228])).
% 9.88/7.47 tff(40230,plain,
% 9.88/7.47 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0)))))),
% 9.88/7.47 inference(transitivity,[status(thm)],[40229, 40227])).
% 9.88/7.47 tff(40231,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)))))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40232,plain,
% 9.88/7.47 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0))))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40231, 40230])).
% 9.88/7.47 tff(40233,plain,
% 9.88/7.47 (v144(constB73) <=> (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0)))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40232, 26095])).
% 9.88/7.47 tff(40234,plain,
% 9.88/7.47 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0)))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40235,plain,
% 9.88/7.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40236,plain,
% 9.88/7.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40235, 40234])).
% 9.88/7.47 tff(40237,plain,
% 9.88/7.47 (v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40236, 9653, 372])).
% 9.88/7.47 tff(40238,plain,
% 9.88/7.47 ((~(v88(constB73, bitIndex0) <=> v90(constB73, bitIndex0))) | (~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40239,plain,
% 9.88/7.47 (~v88(constB73, bitIndex0)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40238, 15679, 40237])).
% 9.88/7.47 tff(40240,plain,
% 9.88/7.47 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1)))),
% 9.88/7.47 inference(rewrite,[status(thm)],[])).
% 9.88/7.47 tff(40241,plain,
% 9.88/7.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1)))),
% 9.88/7.47 inference(quant_inst,[status(thm)],[])).
% 9.88/7.47 tff(40242,plain,
% 9.88/7.47 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1))),
% 9.88/7.47 inference(modus_ponens,[status(thm)],[40241, 40240])).
% 9.88/7.47 tff(40243,plain,
% 9.88/7.47 (v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40242, 375, 372])).
% 9.88/7.47 tff(40244,plain,
% 9.88/7.47 ((~(v88(constB73, bitIndex1) <=> v90(constB73, bitIndex1))) | v88(constB73, bitIndex1) | (~v90(constB73, bitIndex1))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40245,plain,
% 9.88/7.47 (v88(constB73, bitIndex1)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40244, 15710, 40243])).
% 9.88/7.47 tff(40246,plain,
% 9.88/7.47 ((~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0))) | (~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0)),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40247,plain,
% 9.88/7.47 (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0))),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40246, 40245, 40239, 40200])).
% 9.88/7.47 tff(40248,plain,
% 9.88/7.47 ((~(v144(constB73) <=> (~((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0))))) | v144(constB73) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40249,plain,
% 9.88/7.47 (v144(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40248, 40247, 40233])).
% 9.88/7.47 tff(40250,plain,
% 9.88/7.47 ((v143(constB73) | v144(constB73)) | (~v144(constB73))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40251,plain,
% 9.88/7.47 (v143(constB73) | v144(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40250, 40249])).
% 9.88/7.47 tff(40252,plain,
% 9.88/7.47 ((~(v142(constB73) <=> (v143(constB73) | v144(constB73)))) | v142(constB73) | (~(v143(constB73) | v144(constB73)))),
% 9.88/7.47 inference(tautology,[status(thm)],[])).
% 9.88/7.47 tff(40253,plain,
% 9.88/7.47 (v142(constB73)),
% 9.88/7.47 inference(unit_resolution,[status(thm)],[40252, 40251, 40226])).
% 9.88/7.48 tff(40254,plain,
% 9.88/7.48 ((v142(constB73) | v166(constB73)) | (~v142(constB73))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40255,plain,
% 9.88/7.48 (v142(constB73) | v166(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40254, 40253])).
% 9.88/7.48 tff(40256,plain,
% 9.88/7.48 ((~(v165(constB73) <=> (v142(constB73) | v166(constB73)))) | v165(constB73) | (~(v142(constB73) | v166(constB73)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40257,plain,
% 9.88/7.48 (v165(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40256, 40255, 40224])).
% 9.88/7.48 tff(40258,plain,
% 9.88/7.48 ((v145(constB73) | v165(constB73)) | (~v165(constB73))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40259,plain,
% 9.88/7.48 (v145(constB73) | v165(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40258, 40257])).
% 9.88/7.48 tff(40260,plain,
% 9.88/7.48 ((~(v164(constB73) <=> (v145(constB73) | v165(constB73)))) | v164(constB73) | (~(v145(constB73) | v165(constB73)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40261,plain,
% 9.88/7.48 (v164(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40260, 40259, 40222])).
% 9.88/7.48 tff(40262,plain,
% 9.88/7.48 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB73)) | (v161(constB73) <=> v168(constB73)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB73)) | (v161(constB73) <=> v168(constB73)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40263,plain,
% 9.88/7.48 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB73)) | (v161(constB73) <=> v168(constB73)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40264,plain,
% 9.88/7.48 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB73)) | (v161(constB73) <=> v168(constB73))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40263, 40262])).
% 9.88/7.48 tff(40265,plain,
% 9.88/7.48 ((~v164(constB73)) | (v161(constB73) <=> v168(constB73))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40264, 25977])).
% 9.88/7.48 tff(40266,plain,
% 9.88/7.48 (v161(constB73) <=> v168(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40265, 40261])).
% 9.88/7.48 tff(40267,plain,
% 9.88/7.48 ((~(v161(constB73) <=> v168(constB73))) | (~v161(constB73)) | v168(constB73)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40268,plain,
% 9.88/7.48 (~v161(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40267, 40266, 40220])).
% 9.88/7.48 tff(40269,plain,
% 9.88/7.48 ((~(v159(constB73) <=> v161(constB73))) | (~v159(constB73)) | v161(constB73)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40270,plain,
% 9.88/7.48 ((~(v159(constB73) <=> v161(constB73))) | (~v159(constB73))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40269, 40268])).
% 9.88/7.48 tff(40271,plain,
% 9.88/7.48 (~v159(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40270, 40192])).
% 9.88/7.48 tff(40272,plain,
% 9.88/7.48 (((~v184(constB73)) | (~v159(constB73))) | v159(constB73)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40273,plain,
% 9.88/7.48 ((~v184(constB73)) | (~v159(constB73))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40272, 40271])).
% 9.88/7.48 tff(40274,plain,
% 9.88/7.48 ((~(v187(constB73) <=> (~((~v184(constB73)) | (~v159(constB73)))))) | (~v187(constB73)) | (~((~v184(constB73)) | (~v159(constB73))))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40275,plain,
% 9.88/7.48 (~v187(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40274, 40273, 40190])).
% 9.88/7.48 tff(40276,plain,
% 9.88/7.48 (((~v186(constB73)) | (~v187(constB73))) | v187(constB73)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40277,plain,
% 9.88/7.48 ((~v186(constB73)) | (~v187(constB73))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40276, 40275])).
% 9.88/7.48 tff(40278,plain,
% 9.88/7.48 ((~(v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73)))))) | (~v185(constB73)) | (~((~v186(constB73)) | (~v187(constB73))))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40279,plain,
% 9.88/7.48 (~v185(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40278, 40277, 40188])).
% 9.88/7.48 tff(40280,plain,
% 9.88/7.48 ((~(v181(constB73) | v185(constB73))) | v181(constB73) | v185(constB73)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40281,plain,
% 9.88/7.48 (~(v181(constB73) | v185(constB73))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40280, 40279, 40186])).
% 9.88/7.48 tff(40282,plain,
% 9.88/7.48 ((~(v178(constB73) <=> (v181(constB73) | v185(constB73)))) | (~v178(constB73)) | (v181(constB73) | v185(constB73))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40283,plain,
% 9.88/7.48 (~v178(constB73)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40282, 40281, 40113])).
% 9.88/7.48 tff(40284,plain,
% 9.88/7.48 ((~(v180(constB74) <=> v178(constB73))) | (~v180(constB74)) | v178(constB73)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40285,plain,
% 9.88/7.48 (~v180(constB74)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40284, 40283, 40111])).
% 9.88/7.48 tff(40286,plain,
% 9.88/7.48 ((~(v157(constB74) <=> v180(constB74))) | (~v157(constB74)) | v180(constB74)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40287,plain,
% 9.88/7.48 (~v157(constB74)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40286, 40285, 40107])).
% 9.88/7.48 tff(40288,plain,
% 9.88/7.48 (((~v157(constB74)) | (~v182(constB74))) | v157(constB74)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40289,plain,
% 9.88/7.48 ((~v157(constB74)) | (~v182(constB74))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40288, 40287])).
% 9.88/7.48 tff(40290,plain,
% 9.88/7.48 ((~(v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74)))))) | (~v181(constB74)) | (~((~v157(constB74)) | (~v182(constB74))))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40291,plain,
% 9.88/7.48 (~v181(constB74)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40290, 40289, 40105])).
% 9.88/7.48 tff(40292,plain,
% 9.88/7.48 ((~(v181(constB74) | v185(constB74))) | v181(constB74) | v185(constB74)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40293,plain,
% 9.88/7.48 (~(v181(constB74) | v185(constB74))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40292, 40291, 40098])).
% 9.88/7.48 tff(40294,plain,
% 9.88/7.48 ((~(v178(constB74) <=> (v181(constB74) | v185(constB74)))) | (~v178(constB74)) | (v181(constB74) | v185(constB74))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40295,plain,
% 9.88/7.48 (~v178(constB74)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40294, 40293, 40073])).
% 9.88/7.48 tff(40296,plain,
% 9.88/7.48 ((~(v180(constB75) <=> v178(constB74))) | (~v180(constB75)) | v178(constB74)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40297,plain,
% 9.88/7.48 (~v180(constB75)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40296, 40295, 40071])).
% 9.88/7.48 tff(40298,plain,
% 9.88/7.48 ($false),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40297, 40067])).
% 9.88/7.48 tff(40299,plain,(~(constB75 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.88/7.48 tff(40300,assumption,(constB53 = VarCurr!0), introduced(assumption)).
% 9.88/7.48 tff(40301,plain,
% 9.88/7.48 (v86(constB53) <=> v86(VarCurr!0)),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40300])).
% 9.88/7.48 tff(40302,plain,
% 9.88/7.48 (v86(VarCurr!0) <=> v86(constB53)),
% 9.88/7.48 inference(symmetry,[status(thm)],[40301])).
% 9.88/7.48 tff(40303,plain,
% 9.88/7.48 ((~v86(VarCurr!0)) <=> (~v86(constB53))),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40302])).
% 9.88/7.48 tff(40304,plain,
% 9.88/7.48 (~v86(constB53)),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[26079, 40303])).
% 9.88/7.48 tff(40305,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB53) | (~v142(constB53)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40306,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB53) | (~v142(constB53)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40307,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB53) | (~v142(constB53))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40306, 40305])).
% 9.88/7.48 tff(40308,plain,
% 9.88/7.48 (v148(constB53) | (~v142(constB53))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40307, 26138])).
% 9.88/7.48 tff(40309,plain,
% 9.88/7.48 (v148(constB53)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40308, 26770])).
% 9.88/7.48 tff(40310,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB53) <=> (v136(constB53) | v145(constB53)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40311,plain,
% 9.88/7.48 (v135(constB53) <=> (v136(constB53) | v145(constB53))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40310, 26150])).
% 9.88/7.48 tff(40312,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB53) <=> (v137(constB53) | v142(constB53)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40313,plain,
% 9.88/7.48 (v136(constB53) <=> (v137(constB53) | v142(constB53))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40312, 26159])).
% 9.88/7.48 tff(40314,plain,
% 9.88/7.48 ((v137(constB53) | v142(constB53)) | (~v142(constB53))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40315,plain,
% 9.88/7.48 (v137(constB53) | v142(constB53)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40314, 26770])).
% 9.88/7.48 tff(40316,plain,
% 9.88/7.48 ((~(v136(constB53) <=> (v137(constB53) | v142(constB53)))) | v136(constB53) | (~(v137(constB53) | v142(constB53)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40317,plain,
% 9.88/7.48 (v136(constB53)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40316, 40315, 40313])).
% 9.88/7.48 tff(40318,plain,
% 9.88/7.48 ((v136(constB53) | v145(constB53)) | (~v136(constB53))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40319,plain,
% 9.88/7.48 (v136(constB53) | v145(constB53)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40318, 40317])).
% 9.88/7.48 tff(40320,plain,
% 9.88/7.48 ((~(v135(constB53) <=> (v136(constB53) | v145(constB53)))) | v135(constB53) | (~(v136(constB53) | v145(constB53)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40321,plain,
% 9.88/7.48 (v135(constB53)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40320, 40319, 40311])).
% 9.88/7.48 tff(40322,plain,
% 9.88/7.48 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB53)) | (v86(constB53) <=> v148(constB53)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB53)) | (v86(constB53) <=> v148(constB53)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40323,plain,
% 9.88/7.48 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB53)) | (v86(constB53) <=> v148(constB53)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40324,plain,
% 9.88/7.48 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB53)) | (v86(constB53) <=> v148(constB53))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40323, 40322])).
% 9.88/7.48 tff(40325,plain,
% 9.88/7.48 ((~v135(constB53)) | (v86(constB53) <=> v148(constB53))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40324, 26179])).
% 9.88/7.48 tff(40326,plain,
% 9.88/7.48 (v86(constB53) <=> v148(constB53)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40325, 40321])).
% 9.88/7.48 tff(40327,plain,
% 9.88/7.48 ((~(v86(constB53) <=> v148(constB53))) | v86(constB53) | (~v148(constB53))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40328,plain,
% 9.88/7.48 (v86(constB53)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40327, 40326, 40309])).
% 9.88/7.48 tff(40329,plain,
% 9.88/7.48 ($false),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40328, 40304])).
% 9.88/7.48 tff(40330,plain,(~(constB53 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.88/7.48 tff(40331,assumption,(constB133 = VarCurr!0), introduced(assumption)).
% 9.88/7.48 tff(40332,plain,
% 9.88/7.48 (v86(constB133) <=> v86(VarCurr!0)),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40331])).
% 9.88/7.48 tff(40333,plain,
% 9.88/7.48 (v86(VarCurr!0) <=> v86(constB133)),
% 9.88/7.48 inference(symmetry,[status(thm)],[40332])).
% 9.88/7.48 tff(40334,plain,
% 9.88/7.48 ((~v86(VarCurr!0)) <=> (~v86(constB133))),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40333])).
% 9.88/7.48 tff(40335,plain,
% 9.88/7.48 (~v86(constB133)),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[26079, 40334])).
% 9.88/7.48 tff(40336,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB133) <=> (v143(constB133) | v144(constB133)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40337,plain,
% 9.88/7.48 (v142(constB133) <=> (v143(constB133) | v144(constB133))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40336, 25855])).
% 9.88/7.48 tff(40338,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0)))))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40339,plain,
% 9.88/7.48 ((v144(constB133) <=> (~(v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2))))) <=> (v144(constB133) <=> (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40340,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~(v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0)))))),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40339])).
% 9.88/7.48 tff(40341,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~(v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0)))))),
% 9.88/7.48 inference(transitivity,[status(thm)],[40340, 40338])).
% 9.88/7.48 tff(40342,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~(v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)))))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40343,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40342, 40341])).
% 9.88/7.48 tff(40344,plain,
% 9.88/7.48 (v144(constB133) <=> (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0)))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40343, 26095])).
% 9.88/7.48 tff(40345,plain,
% 9.88/7.48 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB133, bitIndex2) <=> v90(constB133, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB133, bitIndex2) <=> v90(constB133, bitIndex2)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40346,plain,
% 9.88/7.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB133, bitIndex2) <=> v90(constB133, bitIndex2)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40347,plain,
% 9.88/7.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB133, bitIndex2) <=> v90(constB133, bitIndex2))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40346, 40345])).
% 9.88/7.48 tff(40348,plain,
% 9.88/7.48 (v88(constB133, bitIndex2) <=> v90(constB133, bitIndex2)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40347, 648, 372])).
% 9.88/7.48 tff(40349,plain,
% 9.88/7.48 ((~(v88(constB133, bitIndex2) <=> v90(constB133, bitIndex2))) | v88(constB133, bitIndex2) | (~v90(constB133, bitIndex2))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40350,plain,
% 9.88/7.48 (v88(constB133, bitIndex2)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40349, 20528, 40348])).
% 9.88/7.48 tff(40351,plain,
% 9.88/7.48 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB133, bitIndex0) <=> v90(constB133, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB133, bitIndex0) <=> v90(constB133, bitIndex0)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40352,plain,
% 9.88/7.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB133, bitIndex0) <=> v90(constB133, bitIndex0)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40353,plain,
% 9.88/7.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB133, bitIndex0) <=> v90(constB133, bitIndex0))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40352, 40351])).
% 9.88/7.48 tff(40354,plain,
% 9.88/7.48 (v88(constB133, bitIndex0) <=> v90(constB133, bitIndex0)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40353, 9653, 372])).
% 9.88/7.48 tff(40355,plain,
% 9.88/7.48 ((~(v88(constB133, bitIndex0) <=> v90(constB133, bitIndex0))) | (~v88(constB133, bitIndex0)) | v90(constB133, bitIndex0)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40356,plain,
% 9.88/7.48 (~v88(constB133, bitIndex0)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40355, 20559, 40354])).
% 9.88/7.48 tff(40357,plain,
% 9.88/7.48 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB133, bitIndex1) <=> v90(constB133, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB133, bitIndex1) <=> v90(constB133, bitIndex1)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40358,plain,
% 9.88/7.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB133, bitIndex1) <=> v90(constB133, bitIndex1)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40359,plain,
% 9.88/7.48 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB133, bitIndex1) <=> v90(constB133, bitIndex1))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40358, 40357])).
% 9.88/7.48 tff(40360,plain,
% 9.88/7.48 (v88(constB133, bitIndex1) <=> v90(constB133, bitIndex1)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40359, 375, 372])).
% 9.88/7.48 tff(40361,plain,
% 9.88/7.48 ((~(v88(constB133, bitIndex1) <=> v90(constB133, bitIndex1))) | v88(constB133, bitIndex1) | (~v90(constB133, bitIndex1))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40362,plain,
% 9.88/7.48 (v88(constB133, bitIndex1)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40361, 20590, 40360])).
% 9.88/7.48 tff(40363,plain,
% 9.88/7.48 ((~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))) | (~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40364,plain,
% 9.88/7.48 (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40363, 40362, 40356, 40350])).
% 9.88/7.48 tff(40365,plain,
% 9.88/7.48 ((~(v144(constB133) <=> (~((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))))) | v144(constB133) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40366,plain,
% 9.88/7.48 (v144(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40365, 40364, 40344])).
% 9.88/7.48 tff(40367,plain,
% 9.88/7.48 ((v143(constB133) | v144(constB133)) | (~v144(constB133))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40368,plain,
% 9.88/7.48 (v143(constB133) | v144(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40367, 40366])).
% 9.88/7.48 tff(40369,plain,
% 9.88/7.48 ((~(v142(constB133) <=> (v143(constB133) | v144(constB133)))) | v142(constB133) | (~(v143(constB133) | v144(constB133)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40370,plain,
% 9.88/7.48 (v142(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40369, 40368, 40337])).
% 9.88/7.48 tff(40371,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB133) | (~v142(constB133)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40372,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB133) | (~v142(constB133)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40373,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB133) | (~v142(constB133))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40372, 40371])).
% 9.88/7.48 tff(40374,plain,
% 9.88/7.48 (v148(constB133) | (~v142(constB133))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40373, 26138])).
% 9.88/7.48 tff(40375,plain,
% 9.88/7.48 (v148(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40374, 40370])).
% 9.88/7.48 tff(40376,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB133) <=> (v136(constB133) | v145(constB133)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40377,plain,
% 9.88/7.48 (v135(constB133) <=> (v136(constB133) | v145(constB133))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40376, 26150])).
% 9.88/7.48 tff(40378,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB133) <=> (v137(constB133) | v142(constB133)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40379,plain,
% 9.88/7.48 (v136(constB133) <=> (v137(constB133) | v142(constB133))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40378, 26159])).
% 9.88/7.48 tff(40380,plain,
% 9.88/7.48 ((v137(constB133) | v142(constB133)) | (~v142(constB133))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40381,plain,
% 9.88/7.48 (v137(constB133) | v142(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40380, 40370])).
% 9.88/7.48 tff(40382,plain,
% 9.88/7.48 ((~(v136(constB133) <=> (v137(constB133) | v142(constB133)))) | v136(constB133) | (~(v137(constB133) | v142(constB133)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40383,plain,
% 9.88/7.48 (v136(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40382, 40381, 40379])).
% 9.88/7.48 tff(40384,plain,
% 9.88/7.48 ((v136(constB133) | v145(constB133)) | (~v136(constB133))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40385,plain,
% 9.88/7.48 (v136(constB133) | v145(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40384, 40383])).
% 9.88/7.48 tff(40386,plain,
% 9.88/7.48 ((~(v135(constB133) <=> (v136(constB133) | v145(constB133)))) | v135(constB133) | (~(v136(constB133) | v145(constB133)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40387,plain,
% 9.88/7.48 (v135(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40386, 40385, 40377])).
% 9.88/7.48 tff(40388,plain,
% 9.88/7.48 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB133)) | (v86(constB133) <=> v148(constB133)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB133)) | (v86(constB133) <=> v148(constB133)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40389,plain,
% 9.88/7.48 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB133)) | (v86(constB133) <=> v148(constB133)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40390,plain,
% 9.88/7.48 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB133)) | (v86(constB133) <=> v148(constB133))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40389, 40388])).
% 9.88/7.48 tff(40391,plain,
% 9.88/7.48 ((~v135(constB133)) | (v86(constB133) <=> v148(constB133))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40390, 26179])).
% 9.88/7.48 tff(40392,plain,
% 9.88/7.48 (v86(constB133) <=> v148(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40391, 40387])).
% 9.88/7.48 tff(40393,plain,
% 9.88/7.48 ((~(v86(constB133) <=> v148(constB133))) | v86(constB133) | (~v148(constB133))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40394,plain,
% 9.88/7.48 (v86(constB133)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40393, 40392, 40375])).
% 9.88/7.48 tff(40395,plain,
% 9.88/7.48 ($false),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40394, 40335])).
% 9.88/7.48 tff(40396,plain,(~(constB133 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.88/7.48 tff(40397,assumption,(constB85 = VarCurr!0), introduced(assumption)).
% 9.88/7.48 tff(40398,plain,
% 9.88/7.48 (v86(constB85) <=> v86(VarCurr!0)),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40397])).
% 9.88/7.48 tff(40399,plain,
% 9.88/7.48 (v86(VarCurr!0) <=> v86(constB85)),
% 9.88/7.48 inference(symmetry,[status(thm)],[40398])).
% 9.88/7.48 tff(40400,plain,
% 9.88/7.48 ((~v86(VarCurr!0)) <=> (~v86(constB85))),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40399])).
% 9.88/7.48 tff(40401,plain,
% 9.88/7.48 (~v86(constB85)),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[26079, 40400])).
% 9.88/7.48 tff(40402,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB85) | (~v142(constB85)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40403,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB85) | (~v142(constB85)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40404,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB85) | (~v142(constB85))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40403, 40402])).
% 9.88/7.48 tff(40405,plain,
% 9.88/7.48 (v148(constB85) | (~v142(constB85))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40404, 26138])).
% 9.88/7.48 tff(40406,plain,
% 9.88/7.48 (v148(constB85)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40405, 31606])).
% 9.88/7.48 tff(40407,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB85) <=> (v136(constB85) | v145(constB85)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40408,plain,
% 9.88/7.48 (v135(constB85) <=> (v136(constB85) | v145(constB85))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40407, 26150])).
% 9.88/7.48 tff(40409,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB85) <=> (v137(constB85) | v142(constB85)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40410,plain,
% 9.88/7.48 (v136(constB85) <=> (v137(constB85) | v142(constB85))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40409, 26159])).
% 9.88/7.48 tff(40411,plain,
% 9.88/7.48 ((v137(constB85) | v142(constB85)) | (~v142(constB85))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40412,plain,
% 9.88/7.48 (v137(constB85) | v142(constB85)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40411, 31606])).
% 9.88/7.48 tff(40413,plain,
% 9.88/7.48 ((~(v136(constB85) <=> (v137(constB85) | v142(constB85)))) | v136(constB85) | (~(v137(constB85) | v142(constB85)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40414,plain,
% 9.88/7.48 (v136(constB85)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40413, 40412, 40410])).
% 9.88/7.48 tff(40415,plain,
% 9.88/7.48 ((v136(constB85) | v145(constB85)) | (~v136(constB85))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40416,plain,
% 9.88/7.48 (v136(constB85) | v145(constB85)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40415, 40414])).
% 9.88/7.48 tff(40417,plain,
% 9.88/7.48 ((~(v135(constB85) <=> (v136(constB85) | v145(constB85)))) | v135(constB85) | (~(v136(constB85) | v145(constB85)))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40418,plain,
% 9.88/7.48 (v135(constB85)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40417, 40416, 40408])).
% 9.88/7.48 tff(40419,plain,
% 9.88/7.48 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB85)) | (v86(constB85) <=> v148(constB85)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB85)) | (v86(constB85) <=> v148(constB85)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40420,plain,
% 9.88/7.48 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB85)) | (v86(constB85) <=> v148(constB85)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40421,plain,
% 9.88/7.48 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB85)) | (v86(constB85) <=> v148(constB85))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40420, 40419])).
% 9.88/7.48 tff(40422,plain,
% 9.88/7.48 ((~v135(constB85)) | (v86(constB85) <=> v148(constB85))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40421, 26179])).
% 9.88/7.48 tff(40423,plain,
% 9.88/7.48 (v86(constB85) <=> v148(constB85)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40422, 40418])).
% 9.88/7.48 tff(40424,plain,
% 9.88/7.48 ((~(v86(constB85) <=> v148(constB85))) | v86(constB85) | (~v148(constB85))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40425,plain,
% 9.88/7.48 (v86(constB85)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40424, 40423, 40406])).
% 9.88/7.48 tff(40426,plain,
% 9.88/7.48 ($false),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40425, 40401])).
% 9.88/7.48 tff(40427,plain,(~(constB85 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.88/7.48 tff(40428,assumption,(constB177 = VarCurr!0), introduced(assumption)).
% 9.88/7.48 tff(40429,plain,
% 9.88/7.48 (v180(constB177) <=> v180(VarCurr!0)),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40428])).
% 9.88/7.48 tff(40430,plain,
% 9.88/7.48 (v180(VarCurr!0) <=> v180(constB177)),
% 9.88/7.48 inference(symmetry,[status(thm)],[40429])).
% 9.88/7.48 tff(40431,plain,
% 9.88/7.48 (v180(constB177)),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[59, 40430])).
% 9.88/7.48 tff(40432,plain,
% 9.88/7.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB176, constB177)) | (v180(constB177) <=> v178(constB176)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB176, constB177)) | (v180(constB177) <=> v178(constB176)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40433,plain,
% 9.88/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB176, constB177)) | (v180(constB177) <=> v178(constB176)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40434,plain,
% 9.88/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB176, constB177)) | (v180(constB177) <=> v178(constB176))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40433, 40432])).
% 9.88/7.48 tff(40435,plain,
% 9.88/7.48 (v180(constB177) <=> v178(constB176)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40434, 1507, 70])).
% 9.88/7.48 tff(40436,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB176) <=> (v181(constB176) | v185(constB176)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40437,plain,
% 9.88/7.48 (v178(constB176) <=> (v181(constB176) | v185(constB176))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40436, 84])).
% 9.88/7.48 tff(40438,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB176) <=> (~((~v186(constB176)) | (~v187(constB176)))))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40439,plain,
% 9.88/7.48 (v185(constB176) <=> (~((~v186(constB176)) | (~v187(constB176))))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40438, 96])).
% 9.88/7.48 tff(40440,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB176) <=> (~((~v184(constB176)) | (~v159(constB176)))))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40441,plain,
% 9.88/7.48 (v187(constB176) <=> (~((~v184(constB176)) | (~v159(constB176))))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40440, 108])).
% 9.88/7.48 tff(40442,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40443,plain,
% 9.88/7.48 (v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176))))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40442, 120])).
% 9.88/7.48 tff(40444,plain,
% 9.88/7.48 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB176)) <=> v1(constB176))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40445,plain,
% 9.88/7.48 ((~v39(constB176)) <=> v1(constB176)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40444, 129])).
% 9.88/7.48 tff(40446,plain,
% 9.88/7.48 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176)) | (~v1(constB176))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40447,plain,
% 9.88/7.48 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40446, 1569])).
% 9.88/7.48 tff(40448,plain,
% 9.88/7.48 (~v39(constB176)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40447, 40445])).
% 9.88/7.48 tff(40449,plain,
% 9.88/7.48 (((~v39(constB176)) | (~v9(constB176))) | v39(constB176)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40450,plain,
% 9.88/7.48 ((~v39(constB176)) | (~v9(constB176))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40449, 40448])).
% 9.88/7.48 tff(40451,plain,
% 9.88/7.48 ((~(v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v184(constB176)) | (~((~v39(constB176)) | (~v9(constB176))))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40452,plain,
% 9.88/7.48 ((~(v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v184(constB176))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40451, 40450])).
% 9.88/7.48 tff(40453,plain,
% 9.88/7.48 (~v184(constB176)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40452, 40443])).
% 9.88/7.48 tff(40454,plain,
% 9.88/7.48 (((~v184(constB176)) | (~v159(constB176))) | v184(constB176)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40455,plain,
% 9.88/7.48 ((~v184(constB176)) | (~v159(constB176))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40454, 40453])).
% 9.88/7.48 tff(40456,plain,
% 9.88/7.48 ((~(v187(constB176) <=> (~((~v184(constB176)) | (~v159(constB176)))))) | (~v187(constB176)) | (~((~v184(constB176)) | (~v159(constB176))))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40457,plain,
% 9.88/7.48 ((~(v187(constB176) <=> (~((~v184(constB176)) | (~v159(constB176)))))) | (~v187(constB176))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40456, 40455])).
% 9.88/7.48 tff(40458,plain,
% 9.88/7.48 (~v187(constB176)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40457, 40441])).
% 9.88/7.48 tff(40459,plain,
% 9.88/7.48 (((~v186(constB176)) | (~v187(constB176))) | v187(constB176)),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40460,plain,
% 9.88/7.48 ((~v186(constB176)) | (~v187(constB176))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40459, 40458])).
% 9.88/7.48 tff(40461,plain,
% 9.88/7.48 ((~(v185(constB176) <=> (~((~v186(constB176)) | (~v187(constB176)))))) | (~v185(constB176)) | (~((~v186(constB176)) | (~v187(constB176))))),
% 9.88/7.48 inference(tautology,[status(thm)],[])).
% 9.88/7.48 tff(40462,plain,
% 9.88/7.48 (~v185(constB176)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40461, 40460, 40439])).
% 9.88/7.48 tff(40463,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176))))))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40464,plain,
% 9.88/7.48 ((v181(constB176) <=> (~((~v182(constB176)) | (~v157(constB176))))) <=> (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176)))))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40465,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v182(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176))))))),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40464])).
% 9.88/7.48 tff(40466,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v182(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176))))))),
% 9.88/7.48 inference(transitivity,[status(thm)],[40465, 40463])).
% 9.88/7.48 tff(40467,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v182(constB176)) | (~v157(constB176)))))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40468,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176)))))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40467, 40466])).
% 9.88/7.48 tff(40469,plain,
% 9.88/7.48 (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176))))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40468, 161])).
% 9.88/7.48 tff(40470,plain,
% 9.88/7.48 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB176) <=> v180(constB176))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40471,plain,
% 9.88/7.48 (v157(constB176) <=> v180(constB176)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40470, 13])).
% 9.88/7.48 tff(40472,plain,
% 9.88/7.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB175, constB176)) | (v180(constB176) <=> v178(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB175, constB176)) | (v180(constB176) <=> v178(constB175)))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40473,plain,
% 9.88/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB175, constB176)) | (v180(constB176) <=> v178(constB175)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40474,plain,
% 9.88/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB175, constB176)) | (v180(constB176) <=> v178(constB175))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40473, 40472])).
% 9.88/7.48 tff(40475,plain,
% 9.88/7.48 (v180(constB176) <=> v178(constB175)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40474, 1539, 70])).
% 9.88/7.48 tff(40476,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB175) <=> (v181(constB175) | v185(constB175)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40477,plain,
% 9.88/7.48 (v178(constB175) <=> (v181(constB175) | v185(constB175))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40476, 84])).
% 9.88/7.48 tff(40478,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175))))))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40479,plain,
% 9.88/7.48 ((v181(constB175) <=> (~((~v182(constB175)) | (~v157(constB175))))) <=> (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175)))))),
% 9.88/7.48 inference(rewrite,[status(thm)],[])).
% 9.88/7.48 tff(40480,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v182(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175))))))),
% 9.88/7.48 inference(monotonicity,[status(thm)],[40479])).
% 9.88/7.48 tff(40481,plain,
% 9.88/7.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v182(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175))))))),
% 9.88/7.48 inference(transitivity,[status(thm)],[40480, 40478])).
% 9.88/7.48 tff(40482,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v182(constB175)) | (~v157(constB175)))))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40483,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175)))))),
% 9.88/7.48 inference(modus_ponens,[status(thm)],[40482, 40481])).
% 9.88/7.48 tff(40484,plain,
% 9.88/7.48 (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175))))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40483, 161])).
% 9.88/7.48 tff(40485,plain,
% 9.88/7.48 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB175)) <=> v183(constB175))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40486,plain,
% 9.88/7.48 ((~v182(constB175)) <=> v183(constB175)),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40485, 193])).
% 9.88/7.48 tff(40487,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB175) <=> (v184(constB175) | v26(constB175)))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40488,plain,
% 9.88/7.48 (v183(constB175) <=> (v184(constB175) | v26(constB175))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40487, 202])).
% 9.88/7.48 tff(40489,plain,
% 9.88/7.48 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))),
% 9.88/7.48 inference(quant_inst,[status(thm)],[])).
% 9.88/7.48 tff(40490,plain,
% 9.88/7.48 (v184(constB175) <=> (~((~v39(constB175)) | (~v9(constB175))))),
% 9.88/7.48 inference(unit_resolution,[status(thm)],[40489, 120])).
% 9.88/7.48 tff(40491,plain,
% 9.88/7.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40492,plain,
% 9.88/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40493,plain,
% 9.88/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40492, 40491])).
% 9.88/7.49 tff(40494,plain,
% 9.88/7.49 (v13(constB176) <=> v9(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40493, 1539, 216])).
% 9.88/7.49 tff(40495,plain,
% 9.88/7.49 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB176) <=> v13(constB176))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40496,plain,
% 9.88/7.49 (v6(constB176) <=> v13(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40495, 230])).
% 9.88/7.49 tff(40497,plain,
% 9.88/7.49 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB176)) <=> v6(constB176))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40498,plain,
% 9.88/7.49 ((~v21(constB176)) <=> v6(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40497, 239])).
% 9.88/7.49 tff(40499,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB176) <=> (v20(constB176) | v21(constB176)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40500,plain,
% 9.88/7.49 (v19(constB176) <=> (v20(constB176) | v21(constB176))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40499, 248])).
% 9.88/7.49 tff(40501,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40502,plain,
% 9.88/7.49 (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40501, 260])).
% 9.88/7.49 tff(40503,plain,
% 9.88/7.49 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB176)) <=> v18(constB176))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40504,plain,
% 9.88/7.49 ((~v4(constB176)) <=> v18(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40503, 269])).
% 9.88/7.49 tff(40505,plain,
% 9.88/7.49 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB176)),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40506,plain,
% 9.88/7.49 (v4(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40505, 278])).
% 9.88/7.49 tff(40507,plain,
% 9.88/7.49 ((~((~v4(constB176)) <=> v18(constB176))) | (~v4(constB176)) | (~v18(constB176))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40508,plain,
% 9.88/7.49 (~v18(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40507, 40506, 40504])).
% 9.88/7.49 tff(40509,plain,
% 9.88/7.49 ((~(v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))) | v18(constB176) | ((~v19(constB176)) | (~v22(constB176)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40510,plain,
% 9.88/7.49 ((~v19(constB176)) | (~v22(constB176))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40509, 40508, 40502])).
% 9.88/7.49 tff(40511,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB176) <=> (v1(constB176) | v6(constB176)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40512,plain,
% 9.88/7.49 (v22(constB176) <=> (v1(constB176) | v6(constB176))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40511, 291])).
% 9.88/7.49 tff(40513,plain,
% 9.88/7.49 ((v1(constB176) | v6(constB176)) | (~v1(constB176))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40514,plain,
% 9.88/7.49 (v1(constB176) | v6(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40513, 1569])).
% 9.88/7.49 tff(40515,plain,
% 9.88/7.49 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176) | (~(v1(constB176) | v6(constB176)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40516,plain,
% 9.88/7.49 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40515, 40514])).
% 9.88/7.49 tff(40517,plain,
% 9.88/7.49 (v22(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40516, 40512])).
% 9.88/7.49 tff(40518,plain,
% 9.88/7.49 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176)) | (~v22(constB176))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40519,plain,
% 9.88/7.49 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40518, 40517])).
% 9.88/7.49 tff(40520,plain,
% 9.88/7.49 (~v19(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40519, 40510])).
% 9.88/7.49 tff(40521,plain,
% 9.88/7.49 ((~(v19(constB176) <=> (v20(constB176) | v21(constB176)))) | v19(constB176) | (~(v20(constB176) | v21(constB176)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40522,plain,
% 9.88/7.49 (~(v20(constB176) | v21(constB176))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40521, 40520, 40500])).
% 9.88/7.49 tff(40523,plain,
% 9.88/7.49 ((v20(constB176) | v21(constB176)) | (~v21(constB176))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40524,plain,
% 9.88/7.49 (~v21(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40523, 40522])).
% 9.88/7.49 tff(40525,plain,
% 9.88/7.49 ((~((~v21(constB176)) <=> v6(constB176))) | v21(constB176) | v6(constB176)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40526,plain,
% 9.88/7.49 (v6(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40525, 40524, 40498])).
% 9.88/7.49 tff(40527,plain,
% 9.88/7.49 ((~(v6(constB176) <=> v13(constB176))) | (~v6(constB176)) | v13(constB176)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40528,plain,
% 9.88/7.49 (v13(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40527, 40526, 40496])).
% 9.88/7.49 tff(40529,plain,
% 9.88/7.49 ((~(v13(constB176) <=> v9(constB175))) | (~v13(constB176)) | v9(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40530,plain,
% 9.88/7.49 (v9(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40529, 40528, 40494])).
% 9.88/7.49 tff(40531,plain,
% 9.88/7.49 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB175)) <=> v1(constB175))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40532,plain,
% 9.88/7.49 ((~v39(constB175)) <=> v1(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40531, 129])).
% 9.88/7.49 tff(40533,plain,
% 9.88/7.49 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175) | v1(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40534,plain,
% 9.88/7.49 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40533, 1561])).
% 9.88/7.49 tff(40535,plain,
% 9.88/7.49 (v39(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40534, 40532])).
% 9.88/7.49 tff(40536,plain,
% 9.88/7.49 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v39(constB175)) | (~v9(constB175))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40537,plain,
% 9.88/7.49 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v9(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40536, 40535])).
% 9.88/7.49 tff(40538,plain,
% 9.88/7.49 (~((~v39(constB175)) | (~v9(constB175)))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40537, 40530])).
% 9.88/7.49 tff(40539,plain,
% 9.88/7.49 ((~(v184(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))) | v184(constB175) | ((~v39(constB175)) | (~v9(constB175)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40540,plain,
% 9.88/7.49 (v184(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40539, 40538, 40490])).
% 9.88/7.49 tff(40541,plain,
% 9.88/7.49 ((v184(constB175) | v26(constB175)) | (~v184(constB175))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40542,plain,
% 9.88/7.49 (v184(constB175) | v26(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40541, 40540])).
% 9.88/7.49 tff(40543,plain,
% 9.88/7.49 ((~(v183(constB175) <=> (v184(constB175) | v26(constB175)))) | v183(constB175) | (~(v184(constB175) | v26(constB175)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40544,plain,
% 9.88/7.49 (v183(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40543, 40542, 40488])).
% 9.88/7.49 tff(40545,plain,
% 9.88/7.49 ((~((~v182(constB175)) <=> v183(constB175))) | (~v182(constB175)) | (~v183(constB175))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40546,plain,
% 9.88/7.49 (~v182(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40545, 40544, 40486])).
% 9.88/7.49 tff(40547,plain,
% 9.88/7.49 (((~v157(constB175)) | (~v182(constB175))) | v182(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40548,plain,
% 9.88/7.49 ((~v157(constB175)) | (~v182(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40547, 40546])).
% 9.88/7.49 tff(40549,plain,
% 9.88/7.49 ((~(v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175)))))) | (~v181(constB175)) | (~((~v157(constB175)) | (~v182(constB175))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40550,plain,
% 9.88/7.49 (~v181(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40549, 40548, 40484])).
% 9.88/7.49 tff(40551,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB175) <=> (~((~v186(constB175)) | (~v187(constB175)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40552,plain,
% 9.88/7.49 (v185(constB175) <=> (~((~v186(constB175)) | (~v187(constB175))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40551, 96])).
% 9.88/7.49 tff(40553,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB175) <=> (~((~v184(constB175)) | (~v159(constB175)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40554,plain,
% 9.88/7.49 (v187(constB175) <=> (~((~v184(constB175)) | (~v159(constB175))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40553, 108])).
% 9.88/7.49 tff(40555,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB175) <=> v161(constB175))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40556,plain,
% 9.88/7.49 (v159(constB175) <=> v161(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40555, 345])).
% 9.88/7.49 tff(40557,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB175) <=> (~(v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40558,plain,
% 9.88/7.49 (v139(constB175) <=> (~(v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2)))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40557, 360])).
% 9.88/7.49 tff(40559,plain,
% 9.88/7.49 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1)))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40560,plain,
% 9.88/7.49 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40561,plain,
% 9.88/7.49 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40560, 40559])).
% 9.88/7.49 tff(40562,plain,
% 9.88/7.49 (v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40561, 375, 372])).
% 9.88/7.49 tff(40563,plain,
% 9.88/7.49 ((~(v88(constB175, bitIndex1) <=> v90(constB175, bitIndex1))) | v88(constB175, bitIndex1) | (~v90(constB175, bitIndex1))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40564,plain,
% 9.88/7.49 (v88(constB175, bitIndex1)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40563, 24044, 40562])).
% 9.88/7.49 tff(40565,plain,
% 9.88/7.49 ((v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex1))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40566,plain,
% 9.88/7.49 (v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40565, 40564])).
% 9.88/7.49 tff(40567,plain,
% 9.88/7.49 ((~(v139(constB175) <=> (~(v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2))))) | (~v139(constB175)) | (~(v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40568,plain,
% 9.88/7.49 (~v139(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40567, 40566, 40558])).
% 9.88/7.49 tff(40569,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0))))))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40570,plain,
% 9.88/7.49 ((v140(constB175) <=> (~(v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))))) <=> (v140(constB175) <=> (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0)))))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40571,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0))))))),
% 9.88/7.49 inference(monotonicity,[status(thm)],[40570])).
% 9.88/7.49 tff(40572,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0))))))),
% 9.88/7.49 inference(transitivity,[status(thm)],[40571, 40569])).
% 9.88/7.49 tff(40573,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40574,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0)))))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40573, 40572])).
% 9.88/7.49 tff(40575,plain,
% 9.88/7.49 (v140(constB175) <=> (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40574, 25795])).
% 9.88/7.49 tff(40576,plain,
% 9.88/7.49 ((v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0))) | (~v88(constB175, bitIndex1))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40577,plain,
% 9.88/7.49 (v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40576, 40564])).
% 9.88/7.49 tff(40578,plain,
% 9.88/7.49 ((~(v140(constB175) <=> (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0)))))) | (~v140(constB175)) | (~(v88(constB175, bitIndex2) | v88(constB175, bitIndex1) | (~v88(constB175, bitIndex0))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40579,plain,
% 9.88/7.49 (~v140(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40578, 40577, 40575])).
% 9.88/7.49 tff(40580,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v168(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB175) | v139(constB175) | (~v168(constB175)))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40581,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v168(constB175)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40582,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB175) | v139(constB175) | (~v168(constB175))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40581, 40580])).
% 9.88/7.49 tff(40583,plain,
% 9.88/7.49 (v140(constB175) | v139(constB175) | (~v168(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40582, 25819])).
% 9.88/7.49 tff(40584,plain,
% 9.88/7.49 (~v168(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40583, 40579, 40568])).
% 9.88/7.49 tff(40585,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB175) <=> (v145(constB175) | v165(constB175)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40586,plain,
% 9.88/7.49 (v164(constB175) <=> (v145(constB175) | v165(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40585, 25834])).
% 9.88/7.49 tff(40587,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB175) <=> (v142(constB175) | v166(constB175)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40588,plain,
% 9.88/7.49 (v165(constB175) <=> (v142(constB175) | v166(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40587, 25846])).
% 9.88/7.49 tff(40589,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB175) <=> (v141(constB175) | v167(constB175)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40590,plain,
% 9.88/7.49 (v166(constB175) <=> (v141(constB175) | v167(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40589, 26362])).
% 9.88/7.49 tff(40591,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40592,plain,
% 9.88/7.49 (v141(constB175) <=> (~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40591, 26377])).
% 9.88/7.49 tff(40593,plain,
% 9.88/7.49 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2)))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40594,plain,
% 9.88/7.49 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40595,plain,
% 9.88/7.49 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40594, 40593])).
% 9.88/7.49 tff(40596,plain,
% 9.88/7.49 (v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40595, 648, 372])).
% 9.88/7.49 tff(40597,plain,
% 9.88/7.49 ((~(v88(constB175, bitIndex2) <=> v90(constB175, bitIndex2))) | (~v88(constB175, bitIndex2)) | v90(constB175, bitIndex2)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40598,plain,
% 9.88/7.49 (~v88(constB175, bitIndex2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40597, 23982, 40596])).
% 9.88/7.49 tff(40599,plain,
% 9.88/7.49 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0)))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40600,plain,
% 9.88/7.49 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40601,plain,
% 9.88/7.49 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40600, 40599])).
% 9.88/7.49 tff(40602,plain,
% 9.88/7.49 (v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40601, 9653, 372])).
% 9.88/7.49 tff(40603,plain,
% 9.88/7.49 ((~(v88(constB175, bitIndex0) <=> v90(constB175, bitIndex0))) | v88(constB175, bitIndex0) | (~v90(constB175, bitIndex0))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40604,plain,
% 9.88/7.49 (v88(constB175, bitIndex0)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40603, 24013, 40602])).
% 9.88/7.49 tff(40605,plain,
% 9.88/7.49 ((~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)))) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40606,plain,
% 9.88/7.49 (~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40605, 40564, 40604, 40598])).
% 9.88/7.49 tff(40607,plain,
% 9.88/7.49 ((~(v141(constB175) <=> (~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)))))) | v141(constB175) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40608,plain,
% 9.88/7.49 (v141(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40607, 40606, 40592])).
% 9.88/7.49 tff(40609,plain,
% 9.88/7.49 ((v141(constB175) | v167(constB175)) | (~v141(constB175))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40610,plain,
% 9.88/7.49 (v141(constB175) | v167(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40609, 40608])).
% 9.88/7.49 tff(40611,plain,
% 9.88/7.49 ((~(v166(constB175) <=> (v141(constB175) | v167(constB175)))) | v166(constB175) | (~(v141(constB175) | v167(constB175)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40612,plain,
% 9.88/7.49 (v166(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40611, 40610, 40590])).
% 9.88/7.49 tff(40613,plain,
% 9.88/7.49 ((v142(constB175) | v166(constB175)) | (~v166(constB175))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40614,plain,
% 9.88/7.49 (v142(constB175) | v166(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40613, 40612])).
% 9.88/7.49 tff(40615,plain,
% 9.88/7.49 ((~(v165(constB175) <=> (v142(constB175) | v166(constB175)))) | v165(constB175) | (~(v142(constB175) | v166(constB175)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40616,plain,
% 9.88/7.49 (v165(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40615, 40614, 40588])).
% 9.88/7.49 tff(40617,plain,
% 9.88/7.49 ((v145(constB175) | v165(constB175)) | (~v165(constB175))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40618,plain,
% 9.88/7.49 (v145(constB175) | v165(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40617, 40616])).
% 9.88/7.49 tff(40619,plain,
% 9.88/7.49 ((~(v164(constB175) <=> (v145(constB175) | v165(constB175)))) | v164(constB175) | (~(v145(constB175) | v165(constB175)))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40620,plain,
% 9.88/7.49 (v164(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40619, 40618, 40586])).
% 9.88/7.49 tff(40621,plain,
% 9.88/7.49 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB175)) | (v161(constB175) <=> v168(constB175)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB175)) | (v161(constB175) <=> v168(constB175)))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40622,plain,
% 9.88/7.49 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB175)) | (v161(constB175) <=> v168(constB175)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40623,plain,
% 9.88/7.49 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB175)) | (v161(constB175) <=> v168(constB175))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40622, 40621])).
% 9.88/7.49 tff(40624,plain,
% 9.88/7.49 ((~v164(constB175)) | (v161(constB175) <=> v168(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40623, 25977])).
% 9.88/7.49 tff(40625,plain,
% 9.88/7.49 (v161(constB175) <=> v168(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40624, 40620])).
% 9.88/7.49 tff(40626,plain,
% 9.88/7.49 ((~(v161(constB175) <=> v168(constB175))) | (~v161(constB175)) | v168(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40627,plain,
% 9.88/7.49 (~v161(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40626, 40625, 40584])).
% 9.88/7.49 tff(40628,plain,
% 9.88/7.49 ((~(v159(constB175) <=> v161(constB175))) | (~v159(constB175)) | v161(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40629,plain,
% 9.88/7.49 ((~(v159(constB175) <=> v161(constB175))) | (~v159(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40628, 40627])).
% 9.88/7.49 tff(40630,plain,
% 9.88/7.49 (~v159(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40629, 40556])).
% 9.88/7.49 tff(40631,plain,
% 9.88/7.49 (((~v184(constB175)) | (~v159(constB175))) | v159(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40632,plain,
% 9.88/7.49 ((~v184(constB175)) | (~v159(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40631, 40630])).
% 9.88/7.49 tff(40633,plain,
% 9.88/7.49 ((~(v187(constB175) <=> (~((~v184(constB175)) | (~v159(constB175)))))) | (~v187(constB175)) | (~((~v184(constB175)) | (~v159(constB175))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40634,plain,
% 9.88/7.49 (~v187(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40633, 40632, 40554])).
% 9.88/7.49 tff(40635,plain,
% 9.88/7.49 (((~v186(constB175)) | (~v187(constB175))) | v187(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40636,plain,
% 9.88/7.49 ((~v186(constB175)) | (~v187(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40635, 40634])).
% 9.88/7.49 tff(40637,plain,
% 9.88/7.49 ((~(v185(constB175) <=> (~((~v186(constB175)) | (~v187(constB175)))))) | (~v185(constB175)) | (~((~v186(constB175)) | (~v187(constB175))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40638,plain,
% 9.88/7.49 (~v185(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40637, 40636, 40552])).
% 9.88/7.49 tff(40639,plain,
% 9.88/7.49 ((~(v181(constB175) | v185(constB175))) | v181(constB175) | v185(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40640,plain,
% 9.88/7.49 (~(v181(constB175) | v185(constB175))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40639, 40638, 40550])).
% 9.88/7.49 tff(40641,plain,
% 9.88/7.49 ((~(v178(constB175) <=> (v181(constB175) | v185(constB175)))) | (~v178(constB175)) | (v181(constB175) | v185(constB175))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40642,plain,
% 9.88/7.49 (~v178(constB175)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40641, 40640, 40477])).
% 9.88/7.49 tff(40643,plain,
% 9.88/7.49 ((~(v180(constB176) <=> v178(constB175))) | (~v180(constB176)) | v178(constB175)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40644,plain,
% 9.88/7.49 (~v180(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40643, 40642, 40475])).
% 9.88/7.49 tff(40645,plain,
% 9.88/7.49 ((~(v157(constB176) <=> v180(constB176))) | (~v157(constB176)) | v180(constB176)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40646,plain,
% 9.88/7.49 (~v157(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40645, 40644, 40471])).
% 9.88/7.49 tff(40647,plain,
% 9.88/7.49 (((~v157(constB176)) | (~v182(constB176))) | v157(constB176)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40648,plain,
% 9.88/7.49 ((~v157(constB176)) | (~v182(constB176))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40647, 40646])).
% 9.88/7.49 tff(40649,plain,
% 9.88/7.49 ((~(v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176)))))) | (~v181(constB176)) | (~((~v157(constB176)) | (~v182(constB176))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40650,plain,
% 9.88/7.49 (~v181(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40649, 40648, 40469])).
% 9.88/7.49 tff(40651,plain,
% 9.88/7.49 ((~(v181(constB176) | v185(constB176))) | v181(constB176) | v185(constB176)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40652,plain,
% 9.88/7.49 (~(v181(constB176) | v185(constB176))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40651, 40650, 40462])).
% 9.88/7.49 tff(40653,plain,
% 9.88/7.49 ((~(v178(constB176) <=> (v181(constB176) | v185(constB176)))) | (~v178(constB176)) | (v181(constB176) | v185(constB176))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40654,plain,
% 9.88/7.49 (~v178(constB176)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40653, 40652, 40437])).
% 9.88/7.49 tff(40655,plain,
% 9.88/7.49 ((~(v180(constB177) <=> v178(constB176))) | (~v180(constB177)) | v178(constB176)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40656,plain,
% 9.88/7.49 (~v180(constB177)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40655, 40654, 40435])).
% 9.88/7.49 tff(40657,plain,
% 9.88/7.49 ($false),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40656, 40431])).
% 9.88/7.49 tff(40658,plain,(~(constB177 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.88/7.49 tff(40659,assumption,(constB3 = VarCurr!0), introduced(assumption)).
% 9.88/7.49 tff(40660,plain,
% 9.88/7.49 (v180(constB3) <=> v180(VarCurr!0)),
% 9.88/7.49 inference(monotonicity,[status(thm)],[40659])).
% 9.88/7.49 tff(40661,plain,
% 9.88/7.49 (v180(VarCurr!0) <=> v180(constB3)),
% 9.88/7.49 inference(symmetry,[status(thm)],[40660])).
% 9.88/7.49 tff(40662,plain,
% 9.88/7.49 (v180(constB3)),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[59, 40661])).
% 9.88/7.49 tff(40663,plain,
% 9.88/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB2, constB3)) | (v180(constB3) <=> v178(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB2, constB3)) | (v180(constB3) <=> v178(constB2)))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40664,plain,
% 9.88/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB2, constB3)) | (v180(constB3) <=> v178(constB2)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40665,plain,
% 9.88/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB2, constB3)) | (v180(constB3) <=> v178(constB2))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40664, 40663])).
% 9.88/7.49 tff(40666,plain,
% 9.88/7.49 (v180(constB3) <=> v178(constB2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40665, 9520, 70])).
% 9.88/7.49 tff(40667,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB2) <=> (v181(constB2) | v185(constB2)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40668,plain,
% 9.88/7.49 (v178(constB2) <=> (v181(constB2) | v185(constB2))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40667, 84])).
% 9.88/7.49 tff(40669,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB2) <=> (~((~v186(constB2)) | (~v187(constB2)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40670,plain,
% 9.88/7.49 (v185(constB2) <=> (~((~v186(constB2)) | (~v187(constB2))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40669, 96])).
% 9.88/7.49 tff(40671,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB2) <=> (~((~v184(constB2)) | (~v159(constB2)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40672,plain,
% 9.88/7.49 (v187(constB2) <=> (~((~v184(constB2)) | (~v159(constB2))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40671, 108])).
% 9.88/7.49 tff(40673,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40674,plain,
% 9.88/7.49 (v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40673, 120])).
% 9.88/7.49 tff(40675,plain,
% 9.88/7.49 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB2)) <=> v1(constB2))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40676,plain,
% 9.88/7.49 ((~v39(constB2)) <=> v1(constB2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40675, 129])).
% 9.88/7.49 tff(40677,plain,
% 9.88/7.49 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2)) | (~v1(constB2))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40678,plain,
% 9.88/7.49 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40677, 9582])).
% 9.88/7.49 tff(40679,plain,
% 9.88/7.49 (~v39(constB2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40678, 40676])).
% 9.88/7.49 tff(40680,plain,
% 9.88/7.49 (((~v39(constB2)) | (~v9(constB2))) | v39(constB2)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40681,plain,
% 9.88/7.49 ((~v39(constB2)) | (~v9(constB2))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40680, 40679])).
% 9.88/7.49 tff(40682,plain,
% 9.88/7.49 ((~(v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v184(constB2)) | (~((~v39(constB2)) | (~v9(constB2))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40683,plain,
% 9.88/7.49 ((~(v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v184(constB2))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40682, 40681])).
% 9.88/7.49 tff(40684,plain,
% 9.88/7.49 (~v184(constB2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40683, 40674])).
% 9.88/7.49 tff(40685,plain,
% 9.88/7.49 (((~v184(constB2)) | (~v159(constB2))) | v184(constB2)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40686,plain,
% 9.88/7.49 ((~v184(constB2)) | (~v159(constB2))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40685, 40684])).
% 9.88/7.49 tff(40687,plain,
% 9.88/7.49 ((~(v187(constB2) <=> (~((~v184(constB2)) | (~v159(constB2)))))) | (~v187(constB2)) | (~((~v184(constB2)) | (~v159(constB2))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40688,plain,
% 9.88/7.49 ((~(v187(constB2) <=> (~((~v184(constB2)) | (~v159(constB2)))))) | (~v187(constB2))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40687, 40686])).
% 9.88/7.49 tff(40689,plain,
% 9.88/7.49 (~v187(constB2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40688, 40672])).
% 9.88/7.49 tff(40690,plain,
% 9.88/7.49 (((~v186(constB2)) | (~v187(constB2))) | v187(constB2)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40691,plain,
% 9.88/7.49 ((~v186(constB2)) | (~v187(constB2))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40690, 40689])).
% 9.88/7.49 tff(40692,plain,
% 9.88/7.49 ((~(v185(constB2) <=> (~((~v186(constB2)) | (~v187(constB2)))))) | (~v185(constB2)) | (~((~v186(constB2)) | (~v187(constB2))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40693,plain,
% 9.88/7.49 (~v185(constB2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40692, 40691, 40670])).
% 9.88/7.49 tff(40694,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2))))))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40695,plain,
% 9.88/7.49 ((v181(constB2) <=> (~((~v182(constB2)) | (~v157(constB2))))) <=> (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2)))))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40696,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v182(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2))))))),
% 9.88/7.49 inference(monotonicity,[status(thm)],[40695])).
% 9.88/7.49 tff(40697,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v182(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2))))))),
% 9.88/7.49 inference(transitivity,[status(thm)],[40696, 40694])).
% 9.88/7.49 tff(40698,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v182(constB2)) | (~v157(constB2)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40699,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2)))))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40698, 40697])).
% 9.88/7.49 tff(40700,plain,
% 9.88/7.49 (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40699, 161])).
% 9.88/7.49 tff(40701,plain,
% 9.88/7.49 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB2) <=> v180(constB2))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40702,plain,
% 9.88/7.49 (v157(constB2) <=> v180(constB2)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40701, 13])).
% 9.88/7.49 tff(40703,plain,
% 9.88/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB1, constB2)) | (v180(constB2) <=> v178(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB1, constB2)) | (v180(constB2) <=> v178(constB1)))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40704,plain,
% 9.88/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB1, constB2)) | (v180(constB2) <=> v178(constB1)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40705,plain,
% 9.88/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB1, constB2)) | (v180(constB2) <=> v178(constB1))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40704, 40703])).
% 9.88/7.49 tff(40706,plain,
% 9.88/7.49 (v180(constB2) <=> v178(constB1)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40705, 9552, 70])).
% 9.88/7.49 tff(40707,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB1) <=> (v181(constB1) | v185(constB1)))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40708,plain,
% 9.88/7.49 (v178(constB1) <=> (v181(constB1) | v185(constB1))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40707, 84])).
% 9.88/7.49 tff(40709,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1))))))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40710,plain,
% 9.88/7.49 ((v181(constB1) <=> (~((~v182(constB1)) | (~v157(constB1))))) <=> (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1)))))),
% 9.88/7.49 inference(rewrite,[status(thm)],[])).
% 9.88/7.49 tff(40711,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v182(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1))))))),
% 9.88/7.49 inference(monotonicity,[status(thm)],[40710])).
% 9.88/7.49 tff(40712,plain,
% 9.88/7.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v182(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1))))))),
% 9.88/7.49 inference(transitivity,[status(thm)],[40711, 40709])).
% 9.88/7.49 tff(40713,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v182(constB1)) | (~v157(constB1)))))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40714,plain,
% 9.88/7.49 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1)))))),
% 9.88/7.49 inference(modus_ponens,[status(thm)],[40713, 40712])).
% 9.88/7.49 tff(40715,plain,
% 9.88/7.49 (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1))))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40714, 161])).
% 9.88/7.49 tff(40716,plain,
% 9.88/7.49 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB1) <=> v180(constB1))),
% 9.88/7.49 inference(quant_inst,[status(thm)],[])).
% 9.88/7.49 tff(40717,plain,
% 9.88/7.49 (v157(constB1) <=> v180(constB1)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40716, 13])).
% 9.88/7.49 tff(40718,plain,
% 9.88/7.49 ((~(v157(constB1) <=> v180(constB1))) | (~v157(constB1)) | v180(constB1)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40719,plain,
% 9.88/7.49 (~v157(constB1)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40718, 29167, 40717])).
% 9.88/7.49 tff(40720,plain,
% 9.88/7.49 (((~v157(constB1)) | (~v182(constB1))) | v157(constB1)),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40721,plain,
% 9.88/7.49 ((~v157(constB1)) | (~v182(constB1))),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40720, 40719])).
% 9.88/7.49 tff(40722,plain,
% 9.88/7.49 ((~(v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1)))))) | (~v181(constB1)) | (~((~v157(constB1)) | (~v182(constB1))))),
% 9.88/7.49 inference(tautology,[status(thm)],[])).
% 9.88/7.49 tff(40723,plain,
% 9.88/7.49 (~v181(constB1)),
% 9.88/7.49 inference(unit_resolution,[status(thm)],[40722, 40721, 40715])).
% 9.88/7.49 tff(40724,plain,
% 9.88/7.50 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB1) <=> (~((~v186(constB1)) | (~v187(constB1)))))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40725,plain,
% 9.88/7.50 (v185(constB1) <=> (~((~v186(constB1)) | (~v187(constB1))))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40724, 96])).
% 9.88/7.50 tff(40726,plain,
% 9.88/7.50 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB1) <=> (~((~v184(constB1)) | (~v159(constB1)))))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40727,plain,
% 9.88/7.50 (v187(constB1) <=> (~((~v184(constB1)) | (~v159(constB1))))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40726, 108])).
% 9.88/7.50 tff(40728,plain,
% 9.88/7.50 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB1) <=> v161(constB1))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40729,plain,
% 9.88/7.50 (v159(constB1) <=> v161(constB1)),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40728, 345])).
% 9.88/7.50 tff(40730,plain,
% 9.88/7.50 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB1) <=> (v145(constB1) | v165(constB1)))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40731,plain,
% 9.88/7.50 (v164(constB1) <=> (v145(constB1) | v165(constB1))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40730, 25834])).
% 9.88/7.50 tff(40732,plain,
% 9.88/7.50 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB1) <=> (v142(constB1) | v166(constB1)))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40733,plain,
% 9.88/7.50 (v165(constB1) <=> (v142(constB1) | v166(constB1))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40732, 25846])).
% 9.88/7.50 tff(40734,plain,
% 9.88/7.50 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB1) <=> (v141(constB1) | v167(constB1)))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40735,plain,
% 9.88/7.50 (v166(constB1) <=> (v141(constB1) | v167(constB1))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40734, 26362])).
% 9.88/7.50 tff(40736,plain,
% 9.88/7.50 (^[VarCurr: $i] : refl((v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 9.88/7.50 inference(bind,[status(th)],[])).
% 9.88/7.50 tff(40737,plain,
% 9.88/7.50 (![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 9.88/7.50 inference(quant_intro,[status(thm)],[40736])).
% 9.88/7.50 tff(40738,plain,
% 9.88/7.50 (![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 9.88/7.50 inference(rewrite,[status(thm)],[])).
% 9.88/7.50 tff(40739,axiom,(![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_36')).
% 9.88/7.50 tff(40740,plain,
% 9.88/7.50 (![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 9.88/7.50 inference(modus_ponens,[status(thm)],[40739, 40738])).
% 9.88/7.50 tff(40741,plain,(
% 9.88/7.50 ![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 9.88/7.50 inference(skolemize,[status(sab)],[40740])).
% 9.88/7.50 tff(40742,plain,
% 9.88/7.50 (![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 9.88/7.50 inference(modus_ponens,[status(thm)],[40741, 40737])).
% 9.88/7.50 tff(40743,plain,
% 9.88/7.50 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v167(constB1) <=> (v139(constB1) | v140(constB1)))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40744,plain,
% 9.88/7.50 (v167(constB1) <=> (v139(constB1) | v140(constB1))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40743, 40742])).
% 9.88/7.50 tff(40745,plain,
% 9.88/7.50 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB1) <=> (~(v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2))))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40746,plain,
% 9.88/7.50 (v139(constB1) <=> (~(v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2)))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40745, 360])).
% 9.88/7.50 tff(40747,plain,
% 9.88/7.50 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB1, bitIndex0) <=> v90(constB1, bitIndex0)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB1, bitIndex0) <=> v90(constB1, bitIndex0)))),
% 9.88/7.50 inference(rewrite,[status(thm)],[])).
% 9.88/7.50 tff(40748,plain,
% 9.88/7.50 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex0)) | (v88(constB1, bitIndex0) <=> v90(constB1, bitIndex0)))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40749,plain,
% 9.88/7.50 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex0)) | (v88(constB1, bitIndex0) <=> v90(constB1, bitIndex0))),
% 9.88/7.50 inference(modus_ponens,[status(thm)],[40748, 40747])).
% 9.88/7.50 tff(40750,plain,
% 9.88/7.50 (v88(constB1, bitIndex0) <=> v90(constB1, bitIndex0)),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40749, 9653, 372])).
% 9.88/7.50 tff(40751,plain,
% 9.88/7.50 ((~(v88(constB1, bitIndex0) <=> v90(constB1, bitIndex0))) | (~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0)),
% 9.88/7.50 inference(tautology,[status(thm)],[])).
% 9.88/7.50 tff(40752,plain,
% 9.88/7.50 ((~(v88(constB1, bitIndex0) <=> v90(constB1, bitIndex0))) | (~v88(constB1, bitIndex0))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40751, 9663])).
% 9.88/7.50 tff(40753,plain,
% 9.88/7.50 (~v88(constB1, bitIndex0)),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40752, 40750])).
% 9.88/7.50 tff(40754,plain,
% 9.88/7.50 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB1, bitIndex1) <=> v90(constB1, bitIndex1)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB1, bitIndex1) <=> v90(constB1, bitIndex1)))),
% 9.88/7.50 inference(rewrite,[status(thm)],[])).
% 9.88/7.50 tff(40755,plain,
% 9.88/7.50 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex1)) | (v88(constB1, bitIndex1) <=> v90(constB1, bitIndex1)))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40756,plain,
% 9.88/7.50 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex1)) | (v88(constB1, bitIndex1) <=> v90(constB1, bitIndex1))),
% 9.88/7.50 inference(modus_ponens,[status(thm)],[40755, 40754])).
% 9.88/7.50 tff(40757,plain,
% 9.88/7.50 (v88(constB1, bitIndex1) <=> v90(constB1, bitIndex1)),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40756, 375, 372])).
% 9.88/7.50 tff(40758,plain,
% 9.88/7.50 ((~(v88(constB1, bitIndex1) <=> v90(constB1, bitIndex1))) | (~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1)),
% 9.88/7.50 inference(tautology,[status(thm)],[])).
% 9.88/7.50 tff(40759,plain,
% 9.88/7.50 ((~(v88(constB1, bitIndex1) <=> v90(constB1, bitIndex1))) | (~v88(constB1, bitIndex1))),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40758, 9673])).
% 9.88/7.50 tff(40760,plain,
% 9.88/7.50 (~v88(constB1, bitIndex1)),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40759, 40757])).
% 9.88/7.50 tff(40761,plain,
% 9.88/7.50 (((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB1, bitIndex2) <=> v90(constB1, bitIndex2)))) <=> ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB1, bitIndex2) <=> v90(constB1, bitIndex2)))),
% 9.88/7.50 inference(rewrite,[status(thm)],[])).
% 9.88/7.50 tff(40762,plain,
% 9.88/7.50 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | ((~less_3(bitIndex2)) | (v88(constB1, bitIndex2) <=> v90(constB1, bitIndex2)))),
% 9.88/7.50 inference(quant_inst,[status(thm)],[])).
% 9.88/7.50 tff(40763,plain,
% 9.88/7.50 ((~![VarCurr: $i, B: $i] : ((~less_3(B)) | (v88(VarCurr, B) <=> v90(VarCurr, B)))) | (~less_3(bitIndex2)) | (v88(constB1, bitIndex2) <=> v90(constB1, bitIndex2))),
% 9.88/7.50 inference(modus_ponens,[status(thm)],[40762, 40761])).
% 9.88/7.50 tff(40764,plain,
% 9.88/7.50 (v88(constB1, bitIndex2) <=> v90(constB1, bitIndex2)),
% 9.88/7.50 inference(unit_resolution,[status(thm)],[40763, 648, 372])).
% 9.88/7.50 tff(40765,plain,
% 9.88/7.50 ((~(v88(constB1, bitIndex2) <=> v90(constB1, bitIndex2))) | (~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2)),
% 9.88/7.50 inference(tautology,[status(thm)],[])).
% 9.88/7.50 tff(40766,plain,
% 9.88/7.50 ((~(v88(constB1, bitIndex2) <